##############ECHO OF PROBLEM################# ##############temp/mtest1postode.ode################# diff ( y1 , x , 1 ) = m1 * y2 + 1.0 ; diff ( y2 , x , 1 ) = y1 - 1.0 ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=0.1 x_end=10.0 $array_y1_init[0 + 1] = exact_soln_y1(x_start) $array_y2_init[0 + 1] = exact_soln_y2(x_start) $glob_look_poles=true $glob_max_iter=1000000 $glob_display_interval=0.1 $glob_max_minutes=10 #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=10 $glob_display_interval=0.01 $glob_look_poles=true $glob_max_iter=1000000000 $glob_max_minutes=10.0 $glob_subiter_method=3 #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y1 (x) return(1.0 + cos(x)) end def exact_soln_y2 (x) return(1.0 + sin(x)) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Optimize min_size 0.0 min_size 1.0 $glob_desired_digits_correct 10 estimated_h 1.0e-06 estimated_answer 1.0 desired_abs_gbl_error 1.0e-10 range 9.9 estimated_steps 9900000.0 step_error 1.0101010101010102e-17 est_needed_step_err 1.0101010101010102e-17 opt_iter 1 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.4672086055323017e-183 estimated_step_error 2.4672086055323017e-183 best_h 2.0e-06 opt_iter 2 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.6557156646065657e-175 estimated_step_error 1.6557156646065657e-175 best_h 4.0e-06 opt_iter 3 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.1111319694584355e-167 estimated_step_error 1.1111319694584355e-167 best_h 8.0e-06 opt_iter 4 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 7.456680367024186e-160 estimated_step_error 7.456680367024186e-160 best_h 1.6e-05 opt_iter 5 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 5.004093412037816e-152 estimated_step_error 5.004093412037816e-152 best_h 3.2e-05 opt_iter 6 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 3.358190142481624e-144 estimated_step_error 3.358190142481624e-144 best_h 6.4e-05 opt_iter 7 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.25364312158092e-136 estimated_step_error 2.25364312158092e-136 best_h 0.000128 opt_iter 8 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.5123941176543068e-128 estimated_step_error 1.5123941176543068e-128 best_h 0.000256 opt_iter 9 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.0149502701580555e-120 estimated_step_error 1.0149502701580555e-120 best_h 0.000512 opt_iter 10 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 6.811212724408107e-113 estimated_step_error 6.811212724408107e-113 best_h 0.001024 opt_iter 11 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 4.570923134360028e-105 estimated_step_error 4.570923134360028e-105 best_h 0.002048 opt_iter 12 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 3.067488750234037e-97 estimated_step_error 3.067488750234037e-97 best_h 0.004096 opt_iter 13 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.0585490116181713e-89 estimated_step_error 2.0585490116181713e-89 best_h 0.008192 opt_iter 14 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.3814583197406789e-81 estimated_step_error 1.3814583197406789e-81 best_h 0.016384 opt_iter 15 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 9.27066811845143e-74 estimated_step_error 9.27066811845143e-74 best_h 0.032768 opt_iter 16 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 6.221249002141341e-66 estimated_step_error 6.221249002141341e-66 best_h 0.065536 opt_iter 17 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 4.174750875751544e-58 estimated_step_error 4.174750875751544e-58 best_h 0.131072 opt_iter 18 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.8012747580090023e-50 estimated_step_error 2.8012747580090023e-50 best_h 0.1 START of Soultion TOP MAIN SOLVE Loop x[1] 0.1 y1[1] (analytic) 1.9950041652780257 y1[1] (numeric) 1.9950041652780257 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 y2[1] (analytic) 1.0998334166468282 y2[1] (numeric) 1.0998334166468282 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09933466539753057 Order of pole (three term test) 22.009966711079382 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.09933466539753057 Order of pole (three term test) 22.990033288920625 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.11 y1[1] (analytic) 1.9939560979566968 y1[1] (numeric) 1.9939560979566968 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 y2[1] (analytic) 1.1097783008371749 y2[1] (numeric) 1.1097783008371749 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10911481154043476 Order of pole (three term test) 22.0120512753347 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.10911481154043479 Order of pole (three term test) 22.9879487246653 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.12 y1[1] (analytic) 1.9928086358538661 y1[1] (numeric) 1.9928086358538661 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 y2[1] (analytic) 1.1197122072889194 y2[1] (numeric) 1.1197122072889194 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11885131321356733 Order of pole (three term test) 22.014331012573983 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.11885131321356733 Order of pole (three term test) 22.985668987426013 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.13 y1[1] (analytic) 1.991561893714788 y1[1] (numeric) 1.9915618937147879 absolute error 2.220446049250313e-16 relative error 1.1149269607225692e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.129634142619695 y2[1] (numeric) 1.129634142619695 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.12854027594607761 Order of pole (three term test) 22.01680501093274 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.12854027594607764 Order of pole (three term test) 22.983194989067254 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.14 y1[1] (analytic) 1.9902159962126371 y1[1] (numeric) 1.990215996212637 absolute error 2.220446049250313e-16 relative error 1.1156809378860393e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.1395431146442365 y2[1] (numeric) 1.1395431146442365 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13817782428205694 Order of pole (three term test) 22.019472280844614 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.13817782428205697 Order of pole (three term test) 22.980527719155383 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.15000000000000002 y1[1] (analytic) 1.9887710779360424 y1[1] (numeric) 1.988771077936042 absolute error 4.440892098500626e-16 relative error 2.2329830455445925e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.1494381324735992 y2[1] (numeric) 1.1494381324735992 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14776010333066975 Order of pole (three term test) 22.022331755437193 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.14776010333066977 Order of pole (three term test) 22.97766824456281 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.16000000000000003 y1[1] (analytic) 1.9872272833756268 y1[1] (numeric) 1.9872272833756266 absolute error 2.220446049250313e-16 relative error 1.1173588787884023e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.159318206614246 y2[1] (numeric) 1.159318206614246 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15728328030805883 Order of pole (three term test) 22.025382290958774 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.15728328030805885 Order of pole (three term test) 22.97461770904122 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.17000000000000004 y1[1] (analytic) 1.9855847669095605 y1[1] (numeric) 1.9855847669095603 absolute error 2.220446049250313e-16 relative error 1.118283180982648e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.1691823490669961 y2[1] (numeric) 1.1691823490669961 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16674354607040734 Order of pole (three term test) 22.028622667235826 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.16674354607040737 Order of pole (three term test) 22.971377332764174 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.18000000000000005 y1[1] (analytic) 1.9838436927881213 y1[1] (numeric) 1.9838436927881211 absolute error 2.220446049250313e-16 relative error 1.1192646161198656e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.1790295734258243 y2[1] (numeric) 1.1790295734258243 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17613711663754503 Order of pole (three term test) 22.032051588161035 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.176137116637545 Order of pole (three term test) 22.967948411838968 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.19000000000000006 y1[1] (analytic) 1.9820042351172704 y1[1] (numeric) 1.98200423511727 absolute error 4.440892098500626e-16 relative error 2.240606765523823e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.1888588949765007 y2[1] (numeric) 1.1888588949765007 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18546023470649145 Order of pole (three term test) 22.035667682211745 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.18546023470649148 Order of pole (three term test) 22.964332317788262 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.20000000000000007 y1[1] (analytic) 1.9800665778412416 y1[1] (numeric) 1.9800665778412412 absolute error 4.440892098500626e-16 relative error 2.2427993827067613e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.1986693307950613 y2[1] (numeric) 1.1986693307950613 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19470917115432532 Order of pole (three term test) 22.039469502998553 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1947091711543254 Order of pole (three term test) 22.96053049700144 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.21000000000000008 y1[1] (analytic) 1.9780309147241484 y1[1] (numeric) 1.9780309147241477 absolute error 6.661338147750939e-16 relative error 3.3676612929378375e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.2084598998460996 y2[1] (numeric) 1.2084598998460996 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20388022652978524 Order of pole (three term test) 22.043455529843847 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2038802265297853 Order of pole (three term test) 22.956544470156157 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.22000000000000008 y1[1] (analytic) 1.9758974493306054 y1[1] (numeric) 1.975897449330605 absolute error 4.440892098500626e-16 relative error 2.2475316722561242e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.2182296230808694 y2[1] (numeric) 1.2182296230808694 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2129697325329999 Order of pole (three term test) 22.04762416839002 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2129697325329999 Order of pole (three term test) 22.95237583160998 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.2300000000000001 y1[1] (analytic) 1.9736663950053748 y1[1] (numeric) 1.9736663950053743 absolute error 4.440892098500626e-16 relative error 2.2500723069202038e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.2279775235351884 y2[1] (numeric) 1.2279775235351884 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22197405348275995 Order of pole (three term test) 22.051973751237238 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.22197405348275995 Order of pole (three term test) 22.948026248762762 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.2400000000000001 y1[1] (analytic) 1.9713379748520294 y1[1] (numeric) 1.971337974852029 absolute error 4.440892098500626e-16 relative error 2.252729950496674e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.2377026264271347 y2[1] (numeric) 1.2377026264271347 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23088958777074162 Order of pole (three term test) 22.056502538610356 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.23088958777074162 Order of pole (three term test) 22.943497461389644 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.2500000000000001 y1[1] (analytic) 1.9689124217106446 y1[1] (numeric) 1.9689124217106442 absolute error 4.440892098500626e-16 relative error 2.255505145649017e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.247403959254523 y2[1] (numeric) 1.247403959254523 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2397127693021016 Order of pole (three term test) 22.06120871905481 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.23971276930210153 Order of pole (three term test) 22.93879128094518 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.2600000000000001 y1[1] (analytic) 1.9663899781345133 y1[1] (numeric) 1.9663899781345127 absolute error 6.661338147750939e-16 relative error 3.3875976900932224e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.2570805518921553 y2[1] (numeric) 1.257080551892155 absolute error 2.220446049250313e-16 relative error 1.7663514449476623e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2484400689218684 Order of pole (three term test) 22.06609041016118 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.24844006892186837 Order of pole (three term test) 22.93390958983882 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.27000000000000013 y1[1] (analytic) 1.9637708963658906 y1[1] (numeric) 1.96377089636589 absolute error 6.661338147750939e-16 relative error 3.392115730036665e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.2667314366888314 y2[1] (numeric) 1.2667314366888311 absolute error 2.220446049250313e-16 relative error 1.7528940902062405e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2570679958265568 Order of pole (three term test) 22.07114565931809 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.25706799582655676 Order of pole (three term test) 22.92885434068191 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.28000000000000014 y1[1] (analytic) 1.9610554383107708 y1[1] (numeric) 1.9610554383107703 absolute error 4.440892098500626e-16 relative error 2.2645418440214808e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.2763556485641139 y2[1] (numeric) 1.2763556485641137 absolute error 2.220446049250313e-16 relative error 1.7396765954287822e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.26559309896044186 Order of pole (three term test) 22.07637244449329 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2655930989604418 Order of pole (three term test) 22.923627555506705 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.29000000000000015 y1[1] (analytic) 1.958243875512697 y1[1] (numeric) 1.9582438755126965 absolute error 4.440892098500626e-16 relative error 2.2677931763417034e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.2859522251048356 y2[1] (numeric) 1.2859522251048354 absolute error 2.220446049250313e-16 relative error 1.726694045005672e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.27401196839593667 Order of pole (three term test) 22.081768675042404 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2740119683959367 Order of pole (three term test) 22.91823132495759 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.30000000000000016 y1[1] (analytic) 1.955336489125606 y1[1] (numeric) 1.9553364891256053 absolute error 6.661338147750939e-16 relative error 3.40674773104131e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.2955202066613398 y2[1] (numeric) 1.2955202066613394 absolute error 4.440892098500626e-16 relative error 3.427883313333386e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2823212366975176 Order of pole (three term test) 22.08733219254516 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2823212366975175 Order of pole (three term test) 22.912667807454838 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.31000000000000016 y1[1] (analytic) 1.9523335698857134 y1[1] (numeric) 1.9523335698857127 absolute error 6.661338147750939e-16 relative error 3.411987710758302e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.3050586364434436 y2[1] (numeric) 1.3050586364434433 absolute error 2.220446049250313e-16 relative error 1.7014147772712272e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2905175802686526 Order of pole (three term test) 22.093060771668735 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2905175802686527 Order of pole (three term test) 22.90693922833127 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.3200000000000002 y1[1] (analytic) 1.949235418082441 y1[1] (numeric) 1.9492354180824403 absolute error 6.661338147750939e-16 relative error 3.4174107888435693e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.3145665606161179 y2[1] (numeric) 1.3145665606161177 absolute error 2.220446049250313e-16 relative error 1.6891088787543956e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.29859772068119633 Order of pole (three term test) 22.098952121057856 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2985977206811963 Order of pole (three term test) 22.901047878942144 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.3300000000000002 y1[1] (analytic) 1.946042343528387 y1[1] (numeric) 1.9460423435283865 absolute error 4.440892098500626e-16 relative error 2.2820120606670893e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.3240430283948685 y2[1] (numeric) 1.3240430283948683 absolute error 2.220446049250313e-16 relative error 1.677019554222607e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.306558425986717 Order of pole (three term test) 22.105003884251317 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.30655842598671695 Order of pole (three term test) 22.894996115748683 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.3400000000000002 y1[1] (analytic) 1.942754665528346 y1[1] (numeric) 1.9427546655283456 absolute error 4.440892098500626e-16 relative error 2.285873855972902e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.3334870921408146 y2[1] (numeric) 1.3334870921408144 absolute error 2.220446049250313e-16 relative error 1.6651425141922832e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.31439651200923435 Order of pole (three term test) 22.111213640624534 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.31439651200923435 Order of pole (three term test) 22.888786359375455 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.3500000000000002 y1[1] (analytic) 1.939372712847379 y1[1] (numeric) 1.9393727128473783 absolute error 6.661338147750939e-16 relative error 3.434790075998744e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.3428978074554516 y2[1] (numeric) 1.3428978074554514 absolute error 2.220446049250313e-16 relative error 1.653473582965823e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3221088436188459 Order of pole (three term test) 22.117578906357757 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.32210884361884584 Order of pole (three term test) 22.88242109364224 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.3600000000000002 y1[1] (analytic) 1.9358968236779348 y1[1] (numeric) 1.9358968236779344 absolute error 4.440892098500626e-16 relative error 2.2939714783267988e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.35227423327509 y2[1] (numeric) 1.35227423327509 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.32969233598573694 Order of pole (three term test) 22.12409713542955 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3296923359857369 Order of pole (three term test) 22.875902864570445 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.3700000000000002 y1[1] (analytic) 1.9323273456060344 y1[1] (numeric) 1.932327345606034 absolute error 4.440892098500626e-16 relative error 2.2982090009743315e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.3616154319649623 y2[1] (numeric) 1.361615431964962 absolute error 2.220446049250313e-16 relative error 1.630743892235389e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.33714395581407264 Order of pole (three term test) 22.130765720635207 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3371439558140726 Order of pole (three term test) 22.86923427936479 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.3800000000000002 y1[1] (analytic) 1.92866463557651 y1[1] (numeric) 1.9286646355765098 absolute error 2.220446049250313e-16 relative error 1.1512867547273633e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.3709204694129828 y2[1] (numeric) 1.3709204694129826 absolute error 2.220446049250313e-16 relative error 1.6196753194596988e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.34446072255527554 Order of pole (three term test) 22.137581994629546 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3444607225552755 Order of pole (three term test) 22.86241800537045 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.39000000000000024 y1[1] (analytic) 1.9249090598573129 y1[1] (numeric) 1.9249090598573126 absolute error 2.220446049250313e-16 relative error 1.1535329619233583e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.3801884151231616 y2[1] (numeric) 1.3801884151231614 absolute error 2.220446049250313e-16 relative error 1.6087992225700365e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3516397096002051 Order of pole (three term test) 22.14454323099386 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.35163970960020513 Order of pole (three term test) 22.85545676900614 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.40000000000000024 y1[1] (analytic) 1.921060994002885 y1[1] (numeric) 1.9210609940028847 absolute error 4.440892098500626e-16 relative error 2.311687193880923e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.3894183423086508 y2[1] (numeric) 1.3894183423086504 absolute error 4.440892098500626e-16 relative error 3.1962238897189605e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3586780454497614 Order of pole (three term test) 22.151646645326416 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3586780454497614 Order of pole (three term test) 22.848353354673584 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.41000000000000025 y1[1] (analytic) 1.917120822816605 y1[1] (numeric) 1.9171208228166048 absolute error 2.220446049250313e-16 relative error 1.1582191496872207e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.3986093279844232 y2[1] (numeric) 1.3986093279844227 absolute error 4.440892098500626e-16 relative error 3.175219848490876e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3655729148634479 Order of pole (three term test) 22.158889396356194 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.36557291486344784 Order of pole (three term test) 22.841110603643806 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.42000000000000026 y1[1] (analytic) 1.9130889403123081 y1[1] (numeric) 1.913088940312308 absolute error 2.220446049250313e-16 relative error 1.1606601253404505e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.4077604530595704 y2[1] (numeric) 1.40776045305957 absolute error 4.440892098500626e-16 relative error 3.15457938092306e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.37232155998542965 Order of pole (three term test) 22.166268587079347 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3723215599854297 Order of pole (three term test) 22.83373141292066 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.43000000000000027 y1[1] (analytic) 1.908965749674885 y1[1] (numeric) 1.9089657496748849 absolute error 2.220446049250313e-16 relative error 1.1631670445781838e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.416870802429211 y2[1] (numeric) 1.4168708024292105 absolute error 4.440892098500626e-16 relative error 3.134295724696112e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.37892128144763826 Order of pole (three term test) 22.17378126591797 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.37892128144763826 Order of pole (three term test) 22.82621873408202 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.4400000000000003 y1[1] (analytic) 1.9047516632199633 y1[1] (numeric) 1.9047516632199633 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 y2[1] (analytic) 1.4259394650659998 y2[1] (numeric) 1.4259394650659993 absolute error 4.440892098500626e-16 relative error 3.1143622904742867e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.38536943944948443 Order of pole (three term test) 22.18142442790071 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.38536943944948454 Order of pole (three term test) 22.81857557209929 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.4500000000000003 y1[1] (analytic) 1.9004471023526768 y1[1] (numeric) 1.9004471023526768 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 y2[1] (analytic) 1.4349655341112304 y2[1] (numeric) 1.43496553411123 absolute error 4.440892098500626e-16 relative error 3.0947726568576896e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.39166345481374165 Order of pole (three term test) 22.189195015864673 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.39166345481374154 Order of pole (three term test) 22.810804984135327 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.4600000000000003 y1[1] (analytic) 1.896052497525525 y1[1] (numeric) 1.896052497525525 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 y2[1] (analytic) 1.44394810696552 y2[1] (numeric) 1.4439481069655196 absolute error 4.440892098500626e-16 relative error 3.075520565509263e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3978008100181828 Order of pole (three term test) 22.19708992167827 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.39780081001818285 Order of pole (three term test) 22.802910078321734 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.4700000000000003 y1[1] (analytic) 1.8915682881953289 y1[1] (numeric) 1.8915682881953289 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 y2[1] (analytic) 1.4528862853790685 y2[1] (numeric) 1.452886285379068 absolute error 4.440892098500626e-16 relative error 3.056599916449735e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.40377905020255667 Order of pole (three term test) 22.20510598748445 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.40377905020255667 Order of pole (three term test) 22.794894012515545 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.4800000000000003 y1[1] (analytic) 1.8869949227792842 y1[1] (numeric) 1.8869949227792842 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 y2[1] (analytic) 1.461779175541483 y2[1] (numeric) 1.4617791755414826 absolute error 4.440892098500626e-16 relative error 3.038004763514023e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.40959578415049896 Order of pole (three term test) 22.213240006963773 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.409595784150499 Order of pole (three term test) 22.786759993036224 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.4900000000000003 y1[1] (analytic) 1.8823328586101213 y1[1] (numeric) 1.8823328586101216 absolute error 2.220446049250313e-16 relative error 1.1796245489173727e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.4706258881711582 y2[1] (numeric) 1.4706258881711578 absolute error 4.440892098500626e-16 relative error 3.019729309962871e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.41524868524598507 Order of pole (three term test) 22.22148872661689 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4152486852459852 Order of pole (three term test) 22.77851127338311 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.5000000000000003 y1[1] (analytic) 1.8775825618903725 y1[1] (numeric) 1.8775825618903728 absolute error 2.220446049250313e-16 relative error 1.1826090070919393e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.4794255386042032 y2[1] (numeric) 1.4794255386042028 absolute error 4.440892098500626e-16 relative error 3.001767904243754e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4207354924039481 Order of pole (three term test) 22.22984884706593 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.42073549240394803 Order of pole (three term test) 22.77015115293407 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.5100000000000003 y1[1] (analytic) 1.8727445076457512 y1[1] (numeric) 1.8727445076457514 absolute error 2.220446049250313e-16 relative error 1.18566416304254e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.4881772468829078 y2[1] (numeric) 1.4881772468829073 absolute error 4.440892098500626e-16 relative error 2.984115035895346e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.42605401097468126 Order of pole (three term test) 22.238317024374176 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4260540109746813 Order of pole (three term test) 22.761682975625824 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.5200000000000004 y1[1] (analytic) 1.8678191796776498 y1[1] (numeric) 1.86781917967765 absolute error 2.220446049250313e-16 relative error 1.1887906888468294e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.496880137843737 y2[1] (numeric) 1.4968801378437366 absolute error 4.440892098500626e-16 relative error 2.966765331590111e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.43120211362166927 Order of pole (three term test) 22.246889871383612 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.43120211362166916 Order of pole (three term test) 22.753110128616388 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.5300000000000004 y1[1] (analytic) 1.8628070705147608 y1[1] (numeric) 1.862807070514761 absolute error 2.220446049250313e-16 relative error 1.1919892748940038e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.5055333412048473 y2[1] (numeric) 1.5055333412048468 absolute error 4.440892098500626e-16 relative error 2.949713551309778e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4361777411724932 Order of pole (three term test) 22.25556395906974 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.43617774117249314 Order of pole (three term test) 22.74443604093026 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.5400000000000004 y1[1] (analytic) 1.857708681363824 y1[1] (numeric) 1.8577086813638242 absolute error 2.220446049250313e-16 relative error 1.1952606302190438e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.5141359916531134 y2[1] (numeric) 1.514135991653113 absolute error 4.440892098500626e-16 relative error 2.9329545846487143e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.44097890344247365 Order of pole (three term test) 22.26433581791313 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.44097890344247376 Order of pole (three term test) 22.735664182086868 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.5500000000000004 y1[1] (analytic) 1.8525245220595057 y1[1] (numeric) 1.8525245220595057 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 y2[1] (analytic) 1.5226872289306594 y2[1] (numeric) 1.522687228930659 absolute error 4.440892098500626e-16 relative error 2.9164834472404026e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.44560368003071754 Order of pole (three term test) 22.273201939287212 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.44560368003071754 Order of pole (three term test) 22.726798060712785 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.5600000000000004 y1[1] (analytic) 1.8472551110134159 y1[1] (numeric) 1.847255111013416 absolute error 2.220446049250313e-16 relative error 1.20202458015242e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.5311861979208836 y2[1] (numeric) 1.5311861979208832 absolute error 4.440892098500626e-16 relative error 2.9002952773024454e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4500502210882523 Order of pole (three term test) 22.282158776861642 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4500502210882525 Order of pole (three term test) 22.71784122313835 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.5700000000000004 y1[1] (analytic) 1.8419009751622686 y1[1] (numeric) 1.8419009751622688 absolute error 2.220446049250313e-16 relative error 1.2055186892198128e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.5396320487339694 y2[1] (numeric) 1.539632048733969 absolute error 4.440892098500626e-16 relative error 2.884385332295691e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.45431674805794137 Order of pole (three term test) 22.29120274802082 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4543167480579414 Order of pole (three term test) 22.708797251979178 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.5800000000000004 y1[1] (analytic) 1.8364626499151866 y1[1] (numeric) 1.836462649915187 absolute error 4.440892098500626e-16 relative error 2.418177194458989e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.548023936791874 y2[1] (numeric) 1.5480239367918733 absolute error 6.661338147750939e-16 relative error 4.303123478539939e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4584015543858834 Order of pole (three term test) 22.300330235296865 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4584015543858835 Order of pole (three term test) 22.69966976470314 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.5900000000000004 y1[1] (analytic) 1.8309406791001632 y1[1] (numeric) 1.8309406791001637 absolute error 4.440892098500626e-16 relative error 2.4254702236902364e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.556361022912784 y2[1] (numeric) 1.5563610229127836 absolute error 4.440892098500626e-16 relative error 2.8533817238556523e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4623030062040098 Order of pole (three term test) 22.309537587816557 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.46230300620400994 Order of pole (three term test) 22.69046241218344 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6000000000000004 y1[1] (analytic) 1.8253356149096782 y1[1] (numeric) 1.8253356149096784 absolute error 2.220446049250313e-16 relative error 1.2164590616176554e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.5646424733950357 y2[1] (numeric) 1.564642473395035 absolute error 6.661338147750939e-16 relative error 4.257418714511086e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.466019542983613 Order of pole (three term test) 22.318821122761662 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.466019542983613 Order of pole (three term test) 22.681178877238334 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6100000000000004 y1[1] (analytic) 1.8196480178454792 y1[1] (numeric) 1.8196480178454797 absolute error 4.440892098500626e-16 relative error 2.440522592802746e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.5728674601004817 y2[1] (numeric) 1.5728674601004808 absolute error 8.881784197001252e-16 relative error 5.646873892625285e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46954967815953363 Order of pole (three term test) 22.328177126841975 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.46954967815953363 Order of pole (three term test) 22.671822873158018 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6200000000000004 y1[1] (analytic) 1.8138784566625337 y1[1] (numeric) 1.8138784566625341 absolute error 4.440892098500626e-16 relative error 2.4482853755657347e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.5810351605373054 y2[1] (numeric) 1.5810351605373048 absolute error 6.661338147750939e-16 relative error 4.213276411567674e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4728919997247692 Order of pole (three term test) 22.33760185778061 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.47289199972476936 Order of pole (three term test) 22.662398142219388 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6300000000000004 y1[1] (analytic) 1.8080275083121515 y1[1] (numeric) 1.808027508312152 absolute error 4.440892098500626e-16 relative error 2.4562082590470837e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.58914475794227 y2[1] (numeric) 1.5891447579422693 absolute error 6.661338147750939e-16 relative error 4.191775553774271e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4760451707952579 Order of pole (three term test) 22.34709154581085 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.476045170795258 Order of pole (three term test) 22.65290845418915 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6400000000000005 y1[1] (analytic) 1.8020957578842922 y1[1] (numeric) 1.8020957578842927 absolute error 4.440892098500626e-16 relative error 2.4642930760318475e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.5971954413623926 y2[1] (numeric) 1.5971954413623919 absolute error 6.661338147750939e-16 relative error 4.1706468571365824e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47900793014461246 Order of pole (three term test) 22.35664239518403 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4790079301446124 Order of pole (three term test) 22.64335760481598 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6500000000000005 y1[1] (analytic) 1.7960837985490556 y1[1] (numeric) 1.7960837985490559 absolute error 2.220446049250313e-16 relative error 1.2362708527542386e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.6051864057360399 y2[1] (numeric) 1.6051864057360394 absolute error 4.440892098500626e-16 relative error 2.7665896512899423e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4817790927085964 Order of pole (three term test) 22.36625058568771 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4817790927085965 Order of pole (three term test) 22.633749414312295 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6600000000000005 y1[1] (analytic) 1.7899922314973646 y1[1] (numeric) 1.789992231497365 absolute error 4.440892098500626e-16 relative error 2.480956073639342e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.6131168519734342 y2[1] (numeric) 1.6131168519734336 absolute error 6.661338147750939e-16 relative error 4.1294827089566865e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48435755005913267 Order of pole (three term test) 22.375912274173814 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.48435755005913256 Order of pole (three term test) 22.624087725826186 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6700000000000005 y1[1] (analytic) 1.783821665880849 y1[1] (numeric) 1.7838216658808492 absolute error 2.220446049250313e-16 relative error 1.2447690773807591e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.6209859870365602 y2[1] (numeric) 1.6209859870365595 absolute error 6.661338147750939e-16 relative error 4.109435985889678e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4867422708476596 Order of pole (three term test) 22.385623596095773 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4867422708476596 Order of pole (three term test) 22.61437640390423 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6800000000000005 y1[1] (analytic) 1.7775727187509276 y1[1] (numeric) 1.7775727187509278 absolute error 2.220446049250313e-16 relative error 1.2491449862093888e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.628793024018469 y2[1] (numeric) 1.6287930240184683 absolute error 6.661338147750939e-16 relative error 4.0897388738296844e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48893230121765796 Order of pole (three term test) 22.395380667054287 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.48893230121765807 Order of pole (three term test) 22.604619332945713 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6900000000000005 y1[1] (analytic) 1.7712460149971063 y1[1] (numeric) 1.7712460149971065 absolute error 2.220446049250313e-16 relative error 1.2536068002128663e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.6365371822219683 y2[1] (numeric) 1.6365371822219676 absolute error 6.661338147750939e-16 relative error 4.0703860688986424e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4909267651861798 Order of pole (three term test) 22.40517958435108 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4909267651861797 Order of pole (three term test) 22.59482041564892 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7000000000000005 y1[1] (analytic) 1.7648421872844882 y1[1] (numeric) 1.7648421872844884 absolute error 2.220446049250313e-16 relative error 1.2581555819825735e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.6442176872376915 y2[1] (numeric) 1.6442176872376908 absolute error 6.661338147750939e-16 relative error 4.0513723939693655e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49272486499422996 Order of pole (three term test) 22.415016428549876 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49272486499422996 Order of pole (three term test) 22.58498357145012 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7100000000000005 y1[1] (analytic) 1.758361875990508 y1[1] (numeric) 1.7583618759905082 absolute error 2.220446049250313e-16 relative error 1.262792420359721e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.6518337710215372 y2[1] (numeric) 1.6518337710215365 absolute error 6.661338147750939e-16 relative error 4.032692795493213e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49432588142585987 Order of pole (three term test) 22.424887265044156 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49432588142585976 Order of pole (three term test) 22.57511273495584 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7200000000000005 y1[1] (analytic) 1.7518057291408946 y1[1] (numeric) 1.751805729140895 absolute error 4.440892098500626e-16 relative error 2.5350368620374873e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.6593846719714735 y2[1] (numeric) 1.6593846719714729 absolute error 6.661338147750939e-16 relative error 4.0143423404271715e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4957291740958432 Order of pole (three term test) 22.434788145630925 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49572917409584316 Order of pole (three term test) 22.56521185436907 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7300000000000005 y1[1] (analytic) 1.7451744023448699 y1[1] (numeric) 1.7451744023448705 absolute error 6.661338147750939e-16 relative error 3.817004271206683e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.6668696350036982 y2[1] (numeric) 1.6668696350036976 absolute error 6.661338147750939e-16 relative error 3.996316213256929e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4969341817058224 Order of pole (three term test) 22.44471511008997 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49693418170582243 Order of pole (three term test) 22.555284889910034 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7400000000000005 y1[1] (analytic) 1.7384685587295876 y1[1] (numeric) 1.738468558729588 absolute error 4.440892098500626e-16 relative error 2.5544851393492416e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.6742879116281455 y2[1] (numeric) 1.6742879116281448 absolute error 6.661338147750939e-16 relative error 3.978609713112713e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49794042226881996 Order of pole (three term test) 22.454664187767843 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49794042226881996 Order of pole (three term test) 22.545335812232153 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7500000000000006 y1[1] (analytic) 1.7316888688738206 y1[1] (numeric) 1.731688868873821 absolute error 4.440892098500626e-16 relative error 2.5644861373906605e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.6816387600233345 y2[1] (numeric) 1.681638760023334 absolute error 4.440892098500626e-16 relative error 2.6408121673164838e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4987474933020272 Order of pole (three term test) 22.46463139916615 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49874749330202733 Order of pole (three term test) 22.535368600833856 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7600000000000006 y1[1] (analytic) 1.7248360107409049 y1[1] (numeric) 1.7248360107409053 absolute error 4.440892098500626e-16 relative error 2.574674966690333e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.6889214451105516 y2[1] (numeric) 1.6889214451105512 absolute error 4.440892098500626e-16 relative error 2.6294248979767907e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4993550719877914 Order of pole (three term test) 22.47461275753321 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4993550719877915 Order of pole (three term test) 22.52538724246679 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7700000000000006 y1[1] (analytic) 1.717910669610943 y1[1] (numeric) 1.7179106696109434 absolute error 4.440892098500626e-16 relative error 2.5850541457469147e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.6961352386273572 y2[1] (numeric) 1.6961352386273567 absolute error 4.440892098500626e-16 relative error 2.6182417518160505e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4997629153027394 Order of pole (three term test) 22.484604270458767 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49976291530273953 Order of pole (three term test) 22.515395729541233 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7800000000000006 y1[1] (analytic) 1.710913538012277 y1[1] (numeric) 1.7109135380122773 absolute error 2.220446049250313e-16 relative error 1.2978131272665046e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.7032794192004106 y2[1] (numeric) 1.7032794192004101 absolute error 4.440892098500626e-16 relative error 2.6072598825772012e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4999708601149831 Order of pole (three term test) 22.494601941470865 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4999708601149831 Order of pole (three term test) 22.50539805852914 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7900000000000006 y1[1] (analytic) 1.7038453156522357 y1[1] (numeric) 1.703845315652236 absolute error 2.220446049250313e-16 relative error 1.3031969679714272e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.7103532724176083 y2[1] (numeric) 1.7103532724176078 absolute error 4.440892098500626e-16 relative error 2.596476511676072e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4999788232493701 Order of pole (three term test) 22.50460177163441 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49997882324937 Order of pole (three term test) 22.495398228365598 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8000000000000006 y1[1] (analytic) 1.6967067093471648 y1[1] (numeric) 1.6967067093471653 absolute error 4.440892098500626e-16 relative error 2.6173598972855662e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.7173560908995231 y2[1] (numeric) 1.7173560908995227 absolute error 4.440892098500626e-16 relative error 2.5858889266084353e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4997868015207525 Order of pole (three term test) 22.514599761150645 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4997868015207525 Order of pole (three term test) 22.485400238849355 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8100000000000006 y1[1] (analytic) 1.6894984329517466 y1[1] (numeric) 1.6894984329517468 absolute error 2.220446049250313e-16 relative error 1.3142634559127353e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.724287174370143 y2[1] (numeric) 1.7242871743701425 absolute error 4.440892098500626e-16 relative error 2.5754944794058562e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49939487173526204 Order of pole (three term test) 22.52459191095709 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4993948717352621 Order of pole (three term test) 22.47540808904292 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8200000000000006 y1[1] (analytic) 1.682221207287613 y1[1] (numeric) 1.6822212072876135 absolute error 4.440892098500626e-16 relative error 2.6398978203711096e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.7311458297268962 y2[1] (numeric) 1.7311458297268958 absolute error 4.440892098500626e-16 relative error 2.5652905851387555e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49880319065958684 Order of pole (three term test) 22.53457422432703 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49880319065958667 Order of pole (three term test) 22.465425775672966 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8300000000000006 y1[1] (analytic) 1.6748757600712665 y1[1] (numeric) 1.674875760071267 absolute error 4.440892098500626e-16 relative error 2.6514755329145518e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.737931371109963 y2[1] (numeric) 1.7379313711099627 absolute error 4.440892098500626e-16 relative error 2.5552747204651502e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49801199495826826 Order of pole (three term test) 22.54454270846823 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49801199495826837 Order of pole (three term test) 22.45545729153177 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8400000000000006 y1[1] (analytic) 1.6674628258413078 y1[1] (numeric) 1.667462825841308 absolute error 2.220446049250313e-16 relative error 1.3316315151613657e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.7446431199708599 y2[1] (numeric) 1.7446431199708592 absolute error 6.661338147750939e-16 relative error 3.818166633335419e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49702160109903804 Order of pole (three term test) 22.554493376119936 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4970216010990379 Order of pole (three term test) 22.44550662388006 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8500000000000006 y1[1] (analytic) 1.6599831458849816 y1[1] (numeric) 1.659983145884982 absolute error 4.440892098500626e-16 relative error 2.675263366082592e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.7512804051402933 y2[1] (numeric) 1.7512804051402926 absolute error 6.661338147750939e-16 relative error 3.8036959291035444e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4958324052262343 Order of pole (three term test) 22.564422247147764 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49583240522623434 Order of pole (three term test) 22.43557775285224 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8600000000000007 y1[1] (analytic) 1.6524374681640515 y1[1] (numeric) 1.6524374681640517 absolute error 2.220446049250313e-16 relative error 1.3437398340509371e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.7578425628952774 y2[1] (numeric) 1.757842562895277 absolute error 4.440892098500626e-16 relative error 2.5263309651498012e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4944448830023507 Order of pole (three term test) 22.574325350135684 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4944448830023506 Order of pole (three term test) 22.425674649864323 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8700000000000007 y1[1] (analytic) 1.6448265472400005 y1[1] (numeric) 1.644826547240001 absolute error 4.440892098500626e-16 relative error 2.6999151405674904e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.7643289370255055 y2[1] (numeric) 1.764328937025505 absolute error 4.440892098500626e-16 relative error 2.517043168825172e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49285958941777663 Order of pole (three term test) 22.584198723974538 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4928595894177766 Order of pole (three term test) 22.415801276025455 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8800000000000007 y1[1] (analytic) 1.6371511441985795 y1[1] (numeric) 1.63715114419858 absolute error 4.440892098500626e-16 relative error 2.7125730658634683e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.7707388788989697 y2[1] (numeric) 1.7707388788989693 absolute error 4.440892098500626e-16 relative error 2.507931661421437e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4910771585688092 Order of pole (three term test) 22.59403841944644 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4910771585688092 Order of pole (three term test) 22.40596158055356 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8900000000000007 y1[1] (analytic) 1.6294120265736964 y1[1] (numeric) 1.6294120265736967 absolute error 2.220446049250313e-16 relative error 1.362728403275281e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.7770717475268243 y2[1] (numeric) 1.7770717475268238 absolute error 4.440892098500626e-16 relative error 2.4989942610258016e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4890983034040223 Order of pole (three term test) 22.6038405008044 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.48909830340402227 Order of pole (three term test) 22.39615949919561 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9000000000000007 y1[1] (analytic) 1.621609968270664 y1[1] (numeric) 1.6216099682706642 absolute error 2.220446049250313e-16 relative error 1.3692849037048451e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.7833269096274837 y2[1] (numeric) 1.7833269096274833 absolute error 4.440892098500626e-16 relative error 2.4902288383167372e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4869238154390975 Order of pole (three term test) 22.61360104734655 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4869238154390975 Order of pole (three term test) 22.386398952653458 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9100000000000007 y1[1] (analytic) 1.613745749488811 y1[1] (numeric) 1.6137457494888112 absolute error 2.220446049250313e-16 relative error 1.3759577987757289e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.789503739689951 y2[1] (numeric) 1.7895037396899502 absolute error 6.661338147750939e-16 relative error 3.7224499731445553e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48455456444022804 Order of pole (three term test) 22.62331615498442 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4845545644402279 Order of pole (three term test) 22.37668384501558 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9200000000000007 y1[1] (analytic) 1.6058201566434622 y1[1] (numeric) 1.6058201566434624 absolute error 2.220446049250313e-16 relative error 1.382748896297056e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.7956016200363665 y2[1] (numeric) 1.7956016200363658 absolute error 6.661338147750939e-16 relative error 3.709808497285732e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.481991498076224 Order of pole (three term test) 22.63298193780449 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.48199149807622405 Order of pole (three term test) 22.36701806219551 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9300000000000007 y1[1] (analytic) 1.5978339822872978 y1[1] (numeric) 1.5978339822872978 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 y2[1] (analytic) 1.8016199408837776 y2[1] (numeric) 1.801619940883777 absolute error 6.661338147750939e-16 relative error 3.697415862572683e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.479235641539457 Order of pole (three term test) 22.642594529622514 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4792356415394569 Order of pole (three term test) 22.357405470377486 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9400000000000007 y1[1] (analytic) 1.5897880250310976 y1[1] (numeric) 1.5897880250310978 absolute error 2.220446049250313e-16 relative error 1.396693152979863e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.8075581004051147 y2[1] (numeric) 1.807558100405114 absolute error 6.661338147750939e-16 relative error 3.685269174063054e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4762880971357977 Order of pole (three term test) 22.652150085529918 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.47628809713579773 Order of pole (three term test) 22.347849914470086 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9500000000000007 y1[1] (analytic) 1.581683089463883 y1[1] (numeric) 1.5816830894638831 absolute error 2.220446049250313e-16 relative error 1.4038501543333445e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.8134155047893743 y2[1] (numeric) 1.8134155047893734 absolute error 8.881784197001252e-16 relative error 4.897820810257636e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4731500438437072 Order of pole (three term test) 22.66164478343175 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4731500438437073 Order of pole (three term test) 22.33835521656825 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9600000000000007 y1[1] (analytic) 1.573519986072456 y1[1] (numeric) 1.5735199860724562 absolute error 2.220446049250313e-16 relative error 1.4111330449590286e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.8191915683009987 y2[1] (numeric) 1.8191915683009978 absolute error 8.881784197001252e-16 relative error 4.8822698784253024e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4698227368426626 Order of pole (three term test) 22.67107482557545 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.46982273684266257 Order of pole (three term test) 22.32892517442455 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9700000000000008 y1[1] (analytic) 1.5652995311603537 y1[1] (numeric) 1.565299531160354 absolute error 2.220446049250313e-16 relative error 1.4185438665558792e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.8248857133384506 y2[1] (numeric) 1.8248857133384495 absolute error 1.1102230246251565e-15 relative error 6.083794818000474e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46630750701110024 Order of pole (three term test) 22.680436440069883 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.46630750701110024 Order of pole (three term test) 22.319563559930117 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9800000000000008 y1[1] (analytic) 1.5570225467662167 y1[1] (numeric) 1.5570225467662169 absolute error 2.220446049250313e-16 relative error 1.426084711401233e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.830497370491971 y2[1] (numeric) 1.8304973704919698 absolute error 1.1102230246251565e-15 relative error 6.06514405604838e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4626057603940842 Order of pole (three term test) 22.689725882394075 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.46260576039408446 Order of pole (three term test) 22.31027411760593 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9900000000000008 y1[1] (analytic) 1.5486898605815869 y1[1] (numeric) 1.548689860581587 absolute error 2.220446049250313e-16 relative error 1.4337577237165215e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.8360259786005209 y2[1] (numeric) 1.8360259786005197 absolute error 1.1102230246251565e-15 relative error 6.046880804330475e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.45871897764090475 Order of pole (three term test) 22.698939436894953 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4587189776409049 Order of pole (three term test) 22.301060563105043 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.0000000000000007 y1[1] (analytic) 1.5403023058681393 y1[1] (numeric) 1.5403023058681393 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 y2[1] (analytic) 1.8414709848078967 y2[1] (numeric) 1.8414709848078958 absolute error 8.881784197001252e-16 relative error 4.823200729349425e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4546487134128406 Order of pole (three term test) 22.708073418273564 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4546487134128406 Order of pole (three term test) 22.291926581726425 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.0100000000000007 y1[1] (analytic) 1.531860721374355 y1[1] (numeric) 1.5318607213743551 absolute error 2.220446049250313e-16 relative error 1.449509095877968e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.8468318446180154 y2[1] (numeric) 1.8468318446180145 absolute error 8.881784197001252e-16 relative error 4.809200265245747e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.45039659576131363 Order of pole (three term test) 22.717124173059148 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.45039659576131363 Order of pole (three term test) 22.282875826940852 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.0200000000000007 y1[1] (analytic) 1.523365951251649 y1[1] (numeric) 1.5233659512516493 absolute error 2.220446049250313e-16 relative error 1.4575920168268952e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.8521080219493633 y2[1] (numeric) 1.8521080219493622 absolute error 1.1102230246251565e-15 relative error 5.994375119959985e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.44596432547669 Order of pole (three term test) 22.72608808107046 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.44596432547668985 Order of pole (three term test) 22.273911918929546 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.0300000000000007 y1[1] (analytic) 1.514818844969955 y1[1] (numeric) 1.5148188449699551 absolute error 2.220446049250313e-16 relative error 1.465816230517223e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.8572989891886036 y2[1] (numeric) 1.8572989891886027 absolute error 8.881784197001252e-16 relative error 4.782097146825794e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4413536754079871 Order of pole (three term test) 22.734961556863798 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4413536754079873 Order of pole (three term test) 22.2650384431362 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.0400000000000007 y1[1] (analytic) 1.5062202572327776 y1[1] (numeric) 1.506220257232778 absolute error 4.440892098500626e-16 relative error 2.948368326063691e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.8624042272433388 y2[1] (numeric) 1.8624042272433377 absolute error 1.1102230246251565e-15 relative error 5.96123552763015e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4365664897537583 Order of pole (three term test) 22.74374105116718 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4365664897537583 Order of pole (three term test) 22.256258948832823 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.0500000000000007 y1[1] (analytic) 1.4975710478917263 y1[1] (numeric) 1.4975710478917266 absolute error 2.220446049250313e-16 relative error 1.4826983016106292e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.8674232255940173 y2[1] (numeric) 1.8674232255940162 absolute error 1.1102230246251565e-15 relative error 5.945213754487822e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.43160468332443686 Order of pole (three term test) 22.752423052299935 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.43160468332443674 Order of pole (three term test) 22.247576947700075 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.0600000000000007 y1[1] (analytic) 1.488872081860527 y1[1] (numeric) 1.4888720818605272 absolute error 2.220446049250313e-16 relative error 1.4913611963732943e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.8723554823449866 y2[1] (numeric) 1.8723554823449855 absolute error 1.1102230246251565e-15 relative error 5.929552561432856e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4264702407764381 Order of pole (three term test) 22.761004087577355 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.42647024077643797 Order of pole (three term test) 22.23899591242264 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.0700000000000007 y1[1] (analytic) 1.4801242290285335 y1[1] (numeric) 1.4801242290285337 absolute error 2.220446049250313e-16 relative error 1.500175462101369e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.877200504274682 y2[1] (numeric) 1.8772005042746809 absolute error 1.1102230246251565e-15 relative error 5.914248489157144e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.42116521581832295 Order of pole (three term test) 22.76948072469976 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4211652158183227 Order of pole (three term test) 22.230519275300242 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.0800000000000007 y1[1] (analytic) 1.4713283641737394 y1[1] (numeric) 1.4713283641737396 absolute error 2.220446049250313e-16 relative error 1.509143780081518e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.8819578068849478 y2[1] (numeric) 1.8819578068849467 absolute error 1.1102230246251565e-15 relative error 5.899298170041435e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4156917303893416 Order of pole (three term test) 22.77784957312531 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4156917303893416 Order of pole (three term test) 22.222150426874702 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.0900000000000007 y1[1] (analytic) 1.4624853668753002 y1[1] (numeric) 1.4624853668753004 absolute error 2.220446049250313e-16 relative error 1.5182689000126186e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.8866269144494876 y2[1] (numeric) 1.8866269144494865 absolute error 1.1102230246251565e-15 relative error 5.88469832653223e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.410051973810687 Order of pole (three term test) 22.78610728542622 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.410051973810687 Order of pole (three term test) 22.213892714573785 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.1000000000000008 y1[1] (analytic) 1.4535961214255768 y1[1] (numeric) 1.4535961214255768 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 y2[1] (analytic) 1.8912073600614356 y2[1] (numeric) 1.8912073600614345 absolute error 1.1102230246251565e-15 relative error 5.870445769569611e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.404248201909795 Order of pole (three term test) 22.794250558627667 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.404248201909795 Order of pole (three term test) 22.205749441372326 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.1100000000000008 y1[1] (analytic) 1.4446615167417063 y1[1] (numeric) 1.4446615167417063 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 y2[1] (analytic) 1.895698685680048 y2[1] (numeric) 1.8956986856800468 absolute error 1.1102230246251565e-15 relative error 5.856537397064681e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.398282736118043 Order of pole (three term test) 22.802276135528963 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.39828273611804305 Order of pole (three term test) 22.197723864471037 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.1200000000000008 y1[1] (analytic) 1.4356824462767115 y1[1] (numeric) 1.4356824462767117 absolute error 2.220446049250313e-16 relative error 1.546613636608013e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.9001004421765053 y2[1] (numeric) 1.9001004421765042 absolute error 1.1102230246251565e-15 relative error 5.842970192425359e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.39215796254221 Order of pole (three term test) 22.81018080600634 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.39215796254221 Order of pole (three term test) 22.18981919399366 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.1300000000000008 y1[1] (analytic) 1.4266598079301567 y1[1] (numeric) 1.426659807930157 absolute error 2.220446049250313e-16 relative error 1.5563949001071296e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.9044121893788262 y2[1] (numeric) 1.904412189378825 absolute error 1.1102230246251565e-15 relative error 5.829741223129247e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.38587633101006297 Order of pole (three term test) 22.817961408297002 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.385876331010063 Order of pole (three term test) 22.182038591702998 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.1400000000000008 y1[1] (analytic) 1.4175945039583575 y1[1] (numeric) 1.4175945039583577 absolute error 2.220446049250313e-16 relative error 1.566347811768562e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.9086334961158835 y2[1] (numeric) 1.9086334961158824 absolute error 1.1102230246251565e-15 relative error 5.81684763934243e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.37944035409046106 Order of pole (three term test) 22.82561483026377 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3794403540904611 Order of pole (three term test) 22.17438516973623 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.1500000000000008 y1[1] (analytic) 1.4084874408841566 y1[1] (numeric) 1.408487440884157 absolute error 4.440892098500626e-16 relative error 3.152951151423064e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.9127639402605214 y2[1] (numeric) 1.91276394026052 absolute error 1.3322676295501878e-15 relative error 6.965144007099648e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3728526060883603 Order of pole (three term test) 22.833138010639917 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3728526060883602 Order of pole (three term test) 22.166861989360083 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.1600000000000008 y1[1] (analytic) 1.3993395294062725 y1[1] (numeric) 1.399339529406273 absolute error 4.440892098500626e-16 relative error 3.1735629596520136e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.9168031087717674 y2[1] (numeric) 1.9168031087717659 absolute error 1.5543122344752192e-15 relative error 8.108877888199889e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3661157220151258 Order of pole (three term test) 22.840527940253573 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3661157220151258 Order of pole (three term test) 22.159472059746424 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.1700000000000008 y1[1] (analytic) 1.3901516843082296 y1[1] (numeric) 1.39015168430823 absolute error 4.440892098500626e-16 relative error 3.1945377965790206e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.920750597736136 y2[1] (numeric) 1.9207505977361345 absolute error 1.5543122344752192e-15 relative error 8.09221268137147e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.35923239653456307 Order of pole (three term test) 22.847781663231455 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.35923239653456296 Order of pole (three term test) 22.15221833676855 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.1800000000000008 y1[1] (analytic) 1.380924824366881 y1[1] (numeric) 1.3809248243668815 absolute error 4.440892098500626e-16 relative error 3.2158825883491974e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.9246060124080206 y2[1] (numeric) 1.9246060124080193 absolute error 1.3322676295501878e-15 relative error 6.922287579696828e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.35220538288508807 Order of pole (three term test) 22.85489627818106 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3522053828850881 Order of pole (three term test) 22.14510372181894 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.1900000000000008 y1[1] (analytic) 1.3716598722605322 y1[1] (numeric) 1.3716598722605327 absolute error 4.440892098500626e-16 relative error 3.2376044443014265e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.9283689672491668 y2[1] (numeric) 1.9283689672491657 absolute error 1.1102230246251565e-15 relative error 5.757316382294298e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3450374917784682 Order of pole (three term test) 22.861868939351282 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.34503749177846815 Order of pole (three term test) 22.138131060648718 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.2000000000000008 y1[1] (analytic) 1.3623577544766727 y1[1] (numeric) 1.3623577544766734 absolute error 6.661338147750939e-16 relative error 4.8895659938529015e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.9320390859672267 y2[1] (numeric) 1.9320390859672254 absolute error 1.3322676295501878e-15 relative error 6.895655679156313e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3377315902755756 Order of pole (three term test) 22.86869685777062 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3377315902755756 Order of pole (three term test) 22.131303142229378 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.2100000000000009 y1[1] (analytic) 1.3530194012193295 y1[1] (numeric) 1.3530194012193302 absolute error 6.661338147750939e-16 relative error 4.9233131038237874e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.9356160015533863 y2[1] (numeric) 1.935616001553385 absolute error 1.3322676295501878e-15 relative error 6.882912873633022e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3302906006396006 Order of pole (three term test) 22.875377302362747 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.33029060063960036 Order of pole (three term test) 22.124622697637257 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.2200000000000009 y1[1] (analytic) 1.3436457463160463 y1[1] (numeric) 1.343645746316047 absolute error 6.661338147750939e-16 relative error 4.957659536388016e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.9390993563190677 y2[1] (numeric) 1.9390993563190666 absolute error 1.1102230246251565e-15 relative error 5.725457135588238e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3227174991671856 Order of pole (three term test) 22.881907601038886 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.32271749916718556 Order of pole (three term test) 22.118092398961114 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.2300000000000009 y1[1] (analytic) 1.3342377271245018 y1[1] (numeric) 1.3342377271245025 absolute error 6.661338147750939e-16 relative error 4.9926171418546236e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.942488801931698 y2[1] (numeric) 1.9424888019316966 absolute error 1.3322676295501878e-15 relative error 6.858560153475898e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3150153149979464 Order of pole (three term test) 22.888285141766648 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.31501531499794627 Order of pole (three term test) 22.111714858233352 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.2400000000000009 y1[1] (analytic) 1.3247962844387753 y1[1] (numeric) 1.3247962844387762 absolute error 8.881784197001252e-16 relative error 6.704264120701282e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.9457839994495392 y2[1] (numeric) 1.945783999449538 absolute error 1.1102230246251565e-15 relative error 5.70578761537374e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.30718712890285604 Order of pole (three term test) 22.89450737361476 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.30718712890285604 Order of pole (three term test) 22.105492626385235 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.2500000000000009 y1[1] (analytic) 1.315322362395268 y1[1] (numeric) 1.3153223623952686 absolute error 6.661338147750939e-16 relative error 5.0644148827670726e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.9489846193555866 y2[1] (numeric) 1.9489846193555853 absolute error 1.3322676295501878e-15 relative error 6.835701094402118e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2992360720519784 Order of pole (three term test) 22.900571807773467 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.29923607205197833 Order of pole (three term test) 22.099428192226537 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.260000000000001 y1[1] (analytic) 1.3058169083782885 y1[1] (numeric) 1.3058169083782893 absolute error 8.881784197001252e-16 relative error 6.801707145936454e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.952090341590516 y2[1] (numeric) 1.9520903415905149 absolute error 1.1102230246251565e-15 relative error 5.687354734415487e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2911653247620412 Order of pole (three term test) 22.906476018549945 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2911653247620411 Order of pole (three term test) 22.09352398145005 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.270000000000001 y1[1] (analytic) 1.296280872925318 y1[1] (numeric) 1.2962808729253188 absolute error 8.881784197001252e-16 relative error 6.851743617074072e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.9551008555846925 y2[1] (numeric) 1.9551008555846914 absolute error 1.1102230246251565e-15 relative error 5.6785972010284515e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2829781152243516 Order of pole (three term test) 22.912217644338607 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2829781152243516 Order of pole (three term test) 22.087782355661385 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.280000000000001 y1[1] (analytic) 1.2867152096319545 y1[1] (numeric) 1.2867152096319556 absolute error 1.1102230246251565e-15 relative error 8.628350829417172e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.9580158602892253 y2[1] (numeric) 1.9580158602892241 absolute error 1.1102230246251565e-15 relative error 5.67014316452555e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.27467771821356357 Order of pole (three term test) 22.917794388565703 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2746777182135636 Order of pole (three term test) 22.082205611434294 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.290000000000001 y1[1] (analytic) 1.2771208750565568 y1[1] (numeric) 1.2771208750565577 absolute error 8.881784197001252e-16 relative error 6.954536857451277e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.9608350642060728 y2[1] (numeric) 1.960835064206072 absolute error 8.881784197001252e-16 relative error 4.5295927021773345e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2662674537778109 Order of pole (three term test) 22.923204020607884 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2662674537778109 Order of pole (three term test) 22.076795979392113 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.300000000000001 y1[1] (analytic) 1.2674988286245865 y1[1] (numeric) 1.2674988286245874 absolute error 8.881784197001252e-16 relative error 7.007331286167129e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.963558185417193 y2[1] (numeric) 1.9635581854171922 absolute error 8.881784197001252e-16 relative error 4.523310927561924e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.25775068591073214 Order of pole (three term test) 22.928444376684467 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2577506859107322 Order of pole (three term test) 22.07155562331553 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.310000000000001 y1[1] (analytic) 1.2578500325326687 y1[1] (numeric) 1.2578500325326696 absolute error 8.881784197001252e-16 relative error 7.061083569014874e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.9661849516127343 y2[1] (numeric) 1.9661849516127332 absolute error 1.1102230246251565e-15 relative error 5.6465848938296083e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24913082120591945 Order of pole (three term test) 22.933513360722902 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2491308212059195 Order of pole (three term test) 22.066486639277098 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.320000000000001 y1[1] (analytic) 1.248175451652372 y1[1] (numeric) 1.2481754516523729 absolute error 8.881784197001252e-16 relative error 7.115813874758778e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.9687151001182654 y2[1] (numeric) 1.9687151001182643 absolute error 1.1102230246251565e-15 relative error 5.639328029527801e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24041130749432432 Order of pole (three term test) 22.938408945197143 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.24041130749432432 Order of pole (three term test) 22.06159105480286 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.330000000000001 y1[1] (analytic) 1.2384760534337222 y1[1] (numeric) 1.2384760534337231 absolute error 8.881784197001252e-16 relative error 7.17154293970898e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.9711483779210448 y2[1] (numeric) 1.9711483779210437 absolute error 1.1102230246251565e-15 relative error 5.632366579100962e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23159563246517267 Order of pole (three term test) 22.94312917193868 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.23159563246517262 Order of pole (three term test) 22.056870828061324 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.340000000000001 y1[1] (analytic) 1.2287528078084584 y1[1] (numeric) 1.2287528078084593 absolute error 8.881784197001252e-16 relative error 7.22829208654453e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.9734845416953197 y2[1] (numeric) 1.9734845416953184 absolute error 1.3322676295501878e-15 relative error 6.750838941994979e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2226873222709356 Order of pole (three term test) 22.947672152919743 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.22268732227093552 Order of pole (three term test) 22.05232784708025 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.350000000000001 y1[1] (analytic) 1.2190066870930407 y1[1] (numeric) 1.2190066870930414 absolute error 6.661338147750939e-16 relative error 5.46456243290691e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.9757233578266593 y2[1] (numeric) 1.975723357826658 absolute error 1.3322676295501878e-15 relative error 6.743189142713344e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21368994011691497 Order of pole (three term test) 22.952036071008532 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.21368994011691492 Order of pole (three term test) 22.047963928991468 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.360000000000001 y1[1] (analytic) 1.2092386658914185 y1[1] (numeric) 1.2092386658914192 absolute error 6.661338147750939e-16 relative error 5.5087042249350985e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.9778646024353164 y2[1] (numeric) 1.977864602435315 absolute error 1.3322676295501878e-15 relative error 6.735888937542973e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20460708483600878 Order of pole (three term test) 22.95621918069598 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.20460708483600878 Order of pole (three term test) 22.043780819304022 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.370000000000001 y1[1] (analytic) 1.199449720997572 y1[1] (numeric) 1.1994497209975727 absolute error 6.661338147750939e-16 relative error 5.553661842707972e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.9799080613986144 y2[1] (numeric) 1.979908061398613 absolute error 1.3322676295501878e-15 relative error 6.728936840678698e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19544238944922626 Order of pole (three term test) 22.960219808793994 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.19544238944922623 Order of pole (three term test) 22.039780191206013 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.380000000000001 y1[1] (analytic) 1.1896408312978335 y1[1] (numeric) 1.1896408312978342 absolute error 6.661338147750939e-16 relative error 5.59945318998826e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.98185353037236 y2[1] (numeric) 1.9818535303723586 absolute error 1.3322676295501878e-15 relative error 6.722331439396913e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18619951971252774 Order of pole (three term test) 22.964036355104664 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1861995197125277 Order of pole (three term test) 22.035963644895332 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.390000000000001 y1[1] (analytic) 1.1798129776729984 y1[1] (numeric) 1.1798129776729993 absolute error 8.881784197001252e-16 relative error 7.52812891965235e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.9837008148112767 y2[1] (numeric) 1.9837008148112754 absolute error 1.3322676295501878e-15 relative error 6.71607139344214e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17688217265057155 Order of pole (three term test) 22.967667293060362 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.17688217265057155 Order of pole (three term test) 22.03233270693963 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.400000000000001 y1[1] (analytic) 1.1699671429002398 y1[1] (numeric) 1.1699671429002407 absolute error 8.881784197001252e-16 relative error 7.591481735960665e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.9854497299884604 y2[1] (numeric) 1.985449729988459 absolute error 1.3322676295501878e-15 relative error 6.710155434446236e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16749407507795244 Order of pole (three term test) 22.971111170334332 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1674940750779524 Order of pole (three term test) 22.02888882966567 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.410000000000001 y1[1] (analytic) 1.1601043115548302 y1[1] (numeric) 1.160104311554831 absolute error 8.881784197001252e-16 relative error 7.656022056410978e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.9871001010138505 y2[1] (numeric) 1.9871001010138492 absolute error 1.3322676295501878e-15 relative error 6.704582365379799e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1580389821085269 Order of pole (three term test) 22.974366609421555 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.15803898210852696 Order of pole (three term test) 22.025633390578452 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.420000000000001 y1[1] (analytic) 1.1502254699116847 y1[1] (numeric) 1.1502254699116856 absolute error 8.881784197001252e-16 relative error 7.721776668432845e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.98865176285172 y2[1] (numeric) 1.9886517628517186 absolute error 1.3322676295501878e-15 relative error 6.69935106003537e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14852067565341615 Order of pole (three term test) 22.97743230818982 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.14852067565341612 Order of pole (three term test) 22.022567691810185 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.430000000000001 y1[1] (analytic) 1.1403316058467357 y1[1] (numeric) 1.1403316058467365 absolute error 8.881784197001252e-16 relative error 7.788773152881456e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.990104560337178 y2[1] (numeric) 1.9901045603371765 absolute error 1.5543122344752192e-15 relative error 7.810203872965731e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1389429629082934 Order of pole (three term test) 22.980307040400472 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.13894296290829342 Order of pole (three term test) 22.019692959599524 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.440000000000001 y1[1] (analytic) 1.1304237087381444 y1[1] (numeric) 1.1304237087381455 absolute error 1.1102230246251565e-15 relative error 9.8212998899719e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.9914583481916868 y2[1] (numeric) 1.9914583481916852 absolute error 1.5543122344752192e-15 relative error 7.804894518063049e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1293096748305554 Order of pole (three term test) 22.98298965619899 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1293096748305554 Order of pole (three term test) 22.01701034380101 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.450000000000001 y1[1] (analytic) 1.1205027693673655 y1[1] (numeric) 1.1205027693673666 absolute error 1.1102230246251565e-15 relative error 9.908257748010629e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.9927129910375885 y2[1] (numeric) 1.9927129910375871 absolute error 1.3322676295501878e-15 relative error 6.685697516612704e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11962466460699138 Order of pole (three term test) 22.985479082574795 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.11962466460699135 Order of pole (three term test) 22.014520917425198 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.460000000000001 y1[1] (analytic) 1.1105697798200684 y1[1] (numeric) 1.1105697798200695 absolute error 1.1102230246251565e-15 relative error 9.996877682058231e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.993868363411645 y2[1] (numeric) 1.9938683634116434 absolute error 1.5543122344752192e-15 relative error 7.795460638212267e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10989180611255858 Order of pole (three term test) 22.98777432379054 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1098918061125586 Order of pole (three term test) 22.012225676209454 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.470000000000001 y1[1] (analytic) 1.1006257333869307 y1[1] (numeric) 1.1006257333869318 absolute error 1.1102230246251565e-15 relative error 1.008719849942716e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.994924349777581 y2[1] (numeric) 1.9949243497775795 absolute error 1.5543122344752192e-15 relative error 7.791334215999284e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10011499236088552 Order of pole (three term test) 22.98987446178034 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1001149923608855 Order of pole (three term test) 22.01012553821966 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.480000000000001 y1[1] (analytic) 1.0906716244643087 y1[1] (numeric) 1.0906716244643098 absolute error 1.1102230246251565e-15 relative error 1.0179260189064245e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.9958808445376401 y2[1] (numeric) 1.9958808445376386 absolute error 1.5543122344752192e-15 relative error 7.78760034061696e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09029813394711673 Order of pole (three term test) 22.991778656517 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.09029813394711675 Order of pole (three term test) 22.008221343482997 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.490000000000001 y1[1] (analytic) 1.0807084484547995 y1[1] (numeric) 1.0807084484548006 absolute error 1.1102230246251565e-15 relative error 1.0273103964464764e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.9967377520431435 y2[1] (numeric) 1.996737752043142 absolute error 1.5543122344752192e-15 relative error 7.784258262682635e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08044515748372806 Order of pole (three term test) 22.993486146348026 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.080445157483728 Order of pole (three term test) 22.00651385365198 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.500000000000001 y1[1] (analytic) 1.0707372016677017 y1[1] (numeric) 1.070737201667703 absolute error 1.3322676295501878e-15 relative error 1.2442526770108907e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.9974949866040546 y2[1] (numeric) 1.997494986604053 absolute error 1.5543122344752192e-15 relative error 7.781307311903239e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.07056000402993386 Order of pole (three term test) 22.994996248300225 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.07056000402993386 Order of pole (three term test) 22.005003751699775 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.5100000000000011 y1[1] (analytic) 1.0607588812193849 y1[1] (numeric) 1.060758881219386 absolute error 1.1102230246251565e-15 relative error 1.0466309019717191e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.9981524724975483 y2[1] (numeric) 1.9981524724975468 absolute error 1.5543122344752192e-15 relative error 7.77874689678931e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06064662751531502 Order of pole (three term test) 22.996308358352966 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.060646627515315 Order of pole (three term test) 22.00369164164703 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.5200000000000011 y1[1] (analytic) 1.050774484933578 y1[1] (numeric) 1.0507744849335794 absolute error 1.3322676295501878e-15 relative error 1.26789111141617e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.998710143975583 y2[1] (numeric) 1.9987101439755817 absolute error 1.3322676295501878e-15 relative error 6.665637003773887e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.05070899315830125 Order of pole (three term test) 22.997421951679733 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.05070899315830123 Order of pole (three term test) 22.00257804832027 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.5300000000000011 y1[1] (analytic) 1.04078501124159 y1[1] (numeric) 1.0407850112415913 absolute error 1.3322676295501878e-15 relative error 1.2800603536371818e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.9991679452714761 y2[1] (numeric) 1.9991679452714746 absolute error 1.5543122344752192e-15 relative error 7.774795700138899e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.040751075880134914 Order of pole (three term test) 22.998336582858027 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.04075107588013491 Order of pole (three term test) 22.001663417141977 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.5400000000000011 y1[1] (analytic) 1.030791459082465 y1[1] (numeric) 1.0307914590824665 absolute error 1.5543122344752192e-15 relative error 1.5078823371885077e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.999525830605479 y2[1] (numeric) 1.9995258306054775 absolute error 1.5543122344752192e-15 relative error 7.773404127540357e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.03077685871495698 Order of pole (three term test) 22.99905188604757 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.030776858714956973 Order of pole (three term test) 22.000948113952425 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.5500000000000012 y1[1] (analytic) 1.0207948278030914 y1[1] (numeric) 1.0207948278030927 absolute error 1.3322676295501878e-15 relative error 1.3051277232834675e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.999783764189357 y2[1] (numeric) 1.9997837641893554 absolute error 1.5543122344752192e-15 relative error 7.772401508146474e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.020790331216645575 Order of pole (three term test) 22.99956757513664 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.020790331216645565 Order of pole (three term test) 22.00043242486336 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.5600000000000012 y1[1] (analytic) 1.0107961170582662 y1[1] (numeric) 1.0107961170582678 absolute error 1.5543122344752192e-15 relative error 1.5377109273022887e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.9999417202299663 y2[1] (numeric) 1.9999417202299647 absolute error 1.5543122344752192e-15 relative error 7.771787641374341e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.010795487863048379 Order of pole (three term test) 22.999883443856465 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.010795487863048379 Order of pole (three term test) 22.000116556143528 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.5700000000000012 y1[1] (analytic) 1.000796326710732 y1[1] (numeric) 1.0007963267107336 absolute error 1.5543122344752192e-15 relative error 1.5530754789875184e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.9999996829318345 y2[1] (numeric) 1.9999996829318332 absolute error 1.3322676295501878e-15 relative error 6.66133920380024e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0007963264582437486 Order of pole (three term test) 22.99999936586377 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.0007963264582437485 Order of pole (three term test) 22.000000634136228 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.5800000000000012 y1[1] (analytic) 0.9907964567311905 y1[1] (numeric) 0.990796456731192 absolute error 1.4432899320127035e-15 relative error 1.4566967031496737e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.99995764649874 y2[1] (numeric) 1.9999576464987385 absolute error 1.5543122344752192e-15 relative error 7.771725752274316e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.009203153466526597 Order of pole (three term test) 22.999915294791297 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.009203153466526594 Order of pole (three term test) 22.000084705208696 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.5900000000000012 y1[1] (analytic) 0.9807975070983063 y1[1] (numeric) 0.9807975070983077 absolute error 1.4432899320127035e-15 relative error 1.471547308763746e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.999815615134291 y2[1] (numeric) 1.9998156151342894 absolute error 1.5543122344752192e-15 relative error 7.7722777175677e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.019198952252617373 Order of pole (three term test) 22.999631264266363 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.019198952252617363 Order of pole (three term test) 22.00036873573364 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.6000000000000012 y1[1] (analytic) 0.97080047769871 y1[1] (numeric) 0.9708004776987116 absolute error 1.5543122344752192e-15 relative error 1.6010624944888038e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.999573603041505 y2[1] (numeric) 1.9995736030415037 absolute error 1.3322676295501878e-15 relative error 6.662758637760103e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.029187071713789692 Order of pole (three term test) 22.99914738789738 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.029187071713789692 Order of pole (three term test) 22.000852612102626 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.6100000000000012 y1[1] (analytic) 0.9608063682270112 y1[1] (numeric) 0.9608063682270127 absolute error 1.5543122344752192e-15 relative error 1.6177164159969216e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.9992316344213905 y2[1] (numeric) 1.999231634421389 absolute error 1.5543122344752192e-15 relative error 7.774548019919973e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.039163516735432294 Order of pole (three term test) 22.998463859228448 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.03916351673543228 Order of pole (three term test) 22.001536140771556 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.6200000000000012 y1[1] (analytic) 0.9508161780858283 y1[1] (numeric) 0.9508161780858299 absolute error 1.5543122344752192e-15 relative error 1.6347137020789254e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.998789743470524 y2[1] (numeric) 1.9987897434705224 absolute error 1.5543122344752192e-15 relative error 7.776266811217708e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.049124296872554034 Order of pole (three term test) 22.997580951661913 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.04912429687255402 Order of pole (three term test) 22.00241904833809 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.6300000000000012 y1[1] (analytic) 0.9408309062858505 y1[1] (numeric) 0.9408309062858521 absolute error 1.5543122344752192e-15 relative error 1.652063324121897e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.9982479743776325 y2[1] (numeric) 1.998247974377631 absolute error 1.5543122344752192e-15 relative error 7.778375128638976e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0590654279459086 Order of pole (three term test) 22.99649901834904 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.059065427945908605 Order of pole (three term test) 22.003500981650955 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.6400000000000012 y1[1] (analytic) 0.9308515513459368 y1[1] (numeric) 0.9308515513459383 absolute error 1.5543122344752192e-15 relative error 1.669774554522478e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.9976063813191736 y2[1] (numeric) 1.9976063813191722 absolute error 1.3322676295501878e-15 relative error 6.669320052283718e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0689829336356132 Order of pole (three term test) 22.99521849204873 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.06898293363561322 Order of pole (three term test) 22.004781507951265 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.6500000000000012 y1[1] (analytic) 0.9208791111932648 y1[1] (numeric) 0.9208791111932665 absolute error 1.6653345369377348e-15 relative error 1.8084181915906563e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.9968650284539189 y2[1] (numeric) 1.9968650284539173 absolute error 1.5543122344752192e-15 relative error 7.783762108742282e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.07887284707162388 Order of pole (three term test) 22.99373988495443 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.0788728470716239 Order of pole (three term test) 22.006260115045567 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.6600000000000013 y1[1] (analytic) 0.9109145830635397 y1[1] (numeric) 0.9109145830635414 absolute error 1.7763568394002505e-15 relative error 1.950080581020123e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.9960239899165366 y2[1] (numeric) 1.9960239899165353 absolute error 1.3322676295501878e-15 relative error 6.674607300716342e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0887312124204299 Order of pole (three term test) 22.992063788489265 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.08873121242042989 Order of pole (three term test) 22.007936211510746 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.6700000000000013 y1[1] (analytic) 0.9009589634012707 y1[1] (numeric) 0.9009589634012725 absolute error 1.7763568394002505e-15 relative error 1.9716290214753028e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.99508334981018 y2[1] (numeric) 1.9950833498101788 absolute error 1.3322676295501878e-15 relative error 6.677754238573266e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09855408646733461 Order of pole (three term test) 22.99019087306945 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.09855408646733459 Order of pole (three term test) 22.00980912693055 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.6800000000000013 y1[1] (analytic) 0.8910132477601276 y1[1] (numeric) 0.8910132477601294 absolute error 1.7763568394002505e-15 relative error 1.993636844194789e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.9940432021980758 y2[1] (numeric) 1.9940432021980745 absolute error 1.3322676295501878e-15 relative error 6.681237538292055e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10833754019368956 Order of pole (three term test) 22.988121887836208 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1083375401936895 Order of pole (three term test) 22.011878112163792 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.6900000000000013 y1[1] (analytic) 0.8810784307033864 y1[1] (numeric) 0.8810784307033883 absolute error 1.887379141862766e-15 relative error 2.1421238746657607e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.9929036510941183 y2[1] (numeric) 1.9929036510941172 absolute error 1.1102230246251565e-15 relative error 5.5708815828383684e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1180776603484481 Order of pole (three term test) 22.985857660356032 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.11807766034844809 Order of pole (three term test) 22.014142339643968 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.7000000000000013 y1[1] (analytic) 0.871155505704474 y1[1] (numeric) 0.8711555057044759 absolute error 1.887379141862766e-15 relative error 2.166523806029908e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.9916648104524683 y2[1] (numeric) 1.9916648104524672 absolute error 1.1102230246251565e-15 relative error 5.574346741472703e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.12777055101341525 Order of pole (three term test) 22.98339909628973 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.12777055101341525 Order of pole (three term test) 22.016600903710266 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.7100000000000013 y1[1] (analytic) 0.8612454650476211 y1[1] (numeric) 0.861245465047623 absolute error 1.887379141862766e-15 relative error 2.1914532133512094e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.990326804156158 y2[1] (numeric) 1.9903268041561566 absolute error 1.3322676295501878e-15 relative error 6.693712945874894e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13741233516156157 Order of pole (three term test) 22.98074717903015 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1374123351615616 Order of pole (three term test) 22.019252820969854 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.7200000000000013 y1[1] (analytic) 0.851349299728635 y1[1] (numeric) 0.8513492997286369 absolute error 1.887379141862766e-15 relative error 2.2169268741565446e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.9888897660047014 y2[1] (numeric) 1.9888897660047 absolute error 1.3322676295501878e-15 relative error 6.698549373233783e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14699915620778348 Order of pole (three term test) 22.977902969308833 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.14699915620778342 Order of pole (three term test) 22.022097030691164 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.7300000000000013 y1[1] (analytic) 0.841467999355801 y1[1] (numeric) 0.8414679993558029 absolute error 1.887379141862766e-15 relative error 2.2429600927280405e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.9873538397007162 y2[1] (numeric) 1.987353839700715 absolute error 1.1102230246251565e-15 relative error 5.586438622285549e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15652717955148465 Order of pole (three term test) 22.97486760477174 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1565271795514847 Order of pole (three term test) 22.02513239522826 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.7400000000000013 y1[1] (analytic) 0.8316025520509217 y1[1] (numeric) 0.8316025520509236 absolute error 1.887379141862766e-15 relative error 2.2695687227126209e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.9857191788355533 y2[1] (numeric) 1.9857191788355522 absolute error 1.1102230246251565e-15 relative error 5.591037425927482e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1659925941103666 Order of pole (three term test) 22.971642299524234 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.16599259411036665 Order of pole (three term test) 22.028357700475762 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.7500000000000013 y1[1] (analytic) 0.8217539443505066 y1[1] (numeric) 0.8217539443505085 absolute error 1.887379141862766e-15 relative error 2.2967691908731907e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.9839859468739367 y2[1] (numeric) 1.9839859468739356 absolute error 1.1102230246251565e-15 relative error 5.5959218177652774e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17539161384480956 Order of pole (three term test) 22.968228343645404 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1753916138448095 Order of pole (three term test) 22.0317716563546 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.7600000000000013 y1[1] (analytic) 0.8119231611071186 y1[1] (numeric) 0.8119231611071205 absolute error 1.887379141862766e-15 relative error 2.324578522047803e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.9821543171376184 y2[1] (numeric) 1.9821543171376172 absolute error 1.1102230246251565e-15 relative error 5.601092785895717e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18472047927223817 Order of pole (three term test) 22.96462710267206 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.18472047927223814 Order of pole (three term test) 22.03537289732793 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.7700000000000014 y1[1] (analytic) 0.8021111853908897 y1[1] (numeric) 0.8021111853908915 absolute error 1.887379141862766e-15 relative error 2.3530143653875084e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.9802244727880454 y2[1] (numeric) 1.9802244727880443 absolute error 1.1102230246251565e-15 relative error 5.606551377794178e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19397545897086496 Order of pole (three term test) 22.960840017052607 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.19397545897086488 Order of pole (three term test) 22.0391599829474 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.7800000000000014 y1[1] (analytic) 0.7923189983912149 y1[1] (numeric) 0.7923189983912168 absolute error 1.887379141862766e-15 relative error 2.3820950219482875e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.9781966068080443 y2[1] (numeric) 1.9781966068080434 absolute error 8.881784197001252e-16 relative error 4.489838960614041e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2031528510722081 Order of pole (three term test) 22.956868601570772 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2031528510722081 Order of pole (three term test) 22.043131398429225 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.7900000000000014 y1[1] (analytic) 0.7825475793186341 y1[1] (numeric) 0.7825475793186359 absolute error 1.887379141862766e-15 relative error 2.4118394737175103e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.9760709219825239 y2[1] (numeric) 1.976070921982523 absolute error 8.881784197001252e-16 relative error 4.49466873794715e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21224898474179113 Order of pole (three term test) 22.952714444739815 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.21224898474179107 Order of pole (three term test) 22.047285555260185 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8000000000000014 y1[1] (analytic) 0.7727979053069116 y1[1] (numeric) 0.7727979053069135 absolute error 1.887379141862766e-15 relative error 2.4422674141607643e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.973847630878195 y2[1] (numeric) 1.973847630878194 absolute error 8.881784197001252e-16 relative error 4.499731416983595e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22126022164742604 Order of pole (three term test) 22.948379208167076 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.221260221647426 Order of pole (three term test) 22.051620791832928 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8100000000000014 y1[1] (analytic) 0.763070951315324 y1[1] (numeric) 0.763070951315326 absolute error 1.9984014443252818e-15 relative error 2.61889335569725e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.971526955822315 y2[1] (numeric) 1.9715269558223143 absolute error 6.661338147750939e-16 relative error 3.378771022165672e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23018295741449865 Order of pole (three term test) 22.943864625889375 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.23018295741449865 Order of pole (three term test) 22.056135374110625 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8200000000000014 y1[1] (analytic) 0.7533676900311647 y1[1] (numeric) 0.7533676900311667 absolute error 1.9984014443252818e-15 relative error 2.652624303867629e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.969109128880456 y2[1] (numeric) 1.9691091288804554 absolute error 6.661338147750939e-16 relative error 3.382919742766246e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23901362306767102 Order of pole (three term test) 22.939172503679437 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.239013623067671 Order of pole (three term test) 22.060827496320563 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8300000000000014 y1[1] (analytic) 0.743689091772476 y1[1] (numeric) 0.743689091772478 absolute error 1.9984014443252818e-15 relative error 2.687146371291233e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.966594391833297 y2[1] (numeric) 1.9665943918332967 absolute error 4.440892098500626e-16 relative error 2.258163715376378e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24774868645842218 Order of pole (three term test) 22.934304718323588 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.24774868645842213 Order of pole (three term test) 22.065695281676422 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8400000000000014 y1[1] (analytic) 0.7340361243910183 y1[1] (numeric) 0.7340361243910204 absolute error 2.1094237467877974e-15 relative error 2.873732881386251e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.9639829961524478 y2[1] (numeric) 1.963982996152447 absolute error 6.661338147750939e-16 relative error 3.391749399460623e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2563846536778614 Order of pole (three term test) 22.929263216871043 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2563846536778615 Order of pole (three term test) 22.07073678312895 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8500000000000014 y1[1] (analytic) 0.7244097531754858 y1[1] (numeric) 0.7244097531754878 absolute error 1.9984014443252818e-15 relative error 2.75866170432575e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.9612752029752996 y2[1] (numeric) 1.961275202975299 absolute error 6.661338147750939e-16 relative error 3.3964321466184533e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2649180704542464 Order of pole (three term test) 22.924050015855205 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2649180704542464 Order of pole (three term test) 22.075949984144795 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8600000000000014 y1[1] (analytic) 0.7148109407549779 y1[1] (numeric) 0.71481094075498 absolute error 2.1094237467877974e-15 relative error 2.95102330772923e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.958471283078914 y2[1] (numeric) 1.958471283078913 absolute error 8.881784197001252e-16 relative error 4.535059703830936e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2733455235346432 Order of pole (three term test) 22.91866720048694 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2733455235346432 Order of pole (three term test) 22.08133279951306 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8700000000000014 y1[1] (analytic) 0.7052406470027377 y1[1] (numeric) 0.7052406470027398 absolute error 2.1094237467877974e-15 relative error 2.9910694395633847e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.9555715168529435 y2[1] (numeric) 1.9555715168529428 absolute error 6.661338147750939e-16 relative error 3.40633829565634e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2816636420501848 Order of pole (three term test) 22.91311692382064 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2816636420501848 Order of pole (three term test) 22.08688307617936 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8800000000000014 y1[1] (analytic) 0.6956998289401652 y1[1] (numeric) 0.6956998289401675 absolute error 2.220446049250313e-15 relative error 3.19167255313683e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.952576194271595 y2[1] (numeric) 1.9525761942715942 absolute error 6.661338147750939e-16 relative error 3.4115637419393717e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2898690988643711 Order of pole (three term test) 22.907401405892955 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2898690988643712 Order of pole (three term test) 22.09259859410704 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8900000000000015 y1[1] (analytic) 0.6861894406411162 y1[1] (numeric) 0.6861894406411184 absolute error 2.220446049250313e-15 relative error 3.235908216797565e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.94948561486463 y2[1] (numeric) 1.9494856148646293 absolute error 6.661338147750939e-16 relative error 3.4169721986963696e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.29795861190388157 Order of pole (three term test) 22.901522932834865 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.29795861190388157 Order of pole (three term test) 22.098477067165135 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9000000000000015 y1[1] (analytic) 0.6767104331364953 y1[1] (numeric) 0.6767104331364974 absolute error 2.1094237467877974e-15 relative error 3.117173377999801e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.9463000876874141 y2[1] (numeric) 1.9463000876874135 absolute error 6.661338147750939e-16 relative error 3.422564788385698e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.305928945471359 Order of pole (three term test) 22.89548385595721 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.30592894547135896 Order of pole (three term test) 22.104516144042794 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9100000000000015 y1[1] (analytic) 0.6672637543191533 y1[1] (numeric) 0.6672637543191555 absolute error 2.220446049250313e-15 relative error 3.3276886911322777e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.94301993129001 y2[1] (numeric) 1.9430199312900096 absolute error 4.440892098500626e-16 relative error 2.2855617829675212e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.31377691153964643 Order of pole (three term test) 22.88928659081022 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.31377691153964643 Order of pole (three term test) 22.110713409189785 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9200000000000015 y1[1] (analytic) 0.6578503488491003 y1[1] (numeric) 0.6578503488491025 absolute error 2.220446049250313e-15 relative error 3.375305725891841e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.9396454736853244 y2[1] (numeric) 1.939645473685324 absolute error 4.440892098500626e-16 relative error 2.289538041229223e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.32149937102695414 Order of pole (three term test) 22.882933616217315 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.32149937102695403 Order of pole (three term test) 22.117066383782678 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9300000000000015 y1[1] (analytic) 0.6484711580590388 y1[1] (numeric) 0.6484711580590409 absolute error 2.1094237467877974e-15 relative error 3.252918376665488e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.9361770523163055 y2[1] (numeric) 1.936177052316305 absolute error 4.440892098500626e-16 relative error 2.293639465041617e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3290932350524523 Order of pole (three term test) 22.87642747328365 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.32909323505245225 Order of pole (three term test) 22.123572526716348 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9400000000000015 y1[1] (analytic) 0.6391271198602314 y1[1] (numeric) 0.6391271198602336 absolute error 2.220446049250313e-15 relative error 3.474185307198191e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.9326150140222 y2[1] (numeric) 1.9326150140221996 absolute error 4.440892098500626e-16 relative error 2.2978669141445537e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3365554661717804 Order of pole (three term test) 22.869770764379627 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3365554661717805 Order of pole (three term test) 22.13022923562037 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9500000000000015 y1[1] (analytic) 0.6298191686487117 y1[1] (numeric) 0.6298191686487139 absolute error 2.220446049250313e-15 relative error 3.5255294849382243e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.9289597150038689 y2[1] (numeric) 1.9289597150038684 absolute error 4.440892098500626e-16 relative error 2.3022212770740624e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3438830795919867 Order of pole (three term test) 22.86296615210007 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.34388307959198666 Order of pole (three term test) 22.137033847899932 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9600000000000015 y1[1] (analytic) 0.6205482352118441 y1[1] (numeric) 0.6205482352118463 absolute error 2.220446049250313e-15 relative error 3.578200570487953e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.9252115207881677 y2[1] (numeric) 1.9252115207881673 absolute error 4.440892098500626e-16 relative error 2.3067034715658448e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3510731443654024 Order of pole (three term test) 22.856016358199156 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.35107314436540243 Order of pole (three term test) 22.143983641800848 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9700000000000015 y1[1] (analytic) 0.6113152466352465 y1[1] (numeric) 0.6113152466352488 absolute error 2.3314683517128287e-15 relative error 3.8138560497967524e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.9213708061913948 y2[1] (numeric) 1.9213708061913943 absolute error 4.440892098500626e-16 relative error 2.3113144449735396e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3581227845619851 Order of pole (three term test) 22.848924162501785 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.358122784561985 Order of pole (three term test) 22.15107583749822 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9800000000000015 y1[1] (analytic) 0.6021211262100826 y1[1] (numeric) 0.602121126210085 absolute error 2.3314683517128287e-15 relative error 3.87209192673198e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.9174379552818093 y2[1] (numeric) 1.9174379552818088 absolute error 4.440892098500626e-16 relative error 2.3160551747020885e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3650291804196496 Order of pole (three term test) 22.841692401791676 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.36502918041964955 Order of pole (three term test) 22.158307598208335 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9900000000000015 y1[1] (analytic) 0.592966793340733 y1[1] (numeric) 0.5929667933407354 absolute error 2.4424906541753444e-15 relative error 4.119101915327374e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.9134133613412245 y2[1] (numeric) 1.913413361341224 absolute error 4.440892098500626e-16 relative error 2.3209266686565534e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.37178956947213704 Order of pole (three term test) 22.834323968676678 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.37178956947213704 Order of pole (three term test) 22.16567603132332 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.0000000000000013 y1[1] (analytic) 0.5838531634528564 y1[1] (numeric) 0.5838531634528586 absolute error 2.220446049250313e-15 relative error 3.8030898661553697e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.909297426825681 y2[1] (numeric) 1.9092974268256806 absolute error 4.440892098500626e-16 relative error 2.3259299657067416e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3784012476539639 Order of pole (three term test) 22.82682181043181 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.37840124765396377 Order of pole (three term test) 22.173178189568194 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.010000000000001 y1[1] (analytic) 0.5747811479018465 y1[1] (numeric) 0.5747811479018486 absolute error 2.1094237467877974e-15 relative error 3.6699598699225545e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.9050905633252004 y2[1] (numeric) 1.9050905633251998 absolute error 6.661338147750939e-16 relative error 3.4965992042520256e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3848615703820117 Order of pole (three term test) 22.819188927820328 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3848615703820117 Order of pole (three term test) 22.18081107217967 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.020000000000001 y1[1] (analytic) 0.5657516538816987 y1[1] (numeric) 0.5657516538817006 absolute error 1.887379141862766e-15 relative error 3.336055898225312e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.9007931915226268 y2[1] (numeric) 1.9007931915226262 absolute error 6.661338147750939e-16 relative error 3.504504423448027e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.39116795361332624 Order of pole (three term test) 22.811428373893524 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3911679536133262 Order of pole (three term test) 22.188571626106476 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.0300000000000007 y1[1] (analytic) 0.5567655843342902 y1[1] (numeric) 0.5567655843342919 absolute error 1.6653345369377348e-15 relative error 2.9910874231368503e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.8964057411515596 y2[1] (numeric) 1.8964057411515587 absolute error 8.881784197001252e-16 relative error 4.683483077628705e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3973178748786984 Order of pole (three term test) 22.803543252769472 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.39731787487869824 Order of pole (three term test) 22.196456747230524 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.0400000000000005 y1[1] (analytic) 0.5478238378590876 y1[1] (numeric) 0.5478238378590891 absolute error 1.4432899320127035e-15 relative error 2.634587676310554e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.8919286509533793 y2[1] (numeric) 1.8919286509533784 absolute error 8.881784197001252e-16 relative error 4.694566146839391e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.40330887429161993 Order of pole (three term test) 22.795536718391514 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.40330887429162 Order of pole (three term test) 22.204463281608486 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.0500000000000003 y1[1] (analytic) 0.5389273086232869 y1[1] (numeric) 0.5389273086232881 absolute error 1.2212453270876722e-15 relative error 2.2660668842471468e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.8873623686333754 y2[1] (numeric) 1.8873623686333743 absolute error 1.1102230246251565e-15 relative error 5.882405218395133e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4091385555322052 Order of pole (three term test) 22.787411973266632 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4091385555322052 Order of pole (three term test) 22.212588026733368 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.06 y1[1] (analytic) 0.5300768862723978 y1[1] (numeric) 0.5300768862723988 absolute error 9.992007221626409e-16 relative error 1.8850109258474027e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.882707350815974 y2[1] (numeric) 1.8827073508159728 absolute error 1.1102230246251565e-15 relative error 5.896949539948313e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4148045868056852 Order of pole (three term test) 22.77917226718455 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.41480458680568527 Order of pole (three term test) 22.220827732815444 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.07 y1[1] (analytic) 0.5212734558412802 y1[1] (numeric) 0.521273455841281 absolute error 8.881784197001252e-16 relative error 1.7038627418054489e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.8779640629990781 y2[1] (numeric) 1.8779640629990768 absolute error 1.3322676295501878e-15 relative error 7.094212587979868e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.42030470177509716 Order of pole (three term test) 22.77082089591785 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4203047017750973 Order of pole (three term test) 22.229179104082156 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.0799999999999996 y1[1] (analytic) 0.512517897665641 y1[1] (numeric) 0.5125178976656417 absolute error 6.661338147750939e-16 relative error 1.2997279076674697e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.8731329795075167 y2[1] (numeric) 1.8731329795075153 absolute error 1.3322676295501878e-15 relative error 7.112509598226534e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.42563670046778707 Order of pole (three term test) 22.762361199903673 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.42563670046778707 Order of pole (three term test) 22.237638800096327 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.0899999999999994 y1[1] (analytic) 0.5038110872940016 y1[1] (numeric) 0.503811087294002 absolute error 4.440892098500626e-16 relative error 8.814597793694684e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.8682145834456128 y2[1] (numeric) 1.8682145834456114 absolute error 1.3322676295501878e-15 relative error 7.131234502479049e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.43079845015537016 Order of pole (three term test) 22.75379656290764 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.43079845015537005 Order of pole (three term test) 22.246203437092362 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.099999999999999 y1[1] (analytic) 0.4951538954001432 y1[1] (numeric) 0.4951538954001436 absolute error 3.885780586188048e-16 relative error 7.847621966192703e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.8632093666488743 y2[1] (numeric) 1.8632093666488727 absolute error 1.5543122344752192e-15 relative error 8.34212333995921e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.43578788620679404 Order of pole (three term test) 22.745130410670352 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.43578788620679404 Order of pole (three term test) 22.25486958932965 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.109999999999999 y1[1] (analytic) 0.4865471876960412 y1[1] (numeric) 0.48654718769604144 absolute error 2.220446049250313e-16 relative error 4.56368078040867e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.8581178296348093 y2[1] (numeric) 1.8581178296348078 absolute error 1.5543122344752192e-15 relative error 8.364982078562265e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4406030129141624 Order of pole (three term test) 22.736366209537156 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4406030129141624 Order of pole (three term test) 22.26363379046284 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.1199999999999988 y1[1] (analytic) 0.4779918248452938 y1[1] (numeric) 0.4779918248452938 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 y2[1] (analytic) 1.852940481552877 y2[1] (numeric) 1.8529404815528752 absolute error 1.7763568394002505e-15 relative error 9.586691300044107e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.44524190429099414 Order of pole (three term test) 22.727507465071657 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.445241904290994 Order of pole (three term test) 22.272492534928343 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.1299999999999986 y1[1] (analytic) 0.46948866237705633 y1[1] (numeric) 0.4694886623770562 absolute error 1.1102230246251565e-16 relative error 2.364749382879693e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.8476778401335705 y2[1] (numeric) 1.8476778401335687 absolute error 1.7763568394002505e-15 relative error 9.613996557277733e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4497027048425886 Order of pole (three term test) 22.718557720653514 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4497027048425886 Order of pole (three term test) 22.281442279346486 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.1399999999999983 y1[1] (analytic) 0.4610385506004899 y1[1] (numeric) 0.46103855060048965 absolute error 2.7755575615628914e-16 relative error 6.020228802879509e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.8423304316366464 y2[1] (numeric) 1.8423304316366447 absolute error 1.7763568394002505e-15 relative error 9.641901414081361e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.45398363030820255 Order of pole (three term test) 22.709520556061175 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.45398363030820255 Order of pole (three term test) 22.29047944393882 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.149999999999998 y1[1] (analytic) 0.45264233451973046 y1[1] (numeric) 0.45264233451973 absolute error 4.440892098500626e-16 relative error 9.811040107886882e-14% Correct digits 16 h 0.01 y2[1] (analytic) 1.8368987907984988 y2[1] (numeric) 1.8368987907984966 absolute error 2.220446049250313e-15 relative error 1.2088015193722713e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.45808296837472723 Order of pole (three term test) 22.700399586039985 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4580829683747273 Order of pole (three term test) 22.299600413960007 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.159999999999998 y1[1] (analytic) 0.4443008537493891 y1[1] (numeric) 0.4443008537493885 absolute error 6.106226635438361e-16 relative error 1.3743450150745422e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.8313834607786843 y2[1] (numeric) 1.831383460778682 absolute error 2.220446049250313e-15 relative error 1.2124419035138625e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4619990793615938 Order of pole (three term test) 22.69119845885634 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4619990793615938 Order of pole (three term test) 22.308801541143662 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.1699999999999977 y1[1] (analytic) 0.4360149424305918 y1[1] (numeric) 0.43601494243059097 absolute error 8.326672684688674e-16 relative error 1.9097218637212595e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.8257849931056094 y2[1] (numeric) 1.825784993105607 absolute error 2.4424906541753444e-15 relative error 1.33777562166328e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4657303968766212 Order of pole (three term test) 22.681920854838427 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.46573039687662127 Order of pole (three term test) 22.318079145161573 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.1799999999999975 y1[1] (analytic) 0.42778542914756534 y1[1] (numeric) 0.4277854291475644 absolute error 9.43689570931383e-16 relative error 2.20598811140399e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.8201039476213756 y2[1] (numeric) 1.8201039476213732 absolute error 2.4424906541753444e-15 relative error 1.3419511876601017e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46927542844255377 Order of pole (three term test) 22.67257048490416 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4692754284425538 Order of pole (three term test) 22.32742951509584 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.1899999999999973 y1[1] (analytic) 0.4196131368447803 y1[1] (numeric) 0.4196131368447792 absolute error 1.1102230246251565e-15 relative error 2.645825230766883e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.8143408924257975 y2[1] (numeric) 1.8143408924257949 absolute error 2.6645352591003757e-15 relative error 1.4685968167414543e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47263275609403166 Order of pole (three term test) 22.66315108907685 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.47263275609403144 Order of pole (three term test) 22.336848910923155 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.199999999999997 y1[1] (analytic) 0.4114988827446566 y1[1] (numeric) 0.4114988827446554 absolute error 1.2212453270876722e-15 relative error 2.967797431045468e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.8084964038195919 y2[1] (numeric) 1.8084964038195892 absolute error 2.6645352591003757e-15 relative error 1.4733428573442596e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47580103694475784 Order of pole (three term test) 22.653666434989212 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.47580103694475795 Order of pole (three term test) 22.346333565010795 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.209999999999997 y1[1] (analytic) 0.4034434782658426 y1[1] (numeric) 0.4034434782658412 absolute error 1.3877787807814457e-15 relative error 3.439834463917127e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.8025710662467491 y2[1] (numeric) 1.8025710662467462 absolute error 2.886579864025407e-15 relative error 1.6013681335936138e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4787790037246356 Order of pole (three term test) 22.64412031637644 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.47877900372463544 Order of pole (three term test) 22.355879683623556 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.2199999999999966 y1[1] (analytic) 0.39544772894207314 y1[1] (numeric) 0.39544772894207164 absolute error 1.4988010832439613e-15 relative error 3.7901370359456837e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.7965654722360886 y2[1] (numeric) 1.7965654722360855 absolute error 3.1086244689504383e-15 relative error 1.7303151580005042e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4815654652866582 Order of pole (three term test) 22.6345165515587 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4815654652866582 Order of pole (three term test) 22.3654834484413 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.2299999999999964 y1[1] (analytic) 0.38751243434161764 y1[1] (numeric) 0.387512434341616 absolute error 1.6653345369377348e-15 relative error 4.2974996138307993e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.790480222342007 y2[1] (numeric) 1.7904802223420038 absolute error 3.3306690738754696e-15 relative error 1.8602099215141537e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4841593070833534 Order of pole (three term test) 22.624858981913864 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4841593070833534 Order of pole (three term test) 22.375141018086133 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.239999999999996 y1[1] (analytic) 0.3796383879873233 y1[1] (numeric) 0.3796383879873215 absolute error 1.7763568394002505e-15 relative error 4.679075919634254e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.7843159250844223 y2[1] (numeric) 1.784315925084419 absolute error 3.3306690738754696e-15 relative error 1.8666364106557441e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4865594916125866 Order of pole (three term test) 22.615151470341022 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.48655949161258677 Order of pole (three term test) 22.384848529658974 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.249999999999996 y1[1] (analytic) 0.371826377277264 y1[1] (numeric) 0.3718263772772621 absolute error 1.887379141862766e-15 relative error 5.075968939275609e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.7780731968879238 y2[1] (numeric) 1.7780731968879202 absolute error 3.552713678800501e-15 relative error 1.9980694186373458e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48876505883254834 Order of pole (three term test) 22.60539789971539 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.48876505883254834 Order of pole (three term test) 22.39460210028461 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.259999999999996 y1[1] (analytic) 0.3640771834060007 y1[1] (numeric) 0.36407718340599865 absolute error 2.0539125955565396e-15 relative error 5.641420800781461e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.7717526620201285 y2[1] (numeric) 1.7717526620201247 absolute error 3.774758283725532e-15 relative error 2.1305221460322818e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4907751265457578 Order of pole (three term test) 22.595602171335152 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4907751265457576 Order of pole (three term test) 22.404397828664848 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.2699999999999956 y1[1] (analytic) 0.35639158128646287 y1[1] (numeric) 0.3563915812864607 absolute error 2.1649348980190553e-15 relative error 6.074596067068456e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.7653549525292562 y2[1] (numeric) 1.7653549525292525 absolute error 3.774758283725532e-15 relative error 2.138243234493645e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4925888907519296 Order of pole (three term test) 22.585768203361052 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4925888907519297 Order of pole (three term test) 22.414231796638948 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.2799999999999954 y1[1] (analytic) 0.34877033947245784 y1[1] (numeric) 0.34877033947245556 absolute error 2.275957200481571e-15 relative error 6.525661568366543e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.758880708180925 y2[1] (numeric) 1.7588807081809208 absolute error 4.218847493575595e-15 relative error 2.3985978548476006e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4942056259695652 Order of pole (three term test) 22.57589992924918 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49420562596956524 Order of pole (three term test) 22.424100070750825 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.289999999999995 y1[1] (analytic) 0.3412142200818159 y1[1] (numeric) 0.34121422008181357 absolute error 2.3314683517128287e-15 relative error 6.832858112284395e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.7523305763941739 y2[1] (numeric) 1.7523305763941697 absolute error 4.218847493575595e-15 relative error 2.4075637042508557e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49562468552613337 Order of pole (three term test) 22.566001296177582 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4956246855261333 Order of pole (three term test) 22.43399870382241 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.299999999999995 y1[1] (analytic) 0.33372397872017956 y1[1] (numeric) 0.33372397872017706 absolute error 2.4980018054066022e-15 relative error 7.485233200761769e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.7457052121767236 y2[1] (numeric) 1.7457052121767191 absolute error 4.440892098500626e-15 relative error 2.54389576632086e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49684550181673215 Order of pole (three term test) 22.556076263467528 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49684550181673204 Order of pole (three term test) 22.44392373653247 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.3099999999999947 y1[1] (analytic) 0.32630036440544297 y1[1] (numeric) 0.3263003644054404 absolute error 2.55351295663786e-15 relative error 7.825651562757695e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.7390052780594745 y2[1] (numeric) 1.7390052780594698 absolute error 4.6629367034256575e-15 relative error 2.681381570404977e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49786758653112273 Order of pole (three term test) 22.54612880099976 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49786758653112256 Order of pole (three term test) 22.453871199000243 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.3199999999999945 y1[1] (analytic) 0.3189441194928514 y1[1] (numeric) 0.3189441194928487 absolute error 2.7200464103316335e-15 relative error 8.528285188818472e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.732231444030255 y2[1] (numeric) 1.7322314440302502 absolute error 4.884981308350689e-15 relative error 2.820051168789064e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49869053084904647 Order of pole (three term test) 22.53616288762662 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4986905308490466 Order of pole (three term test) 22.463837112373373 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.3299999999999943 y1[1] (analytic) 0.31165597960076585 y1[1] (numeric) 0.311655979600763 absolute error 2.831068712794149e-15 relative error 9.083954418011725e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.7253843874668235 y2[1] (numeric) 1.7253843874668184 absolute error 5.10702591327572e-15 relative error 2.9599351601724865e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49931400560374933 Order of pole (three term test) 22.526182509580615 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49931400560374933 Order of pole (three term test) 22.473817490419385 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.339999999999994 y1[1] (analytic) 0.30443667353710213 y1[1] (numeric) 0.3044366735370992 absolute error 2.942091015256665e-15 relative error 9.664049278537752e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.7184647930691304 y2[1] (numeric) 1.718464793069125 absolute error 5.329070518200751e-15 relative error 3.101064705947906e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49973776141364185 Order of pole (three term test) 22.51619165887986 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49973776141364196 Order of pole (three term test) 22.483808341120138 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.349999999999994 y1[1] (analytic) 0.29728692322645045 y1[1] (numeric) 0.29728692322644745 absolute error 2.9976021664879227e-15 relative error 1.0083195500007172e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.7114733527908488 y2[1] (numeric) 1.7114733527908434 absolute error 5.329070518200751e-15 relative error 3.113732685063892e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49996162878205047 Order of pole (three term test) 22.506194331731447 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49996162878205036 Order of pole (three term test) 22.493805668268553 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.3599999999999937 y1[1] (analytic) 0.29020744363788387 y1[1] (numeric) 0.2902074436378808 absolute error 3.0531133177191805e-15 relative error 1.05204514379335e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.7044107657701806 y2[1] (numeric) 1.7044107657701753 absolute error 5.329070518200751e-15 relative error 3.1266350959668325e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49998551816501235 Order of pole (three term test) 22.49619452693293 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49998551816501213 Order of pole (three term test) 22.503805473067075 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.3699999999999934 y1[1] (analytic) 0.2831989427134617 y1[1] (numeric) 0.2831989427134585 absolute error 3.164135620181696e-15 relative error 1.1172836981185843e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.6972777382599427 y2[1] (numeric) 1.6972777382599369 absolute error 5.773159728050814e-15 relative error 3.401423112972356e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49980942000709266 Order of pole (three term test) 22.486196244272897 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49980942000709266 Order of pole (three term test) 22.513803755727103 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.3799999999999932 y1[1] (analytic) 0.276262121297436 y1[1] (numeric) 0.27626212129743266 absolute error 3.3306690738754696e-15 relative error 1.2056191627840012e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.6900749835569413 y2[1] (numeric) 1.6900749835569355 absolute error 5.773159728050814e-15 relative error 3.415919284185007e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49943340474520714 Order of pole (three term test) 22.47620348293111 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49943340474520714 Order of pole (three term test) 22.5237965170689 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.389999999999993 y1[1] (analytic) 0.2693976730661676 y1[1] (numeric) 0.2693976730661642 absolute error 3.3861802251067274e-15 relative error 1.2569448676251326e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.6828032219306448 y2[1] (numeric) 1.682803221930639 absolute error 5.773159728050814e-15 relative error 3.4306802202502255e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49885762278044665 Order of pole (three term test) 22.46622023987886 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49885762278044665 Order of pole (three term test) 22.533779760121135 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.399999999999993 y1[1] (analytic) 0.26260628445875933 y1[1] (numeric) 0.26260628445875583 absolute error 3.497202527569243e-15 relative error 1.331728421799615e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.6754631805511564 y2[1] (numeric) 1.6754631805511502 absolute error 6.217248937900877e-15 relative error 3.710764288986443e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49808230441792034 Order of pole (three term test) 22.456250508280277 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49808230441792034 Order of pole (three term test) 22.543749491719723 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.4099999999999926 y1[1] (analytic) 0.2558886346084125 y1[1] (numeric) 0.25588863460840894 absolute error 3.552713678800501e-15 relative error 1.388382756521107e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.6680555934164967 y2[1] (numeric) 1.6680555934164902 absolute error 6.439293542825908e-15 relative error 3.860359072108025e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4971077597746356 Order of pole (three term test) 22.446298275895057 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4971077597746357 Order of pole (three term test) 22.55370172410494 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.4199999999999924 y1[1] (analytic) 0.24924539527451406 y1[1] (numeric) 0.24924539527451045 absolute error 3.608224830031759e-15 relative error 1.4476595750375768e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.6605812012792063 y2[1] (numeric) 1.6605812012791998 absolute error 6.439293542825908e-15 relative error 3.877734818306678e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4959343786554563 Order of pole (three term test) 22.436367523483472 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4959343786554564 Order of pole (three term test) 22.56363247651653 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.429999999999992 y1[1] (analytic) 0.24267723077546144 y1[1] (numeric) 0.24267723077545775 absolute error 3.6914915568786455e-15 relative error 1.5211528271864204e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.653040751572271 y2[1] (numeric) 1.653040751572264 absolute error 6.8833827526759706e-15 relative error 4.164073236627058e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49456263039718484 Order of pole (three term test) 22.426462223214074 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4945626303971849 Order of pole (three term test) 22.57353777678593 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.439999999999992 y1[1] (analytic) 0.23618479792223113 y1[1] (numeric) 0.2361847979222273 absolute error 3.83026943495679e-15 relative error 1.6217256439247998e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.6454349983343768 y2[1] (numeric) 1.64543499833437 absolute error 6.8833827526759706e-15 relative error 4.183320981773092e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.492993063680835 Order of pole (three term test) 22.416586337074882 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4929930636808352 Order of pole (three term test) 22.583413662925114 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.4499999999999917 y1[1] (analytic) 0.22976874595269792 y1[1] (numeric) 0.2297687459526941 absolute error 3.83026943495679e-15 relative error 1.66701063674923e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.63776470213451 y2[1] (numeric) 1.637764702134503 absolute error 7.105427357601002e-15 relative error 4.338490961699473e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4912263063121663 Order of pole (three term test) 22.406743815288714 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4912263063121663 Order of pole (three term test) 22.593256184711283 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.4599999999999915 y1[1] (analytic) 0.22342971646671228 y1[1] (numeric) 0.22342971646670837 absolute error 3.913536161803677e-15 relative error 1.7515737045599017e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.6300306299958987 y2[1] (numeric) 1.6300306299958913 absolute error 7.327471962526033e-15 relative error 4.4952970991376215e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48926306497056926 Order of pole (three term test) 22.39693859473302 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4892630649705692 Order of pole (three term test) 22.603061405266978 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.4699999999999913 y1[1] (analytic) 0.21716834336194013 y1[1] (numeric) 0.21716834336193622 absolute error 3.913536161803677e-15 relative error 1.80207487943178e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.6222335553193115 y2[1] (numeric) 1.622233555319304 absolute error 7.549516567451064e-15 relative error 4.653779070649947e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4871041249264046 Order of pole (three term test) 22.387174597365302 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.48710412492640465 Order of pole (three term test) 22.6128254026347 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.479999999999991 y1[1] (analytic) 0.2109852527704743 y1[1] (numeric) 0.21098525277047034 absolute error 3.969047313034935e-15 relative error 1.881196558013827e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.6143742578057187 y2[1] (numeric) 1.6143742578057108 absolute error 7.993605777301127e-15 relative error 4.951519598786315e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4847503497269043 Order of pole (three term test) 22.377455728654315 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.48475034972690445 Order of pole (three term test) 22.62254427134568 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.489999999999991 y1[1] (analytic) 0.20488106299622133 y1[1] (numeric) 0.2048810629962173 absolute error 4.0245584642661925e-15 relative error 1.9643389220117517e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.6064535233783221 y2[1] (numeric) 1.606453523378314 absolute error 8.215650382226158e-15 relative error 5.114153794470754e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4822026808507653 Order of pole (three term test) 22.36778587601797 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.48220268085076523 Order of pole (three term test) 22.632214123982028 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.4999999999999907 y1[1] (analytic) 0.19885638445307185 y1[1] (numeric) 0.19885638445306775 absolute error 4.107825191113079e-15 relative error 2.0657245692217064e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.598472144103964 y2[1] (numeric) 1.5984721441039556 absolute error 8.43769498715119e-15 relative error 5.278599954509063e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4794621373315692 Order of pole (three term test) 22.35816890726839 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4794621373315691 Order of pole (three term test) 22.641831092731607 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.5099999999999905 y1[1] (analytic) 0.1929118196038596 y1[1] (numeric) 0.19291181960385545 absolute error 4.163336342344337e-15 relative error 2.1581551357991755e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.5904309181139205 y2[1] (numeric) 1.5904309181139118 absolute error 8.659739592076221e-15 relative error 5.444901437370029e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4765298153501838 Order of pole (three term test) 22.348608669064838 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4765298153501838 Order of pole (three term test) 22.65139133093516 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.5199999999999902 y1[1] (analytic) 0.18704796290011572 y1[1] (numeric) 0.18704796290011153 absolute error 4.191091917959966e-15 relative error 2.2406509287663422e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.5823306495240899 y2[1] (numeric) 1.582330649524081 absolute error 8.881784197001252e-15 relative error 5.61310254571166e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4734068877963044 Order of pole (three term test) 22.33910898537514 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4734068877963045 Order of pole (three term test) 22.660891014624866 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.52999999999999 y1[1] (analytic) 0.18126540072262398 y1[1] (numeric) 0.1812654007226198 absolute error 4.191091917959966e-15 relative error 2.3121301148768375e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.5741721483545805 y2[1] (numeric) 1.5741721483545716 absolute error 8.881784197001252e-15 relative error 5.642193711967924e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4700946037993143 Order of pole (three term test) 22.329673655946102 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4700946037993143 Order of pole (three term test) 22.670326344053894 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.53999999999999 y1[1] (analytic) 0.1755647113227835 y1[1] (numeric) 0.17556471132277926 absolute error 4.246603069191224e-15 relative error 2.418824966130953e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.5659562304487111 y2[1] (numeric) 1.565956230448702 absolute error 9.103828801926284e-15 relative error 5.813590843032478e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4665942882286488 Order of pole (three term test) 22.320306454783704 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.46659428822864896 Order of pole (three term test) 22.6796935452163 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.5499999999999896 y1[1] (analytic) 0.1699464647647836 y1[1] (numeric) 0.16994646476477931 absolute error 4.274358644806853e-15 relative error 2.515120659157476e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.5576837173914255 y2[1] (numeric) 1.5576837173914162 absolute error 9.325873406851315e-15 relative error 5.987013475668145e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4629073411638661 Order of pole (three term test) 22.311011128643507 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4629073411638662 Order of pole (three term test) 22.68898887135649 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.5599999999999894 y1[1] (analytic) 0.16441122286859822 y1[1] (numeric) 0.16441122286859391 absolute error 4.3021142204224816e-15 relative error 2.6166791690740264e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.5493554364271356 y2[1] (numeric) 1.549355436427126 absolute error 9.547918011776346e-15 relative error 6.162509768445488e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4590352373346338 Order of pole (three term test) 22.301791395532042 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4590352373346338 Order of pole (three term test) 22.698208604467965 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.569999999999989 y1[1] (analytic) 0.15895953915380434 y1[1] (numeric) 0.1589595391538 absolute error 4.3298697960381105e-15 relative error 2.72388169913393e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.5409722203769975 y2[1] (numeric) 1.5409722203769878 absolute error 9.769962616701378e-15 relative error 6.340128970210225e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.45497952553085524 Order of pole (three term test) 22.29265094321961 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.45497952553085536 Order of pole (three term test) 22.707349056780387 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.579999999999989 y1[1] (analytic) 0.15359195878423038 y1[1] (numeric) 0.15359195878422602 absolute error 4.3576253716537394e-15 relative error 2.837144213894319e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.5325349075556305 y2[1] (numeric) 1.5325349075556205 absolute error 9.992007221626409e-15 relative error 6.519921453249966e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.45074182798317747 Order of pole (three term test) 22.28359342776528 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4507418279831775 Order of pole (three term test) 22.716406572234728 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.5899999999999888 y1[1] (analytic) 0.14830901851344025 y1[1] (numeric) 0.14830901851343592 absolute error 4.3298697960381105e-15 relative error 2.919491909148953e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.5240443416872855 y2[1] (numeric) 1.5240443416872753 absolute error 1.021405182655144e-14 relative error 6.701938747558588e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.44632383971411754 Order of pole (three term test) 22.274622472054457 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.44632383971411754 Order of pole (three term test) 22.72537752794555 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.5999999999999885 y1[1] (analytic) 0.14311124663105868 y1[1] (numeric) 0.14311124663105435 absolute error 4.3298697960381105e-15 relative error 3.0255272719414783e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.515501371821474 y2[1] (numeric) 1.5155013718214636 absolute error 1.0436096431476471e-14 relative error 6.886233576241093e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4417273278600767 Order of pole (three term test) 22.265741664349814 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4417273278600768 Order of pole (three term test) 22.73425833565019 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.6099999999999883 y1[1] (analytic) 0.1379991629099424 y1[1] (numeric) 0.13799916290993808 absolute error 4.3298697960381105e-15 relative error 3.137605841032357e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.5069068522480635 y2[1] (numeric) 1.5069068522480527 absolute error 1.0880185641326534e-14 relative error 7.220211139855819e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.43695413096451124 Order of pole (three term test) 22.256954556856034 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4369541309645113 Order of pole (three term test) 22.743045443143973 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.619999999999988 y1[1] (analytic) 0.1329732785542035 y1[1] (numeric) 0.1329732785541992 absolute error 4.3021142204224816e-15 relative error 3.2353223649132063e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.498261642411849 y2[1] (numeric) 1.498261642411838 absolute error 1.0880185641326534e-14 relative error 7.26187291547556e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.43200615824253735 Order of pole (three term test) 22.24826466429894 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.43200615824253724 Order of pole (three term test) 22.751735335701053 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.629999999999988 y1[1] (analytic) 0.12803409614808936 y1[1] (numeric) 0.12803409614808503 absolute error 4.3298697960381105e-15 relative error 3.3818099446181974e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.48956660682661 y2[1] (numeric) 1.4895666068265987 absolute error 1.1324274851176597e-14 relative error 7.602395756777848e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.42688538881727156 Order of pole (three term test) 22.23967546251971 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4268853888172717 Order of pole (three term test) 22.76032453748029 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.6399999999999877 y1[1] (analytic) 0.12318210960572451 y1[1] (numeric) 0.12318210960572022 absolute error 4.288236432614667e-15 relative error 3.4812169123748993e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.4808226149886592 y2[1] (numeric) 1.4808226149886476 absolute error 1.1546319456101628e-14 relative error 7.797233334520661e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4215938709282083 Order of pole (three term test) 22.23119038708452 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4215938709282083 Order of pole (three term test) 22.768809612915476 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.6499999999999875 y1[1] (analytic) 0.11841780412171998 y1[1] (numeric) 0.11841780412171571 absolute error 4.274358644806853e-15 relative error 3.6095574280479816e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.4720305412898935 y2[1] (numeric) 1.472030541289882 absolute error 1.1546319456101628e-14 relative error 7.843804277310683e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.41613372111195046 Order of pole (three term test) 22.22281283191042 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4161337211119505 Order of pole (three term test) 22.777187168089583 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.6599999999999873 y1[1] (analytic) 0.11374165612265397 y1[1] (numeric) 0.11374165612264964 absolute error 4.3298697960381105e-15 relative error 3.806758177820948e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.4631912649303564 y2[1] (numeric) 1.4631912649303447 absolute error 1.176836406102666e-14 relative error 8.042943081393257e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4105071233556236 Order of pole (three term test) 22.21454614790777 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.41050712335562367 Order of pole (three term test) 22.78545385209223 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.669999999999987 y1[1] (analytic) 0.10915413321942935 y1[1] (numeric) 0.10915413321942515 absolute error 4.2049697057677804e-15 relative error 3.852322932485436e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.454305669830318 y2[1] (numeric) 1.4543056698303058 absolute error 1.2212453270876722e-14 relative error 8.397445959418983e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.40471632822330983 Order of pole (three term test) 22.20639364163996 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4047163282233099 Order of pole (three term test) 22.793606358360037 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.679999999999987 y1[1] (analytic) 0.1046556941605139 y1[1] (numeric) 0.10465569416050963 absolute error 4.274358644806853e-15 relative error 4.084210304172391e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.4453746445418831 y2[1] (numeric) 1.4453746445418707 absolute error 1.2434497875801753e-14 relative error 8.602958355992825e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.39876365195585234 Order of pole (three term test) 22.1983585740008 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.39876365195585234 Order of pole (three term test) 22.801641425999197 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.6899999999999866 y1[1] (analytic) 0.10024678878606452 y1[1] (numeric) 0.10024678878606029 absolute error 4.232725281383409e-15 relative error 4.222305105868696e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.4363990821601382 y2[1] (numeric) 1.4363990821601258 absolute error 1.2434497875801753e-14 relative error 8.656715275188043e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.39265147554439045 Order of pole (three term test) 22.1904441589102 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.39265147554439056 Order of pole (three term test) 22.809555841089804 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.6999999999999864 y1[1] (analytic) 0.09592785798294468 y1[1] (numeric) 0.0959278579829405 absolute error 4.1772141301521515e-15 relative error 4.354537063565864e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.4273798802338422 y2[1] (numeric) 1.4273798802338296 absolute error 1.2656542480726785e-14 relative error 8.866975537481523e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3863822437779939 Order of pole (three term test) 22.18265356202868 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.386382243777994 Order of pole (three term test) 22.81734643797132 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.709999999999986 y1[1] (analytic) 0.09169933364063565 y1[1] (numeric) 0.09169933364063147 absolute error 4.1772141301521515e-15 relative error 4.55533749735021e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.4183179406756714 y2[1] (numeric) 1.4183179406756585 absolute error 1.2878587085651816e-14 relative error 9.080183445692435e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.37995846426578067 Order of pole (three term test) 22.174989899491123 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3799584642657806 Order of pole (three term test) 22.825010100508877 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.719999999999986 y1[1] (analytic) 0.08756163860804778 y1[1] (numeric) 0.08756163860804368 absolute error 4.093947403305265e-15 relative error 4.675503414949787e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.4092141696720302 y2[1] (numeric) 1.409214169672017 absolute error 1.3100631690576847e-14 relative error 9.29640928435015e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.37338270643390625 Order of pole (three term test) 22.167456236660353 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.37338270643390636 Order of pole (three term test) 22.83254376333964 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.7299999999999858 y1[1] (analytic) 0.08351518665123636 y1[1] (numeric) 0.08351518665123232 absolute error 4.038436252074007e-15 relative error 4.835571126648762e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.4000694775924325 y2[1] (numeric) 1.4000694775924192 absolute error 1.3322676295501878e-14 relative error 9.515725118450284e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3666576004978283 Order of pole (three term test) 22.160055586901077 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.36665760049782836 Order of pole (three term test) 22.83994441309893 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.7399999999999856 y1[1] (analytic) 0.07956038241202501 y1[1] (numeric) 0.07956038241202104 absolute error 3.969047313034935e-15 relative error 4.9887232724450055e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.3908847788984657 y2[1] (numeric) 1.3908847788984522 absolute error 1.354472090042691e-14 relative error 9.738204850551228e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.35978583641025413 Order of pole (three term test) 22.152790910374495 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.359785836410254 Order of pole (three term test) 22.847209089625505 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.7499999999999853 y1[1] (analytic) 0.0756976213675421 y1[1] (numeric) 0.0756976213675381 absolute error 3.9968028886505635e-15 relative error 5.2799583612336954e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.3816609920523453 y2[1] (numeric) 1.3816609920523315 absolute error 1.3766765505351941e-14 relative error 9.963924279936809e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3527701627851962 Order of pole (three term test) 22.145665112854374 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3527701627851963 Order of pole (three term test) 22.854334887145637 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.759999999999985 y1[1] (analytic) 0.07192728979067287 y1[1] (numeric) 0.071927289790669 absolute error 3.8719027983802334e-15 relative error 5.383078953271391e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.3723990394250694 y2[1] (numeric) 1.3723990394250554 absolute error 1.3988810110276972e-14 relative error 1.0192961163931751e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3456133857985637 Order of pole (three term test) 22.13868104456471 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3456133857985638 Order of pole (three term test) 22.8613189554353 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.769999999999985 y1[1] (analytic) 0.06824976471143329 y1[1] (numeric) 0.06824976471142948 absolute error 3.816391647148976e-15 relative error 5.591801910651347e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.3630998472041824 y2[1] (numeric) 1.3630998472041682 absolute error 1.4210854715202004e-14 relative error 1.0425395281460494e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.33831836806572885 Order of pole (three term test) 22.13184149903969 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3383183680657289 Order of pole (three term test) 22.868158500960313 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.7799999999999847 y1[1] (analytic) 0.06466541387926661 y1[1] (numeric) 0.06466541387926288 absolute error 3.733124920302089e-15 relative error 5.77298542814867e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.3537643453011572 y2[1] (numeric) 1.3537643453011428 absolute error 1.4432899320127035e-14 relative error 1.066130849894433e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3308880274965188 Order of pole (three term test) 22.12514921200634 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.33088802749651886 Order of pole (three term test) 22.874850787993655 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.7899999999999845 y1[1] (analytic) 0.061174595726269154 y1[1] (numeric) 0.061174595726265456 absolute error 3.698430450782553e-15 relative error 6.045696594925595e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.3443934672584046 y2[1] (numeric) 1.34439346725839 absolute error 1.4654943925052066e-14 relative error 1.0900784838636273e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3233253361280921 Order of pole (three term test) 22.118606860290257 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.32332533612809217 Order of pole (three term test) 22.881393139709743 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.7999999999999843 y1[1] (analytic) 0.05777765933134715 y1[1] (numeric) 0.05777765933134351 absolute error 3.642919299551295e-15 relative error 6.305065559439921e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.3349881501559198 y2[1] (numeric) 1.3349881501559049 absolute error 1.4876988529977098e-14 relative error 1.1143910549497792e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.31563331893616103 Order of pole (three term test) 22.112217060744875 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3156333189361609 Order of pole (three term test) 22.887782939255125 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.809999999999984 y1[1] (analytic) 0.05447494438530931 y1[1] (numeric) 0.054474944385305764 absolute error 3.5457747848965937e-15 relative error 6.50900120212479e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.325549334517575 y2[1] (numeric) 1.32554933451756 absolute error 1.509903313490213e-14 relative error 1.1390774180726606e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.30781505262504355 Order of pole (three term test) 22.105982369204828 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.30781505262504366 Order of pole (three term test) 22.894017630795172 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.819999999999984 y1[1] (analytic) 0.05126678115689798 y1[1] (numeric) 0.05126678115689457 absolute error 3.406996906818449e-15 relative error 6.645622818393067e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.316077964217069 y2[1] (numeric) 1.3160779642170535 absolute error 1.554312234475219e-14 relative error 1.1810183566137551e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.299873664397022 Order of pole (three term test) 22.099905279463602 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2998736643970221 Order of pole (three term test) 22.90009472053641 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.8299999999999836 y1[1] (analytic) 0.04815349045976269 y1[1] (numeric) 0.04815349045975931 absolute error 3.3861802251067274e-15 relative error 7.032055605473163e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.3065749863835385 y2[1] (numeric) 1.3065749863835228 absolute error 1.5765166949677223e-14 relative error 1.2066025382372839e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.29181233070150386 Order of pole (three term test) 22.093988222276057 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.29181233070150386 Order of pole (three term test) 22.906011777723943 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.8399999999999834 y1[1] (analytic) 0.0451353836203785 y1[1] (numeric) 0.04513538362037529 absolute error 3.2127078775090467e-15 relative error 7.117936350182073e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.2970413513068482 y2[1] (numeric) 1.297041351306832 absolute error 1.6209256159527285e-14 relative error 1.2497100530523158e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.28363427596448454 Order of pole (three term test) 22.088233564386194 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2836342759644845 Order of pole (three term test) 22.911766435613803 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.849999999999983 y1[1] (analytic) 0.04221276244691452 y1[1] (numeric) 0.04221276244691137 absolute error 3.1502578323738817e-15 relative error 7.462808993691302e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.2874780123425604 y2[1] (numeric) 1.2874780123425442 absolute error 1.6209256159527285e-14 relative error 1.2589928530146015e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.27534277129881907 Order of pole (three term test) 22.08264360758042 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.275342771298819 Order of pole (three term test) 22.917356392419578 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.859999999999983 y1[1] (analytic) 0.03938591919905243 y1[1] (numeric) 0.039385919199049386 absolute error 3.0461744238152733e-15 relative error 7.73417121083354e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.2778859258166029 y2[1] (numeric) 1.2778859258165864 absolute error 1.6431300764452317e-14 relative error 1.2858190572802718e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.26694113319582224 Order of pole (three term test) 22.07722058776694 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2669411331958222 Order of pole (three term test) 22.92277941223306 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.869999999999983 y1[1] (analytic) 0.0366551365587614 y1[1] (numeric) 0.03665513655875843 absolute error 2.9698465908722937e-15 relative error 8.102129386726929e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.2682660509296346 y2[1] (numeric) 1.2682660509296177 absolute error 1.687538997430238e-14 relative error 1.3305875342111994e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2584327221987146 Order of pole (three term test) 22.071966674081374 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.25843272219871455 Order of pole (three term test) 22.928033325918623 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.8799999999999826 y1[1] (analytic) 0.0340206876020297 y1[1] (numeric) 0.034020687602026894 absolute error 2.8033131371785203e-15 relative error 8.240024922398313e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.2586193496611275 y2[1] (numeric) 1.2586193496611104 absolute error 1.709743457922741e-14 relative error 1.3584277552884236e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24982094155845133 Order of pole (three term test) 22.06688396801914 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.24982094155845128 Order of pole (three term test) 22.933116031980862 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.8899999999999824 y1[1] (analytic) 0.03148283577155775 y1[1] (numeric) 0.03148283577155508 absolute error 2.671474153004283e-15 relative error 8.485494039954776e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.2489467866731698 y2[1] (numeric) 1.2489467866731525 absolute error 1.7319479184152442e-14 relative error 1.3867267500072189e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2411092358724661 Order of pole (three term test) 22.06197450259489 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.24110923587246613 Order of pole (three term test) 22.938025497405114 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.899999999999982 y1[1] (analytic) 0.029041834850413784 y1[1] (numeric) 0.029041834850411157 absolute error 2.626371342628886e-15 relative error 9.043407057978865e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.2392493292139997 y2[1] (numeric) 1.2392493292139821 absolute error 1.7541523789077473e-14 relative error 1.4154959277003019e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23230108970687863 Order of pole (three term test) 22.057240241529342 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.23230108970687857 Order of pole (three term test) 22.942759758470658 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.909999999999982 y1[1] (analytic) 0.02669792893665557 y1[1] (numeric) 0.02669792893665309 absolute error 2.4771851236948805e-15 relative error 9.278566624296349e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.2295279470212819 y2[1] (numeric) 1.2295279470212641 absolute error 1.7763568394002505e-14 relative error 1.444747021573397e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22340002620271537 Order of pole (three term test) 22.052683078463797 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.22340002620271543 Order of pole (three term test) 22.947316921536206 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.9199999999999817 y1[1] (analytic) 0.02445135241892138 y1[1] (numeric) 0.024451352418919003 absolute error 2.3765711620882257e-15 relative error 9.71958982624268e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.2197836122251347 y2[1] (numeric) 1.2197836122251167 absolute error 1.7985612998927536e-14 relative error 1.4744920999650176e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.214409605666698 Order of pole (three term test) 22.048304836202725 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.21440960566669803 Order of pole (three term test) 22.951695163797282 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.9299999999999815 y1[1] (analytic) 0.02230232995299075 y1[1] (numeric) 0.022302329952988528 absolute error 2.2239154962022667e-15 relative error 9.971673367266449e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.2100172992509175 y2[1] (numeric) 1.210017299250899 absolute error 1.84297022087776e-14 relative error 1.5230941094963544e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2053334241471707 Order of pole (three term test) 22.044107265984646 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2053334241471707 Order of pole (three term test) 22.95589273401536 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.9399999999999813 y1[1] (analytic) 0.02025107643931945 y1[1] (numeric) 0.020251076439317412 absolute error 2.0365653607967715e-15 relative error 1.0056578310289622e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.2002299847217888 y2[1] (numeric) 1.2002299847217703 absolute error 1.84297022087776e-14 relative error 1.535514230053965e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19617511199572715 Order of pole (three term test) 22.04009204678168 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.19617511199572712 Order of pole (three term test) 22.95990795321832 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.949999999999981 y1[1] (analytic) 0.018297797001549543 y1[1] (numeric) 0.01829779700154765 absolute error 1.8943180357666733e-15 relative error 1.035271096081268e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.1904226473610457 y2[1] (numeric) 1.190422647361027 absolute error 1.865174681370263e-14 relative error 1.566817201861055e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18693833241511837 Order of pole (three term test) 22.03626078462798 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.18693833241511842 Order of pole (three term test) 22.963739215372012 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.959999999999981 y1[1] (analytic) 0.016442686965997044 y1[1] (numeric) 0.01644268696599529 absolute error 1.7555401576885288e-15 relative error 1.0676723100785961e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.1805962678942516 y2[1] (numeric) 1.1805962678942328 absolute error 1.887379141862766e-14 relative error 1.5986660242702228e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17762677999402146 Order of pole (three term test) 22.032615011977327 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.17762677999402152 Order of pole (three term test) 22.96738498802268 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.9699999999999807 y1[1] (analytic) 0.014685931842119526 y1[1] (numeric) 0.014685931842117967 absolute error 1.5595164049031496e-15 relative error 1.0619117817436871e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.1707518289511647 y2[1] (numeric) 1.1707518289511454 absolute error 1.9317880628477724e-14 relative error 1.6500406107231054e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1682441792292524 Order of pole (three term test) 22.02915618709016 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.16824417922925247 Order of pole (three term test) 22.970843812909838 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.9799999999999804 y1[1] (analytic) 0.013027707303965519 y1[1] (numeric) 0.013027707303964112 absolute error 1.4068607390171906e-15 relative error 1.0798989462934545e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.160890314967475 y2[1] (numeric) 1.1608903149674556 absolute error 1.9317880628477724e-14 relative error 1.6640573514491727e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15879428303601748 Order of pole (three term test) 22.025885693450324 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.15879428303601753 Order of pole (three term test) 22.974114306549676 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.9899999999999802 y1[1] (analytic) 0.011468179172607007 y1[1] (numeric) 0.011468179172605692 absolute error 1.3149203947904198e-15 relative error 1.1465816630518383e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.1510127120863636 y2[1] (numeric) 1.151012712086344 absolute error 1.9539925233402755e-14 relative error 1.697628968665693e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14928087124679723 Order of pole (three term test) 22.02280483921167 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.14928087124679726 Order of pole (three term test) 22.977195160788327 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.99999999999998 y1[1] (analytic) 0.01000750339955736 y1[1] (numeric) 0.01000750339955624 absolute error 1.1206313654810174e-15 relative error 1.1197911414455116e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.141120008059887 y2[1] (numeric) 1.1411200080598671 absolute error 1.9761969838327786e-14 relative error 1.7318046917717932e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.139707749099463 Order of pole (three term test) 22.01991485667482 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.13970774909946304 Order of pole (three term test) 22.980085143325184 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.00999999999998 y1[1] (analytic) 0.008645826051176808 y1[1] (numeric) 0.008645826051175835 absolute error 9.731798700229888e-16 relative error 1.1256065808662973e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.131213192150204 y2[1] (numeric) 1.131213192150184 absolute error 1.9984014443252818e-14 relative error 1.7666001936617545e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1300787457152344 Order of pole (three term test) 22.01721690179424 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1300787457152344 Order of pole (three term test) 22.98278309820576 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.0199999999999796 y1[1] (analytic) 0.007383283294065346 y1[1] (numeric) 0.007383283294064588 absolute error 7.580741590018647e-16 relative error 1.0267439685149312e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.12129325503065 y2[1] (numeric) 1.1212932550306298 absolute error 2.020605904817785e-14 relative error 1.8020316235314843e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.12039771256707986 Order of pole (three term test) 22.01471205371593 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.12039771256707986 Order of pole (three term test) 22.98528794628408 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.0299999999999794 y1[1] (analytic) 0.006220001381446738 y1[1] (numeric) 0.0062200013814460945 absolute error 6.435824095873954e-16 relative error 1.0346981778928507e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.1113611886866703 y2[1] (numeric) 1.11136118868665 absolute error 2.042810365310288e-14 relative error 1.8381156244301995e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11066852193917978 Order of pole (three term test) 22.012401314345706 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1106685219391798 Order of pole (three term test) 22.98759868565429 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.039999999999979 y1[1] (analytic) 0.005156096640542618 y1[1] (numeric) 0.005156096640542217 absolute error 4.0072112295064244e-16 relative error 7.771792324444704e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.1014179863166227 y2[1] (numeric) 1.101417986316602 absolute error 2.0650148258027912e-14 relative error 1.874869351560748e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10089506537806486 Order of pole (three term test) 22.010285607948518 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.10089506537806488 Order of pole (three term test) 22.989714392051486 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.049999999999979 y1[1] (analytic) 0.00419167546094068 y1[1] (numeric) 0.004191675460940463 absolute error 2.177077962350893e-16 relative error 5.193813267839016e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.091464642232458 y2[1] (numeric) 1.0914646422324372 absolute error 2.0872192862952943e-14 relative error 1.9123104913652e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09108125213604817 Order of pole (three term test) 22.00836578077871 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.09108125213604817 Order of pole (three term test) 22.991634219221293 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.0599999999999787 y1[1] (analytic) 0.0033268342839551934 y1[1] (numeric) 0.0033268342839551093 absolute error 8.413408858487514e-17 relative error 2.5289533954438556e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.0815021517602903 y2[1] (numeric) 1.0815021517602694 absolute error 2.0872192862952943e-14 relative error 1.9299261521561136e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08123100760757752 Order of pole (three term test) 22.006642600741554 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.08123100760757757 Order of pole (three term test) 22.99335739925845 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.0699999999999785 y1[1] (analytic) 0.0025616595929830455 y1[1] (numeric) 0.0025616595929831574 absolute error 1.1188966420050406e-16 relative error 4.3678584190887305e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.071531511140865 y2[1] (numeric) 1.0715315111408439 absolute error 2.1094237467877974e-14 relative error 1.9686063590812027e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0713482717591296 Order of pole (three term test) 22.005116757086093 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.07134827175912961 Order of pole (three term test) 22.994883242913907 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.0799999999999783 y1[1] (analytic) 0.001896227904855663 y1[1] (numeric) 0.0018962279048560602 absolute error 3.972516759986888e-16 relative error 2.0949574414628543e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.0615537174299348 y2[1] (numeric) 1.0615537174299137 absolute error 2.1094237467877974e-14 relative error 1.9871097544595284e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06143699755327568 Order of pole (three term test) 22.003788860129447 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.06143699755327565 Order of pole (three term test) 22.99621113987055 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.089999999999978 y1[1] (analytic) 0.0013306057621875755 y1[1] (numeric) 0.0013306057621881055 absolute error 5.299580219109146e-16 relative error 3.982832759115967e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.0515697683985563 y2[1] (numeric) 1.051569768398535 absolute error 2.1316282072803006e-14 relative error 2.0270915647628153e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.05150114936754939 Order of pole (three term test) 22.002659441012682 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.05150114936754939 Order of pole (three term test) 22.99734055898732 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.099999999999978 y1[1] (analytic) 0.0008648497267214061 y1[1] (numeric) 0.0008648497267222106 absolute error 8.044780119842443e-16 relative error 9.301939829870475e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.0415806624333126 y2[1] (numeric) 1.041580662433291 absolute error 2.1538326677728037e-14 relative error 2.0678500911692023e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04154470140874884 Order of pole (three term test) 22.001728951488392 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.041544701408748844 Order of pole (three term test) 22.998271048511608 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.1099999999999777 y1[1] (analytic) 0.000499006373672839 y1[1] (numeric) 0.000499006373673794 absolute error 9.550736937424809e-16 relative error 1.9139508914742862e-10% Correct digits 12 h 0.01 y2[1] (analytic) 1.031587398436476 y2[1] (numeric) 1.0315873984364543 absolute error 2.1760371282653068e-14 relative error 2.1094064657666566e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.031571636123306816 Order of pole (three term test) 22.000997763739978 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.031571636123306816 Order of pole (three term test) 22.999002236260015 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.1199999999999775 y1[1] (analytic) 0.00023311228707212361 y1[1] (numeric) 0.00023311228707329146 absolute error 1.1678483700927611e-15 relative error 5.0098104426878e-10% Correct digits 12 h 0.01 y2[1] (analytic) 1.0215909757261186 y2[1] (numeric) 1.0215909757260966 absolute error 2.19824158875781e-14 relative error 2.1517825049260647e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.021585942604364992 Order of pole (three term test) 22.0004661702328 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.021585942604365003 Order of pole (three term test) 22.999533829767195 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.1299999999999772 y1[1] (analytic) 6.719405610644547e-05 y1[1] (numeric) 6.719405610778586e-05 absolute error 1.3403991458438291e-15 relative error 1.9948180293215755e-09% Correct digits 11 h 0.01 y2[1] (analytic) 1.0115923939361808 y2[1] (numeric) 1.0115923939361586 absolute error 2.220446049250313e-14 relative error 2.1950007360280687e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0115916149961901 Order of pole (three term test) 22.00013438359717 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.011591614996190098 Order of pole (three term test) 22.99986561640283 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.139999999999977 y1[1] (analytic) 1.2682724604973217e-06 y1[1] (numeric) 1.2682724621095574e-06 absolute error 1.6122357355402572e-15 relative error 1.2712061372901364e-07% Correct digits 9 h 0.01 y2[1] (analytic) 1.00159265291651 y2[1] (numeric) 1.0015926529164874 absolute error 2.2648549702353193e-14 relative error 2.2612535781291434e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0015926508965695284 Order of pole (three term test) 22.00000253654331 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.0015926508965695284 Order of pole (three term test) 22.999997463456683 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.149999999999977 y1[1] (analytic) 3.5341528657806265e-05 y1[1] (numeric) 3.534152865968906e-05 absolute error 1.882798387684015e-15 relative error 5.327439019161218e-09% Correct digits 11 h 0.01 y2[1] (analytic) 0.9915927526328745 y2[1] (numeric) 0.9915927526328517 absolute error 2.275957200481571e-14 relative error 2.2952539683639833e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.008406950242174511 Order of pole (three term test) 22.00007068180829 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.008406950242174508 Order of pole (three term test) 22.999929318191704 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.1599999999999766 y1[1] (analytic) 0.00016941041740126117 y1[1] (numeric) 0.00016941041740329803 absolute error 2.036863516394205e-15 relative error 1.2023248319905513e-09% Correct digits 11 h 0.01 y2[1] (analytic) 0.9815936930669698 y2[1] (numeric) 0.9815936930669468 absolute error 2.298161660974074e-14 relative error 2.34125552884668e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.01840318871291291 Order of pole (three term test) 22.00033879213491 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.018403188712912917 Order of pole (three term test) 22.999661207865092 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.1699999999999764 y1[1] (analytic) 0.0004034615319135071 y1[1] (numeric) 0.0004034615319157862 absolute error 2.279101386781779e-15 relative error 5.64886911516106e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9715964741164197 y2[1] (numeric) 0.9715964741163966 absolute error 2.3092638912203256e-14 relative error 2.3767726136721473e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.02839206615353869 Order of pole (three term test) 22.00080676028262 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.028392066153538686 Order of pole (three term test) 22.999193239717385 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.179999999999976 y1[1] (analytic) 0.0007374714672782057 y1[1] (numeric) 0.000737471467280744 absolute error 2.538334126223063e-15 relative error 3.4419421480688893e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9616020954947886 y2[1] (numeric) 0.9616020954947653 absolute error 2.3314683517128287e-14 relative error 2.4245666296236396e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.03836958714625886 Order of pole (three term test) 22.001474399070393 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.03836958714625886 Order of pole (three term test) 22.998525600929604 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.189999999999976 y1[1] (analytic) 0.0011714068227801633 y1[1] (numeric) 0.0011714068227829755 absolute error 2.8122035949929014e-15 relative error 2.4007061767990614e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9516115566316098 y2[1] (numeric) 0.9516115566315864 absolute error 2.3425705819590803e-14 relative error 2.4616878238122762e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04833176081570818 Order of pole (three term test) 22.00234144145162 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.048331760815708176 Order of pole (three term test) 22.99765855854838 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.1999999999999758 y1[1] (analytic) 0.001705224205245548 y1[1] (numeric) 0.0017052242052485417 absolute error 2.993699038666975e-15 relative error 1.7556043536432734e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9416258565724442 y2[1] (numeric) 0.9416258565724207 absolute error 2.353672812205332e-14 relative error 2.499583880133448e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.058274602425246125 Order of pole (three term test) 22.00340754062091 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.05827460242524612 Order of pole (three term test) 22.996592459379094 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.2099999999999755 y1[1] (analytic) 0.002338870233380752 y1[1] (numeric) 0.002338870233384043 absolute error 3.290770433928003e-15 relative error 1.4069914555162445e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9316459938789766 y2[1] (numeric) 0.9316459938789529 absolute error 2.375877272697835e-14 relative error 2.550193193882255e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06819413497079829 Order of pole (three term test) 22.0046722701528 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.0681941349707983 Order of pole (three term test) 22.995327729847197 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.2199999999999753 y1[1] (analytic) 0.0030722815431111217 y1[1] (numeric) 0.0030722815431147013 absolute error 3.5796018926781414e-15 relative error 1.1651282092634276e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9216729665291595 y2[1] (numeric) 0.9216729665291356 absolute error 2.398081733190338e-14 relative error 2.601879213427563e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.07808639077160513 Order of pole (three term test) 22.006135124172346 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.07808639077160516 Order of pole (three term test) 22.99386487582766 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.229999999999975 y1[1] (analytic) 0.0039053847939168884 y1[1] (numeric) 0.003905384793920719 absolute error 3.830703115825784e-15 relative error 9.808772548591294e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9117077718174171 y2[1] (numeric) 0.911707771817393 absolute error 2.4091839634365897e-14 relative error 2.642495806122254e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08794741305724149 Order of pole (three term test) 22.00779551755745 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.08794741305724148 Order of pole (three term test) 22.99220448244255 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.239999999999975 y1[1] (analytic) 0.004838096676167192 y1[1] (numeric) 0.004838096676171266 absolute error 4.0739980833315315e-15 relative error 8.420662826768914e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9017514062549166 y2[1] (numeric) 0.9017514062548923 absolute error 2.4313884239290928e-14 relative error 2.6962956831161985e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09777325755027137 Order of pole (three term test) 22.009652786172893 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.09777325755027136 Order of pole (three term test) 22.990347213827107 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.2499999999999747 y1[1] (analytic) 0.0058703239194510815 y1[1] (numeric) 0.005870323919455373 absolute error 4.291705879566621e-15 relative error 7.31085019916231e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.8918048654699168 y2[1] (numeric) 0.8918048654698923 absolute error 2.4424906541753444e-14 relative error 2.7388173677302468e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1075599940439072 Order of pole (three term test) 22.011706187135985 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.10755999404390719 Order of pole (three term test) 22.98829381286401 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.2599999999999745 y1[1] (analytic) 0.007001963301904279 y1[1] (numeric) 0.007001963301908901 absolute error 4.621303340002214e-15 relative error 6.600010798036299e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.8818691441082078 y2[1] (numeric) 0.8818691441081832 absolute error 2.4646951146678475e-14 relative error 2.794853557508553e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1173037079740396 Order of pole (three term test) 22.013954899113735 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.11730370797403968 Order of pole (three term test) 22.986045100886276 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.2699999999999743 y1[1] (analytic) 0.00823290166053181 y1[1] (numeric) 0.008232901660536631 absolute error 4.820796539739547e-15 relative error 5.855525473904597e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.8719452357336459 y2[1] (numeric) 0.8719452357336211 absolute error 2.475797344914099e-14 relative error 2.839395461380081e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1270005019850108 Order of pole (three term test) 22.016398022651316 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1270005019850108 Order of pole (three term test) 22.98360197734868 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.279999999999974 y1[1] (analytic) 0.009563015902523286 y1[1] (numeric) 0.00956301590252848 absolute error 5.1937620870745604e-15 relative error 5.4310921784665655e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.8620341327287987 y2[1] (numeric) 0.8620341327287738 absolute error 2.4868995751603507e-14 relative error 2.8849200753663714e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13664649748850566 Order of pole (three term test) 22.019034580531898 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.13664649748850574 Order of pole (three term test) 22.980965419468102 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.289999999999974 y1[1] (analytic) 0.010992173017563278 y1[1] (numeric) 0.010992173017568673 absolute error 5.39499001028787e-15 relative error 4.908028650629646e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.8521368261957074 y2[1] (numeric) 0.8521368261956824 absolute error 2.4980018054066022e-14 relative error 2.9314562269990366e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14623783621493414 Order of pole (three term test) 22.02186351816749 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1462378362149342 Order of pole (three term test) 22.978136481832518 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.2999999999999736 y1[1] (analytic) 0.012520230091130902 y1[1] (numeric) 0.012520230091136668 absolute error 5.766220834146907e-15 relative error 4.605523055228506e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.8422543058567776 y2[1] (numeric) 0.8422543058567525 absolute error 2.5091040356528538e-14 relative error 2.979033788495132e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15577068175668843 Order of pole (three term test) 22.024883704020734 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.15577068175668846 Order of pole (three term test) 22.975116295979262 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.3099999999999734 y1[1] (analytic) 0.014147034318792495 y1[1] (numeric) 0.014147034318798483 absolute error 5.988265439071938e-15 relative error 4.2328768730823717e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.8323875599558079 y2[1] (numeric) 0.8323875599557826 absolute error 2.531308496145357e-14 relative error 3.0410215360255336e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1652412211026548 Order of pole (three term test) 22.028093930057572 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.16524122110265482 Order of pole (three term test) 22.971906069942424 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.319999999999973 y1[1] (analytic) 0.01587242302148073 y1[1] (numeric) 0.01587242302148702 absolute error 6.2901073238919025e-15 relative error 3.962915627550545e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.8225375751591661 y2[1] (numeric) 0.8225375751591406 absolute error 2.55351295663786e-14 relative error 3.104433200080543e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17464566616336707 Order of pole (three term test) 22.031492912230394 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.17464566616336707 Order of pole (three term test) 22.9685070877696 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.329999999999973 y1[1] (analytic) 0.017696223661763266 y1[1] (numeric) 0.017696223661769827 absolute error 6.5607241861442844e-15 relative error 3.707414819987966e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.8127053364571234 y2[1] (numeric) 0.8127053364570979 absolute error 2.55351295663786e-14 relative error 3.141991127767841e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1839802552861915 Order of pole (three term test) 22.035079290991654 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.18398025528619158 Order of pole (three term test) 22.964920709008357 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.3399999999999728 y1[1] (analytic) 0.019618253861095836 y1[1] (numeric) 0.019618253861102705 absolute error 6.869504964868156e-15 relative error 3.501588374534592e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.8028918270653567 y2[1] (numeric) 0.802891827065331 absolute error 2.5646151868841116e-14 relative error 3.1942225595420687e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19324125475993914 Order of pole (three term test) 22.03885163183764 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.19324125475993914 Order of pole (three term test) 22.961148368162362 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.3499999999999726 y1[1] (analytic) 0.021638321418060213 y1[1] (numeric) 0.02163832141806741 absolute error 7.195632978351796e-15 relative error 3.3254118188419323e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.7930980283266271 y2[1] (numeric) 0.7930980283266014 absolute error 2.5757174171303632e-14 relative error 3.2476658939184596e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20242496030829837 Order of pole (three term test) 22.042808425882345 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.20242496030829832 Order of pole (three term test) 22.95719157411766 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.3599999999999723 y1[1] (analytic) 0.023756224327584174 y1[1] (numeric) 0.023756224327591623 absolute error 7.44890260584441e-15 relative error 3.135558287010799e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.7833249196126473 y2[1] (numeric) 0.7833249196126213 absolute error 2.5979218776228663e-14 relative error 3.316531636587706e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21152769857149784 Order of pole (three term test) 22.046948090460884 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.21152769857149786 Order of pole (three term test) 22.95305190953912 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.369999999999972 y1[1] (analytic) 0.025971750801141558 y1[1] (numeric) 0.025971750801149312 absolute error 7.754213937616328e-15 relative error 2.985633890063161e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.7735734782261441 y2[1] (numeric) 0.773573478226118 absolute error 2.609024107869118e-14 relative error 3.372690741481708e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22054582857560034 Order of pole (three term test) 22.051268969762617 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.22054582857560037 Order of pole (three term test) 22.948731030237383 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.379999999999972 y1[1] (analytic) 0.028284679287931325 y1[1] (numeric) 0.028284679287939384 absolute error 8.059525269388246e-15 relative error 2.8494313785014814e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.7638446793031302 y2[1] (numeric) 0.763844679303104 absolute error 2.6201263381153694e-14 relative error 3.430182089512962e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22947574318884456 Order of pole (three term test) 22.055769335493455 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.22947574318884456 Order of pole (three term test) 22.944230664506552 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.3899999999999717 y1[1] (analytic) 0.03069477849703217 y1[1] (numeric) 0.03069477849704059 absolute error 8.420347752391422e-15 relative error 2.743250860469826e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.7541394957153905 y2[1] (numeric) 0.7541394957153642 absolute error 2.631228568361621e-14 relative error 3.4890475612414247e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23831387056444897 Order of pole (three term test) 22.06044738756709 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2383138705644491 Order of pole (three term test) 22.939552612432905 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.3999999999999715 y1[1] (analytic) 0.03320180742053169 y1[1] (numeric) 0.033201807420540436 absolute error 8.743006318923108e-15 relative error 2.6332922808041205e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.7444588979731963 y2[1] (numeric) 0.7444588979731698 absolute error 2.653433028854124e-14 relative error 3.5642438233704327e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24705667556930358 Order of pole (three term test) 22.065301254825084 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.24705667556930358 Order of pole (three term test) 22.934698745174913 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.4099999999999713 y1[1] (analytic) 0.03580551535762666 y1[1] (numeric) 0.03580551535763575 absolute error 9.089951014118469e-15 relative error 2.5387013490317735e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.7348038541282544 y2[1] (numeric) 0.7348038541282278 absolute error 2.6645352591003757e-14 relative error 3.6261857421277232e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2557006611979755 Order of pole (three term test) 22.070328995785243 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2557006611979755 Order of pole (three term test) 22.929671004214757 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.419999999999971 y1[1] (analytic) 0.03850564193969319 y1[1] (numeric) 0.03850564193970258 absolute error 9.38832345198648e-15 relative error 2.438168273285846e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.7251753296769037 y2[1] (numeric) 0.725175329676877 absolute error 2.6645352591003757e-14 relative error 3.674332468380494e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.26424236997146494 Order of pole (three term test) 22.075528599418213 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2642423699714649 Order of pole (three term test) 22.924471400581783 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.429999999999971 y1[1] (analytic) 0.04130191715632314 y1[1] (numeric) 0.04130191715633281 absolute error 9.665879208142769e-15 relative error 2.34029795071219e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.7155742874635656 y2[1] (numeric) 0.7155742874635388 absolute error 2.6756374893466273e-14 relative error 3.739147054641564e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.27267838532015026 Order of pole (three term test) 22.08089798595188 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2726783853201502 Order of pole (three term test) 22.919102014048125 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.4399999999999706 y1[1] (analytic) 0.044194061382324956 y1[1] (numeric) 0.044194061382335 absolute error 1.004057947895376e-14 relative error 2.2719295681137388e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.7060016875844604 y2[1] (numeric) 0.7060016875844335 absolute error 2.6867397195928788e-14 relative error 3.805571242733693e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.28100533295037106 Order of pole (three term test) 22.0864350077032 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.281005332950371 Order of pole (three term test) 22.9135649922968 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.4499999999999704 y1[1] (analytic) 0.047181785405686294 y1[1] (numeric) 0.04718178540569666 absolute error 1.0366707492437399e-14 relative error 2.197184231859953e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.6964584872915991 y2[1] (numeric) 0.696458487291572 absolute error 2.708944180085382e-14 relative error 3.8895989201308685e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2892198821940995 Order of pole (three term test) 22.092137449937326 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2892198821940995 Order of pole (three term test) 22.907862550062678 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.45999999999997 y1[1] (analytic) 0.05026479045649457 y1[1] (numeric) 0.050264790456505226 absolute error 1.0658141036401503e-14 relative error 2.1203989790082564e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.686945640897058 y2[1] (numeric) 0.6869456408970309 absolute error 2.708944180085382e-14 relative error 3.943462217109155e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2973187473411638 Order of pole (three term test) 22.09800303175337 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2973187473411639 Order of pole (three term test) 22.90199696824663 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.46999999999997 y1[1] (analytic) 0.05344276823681371 y1[1] (numeric) 0.05344276823682477 absolute error 1.1060596882828122e-14 relative error 2.0696152627829447e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.6774640996775496 y2[1] (numeric) 0.6774640996775224 absolute error 2.7200464103316335e-14 relative error 4.015041404594406e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.30529868895348894 Order of pole (three term test) 22.104029406996833 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.30529868895348894 Order of pole (three term test) 22.895970593003174 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.47999999999997 y1[1] (analytic) 0.05671540095151417 y1[1] (numeric) 0.056715400951525566 absolute error 1.1393663790215669e-14 relative error 2.0089188472732617e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.6680148117792943 y2[1] (numeric) 0.6680148117792671 absolute error 2.7200464103316335e-14 relative error 4.071835477849121e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3131565151608275 Order of pole (three term test) 22.11021416519796 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3131565151608275 Order of pole (three term test) 22.889785834802044 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.4899999999999696 y1[1] (analytic) 0.06008236134005163 y1[1] (numeric) 0.060082361340063326 absolute error 1.1698975121987587e-14 relative error 1.9471563468975893e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.6585987221232079 y2[1] (numeric) 0.6585987221231805 absolute error 2.7422508708241367e-14 relative error 4.1637658542421644e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.32088908293746604 Order of pole (three term test) 22.116554832535925 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.320889082937466 Order of pole (three term test) 22.883445167464075 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.4999999999999694 y1[1] (analytic) 0.06354331270919289 y1[1] (numeric) 0.06354331270920499 absolute error 1.2101430968414206e-14 relative error 1.9044381623282096e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.6492167723104089 y2[1] (numeric) 0.6492167723103814 absolute error 2.7422508708241367e-14 relative error 4.2239371929118755e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3284932993593939 Order of pole (three term test) 22.123048872828353 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.328493299359394 Order of pole (three term test) 22.876951127171655 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.509999999999969 y1[1] (analytic) 0.06709790896668533 y1[1] (numeric) 0.06709790896669776 absolute error 1.2434497875801753e-14 relative error 1.8531870914152608e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.6398699005280604 y2[1] (numeric) 0.6398699005280329 absolute error 2.7422508708241367e-14 relative error 4.285638172011312e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.33596612284143046 Order of pole (three term test) 22.129693688545693 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3359661228414306 Order of pole (three term test) 22.870306311454318 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.519999999999969 y1[1] (analytic) 0.07074579465586528 y1[1] (numeric) 0.07074579465587805 absolute error 1.27675647831893e-14 relative error 1.8047100672620385e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.6305590414555517 y2[1] (numeric) 0.6305590414555242 absolute error 2.7533531010703882e-14 relative error 4.366527034034247e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3433045643538187 Order of pole (three term test) 22.13648662185026 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3433045643538186 Order of pole (three term test) 22.863513378149737 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.5299999999999687 y1[1] (analytic) 0.07448660499120374 y1[1] (numeric) 0.07448660499121683 absolute error 1.3086753902769033e-14 relative error 1.7569271554683518e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.6212851261710312 y2[1] (numeric) 0.6212851261710035 absolute error 2.7644553313166398e-14 relative error 4.449575911069894e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3505056886177987 Order of pole (three term test) 22.143424955659313 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3505056886177987 Order of pole (three term test) 22.856575044340687 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.5399999999999685 y1[1] (analytic) 0.0783199658947844 y1[1] (numeric) 0.0783199658947979 absolute error 1.3489209749195652e-14 relative error 1.7223206873349704e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.6120490820582987 y2[1] (numeric) 0.612049082058271 absolute error 2.7644553313166398e-14 relative error 4.516721636147019e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3575666152796783 Order of pole (three term test) 22.150505914731827 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.35756661527967853 Order of pole (three term test) 22.849494085268173 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.5499999999999683 y1[1] (analytic) 0.08224549403371151 y1[1] (numeric) 0.08224549403372534 absolute error 1.3836154444391013e-14 relative error 1.682299390009102e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.6028518327140692 y2[1] (numeric) 0.6028518327140414 absolute error 2.7755575615628914e-14 relative error 4.6040459876636554e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3644845200629375 Order of pole (three term test) 22.157726666778597 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3644845200629376 Order of pole (three term test) 22.842273333221403 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.559999999999968 y1[1] (analytic) 0.08626279685844229 y1[1] (numeric) 0.08626279685845654 absolute error 1.4252488078625447e-14 relative error 1.652217247490115e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.5936942978556125 y2[1] (numeric) 0.5936942978555847 absolute error 2.7755575615628914e-14 relative error 4.6750618484766245e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.37125663589790003 Order of pole (three term test) 22.16508432359507 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3712566358979001 Order of pole (three term test) 22.834915676404933 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.569999999999968 y1[1] (analytic) 0.09037147264204215 y1[1] (numeric) 0.09037147264205678 absolute error 1.4627188349436437e-14 relative error 1.6185625753133575e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.5845773932287832 y2[1] (numeric) 0.5845773932287555 absolute error 2.7755575615628914e-14 relative error 4.747972798319683e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.37788025402852626 Order of pole (three term test) 22.17257594221662 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3778802540285263 Order of pole (three term test) 22.827424057783382 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.5799999999999677 y1[1] (analytic) 0.0945711105203566 y1[1] (numeric) 0.09457111052037155 absolute error 1.494637746901617e-14 relative error 1.5804379780227848e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.5755020305164468 y2[1] (numeric) 0.5755020305164189 absolute error 2.786659791809143e-14 relative error 4.84213720203287e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.38435272509587726 Order of pole (three term test) 22.180198526095683 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.38435272509587737 Order of pole (three term test) 22.819801473904327 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.5899999999999674 y1[1] (analytic) 0.09886129053309745 y1[1] (numeric) 0.09886129053311273 absolute error 1.5279444376403717e-14 relative error 1.5455436899529813e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.5664691172473115 y2[1] (numeric) 0.5664691172472837 absolute error 2.786659791809143e-14 relative error 4.9193498938663786e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.39067146019782467 Order of pole (three term test) 22.18794902630035 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.39067146019782467 Order of pole (three term test) 22.812050973699645 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.5999999999999672 y1[1] (analytic) 0.10324158366583847 y1[1] (numeric) 0.10324158366585418 absolute error 1.5709655798445965e-14 relative error 1.521640335283245e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.557479556705177 y2[1] (numeric) 0.5574795567051491 absolute error 2.786659791809143e-14 relative error 4.9986761994985004e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.39683393192457617 Order of pole (three term test) 22.195824342733875 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3968339319245761 Order of pole (three term test) 22.804175657266132 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.609999999999967 y1[1] (analytic) 0.10771155189291681 y1[1] (numeric) 0.10771155189293284 absolute error 1.6028844918025698e-14 relative error 1.488126819856893e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.5485342478386062 y2[1] (numeric) 0.5485342478385783 absolute error 2.786659791809143e-14 relative error 5.080192900970979e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4028376753696061 Order of pole (three term test) 22.20382132537468 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.402837675369606 Order of pole (three term test) 22.79617867462532 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.619999999999967 y1[1] (analytic) 0.11227074822123462 y1[1] (numeric) 0.112270748221251 absolute error 1.637578961322106e-14 relative error 1.4585980651836237e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.5396340851710313 y2[1] (numeric) 0.5396340851710034 absolute error 2.786659791809143e-14 relative error 5.16398031255928e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4086802891155857 Order of pole (three term test) 22.211936775536337 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4086802891155856 Order of pole (three term test) 22.78806322446366 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.6299999999999666 y1[1] (analytic) 0.11691871673495835 y1[1] (numeric) 0.11691871673497511 absolute error 1.6764367671839864e-14 relative error 1.4338480732595457e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.5307799587113022 y2[1] (numeric) 0.5307799587112744 absolute error 2.786659791809143e-14 relative error 5.250122477448026e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.41435943619491705 Order of pole (three term test) 22.220167447146995 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.41435943619491705 Order of pole (three term test) 22.779832552853 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.6399999999999664 y1[1] (analytic) 0.1216549926411099 y1[1] (numeric) 0.12165499264112711 absolute error 1.7208456881689926e-14 relative error 1.4145294416691954e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.5219727538646868 y2[1] (numeric) 0.5219727538646588 absolute error 2.7977620220553945e-14 relative error 5.359977127811292e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.41987284502448946 Order of pole (three term test) 22.228510048047738 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.41987284502448946 Order of pole (three term test) 22.771489951952265 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.649999999999966 y1[1] (analytic) 0.12647910231604564 y1[1] (numeric) 0.12647910231606327 absolute error 1.762479051592436e-14 relative error 1.3934942763812143e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.5132133513443301 y2[1] (numeric) 0.5132133513443021 absolute error 2.7977620220553945e-14 relative error 5.4514599332360175e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4252183103142817 Order of pole (three term test) 22.236961241309444 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.42521831031428164 Order of pole (three term test) 22.76303875869055 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.659999999999966 y1[1] (analytic) 0.13139056335281818 y1[1] (numeric) 0.13139056335283616 absolute error 1.7985612998927536e-14 relative error 1.3688664193204987e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.5045026270831847 y2[1] (numeric) 0.5045026270831569 absolute error 2.786659791809143e-14 relative error 5.5235783566091634e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4303936939494503 Order of pole (three term test) 22.245517646567496 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.43039369394945043 Order of pole (three term test) 22.754482353432504 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.6699999999999657 y1[1] (analytic) 0.13638888460941667 y1[1] (numeric) 0.136388884609435 absolute error 1.8318679906315083e-14 relative error 1.3431211758036703e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.49584145214641806 y2[1] (numeric) 0.4958414521463901 absolute error 2.7977620220553945e-14 relative error 5.642452864608902e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4353969258455451 Order of pole (three term test) 22.254175841373865 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.43539692584554496 Order of pole (three term test) 22.745824158626135 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.6799999999999655 y1[1] (analytic) 0.14147356625788066 y1[1] (numeric) 0.14147356625789934 absolute error 1.867950238931826e-14 relative error 1.3203528322223045e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.48723069264430596 y2[1] (numeric) 0.487230692644278 absolute error 2.7977620220553945e-14 relative error 5.742171140474211e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4402260047765167 Order of pole (three term test) 22.26293236256607 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.44022600477651663 Order of pole (three term test) 22.73706763743393 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.6899999999999653 y1[1] (analytic) 0.1466440998342825 y1[1] (numeric) 0.1466440998343016 absolute error 1.9095836023552692e-14 relative error 1.3021891808216113e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.47867120964562304 y2[1] (numeric) 0.4786712096455951 absolute error 2.7922109069322687e-14 relative error 5.8332543312965066e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4448789991751794 Order of pole (three term test) 22.27178370765239 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4448789991751795 Order of pole (three term test) 22.72821629234761 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.699999999999965 y1[1] (analytic) 0.1518999682895733 y1[1] (numeric) 0.15189996828959287 absolute error 1.9567680809018384e-14 relative error 1.2881951872245088e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.47016385909153635 y2[1] (numeric) 0.4701638590915085 absolute error 2.786659791809143e-14 relative error 5.926997020131671e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.449354047905813 Order of pole (three term test) 22.280726336212805 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.44935404790581307 Order of pole (three term test) 22.719273663787202 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.709999999999965 y1[1] (analytic) 0.15724064604128762 y1[1] (numeric) 0.15724064604130752 absolute error 1.990074771640593e-14 relative error 1.2656236296040448e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.46170949171001197 y2[1] (numeric) 0.46170949170998404 absolute error 2.7922109069322687e-14 relative error 6.047549286004251e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.45364936100859166 Order of pole (three term test) 22.289756671315132 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4536493610085916 Order of pole (three term test) 22.710243328684875 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.7199999999999647 y1[1] (analytic) 0.16266559902610056 y1[1] (numeric) 0.1626655990261209 absolute error 2.0344836926255994e-14 relative error 1.2507153969900887e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.4533089529307426 y2[1] (numeric) 0.45330895293071466 absolute error 2.7922109069322687e-14 relative error 6.159620031503918e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.45776322041554435 Order of pole (three term test) 22.29887110094571 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.45776322041554435 Order of pole (three term test) 22.701128899054286 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.7299999999999645 y1[1] (analytic) 0.1681742847532346 y1[1] (numeric) 0.16817428475325535 absolute error 2.0761170560490427e-14 relative error 1.234503276821049e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.4449630828006057 y2[1] (numeric) 0.4449630828005779 absolute error 2.781108676686017e-14 relative error 6.2502009361802975e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.461693980637759 Order of pole (three term test) 22.308065979454234 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.46169398063775896 Order of pole (three term test) 22.69193402054576 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.7399999999999642 y1[1] (analytic) 0.17376615235870763 y1[1] (numeric) 0.1737661523587287 absolute error 2.1066481892262345e-14 relative error 1.2123466858364076e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.4366727158996596 y2[1] (numeric) 0.4366727158996318 absolute error 2.781108676686017e-14 relative error 6.3688629388172525e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4654400694235564 Order of pole (three term test) 22.3173376290119 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4654400694235564 Order of pole (three term test) 22.6826623709881 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.749999999999964 y1[1] (analytic) 0.1794406426604187 y1[1] (numeric) 0.17944064266044024 absolute error 2.1538326677728037e-14 relative error 1.2003036969995758e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.4284386812576857 y2[1] (numeric) 0.42843868125765794 absolute error 2.7755575615628914e-14 relative error 6.4783075921511484e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46899998838736917 Order of pole (three term test) 22.326682341082492 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4689999883873692 Order of pole (three term test) 22.67331765891751 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.759999999999964 y1[1] (analytic) 0.1851971882140666 y1[1] (numeric) 0.18519718821408857 absolute error 2.195466031196247e-14 relative error 1.1854748186881441e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.4202618022712865 y2[1] (numeric) 0.4202618022712588 absolute error 2.7700064464397656e-14 relative error 6.591144927922041e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47237231360907667 Order of pole (three term test) 22.33609637790577 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4723723136090768 Order of pole (three term test) 22.663903622094235 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.7699999999999636 y1[1] (analytic) 0.19103521336989304 y1[1] (numeric) 0.19103521336991539 absolute error 2.2343238370581275e-14 relative error 1.1695874271786245e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.4121428966215467 y2[1] (numeric) 0.412142896621519 absolute error 2.7700064464397656e-14 relative error 6.72098553474123e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4755556962035541 Order of pole (three term test) 22.34557597399254 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.47555569620355415 Order of pole (three term test) 22.65442402600746 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.7799999999999634 y1[1] (analytic) 0.19695413433024744 y1[1] (numeric) 0.19695413433027015 absolute error 2.270406085358445e-14 relative error 1.1527587847186232e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.4040827761922654 y2[1] (numeric) 0.4040827761922377 absolute error 2.7700064464397656e-14 relative error 6.855047058778316e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4785488628602084 Order of pole (three term test) 22.355117337630755 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.47854886286020837 Order of pole (three term test) 22.644882662369245 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.789999999999963 y1[1] (analytic) 0.2029533592079661 y1[1] (numeric) 0.20295335920798924 absolute error 2.3148150063434514e-14 relative error 1.1405650122654353e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.3960822469887688 y2[1] (numeric) 0.39608224698874117 absolute error 2.7644553313166398e-14 relative error 6.979498203551213e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4813506163522849 Order of pole (three term test) 22.364716652402173 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4813506163522849 Order of pole (three term test) 22.63528334759783 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.799999999999963 y1[1] (analytic) 0.20903228808556062 y1[1] (numeric) 0.2090322880855842 absolute error 2.3564483697668948e-14 relative error 1.1273131014106101e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.38814210905731017 y2[1] (numeric) 0.38814210905728264 absolute error 2.7533531010703882e-14 relative error 7.093672747225292e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.483959836015743 Order of pole (three term test) 22.37437007870887 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.483959836015743 Order of pole (three term test) 22.62562992129113 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.8099999999999627 y1[1] (analytic) 0.21519031307520908 y1[1] (numeric) 0.21519031307523304 absolute error 2.3953061756287752e-14 relative error 1.1131105956389473e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.380263156405066 y2[1] (numeric) 0.38026315640503855 absolute error 2.7478019859472624e-14 relative error 7.226053693774722e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48637547819750676 Order of pole (three term test) 22.38407375530905 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.48637547819750665 Order of pole (three term test) 22.615926244690947 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.8199999999999625 y1[1] (analytic) 0.22142681837954403 y1[1] (numeric) 0.22142681837956846 absolute error 2.4424906541753444e-14 relative error 1.1030690284266794e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.37244617692073567 y2[1] (numeric) 0.3724461769207083 absolute error 2.736699755701011e-14 relative error 7.347906691718942e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48859657667291134 Order of pole (three term test) 22.39382380086144 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4885965766729113 Order of pole (three term test) 22.60617619913856 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.8299999999999623 y1[1] (analytic) 0.22774118035323232 y1[1] (numeric) 0.2277411803532571 absolute error 2.478572902475662e-14 relative error 1.0883288207391095e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.36469195229575346 y2[1] (numeric) 0.3646919522957262 absolute error 2.7255975254547593e-14 relative error 7.473698030068915e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4906222430321808 Order of pole (three term test) 22.40361631547782 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49062224303218094 Order of pole (three term test) 22.596383684522184 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.839999999999962 y1[1] (analytic) 0.2341327675653383 y1[1] (numeric) 0.23413276756536355 absolute error 2.525757381022231e-14 relative error 1.0787714198600502e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.35700125794612014 y2[1] (numeric) 0.35700125794609294 absolute error 2.7200464103316335e-14 relative error 7.619150772690422e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4924516670357802 Order of pole (three term test) 22.41344738228291 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4924516670357802 Order of pole (three term test) 22.586552617717093 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.849999999999962 y1[1] (analytic) 0.2406009408624673 y1[1] (numeric) 0.2406009408624929 absolute error 2.5590640717609858e-14 relative error 1.0636134931923654e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.34937486293486164 y2[1] (numeric) 0.34937486293483455 absolute error 2.708944180085382e-14 relative error 7.753689424961418e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4940841169384999 Order of pole (three term test) 22.423313068981063 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49408411693849996 Order of pole (three term test) 22.576686931018934 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.8599999999999617 y1[1] (analytic) 0.24714505343267956 y1[1] (numeric) 0.24714505343270554 absolute error 2.5979218776228663e-14 relative error 1.051172921140629e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.3418135298951238 y2[1] (numeric) 0.34181352989509683 absolute error 2.6978419498391304e-14 relative error 7.892730140515181e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4955189397821448 Order of pole (three term test) 22.43320942942916 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4955189397821446 Order of pole (three term test) 22.56679057057084 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.8699999999999615 y1[1] (analytic) 0.2537644508701714 y1[1] (numeric) 0.2537644508701979 absolute error 2.6478819137309983e-14 relative error 1.0434408384039902e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.33431801495390967 y2[1] (numeric) 0.33431801495388275 absolute error 2.6922908347160046e-14 relative error 8.053083334702062e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49675556165670787 Order of pole (three term test) 22.443132505214944 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4967555616567078 Order of pole (three term test) 22.55686749478506 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.8799999999999613 y1[1] (analytic) 0.26045847124071553 y1[1] (numeric) 0.26045847124074234 absolute error 2.681188604469753e-14 relative error 1.0294111731892185e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.32688906765646697 y2[1] (numeric) 0.3268890676564401 absolute error 2.6867397195928788e-14 relative error 8.219117692906197e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4977934879299273 Order of pole (three term test) 22.45307832724042 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49779348792992734 Order of pole (three term test) 22.546921672759584 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.889999999999961 y1[1] (analytic) 0.2672264451478529 y1[1] (numeric) 0.2672264451478802 absolute error 2.731148640577885e-14 relative error 1.0220353150552807e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.3195274308913346 y2[1] (numeric) 0.3195274308913079 absolute error 2.6700863742235015e-14 relative error 8.356360412547957e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49863230344513276 Order of pole (three term test) 22.463042917309384 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49863230344513304 Order of pole (three term test) 22.536957082690616 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.899999999999961 y1[1] (analytic) 0.2740676957998329 y1[1] (numeric) 0.2740676957998606 absolute error 2.7700064464397656e-14 relative error 1.01070154888406e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.31223384081605465 y2[1] (numeric) 0.312233840816028 absolute error 2.6645352591003757e-14 relative error 8.533781130630632e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49927167268730227 Order of pole (three term test) 22.47302228971867 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49927167268730244 Order of pole (three term test) 22.526977710281326 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.9099999999999606 y1[1] (analytic) 0.2809815390772914 y1[1] (numeric) 0.2809815390773195 absolute error 2.808864252301646e-14 relative error 9.996614943193808e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.30500902678355646 y2[1] (numeric) 0.30500902678353 absolute error 2.6478819137309983e-14 relative error 8.681323112479602e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49971133991726396 Order of pole (three term test) 22.483012452852385 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49971133991726396 Order of pole (three term test) 22.516987547147625 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.9199999999999604 y1[1] (analytic) 0.2879672836016621 y1[1] (numeric) 0.2879672836016906 absolute error 2.8477220581635265e-14 relative error 9.889047195037296e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.29785371126922267 y2[1] (numeric) 0.29785371126919635 absolute error 2.631228568361621e-14 relative error 8.833962676339856e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4999511292739875 Order of pole (three term test) 22.49300941077844 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4999511292739875 Order of pole (three term test) 22.50699058922156 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.92999999999996 y1[1] (analytic) 0.29502423080431395 y1[1] (numeric) 0.2950242308043429 absolute error 2.8976820942716586e-14 relative error 9.821844417225705e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.29076860979864205 y2[1] (numeric) 0.29076860979861585 absolute error 2.6201263381153694e-14 relative error 9.011035750832295e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4999909448449278 Order of pole (three term test) 22.50300916484699 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4999909448449278 Order of pole (three term test) 22.49699083515301 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.93999999999996 y1[1] (analytic) 0.3021516749964076 y1[1] (numeric) 0.30215167499643697 absolute error 2.936539900133539e-14 relative error 9.718760950666425e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.28375443087605734 y2[1] (numeric) 0.2837544308760313 absolute error 2.603472992745992e-14 relative error 9.175091943791276e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49983077070438703 Order of pole (three term test) 22.513007715289717 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49983077070438703 Order of pole (three term test) 22.486992284710276 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.9499999999999598 y1[1] (analytic) 0.3093489034394632 y1[1] (numeric) 0.309348903439493 absolute error 2.980948821118545e-14 relative error 9.636202966860977e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.27681187591351575 y2[1] (numeric) 0.2768118759134898 absolute error 2.5923707624997405e-14 relative error 9.365099506459304e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4994706709198861 Order of pole (three term test) 22.52300106281977 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49947067091988595 Order of pole (three term test) 22.476998937180234 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.9599999999999596 y1[1] (analytic) 0.31661519641663427 y1[1] (numeric) 0.31661519641666447 absolute error 3.019806626980426e-14 relative error 9.537781702071744e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.269941639160728 y2[1] (numeric) 0.26994163916070224 absolute error 2.5757174171303632e-14 relative error 9.541756600198815e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4989107895265371 Order of pole (three term test) 22.532985210231367 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49891078952653717 Order of pole (three term test) 22.467014789768633 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.9699999999999593 y1[1] (analytic) 0.32394982730467814 y1[1] (numeric) 0.3239498273047088 absolute error 3.064215547965432e-14 relative error 9.458920146555614e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.2631444076356443 y2[1] (numeric) 0.26314440763561864 absolute error 2.5646151868841116e-14 relative error 9.746037204161816e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4981513504694328 Order of pole (three term test) 22.542956163998664 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49815135046943293 Order of pole (three term test) 22.45704383600134 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.979999999999959 y1[1] (analytic) 0.3313520626466183 y1[1] (numeric) 0.3313520626466494 absolute error 3.108624468950438e-14 relative error 9.3816360885785e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.2564208610557527 y2[1] (numeric) 0.2564208610557272 absolute error 2.5479618415147343e-14 relative error 9.936640221174282e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49719265751407027 Order of pole (three term test) 22.552909935873107 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49719265751407016 Order of pole (three term test) 22.44709006412689 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.989999999999959 y1[1] (analytic) 0.33882116222508907 y1[1] (numeric) 0.3388211622251206 absolute error 3.1530333899354446e-14 relative error 9.305892728863229e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.24977167177010828 y2[1] (numeric) 0.249771671770083 absolute error 2.528532938583794e-14 relative error 1.0123377565855725e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49603509412484914 Order of pole (three term test) 22.56284254447866 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49603509412484903 Order of pole (three term test) 22.43715745552134 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.9999999999999587 y1[1] (analytic) 0.34635637913635686 y1[1] (numeric) 0.3463563791363887 absolute error 3.186340080674199e-14 relative error 9.199599812826807e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.24319750469209878 y2[1] (numeric) 0.24319750469207357 absolute error 2.5202062658991053e-14 relative error 1.0362796563598887e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.494679123311691 Order of pole (three term test) 22.57275001690431 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.494679123311691 Order of pole (three term test) 22.4272499830957 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.009999999999959 y1[1] (analytic) 0.3539569598650101 y1[1] (numeric) 0.353956959865042 absolute error 3.191891195797325e-14 relative error 9.017738193408117e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.23669901723295306 y2[1] (numeric) 0.2366990172329283 absolute error 2.475797344914099e-14 relative error 1.0459685780940456e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.493125287444842 Order of pole (three term test) 22.58262839029318 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49312528744484196 Order of pole (three term test) 22.417371609706823 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.019999999999959 y1[1] (analytic) 0.36162214435930906 y1[1] (numeric) 0.36162214435934137 absolute error 3.2307490016592055e-14 relative error 8.934046357650934e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.23027685923600227 y2[1] (numeric) 0.2302768592359777 absolute error 2.456368441983159e-14 relative error 1.0667022514258444e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4913742080379312 Order of pole (three term test) 22.592473713427637 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49137420803793114 Order of pole (three term test) 22.407526286572367 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.0299999999999585 y1[1] (analytic) 0.3693511661071923 y1[1] (numeric) 0.36935116610722507 absolute error 3.275157922644212e-14 relative error 8.867327960983619e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.22393167291169402 y2[1] (numeric) 0.2239316729116697 absolute error 2.4313884239290928e-14 relative error 1.0857724556400268e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48942658549937385 Order of pole (three term test) 22.602282048309682 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.48942658549937385 Order of pole (three term test) 22.397717951690318 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.039999999999958 y1[1] (analytic) 0.3771432522129259 y1[1] (numeric) 0.3771432522129591 absolute error 3.319566843629218e-14 relative error 8.801872562087023e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.21766409277337329 y2[1] (numeric) 0.21766409277334908 absolute error 2.4202861936828413e-14 relative error 1.1119363615949214e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48728319885221766 Order of pole (three term test) 22.612049471736153 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.48728319885221755 Order of pole (three term test) 22.387950528263847 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.049999999999958 y1[1] (analytic) 0.3849976234743926 y1[1] (numeric) 0.38499762347442623 absolute error 3.3639757646142243e-14 relative error 8.737653324340514e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.21147474557383072 y2[1] (numeric) 0.21147474557380672 absolute error 2.400857290751901e-14 relative error 1.1352926725303501e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4849449054225432 Order of pole (three term test) 22.621772076867888 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4849449054225433 Order of pole (three term test) 22.378227923132105 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.059999999999958 y1[1] (analytic) 0.39291349446101165 y1[1] (numeric) 0.3929134944610457 absolute error 3.402833570476105e-14 relative error 8.660515911127007e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.2053642502426285 y2[1] (numeric) 0.20536425024260477 absolute error 2.373101715136272e-14 relative error 1.1555573632375452e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48241264049654575 Order of pole (three term test) 22.6314459747925 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.48241264049654564 Order of pole (three term test) 22.368554025207498 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.069999999999958 y1[1] (analytic) 0.4008900735922809 y1[1] (numeric) 0.40089007359231527 absolute error 3.4361402612148595e-14 relative error 8.571277982576174e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.19933321782420788 y2[1] (numeric) 0.1993332178241843 absolute error 2.3564483697668948e-14 relative error 1.1821654190346983e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47968741694643235 Order of pole (three term test) 22.64106729607978 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.47968741694643224 Order of pole (three term test) 22.35893270392022 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.079999999999957 y1[1] (analytic) 0.4089265632169342 y1[1] (numeric) 0.408926563216969 absolute error 3.480549182199866e-14 relative error 8.5114284452914e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.19338225141678467 y2[1] (numeric) 0.19338225141676135 absolute error 2.3314683517128287e-14 relative error 1.20562685284285e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4767703248252875 Order of pole (three term test) 22.650632192329496 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.47677032482528736 Order of pole (three term test) 22.349367807670507 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.089999999999957 y1[1] (analytic) 0.4170221596927063 y1[1] (numeric) 0.41702215969274153 absolute error 3.524958103184872e-14 relative error 8.452687755927238e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.18751194611204058 y2[1] (numeric) 0.1875119461120175 absolute error 2.3092638912203256e-14 relative error 1.231528944742813e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4736625309310651 Order of pole (three term test) 22.66013683771068 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.47366253093106514 Order of pole (three term test) 22.339863162289323 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.099999999999957 y1[1] (analytic) 0.42517605346669596 y1[1] (numeric) 0.42517605346673154 absolute error 3.558264793923627e-14 relative error 8.368920979700343e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.18172288893561417 y2[1] (numeric) 0.18172288893559133 absolute error 2.2842838731662596e-14 relative error 1.25701494541813e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4703652783398866 Order of pole (three term test) 22.669577430491916 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4703652783398867 Order of pole (three term test) 22.330422569508084 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.109999999999957 y1[1] (analytic) 0.43338742915632045 y1[1] (numeric) 0.4333874291563565 absolute error 3.602673714908633e-14 relative error 8.312824674961138e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.17601565878839887 y2[1] (numeric) 0.17601565878837627 absolute error 2.2593038551121936e-14 relative error 1.2835811715071703e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46687988590882584 Order of pole (three term test) 22.67895019456196 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4668798859088257 Order of pole (three term test) 22.321049805438044 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.119999999999957 y1[1] (analytic) 0.4416554656308538 y1[1] (numeric) 0.4416554656308902 absolute error 3.6415315207705135e-14 relative error 8.245186132971334e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.17039082638865344 y2[1] (numeric) 0.17039082638863104 absolute error 2.2398749521812533e-14 relative error 1.3145513755958928e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4632077477483835 Order of pole (three term test) 22.688251380940144 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4632077477483834 Order of pole (three term test) 22.31174861905986 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.129999999999956 y1[1] (analytic) 0.4499793360935386 y1[1] (numeric) 0.4499793360935753 absolute error 3.674838211509268e-14 relative error 8.16668214903399e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.1648489542149304 y2[1] (numeric) 0.16484895421490828 absolute error 2.2121193765656244e-14 relative error 1.3419068304682471e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4593503326648626 Order of pole (three term test) 22.697477269275932 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4593503326648625 Order of pole (three term test) 22.302522730724064 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.139999999999956 y1[1] (analytic) 0.45835820816426487 y1[1] (numeric) 0.45835820816430206 absolute error 3.7192471324942744e-14 relative error 8.114280635204384e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.15939059644982911 y2[1] (numeric) 0.15939059644980713 absolute error 2.19824158875781e-14 relative error 1.3791538758999146e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4553091835728652 Order of pole (three term test) 22.706624169337015 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4553091835728652 Order of pole (three term test) 22.29337583066299 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.149999999999956 y1[1] (analytic) 0.466791243962808 y1[1] (numeric) 0.4667912439628457 absolute error 3.7692071686024065e-14 relative error 8.074716947567082e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.15401629892457713 y2[1] (numeric) 0.1540162989245555 absolute error 2.1621593404574924e-14 relative error 1.403850992105918e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.45108591687814703 Order of pole (three term test) 22.715688422485314 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4510859168781471 Order of pole (three term test) 22.284311577514693 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.159999999999956 y1[1] (analytic) 0.4752776001926159 y1[1] (numeric) 0.4752776001926539 absolute error 3.802513859341161e-14 relative error 8.000616603433688e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.14872659906444874 y2[1] (numeric) 0.14872659906442737 absolute error 2.1371793224034263e-14 relative error 1.4369852708575065e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.44668222183107625 Order of pole (three term test) 22.724666403140418 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.44668222183107636 Order of pole (three term test) 22.275333596859582 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.1699999999999555 y1[1] (analytic) 0.48381642822513726 y1[1] (numeric) 0.4838164282251756 absolute error 3.835820550079916e-14 relative error 7.928256103562837e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.14352202583502183 y2[1] (numeric) 0.14352202583500065 absolute error 2.117750419472486e-14 relative error 1.4755577808710938e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.44209985985095657 Order of pole (three term test) 22.733554520229788 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4420998598509565 Order of pole (three term test) 22.266445479770216 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.179999999999955 y1[1] (analytic) 0.49240687418468443 y1[1] (numeric) 0.4924068741847233 absolute error 3.885780586188048e-14 relative error 7.891401988694879e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.138403099689282 y2[1] (numeric) 0.13840309968926118 absolute error 2.0816681711721685e-14 relative error 1.50406181353276e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4373406638214828 Order of pole (three term test) 22.74234921862508 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.43734066382148284 Order of pole (three term test) 22.257650781374924 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.189999999999955 y1[1] (analytic) 0.5010480790338204 y1[1] (numeric) 0.5010480790338596 absolute error 3.9190872769268026e-14 relative error 7.821778868974103e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.13337033251557828 y2[1] (numeric) 0.13337033251555774 absolute error 2.0539125955565396e-14 relative error 1.54000710414112e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.43240653735761153 Order of pole (three term test) 22.751046980564194 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4324065373576115 Order of pole (three term test) 22.248953019435803 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.199999999999955 y1[1] (analytic) 0.5097391786592611 y1[1] (numeric) 0.5097391786593006 absolute error 3.952393967665557e-14 relative error 7.753757476639959e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.12842422758643401 y2[1] (numeric) 0.12842422758641378 absolute error 2.0233814623793478e-14 relative error 1.5755449734105202e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.42729945404414066 Order of pole (three term test) 22.75964432705834 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4272994540441406 Order of pole (three term test) 22.240355672941657 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.209999999999955 y1[1] (analytic) 0.5184793039582865 y1[1] (numeric) 0.5184793039583264 absolute error 3.9968028886505635e-14 relative error 7.708702851082598e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.12356527950822038 y2[1] (numeric) 0.12356527950820044 absolute error 1.9942381079829374e-14 relative error 1.6139146173745898e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4220214566463021 Order of pole (three term test) 22.768137819283538 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4220214566463022 Order of pole (three term test) 22.23186218071646 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.2199999999999545 y1[1] (analytic) 0.5272675809256502 y1[1] (numeric) 0.5272675809256905 absolute error 4.030109579389318e-14 relative error 7.64338587309733e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.11879397417169613 y2[1] (numeric) 0.11879397417167645 absolute error 1.96787031114809e-14 relative error 1.6565405146761687e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4165746562926833 Order of pole (three term test) 22.77652405995615 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.41657465629268325 Order of pole (three term test) 22.223475940043848 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.229999999999954 y1[1] (analytic) 0.5361031307409789 y1[1] (numeric) 0.5361031307410196 absolute error 4.063416270128073e-14 relative error 7.579542138677295e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.11411078870341873 y2[1] (numeric) 0.11411078870339939 absolute error 1.9345636204093353e-14 relative error 1.6953380503200187e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.41096123163080167 Order of pole (three term test) 22.784799694691714 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4109612316308017 Order of pole (three term test) 22.215200305308283 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.239999999999954 y1[1] (analytic) 0.5449850698566542 y1[1] (numeric) 0.5449850698566951 absolute error 4.0967229608668276e-14 relative error 7.517128793903246e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.10951619141803248 y2[1] (numeric) 0.10951619141801343 absolute error 1.905420266012925e-14 relative error 1.7398525654894043e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4051834279556781 Order of pole (three term test) 22.79296141334668 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.40518342795567813 Order of pole (three term test) 22.207038586653322 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.249999999999954 y1[1] (analytic) 0.5539125100861659 y1[1] (numeric) 0.5539125100862072 absolute error 4.1300296516055823e-14 relative error 7.456104667076612e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.10501064177143704 y2[1] (numeric) 0.1050106417714183 absolute error 1.8735013540549517e-14 relative error 1.784106184335829e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3992435563117455 Order of pole (three term test) 22.801005951342407 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3992435563117457 Order of pole (three term test) 22.198994048657593 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.259999999999954 y1[1] (analytic) 0.5628845586929306 y1[1] (numeric) 0.5628845586929724 absolute error 4.1744385725905886e-14 relative error 7.416154001957376e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.10059459031484252 y2[1] (numeric) 0.10059459031482407 absolute error 1.8457457784393227e-14 relative error 1.8348360211642383e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.39314399256846483 Order of pole (three term test) 22.808930090970964 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3931439925684648 Order of pole (three term test) 22.191069909029036 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.269999999999953 y1[1] (analytic) 0.5719003184795644 y1[1] (numeric) 0.5719003184796065 absolute error 4.218847493575595e-14 relative error 7.376893065546258e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.09626847864971444 y2[1] (numeric) 0.09626847864969633 absolute error 1.8110513089197866e-14 relative error 1.881250575808449e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3868871764700069 Order of pole (three term test) 22.816730662682136 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.38688717647000687 Order of pole (three term test) 22.183269337317864 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.279999999999953 y1[1] (analytic) 0.5809588878776017 y1[1] (numeric) 0.5809588878776442 absolute error 4.241051954068098e-14 relative error 7.300089632093926e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.09203273938361434 y2[1] (numeric) 0.09203273938359653 absolute error 1.7805201757425948e-14 relative error 1.934659543622801e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3804756106593878 Order of pole (three term test) 22.824404546351253 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.38047561065938784 Order of pole (three term test) 22.175595453648743 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.289999999999953 y1[1] (analytic) 0.5900593610376514 y1[1] (numeric) 0.5900593610376943 absolute error 4.285460875053104e-14 relative error 7.262762288046559e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.08788779608693897 y2[1] (numeric) 0.08788779608692152 absolute error 1.7458257062230587e-14 relative error 1.986425628987306e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3739118596774454 Order of pole (three term test) 22.83194867252718 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3739118596774454 Order of pole (three term test) 22.168051327472824 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.299999999999953 y1[1] (analytic) 0.5992008279199814 y1[1] (numeric) 0.5992008279200246 absolute error 4.318767565791859e-14 relative error 7.2075460589460275e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.08383406325056397 y2[1] (numeric) 0.08383406325054683 absolute error 1.7139067942650854e-14 relative error 2.0444038232317883e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.36719854893705706 Order of pole (three term test) 22.839360023660003 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3671985489370571 Order of pole (three term test) 22.160639976339993 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.3099999999999525 y1[1] (analytic) 0.6083823743855212 y1[1] (numeric) 0.6083823743855648 absolute error 4.3520742565306136e-14 relative error 7.15351798435367e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.07987194624439475 y2[1] (numeric) 0.07987194624437803 absolute error 1.672273430841642e-14 relative error 2.0936931043657882e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.36033836367300925 Order of pole (three term test) 22.84663563530811 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.36033836367300925 Order of pole (three term test) 22.15336436469189 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.319999999999952 y1[1] (analytic) 0.6176030822872753 y1[1] (numeric) 0.6176030822873194 absolute error 4.4075854077618715e-14 relative error 7.136598786778241e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.0760018412768304 y2[1] (numeric) 0.07600184127681398 absolute error 1.6431300764452317e-14 relative error 2.1619608799479825e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3533340478679397 Order of pole (three term test) 22.85377259732384 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.35333404786793976 Order of pole (three term test) 22.14622740267616 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.329999999999952 y1[1] (analytic) 0.6268620295621379 y1[1] (numeric) 0.6268620295621823 absolute error 4.440892098500626e-14 relative error 7.08432141216558e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.07222413535514238 y2[1] (numeric) 0.07222413535512634 absolute error 1.6042722705833512e-14 relative error 2.221241227319347e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.34618840315478094 Order of pole (three term test) 22.86076805501755 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3461884031547809 Order of pole (three term test) 22.139231944982452 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.339999999999952 y1[1] (analytic) 0.6361582903230969 y1[1] (numeric) 0.6361582903231416 absolute error 4.474198789239381e-14 relative error 7.0331533162398795e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.0685392062467749 y2[1] (numeric) 0.06853920624675922 absolute error 1.5681900222830336e-14 relative error 2.288018942963502e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.33890428769614367 Order of pole (three term test) 22.867619210299413 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3389042876961437 Order of pole (three term test) 22.132380789700584 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.349999999999952 y1[1] (analytic) 0.6454909349518232 y1[1] (numeric) 0.6454909349518683 absolute error 4.5075054799781356e-14 relative error 6.9830655024064084e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.06494742244156793 y2[1] (numeric) 0.06494742244155267 absolute error 1.5251688800788088e-14 relative error 2.3483131781726625e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.33148461504109183 Order of pole (three term test) 22.874323322798695 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3314846150410918 Order of pole (three term test) 22.1256766772013 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.3599999999999515 y1[1] (analytic) 0.654859030191631 y1[1] (numeric) 0.6548590301916765 absolute error 4.54081217071689e-14 relative error 6.9340300146553904e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.06144914311490901 y2[1] (numeric) 0.061449143114894085 absolute error 1.4925560787304448e-14 relative error 2.4289290347619436e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3239323529597596 Order of pole (three term test) 22.880877710959773 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.32393235295975936 Order of pole (three term test) 22.11912228904023 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.369999999999951 y1[1] (analytic) 0.6642616392408032 y1[1] (numeric) 0.664261639240849 absolute error 4.5852210917018965e-14 relative error 6.9027335327423544e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.05804471809181544 y2[1] (numeric) 0.0580447180918009 absolute error 1.4536982728685643e-14 relative error 2.5044454011631117e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.31625052225628386 Order of pole (three term test) 22.887279753114758 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3162505222562838 Order of pole (three term test) 22.112720246885242 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.379999999999951 y1[1] (analytic) 0.6736978218462704 y1[1] (numeric) 0.6736978218463164 absolute error 4.6074255521943996e-14 relative error 6.839009126625554e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.05473448781195256 y2[1] (numeric) 0.054734487811938425 absolute error 1.4134526882259024e-14 relative error 2.5823804053524767e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3084421955605229 Order of pole (three term test) 22.893526888532158 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.30844219556052294 Order of pole (three term test) 22.10647311146784 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.389999999999951 y1[1] (analytic) 0.6831666343976351 y1[1] (numeric) 0.6831666343976817 absolute error 4.651834473179406e-14 relative error 6.809223751509825e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.0515187832955899 y2[1] (numeric) 0.05151878329557612 absolute error 1.3780643293159756e-14 relative error 2.674877474122997e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.30051049609904545 Order of pole (three term test) 22.899616618441108 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.30051049609904545 Order of pole (three term test) 22.100383381558892 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.399999999999951 y1[1] (analytic) 0.6926671300215334 y1[1] (numeric) 0.6926671300215802 absolute error 4.6851411639181606e-14 relative error 6.763914383771193e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.0483979261104992 y2[1] (numeric) 0.04839792611048587 absolute error 1.3329615189405786e-14 relative error 2.7541707384263573e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.29245859644588174 Order of pole (three term test) 22.90554650703083 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.29245859644588174 Order of pole (three term test) 22.094453492969176 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.40999999999995 y1[1] (analytic) 0.7021983586763194 y1[1] (numeric) 0.7021983586763667 absolute error 4.729550084903167e-14 relative error 6.735347678423253e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.04537222833979848 y2[1] (numeric) 0.04537222833978549 absolute error 1.2989609388114332e-14 relative error 2.8628987077366948e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2842897172535355 Order of pole (three term test) 22.91131418242495 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.28428971725353547 Order of pole (three term test) 22.08868581757505 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.41999999999995 y1[1] (analytic) 0.7117593672470708 y1[1] (numeric) 0.7117593672471183 absolute error 4.75175454539567e-14 relative error 6.676068857055461e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.04244199255074321 y2[1] (numeric) 0.042441992550730646 absolute error 1.256633685997599e-14 relative error 2.9608263195823824e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.27600712596476695 Order of pole (three term test) 22.91691733763022 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.27600712596476684 Order of pole (three term test) 22.08308266236978 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.42999999999995 y1[1] (analytic) 0.7213491996408976 y1[1] (numeric) 0.7213491996409455 absolute error 4.785061236134425e-14 relative error 6.63348796743176e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.03960751176447053 y2[1] (numeric) 0.03960751176445838 absolute error 1.2150003225741557e-14 relative error 3.067600736444287e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.26761413550565843 Order of pole (three term test) 22.92235373145926 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2676141355056584 Order of pole (three term test) 22.07764626854074 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.43999999999995 y1[1] (analytic) 0.7309668968825522 y1[1] (numeric) 0.7309668968826003 absolute error 4.807265696626928e-14 relative error 6.57658468137078e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.03686906942669699 y2[1] (numeric) 0.036869069426685254 absolute error 1.1733669591507123e-14 relative error 3.182523935093068e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.25911410296048865 Order of pole (three term test) 22.92762118942702 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2591141029604886 Order of pole (three term test) 22.07237881057298 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.4499999999999496 y1[1] (analytic) 0.740611497210325 y1[1] (numeric) 0.7406114972103734 absolute error 4.8405723873656825e-14 relative error 6.5359131009966165e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.034226939379374266 y2[1] (numeric) 0.03422693937936303 absolute error 1.1234069230425803e-14 relative error 3.282230147985608e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2505104282289429 Order of pole (three term test) 22.932717604620553 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2505104282289429 Order of pole (three term test) 22.067282395379447 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.459999999999949 y1[1] (analytic) 0.7502820361722203 y1[1] (numeric) 0.7502820361722692 absolute error 4.884981308350689e-14 relative error 6.51086001375273e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.031681385833305487 y2[1] (numeric) 0.031681385833294676 absolute error 1.0810796702287462e-14 relative error 3.412349686711768e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24180655266620044 Order of pole (three term test) 22.937640938541733 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2418065526662004 Order of pole (three term test) 22.062359061458267 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.469999999999949 y1[1] (analytic) 0.7599775467224009 y1[1] (numeric) 0.7599775467224501 absolute error 4.9182879990894435e-14 relative error 6.471622773989611e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.02923266334172392 y2[1] (numeric) 0.029232663341713497 absolute error 1.0422218643668657e-14 relative error 3.5652648278519924e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23300595770643592 Order of pole (three term test) 22.94238922192263 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2330059577064359 Order of pole (three term test) 22.057610778077372 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.479999999999949 y1[1] (analytic) 0.7696970593178912 y1[1] (numeric) 0.7696970593179406 absolute error 4.9404924595819466e-14 relative error 6.418749298536013e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.026881016774838007 y2[1] (numeric) 0.026881016774828063 absolute error 9.943434964299058e-15 relative error 3.6990546330846446e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22411216347029334 Order of pole (three term test) 22.946960555513193 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.22411216347029336 Order of pole (three term test) 22.053039444486803 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.489999999999949 y1[1] (analytic) 0.7794396020155312 y1[1] (numeric) 0.7794396020155809 absolute error 4.973799150320701e-14 relative error 6.381250243712396e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.024626681295344843 y2[1] (numeric) 0.024626681295335365 absolute error 9.478529072737274e-15 relative error 3.8488860756601384e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21512872735688515 Order of pole (three term test) 22.95135311084095 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.21512872735688504 Order of pole (three term test) 22.04864688915904 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.4999999999999485 y1[1] (analytic) 0.78920420056917 y1[1] (numeric) 0.7892042005692199 absolute error 4.9960036108132044e-14 relative error 6.3304321076979986e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.02246988233491376 y2[1] (numeric) 0.022469882334904743 absolute error 9.017092628127443e-15 relative error 4.0129683341139094e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.206059242620879 Order of pole (three term test) 22.95556513094234 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.206059242620879 Order of pole (three term test) 22.044434869057664 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.509999999999948 y1[1] (analytic) 0.7989898785270891 y1[1] (numeric) 0.7989898785271394 absolute error 5.029310301551959e-14 relative error 6.294585747222884e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.02041083557164347 y2[1] (numeric) 0.020410835571634915 absolute error 8.555656183517613e-15 relative error 4.191722653140121e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19690733693524443 Order of pole (three term test) 22.959594931065467 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.19690733693524437 Order of pole (three term test) 22.040405068934536 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.519999999999948 y1[1] (analytic) 0.8087956573296478 y1[1] (numeric) 0.8087956573296984 absolute error 5.062616992290714e-14 relative error 6.2594512549753955e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.018449746908494435 y2[1] (numeric) 0.01844974690848634 absolute error 8.094219738907782e-15 relative error 4.3871711514812855e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18767667094023174 Order of pole (three term test) 22.96344089934402 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.18767667094023172 Order of pole (three term test) 22.036559100655982 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.529999999999948 y1[1] (analytic) 0.818620556407137 y1[1] (numeric) 0.8186205564071879 absolute error 5.084821452783217e-14 relative error 6.211450974429605e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.016586812452698774 y2[1] (numeric) 0.0165868124526911 absolute error 7.674416657721395e-15 relative error 4.626818250707791e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17837093677916532 Order of pole (three term test) 22.967101497441963 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1783709367791653 Order of pole (three term test) 22.032898502558037 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.539999999999948 y1[1] (analytic) 0.8284635932778366 y1[1] (numeric) 0.8284635932778877 absolute error 5.10702591327572e-14 relative error 6.1644542436314505e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.014822218496149508 y2[1] (numeric) 0.01482221849614233 absolute error 7.178285743592028e-15 relative error 4.84292263365082e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16899385662163455 Order of pole (three term test) 22.970575261168868 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.16899385662163457 Order of pole (three term test) 22.029424738831135 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.549999999999947 y1[1] (analytic) 0.8383237836462618 y1[1] (numeric) 0.8383237836463131 absolute error 5.129230373768223e-14 relative error 6.11843594781339e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.013156141496771911 y2[1] (numeric) 0.0131561414967652 absolute error 6.711645128554267e-15 relative error 5.101530057426857e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15954918117467676 Order of pole (three term test) 22.973860801065562 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.15954918117467667 Order of pole (three term test) 22.026139198934438 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.559999999999947 y1[1] (analytic) 0.8482001415015926 y1[1] (numeric) 0.8482001415016442 absolute error 5.162537064506978e-14 relative error 6.086460980031898e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.011588748060877507 y2[1] (numeric) 0.011588748060871252 absolute error 6.255412854372366e-15 relative error 5.397833158087227e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15004068818254288 Order of pole (three term test) 22.976956802959876 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.15004068818254288 Order of pole (three term test) 22.023043197040117 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.569999999999947 y1[1] (analytic) 0.8580916792162738 y1[1] (numeric) 0.8580916792163258 absolute error 5.1958437552457326e-14 relative error 6.055114949944841e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.010120194926503623 y2[1] (numeric) 0.010120194926497919 absolute error 5.703770789011742e-15 relative error 5.6360285848588e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14047218091565183 Order of pole (three term test) 22.97986202849236 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1404721809156518 Order of pole (three term test) 22.02013797150764 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.579999999999947 y1[1] (analytic) 0.867997407644777 y1[1] (numeric) 0.8679974076448291 absolute error 5.218048215738236e-14 relative error 6.011594239546039e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.008750628947740147 y2[1] (numeric) 0.008750628947734849 absolute error 5.297845495633169e-15 relative error 6.054245388842981e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1308474866493321 Order of pole (three term test) 22.982575315611513 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.13084748664933207 Order of pole (three term test) 22.017424684388487 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.589999999999947 y1[1] (analytic) 0.8779163362225137 y1[1] (numeric) 0.8779163362225662 absolute error 5.240252676230739e-14 relative error 5.968965902580678e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.007480187080043388 y2[1] (numeric) 0.007480187080038616 absolute error 4.772224282412196e-15 relative error 6.379819423426127e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.12117045513296247 Order of pole (three term test) 22.98509557903868 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.12117045513296246 Order of pole (three term test) 22.014904420961326 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.599999999999946 y1[1] (analytic) 0.8878474730648922 y1[1] (numeric) 0.8878474730649449 absolute error 5.2735593669694936e-14 relative error 5.939713213087055e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.006308996366541586 y2[1] (numeric) 0.006308996366537292 absolute error 4.294307964780586e-15 relative error 6.806642000230861e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11144495705012411 Order of pole (three term test) 22.987421810702084 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.11144495705012411 Order of pole (three term test) 22.01257818929792 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.609999999999946 y1[1] (analytic) 0.8977898250665041 y1[1] (numeric) 0.897789825066557 absolute error 5.295763827461997e-14 relative error 5.8986676832405754e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.005237173925329963 y2[1] (numeric) 0.005237173925326239 absolute error 3.724451302922205e-15 relative error 7.111566955813005e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1016748824703789 Order of pole (three term test) 22.989553080140073 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.10167488247037884 Order of pole (three term test) 22.010446919859927 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.619999999999946 y1[1] (analytic) 0.9077423980004344 y1[1] (numeric) 0.9077423980004876 absolute error 5.3179682879545e-14 relative error 5.8584553279309915e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.004264826937759647 y2[1] (numeric) 0.004264826937756394 absolute error 3.2534738791945017e-15 relative error 7.628618761500277e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09186413929329235 Order of pole (three term test) 22.9914885348733 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.09186413929329229 Order of pole (three term test) 22.008511465126695 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.629999999999946 y1[1] (analytic) 0.9177041966176837 y1[1] (numeric) 0.9177041966177371 absolute error 5.340172748447003e-14 relative error 5.8190566940076045e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.003392052637718912 y2[1] (numeric) 0.0033920526377162283 absolute error 2.6836172173361206e-15 relative error 7.911484590465554e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08201665168532742 Order of pole (three term test) 22.993227400745667 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.0820166516853274 Order of pole (three term test) 22.00677259925433 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.6399999999999455 y1[1] (analytic) 0.9276742247466915 y1[1] (numeric) 0.9276742247467451 absolute error 5.362377208939506e-14 relative error 5.780452949852891e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.0026189383019106227 y2[1] (numeric) 0.0026189383019084365 absolute error 2.186185260599771e-15 relative error 8.347601235985053e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0721363585102291 Order of pole (three term test) 22.99476898223401 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.07213635851022909 Order of pole (three term test) 22.005231017765983 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.649999999999945 y1[1] (analytic) 0.9376514853929534 y1[1] (numeric) 0.9376514853930072 absolute error 5.384581669432009e-14 relative error 5.74262586186319e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.0019455612411239942 y2[1] (numeric) 0.0019455612411223393 absolute error 1.654926196081874e-15 relative error 8.506163471501859e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06222721175353205 Order of pole (three term test) 22.9961126627263 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.062227211753532026 Order of pole (three term test) 22.003887337273692 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.659999999999945 y1[1] (analytic) 0.9476349808387191 y1[1] (numeric) 0.9476349808387732 absolute error 5.4067861299245124e-14 relative error 5.705557771980042e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.0013719887925039975 y2[1] (numeric) 0.00137198879250287 absolute error 1.1275702593849246e-15 relative error 8.218509258570633e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0522931749418186 Order of pole (three term test) 22.997257904768244 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.05229317494181859 Order of pole (three term test) 22.00274209523176 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.669999999999945 y1[1] (analytic) 0.9576237127427635 y1[1] (numeric) 0.9576237127428179 absolute error 5.440092820663267e-14 relative error 5.680825096824417e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.0008982783128175242 y2[1] (numeric) 0.000898278312816915 absolute error 6.092132007196049e-16 relative error 6.782009451043712e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04233822155736142 Order of pole (three term test) 22.9982042502783 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.0423382215573614 Order of pole (three term test) 22.001795749721705 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.679999999999945 y1[1] (analytic) 0.9676166822402202 y1[1] (numeric) 0.9676166822402749 absolute error 5.46229728115577e-14 relative error 5.6451044937645066e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.0005244771727177522 y2[1] (numeric) 0.0005244771727176859 absolute error 6.624475273886432e-17 relative error 1.2630626495257209e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.03236633344878341 Order of pole (three term test) 22.998951320730878 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.03236633344878342 Order of pole (three term test) 22.001048679269132 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.689999999999944 y1[1] (analytic) 0.9776128900424669 y1[1] (numeric) 0.9776128900425217 absolute error 5.484501741648273e-14 relative error 5.6100955680013896e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.0002506227520072679 y2[1] (numeric) 0.0002506227520076929 absolute error 4.2500725161431774e-16 relative error 1.695804743226157e-10% Correct digits 12 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.02238149923837133 Order of pole (three term test) 22.999498817307757 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.02238149923837132 Order of pole (three term test) 22.000501182692247 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.699999999999944 y1[1] (analytic) 0.9876113365370535 y1[1] (numeric) 0.9876113365371085 absolute error 5.5067062021407764e-14 relative error 5.575782697522908e-12% Correct digits 14 h 0.01 y2[1] (analytic) 7.674243589983476e-05 y2[1] (numeric) 7.67424359007948e-05 absolute error 9.60033918681602e-16 relative error 1.25098181654626e-09% Correct digits 11 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.01238771272667981 Order of pole (three term test) 22.999846521017602 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.012387712726679809 Order of pole (three term test) 22.000153478982398 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.709999999999944 y1[1] (analytic) 0.9976110218876625 y1[1] (numeric) 0.9976110218877178 absolute error 5.5289106626332796e-14 relative error 5.542150739445089e-12% Correct digits 14 h 0.01 y2[1] (analytic) 2.853612282138762e-06 y2[1] (numeric) 2.8536122837031575e-06 absolute error 1.5643953146793343e-15 relative error 5.4821579107685616e-08% Correct digits 10 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.002388971295064947 Order of pole (three term test) 22.99999429278358 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.0023889712950649466 Order of pole (three term test) 22.00000570721642 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.719999999999944 y1[1] (analytic) 1.0076109461340919 y1[1] (numeric) 1.0076109461341474 absolute error 5.551115123125783e-14 relative error 5.5091850127509886e-12% Correct digits 14 h 0.01 y2[1] (analytic) 2.8963669975068385e-05 y2[1] (numeric) 2.8963669977205852e-05 absolute error 2.1374673136054928e-15 relative error 7.379822085548557e-09% Correct digits 11 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.007610725693215352 Order of pole (three term test) 22.99994207349895 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.007610725693215347 Order of pole (three term test) 22.000057926501054 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.729999999999944 y1[1] (analytic) 1.0176101092922505 y1[1] (numeric) 1.017610109292306 absolute error 5.551115123125783e-14 relative error 5.455051077456957e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.00015506999799463905 y2[1] (numeric) 0.00015506999799729115 absolute error 2.6520940391711045e-15 relative error 1.7102560607905537e-09% Correct digits 11 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.017607378492693358 Order of pole (three term test) 22.99968988405071 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.01760737849269336 Order of pole (three term test) 22.000310115949286 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.739999999999943 y1[1] (analytic) 1.0276075114541547 y1[1] (numeric) 1.0276075114542105 absolute error 5.573319583618286e-14 relative error 5.4235878207347376e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.0003811599858130066 y2[1] (numeric) 0.0003811599858162454 absolute error 3.2388371498659474e-15 relative error 8.497316797191009e-10% Correct digits 12 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.02759698857553626 Order of pole (three term test) 22.9992378253113 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.02759698857553626 Order of pole (three term test) 22.0007621746887 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.749999999999943 y1[1] (analytic) 1.0376021528879198 y1[1] (numeric) 1.0376021528879757 absolute error 5.595524044110789e-14 relative error 5.392745214085161e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.0007072110246199026 y2[1] (numeric) 0.0007072110246236949 absolute error 3.7923223589197974e-15 relative error 5.362363180011253e-10% Correct digits 12 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.037575560230903915 Order of pole (three term test) 22.998586078098192 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.037575560230903894 Order of pole (three term test) 22.001413921901804 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.759999999999943 y1[1] (analytic) 1.047593034137731 y1[1] (numeric) 1.0475930341377873 absolute error 5.617728504603292e-14 relative error 5.362510365704386e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.0011331905095831596 y2[1] (numeric) 0.0011331905095874673 absolute error 4.307752071719406e-15 relative error 3.801436771036848e-10% Correct digits 12 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.047539102163180004 Order of pole (three term test) 22.997734903101563 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.04753910216317998 Order of pole (three term test) 22.002265096898437 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.769999999999943 y1[1] (analytic) 1.0575791561237893 y1[1] (numeric) 1.0575791561238457 absolute error 5.639932965095795e-14 relative error 5.3328707666356875e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.001659055843109103 y2[1] (numeric) 0.0016590558431140484 absolute error 4.94547978957538e-15 relative error 2.980900136735274e-10% Correct digits 12 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.05748362908843698 Order of pole (three term test) 22.996684640780074 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.05748362908843696 Order of pole (three term test) 22.003315359219933 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.7799999999999425 y1[1] (analytic) 1.0675595202422177 y1[1] (numeric) 1.067559520242274 absolute error 5.639932965095795e-14 relative error 5.283015005866985e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.0022847544391028096 y2[1] (numeric) 0.0022847544391083044 absolute error 5.4947366101565365e-15 relative error 2.40495718757165e-10% Correct digits 12 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0674051633284967 Order of pole (three term test) 22.99543571122463 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.06740516332849669 Order of pole (three term test) 22.004564288775367 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.789999999999942 y1[1] (analytic) 1.0775331284649212 y1[1] (numeric) 1.0775331284649778 absolute error 5.6621374255882984e-14 relative error 5.2547223616731964e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.0030102237282260136 y2[1] (numeric) 0.0030102237282320487 absolute error 6.035102972923312e-15 relative error 2.0048685804758843e-10% Correct digits 12 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.07729973640194877 Order of pole (three term test) 22.993988613990435 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.07729973640194879 Order of pole (three term test) 22.00601138600957 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.799999999999942 y1[1] (analytic) 1.0874989834393889 y1[1] (numeric) 1.0874989834394457 absolute error 5.684341886080802e-14 relative error 5.226985930693162e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.0038353911641542116 y2[1] (numeric) 0.0038353911641609267 absolute error 6.71511457550622e-15 relative error 1.7508291300939708e-10% Correct digits 12 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08716339061148934 Order of pole (three term test) 22.99234392789706 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.08716339061148934 Order of pole (three term test) 22.00765607210294 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.809999999999942 y1[1] (analytic) 1.0974560885884284 y1[1] (numeric) 1.0974560885884852 absolute error 5.684341886080802e-14 relative error 5.179562030032677e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.0047601742308317485 y2[1] (numeric) 0.0047601742308389814 absolute error 7.232929533085297e-15 relative error 1.5194673939112272e-10% Correct digits 12 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09699218062694824 Order of pole (three term test) 22.990502310797034 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.09699218062694825 Order of pole (three term test) 22.00949768920297 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.819999999999942 y1[1] (analytic) 1.107403448209822 y1[1] (numeric) 1.1074034482098791 absolute error 5.706546346573305e-14 relative error 5.1530870305652806e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.005784480450722329 y2[1] (numeric) 0.005784480450730194 absolute error 7.865236240078843e-15 relative error 1.3597135139590077e-10% Correct digits 12 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10678217506336841 Order of pole (three term test) 22.98846449931263 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1067821750633684 Order of pole (three term test) 22.011535500687373 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.8299999999999415 y1[1] (analytic) 1.1173400675758973 y1[1] (numeric) 1.1173400675759546 absolute error 5.728750807065808e-14 relative error 5.127132708571441e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.00690820739405773 y2[1] (numeric) 0.006908207394066165 absolute error 8.434225540199236e-15 relative error 1.2208992954458994e-10% Correct digits 12 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11652945805350656 Order of pole (three term test) 22.986231308541267 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.11652945805350656 Order of pole (three term test) 22.013768691458733 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.839999999999941 y1[1] (analytic) 1.1272649530329981 y1[1] (numeric) 1.1272649530330554 absolute error 5.728750807065808e-14 relative error 5.08199140907569e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.008131242689079943 y2[1] (numeric) 0.008131242689088995 absolute error 9.05178709764698e-15 relative error 1.1132107900067113e-10% Correct digits 12 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1262301308141285 Order of pole (three term test) 22.9838036317295 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.12623013081412848 Order of pole (three term test) 22.01619636827051 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.849999999999941 y1[1] (analytic) 1.1371771121008492 y1[1] (numeric) 1.1371771121009067 absolute error 5.750955267558311e-14 relative error 5.05722038050331e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.009453464033278736 y2[1] (numeric) 0.00945346403328837 absolute error 9.634654185575187e-15 relative error 1.0191665353206627e-10% Correct digits 12 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13588031320547098 Order of pole (three term test) 22.981182439915663 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.13588031320547092 Order of pole (three term test) 22.018817560084344 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.859999999999941 y1[1] (analytic) 1.1470755535718042 y1[1] (numeric) 1.1470755535718618 absolute error 5.750955267558311e-14 relative error 5.013580186283967e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.010874739205621431 y2[1] (numeric) 0.010874739205631721 absolute error 1.029037965949442e-14 relative error 9.462645002259052e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14547614528324437 Order of pole (three term test) 22.97836878154153 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.14547614528324435 Order of pole (three term test) 22.021631218458474 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.869999999999941 y1[1] (analytic) 1.1569592876099646 y1[1] (numeric) 1.1569592876100223 absolute error 5.773159728050814e-14 relative error 4.989941988345115e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.012394926079775326 y2[1] (numeric) 0.012394926079786206 absolute error 1.0880185641326534e-14 relative error 8.777935077063204e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15501378884256087 Order of pole (three term test) 22.975363782032957 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1550137888425608 Order of pole (three term test) 22.02463621796705 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.87999999999994 y1[1] (analytic) 1.166827325850163 y1[1] (numeric) 1.1668273258502209 absolute error 5.795364188543317e-14 relative error 4.966771055280826e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.014013872638319769 y2[1] (numeric) 0.014013872638331228 absolute error 1.1459583282302788e-14 relative error 8.177313707680995e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16448942895316307 Order of pole (three term test) 22.972168643349665 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.16448942895316304 Order of pole (three term test) 22.027831356650335 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.88999999999994 y1[1] (analytic) 1.1766786814967987 y1[1] (numeric) 1.1766786814968566 absolute error 5.795364188543317e-14 relative error 4.9251883965224065e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.015731416987948 y2[1] (numeric) 0.015731416987960052 absolute error 1.2052858711086856e-14 relative error 7.66164848361764e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17389927548534703 Order of pole (three term test) 22.96878464350453 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.17389927548534706 Order of pole (three term test) 22.031215356495466 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.89999999999994 y1[1] (analytic) 1.1865123694225164 y1[1] (numeric) 1.1865123694225743 absolute error 5.795364188543317e-14 relative error 4.884368960573045e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.01754738737565631 y2[1] (numeric) 0.017547387375668994 absolute error 1.2684298056342413e-14 relative error 7.228596362977365e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18323956462596314 Order of pole (three term test) 22.96521313605238 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1832395646259631 Order of pole (three term test) 22.034786863947627 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.90999999999994 y1[1] (analytic) 1.1963274062667184 y1[1] (numeric) 1.1963274062667764 absolute error 5.795364188543317e-14 relative error 4.84429610003539e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.019461602205919304 y2[1] (numeric) 0.019461602205932585 absolute error 1.3281042932078435e-14 relative error 6.824228956873328e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1925065603838904 Order of pole (three term test) 22.961455549548553 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.19250656038389038 Order of pole (three term test) 22.03854445045144 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.9199999999999395 y1[1] (analytic) 1.2061228105338992 y1[1] (numeric) 1.2061228105339574 absolute error 5.81756864903582e-14 relative error 4.82336342387939e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.021473870058849043 y2[1] (numeric) 0.021473870058862976 absolute error 1.3933298959045715e-14 relative error 6.488489927927091e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20169655608438425 Order of pole (three term test) 22.957513386977578 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.20169655608438428 Order of pole (three term test) 22.042486613022422 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.929999999999939 y1[1] (analytic) 1.2158976026917951 y1[1] (numeric) 1.2158976026918533 absolute error 5.81756864903582e-14 relative error 4.78458764632539e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.023583989709337172 y2[1] (numeric) 0.023583989709351758 absolute error 1.4585554986012994e-14 relative error 6.184515497917812e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2108058758516956 Order of pole (three term test) 22.95338822515191 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.21080587585169558 Order of pole (three term test) 22.04661177484809 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.939999999999939 y1[1] (analytic) 1.225650805269336 y1[1] (numeric) 1.2256508052693942 absolute error 5.81756864903582e-14 relative error 4.746513953260458e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.02579175014717705 y2[1] (numeric) 0.02579175014719231 absolute error 1.5258627694691995e-14 relative error 5.916088519631569e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21983087607937402 Order of pole (three term test) 22.94908171408127 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.21983087607937396 Order of pole (three term test) 22.050918285918726 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.949999999999939 y1[1] (analytic) 1.2353814429543917 y1[1] (numeric) 1.2353814429544498 absolute error 5.81756864903582e-14 relative error 4.709127437695044e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.02809693059816476 y2[1] (numeric) 0.028096930598180636 absolute error 1.587618925213974e-14 relative error 5.650506626220852e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22876794688765983 Order of pole (three term test) 22.944595576312675 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.22876794688765978 Order of pole (three term test) 22.055404423687317 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.959999999999939 y1[1] (analytic) 1.2450885426913023 y1[1] (numeric) 1.2450885426913607 absolute error 5.839773109528323e-14 relative error 4.690247246919042e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.03049930054617611 y2[1] (numeric) 0.030499300546192622 absolute error 1.651109804434725e-14 relative error 5.413598918227438e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23761351356738922 Order of pole (three term test) 22.939931606241426 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.23761351356738922 Order of pole (three term test) 22.060068393758574 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.9699999999999385 y1[1] (analytic) 1.2547711337781837 y1[1] (numeric) 1.2547711337782421 absolute error 5.839773109528323e-14 relative error 4.654054394720136e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.03299861975621832 y2[1] (numeric) 0.032998619756235435 absolute error 1.7118251260939132e-14 relative error 5.187565839844965e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24636403800982978 Order of pole (three term test) 22.935091669393348 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.24636403800982973 Order of pole (three term test) 22.064908330606645 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.979999999999938 y1[1] (analytic) 1.2644282479639957 y1[1] (numeric) 1.2644282479640543 absolute error 5.861977570020827e-14 relative error 4.63606976470186e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.03559463829845311 y2[1] (numeric) 0.03559463829847082 absolute error 1.7714996136675154e-14 relative error 4.9768720749846816e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.25501602012187624 Order of pole (three term test) 22.930077701678663 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.25501602012187624 Order of pole (three term test) 22.069922298321337 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.989999999999938 y1[1] (analytic) 1.2740589195453675 y1[1] (numeric) 1.2740589195454262 absolute error 5.861977570020827e-14 relative error 4.601025494262543e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.038287096573189516 y2[1] (numeric) 0.03828709657320791 absolute error 1.8395007739258062e-14 relative error 4.804492736631051e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2635659992260423 Order of pole (three term test) 22.924891708617594 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2635659992260423 Order of pole (three term test) 22.07510829138241 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.999999999999938 y1[1] (analytic) 1.2836621854631667 y1[1] (numeric) 1.283662185463225 absolute error 5.839773109528323e-14 relative error 4.5493068002320535e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.041075725336843893 y2[1] (numeric) 0.04107572533686293 absolute error 1.9033385978417527e-14 relative error 4.633730949930435e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.27201055544468433 Order of pole (three term test) 22.91953576453823 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.27201055544468433 Order of pole (three term test) 22.080464235461772 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.009999999999938 y1[1] (analytic) 1.2932370853988036 y1[1] (numeric) 1.2932370853988622 absolute error 5.861977570020827e-14 relative error 4.5327942078100335e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.0439602457288637 y2[1] (numeric) 0.04396024572888336 absolute error 1.9657886429769178e-14 relative error 4.4717417074996185e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.28034631106790764 Order of pole (three term test) 22.914012011746788 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2803463110679075 Order of pole (three term test) 22.085987988253216 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.019999999999937 y1[1] (analytic) 1.3027826618702643 y1[1] (numeric) 1.3027826618703227 absolute error 5.839773109528323e-14 relative error 4.482538247127723e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.04694036929961343 y2[1] (numeric) 0.046940369299633765 absolute error 2.0337898032352086e-14 relative error 4.3327094217214815e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.28856993190460467 Order of pole (three term test) 22.908322659670723 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.28856993190460456 Order of pole (three term test) 22.091677340329273 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.029999999999937 y1[1] (analytic) 1.312297960327856 y1[1] (numeric) 1.3122979603279143 absolute error 5.839773109528323e-14 relative error 4.450035956825958e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.05001579803921952 y2[1] (numeric) 0.05001579803924049 absolute error 2.097627627151155e-14 relative error 4.193930136846594e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.296678128616088 Order of pole (three term test) 22.902469983975028 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.296678128616088 Order of pole (three term test) 22.097530016024976 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.039999999999937 y1[1] (analytic) 1.321782029249662 y1[1] (numeric) 1.3217820292497207 absolute error 5.861977570020827e-14 relative error 4.434904878642134e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.05318622440737086 y2[1] (numeric) 0.053186224407392436 absolute error 2.1573021147247573e-14 relative error 4.056129456005878e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.30466765803177986 Order of pole (three term test) 22.896456325651936 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3046676580317798 Order of pole (three term test) 22.103543674348074 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.049999999999937 y1[1] (analytic) 1.3312339202366943 y1[1] (numeric) 1.3312339202367527 absolute error 5.839773109528323e-14 relative error 4.386737011997116e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.05645133136407254 y2[1] (numeric) 0.05645133136409479 absolute error 2.2246093855926574e-14 relative error 3.9407562795028623e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.31253532444644067 Order of pole (three term test) 22.89028409008459 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.31253532444644067 Order of pole (three term test) 22.109715909915412 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.0599999999999365 y1[1] (analytic) 1.3406526881077299 y1[1] (numeric) 1.3406526881077885 absolute error 5.861977570020827e-14 relative error 4.3724803761776214e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.0598107924013499 y2[1] (numeric) 0.0598107924013728 absolute error 2.2898349882893854e-14 relative error 3.828464556904458e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3202779808984049 Order of pole (three term test) 22.883955746084933 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3202779808984049 Order of pole (three term test) 22.116044253915067 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.069999999999936 y1[1] (analytic) 1.3500373909938312 y1[1] (numeric) 1.3500373909938896 absolute error 5.839773109528323e-14 relative error 4.3256380515723114e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.06326427157589865 y2[1] (numeric) 0.06326427157592228 absolute error 2.363387263670802e-14 relative error 3.7357377312649965e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.32789253042832595 Order of pole (three term test) 22.877473824906186 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.327892530428326 Order of pole (three term test) 22.122526175093814 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.079999999999936 y1[1] (analytic) 1.35938709043253 y1[1] (numeric) 1.3593870904325884 absolute error 5.839773109528323e-14 relative error 4.29588683799419e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.06681142354267944 y2[1] (numeric) 0.06681142354270365 absolute error 2.4216739724636227e-14 relative error 3.62464058398134e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3353759273179181 Order of pole (three term test) 22.870840919230396 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3353759273179181 Order of pole (three term test) 22.129159080769604 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.089999999999936 y1[1] (analytic) 1.3687008514616736 y1[1] (numeric) 1.368700851461732 absolute error 5.839773109528323e-14 relative error 4.266654107281271e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.07045189358945125 y2[1] (numeric) 0.0704518935894762 absolute error 2.4952262478450393e-14 relative error 3.541744757615215e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3427251783082019 Order of pole (three term test) 22.86405968213139 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3427251783082019 Order of pole (three term test) 22.13594031786861 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.099999999999936 y1[1] (analytic) 1.377977742712921 y1[1] (numeric) 1.3779777427129793 absolute error 5.839773109528323e-14 relative error 4.23792992333182e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.07418531767224334 y2[1] (numeric) 0.07418531767226898 absolute error 2.5632274081033302e-14 relative error 3.45516806900777e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.34993734379677094 Order of pole (three term test) 22.8571328260136 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3499373437967709 Order of pole (three term test) 22.142867173986396 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.1099999999999355 y1[1] (analytic) 1.3872168365048774 y1[1] (numeric) 1.3872168365049358 absolute error 5.839773109528323e-14 relative error 4.209704608431482e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.07801132245175857 y2[1] (numeric) 0.07801132245178485 absolute error 2.628453010800058e-14 relative error 3.3693224626790133e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.35700953901359034 Order of pole (three term test) 22.850063121527107 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.35700953901359034 Order of pole (three term test) 22.14993687847289 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.119999999999935 y1[1] (analytic) 1.3964172089358629 y1[1] (numeric) 1.3964172089359213 absolute error 5.839773109528323e-14 relative error 4.181968735531777e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.0819295253307073 y2[1] (numeric) 0.08192952533073422 absolute error 2.6922908347160046e-14 relative error 3.28610574008407e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3639389351748679 Order of pole (three term test) 22.84285339645945 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.36393893517486786 Order of pole (three term test) 22.157146603540546 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.129999999999935 y1[1] (analytic) 1.4055779399763013 y1[1] (numeric) 1.4055779399763597 absolute error 5.839773109528323e-14 relative error 4.154713120801245e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.0859395344920667 y2[1] (numeric) 0.08593953449209434 absolute error 2.7630675525358583e-14 relative error 3.215129764044654e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.37072276061452974 Order of pole (three term test) 22.835506534604534 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.37072276061452974 Order of pole (three term test) 22.16449346539547 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.139999999999935 y1[1] (analytic) 1.4146981135607228 y1[1] (numeric) 1.414698113560781 absolute error 5.81756864903582e-14 relative error 4.1122332696078156e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.09004094893826242 y2[1] (numeric) 0.09004094893829072 absolute error 2.8296809340133677e-14 relative error 3.1426600534314335e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.37735830189285036 Order of pole (three term test) 22.82802547460913 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.37735830189285036 Order of pole (three term test) 22.171974525390873 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.149999999999935 y1[1] (analytic) 1.4237768176793688 y1[1] (numeric) 1.4237768176794268 absolute error 5.795364188543317e-14 relative error 4.070416175190471e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.09423335853126769 y2[1] (numeric) 0.0942333585312966 absolute error 2.8907432003677513e-14 relative error 3.067643184349171e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3838429048817905 Order of pole (three term test) 22.820413208797497 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.38384290488179046 Order of pole (three term test) 22.179586791202507 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.159999999999934 y1[1] (analytic) 1.4328131444693928 y1[1] (numeric) 1.4328131444694507 absolute error 5.795364188543317e-14 relative error 4.0447452697605506e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.09851634403361675 y2[1] (numeric) 0.09851634403364631 absolute error 2.955968803064479e-14 relative error 3.000485687994891e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.39017397582661534 Order of pole (three term test) 22.812672781974467 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3901739758266153 Order of pole (three term test) 22.187327218025533 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.169999999999934 y1[1] (analytic) 1.4418061903056465 y1[1] (numeric) 1.4418061903057042 absolute error 5.773159728050814e-14 relative error 4.004116341619376e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.10288947715032859 y2[1] (numeric) 0.1028894771503588 absolute error 3.021194405761207e-14 relative error 2.9363492647037505e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.39634898238335975 Order of pole (three term test) 22.804807290207563 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.39634898238335975 Order of pole (three term test) 22.195192709792444 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.179999999999934 y1[1] (analytic) 1.45075505589104 y1[1] (numeric) 1.4507550558910978 absolute error 5.773159728050814e-14 relative error 3.97941727282487e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.10735232057173572 y2[1] (numeric) 0.10735232057176664 absolute error 3.091971123581061e-14 relative error 2.8802089299177493e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.40236545463173345 Order of pole (three term test) 22.79681987958861 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4023654546317334 Order of pole (three term test) 22.20318012041139 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.189999999999934 y1[1] (analytic) 1.4596588463464726 y1[1] (numeric) 1.45965884634653 absolute error 5.750955267558311e-14 relative error 3.939931088660173e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.11190442801721512 y2[1] (numeric) 0.1119044280172467 absolute error 3.1585845050585704e-14 relative error 2.822573298504918e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.40822098606305557 Order of pole (three term test) 22.78871374497537 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4082209860630555 Order of pole (three term test) 22.211286255024625 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.199999999999934 y1[1] (analytic) 1.4685166713003182 y1[1] (numeric) 1.4685166713003757 absolute error 5.750955267558311e-14 relative error 3.916166142306065e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.11654534427981555 y2[1] (numeric) 0.11654534427984788 absolute error 3.232136780439987e-14 relative error 2.773286912843038e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.41391323454282647 Order of pole (three term test) 22.780492128713618 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.41391323454282636 Order of pole (three term test) 22.219507871286382 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.209999999999933 y1[1] (analytic) 1.477327644977463 y1[1] (numeric) 1.4773276449775203 absolute error 5.728750807065808e-14 relative error 3.877779466553746e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.12127460527177836 y2[1] (numeric) 0.1212746052718113 absolute error 3.294586825575152e-14 relative error 2.7166337240941166e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.41943992324754964 Order of pole (three term test) 22.772158319340214 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4194399232475496 Order of pole (three term test) 22.22784168065979 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.219999999999933 y1[1] (analytic) 1.4860908862878819 y1[1] (numeric) 1.486090886287939 absolute error 5.706546346573305e-14 relative error 3.8399712959869714e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.1260917380709452 y2[1] (numeric) 0.12609173807097884 absolute error 3.3639757646142243e-14 relative error 2.6678796058164347e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4247988415754315 Order of pole (three term test) 22.7637156502678 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4247988415754314 Order of pole (three term test) 22.2362843497322 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.229999999999933 y1[1] (analytic) 1.4948055189147464 y1[1] (numeric) 1.4948055189148033 absolute error 5.684341886080802e-14 relative error 3.802730063645823e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.1309962609680505 y2[1] (numeric) 0.1309962609680848 absolute error 3.430589146091734e-14 relative error 2.6188450882032745e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.42998784603059254 Order of pole (three term test) 22.75516749845145 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.42998784603059237 Order of pole (three term test) 22.244832501548547 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.239999999999933 y1[1] (analytic) 1.5034706714020558 y1[1] (numeric) 1.5034706714021127 absolute error 5.684341886080802e-14 relative error 3.780813283693716e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.13598768351489166 y2[1] (numeric) 0.1359876835149266 absolute error 3.49442697000768e-14 relative error 2.5696643105366337e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.435004861080436 Order of pole (three term test) 22.746517283037903 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.43500486108043585 Order of pole (three term test) 22.253482716962086 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.2499999999999325 y1[1] (analytic) 1.5120854772417827 y1[1] (numeric) 1.5120854772418393 absolute error 5.6621374255882984e-14 relative error 3.744588193464226e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.14106550657337336 y2[1] (numeric) 0.14106550657340905 absolute error 3.569367024169878e-14 relative error 2.5302904380195305e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.43984787998583474 Order of pole (three term test) 22.73776846399799 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.43984787998583474 Order of pole (three term test) 22.262231536002 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.259999999999932 y1[1] (analytic) 1.520649074960522 y1[1] (numeric) 1.520649074960578 absolute error 5.617728504603292e-14 relative error 3.69429646662504e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.14622922236542146 y2[1] (numeric) 0.1462292223654578 absolute error 3.633204848085825e-14 relative error 2.484595615920448e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4445149656037992 Order of pole (three term test) 22.72892454074269 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4445149656037992 Order of pole (three term test) 22.271075459257307 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.269999999999932 y1[1] (analytic) 1.5291606082056375 y1[1] (numeric) 1.5291606082056937 absolute error 5.617728504603292e-14 relative error 3.673733468190305e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.1514783145237597 y2[1] (numeric) 0.1514783145237967 absolute error 3.699818229563334e-14 relative error 2.4424738558752642e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4490042511623095 Order of pole (three term test) 22.719989050723374 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4490042511623096 Order of pole (three term test) 22.280010949276615 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.279999999999932 y1[1] (analytic) 1.5376192258308987 y1[1] (numeric) 1.5376192258309545 absolute error 5.573319583618286e-14 relative error 3.6246422326090356e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.1568122581435465 y2[1] (numeric) 0.15681225814358418 absolute error 3.7692071686024065e-14 relative error 2.4036431929652215e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.45331394100699857 Order of pole (three term test) 22.710965568016928 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4533139410069984 Order of pole (three term test) 22.289034431983072 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.289999999999932 y1[1] (analytic) 1.546024081981591 y1[1] (numeric) 1.5460240819816466 absolute error 5.573319583618286e-14 relative error 3.604937108401814e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.16223051983486492 y2[1] (numeric) 0.1622305198349032 absolute error 3.827493877395227e-14 relative error 2.3592933569412515e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.45744231131939 Order of pole (three term test) 22.701857701896103 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.45744231131938984 Order of pole (three term test) 22.298142298103897 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.299999999999931 y1[1] (analytic) 1.5543743361791038 y1[1] (numeric) 1.5543743361791593 absolute error 5.551115123125783e-14 relative error 3.571285882634485e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.16773255777606078 y2[1] (numeric) 0.16773255777609983 absolute error 3.905209489118988e-14 relative error 2.3282358183155004e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.461387710806403 Order of pole (three term test) 22.692669095385916 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.46138771080640295 Order of pole (three term test) 22.307330904614084 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.309999999999931 y1[1] (analytic) 1.562669153404976 y1[1] (numeric) 1.562669153405031 absolute error 5.5067062021407764e-14 relative error 3.5239104772382214e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.17331782176792532 y2[1] (numeric) 0.17331782176796495 absolute error 3.963496197911809e-14 relative error 2.2868370704652514e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46514856136084765 Order of pole (three term test) 22.683403423806464 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.46514856136084765 Order of pole (three term test) 22.316596576193536 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.319999999999931 y1[1] (analytic) 1.5709077041843966 y1[1] (numeric) 1.5709077041844517 absolute error 5.5067062021407764e-14 relative error 3.505429496254089e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.17898575328871347 y2[1] (numeric) 0.17898575328875377 absolute error 4.030109579389318e-14 relative error 2.251637074649477e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4687233586926462 Order of pole (three term test) 22.67406439330283 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.46872335869264625 Order of pole (three term test) 22.325935606697165 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.329999999999931 y1[1] (analytic) 1.579089164669154 y1[1] (numeric) 1.5790891646692087 absolute error 5.46229728115577e-14 relative error 3.4591442987326266e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.18473578554999637 y2[1] (numeric) 0.18473578555003745 absolute error 4.107825191113079e-14 relative error 2.2236217952484086e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4721106729305292 Order of pole (three term test) 22.66465573936272 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.47211067293052916 Order of pole (three term test) 22.335344260637285 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.339999999999931 y1[1] (analytic) 1.5872127167200172 y1[1] (numeric) 1.5872127167200716 absolute error 5.440092820663267e-14 relative error 3.427450374707963e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.19056734355333982 y2[1] (numeric) 0.19056734355338154 absolute error 4.171663015029026e-14 relative error 2.1890754928120077e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4753091491939647 Order of pole (three term test) 22.65518122532223 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4753091491939647 Order of pole (three term test) 22.34481877467777 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.34999999999993 y1[1] (analytic) 1.5952775479885504 y1[1] (numeric) 1.5952775479886048 absolute error 5.440092820663267e-14 relative error 3.410123102103805e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.19647984414780295 y2[1] (numeric) 0.19647984414784533 absolute error 4.238276396506535e-14 relative error 2.1571049258967603e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4783175081350939 Order of pole (three term test) 22.645644640860677 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4783175081350937 Order of pole (three term test) 22.354355359139326 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.35999999999993 y1[1] (analytic) 1.603282851998348 y1[1] (numeric) 1.603282851998402 absolute error 5.395683899678261e-14 relative error 3.3653973738651452e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.20247269608825336 y2[1] (numeric) 0.20247269608829643 absolute error 4.3076653355456074e-14 relative error 2.127529004536983e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4811345464504504 Order of pole (three term test) 22.636049800484674 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4811345464504504 Order of pole (three term test) 22.363950199515326 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.36999999999993 y1[1] (analytic) 1.6112278282256796 y1[1] (numeric) 1.6112278282257333 absolute error 5.3734794391857577e-14 relative error 3.335021494199957e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.20854530009449113 y2[1] (numeric) 0.20854530009453484 absolute error 4.371503159461554e-14 relative error 2.096188769289378e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48375913736226883 Order of pole (three term test) 22.62640054200245 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.48375913736226867 Order of pole (three term test) 22.373599457997546 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.37999999999993 y1[1] (analytic) 1.6191116821795437 y1[1] (numeric) 1.619111682179597 absolute error 5.3290705182007514e-14 relative error 3.2913544981820528e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.21469704891117602 y2[1] (numeric) 0.2146970489112204 absolute error 4.438116540939063e-14 relative error 2.0671530249003055e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48619023106917775 Order of pole (three term test) 22.616700724988743 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.48619023106917764 Order of pole (three term test) 22.383299275011247 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.3899999999999295 y1[1] (analytic) 1.6269336254811142 y1[1] (numeric) 1.6269336254811675 absolute error 5.3290705182007514e-14 relative error 3.2755303810411117e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.2209273273685528 y2[1] (numeric) 0.2209273273685979 absolute error 4.5102810375396984e-14 relative error 2.0415224731414102e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48842685516610923 Order of pole (three term test) 22.606954229241037 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4884268551661093 Order of pole (three term test) 22.393045770758963 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.399999999999929 y1[1] (analytic) 1.6346928759425796 y1[1] (numeric) 1.6346928759426327 absolute error 5.306866057708248e-14 relative error 3.2463994526484115e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.22723551244396778 y2[1] (numeric) 0.2272355124440135 absolute error 4.571343303894082e-14 relative error 2.011720463376645e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4904681150332455 Order of pole (three term test) 22.59716495322766 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4904681150332456 Order of pole (three term test) 22.40283504677233 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.409999999999929 y1[1] (analytic) 1.64238865764536 y1[1] (numeric) 1.6423886576454125 absolute error 5.262457136723242e-14 relative error 3.2041484895955496e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.23362097332416998 y2[1] (numeric) 0.2336209733242164 absolute error 4.643507800494717e-14 relative error 1.987624541762111e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4923131941938561 Order of pole (three term test) 22.587336812528516 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4923131941938563 Order of pole (three term test) 22.41266318747148 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.419999999999929 y1[1] (analytic) 1.6500202010176976 y1[1] (numeric) 1.65002020101775 absolute error 5.240252676230739e-14 relative error 3.175871830537991e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.2400830714683928 y2[1] (numeric) 0.24008307146843985 absolute error 4.704570066849101e-14 relative error 1.9595592634145645e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4939613546408776 Order of pole (three term test) 22.57747373826884 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49396135464087754 Order of pole (three term test) 22.422526261731154 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.429999999999929 y1[1] (analytic) 1.6575867429116156 y1[1] (numeric) 1.6575867429116675 absolute error 5.1958437552457326e-14 relative error 3.134583319675344e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.24662116067220674 y2[1] (numeric) 0.24662116067225445 absolute error 4.77118344832661e-14 relative error 1.9346204661927474e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4954119371321063 Order of pole (three term test) 22.567579675546824 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4954119371321064 Order of pole (three term test) 22.432420324453176 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.4399999999999284 y1[1] (analytic) 1.665087526679229 y1[1] (numeric) 1.6650875266792808 absolute error 5.1736392947532295e-14 relative error 3.1071275304495783e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.25323458713213987 y2[1] (numeric) 0.2532345871321882 absolute error 4.835021272242557e-14 relative error 1.90930525209797e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49666436145388676 Order of pole (three term test) 22.557658581855637 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4966643614538866 Order of pole (three term test) 22.442341418144363 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.449999999999928 y1[1] (analytic) 1.6725218022484127 y1[1] (numeric) 1.672521802248464 absolute error 5.129230373768223e-14 relative error 3.0667644313352873e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.25992268951105724 y2[1] (numeric) 0.2599226895111063 absolute error 4.907185768843192e-14 relative error 1.88794051726463e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4977181266531886 Order of pole (three term test) 22.54771442550048 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49771812665318854 Order of pole (three term test) 22.452285574499523 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.459999999999928 y1[1] (analytic) 1.6798888261978044 y1[1] (numeric) 1.6798888261978553 absolute error 5.084821452783217e-14 relative error 3.0268797395908666e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.26668479900429454 y2[1] (numeric) 0.2666847990043443 absolute error 4.973799150320701e-14 relative error 1.8650478650793313e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4985728112379824 Order of pole (three term test) 22.5377511840113 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49857281123798236 Order of pole (three term test) 22.462248815988694 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.469999999999928 y1[1] (analytic) 1.6871878618311484 y1[1] (numeric) 1.6871878618311988 absolute error 5.040412531798211e-14 relative error 2.987463723409983e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.27352023940653747 y2[1] (numeric) 0.2735202394065878 absolute error 5.034861416675085e-14 relative error 1.8407637502801723e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4992280733458299 Order of pole (three term test) 22.527772842551858 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4992280733458299 Order of pole (three term test) 22.472227157448135 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.479999999999928 y1[1] (analytic) 1.6944181792509638 y1[1] (numeric) 1.694418179251014 absolute error 5.0182080713057076e-14 relative error 2.961611326387009e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.280428327179442 y2[1] (numeric) 0.28042832717949295 absolute error 5.0959236830294685e-14 relative error 1.8171929113882497e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4996836508806247 Order of pole (three term test) 22.517783392325704 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4996836508806248 Order of pole (three term test) 22.482216607674296 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.489999999999927 y1[1] (analytic) 1.7015790554315342 y1[1] (numeric) 1.701579055431584 absolute error 4.973799150320701e-14 relative error 2.9230491139650904e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.28740837151998744 y2[1] (numeric) 0.28740837152003906 absolute error 5.162537064506978e-14 relative error 1.7962375407523424e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4999393616174271 Order of pole (three term test) 22.507786828979725 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49993936161742697 Order of pole (three term test) 22.49221317102028 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.499999999999927 y1[1] (analytic) 1.7086697742912085 y1[1] (numeric) 1.708669774291258 absolute error 4.951594689828198e-14 relative error 2.8979237324439837e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.29445967442955645 y2[1] (numeric) 0.2944596744296088 absolute error 5.234701561107613e-14 relative error 1.7777312194780376e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4999951032753517 Order of pole (three term test) 22.49778715100598 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4999951032753518 Order of pole (three term test) 22.502212848994027 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.509999999999927 y1[1] (analytic) 1.7156896267640103 y1[1] (numeric) 1.7156896267640591 absolute error 4.884981308350689e-14 relative error 2.8472406851140846e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.3015815307837343 y2[1] (numeric) 0.30158153078378724 absolute error 5.295763827461997e-14 relative error 1.755997396027417e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49985085355847875 Order of pole (three term test) 22.487788358142318 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49985085355847875 Order of pole (three term test) 22.512211641857682 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.519999999999927 y1[1] (analytic) 1.7226379108705414 y1[1] (numeric) 1.7226379108705898 absolute error 4.8405723873656825e-14 relative error 2.8099766972616325e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.3087732284028203 y2[1] (numeric) 0.30877322840287386 absolute error 5.35682609381638e-14 relative error 1.7348738818858858e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49950667016477157 Order of pole (three term test) 22.477794449772592 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4995066701647715 Order of pole (three term test) 22.522205550227415 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.5299999999999265 y1[1] (analytic) 1.7295139317881816 y1[1] (numeric) 1.7295139317882298 absolute error 4.8183679268731794e-14 relative error 2.7859665298511737e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.3160340481230456 y2[1] (numeric) 0.3160340481230998 absolute error 5.42343947529389e-14 relative error 1.7160934106638766e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4989626907629986 Order of pole (three term test) 22.467809423326877 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4989626907629985 Order of pole (three term test) 22.53219057667312 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.539999999999926 y1[1] (analytic) 1.7363170019205694 y1[1] (numeric) 1.736317001920617 absolute error 4.773959005888173e-14 relative error 2.749474318691585e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.3233632638684889 y2[1] (numeric) 0.32336326386854375 absolute error 5.484501741648273e-14 relative error 1.6960806481341082e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49821913293766745 Order of pole (three term test) 22.457837272682628 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4982191329376675 Order of pole (three term test) 22.54216272731737 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.549999999999926 y1[1] (analytic) 1.7430464409663604 y1[1] (numeric) 1.743046440966408 absolute error 4.75175454539567e-14 relative error 2.7261204484954832e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.33076014272368315 y2[1] (numeric) 0.3307601427237387 absolute error 5.5566662382489085e-14 relative error 1.679968509050664e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49727629410199464 Order of pole (three term test) 22.44788198656715 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4972762941019946 Order of pole (three term test) 22.55211801343285 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.559999999999926 y1[1] (analytic) 1.7497015759872583 y1[1] (numeric) 1.7497015759873054 absolute error 4.707345624410664e-14 relative error 2.6903705689094856e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.3382239450069071 y2[1] (numeric) 0.3382239450069633 absolute error 5.617728504603292e-14 relative error 1.660949376156253e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4961345513789431 Order of pole (three term test) 22.437947546962146 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49613455137894313 Order of pole (three term test) 22.56205245303785 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.569999999999926 y1[1] (analytic) 1.7562817414753067 y1[1] (numeric) 1.7562817414753533 absolute error 4.6629367034256575e-14 relative error 2.655004942150518e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.3457539243441522 y2[1] (numeric) 0.345753924344209 absolute error 5.678790770957676e-14 relative error 1.6424371123855103e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4947943614503792 Order of pole (three term test) 22.428037927511003 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4947943614503792 Order of pole (three term test) 22.571962072488994 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.5799999999999255 y1[1] (analytic) 1.7627862794194402 y1[1] (numeric) 1.7627862794194864 absolute error 4.618527782440651e-14 relative error 2.6200157309834105e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.3533493277437596 y2[1] (numeric) 0.353349327743817 absolute error 5.739853037312059e-14 relative error 1.6244131760382072e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4932562603744054 Order of pole (three term test) 22.418157091929373 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4932562603744054 Order of pole (three term test) 22.581842908070627 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.589999999999925 y1[1] (analytic) 1.7692145393712848 y1[1] (numeric) 1.7692145393713306 absolute error 4.574118861455645e-14 relative error 2.5853952472497327e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.36100939567171886 y2[1] (numeric) 0.36100939567177687 absolute error 5.800915303666443e-14 relative error 1.6068599247598145e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4915208633709442 Order of pole (three term test) 22.40830899241975 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49152086337094414 Order of pole (three term test) 22.59169100758025 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.599999999999925 y1[1] (analytic) 1.7755658785102024 y1[1] (numeric) 1.7755658785102477 absolute error 4.529709940470639e-14 relative error 2.551135947865429e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.36873336212762053 y2[1] (numeric) 0.36873336212767915 absolute error 5.861977570020827e-14 relative error 1.5897605619943782e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48958886457565876 Order of pole (three term test) 22.398497568090626 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.48958886457565876 Order of pole (three term test) 22.601502431909374 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.609999999999925 y1[1] (analytic) 1.7818396617075716 y1[1] (numeric) 1.7818396617076164 absolute error 4.4853010194856324e-14 relative error 2.517230430928494e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.3765204547212557 y2[1] (numeric) 0.3765204547213149 absolute error 5.917488721252084e-14 relative error 1.5716247675396276e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48746103676230745 Order of pole (three term test) 22.38872674338091 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.48746103676230756 Order of pole (three term test) 22.611273256619082 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.619999999999925 y1[1] (analytic) 1.7880352615903012 y1[1] (numeric) 1.7880352615903454 absolute error 4.418687638008123e-14 relative error 2.471253074773305e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.38436989474985417 y2[1] (numeric) 0.38436989474991395 absolute error 5.978550987606468e-14 relative error 1.5554160378500185e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4851382310336453 Order of pole (three term test) 22.379000426490233 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.48513823103364534 Order of pole (three term test) 22.620999573509767 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.629999999999924 y1[1] (analytic) 1.7941520586035655 y1[1] (numeric) 1.7941520586036093 absolute error 4.374278717023117e-14 relative error 2.4380758007923417e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.3922808972759543 y2[1] (numeric) 0.3922808972760147 absolute error 6.039613253960852e-14 relative error 1.5396144181122895e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48262137648099307 Order of pole (three term test) 22.36932250781565 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.48262137648099296 Order of pole (three term test) 22.63067749218435 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.639999999999924 y1[1] (analytic) 1.8001894410727606 y1[1] (numeric) 1.8001894410728039 absolute error 4.3298697960381105e-14 relative error 2.405230081484021e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.4002526712058958 y2[1] (numeric) 0.40025267120595687 absolute error 6.106226635438361e-14 relative error 1.525592975317641e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47991147981261423 Order of pole (three term test) 22.359696858395587 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.47991147981261423 Order of pole (three term test) 22.64030314160441 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.649999999999924 y1[1] (analytic) 1.8061468052646705 y1[1] (numeric) 1.8061468052647134 absolute error 4.285460875053104e-14 relative error 2.3727090525319277e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.408284419368929 y2[1] (numeric) 0.4082844193689907 absolute error 6.167288901792745e-14 relative error 1.5105374119652443e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47700962495104493 Order of pole (three term test) 22.3501273283615 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.47700962495104493 Order of pole (three term test) 22.6498726716385 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.659999999999924 y1[1] (analytic) 1.812023555447841 y1[1] (numeric) 1.8120235554478832 absolute error 4.218847493575595e-14 relative error 2.328252014656017e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.41637533859693077 y2[1] (numeric) 0.41637533859699294 absolute error 6.217248937900877e-14 relative error 1.4931837603185813e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4739169725995387 Order of pole (three term test) 22.340617745397775 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4739169725995387 Order of pole (three term test) 22.65938225460222 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.6699999999999235 y1[1] (analytic) 1.8178191039521505 y1[1] (numeric) 1.8178191039521923 absolute error 4.1744385725905886e-14 relative error 2.2963993301175417e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.42452461980472045 y2[1] (numeric) 0.42452461980478323 absolute error 6.27831120425526e-14 relative error 1.4789039107185956e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4706347597778013 Order of pole (three term test) 22.33117191321083 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.47063475977780134 Order of pole (three term test) 22.668828086789173 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.679999999999923 y1[1] (analytic) 1.8235328712275787 y1[1] (numeric) 1.8235328712276198 absolute error 4.107825191113079e-14 relative error 2.252674057006576e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.4327314480709684 y2[1] (numeric) 0.4327314480710318 absolute error 6.339373470609644e-14 relative error 1.4649671288900593e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46716429932719905 Order of pole (three term test) 22.32179361000759 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.46716429932719916 Order of pole (three term test) 22.67820638999241 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.689999999999923 y1[1] (analytic) 1.829164285902159 y1[1] (numeric) 1.8291642859021997 absolute error 4.063416270128073e-14 relative error 2.2214605333407558e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.44099500271968717 y2[1] (numeric) 0.44099500271975106 absolute error 6.389333506717776e-14 relative error 1.448844877450703e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46350697938564056 Order of pole (three term test) 22.312486586984292 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4635069793856406 Order of pole (three term test) 22.687513413015704 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.699999999999923 y1[1] (analytic) 1.8347127848391174 y1[1] (numeric) 1.8347127848391573 absolute error 3.9968028886505635e-14 relative error 2.1784351870644626e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.4493144574022979 y2[1] (numeric) 0.4493144574023624 absolute error 6.45039577307216e-14 relative error 1.4356083288227553e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.45966426283233847 Order of pole (three term test) 22.303254566826062 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4596642628323383 Order of pole (three term test) 22.69674543317394 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.709999999999923 y1[1] (analytic) 1.8401778131931832 y1[1] (numeric) 1.8401778131932227 absolute error 3.952393967665557e-14 relative error 2.1478326384161397e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.4576889801802654 y2[1] (numeric) 0.45768898018033044 absolute error 6.505906924303417e-14 relative error 1.4214689900860189e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4556376867026782 Order of pole (three term test) 22.294101242217852 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4556376867026783 Order of pole (three term test) 22.70589875778215 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.7199999999999225 y1[1] (analytic) 1.8455588244660754 y1[1] (numeric) 1.8455588244661145 absolute error 3.907985046680551e-14 relative error 2.1175077135843342e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.46611773360829045 y2[1] (numeric) 0.46611773360835607 absolute error 6.561418075534675e-14 relative error 1.407673985012694e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4514288615734254 Order of pole (three term test) 22.28503027436748 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4514288615734252 Order of pole (three term test) 22.714969725632518 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.729999999999922 y1[1] (analytic) 1.8508552805611513 y1[1] (numeric) 1.8508552805611898 absolute error 3.8413716652030416e-14 relative error 2.0754576035995616e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.4745998748180542 y2[1] (numeric) 0.4745998748181205 absolute error 6.628031457012185e-14 relative error 1.3965514549604866e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.44703947091851437 Order of pole (three term test) 22.276045291541138 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.44703947091851426 Order of pole (three term test) 22.723954708458862 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.739999999999922 y1[1] (analytic) 1.8560666518372149 y1[1] (numeric) 1.8560666518372526 absolute error 3.774758283725532e-14 relative error 2.0337406956744324e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.4831345556025043 y2[1] (numeric) 0.4831345556025711 absolute error 6.683542608243442e-14 relative error 1.3833708499506051e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4424712704356826 Order of pole (three term test) 22.267149887612156 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4424712704356826 Order of pole (three term test) 22.732850112387847 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.749999999999922 y1[1] (analytic) 1.861192417161481 y1[1] (numeric) 1.8611924171615182 absolute error 3.708144902248023e-14 relative error 1.9923490274602253e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.49172092250067434 y2[1] (numeric) 0.49172092250074173 absolute error 6.7390537594747e-14 relative error 1.370503765673192e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.43772608734421486 Order of pole (three term test) 22.2583476206235 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.43772608734421475 Order of pole (three term test) 22.741652379376497 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.759999999999922 y1[1] (analytic) 1.8662320639616892 y1[1] (numeric) 1.8662320639617256 absolute error 3.6415315207705135e-14 relative error 1.9512747589601314e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.5003581168830298 y2[1] (numeric) 0.5003581168830977 absolute error 6.794564910705958e-14 relative error 1.3579403793891773e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4328058196540796 Order of pole (three term test) 22.249642011364607 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.43280581965407977 Order of pole (three term test) 22.7503579886354 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.769999999999921 y1[1] (analytic) 1.8711850882773586 y1[1] (numeric) 1.8711850882773946 absolute error 3.597122599785507e-14 relative error 1.9223766918199805e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.5090452750373302 y2[1] (numeric) 0.5090452750373986 absolute error 6.838973831690964e-14 relative error 1.3434902880081613e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4277124354067498 Order of pole (three term test) 22.2410365419631 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.42771243540674986 Order of pole (three term test) 22.758963458036888 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.779999999999921 y1[1] (analytic) 1.8760509948101856 y1[1] (numeric) 1.8760509948102209 absolute error 3.530509218307998e-14 relative error 1.881883396599892e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.5177815282549991 y2[1] (numeric) 0.5177815282550682 absolute error 6.905587213168474e-14 relative error 1.3336874408095112e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.42244797188801403 Order of pole (three term test) 22.23253465449202 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.422447971888014 Order of pole (three term test) 22.76746534550798 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.789999999999921 y1[1] (analytic) 1.8808292969735716 y1[1] (numeric) 1.8808292969736062 absolute error 3.4638958368304884e-14 relative error 1.841685389739631e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.5265660029179953 y2[1] (numeric) 0.5265660029180649 absolute error 6.961098364399732e-14 relative error 1.3219802125136093e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4170145348130873 Order of pole (three term test) 22.22413974959298 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4170145348130873 Order of pole (three term test) 22.775860250407025 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.799999999999921 y1[1] (analytic) 1.8855195169412822 y1[1] (numeric) 1.8855195169413161 absolute error 3.397282455352979e-14 relative error 1.8017752798783547e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.5353978205861727 y2[1] (numeric) 0.5353978205862427 absolute error 7.005507285384738e-14 relative error 1.3084676507862617e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.411414297484355 Order of pole (three term test) 22.215855185116013 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.41141429748435504 Order of pole (three term test) 22.784144814883987 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.809999999999921 y1[1] (analytic) 1.8901211856952291 y1[1] (numeric) 1.8901211856952624 absolute error 3.3306690738754696e-14 relative error 1.7621457814888067e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.5442760980851241 y2[1] (numeric) 0.5442760980851947 absolute error 7.061018436615996e-14 relative error 1.2973228957615664e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.40564949992208005 Order of pole (three term test) 22.207684274776458 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.40564949992207994 Order of pole (three term test) 22.79231572522354 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.81999999999992 y1[1] (analytic) 1.8946338430723717 y1[1] (numeric) 1.8946338430724043 absolute error 3.26405569239796e-14 relative error 1.7227897117602998e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.5531999475944984 y2[1] (numeric) 0.5531999475945696 absolute error 7.116529587847253e-14 relative error 1.2864299099796276e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3997224479684241 Order of pole (three term test) 22.199630286829496 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3997224479684242 Order of pole (three term test) 22.8003697131705 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.82999999999992 y1[1] (analytic) 1.8990570378107328 y1[1] (numeric) 1.8990570378107647 absolute error 3.197442310920451e-14 relative error 1.6836999875509374e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.5621684767367812 y2[1] (numeric) 0.5621684767368529 absolute error 7.172040739078511e-14 relative error 1.2757813779794359e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3936355123651421 Order of pole (three term test) 22.191696442762936 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.393635512365142 Order of pole (three term test) 22.80830355723707 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.83999999999992 y1[1] (analytic) 1.9033903275945245 y1[1] (numeric) 1.9033903275945558 absolute error 3.1308289294429414e-14 relative error 1.6448696224066846e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.5711807886665319 y2[1] (numeric) 0.571180788666604 absolute error 7.216449660063518e-14 relative error 1.2634265373159535e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3873911278053178 Order of pole (three term test) 22.1838859160086 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.38739112780531787 Order of pole (three term test) 22.816114083991405 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.84999999999992 y1[1] (analytic) 1.9076332790983797 y1[1] (numeric) 1.9076332790984103 absolute error 3.064215547965432e-14 relative error 1.6062917236449647e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.5802359821600678 y2[1] (numeric) 0.5802359821601404 absolute error 7.260858581048524e-14 relative error 1.2513630323335402e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3809917919595173 Order of pole (three term test) 22.176201830673065 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3809917919595173 Order of pole (three term test) 22.82379816932694 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.8599999999999195 y1[1] (analytic) 1.9117854680306834 y1[1] (numeric) 1.9117854680307134 absolute error 2.9976021664879227e-14 relative error 1.5679594895005303e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.5893331517055855 y2[1] (numeric) 0.5893331517056586 absolute error 7.30526750203353e-14 relative error 1.2395819717406699e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.374440064476756 Order of pole (three term test) 22.168647260288004 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.374440064476756 Order of pole (three term test) 22.831352739711992 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.869999999999919 y1[1] (analytic) 1.9158464791760026 y1[1] (numeric) 1.9158464791760321 absolute error 2.9531932455029164e-14 relative error 1.5414561018339383e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.5984713875937113 y2[1] (numeric) 0.5984713875937849 absolute error 7.360778653264788e-14 relative error 1.2299299190994664e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3677385659606716 Order of pole (three term test) 22.161225226580857 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3677385659606716 Order of pole (three term test) 22.838774773419132 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.879999999999919 y1[1] (analytic) 1.9198159064366074 y1[1] (numeric) 1.919815906436636 absolute error 2.864375403532904e-14 relative error 1.4920052458829265e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.6076497760084718 y2[1] (numeric) 0.6076497760085459 absolute error 7.405187574249794e-14 relative error 1.2186604630866434e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3608899769213185 Order of pole (three term test) 22.153938698266142 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3608899769213185 Order of pole (three term test) 22.84606130173385 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.889999999999919 y1[1] (analytic) 1.923693352873079 y1[1] (numeric) 1.923693352873107 absolute error 2.7977620220553945e-14 relative error 1.4543700626073663e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.6168673991186739 y2[1] (numeric) 0.6168673991187485 absolute error 7.460698725481052e-14 relative error 1.2094493461869187e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.35389703670299877 Order of pole (three term test) 22.146790589858032 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3538970367029988 Order of pole (three term test) 22.853209410141968 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.899999999999919 y1[1] (analytic) 1.9274784307440054 y1[1] (numeric) 1.9274784307440327 absolute error 2.731148640577885e-14 relative error 1.4169541910379061e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.6261233351696882 y2[1] (numeric) 0.6261233351697633 absolute error 7.505107646466058e-14 relative error 1.198662823265015e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3467625423885626 Order of pole (three term test) 22.13978376050459 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3467625423885625 Order of pole (three term test) 22.860216239495415 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.909999999999918 y1[1] (analytic) 1.9311707615447533 y1[1] (numeric) 1.93117076154478 absolute error 2.6645352591003757e-14 relative error 1.379751243214246e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.6354166585756226 y2[1] (numeric) 0.6354166585756981 absolute error 7.549516567451064e-14 relative error 1.188120655252317e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3394893476806098 Order of pole (three term test) 22.13292101284411 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.33948934768060973 Order of pole (three term test) 22.867078987155885 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.919999999999918 y1[1] (analytic) 1.9347699760453199 y1[1] (numeric) 1.9347699760453458 absolute error 2.5979218776228663e-14 relative error 1.3427549061584222e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.644746440011881 y2[1] (numeric) 0.6447464400119569 absolute error 7.593925488436071e-14 relative error 1.1778158074507762e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3320803617600487 Order of pole (three term test) 22.126205091884177 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3320803617600487 Order of pole (three term test) 22.87379490811582 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.929999999999918 y1[1] (analytic) 1.9382757143272542 y1[1] (numeric) 1.9382757143272795 absolute error 2.531308496145357e-14 relative error 1.3059589393988436e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.6541117465080946 y2[1] (numeric) 0.6541117465081709 absolute error 7.638334409421077e-14 relative error 1.1677415136171313e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.32453854812246297 Order of pole (three term test) 22.11963868390363 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.32453854812246297 Order of pole (three term test) 22.88036131609637 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.939999999999918 y1[1] (analytic) 1.9416876258196498 y1[1] (numeric) 1.9416876258196742 absolute error 2.4424906541753444e-14 relative error 1.2579215223377083e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.663511641541418 y2[1] (numeric) 0.6635116415414949 absolute error 7.693845560652335e-14 relative error 1.1595645168754838e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.316866923392751 Order of pole (three term test) 22.113224415378102 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.316866923392751 Order of pole (three term test) 22.886775584621898 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.949999999999918 y1[1] (analytic) 1.9450053693342004 y1[1] (numeric) 1.9450053693342242 absolute error 2.375877272697835e-14 relative error 1.2215273593363537e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.6729451851301813 y2[1] (numeric) 0.6729451851302587 absolute error 7.738254481637341e-14 relative error 1.1499085887865257e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.30906855611851775 Order of pole (three term test) 22.106964851929476 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3090685561185179 Order of pole (three term test) 22.89303514807052 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.959999999999917 y1[1] (analytic) 1.9482286130993196 y1[1] (numeric) 1.9482286130993425 absolute error 2.2870594307278225e-14 relative error 1.1739173808198398e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.6824114339278868 y2[1] (numeric) 0.6824114339279647 absolute error 7.782663402622347e-14 relative error 1.1404649769459714e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.30114656554269664 Order of pole (three term test) 22.100862497299694 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3011465655426966 Order of pole (three term test) 22.899137502700302 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.969999999999917 y1[1] (analytic) 1.9513570347933165 y1[1] (numeric) 1.9513570347933389 absolute error 2.2426505097428162e-14 relative error 1.149277384792042e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.6919094413175433 y2[1] (numeric) 0.6919094413176216 absolute error 7.827072323607354e-14 relative error 1.131227853850778e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2931041203558925 Order of pole (three term test) 22.094919792349224 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2931041203558925 Order of pole (three term test) 22.905080207650784 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.979999999999917 y1[1] (analytic) 1.954390321576629 y1[1] (numeric) 1.9543903215766507 absolute error 2.1760371282653068e-14 relative error 1.1134096931619437e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.7014382575063267 y2[1] (numeric) 0.7014382575064054 absolute error 7.87148124459236e-14 relative error 1.1221916056555216e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2849444374289486 Order of pole (three term test) 22.089139114080808 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.28494443742894865 Order of pole (three term test) 22.91086088591919 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.989999999999917 y1[1] (analytic) 1.9573281701231067 y1[1] (numeric) 1.9573281701231275 absolute error 2.0872192862952943e-14 relative error 1.0663614401278546e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.7109969296205589 y2[1] (numeric) 0.710996929620638 absolute error 7.904787935331115e-14 relative error 1.1117893208835234e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2766707805262417 Order of pole (three term test) 22.083522774688696 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2766707805262417 Order of pole (three term test) 22.916477225311304 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.9999999999999165 y1[1] (analytic) 1.9601702866503428 y1[1] (numeric) 1.9601702866503627 absolute error 1.9984014443252818e-14 relative error 1.019503998165522e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.720584501800994 y2[1] (numeric) 0.7205845018010735 absolute error 7.949196856316121e-14 relative error 1.1031595651097523e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.26828645900021886 Order of pole (three term test) 22.07807302063375 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2682864590002189 Order of pole (three term test) 22.921926979366248 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.009999999999916 y1[1] (analytic) 1.962916386949053 y1[1] (numeric) 1.9629163869490722 absolute error 1.9317880628477724e-14 relative error 9.84141798240493e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.7302000152984034 y2[1] (numeric) 0.7302000152984833 absolute error 7.993605777301127e-14 relative error 1.0947145453063927e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.25979482646770097 Order of pole (three term test) 22.07279203174494 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.25979482646770097 Order of pole (three term test) 22.92720796825506 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.019999999999916 y1[1] (analytic) 1.9655661964114959 y1[1] (numeric) 1.9655661964115145 absolute error 1.865174681370263e-14 relative error 9.489248872795452e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.7398425085694504 y2[1] (numeric) 0.7398425085695308 absolute error 8.038014698286133e-14 relative error 1.0864494274367028e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2511992794684808 Order of pole (three term test) 22.067681920347393 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2511992794684808 Order of pole (three term test) 22.93231807965261 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.029999999999916 y1[1] (analytic) 1.9681194500589336 y1[1] (numeric) 1.9681194500589514 absolute error 1.7763568394002505e-14 relative error 9.025655629525225e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.7495110173728434 y2[1] (numeric) 0.7495110173729241 absolute error 8.071321389024888e-14 relative error 1.0768782849004897e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24250325610675222 Order of pole (three term test) 22.06274473041755 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2425032561067523 Order of pole (three term test) 22.93725526958245 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.039999999999916 y1[1] (analytic) 1.970575892568129 y1[1] (numeric) 1.970575892568146 absolute error 1.709743457922741e-14 relative error 8.676364429154458e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.759204574865759 y2[1] (numeric) 0.75920457486584 absolute error 8.104628079763643e-14 relative error 1.06751570631627e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2337102346759147 Order of pole (three term test) 22.057982436765542 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.23371023467591473 Order of pole (three term test) 22.94201756323446 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.0499999999999154 y1[1] (analytic) 1.972935278296878 y1[1] (numeric) 1.9729352782968943 absolute error 1.6209256159527285e-14 relative error 8.215807349504038e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.7689222117005257 y2[1] (numeric) 0.7689222117006071 absolute error 8.149037000748649e-14 relative error 1.0597999221178017e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22482373226730173 Order of pole (three term test) 22.053396944245332 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2248237322673018 Order of pole (three term test) 22.946603055754654 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.059999999999915 y1[1] (analytic) 1.975197371308574 y1[1] (numeric) 1.9751973713085895 absolute error 1.554312234475219e-14 relative error 7.869148962290704e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.7786629561215582 y2[1] (numeric) 0.77866295612164 absolute error 8.182343691487404e-14 relative error 1.0508196938304134e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21584730336339172 Order of pole (three term test) 22.04899008699281 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2158473033633918 Order of pole (three term test) 22.95100991300719 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.069999999999915 y1[1] (analytic) 1.977361945395801 y1[1] (numeric) 1.9773619453958158 absolute error 1.4876988529977098e-14 relative error 7.523654718154914e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.7884258340625316 y2[1] (numeric) 0.7884258340626138 absolute error 8.215650382226158e-14 relative error 1.0420321135208462e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20678453841606215 Order of pole (three term test) 22.044763627692102 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.20678453841606212 Order of pole (three term test) 22.955236372307898 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.079999999999915 y1[1] (analytic) 1.9794287841029539 y1[1] (numeric) 1.9794287841029679 absolute error 1.3988810110276972e-14 relative error 7.067094417653667e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.7982098692437876 y2[1] (numeric) 0.7982098692438702 absolute error 8.260059303211165e-14 relative error 1.0348229984974533e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19763906241045626 Order of pole (three term test) 22.040719256870574 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1976390624104563 Order of pole (three term test) 22.959280743129426 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.089999999999915 y1[1] (analytic) 1.9813976807478846 y1[1] (numeric) 1.9813976807478977 absolute error 1.3100631690576847e-14 relative error 6.611813376924906e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.8080140832699613 y2[1] (numeric) 0.8080140832700442 absolute error 8.293365993949919e-14 relative error 1.0263887926788854e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18841453341503883 Order of pole (three term test) 22.036858592222643 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1884145334150388 Order of pole (three term test) 22.963141407777357 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.099999999999914 y1[1] (analytic) 1.983268438442569 y1[1] (numeric) 1.9832684384425814 absolute error 1.2434497875801753e-14 relative error 6.269699872583249e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.8178374957278203 y2[1] (numeric) 0.8178374957279035 absolute error 8.326672684688674e-14 relative error 1.0181329088217575e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17911464111841527 Order of pole (three term test) 22.03318317796268 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.17911464111841532 Order of pole (three term test) 22.96681682203732 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.109999999999914 y1[1] (analytic) 1.9850408701127968 y1[1] (numeric) 1.9850408701128084 absolute error 1.1546319456101628e-14 relative error 5.81666585809164e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.8276791242843049 y2[1] (numeric) 0.8276791242843885 absolute error 8.359979375427429e-14 relative error 1.0100507709018652e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16974310535350806 Order of pole (three term test) 22.029694484207393 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1697431053535081 Order of pole (three term test) 22.970305515792603 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.119999999999914 y1[1] (analytic) 1.986714798516878 y1[1] (numeric) 1.986714798516889 absolute error 1.0880185641326534e-14 relative error 5.476470829858825e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.8375379847847608 y2[1] (numeric) 0.8375379847848448 absolute error 8.393286066166183e-14 relative error 1.0021379589515784e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16030367460967065 Order of pole (three term test) 22.026393906387764 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1603036746096707 Order of pole (three term test) 22.97360609361223 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.129999999999914 y1[1] (analytic) 1.9882900562633674 y1[1] (numeric) 1.9882900562633772 absolute error 9.769962616701378e-15 relative error 4.913751183296797e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.8474130913513537 y2[1] (numeric) 0.8474130913514379 absolute error 8.426592756904938e-14 relative error 9.94390202712966e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15080012453334304 Order of pole (three term test) 22.023282764690922 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1508001245333431 Order of pole (three term test) 22.976717235309078 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.1399999999999135 y1[1] (analytic) 1.9897664858278024 y1[1] (numeric) 1.9897664858278115 absolute error 9.103828801926284e-15 relative error 4.575325228748548e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.8573034564816562 y2[1] (numeric) 0.8573034564817407 absolute error 8.448797217397441e-14 relative error 9.855083580405722e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14123625641784374 Order of pole (three term test) 22.02036230353206 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.14123625641784376 Order of pole (three term test) 22.97963769646794 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.149999999999913 y1[1] (analytic) 1.9911439395684574 y1[1] (numeric) 1.9911439395684656 absolute error 8.215650382226158e-15 relative error 4.1260956674014963e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.8672080911473969 y2[1] (numeric) 0.8672080911474819 absolute error 8.493206138382448e-14 relative error 9.793734889102737e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1316158956829023 Order of pole (three term test) 22.017633691056695 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.13161589568290225 Order of pole (three term test) 22.982366308943302 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.159999999999913 y1[1] (analytic) 1.9924222797411062 y1[1] (numeric) 1.9924222797411135 absolute error 7.327471962526033e-15 relative error 3.67767015909808e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.8771260048933636 y2[1] (numeric) 0.8771260048934487 absolute error 8.515410598874951e-14 relative error 9.708309355062629e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.12194289034454271 Order of pole (three term test) 22.01509801867344 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.12194289034454278 Order of pole (three term test) 22.984901981326555 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.169999999999913 y1[1] (analytic) 1.9936013785127966 y1[1] (numeric) 1.993601378512803 absolute error 6.439293542825908e-15 relative error 3.229980482672793e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.8870562059364462 y2[1] (numeric) 0.8870562059365316 absolute error 8.537615059367454e-14 relative error 9.624660762453578e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11222110947592907 Order of pole (three term test) 22.01275630061745 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.11222110947592907 Order of pole (three term test) 22.987243699382553 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.179999999999913 y1[1] (analytic) 1.994681117974634 y1[1] (numeric) 1.9946811179746398 absolute error 5.773159728050814e-15 relative error 2.8942770230425523e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.8969977012648156 y2[1] (numeric) 0.8969977012649013 absolute error 8.570921750106208e-14 relative error 9.555121198215717e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10245444165978644 Order of pole (three term test) 22.01060947354471 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.10245444165978645 Order of pole (three term test) 22.989390526455285 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.1899999999999125 y1[1] (analytic) 1.9956613901535722 y1[1] (numeric) 1.9956613901535771 absolute error 4.884981308350689e-15 relative error 2.44780068024204e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.9069494967372236 y2[1] (numeric) 0.9069494967373095 absolute error 8.593126210598712e-14 relative error 9.474757129821149e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09264679343302094 Order of pole (three term test) 22.00865839615744 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.09264679343302096 Order of pole (three term test) 22.991341603842557 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.199999999999912 y1[1] (analytic) 1.9965420970232102 y1[1] (numeric) 1.9965420970232142 absolute error 3.9968028886505635e-15 relative error 2.0018625675910805e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.916910597182416 y2[1] (numeric) 0.9169105971825022 absolute error 8.626432901337466e-14 relative error 9.40815050872541e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08280208772415634 Order of pole (three term test) 22.006903848860567 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.08280208772415634 Order of pole (three term test) 22.993096151139437 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.209999999999912 y1[1] (analytic) 1.9973231505135947 y1[1] (numeric) 1.997323150513598 absolute error 3.3306690738754696e-15 relative error 1.6675664491341908e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.9268800064986492 y2[1] (numeric) 0.9268800064987357 absolute error 8.64863736182997e-14 relative error 9.330913711798328e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.07292426228421522 Order of pole (three term test) 22.00534653344962 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.07292426228421524 Order of pole (three term test) 22.99465346655037 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.219999999999912 y1[1] (analytic) 1.9980044725200279 y1[1] (numeric) 1.9980044725200303 absolute error 2.4424906541753444e-15 relative error 1.22246505839634e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.9368567277532995 y2[1] (numeric) 0.9368567277533862 absolute error 8.670841822322473e-14 relative error 9.25524849793868e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06301726811167083 Order of pole (three term test) 22.00398707283001 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.06301726811167084 Order of pole (three term test) 22.996012927169993 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.229999999999912 y1[1] (analytic) 1.9985859949108766 y1[1] (numeric) 1.9985859949108782 absolute error 1.5543122344752192e-15 relative error 7.777059573283615e-14% Correct digits 16 h 0.01 y2[1] (analytic) 0.9468397632825551 y2[1] (numeric) 0.9468397632826422 absolute error 8.704148513061227e-14 relative error 9.192842179425605e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.05308506787210089 Order of pole (three term test) 22.002826010767844 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.0530850678721009 Order of pole (three term test) 22.997173989232156 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.239999999999911 y1[1] (analytic) 1.9990676595343864 y1[1] (numeric) 1.9990676595343873 absolute error 8.881784197001252e-16 relative error 4.442963275725223e-14% Correct digits 16 h 0.01 y2[1] (analytic) 0.9568281147911826 y2[1] (numeric) 0.9568281147912698 absolute error 8.72635297355373e-14 relative error 9.120084201808976e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04313163431317356 Order of pole (three term test) 22.00186381167247 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.04313163431317355 Order of pole (three term test) 22.998136188327525 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.249999999999911 y1[1] (analytic) 1.9994494182244966 y1[1] (numeric) 1.9994494182244964 absolute error 2.220446049250313e-16 relative error 1.1105287430687097e-14% Correct digits 16 h 0.01 y2[1] (analytic) 0.9668207834523544 y2[1] (numeric) 0.9668207834524419 absolute error 8.748557434046234e-14 relative error 9.048789169391462e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0331609486756017 Order of pole (three term test) 22.001100860410716 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.0331609486756017 Order of pole (three term test) 22.99889913958929 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.259999999999911 y1[1] (analytic) 1.9997312328056558 y1[1] (numeric) 1.999731232805655 absolute error 8.881784197001252e-16 relative error 4.441488961764108e-14% Correct digits 16 h 0.01 y2[1] (analytic) 0.9768167700075318 y2[1] (numeric) 0.9768167700076195 absolute error 8.770761894538737e-14 relative error 8.978922315667359e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.02317699910069978 Order of pole (three term test) 22.000537462152884 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.02317699910069978 Order of pole (three term test) 22.999462537847123 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.269999999999911 y1[1] (analytic) 1.9999130750966412 y1[1] (numeric) 1.9999130750966394 absolute error 1.7763568394002505e-15 relative error 8.882170237896025e-14% Correct digits 16 h 0.01 y2[1] (analytic) 0.9868150748663891 y2[1] (numeric) 0.9868150748664769 absolute error 8.781864124784988e-14 relative error 8.89919940265811e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.013183779035180126 Order of pole (three term test) 22.000173842250774 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.013183779035180124 Order of pole (three term test) 22.999826157749226 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.2799999999999105 y1[1] (analytic) 1.999994926913375 y1[1] (numeric) 1.9999949269133723 absolute error 2.6645352591003757e-15 relative error 1.332271008913306e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.9968146982067723 y2[1] (numeric) 0.9968146982068603 absolute error 8.804068585277491e-14 relative error 8.832201813552349e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.003185285633827779 Order of pole (three term test) 22.00001014614751 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.0031852856338277793 Order of pole (three term test) 22.999989853852487 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.28999999999991 y1[1] (analytic) 1.9999767800707438 y1[1] (numeric) 1.9999767800707402 absolute error 3.552713678800501e-15 relative error 1.776377463079763e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.0068146400746805 y2[1] (numeric) 1.0068146400747686 absolute error 8.815170815523743e-14 relative error 8.755505198921102e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.006814481839308196 Order of pole (three term test) 22.000046439319345 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.006814481839308197 Order of pole (three term test) 22.99995356068065 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.29999999999991 y1[1] (analytic) 1.9998586363834168 y1[1] (numeric) 1.9998586363834123 absolute error 4.440892098500626e-15 relative error 2.2206030054862387e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.01681390048426 y2[1] (numeric) 1.0168139004843484 absolute error 8.837375276016246e-14 relative error 8.691241604591976e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.016811523610567078 Order of pole (three term test) 22.000282707249493 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.016811523610567085 Order of pole (three term test) 22.9997172927505 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.30999999999991 y1[1] (analytic) 1.999640507665664 y1[1] (numeric) 1.9996405076656587 absolute error 5.329070518200751e-15 relative error 2.665014285203589e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.0268114795178027 y2[1] (numeric) 1.0268114795178913 absolute error 8.859579736508749e-14 relative error 8.628243755776148e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.02680184099653247 Order of pole (three term test) 22.000718855433938 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.026801840996532465 Order of pole (three term test) 22.999281144566055 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.31999999999991 y1[1] (analytic) 1.9993224157301759 y1[1] (numeric) 1.9993224157301697 absolute error 6.217248937900877e-15 relative error 3.1096780034000993e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.0368063774257363 y2[1] (numeric) 1.0368063774258252 absolute error 8.881784197001252e-14 relative error 8.566482990829627e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.036781438003452176 Order of pole (three term test) 22.001354709419207 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.036781438003452176 Order of pole (three term test) 22.998645290580786 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.3299999999999095 y1[1] (analytic) 1.9989043923858805 y1[1] (numeric) 1.9989043923858734 absolute error 7.105427357601002e-15 relative error 3.554660935593826e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.0467975947265993 y2[1] (numeric) 1.0467975947266883 absolute error 8.903988657493755e-14 relative error 8.50593152138383e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.046746322925583186 Order of pole (three term test) 22.002190014872205 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.04674632292558318 Order of pole (three term test) 22.99780998512779 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.339999999999909 y1[1] (analytic) 1.9983864794347639 y1[1] (numeric) 1.9983864794347561 absolute error 7.771561172376096e-15 relative error 3.8889180107815046e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.0567841323069875 y2[1] (numeric) 1.0567841323070766 absolute error 8.903988657493755e-14 relative error 8.42555105180858e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.05669250994181981 Order of pole (three term test) 22.003224437681865 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.056692509941819846 Order of pole (three term test) 22.996775562318142 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.349999999999909 y1[1] (analytic) 1.9977687286676902 y1[1] (numeric) 1.9977687286676813 absolute error 8.881784197001252e-15 relative error 4.445852049613623e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.066764991521465 y2[1] (numeric) 1.0667649915215542 absolute error 8.926193117986259e-14 relative error 8.367534732514372e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06661602070997007 Order of pole (three term test) 22.00445756409287 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.06661602070997005 Order of pole (three term test) 22.99554243590712 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.359999999999909 y1[1] (analytic) 1.9970512018592208 y1[1] (numeric) 1.9970512018592108 absolute error 9.992007221626409e-15 relative error 5.00338059050465e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.0767391742924277 y2[1] (numeric) 1.076739174292517 absolute error 8.926193117986259e-14 relative error 8.290023555474379e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.07651288595803797 Order of pole (three term test) 22.0058889008711 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.07651288595803796 Order of pole (three term test) 22.994111099128897 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.369999999999909 y1[1] (analytic) 1.9962339707614385 y1[1] (numeric) 1.9962339707614278 absolute error 1.0658141036401503e-14 relative error 5.339124167061484e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.0867056832099102 y2[1] (numeric) 1.0867056832099995 absolute error 8.926193117986259e-14 relative error 8.213993223648263e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08637914707188075 Order of pole (three term test) 22.00751787550091 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.08637914707188075 Order of pole (three term test) 22.992482124499084 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.379999999999908 y1[1] (analytic) 1.9953171170967723 y1[1] (numeric) 1.9953171170967607 absolute error 1.1546319456101628e-14 relative error 5.786708968297611e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.096663521631326 y2[1] (numeric) 1.0966635216314156 absolute error 8.948397578478762e-14 relative error 8.159656450656534e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09621085767860145 Order of pole (three term test) 22.009343836414185 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.09621085767860145 Order of pole (three term test) 22.990656163585808 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.389999999999908 y1[1] (analytic) 1.9943007325498248 y1[1] (numeric) 1.994300732549812 absolute error 1.2656542480726785e-14 relative error 6.34635603053943e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.1066116937811317 y2[1] (numeric) 1.1066116937812212 absolute error 8.948397578478762e-14 relative error 8.086303107735455e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10600408522504515 Order of pole (three term test) 22.0113660532509 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.10600408522504516 Order of pole (three term test) 22.9886339467491 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.399999999999908 y1[1] (analytic) 1.9931849187582034 y1[1] (numeric) 1.9931849187581898 absolute error 1.354472090042691e-14 relative error 6.795516448551878e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.116549204850402 y2[1] (numeric) 1.1165492048504915 absolute error 8.948397578478762e-14 relative error 8.014333394001825e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11575491255076764 Order of pole (three term test) 22.01358371715128 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1157549125507677 Order of pole (three term test) 22.98641628284872 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.409999999999908 y1[1] (analytic) 1.9919697873023576 y1[1] (numeric) 1.991969787302343 absolute error 1.4654943925052066e-14 relative error 7.357011144681392e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.126475061096311 y2[1] (numeric) 1.1264750610964007 absolute error 8.970602038971265e-14 relative error 7.963427108844178e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.12545943945484814 Order of pole (three term test) 22.015995941079336 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1254594394548482 Order of pole (three term test) 22.984004058920657 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.419999999999908 y1[1] (analytic) 1.9906554596944201 y1[1] (numeric) 1.9906554596944046 absolute error 1.554312234475219e-14 relative error 7.808042456095427e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.1363882699415062 y2[1] (numeric) 1.136388269941596 absolute error 8.970602038971265e-14 relative error 7.893958672622529e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1351137842559171 Order of pole (three term test) 22.018601760177663 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.13511378425591716 Order of pole (three term test) 22.98139823982234 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.429999999999907 y1[1] (analytic) 1.9892420673660567 y1[1] (numeric) 1.9892420673660403 absolute error 1.6431300764452317e-14 relative error 8.260081080131641e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.1462878400733636 y2[1] (numeric) 1.1462878400734533 absolute error 8.970602038971265e-14 relative error 7.825784873018575e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14471408534477653 Order of pole (three term test) 22.02140013215336 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.14471408534477656 Order of pole (three term test) 22.978599867846647 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.439999999999907 y1[1] (analytic) 1.9877297516553225 y1[1] (numeric) 1.987729751655305 absolute error 1.7541523789077473e-14 relative error 8.824903775007347e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.1561727815431198 y2[1] (numeric) 1.1561727815432095 absolute error 8.970602038971265e-14 relative error 7.75887668536738e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15425650272899358 Order of pole (three term test) 22.02438993769494 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.15425650272899358 Order of pole (three term test) 22.97561006230505 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.449999999999907 y1[1] (analytic) 1.9861186637925279 y1[1] (numeric) 1.9861186637925097 absolute error 1.8207657603852567e-14 relative error 9.167457078865939e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.1660421058648653 y2[1] (numeric) 1.166042105864955 absolute error 8.970602038971265e-14 relative error 7.693205926142503e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16373721956884496 Order of pole (three term test) 22.027569980920074 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.16373721956884493 Order of pole (three term test) 22.97243001907993 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.459999999999907 y1[1] (analytic) 1.984408964885117 y1[1] (numeric) 1.9844089648850978 absolute error 1.9317880628477724e-14 relative error 9.73482833947794e-13% Correct digits 15 h 0.01 y2[1] (analytic) 1.1758948261143922 y2[1] (numeric) 1.175894826114482 absolute error 8.970602038971265e-14 relative error 7.628745224276201e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17315244370400254 Order of pole (three term test) 22.030938989853844 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.17315244370400254 Order of pole (three term test) 22.96906101014616 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.4699999999999065 y1[1] (analytic) 1.9826008259015557 y1[1] (numeric) 1.9826008259015355 absolute error 2.020605904817785e-14 relative error 1.0191693044912088e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.1857299570278863 y2[1] (numeric) 1.185729957027976 absolute error 8.970602038971265e-14 relative error 7.565467993620315e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18249840917034718 Order of pole (three term test) 22.034495616937612 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.18249840917034715 Order of pole (three term test) 22.965504383062385 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.479999999999906 y1[1] (analytic) 1.9806944276542358 y1[1] (numeric) 1.9806944276542144 absolute error 2.1316282072803006e-14 relative error 1.0762024558249592e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.1955465151004518 y2[1] (numeric) 1.1955465151005418 absolute error 8.992806499463768e-14 relative error 7.521921051066907e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19177137770630323 Order of pole (three term test) 22.038238439567966 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.19177137770630326 Order of pole (three term test) 22.961761560432034 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.489999999999906 y1[1] (analytic) 1.9786899607813926 y1[1] (numeric) 1.9786899607813706 absolute error 2.19824158875781e-14 relative error 1.1109580744472548e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.2053435186844625 y2[1] (numeric) 1.2053435186845523 absolute error 8.970602038971265e-14 relative error 7.442361368286088e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20096764024809424 Order of pole (three term test) 22.042165960665752 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.20096764024809433 Order of pole (three term test) 22.95783403933425 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.499999999999906 y1[1] (analytic) 1.976587625728044 y1[1] (numeric) 1.9765876257280208 absolute error 2.3092638912203256e-14 relative error 1.16830838216431e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.2151199880877237 y2[1] (numeric) 1.2151199880878134 absolute error 8.970602038971265e-14 relative error 7.382482493015863e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2100835184133192 Order of pole (three term test) 22.046276609274905 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.21008351841331924 Order of pole (three term test) 22.9537233907251 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.509999999999906 y1[1] (analytic) 1.9743876327259424 y1[1] (numeric) 1.9743876327259184 absolute error 2.398081733190338e-14 relative error 1.2145951957161632e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.224874945671442 y2[1] (numeric) 1.2248749456715318 absolute error 8.970602038971265e-14 relative error 7.323688079891154e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21911536597225467 Order of pole (three term test) 22.05056874119078 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.21911536597225464 Order of pole (three term test) 22.949431258809224 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.519999999999905 y1[1] (analytic) 1.9720902017725555 y1[1] (numeric) 1.9720902017725306 absolute error 2.4868995751603507e-14 relative error 1.2610475793272913e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.2346074159479885 y2[1] (numeric) 1.2346074159480782 absolute error 8.970602038971265e-14 relative error 7.265955090738883e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.228059570306301 Order of pole (three term test) 22.05504063961784 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.228059570306301 Order of pole (three term test) 22.944959360382164 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.529999999999905 y1[1] (analytic) 1.9696955626090638 y1[1] (numeric) 1.969695562609038 absolute error 2.5757174171303632e-14 relative error 1.3076728536254412e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.2443164256784456 y2[1] (numeric) 1.2443164256785353 absolute error 8.970602038971265e-14 relative error 7.209261128318043e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23691255385297796 Order of pole (three term test) 22.059690515856335 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.236912553852978 Order of pole (three term test) 22.94030948414366 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.539999999999905 y1[1] (analytic) 1.9672039546973878 y1[1] (numeric) 1.9672039546973614 absolute error 2.6423307986078726e-14 relative error 1.3431910770097747e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.2540010039699312 y2[1] (numeric) 1.254001003970021 absolute error 8.970602038971265e-14 relative error 7.153584415460615e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24567077553690558 Order of pole (three term test) 22.06451651001778 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.24567077553690564 Order of pole (three term test) 22.93548348998222 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.549999999999905 y1[1] (analytic) 1.9646156271962432 y1[1] (numeric) 1.9646156271962156 absolute error 2.7533531010703882e-14 relative error 1.4014716481715936e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.2636601823726867 y2[1] (numeric) 1.2636601823727762 absolute error 8.948397578478762e-14 relative error 7.081332231009272e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.25433073218618557 Order of pole (three term test) 22.069516691768847 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2543307321861856 Order of pole (three term test) 22.930483308231153 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.559999999999905 y1[1] (analytic) 1.9619308389362224 y1[1] (numeric) 1.9619308389361938 absolute error 2.864375403532904e-14 relative error 1.4599777661306326e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.273292994976921 y2[1] (numeric) 1.2732929949770104 absolute error 8.948397578478762e-14 relative error 7.027760000078345e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2628889599336223 Order of pole (three term test) 22.074689061103506 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.26288895993362243 Order of pole (three term test) 22.92531093889649 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.569999999999904 y1[1] (analytic) 1.9591498583939144 y1[1] (numeric) 1.959149858393885 absolute error 2.9531932455029164e-14 relative error 1.5073850695239342e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.2828984785094009 y2[1] (numeric) 1.2828984785094903 absolute error 8.948397578478762e-14 relative error 6.9751408458102625e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2713420356022247 Order of pole (three term test) 22.080031549142983 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.27134203560222464 Order of pole (three term test) 22.919968450857006 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.579999999999904 y1[1] (analytic) 1.956272963665056 y1[1] (numeric) 1.9562729636650253 absolute error 3.064215547965432e-14 relative error 1.5663537782706243e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.292475672429778 y2[1] (numeric) 1.2924756724298672 absolute error 8.926193117986259e-14 relative error 6.906275536471447e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2796865780744318 Order of pole (three term test) 22.085542018963306 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2796865780744318 Order of pole (three term test) 22.914457981036698 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.589999999999904 y1[1] (analytic) 1.9533004424367224 y1[1] (numeric) 1.9533004424366909 absolute error 3.1530333899354446e-14 relative error 1.6142080969387727e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.3020236190266408 y2[1] (numeric) 1.30202361902673 absolute error 8.926193117986259e-14 relative error 6.8556307178661245e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.28791924964451404 Order of pole (three term test) 22.091218266450003 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.28791924964451404 Order of pole (three term test) 22.90878173355 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.599999999999904 y1[1] (analytic) 1.9502325919585595 y1[1] (numeric) 1.950232591958527 absolute error 3.241851231905457e-14 relative error 1.6622895367827713e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.3115413635132867 y2[1] (numeric) 1.3115413635133757 absolute error 8.903988657493755e-14 relative error 6.788949937226706e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.29603675735361046 Order of pole (three term test) 22.097058021179773 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2960367573536105 Order of pole (three term test) 22.902941978820227 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.6099999999999035 y1[1] (analytic) 1.9470697190130586 y1[1] (numeric) 1.9470697190130253 absolute error 3.3306690738754696e-14 relative error 1.7106059641067899e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.3210279541231982 y2[1] (numeric) 1.321027954123287 absolute error 8.881784197001252e-14 relative error 6.723388531847028e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.30403585430686947 Order of pole (three term test) 22.103058947328584 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3040358543068694 Order of pole (three term test) 22.89694105267142 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.619999999999903 y1[1] (analytic) 1.9438121398848787 y1[1] (numeric) 1.9438121398848442 absolute error 3.441691376337985e-14 relative error 1.7705884770026272e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.3304824422052195 y2[1] (numeric) 1.3304824422053083 absolute error 8.881784197001252e-14 relative error 6.675611729441587e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3119133409721635 Order of pole (three term test) 22.109218644605985 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3119133409721635 Order of pole (three term test) 22.89078135539401 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.629999999999903 y1[1] (analytic) 1.9404601803292176 y1[1] (numeric) 1.9404601803291823 absolute error 3.530509218307998e-14 relative error 1.8194185348905294e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.3399038823184217 y2[1] (numeric) 1.3399038823185103 absolute error 8.859579736508749e-14 relative error 6.612100952479599e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3196660664598573 Order of pole (three term test) 22.115534649215196 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3196660664598574 Order of pole (three term test) 22.884465350784808 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.639999999999903 y1[1] (analytic) 1.9370141755392378 y1[1] (numeric) 1.9370141755392016 absolute error 3.6193270602780103e-14 relative error 1.8685082979686713e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.3492913323266442 y2[1] (numeric) 1.3492913323267326 absolute error 8.837375276016246e-14 relative error 6.549642070832516e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3272909297831246 Order of pole (three term test) 22.122004434838587 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3272909297831245 Order of pole (three term test) 22.877995565161417 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.649999999999903 y1[1] (analytic) 1.933474470112547 y1[1] (numeric) 1.9334744701125095 absolute error 3.752553823233029e-14 relative error 1.94083443109264e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.3586438534927092 y2[1] (numeric) 1.3586438534927974 absolute error 8.815170815523743e-14 relative error 6.488213075753665e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3347848810982997 Order of pole (three term test) 22.128625413648162 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3347848810982997 Order of pole (three term test) 22.87137458635184 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.659999999999902 y1[1] (analytic) 1.9298414180167374 y1[1] (numeric) 1.929841418016699 absolute error 3.8413716652030416e-14 relative error 1.990511567085522e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.3679605105722938 y2[1] (numeric) 1.3679605105723818 absolute error 8.79296635503124e-14 relative error 6.4277925328068525e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.34214492292477416 Order of pole (three term test) 22.135394937340685 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3421449229247741 Order of pole (three term test) 22.864605062659304 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.669999999999902 y1[1] (analytic) 1.9261153825539914 y1[1] (numeric) 1.926115382553952 absolute error 3.930189507173054e-14 relative error 2.040474596055455e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.377240371907454 y2[1] (numeric) 1.3772403719075417 absolute error 8.770761894538737e-14 relative error 6.368359564127055e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3493681113439503 Order of pole (three term test) 22.14231029819694 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3493681113439503 Order of pole (three term test) 22.857689701803057 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.679999999999902 y1[1] (analytic) 1.9222967363247503 y1[1] (numeric) 1.92229673632471 absolute error 4.0190073491430667e-14 relative error 2.0907320254972857e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.3864825095197892 y2[1] (numeric) 1.3864825095198767 absolute error 8.748557434046234e-14 relative error 6.3098938313158476e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3564515571767684 Order of pole (three term test) 22.149368730164785 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.35645155717676846 Order of pole (three term test) 22.850631269835223 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.689999999999902 y1[1] (analytic) 1.9183858611904547 y1[1] (numeric) 1.9183858611904137 absolute error 4.107825191113079e-14 relative error 2.141292465825393e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.3956859992032402 y2[1] (numeric) 1.3956859992033275 absolute error 8.72635297355373e-14 relative error 6.252375518945788e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3633924271393397 Order of pole (three term test) 22.156567409965536 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.36339242713933984 Order of pole (three term test) 22.843432590034464 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.699999999999902 y1[1] (analytic) 1.9143831482353593 y1[1] (numeric) 1.914383148235317 absolute error 4.218847493575595e-14 relative error 2.2037633884650756e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.4048499206165082 y2[1] (numeric) 1.4048499206165952 absolute error 8.704148513061227e-14 relative error 6.19578531864918e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.37018794497622287 Order of pole (three term test) 22.16390345822326 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3701879449762229 Order of pole (three term test) 22.836096541776726 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.709999999999901 y1[1] (analytic) 1.9102889977274238 y1[1] (numeric) 1.9102889977273805 absolute error 4.3298697960381105e-14 relative error 2.2666045824423123e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.4139733573750883 y2[1] (numeric) 1.4139733573751752 absolute error 8.681944052568724e-14 relative error 6.140104413767708e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3768353925708894 Order of pole (three term test) 22.17137394061648 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3768353925708895 Order of pole (three term test) 22.82862605938353 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.719999999999901 y1[1] (analytic) 1.9061038190782869 y1[1] (numeric) 1.9061038190782427 absolute error 4.418687638008123e-14 relative error 2.318177842036337e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.4230553971429076 y2[1] (numeric) 1.4230553971429942 absolute error 8.659739592076221e-14 relative error 6.085314464540542e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.38333211103293235 Order of pole (three term test) 22.17897586905182 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.38333211103293247 Order of pole (three term test) 22.82102413094818 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.729999999999901 y1[1] (analytic) 1.9018280308023263 y1[1] (numeric) 1.901828030802281 absolute error 4.529709940470639e-14 relative error 2.381766314885834e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.4320951317235573 y2[1] (numeric) 1.4320951317236439 absolute error 8.659739592076221e-14 relative error 6.0469024719426555e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3896755017615888 Order of pole (three term test) 22.186706202859273 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3896755017615889 Order of pole (three term test) 22.813293797140723 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.739999999999901 y1[1] (analytic) 1.8974620604748065 y1[1] (numeric) 1.89746206047476 absolute error 4.6407322429331543e-14 relative error 2.445757593578389e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.4410916571511132 y2[1] (numeric) 1.4410916571511994 absolute error 8.615330671091215e-14 relative error 5.9783363732205754e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.39586302748514446 Order of pole (three term test) 22.19456185000839 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3958630274851445 Order of pole (three term test) 22.80543814999161 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.7499999999999005 y1[1] (analytic) 1.8930063446891214 y1[1] (numeric) 1.8930063446890741 absolute error 4.729550084903167e-14 relative error 2.4984332980034867e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.450044073780529 y2[1] (numeric) 1.4500440737806148 absolute error 8.593126210598712e-14 relative error 5.9261138099029415e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.40189221327580976 Order of pole (three term test) 22.202539668345054 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.40189221327580976 Order of pole (three term test) 22.797460331654943 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.7599999999999 y1[1] (analytic) 1.8884613290131371 y1[1] (numeric) 1.888461329013089 absolute error 4.8183679268731794e-14 relative error 2.5514782076004377e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.4589514863776019 y2[1] (numeric) 1.4589514863776878 absolute error 8.593126210598712e-14 relative error 5.889932798200435e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.40776064753965585 Order of pole (three term test) 22.21063646684829 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.40776064753965585 Order of pole (three term test) 22.789363533151707 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.7699999999999 y1[1] (analytic) 1.8838274679446334 y1[1] (numeric) 1.8838274679445843 absolute error 4.907185768843192e-14 relative error 2.6049019097259584e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.4678130042084956 y2[1] (numeric) 1.467813004208581 absolute error 8.548717289613705e-14 relative error 5.824118784274923e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.413465982981222 Order of pole (three term test) 22.21884900690666 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.413465982981222 Order of pole (three term test) 22.781150993093345 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.7799999999999 y1[1] (analytic) 1.8791052248658557 y1[1] (numeric) 1.8791052248658058 absolute error 4.9960036108132044e-14 relative error 2.658714128778954e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.4766277411288113 y2[1] (numeric) 1.4766277411288964 absolute error 8.504308368628699e-14 relative error 5.759277122971807e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.41900593754240234 Order of pole (three term test) 22.227174003613634 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4190059375424023 Order of pole (three term test) 22.772825996386366 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.7899999999999 y1[1] (analytic) 1.8742950719971767 y1[1] (numeric) 1.8742950719971259 absolute error 5.084821452783217e-14 relative error 2.7129247303441005e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.4853948156722026 y2[1] (numeric) 1.4853948156722874 absolute error 8.482103908136196e-14 relative error 5.710336281399833e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.42437829531523696 Order of pole (three term test) 22.23560812708154 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.42437829531523685 Order of pole (three term test) 22.764391872918466 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.7999999999998995 y1[1] (analytic) 1.869397490349875 y1[1] (numeric) 1.869397490349823 absolute error 5.1958437552457326e-14 relative error 2.779421595496677e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.494113351138521 y2[1] (numeric) 1.4941133511386053 absolute error 8.43769498715119e-14 relative error 5.647292409723552e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.42958090742824717 Order of pole (three term test) 22.244148003773425 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.42958090742824734 Order of pole (three term test) 22.75585199622658 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.809999999999899 y1[1] (analytic) 1.8644129696780334 y1[1] (numeric) 1.8644129696779805 absolute error 5.284661597215745e-14 relative error 2.834490900440559e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.5027824756814852 y2[1] (numeric) 1.5027824756815693 absolute error 8.415490526658687e-14 relative error 5.599939221305074e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4346116929059553 Order of pole (three term test) 22.25279021785249 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4346116929059553 Order of pole (three term test) 22.74720978214751 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.819999999999899 y1[1] (analytic) 1.859342008429566 y1[1] (numeric) 1.859342008429512 absolute error 5.395683899678261e-14 relative error 2.9019319066724866e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.5114013223958653 y2[1] (numeric) 1.511401322395949 absolute error 8.37108160567368e-14 relative error 5.538622655433361e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4394686395012463 Order of pole (three term test) 22.261531312548325 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.43946863950124626 Order of pole (three term test) 22.73846868745167 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.829999999999899 y1[1] (analytic) 1.8541851136963716 y1[1] (numeric) 1.8541851136963166 absolute error 5.5067062021407764e-14 relative error 2.9698794157412894e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.5199690294041721 y2[1] (numeric) 1.5199690294042556 absolute error 8.348877145181177e-14 relative error 5.492794250192017e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4441498045002406 Order of pole (three term test) 22.2703677915396 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.44414980450024066 Order of pole (three term test) 22.729632208460394 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.839999999999899 y1[1] (analytic) 1.848942801163626 y1[1] (numeric) 1.84894280116357 absolute error 5.595524044110789e-14 relative error 3.0263370184244017e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.528484739942845 y2[1] (numeric) 1.5284847399429278 absolute error 8.282263763703668e-14 relative error 5.418610698078261e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4486533154993534 Order of pole (three term test) 22.279296120352544 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4486533154993533 Order of pole (three term test) 22.720703879647452 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.849999999999898 y1[1] (analytic) 1.843615595058214 y1[1] (numeric) 1.8436155950581572 absolute error 5.684341886080802e-14 relative error 3.0832576494349478e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.5369476024479256 y2[1] (numeric) 1.5369476024480082 absolute error 8.260059303211165e-14 relative error 5.3743271989592955e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.45297737115423037 Order of pole (three term test) 22.288312727774667 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4529773711542305 Order of pole (three term test) 22.711687272225337 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.859999999999898 y1[1] (analytic) 1.8382040280963068 y1[1] (numeric) 1.838204028096249 absolute error 5.773159728050814e-14 relative error 3.1406523105216195e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.5453567706402165 y2[1] (numeric) 1.5453567706402986 absolute error 8.215650382226158e-14 relative error 5.316345415060722e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4571202419002637 Order of pole (three term test) 22.297414007283216 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4571202419002636 Order of pole (three term test) 22.702585992716777 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.869999999999898 y1[1] (analytic) 1.832708641430091 y1[1] (numeric) 1.8327086414300324 absolute error 5.861977570020827e-14 relative error 3.1985321820966775e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.5537114036099058 y2[1] (numeric) 1.5537114036099875 absolute error 8.171241461241152e-14 relative error 5.259175830373661e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46108027064439244 Order of pole (three term test) 22.30659631848775 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.46108027064439244 Order of pole (three term test) 22.693403681512255 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.879999999999898 y1[1] (analytic) 1.827129984593654 y1[1] (numeric) 1.8271299845935944 absolute error 5.950795411990839e-14 relative error 3.256908628377784e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.5620106659006585 y2[1] (numeric) 1.56201066590074 absolute error 8.149037000748649e-14 relative error 5.217017513801609e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46485587342791823 Order of pole (three term test) 22.3158559885862 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.46485587342791806 Order of pole (three term test) 22.684144011413803 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.8899999999998975 y1[1] (analytic) 1.8214686154480302 y1[1] (numeric) 1.8214686154479698 absolute error 6.039613253960852e-14 relative error 3.3157932026598637e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.570253727593162 y2[1] (numeric) 1.570253727593243 absolute error 8.104628079763643e-14 relative error 5.161349364975668e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46844554006006817 Order of pole (three term test) 22.325189313833995 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.46844554006006833 Order of pole (three term test) 22.67481068616601 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.899999999999897 y1[1] (analytic) 1.8157251001254164 y1[1] (numeric) 1.8157251001253552 absolute error 6.128431095930864e-14 relative error 3.3751976527215263e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.578439764388116 y2[1] (numeric) 1.5784397643881967 absolute error 8.060219158778636e-14 relative error 5.106447100883314e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4718478347220517 Order of pole (three term test) 22.334592561025477 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4718478347220518 Order of pole (three term test) 22.665407438974526 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.909999999999897 y1[1] (analytic) 1.8099000129725589 y1[1] (numeric) 1.8099000129724967 absolute error 6.217248937900877e-14 relative error 3.4351339263707384e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.5865679576886629 y2[1] (numeric) 1.586567957688743 absolute error 8.01581023779363e-14 relative error 5.052295553397655e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47506139654136686 Order of pole (three term test) 22.34406196898715 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4750613965413669 Order of pole (three term test) 22.655938031012848 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.919999999999897 y1[1] (analytic) 1.8039939364933184 y1[1] (numeric) 1.8039939364932553 absolute error 6.306066779870889e-14 relative error 3.4956141771345944e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.594637494682246 y2[1] (numeric) 1.5946374946823254 absolute error 7.949196856316121e-14 relative error 4.984955441487415e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4780849401361333 Order of pole (three term test) 22.353593750082076 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.47808494013613323 Order of pole (three term test) 22.646406249917924 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.929999999999897 y1[1] (analytic) 1.7980074612904213 y1[1] (numeric) 1.7980074612903574 absolute error 6.394884621840902e-14 relative error 3.5566507700982083e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.6026475684218902 y2[1] (numeric) 1.6026475684219692 absolute error 7.904787935331115e-14 relative error 4.932330782565548e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4809172561292258 Order of pole (three term test) 22.363184091724914 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4809172561292258 Order of pole (three term test) 22.636815908275086 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.9399999999998965 y1[1] (analytic) 1.7919411860063992 y1[1] (numeric) 1.7919411860063343 absolute error 6.483702463810914e-14 relative error 3.618256287897922e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.6105973779068967 y2[1] (numeric) 1.6105973779069755 absolute error 7.882583474838611e-14 relative error 4.894198626526187e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48355721163201126 Order of pole (three term test) 22.372829157906875 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.48355721163201143 Order of pole (three term test) 22.627170842093122 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.949999999999896 y1[1] (analytic) 1.7857957172637253 y1[1] (numeric) 1.7857957172636594 absolute error 6.59472476627343e-14 relative error 3.692877467742031e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.6184861281629424 y2[1] (numeric) 1.6184861281630205 absolute error 7.815970093361102e-14 relative error 4.829185717045715e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4860037506974875 Order of pole (three term test) 22.382525090730084 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4860037506974875 Order of pole (three term test) 22.617474909269912 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.959999999999896 y1[1] (analytic) 1.7795716696041526 y1[1] (numeric) 1.7795716696040857 absolute error 6.683542608243442e-14 relative error 3.75570297190117e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.6263130303215747 y2[1] (numeric) 1.6263130303216526 absolute error 7.793765632868599e-14 relative error 4.792291205665074e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4882558947426483 Order of pole (three term test) 22.392268011950694 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.48825589474264847 Order of pole (three term test) 22.60773198804931 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.969999999999896 y1[1] (analytic) 1.7732696654272604 y1[1] (numeric) 1.7732696654271927 absolute error 6.772360450213455e-14 relative error 3.819137372195271e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.634077301699101 y2[1] (numeric) 1.6340773016991783 absolute error 7.72715225139109e-14 relative error 4.728755636808893e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49031274293990407 Order of pole (three term test) 22.402054024530113 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.490312742939904 Order of pole (three term test) 22.597945975469887 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.979999999999896 y1[1] (analytic) 1.7668903349282146 y1[1] (numeric) 1.766890334928146 absolute error 6.861178292183467e-14 relative error 3.883194195219945e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.6417781658748534 y2[1] (numeric) 1.6417781658749302 absolute error 7.682743330406083e-14 relative error 4.679525827603015e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49217347257739963 Order of pole (three term test) 22.411879214193792 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49217347257739963 Order of pole (three term test) 22.588120785806208 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.989999999999895 y1[1] (analytic) 1.760434316034749 y1[1] (numeric) 1.7604343160346796 absolute error 6.94999613415348e-14 relative error 3.947887217858741e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.6494148527688317 y2[1] (numeric) 1.6494148527689079 absolute error 7.616129948928574e-14 relative error 4.617473849070515e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49383733938809 Order of pole (three term test) 22.42173965099687 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49383733938808994 Order of pole (three term test) 22.578260349003138 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.999999999999895 y1[1] (analytic) 1.7539022543433735 y1[1] (numeric) 1.753902254343303 absolute error 7.061018436615996e-14 relative error 4.025890507370094e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.65698659871871 y2[1] (numeric) 1.656986598718786 absolute error 7.593925488436071e-14 relative error 4.582973389349189e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49530367784743495 Order of pole (three term test) 22.43163139089608 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.495303677847435 Order of pole (three term test) 22.568368609103917 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.009999999999895 y1[1] (analytic) 1.7472948030548132 y1[1] (numeric) 1.7472948030547417 absolute error 7.149836278586008e-14 relative error 4.091946170781185e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.6644926465562038 y2[1] (numeric) 1.664492646556279 absolute error 7.527312106958561e-14 relative error 4.52228618884703e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.496571901439602 Order of pole (three term test) 22.441550477327368 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49657190143960195 Order of pole (three term test) 22.558449522672625 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.019999999999895 y1[1] (analytic) 1.7406126229086911 y1[1] (numeric) 1.7406126229086187 absolute error 7.238654120556021e-14 relative error 4.158681848727317e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.6719322456827839 y2[1] (numeric) 1.6719322456828585 absolute error 7.460698725481052e-14 relative error 4.4623212123253544e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49764150289206366 Order of pole (three term test) 22.451492942788416 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49764150289206355 Order of pole (three term test) 22.548507057211587 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.0299999999998946 y1[1] (analytic) 1.733856382117453 y1[1] (numeric) 1.73385638211738 absolute error 7.30526750203353e-14 relative error 4.213306002376074e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.6793046521447375 y2[1] (numeric) 1.6793046521448114 absolute error 7.394085344003543e-14 relative error 4.403063693392457e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49851205437849977 Order of pole (three term test) 22.461454810425586 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4985120543784999 Order of pole (three term test) 22.53854518957441 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.039999999999894 y1[1] (analytic) 1.7270267562995485 y1[1] (numeric) 1.7270267562994746 absolute error 7.394085344003543e-14 relative error 4.281395940759274e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.6866091287075617 y2[1] (numeric) 1.6866091287076352 absolute error 7.349676423018536e-14 relative error 4.357664320630441e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4991832076899236 Order of pole (three term test) 22.47143209562466 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4991832076899238 Order of pole (three term test) 22.528567904375343 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.049999999999894 y1[1] (analytic) 1.7201244284118675 y1[1] (numeric) 1.7201244284117927 absolute error 7.482903185973555e-14 relative error 4.3502104047683724e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.6938449449296877 y2[1] (numeric) 1.6938449449297606 absolute error 7.283063041541027e-14 relative error 4.299722393919208e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4996546943739587 Order of pole (three term test) 22.481420807604582 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4996546943739589 Order of pole (three term test) 22.518579192395418 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.059999999999894 y1[1] (analytic) 1.7131500886814468 y1[1] (numeric) 1.7131500886813713 absolute error 7.549516567451064e-14 relative error 4.406803943991661e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.7010113772355226 y2[1] (numeric) 1.701011377235595 absolute error 7.238654120556021e-14 relative error 4.255500120357957e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4999263258422181 Order of pole (three term test) 22.49141695101375 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4999263258422182 Order of pole (three term test) 22.508583048986253 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.069999999999894 y1[1] (analytic) 1.706104434536448 y1[1] (numeric) 1.7061044345363716 absolute error 7.638334409421077e-14 relative error 4.477061459310038e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.7081077089878085 y2[1] (numeric) 1.7081077089878802 absolute error 7.172040739078511e-14 relative error 4.198822299870378e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4999979934457361 Order of pole (three term test) 22.50141652752807 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.499997993445736 Order of pole (three term test) 22.498583472471932 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.0799999999998935 y1[1] (analytic) 1.6989881705364138 y1[1] (numeric) 1.6989881705363366 absolute error 7.72715225139109e-14 relative error 4.5480906726686805e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.7151332305592835 y2[1] (numeric) 1.7151332305593545 absolute error 7.105427357601002e-14 relative error 4.142784496854516e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49986966851842657 Order of pole (three term test) 22.51141553745026 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49986966851842646 Order of pole (three term test) 22.488584462549735 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.089999999999893 y1[1] (analytic) 1.6918020083018144 y1[1] (numeric) 1.6918020083017362 absolute error 7.815970093361102e-14 relative error 4.619908272367264e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.7220872394036446 y2[1] (numeric) 1.7220872394037152 absolute error 7.061018436615996e-14 relative error 4.1002675561670225e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4995414023885499 Order of pole (three term test) 22.52140998130968 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49954140238854977 Order of pole (three term test) 22.47859001869032 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.099999999999893 y1[1] (analytic) 1.6845466664428843 y1[1] (numeric) 1.6845466664428053 absolute error 7.904787935331115e-14 relative error 4.692531286190481e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.7289690401258029 y2[1] (numeric) 1.7289690401258728 absolute error 6.994405055138486e-14 relative error 4.0454194915078186e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.499013326358181 Order of pole (three term test) 22.531395861462045 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49901332635818085 Order of pole (three term test) 22.468604138537962 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.109999999999893 y1[1] (analytic) 1.6772228704877636 y1[1] (numeric) 1.6772228704876837 absolute error 7.993605777301127e-14 relative error 4.765977091032903e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.7357779445514208 y2[1] (numeric) 1.73577794455149 absolute error 6.927791673660977e-14 relative error 3.9911739260238926e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49828565165069094 Order of pole (three term test) 22.541369183688413 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.498285651650691 Order of pole (three term test) 22.458630816311583 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.119999999999893 y1[1] (analytic) 1.6698313528099447 y1[1] (numeric) 1.669831352809864 absolute error 8.060219158778636e-14 relative error 4.826965995826542e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.7425132717957297 y2[1] (numeric) 1.7425132717957983 absolute error 6.861178292183467e-14 relative error 3.937518527541973e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49735866932626105 Order of pole (three term test) 22.551325958792905 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49735866932626094 Order of pole (three term test) 22.448674041207095 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.129999999999892 y1[1] (analytic) 1.6623728525550359 y1[1] (numeric) 1.6623728525549542 absolute error 8.171241461241152e-14 relative error 4.9154083866817886e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.7491743483316182 y2[1] (numeric) 1.749174348331686 absolute error 6.772360450213455e-14 relative error 3.871746951167565e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4962327501654609 Order of pole (three term test) 22.561262204198204 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.496232750165461 Order of pole (three term test) 22.43873779580179 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.139999999999892 y1[1] (analytic) 1.6548481155668469 y1[1] (numeric) 1.6548481155667645 absolute error 8.237854842718662e-14 relative error 4.978012643714369e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.7557605080569834 y2[1] (numeric) 1.7557605080570504 absolute error 6.705747068735946e-14 relative error 3.819283460337582e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49490834452094307 Order of pole (three term test) 22.571173945538654 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49490834452094307 Order of pole (three term test) 22.428826054461343 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.149999999999892 y1[1] (analytic) 1.6472578943128062 y1[1] (numeric) 1.647257894312723 absolute error 8.326672684688674e-14 relative error 5.0548688905584805e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.762271092361341 y2[1] (numeric) 1.7622710923614076 absolute error 6.661338147750939e-14 relative error 3.779973567418128e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49338598213730706 Order of pole (three term test) 22.58105721824986 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49338598213730706 Order of pole (three term test) 22.418942781750147 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.159999999999892 y1[1] (analytic) 1.6396029478087142 y1[1] (numeric) 1.63960294780863 absolute error 8.415490526658687e-14 relative error 5.132639300207265e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.7687054501916863 y2[1] (numeric) 1.7687054501917523 absolute error 6.59472476627343e-14 relative error 3.728560210835962e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4916662719392078 Order of pole (three term test) 22.59090806915451 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4916662719392079 Order of pole (three term test) 22.40909193084549 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.169999999999892 y1[1] (analytic) 1.6318840415428417 y1[1] (numeric) 1.631884041542757 absolute error 8.482103908136196e-14 relative error 5.197736905446364e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.7750629381175984 y2[1] (numeric) 1.7750629381176635 absolute error 6.505906924303417e-14 relative error 3.665169715730045e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48974990178779604 Order of pole (three term test) 22.60072255804359 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.48974990178779615 Order of pole (three term test) 22.399277441956414 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.179999999999891 y1[1] (analytic) 1.6241019473993834 y1[1] (numeric) 1.6241019473992977 absolute error 8.570921750106208e-14 relative error 5.2773298891923134e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.7813429203955824 y2[1] (numeric) 1.7813429203956466 absolute error 6.417089082333405e-14 relative error 3.602388405320837e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4876376382055806 Order of pole (three term test) 22.6104967592524 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4876376382055806 Order of pole (three term test) 22.3895032407476 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.189999999999891 y1[1] (analytic) 1.6162574435812682 y1[1] (numeric) 1.6162574435811818 absolute error 8.637535131583718e-14 relative error 5.344157990353848e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.7875447690326436 y2[1] (numeric) 1.787544769032707 absolute error 6.350475700855895e-14 relative error 3.5526247011382823e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4853303260698317 Order of pole (three term test) 22.62022676323079 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4853303260698316 Order of pole (three term test) 22.37977323676922 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.199999999999891 y1[1] (analytic) 1.6083513145323414 y1[1] (numeric) 1.608351314532254 absolute error 8.72635297355373e-14 relative error 5.425651034513615e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.7936678638490866 y2[1] (numeric) 1.7936678638491494 absolute error 6.283862319378386e-14 relative error 3.503358925042931e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48282888827463916 Order of pole (three term test) 22.629908678106876 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.48282888827463927 Order of pole (three term test) 22.370091321893128 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.209999999999891 y1[1] (analytic) 1.6003843508589188 y1[1] (numeric) 1.6003843508588307 absolute error 8.815170815523743e-14 relative error 5.508158593773228e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.7997115925405325 y2[1] (numeric) 1.7997115925405947 absolute error 6.217248937900877e-14 relative error 3.4545807026360275e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4801343253617697 Order of pole (three term test) 22.639538631243816 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.48013432536176964 Order of pole (three term test) 22.360461368756184 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.2199999999998905 y1[1] (analytic) 1.592357349250729 y1[1] (numeric) 1.5923573492506402 absolute error 8.881784197001252e-14 relative error 5.577758159109515e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.8056753507391485 y2[1] (numeric) 1.8056753507392098 absolute error 6.128431095930864e-14 relative error 3.3939828072760734e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47724771512046105 Order of pole (three term test) 22.64911277078875 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4772477151204612 Order of pole (three term test) 22.35088722921125 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.22999999999989 y1[1] (analytic) 1.5842711124012436 y1[1] (numeric) 1.5842711124011541 absolute error 8.948397578478762e-14 relative error 5.648274154867268e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.8115585420740845 y2[1] (numeric) 1.811558542074145 absolute error 6.039613253960852e-14 relative error 3.333932143890859e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47417021215632243 Order of pole (three term test) 22.658627267213518 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4741702121563224 Order of pole (three term test) 22.341372732786485 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.23999999999989 y1[1] (analytic) 1.576126448927409 y1[1] (numeric) 1.5761264489273188 absolute error 9.015010959956271e-14 relative error 5.719725702269128e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.8173605782311095 y2[1] (numeric) 1.8173605782311693 absolute error 5.972999872483342e-14 relative error 3.2866344433953985e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47090304742950634 Order of pole (three term test) 22.668078314846394 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.47090304742950634 Order of pole (three term test) 22.331921685153603 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.24999999999989 y1[1] (analytic) 1.5679241732887856 y1[1] (numeric) 1.5679241732886946 absolute error 9.103828801926284e-14 relative error 5.80629405236519e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.8230808790114428 y2[1] (numeric) 1.8230808790115018 absolute error 5.906386491005833e-14 relative error 3.239783028281523e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.467447527762342 Order of pole (three term test) 22.677462133394346 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.46744752776234205 Order of pole (three term test) 22.32253786660565 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.25999999999989 y1[1] (analytic) 1.5596651057061017 y1[1] (numeric) 1.55966510570601 absolute error 9.170442183403793e-14 relative error 5.879750819488964e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.8287188723897736 y2[1] (numeric) 1.8287188723898318 absolute error 5.81756864903582e-14 relative error 3.181226342042071e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46380503531662354 Order of pole (three term test) 22.68677496945508 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4638050353166236 Order of pole (three term test) 22.313225030544924 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.269999999999889 y1[1] (analytic) 1.5513500720792335 y1[1] (numeric) 1.5513500720791409 absolute error 9.259260025373806e-14 relative error 5.96851748165639e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.8342739945714621 y2[1] (numeric) 1.8342739945715196 absolute error 5.750955267558311e-14 relative error 3.1352760190561908e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4599770270407629 Order of pole (three term test) 22.696013098018323 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4599770270407629 Order of pole (three term test) 22.303986901981677 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.279999999999889 y1[1] (analytic) 1.542979903904614 y1[1] (numeric) 1.5429799039045207 absolute error 9.325873406851315e-14 relative error 6.044066668173427e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.8397456900489195 y2[1] (numeric) 1.8397456900489761 absolute error 5.6621374255882984e-14 relative error 3.0776739721226034e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.45596503408703143 Order of pole (three term test) 22.705172823955834 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4559650340870315 Order of pole (three term test) 22.29482717604417 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.289999999999889 y1[1] (analytic) 1.5345554381920858 y1[1] (numeric) 1.5345554381919917 absolute error 9.414691248821327e-14 relative error 6.13512618345878e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.8451334116571578 y2[1] (numeric) 1.8451334116572136 absolute error 5.573319583618286e-14 relative error 3.0205510064514828e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4517706611991177 Order of pole (three term test) 22.714250483499363 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4517706611991176 Order of pole (three term test) 22.28574951650063 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.299999999999889 y1[1] (analytic) 1.5260775173811998 y1[1] (numeric) 1.526077517381105 absolute error 9.481304630298837e-14 relative error 6.212859125641975e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.8504366206285061 y2[1] (numeric) 1.8504366206285607 absolute error 5.46229728115577e-14 relative error 2.9518964444729184e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4473955860702528 Order of pole (three term test) 22.723242445706127 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4473955860702528 Order of pole (three term test) 22.276757554293866 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.309999999999889 y1[1] (analytic) 1.5175469892569722 y1[1] (numeric) 1.5175469892568767 absolute error 9.547918011776346e-14 relative error 6.291678662583778e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.855654786646486 y2[1] (numeric) 1.85565478664654 absolute error 5.395683899678261e-14 relative error 2.907698101234264e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4428415586721549 Order of pole (three term test) 22.732145113911137 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.44284155867215486 Order of pole (three term test) 22.26785488608886 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.319999999999888 y1[1] (analytic) 1.5089647068651066 y1[1] (numeric) 1.5089647068650103 absolute error 9.636735853746359e-14 relative error 6.386322894036932e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.8607873878988448 y2[1] (numeric) 1.8607873878988979 absolute error 5.306866057708248e-14 relative error 2.8519464890078765e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4381104005550633 Order of pole (three term test) 22.740954927165813 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4381104005550634 Order of pole (three term test) 22.25904507283419 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.329999999999888 y1[1] (analytic) 1.5003315284266903 y1[1] (numeric) 1.5003315284265932 absolute error 9.703349235223868e-14 relative error 6.4674700567008695e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.865833911129734 y2[1] (numeric) 1.8658339111297861 absolute error 5.218048215738236e-14 relative error 2.7966306028701062e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4332040041191438 Order of pole (three term test) 22.74966836166231 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4332040041191438 Order of pole (three term test) 22.2503316383377 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.339999999999888 y1[1] (analytic) 1.491648317252373 y1[1] (numeric) 1.4916483172522752 absolute error 9.769962616701378e-14 relative error 6.549776179614321e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.870793851691036 y2[1] (numeric) 1.8707938516910874 absolute error 5.129230373768223e-14 relative error 2.7417400207574137e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4281243318575533 Order of pole (three term test) 22.758281932143007 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4281243318575531 Order of pole (three term test) 22.241718067856997 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.349999999999888 y1[1] (analytic) 1.4829159416560358 y1[1] (numeric) 1.4829159416559374 absolute error 9.836575998178887e-14 relative error 6.633266068469101e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.8756667135928282 y2[1] (numeric) 1.8756667135928786 absolute error 5.040412531798211e-14 relative error 2.687264477889748e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4228734155714678 Order of pole (three term test) 22.766792193294556 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.42287341557146785 Order of pole (three term test) 22.233207806705444 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.3599999999998875 y1[1] (analytic) 1.4741352748679617 y1[1] (numeric) 1.4741352748678627 absolute error 9.903189379656396e-14 relative error 6.717965134199387e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.8804520095529809 y2[1] (numeric) 1.8804520095530304 absolute error 4.951594689828198e-14 relative error 2.633193862259365e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.41745335555739077 Order of pole (three term test) 22.775195741125977 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4174533555573908 Order of pole (three term test) 22.224804258874027 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.369999999999887 y1[1] (analytic) 1.4653071949475123 y1[1] (numeric) 1.4653071949474126 absolute error 9.969802761133906e-14 relative error 6.803899411338813e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.885149261045886 y2[1] (numeric) 1.8851492610459344 absolute error 4.8405723873656825e-14 relative error 2.56773958825951e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.41186631976706156 Order of pole (three term test) 22.783489214330178 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4118663197670614 Order of pole (three term test) 22.216510785669826 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.379999999999887 y1[1] (analytic) 1.4564325846953228 y1[1] (numeric) 1.4564325846952224 absolute error 1.0036416142611415e-13 relative error 6.8910955770129075e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.889757998350308 y2[1] (numeric) 1.8897579983503558 absolute error 4.773959005888173e-14 relative error 2.5262277022008482e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.406114542940303 Order of pole (three term test) 22.79166929562844 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.406114542940303 Order of pole (three term test) 22.20833070437156 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.389999999999887 y1[1] (analytic) 1.4475123315650231 y1[1] (numeric) 1.4475123315649219 absolute error 1.0125233984581428e-13 relative error 6.994920708989205e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.8942777605963579 y2[1] (numeric) 1.8942777605964047 absolute error 4.6851411639181606e-14 relative error 2.47331265845785e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4002003257111566 Order of pole (three term test) 22.799732713097324 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4002003257111566 Order of pole (three term test) 22.200267286902676 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.399999999999887 y1[1] (analytic) 1.4385473275744924 y1[1] (numeric) 1.4385473275743905 absolute error 1.0191847366058937e-13 relative error 7.084818949435066e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.898708095811577 y2[1] (numeric) 1.898708095811623 absolute error 4.596323321948148e-14 relative error 2.42076353499905e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3941260336876592 Order of pole (three term test) 22.807676241477356 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.39412603368765914 Order of pole (three term test) 22.192323758522644 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.4099999999998865 y1[1] (analytic) 1.4295384692166593 y1[1] (numeric) 1.4295384692165567 absolute error 1.0258460747536446e-13 relative error 7.176064840813798e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.9030485609661358 y2[1] (numeric) 1.903048560966181 absolute error 4.5075054799781356e-14 relative error 2.368570919540684e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.38789409650563045 Order of pole (three term test) 22.8154967034631 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.38789409650563034 Order of pole (three term test) 22.184503296536906 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.419999999999886 y1[1] (analytic) 1.420486657369852 y1[1] (numeric) 1.4204866573697488 absolute error 1.0325074129013956e-13 relative error 7.268687865137488e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.9072987220171362 y2[1] (numeric) 1.9072987220171802 absolute error 4.39648317751562e-14 relative error 2.305083690752937e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3815070068568517 Order of pole (three term test) 22.82319097097401 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3815070068568517 Order of pole (three term test) 22.176809029025986 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.429999999999886 y1[1] (analytic) 1.4113927972077123 y1[1] (numeric) 1.4113927972076084 absolute error 1.0391687510491465e-13 relative error 7.362718253239136e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.9114581539520143 y2[1] (numeric) 1.9114581539520576 absolute error 4.3298697960381105e-14 relative error 2.265218198518202e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.37496731949202255 Order of pole (three term test) 22.830755966405704 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3749673194920224 Order of pole (three term test) 22.1692440335943 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.439999999999886 y1[1] (analytic) 1.4022577981086777 y1[1] (numeric) 1.4022577981085733 absolute error 1.0436096431476471e-13 relative error 7.442352216227543e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.9155264408310435 y2[1] (numeric) 1.9155264408310857 absolute error 4.218847493575595e-14 relative error 2.202448060046232e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3682776501988939 Order of pole (three term test) 22.83818866386084 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.36827765019889386 Order of pole (three term test) 22.16181133613916 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.449999999999886 y1[1] (analytic) 1.393082573565046 y1[1] (numeric) 1.393082573564941 absolute error 1.0502709812953981e-13 relative error 7.539186845239498e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.9195031758289256 y2[1] (numeric) 1.919503175828967 absolute error 4.1300296516055823e-14 relative error 2.151613867386312e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3614406747559891 Order of pole (three term test) 22.84548609035956 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3614406747559891 Order of pole (three term test) 22.154513909640436 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.459999999999885 y1[1] (analytic) 1.3838680410916258 y1[1] (numeric) 1.38386804109152 absolute error 1.056932319443149e-13 relative error 7.637522423087517e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.923387961275475 y2[1] (numeric) 1.9233879612755151 absolute error 4.0190073491430667e-14 relative error 2.0895458586929616e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.35445912786232686 Order of pole (three term test) 22.852645327028558 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.35445912786232686 Order of pole (three term test) 22.147354672971446 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.469999999999885 y1[1] (analytic) 1.374615122133985 y1[1] (numeric) 1.374615122133879 absolute error 1.0613732115416497e-13 relative error 7.72123916324992e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.927180408695384 y2[1] (numeric) 1.9271804086954234 absolute error 3.930189507173054e-14 relative error 2.039346959651597e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3473358020435779 Order of pole (three term test) 22.859663510268618 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3473358020435779 Order of pole (three term test) 22.140336489731386 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.479999999999885 y1[1] (analytic) 1.3653247419763095 y1[1] (numeric) 1.3653247419762027 absolute error 1.0680345496894006e-13 relative error 7.82256789797436e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.9308801388470713 y2[1] (numeric) 1.9308801388471097 absolute error 3.8413716652030416e-14 relative error 1.9894407674091696e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3400735465350943 Order of pole (three term test) 22.866537832900022 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.34007354653509425 Order of pole (three term test) 22.13346216709998 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.489999999999885 y1[1] (analytic) 1.3559978296488722 y1[1] (numeric) 1.355997829648765 absolute error 1.0724754417879012e-13 relative error 7.909123586618222e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.9344867817606048 y2[1] (numeric) 1.9344867817606424 absolute error 3.752553823233029e-14 relative error 1.939818797737028e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3326752661422499 Order of pole (three term test) 22.87326554528537 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3326752661422499 Order of pole (three term test) 22.126734454714633 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.4999999999998845 y1[1] (analytic) 1.3466353178351342 y1[1] (numeric) 1.3466353178350263 absolute error 1.0791367799356522e-13 relative error 8.01357847698874e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.937999976774699 y2[1] (numeric) 1.9379999767747353 absolute error 3.6415315207705135e-14 relative error 1.8790152551141426e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3251439200785597 Order of pole (three term test) 22.87984395642941 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3251439200785596 Order of pole (three term test) 22.12015604357059 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.509999999999884 y1[1] (analytic) 1.3372381427784743 y1[1] (numeric) 1.337238142778366 absolute error 1.0835776720341528e-13 relative error 8.103101739101808e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.9414193725727793 y2[1] (numeric) 1.9414193725728148 absolute error 3.552713678800501e-14 relative error 1.829956849607628e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.31748252078203243 Order of pole (three term test) 22.886270435055398 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3174825207820324 Order of pole (three term test) 22.113729564944602 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.519999999999884 y1[1] (analytic) 1.3278072441885675 y1[1] (numeric) 1.3278072441884585 absolute error 1.0902390101819037e-13 relative error 8.21082288075749e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.9447446272181161 y2[1] (numeric) 1.9447446272181506 absolute error 3.441691376337985e-14 relative error 1.769739495956955e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3096941327102366 Order of pole (three term test) 22.89254241065757 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3096941327102366 Order of pole (three term test) 22.107457589342435 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.529999999999884 y1[1] (analytic) 1.3183435651474136 y1[1] (numeric) 1.318343565147304 absolute error 1.0946799022804043e-13 relative error 8.303449352809639e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.9479754081880154 y2[1] (numeric) 1.947975408188049 absolute error 3.352873534367973e-14 relative error 1.7212093747563157e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3017818711145561 Order of pole (three term test) 22.898657374529304 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3017818711145561 Order of pole (three term test) 22.1013426254707 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.539999999999884 y1[1] (analytic) 1.3088480520150303 y1[1] (numeric) 1.3088480520149204 absolute error 1.099120794378905e-13 relative error 8.397619515013673e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.951111392407073 y2[1] (numeric) 1.9511113924071055 absolute error 3.241851231905457e-14 relative error 1.6615408246404665e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.29374890079413474 Order of pole (three term test) 22.90461288076659 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.29374890079413485 Order of pole (three term test) 22.095387119233415 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.5499999999998835 y1[1] (analytic) 1.299321654334818 y1[1] (numeric) 1.2993216543347077 absolute error 1.1035616864774056e-13 relative error 8.493367926222773e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.95415226627948 y2[1] (numeric) 1.9541522662795114 absolute error 3.1530333899354446e-14 relative error 1.6135044563024356e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2855984348299956 Order of pole (three term test) 22.91040654724633 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.28559843482999564 Order of pole (three term test) 22.08959345275367 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.559999999999883 y1[1] (analytic) 1.2897653247386063 y1[1] (numeric) 1.2897653247384955 absolute error 1.1080025785759062e-13 relative error 8.590730091154083e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.9570977257203834 y2[1] (numeric) 1.9570977257204136 absolute error 3.019806626980426e-14 relative error 1.5430024711049483e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2773337332998529 Order of pole (three term test) 22.916036056579195 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2773337332998527 Order of pole (three term test) 22.0839639434208 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.569999999999883 y1[1] (analytic) 1.280180018851391 y1[1] (numeric) 1.2801800188512795 absolute error 1.1146639167236572e-13 relative error 8.707087287018908e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.9599474761862934 y2[1] (numeric) 1.9599474761863227 absolute error 2.930988785010413e-14 relative error 1.4954425159972103e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2689581019741237 Order of pole (three term test) 22.921499157036493 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2689581019741236 Order of pole (three term test) 22.0785008429635 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.579999999999883 y1[1] (analytic) 1.270566695195773 y1[1] (numeric) 1.2705666951956611 absolute error 1.1191048088221578e-13 relative error 8.807918648062175e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.9627012327045383 y2[1] (numeric) 1.9627012327045665 absolute error 2.8199664825478976e-14 relative error 1.4367782704564137e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2604748909936653 Order of pole (three term test) 22.926793663450898 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2604748909936652 Order of pole (three term test) 22.0732063365491 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.589999999999883 y1[1] (analytic) 1.260926315096107 y1[1] (numeric) 1.2609263150959946 absolute error 1.1235457009206584e-13 relative error 8.910478649460357e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.9653587199017613 y2[1] (numeric) 1.9653587199017883 absolute error 2.708944180085382e-14 relative error 1.3783459236493931e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2518874935297616 Order of pole (three term test) 22.931917458090428 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.25188749352976153 Order of pole (three term test) 22.06808254190957 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.599999999999882 y1[1] (analytic) 1.2512598425823693 y1[1] (numeric) 1.2512598425822563 absolute error 1.1302070390684094e-13 relative error 9.032552636995611e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.967919672031457 y2[1] (numeric) 1.9679196720314829 absolute error 2.5979218776228663e-14 relative error 1.3201361389619459e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24319934442690125 Order of pole (three term test) 22.93686849150554 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.24319934442690122 Order of pole (three term test) 22.06313150849446 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.609999999999882 y1[1] (analytic) 1.2415682442937557 y1[1] (numeric) 1.2415682442936424 absolute error 1.1324274851176597e-13 relative error 9.120944340532978e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.9703838330005463 y2[1] (numeric) 1.9703838330005714 absolute error 2.5091040356528538e-14 relative error 1.2734087610899303e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2344139188288845 Order of pole (three term test) 22.94164478334888 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.23441391882888457 Order of pole (three term test) 22.05835521665112 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.619999999999882 y1[1] (analytic) 1.231852489382019 y1[1] (numeric) 1.2318524893819054 absolute error 1.1368683772161603e-13 relative error 9.228932741666908e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.9727509563949863 y2[1] (numeric) 1.9727509563950103 absolute error 2.398081733190338e-14 relative error 1.2156028744614592e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22553473078881375 Order of pole (three term test) 22.94624442316741 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.22553473078881384 Order of pole (three term test) 22.05375557683259 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.629999999999882 y1[1] (analytic) 1.2221135494145539 y1[1] (numeric) 1.22211354941444 absolute error 1.1390888232654106e-13 relative error 9.320646381926493e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.97502080550441 y2[1] (numeric) 1.9750208055044327 absolute error 2.2648549702353193e-14 relative error 1.1467499298858712e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21656533186351706 Order of pole (three term test) 22.950665571166525 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.21656533186351706 Order of pole (three term test) 22.04933442883348 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.6399999999998816 y1[1] (analytic) 1.2123523982772415 y1[1] (numeric) 1.212352398277127 absolute error 1.1457501614131615e-13 relative error 9.450636325224232e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.9771931533457978 y2[1] (numeric) 1.9771931533458194 absolute error 2.1538326677728037e-14 relative error 1.0893385222015852e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20750930969297424 Order of pole (three term test) 22.954906458945946 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2075093096929743 Order of pole (three term test) 22.045093541054047 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.649999999999881 y1[1] (analytic) 1.2025700120770608 y1[1] (numeric) 1.202570012076946 absolute error 1.1479706074624119e-13 relative error 9.545977331329378e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.979267782686176 y2[1] (numeric) 1.9792677826861964 absolute error 2.042810365310288e-14 relative error 1.0321040857533057e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1983702865653082 Order of pole (three term test) 22.958965390207144 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.19837028656530817 Order of pole (three term test) 22.041034609792852 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.659999999999881 y1[1] (analytic) 1.1927673690444804 y1[1] (numeric) 1.1927673690443652 absolute error 1.1524114995609125e-13 relative error 9.661661858540808e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.9812444860643392 y2[1] (numeric) 1.9812444860643585 absolute error 1.9317880628477724e-14 relative error 9.750376979901102e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18915191796791786 Order of pole (three term test) 22.96284074143171 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1891519179679179 Order of pole (three term test) 22.037159258568288 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.669999999999881 y1[1] (analytic) 1.1829454494356344 y1[1] (numeric) 1.182945449435519 absolute error 1.1546319456101628e-13 relative error 9.760652498059149e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.983123065811597 y2[1] (numeric) 1.9831230658116152 absolute error 1.8207657603852567e-14 relative error 9.181304941557445e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17985789112533226 Order of pole (three term test) 22.966530962530832 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.17985789112533226 Order of pole (three term test) 22.033469037469164 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.679999999999881 y1[1] (analytic) 1.173105235434299 y1[1] (numeric) 1.173105235434183 absolute error 1.1590728377086634e-13 relative error 9.880382447356135e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.9849033340715403 y2[1] (numeric) 1.9849033340715574 absolute error 1.709743457922741e-14 relative error 8.613736641852596e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17049192352436993 Order of pole (three term test) 22.970034577465274 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.17049192352436993 Order of pole (three term test) 22.029965422534726 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.6899999999998805 y1[1] (analytic) 1.1632477110536739 y1[1] (numeric) 1.1632477110535577 absolute error 1.1612932837579137e-13 relative error 9.983198528764009e-12% Correct digits 14 h 0.01 y2[1] (analytic) 1.9865851128188263 y2[1] (numeric) 1.9865851128188423 absolute error 1.5987211554602254e-14 relative error 8.047584496350882e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1610577614271932 Order of pole (three term test) 22.97335018483578 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.16105776142719308 Order of pole (three term test) 22.026649815164227 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.69999999999988 y1[1] (analytic) 1.1533738620379828 y1[1] (numeric) 1.1533738620378662 absolute error 1.1657341758564144e-13 relative error 1.0107166585139975e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9881682338769822 y2[1] (numeric) 1.9881682338769968 absolute error 1.4654943925052066e-14 relative error 7.371078400379895e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15155917837285338 Order of pole (three term test) 22.976476458443592 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.15155917837285335 Order of pole (three term test) 22.02352354155641 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.70999999999988 y1[1] (analytic) 1.143484675763899 y1[1] (numeric) 1.143484675763782 absolute error 1.170175067954915e-13 relative error 1.0233412766753395e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9896525389352209 y2[1] (numeric) 1.9896525389352344 absolute error 1.354472090042691e-14 relative error 6.807581040092297e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1419999736679266 Order of pole (three term test) 22.97941214782096 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1419999736679266 Order of pole (three term test) 22.020587852179037 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.71999999999988 y1[1] (analytic) 1.133581141141809 y1[1] (numeric) 1.1335811411416916 absolute error 1.1746159600534156e-13 relative error 1.0361992780422175e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9910378795642738 y2[1] (numeric) 1.9910378795642862 absolute error 1.2434497875801753e-14 relative error 6.245234208463661e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13238397086684053 Order of pole (three term test) 22.982156078731286 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1323839708668405 Order of pole (three term test) 22.01784392126872 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.72999999999988 y1[1] (analytic) 1.1236642485169221 y1[1] (numeric) 1.1236642485168045 absolute error 1.176836406102666e-13 relative error 1.0473203251379792e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9923241172312325 y2[1] (numeric) 1.9923241172312438 absolute error 1.1324274851176597e-14 relative error 5.683952100581977e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.12271501624250394 Order of pole (three term test) 22.984707153638773 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.12271501624250394 Order of pole (three term test) 22.015292846361223 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.739999999999879 y1[1] (analytic) 1.1137349895702366 y1[1] (numeric) 1.1137349895701187 absolute error 1.1790568521519162e-13 relative error 1.0586511721310701e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9935111233134022 y2[1] (numeric) 1.9935111233134122 absolute error 9.992007221626409e-15 relative error 5.012265597504546e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1129969772478487 Order of pole (three term test) 22.987064352147485 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.11299697724784868 Order of pole (three term test) 22.01293564785252 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.749999999999879 y1[1] (analytic) 1.1037943572193731 y1[1] (numeric) 1.1037943572192548 absolute error 1.1834977442504169e-13 relative error 1.0722085472803364e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9945987791111635 y2[1] (numeric) 1.9945987791111726 absolute error 9.103828801926284e-15 relative error 4.564240636897987e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10323374096890044 Order of pole (three term test) 22.989226731409442 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.10323374096890041 Order of pole (three term test) 22.010773268590555 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.759999999999879 y1[1] (analytic) 1.0938433455192826 y1[1] (numeric) 1.0938433455191638 absolute error 1.1879386363489175e-13 relative error 1.0860226386301823e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9955869758598435 y2[1] (numeric) 1.9955869758598512 absolute error 7.771561172376096e-15 relative error 3.894373568472276e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09342921256999615 Order of pole (three term test) 22.99119342650177 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.09342921256999613 Order of pole (three term test) 22.00880657349823 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.769999999999879 y1[1] (analytic) 1.0838829495628426 y1[1] (numeric) 1.0838829495627236 absolute error 1.1901590823981678e-13 relative error 1.0980513005377463e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9964756147405904 y2[1] (numeric) 1.996475614740597 absolute error 6.661338147750939e-15 relative error 3.336548715430452e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08358731373177006 Order of pole (three term test) 22.99296365077266 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.08358731373177006 Order of pole (three term test) 22.007036349227345 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.779999999999879 y1[1] (analytic) 1.0739141653813487 y1[1] (numeric) 1.0739141653812294 absolute error 1.192379528447418e-13 relative error 1.1103117612979825e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9972646068902569 y2[1] (numeric) 1.9972646068902624 absolute error 5.551115123125783e-15 relative error 2.7793588811293636e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.07371198108253406 Order of pole (three term test) 22.994536696155997 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.07371198108253407 Order of pole (three term test) 22.005463303844007 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.789999999999878 y1[1] (analytic) 1.0639379898449115 y1[1] (numeric) 1.063937989844792 absolute error 1.1945999744966684e-13 relative error 1.1228097745347014e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9979538734102853 y2[1] (numeric) 1.9979538734102897 absolute error 4.440892098500626e-15 relative error 2.222720032530339e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06380716462367844 Order of pole (three term test) 22.995911933454607 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.06380716462367844 Order of pole (three term test) 22.00408806654539 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.799999999999878 y1[1] (analytic) 1.0539554205627713 y1[1] (numeric) 1.0539554205626516 absolute error 1.1968204205459188e-13 relative error 1.135551273987341e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9985433453745984 y2[1] (numeric) 1.9985433453746015 absolute error 3.1086244689504383e-15 relative error 1.5554451076305132e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.05387682614972407 Order of pole (three term test) 22.9970888125919 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.0538768261497241 Order of pole (three term test) 22.002911187408095 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.809999999999878 y1[1] (analytic) 1.0439674557835374 y1[1] (numeric) 1.0439674557834175 absolute error 1.199040866595169e-13 relative error 1.148542380274913e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9990329638364905 y2[1] (numeric) 1.9990329638364925 absolute error 1.9984014443252818e-15 relative error 9.996840874949871e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04392493766365786 Order of pole (three term test) 22.998066862831937 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.04392493766365787 Order of pole (three term test) 22.00193313716807 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.819999999999878 y1[1] (analytic) 1.0339750942953647 y1[1] (numeric) 1.0339750942952446 absolute error 1.2012613126444194e-13 relative error 1.1617894079577006e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9994226798345238 y2[1] (numeric) 1.9994226798345245 absolute error 6.661338147750939e-16 relative error 3.331630782692854e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.033955479788184244 Order of pole (three term test) 22.99884569296762 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.03395547978818424 Order of pole (three term test) 22.00115430703237 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.8299999999998775 y1[1] (analytic) 1.023979335326075 y1[1] (numeric) 1.0239793353259545 absolute error 1.20570220474292e-13 relative error 1.1774673210167638e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.999712454397423 y2[1] (numeric) 1.9997124543974225 absolute error 4.440892098500626e-16 relative error 2.2207653349035165e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.023972440173528994 Order of pole (three term test) 22.999424991477326 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.023972440173528987 Order of pole (three term test) 22.00057500852267 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.839999999999877 y1[1] (analytic) 1.0139811784432353 y1[1] (numeric) 1.0139811784431148 absolute error 1.20570220474292e-13 relative error 1.1890775000321345e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9999022585479733 y2[1] (numeric) 1.9999022585479718 absolute error 1.5543122344752192e-15 relative error 7.771940992774946e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.013979811902432741 Order of pole (three term test) 22.999804526649335 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.013979811902432741 Order of pole (three term test) 22.000195473350654 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.849999999999877 y1[1] (analytic) 1.0039816234542023 y1[1] (numeric) 1.0039816234540815 absolute error 1.2079226507921703e-13 relative error 1.2031322312815928e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9999920733059182 y2[1] (numeric) 1.9999920733059153 absolute error 2.886579864025407e-15 relative error 1.4432956522942561e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.00398159189297043 Order of pole (three term test) 22.999984146674674 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.003981591892970431 Order of pole (three term test) 22.000015853325326 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.859999999999877 y1[1] (analytic) 0.9939816703061418 y1[1] (numeric) 0.9939816703060208 absolute error 1.2101430968414206e-13 relative error 1.2174702341027094e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9999818896898565 y2[1] (numeric) 1.9999818896898522 absolute error 4.218847493575595e-15 relative error 2.1094428481199023e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.006018220700161909 Order of pole (three term test) 22.999963779707695 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.006018220700161904 Order of pole (three term test) 22.0000362202923 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.869999999999877 y1[1] (analytic) 0.9839823189860355 y1[1] (numeric) 0.9839823189859143 absolute error 1.212363542890671e-13 relative error 1.2320989102121017e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9998717087181408 y2[1] (numeric) 1.9998717087181357 absolute error 5.10702591327572e-15 relative error 2.5536767638706054e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.016015626085256047 Order of pole (three term test) 22.999743433894928 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.016015626085256043 Order of pole (three term test) 22.00025656610507 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.879999999999876 y1[1] (analytic) 0.9739845694206826 y1[1] (numeric) 0.9739845694205611 absolute error 1.2145839889399213e-13 relative error 1.2470259047967722e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9996615414087775 y2[1] (numeric) 1.9996615414087708 absolute error 6.661338147750939e-15 relative error 3.331232816058448e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.026006625433454937 Order of pole (three term test) 22.999323197371773 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.026006625433454927 Order of pole (three term test) 22.000676802628234 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.889999999999876 y1[1] (analytic) 0.9639894213767082 y1[1] (numeric) 0.9639894213765865 absolute error 1.2168044349891716e-13 relative error 1.26225911613367e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9993514087783213 y2[1] (numeric) 1.9993514087783137 absolute error 7.549516567451064e-15 relative error 3.775982818380138e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.03598722247823076 Order of pole (three term test) 22.998703238227215 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.03598722247823074 Order of pole (three term test) 22.001296761772796 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.899999999999876 y1[1] (analytic) 0.9539978743605873 y1[1] (numeric) 0.9539978743604655 absolute error 1.2179146580137967e-13 relative error 1.276642947270819e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9989413418397777 y2[1] (numeric) 1.9989413418397688 absolute error 8.881784197001252e-15 relative error 4.443244036779324e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04595342511383862 Order of pole (three term test) 22.997883804436647 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.04595342511383861 Order of pole (three term test) 22.002116195563357 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.909999999999876 y1[1] (analytic) 0.9440109275186954 y1[1] (numeric) 0.9440109275185734 absolute error 1.220135104063047e-13 relative error 1.2925010383832481e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9984313815994983 y2[1] (numeric) 1.9984313815994883 absolute error 9.992007221626409e-15 relative error 4.999925098068185e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.05590124699210501 Order of pole (three term test) 22.996865223762665 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.05590124699210502 Order of pole (three term test) 22.003134776237324 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.919999999999876 y1[1] (analytic) 0.9340295795373942 y1[1] (numeric) 0.9340295795372722 absolute error 1.220135104063047e-13 relative error 1.3063131305406357e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9978215790530824 y2[1] (numeric) 1.9978215790530711 absolute error 1.1324274851176597e-14 relative error 5.668311409742616e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0658267091169146 Order of pole (three term test) 22.995647903623976 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.0658267091169146 Order of pole (three term test) 22.00435209637603 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.929999999999875 y1[1] (analytic) 0.9240548285431641 y1[1] (numeric) 0.924054828543042 absolute error 1.2212453270876722e-13 relative error 1.3216156545743603e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9971119951802765 y2[1] (numeric) 1.9971119951802638 absolute error 1.2656542480726785e-14 relative error 6.337422493716631e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.07572584143575518 Order of pole (three term test) 22.994232330932373 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.07572584143575514 Order of pole (three term test) 22.005767669067623 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.939999999999875 y1[1] (analytic) 0.9140876720027923 y1[1] (numeric) 0.91408767200267 absolute error 1.2223555501122974e-13 relative error 1.3372410410415899e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9963027009388763 y2[1] (numeric) 1.9963027009388625 absolute error 1.3766765505351941e-14 relative error 6.89613128253412e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08559468442768584 Order of pole (three term test) 22.992619071898076 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.08559468442768582 Order of pole (three term test) 22.007380928101917 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.949999999999875 y1[1] (analytic) 0.9041291066236269 y1[1] (numeric) 0.9041291066235045 absolute error 1.2234657731369225e-13 relative error 1.35319808219185e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.995393777257632 y2[1] (numeric) 1.9953937772576167 absolute error 1.532107773982716e-14 relative error 7.678222671859623e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0954292906870927 Order of pole (three term test) 22.990808771803195 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.09542929068709269 Order of pole (three term test) 22.009191228196812 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.959999999999875 y1[1] (analytic) 0.8941801282539068 y1[1] (numeric) 0.8941801282537845 absolute error 1.2234657731369225e-13 relative error 1.3682542638539977e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9943853150281536 y2[1] (numeric) 1.9943853150281372 absolute error 1.6431300764452317e-14 relative error 8.238779457830276e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10522572650259841 Order of pole (three term test) 22.988802154743617 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.10522572650259843 Order of pole (three term test) 22.01119784525639 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.9699999999998745 y1[1] (analytic) 0.8842417317831786 y1[1] (numeric) 0.8842417317830561 absolute error 1.2245759961615477e-13 relative error 1.3848882631812057e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9932774150958243 y2[1] (numeric) 1.9932774150958066 absolute error 1.7763568394002505e-14 relative error 8.911739158569929e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11498007343049388 Order of pole (three term test) 22.986600023339413 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.11498007343049384 Order of pole (three term test) 22.01339997666058 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.979999999999874 y1[1] (analytic) 0.874314911042807 y1[1] (numeric) 0.8743149110426846 absolute error 1.2245759961615477e-13 relative error 1.4006120457227243e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9920701882497136 y2[1] (numeric) 1.9920701882496947 absolute error 1.887379141862766e-14 relative error 9.474461055617063e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.12468842986206438 Order of pole (three term test) 22.98420325841379 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.12468842986206442 Order of pole (three term test) 22.015796741586215 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.989999999999874 y1[1] (analytic) 0.864400658706594 y1[1] (numeric) 0.8644006587064715 absolute error 1.2245759961615477e-13 relative error 1.4166763801335893e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9907637552115007 y2[1] (numeric) 1.9907637552114803 absolute error 2.042810365310288e-14 relative error 1.0261440414326097e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13434691258418036 Order of pole (three term test) 22.981612818640762 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.13434691258418036 Order of pole (three term test) 22.018387181359238 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.999999999999874 y1[1] (analytic) 0.8544999661915113 y1[1] (numeric) 0.8544999661913888 absolute error 1.2245759961615477e-13 relative error 1.4330907485221534e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9893582466234 y2[1] (numeric) 1.9893582466233786 absolute error 2.1538326677728037e-14 relative error 1.0826771253637052e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14395165833253087 Order of pole (three term test) 22.97882974016169 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.14395165833253085 Order of pole (three term test) 22.021170259838303 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.009999999999874 y1[1] (analytic) 0.8446138235585597 y1[1] (numeric) 0.8446138235584373 absolute error 1.2245759961615477e-13 relative error 1.4498649702441722e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9878538030350996 y2[1] (numeric) 1.987853803035077 absolute error 2.2648549702353193e-14 relative error 1.1393468507479213e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15349882533687834 Order of pole (three term test) 22.975855136170875 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.15349882533687828 Order of pole (three term test) 22.024144863829132 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.019999999999873 y1[1] (analytic) 0.8347432194137643 y1[1] (numeric) 0.8347432194136418 absolute error 1.2245759961615477e-13 relative error 1.4670092163450706e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9862505748897046 y2[1] (numeric) 1.9862505748896806 absolute error 2.398081733190338e-14 relative error 1.2073409888495576e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16298459485771455 Order of pole (three term test) 22.972690196470225 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.16298459485771455 Order of pole (three term test) 22.027309803529768 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.029999999999873 y1[1] (analytic) 0.824889140809314 y1[1] (numeric) 0.8248891408091915 absolute error 1.2245759961615477e-13 relative error 1.484534024729788e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.984548722508693 y2[1] (numeric) 1.984548722508668 absolute error 2.5091040356528538e-14 relative error 1.2643196950493933e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1724051727137068 Order of pole (three term test) 22.969336186993452 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1724051727137068 Order of pole (three term test) 22.030663813006544 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.039999999999873 y1[1] (analytic) 0.8150525731448575 y1[1] (numeric) 0.815052573144735 absolute error 1.2245759961615477e-13 relative error 1.502450316102378e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9827484160758855 y2[1] (numeric) 1.982748416075859 absolute error 2.6423307986078726e-14 relative error 1.3326606528514524e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18175679079931872 Order of pole (three term test) 22.965794449299615 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.18175679079931872 Order of pole (three term test) 22.03420555070038 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.049999999999873 y1[1] (analytic) 0.805234500068964 y1[1] (numeric) 0.8052345000688417 absolute error 1.2234657731369225e-13 relative error 1.519390653321659e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9808498356204245 y2[1] (numeric) 1.9808498356203967 absolute error 2.7755575615628914e-14 relative error 1.4011953413387116e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19103570859200222 Order of pole (three term test) 22.96206640003656 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.19103570859200222 Order of pole (three term test) 22.037933599963434 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.059999999999873 y1[1] (analytic) 0.7954359033807599 y1[1] (numeric) 0.7954359033806375 absolute error 1.2234657731369225e-13 relative error 1.5381073043559527e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9788531709987736 y2[1] (numeric) 1.9788531709987445 absolute error 2.90878432451791e-14 relative error 1.4699343878301887e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20023821464835787 Order of pole (three term test) 22.95815353037431 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.20023821464835787 Order of pole (three term test) 22.041846469625696 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.069999999999872 y1[1] (analytic) 0.7856577629317479 y1[1] (numeric) 0.7856577629316257 absolute error 1.2223555501122974e-13 relative error 1.555837169546922e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9767586218757311 y2[1] (numeric) 1.9767586218757007 absolute error 3.042011087472929e-14 relative error 1.5388884883610058e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20936062808866135 Order of pole (three term test) 22.954057405408523 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.20936062808866135 Order of pole (three term test) 22.045942594591477 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.079999999999872 y1[1] (analytic) 0.775901056527825 y1[1] (numeric) 0.7759010565277028 absolute error 1.2223555501122974e-13 relative error 1.5754013218932404e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9745663977044638 y2[1] (numeric) 1.974566397704432 absolute error 3.175237850427948e-14 relative error 1.6080684114341898e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21839930006916736 Order of pole (three term test) 22.949779663534596 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.21839930006916738 Order of pole (three term test) 22.0502203364654 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.089999999999872 y1[1] (analytic) 0.7661667598315007 y1[1] (numeric) 0.7661667598313786 absolute error 1.2212453270876722e-13 relative error 1.5939680381804277e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.972276717705562 y2[1] (numeric) 1.9722767177055291 absolute error 3.2862601528904634e-14 relative error 1.6662267132137102e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22735061524159741 Order of pole (three term test) 22.94532201579224 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.22735061524159747 Order of pole (three term test) 22.054677984207757 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.099999999999872 y1[1] (analytic) 0.7564558462643329 y1[1] (numeric) 0.7564558462642109 absolute error 1.220135104063047e-13 relative error 1.6129627526689614e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9698898108451175 y2[1] (numeric) 1.9698898108450835 absolute error 3.397282455352979e-14 relative error 1.7246053239371216e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23621099319923203 Order of pole (three term test) 22.94068624518112 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.23621099319923197 Order of pole (three term test) 22.059313754818877 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.109999999999872 y1[1] (analytic) 0.7467692869095859 y1[1] (numeric) 0.7467692869094641 absolute error 1.2179146580137967e-13 relative error 1.6309115537597814e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9674059158118273 y2[1] (numeric) 1.967405915811792 absolute error 3.530509218307998e-14 relative error 1.7944996454131196e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24497688990902458 Order of pole (three term test) 22.93587420594766 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2449768899090246 Order of pole (three term test) 22.06412579405234 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.119999999999871 y1[1] (analytic) 0.7371080504151231 y1[1] (numeric) 0.7371080504150014 absolute error 1.2168044349891716e-13 relative error 1.65078163819252e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.964825280993125 y2[1] (numeric) 1.9648252809930884 absolute error 3.6637359812630166e-14 relative error 1.8646624800201947e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.25364479912916865 Order of pole (three term test) 22.93088782284339 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2536447991291686 Order of pole (three term test) 22.069112177156597 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.129999999999871 y1[1] (analytic) 0.7274731028965428 y1[1] (numeric) 0.7274731028964213 absolute error 1.2145839889399213e-13 relative error 1.6695929844057104e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9621481644503418 y2[1] (numeric) 1.9621481644503038 absolute error 3.7969627442180354e-14 relative error 1.935105010421923e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2622112538115467 Order of pole (three term test) 22.925729090355095 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.26221125381154664 Order of pole (three term test) 22.074270909644902 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.139999999999871 y1[1] (analytic) 0.7178654078405678 y1[1] (numeric) 0.7178654078404466 absolute error 1.212363542890671e-13 relative error 1.688845192495927e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.959374833892901 y2[1] (numeric) 1.9593748338928616 absolute error 3.930189507173054e-14 relative error 2.005838515014773e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2706728274885036 Order of pole (three term test) 22.92040007190696 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2706728274885035 Order of pole (three term test) 22.07959992809304 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.14999999999987 y1[1] (analytic) 0.7082859260086976 y1[1] (numeric) 0.7082859260085764 absolute error 1.2112533198660458e-13 relative error 1.7101191417026292e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.956505566651547 y2[1] (numeric) 1.9565055666515065 absolute error 4.04121180963557e-14 relative error 2.0655253317535328e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2790261356433881 Order of pole (three term test) 22.914902899035322 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2790261356433881 Order of pole (three term test) 22.085097100964674 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.15999999999987 y1[1] (analytic) 0.698735615341132 y1[1] (numeric) 0.6987356153410111 absolute error 1.2090328738167955e-13 relative error 1.7303152254898722e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9535406496506131 y2[1] (numeric) 1.9535406496505716 absolute error 4.1522341120980855e-14 relative error 2.12549153396972e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2872678370643138 Order of pole (three term test) 22.909239770536036 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2872678370643138 Order of pole (three term test) 22.09076022946396 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.16999999999987 y1[1] (analytic) 0.6892154308609797 y1[1] (numeric) 0.6892154308608589 absolute error 1.2079226507921703e-13 relative error 1.7526053490752705e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.950480379379329 y2[1] (numeric) 1.9504803793792862 absolute error 4.285460875053104e-14 relative error 2.1971309839152546e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2953946351806007 Order of pole (three term test) 22.903412951584997 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2953946351806008 Order of pole (three term test) 22.096587048415003 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.17999999999987 y1[1] (analytic) 0.6797263245787548 y1[1] (numeric) 0.6797263245786344 absolute error 1.2045919817182948e-13 relative error 1.772172031831802e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9473250618621716 y2[1] (numeric) 1.9473250618621272 absolute error 4.440892098500626e-14 relative error 2.280508881374909e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.303403279381358 Order of pole (three term test) 22.89742477283209 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.30340327938135797 Order of pole (three term test) 22.10257522716791 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.18999999999987 y1[1] (analytic) 0.6702692453971784 y1[1] (numeric) 0.6702692453970581 absolute error 1.2023715356690445e-13 relative error 1.7938635017582537e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9440750126282624 y2[1] (numeric) 1.944075012628217 absolute error 4.551914400963142e-14 relative error 2.3414294054472987e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.31129056631568586 Order of pole (three term test) 22.891277629468977 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.31129056631568575 Order of pole (three term test) 22.108722370531027 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.19999999999987 y1[1] (analytic) 0.6608451390162875 y1[1] (numeric) 0.6608451390161675 absolute error 1.2001510896197942e-13 relative error 1.816085219914457e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9407305566798172 y2[1] (numeric) 1.9407305566797703 absolute error 4.6851411639181606e-14 relative error 2.4141121227737324e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.319053341173973 Order of pole (three term test) 22.88497398027104 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.31905334117397294 Order of pole (three term test) 22.11502601972896 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.20999999999987 y1[1] (analytic) 0.6514549478388667 y1[1] (numeric) 0.6514549478387471 absolute error 1.1957101975212936e-13 relative error 1.835445722667295e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9372920284596433 y2[1] (numeric) 1.9372920284595954 absolute error 4.796163466380676e-14 relative error 2.4757049509949954e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.32668849894977836 Order of pole (three term test) 22.87851634661391 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3266884989497783 Order of pole (three term test) 22.121483653386093 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.21999999999987 y1[1] (analytic) 0.6420996108762089 y1[1] (numeric) 0.6420996108760896 absolute error 1.1934897514720433e-13 relative error 1.858729909279041e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9337597718176978 y2[1] (numeric) 1.9337597718176485 absolute error 4.929390229335695e-14 relative error 2.5491223373119203e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3341929856817924 Order of pole (three term test) 22.871907311464952 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3341929856817923 Order of pole (three term test) 22.128092688535048 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.229999999999869 y1[1] (analytic) 0.6327800636542142 y1[1] (numeric) 0.6327800636540951 absolute error 1.191269305422793e-13 relative error 1.8825961401871344e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.930134139976701 y2[1] (numeric) 1.9301341399766503 absolute error 5.062616992290714e-14 relative error 2.6229353118181857e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.34156379967538075 Order of pole (three term test) 22.86514951835011 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3415637996753807 Order of pole (three term test) 22.134850481649895 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.239999999999869 y1[1] (analytic) 0.6234972381198385 y1[1] (numeric) 0.6234972381197197 absolute error 1.1879386363489175e-13 relative error 1.905282916619097e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9264154954968156 y2[1] (numeric) 1.9264154954967636 absolute error 5.1958437552457326e-14 relative error 2.697156333818704e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3487979927032221 Order of pole (three term test) 22.85824567029652 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3487979927032221 Order of pole (three term test) 22.141754329703478 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.249999999999869 y1[1] (analytic) 0.6142520625478994 y1[1] (numeric) 0.614252062547781 absolute error 1.184607967275042e-13 relative error 1.9285372235647416e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.922604210239391 y2[1] (numeric) 1.9226042102393377 absolute error 5.3290705182007514e-14 relative error 2.7717980070048886e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.35589267118456036 Order of pole (three term test) 22.851198528751357 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.35589267118456036 Order of pole (three term test) 22.14880147124864 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.259999999999868 y1[1] (analytic) 0.6050454614482501 y1[1] (numeric) 0.605045461448132 absolute error 1.1812772982011666e-13 relative error 1.9523777525305872e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9187006653297767 y2[1] (numeric) 1.918700665329722 absolute error 5.46229728115577e-14 relative error 2.846873084404199e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.36284499734259723 Order of pole (three term test) 22.84401091247728 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.36284499734259723 Order of pole (three term test) 22.155989087522723 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.269999999999868 y1[1] (analytic) 0.5958783554733282 y1[1] (numeric) 0.5958783554732104 absolute error 1.177946629127291e-13 relative error 1.976823991520223e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9147052511192109 y2[1] (numeric) 1.914705251119155 absolute error 5.595524044110789e-14 relative error 2.922394473426139e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3696521903395653 Order of pole (three term test) 22.83668569642496 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3696521903395653 Order of pole (three term test) 22.163314303575035 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.279999999999868 y1[1] (analytic) 0.5867516613260921 y1[1] (numeric) 0.5867516613259747 absolute error 1.1746159600534156e-13 relative error 2.0018962662989598e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9106183671457848 y2[1] (numeric) 1.9106183671457275 absolute error 5.728750807065808e-14 relative error 2.9983752410083946e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.37631152738902823 Order of pole (three term test) 22.829225810583154 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.37631152738902834 Order of pole (three term test) 22.170774189416846 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.289999999999868 y1[1] (analytic) 0.577666291668351 y1[1] (numeric) 0.5776662916682339 absolute error 1.1712852909795402e-13 relative error 2.027615784187035e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9064404220944904 y2[1] (numeric) 1.9064404220944318 absolute error 5.861977570020827e-14 relative error 3.0748286188668974e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.38282034484495525 Order of pole (three term test) 22.821634238806734 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.38282034484495525 Order of pole (three term test) 22.178365761193263 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.299999999999867 y1[1] (analytic) 0.5686231550294993 y1[1] (numeric) 0.5686231550293827 absolute error 1.1668443988810395e-13 relative error 2.052052204628398e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.9021718337563507 y2[1] (numeric) 1.9021718337562912 absolute error 5.950795411990839e-14 relative error 3.1284215791584876e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.38917603926714783 Order of pole (three term test) 22.813914017623198 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3891760392671479 Order of pole (three term test) 22.18608598237681 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.309999999999867 y1[1] (analytic) 0.5596231557156653 y1[1] (numeric) 0.559623155715549 absolute error 1.163513729807164e-13 relative error 2.079102192115733e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.897813028986643 y2[1] (numeric) 1.8978130289865822 absolute error 6.084022174945858e-14 relative error 3.2058069377859023e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.39537606846257806 Order of pole (three term test) 22.806068235018067 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.395376068462578 Order of pole (three term test) 22.193931764981933 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.319999999999867 y1[1] (analytic) 0.5506671937192802 y1[1] (numeric) 0.5506671937191643 absolute error 1.1590728377086634e-13 relative error 2.1048518069146808e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.893364443662212 y2[1] (numeric) 1.8933644436621497 absolute error 6.217248937900877e-14 relative error 3.283704285623562e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.40141795250223394 Order of pole (three term test) 22.79810002919979 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.40141795250223383 Order of pole (three term test) 22.20189997080021 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.329999999999867 y1[1] (analytic) 0.5417561646290805 y1[1] (numeric) 0.5417561646289649 absolute error 1.155742168634788e-13 relative error 2.1333253668208463e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.8888265226378822 y2[1] (numeric) 1.888826522637819 absolute error 6.328271240363392e-14 relative error 3.3503718655567723e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4072992747130569 Order of pole (three term test) 22.790012587344446 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4072992747130569 Order of pole (three term test) 22.209987412655558 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.339999999999867 y1[1] (analytic) 0.5328909595405491 y1[1] (numeric) 0.5328909595404341 absolute error 1.1501910535116622e-13 relative error 2.158398510838578e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.884199719701975 y2[1] (numeric) 1.8841997197019105 absolute error 6.461498003318411e-14 relative error 3.4293063180905417e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.413017682644579 Order of pole (three term test) 22.78180914432094 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.413017682644579 Order of pole (three term test) 22.21819085567906 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.349999999999866 y1[1] (analytic) 0.5240724649668076 y1[1] (numeric) 0.5240724649666929 absolute error 1.1468603844377867e-13 relative error 2.188362222980793e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.8794844975309282 y2[1] (numeric) 1.8794844975308624 absolute error 6.572520305780927e-14 relative error 3.496980323282912e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4185708890098729 Order of pole (three term test) 22.773492981397116 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4185708890098728 Order of pole (three term test) 22.22650701860288 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.359999999999866 y1[1] (analytic) 0.5153015627499643 y1[1] (numeric) 0.5153015627498502 absolute error 1.141309269314661e-13 relative error 2.214837586022322e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.8746813276430299 y2[1] (numeric) 1.8746813276429628 absolute error 6.705747068735946e-14 relative error 3.5770063796212463e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4239566726004329 Order of pole (three term test) 22.76506742492726 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.42395667260043296 Order of pole (three term test) 22.23493257507274 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.369999999999866 y1[1] (analytic) 0.5065791299729321 y1[1] (numeric) 0.5065791299728184 absolute error 1.1368683772161603e-13 relative error 2.244206896713069e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.8697906903512655 y2[1] (numeric) 1.8697906903511974 absolute error 6.816769371198461e-14 relative error 3.645739283212411e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4291728791746334 Order of pole (three term test) 22.756535845021617 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.42917287917463337 Order of pole (three term test) 22.243464154978383 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.379999999999866 y1[1] (analytic) 0.4979060388717198 y1[1] (numeric) 0.49790603887160667 absolute error 1.1313172620930345e-13 relative error 2.2721501122112448e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.8648130747152896 y2[1] (numeric) 1.86481307471522 absolute error 6.94999613415348e-14 relative error 3.7269130232876405e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4342174223193929 Order of pole (three term test) 22.747901654198394 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4342174223193929 Order of pole (three term test) 22.252098345801603 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.389999999999866 y1[1] (analytic) 0.4892831567482102 y1[1] (numeric) 0.4892831567480975 absolute error 1.1268763699945339e-13 relative error 2.303117028355904e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.8597489784925172 y2[1] (numeric) 1.8597489784924464 absolute error 7.083222897108499e-14 relative error 3.808698366835532e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4390882842847128 Order of pole (three term test) 22.739168306018808 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.43908828428471275 Order of pole (three term test) 22.26083169398119 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.399999999999865 y1[1] (analytic) 0.4807113458834298 y1[1] (numeric) 0.48071134588331765 absolute error 1.1213252548714081e-13 relative error 2.332637380985229e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.8545989080883505 y2[1] (numeric) 1.8545989080882785 absolute error 7.194245199571014e-14 relative error 3.87913805416103e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4437835167907513 Order of pole (three term test) 22.730339293705683 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4437835167907513 Order of pole (three term test) 22.26966070629432 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.409999999999865 y1[1] (analytic) 0.4721914634513219 y1[1] (numeric) 0.4721914634512103 absolute error 1.1157741397482823e-13 relative error 2.3629697402678844e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.8493633785055386 y2[1] (numeric) 1.8493633785054653 absolute error 7.327471962526033e-14 relative error 3.962159112530566e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.44830124180710823 Order of pole (three term test) 22.721418148746213 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4483012418071083 Order of pole (three term test) 22.278581851253776 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.419999999999865 y1[1] (analytic) 0.46372436143303 y1[1] (numeric) 0.4637243614329189 absolute error 1.1107781361374691e-13 relative error 2.3953413461067114e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.8440429132926766 y2[1] (numeric) 1.844042913292602 absolute error 7.460698725481052e-14 relative error 4.045837909574141e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4526396523040126 Order of pole (three term test) 22.712408439479468 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4526396523040126 Order of pole (three term test) 22.28759156052053 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.429999999999865 y1[1] (analytic) 0.4553108865316998 y1[1] (numeric) 0.4553108865315893 absolute error 1.1052270210143433e-13 relative error 2.4274118052246372e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.8386380444918518 y2[1] (numeric) 1.838638044491776 absolute error 7.571721027943568e-14 relative error 4.118113976063288e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.45679701297511005 Order of pole (three term test) 22.703313769668995 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.45679701297511 Order of pole (three term test) 22.296686230331005 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.439999999999864 y1[1] (analytic) 0.4469518800878104 y1[1] (numeric) 0.4469518800877005 absolute error 1.099120794378905e-13 relative error 2.459147938169465e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.8331493125854408 y2[1] (numeric) 1.8331493125853637 absolute error 7.704947790898586e-14 relative error 4.203120683078274e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46077166093156313 Order of pole (three term test) 22.694137777061467 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4607716609315632 Order of pole (three term test) 22.305862222938533 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.449999999999864 y1[1] (analytic) 0.4386481779950403 y1[1] (numeric) 0.438648177994931 absolute error 1.0930145677434666e-13 relative error 2.4917795686269216e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.8275772664420598 y2[1] (numeric) 1.8275772664419816 absolute error 7.815970093361102e-14 relative error 4.276683802582688e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4645620063671839 Order of pole (three term test) 22.684884131931582 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4645620063671841 Order of pole (three term test) 22.315115868068414 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.459999999999864 y1[1] (analytic) 0.430400610616679 y1[1] (numeric) 0.43040061061657037 absolute error 1.0863532295957157e-13 relative error 2.5240513205573437e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.8219224632616802 y2[1] (numeric) 1.8219224632616007 absolute error 7.949196856316121e-14 relative error 4.3630818635855355e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46816653319433543 Order of pole (three term test) 22.675556535614017 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4681665331943355 Order of pole (three term test) 22.32444346438598 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.469999999999864 y1[1] (analytic) 0.42221000270259157 y1[1] (numeric) 0.42221000270248354 absolute error 1.0802470029602773e-13 relative error 2.5585537908755156e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.8161854685199073 y2[1] (numeric) 1.8161854685198267 absolute error 8.060219158778636e-14 relative error 4.437993419993211e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47158379965034614 Order of pole (three term test) 22.666158719022935 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.47158379965034614 Order of pole (three term test) 22.333841280977065 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.479999999999864 y1[1] (analytic) 0.41407717330674376 y1[1] (numeric) 0.4140771733066364 absolute error 1.0735856648125264e-13 relative error 2.592718782924134e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.810366855911435 y2[1] (numeric) 1.810366855911353 absolute error 8.193445921733655e-14 relative error 4.525848390882432e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.474812438874197 Order of pole (three term test) 22.656694441159658 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.474812438874197 Order of pole (three term test) 22.343305558840346 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.489999999999863 y1[1] (analytic) 0.4060029357052979 y1[1] (numeric) 0.4060029357051912 absolute error 1.0669243266647754e-13 relative error 2.6278734285783966e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.8044672072926748 y2[1] (numeric) 1.8044672072925918 absolute error 8.304468224196171e-14 relative error 4.602171871361268e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47785115945324624 Order of pole (three term test) 22.64716748760915 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.47785115945324624 Order of pole (three term test) 22.352832512390854 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.499999999999863 y1[1] (analytic) 0.3979880973152856 y1[1] (numeric) 0.39798809731517953 absolute error 1.0608181000293371e-13 relative error 2.665451824276439e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.7984871126235726 y2[1] (numeric) 1.7984871126234883 absolute error 8.43769498715119e-14 relative error 4.691551542364162e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48069874593977807 Order of pole (three term test) 22.6375816690258 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.48069874593977807 Order of pole (three term test) 22.3624183309742 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.509999999999863 y1[1] (analytic) 0.3900334596138668 y1[1] (numeric) 0.39003345961376146 absolute error 1.0536016503692736e-13 relative error 2.7013109373035312e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.7924271699086116 y2[1] (numeric) 1.7924271699085261 absolute error 8.548717289613705e-14 relative error 4.76935265941632e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48335405933716524 Order of pole (three term test) 22.627940819609243 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4833540593371652 Order of pole (three term test) 22.372059180390764 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.519999999999863 y1[1] (analytic) 0.382139818058183 y1[1] (numeric) 0.3821398180580783 absolute error 1.0469403122215226e-13 relative error 2.739678679760401e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.7862879851370137 y2[1] (numeric) 1.7862879851369269 absolute error 8.681944052568724e-14 relative error 4.860327183974645e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48581603755545216 Order of pole (three term test) 22.618248795570693 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4858160375554523 Order of pole (three term test) 22.38175120442931 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.529999999999863 y1[1] (analytic) 0.3743079620058115 y1[1] (numeric) 0.3743079620057075 absolute error 1.0402789740737717e-13 relative error 2.7792061074501543e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.78007017222214 y2[1] (numeric) 1.7800701722220518 absolute error 8.815170815523743e-14 relative error 4.9521479282580064e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48808369583617783 Order of pole (three term test) 22.608509473590544 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4880836958361779 Order of pole (three term test) 22.391490526409456 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.539999999999862 y1[1] (analytic) 0.3665386746358311 y1[1] (numeric) 0.36653867463572787 absolute error 1.0325074129013956e-13 relative error 2.8169126052720835e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.7737743529401002 y2[1] (numeric) 1.7737743529400107 absolute error 8.948397578478762e-14 relative error 5.044834233647839e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.490156127146265 Order of pole (three term test) 22.598726749267737 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4901561271462649 Order of pole (three term test) 22.40127325073226 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.549999999999862 y1[1] (analytic) 0.35883273287050454 y1[1] (numeric) 0.35883273287040196 absolute error 1.0258460747536446e-13 relative error 2.8588419639070432e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.7674011568675763 y2[1] (numeric) 1.7674011568674857 absolute error 9.059419880941277e-14 relative error 5.12584245276697e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49203250254082137 Order of pole (three term test) 22.588904535561557 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49203250254082137 Order of pole (three term test) 22.41109546443844 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.559999999999862 y1[1] (analytic) 0.3511909072975865 y1[1] (numeric) 0.35119090729748476 absolute error 1.017519402068956e-13 relative error 2.8973398255062074e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.760951221318864 y2[1] (numeric) 1.7609512213187726 absolute error 9.14823772291129e-14 relative error 5.195054588769199e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4937120714947073 Order of pole (three term test) 22.57904676122653 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4937120714947073 Order of pole (three term test) 22.420953238773464 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.569999999999862 y1[1] (analytic) 0.34361396209326645 y1[1] (numeric) 0.34361396209316536 absolute error 1.010858063921205e-13 relative error 2.941842228305117e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.7544251912821442 y2[1] (numeric) 1.7544251912820517 absolute error 9.259260025373806e-14 relative error 5.27766021109574e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4951941622027353 Order of pole (three term test) 22.569157369240965 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49519416220273527 Order of pole (three term test) 22.430842630759038 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.579999999999862 y1[1] (analytic) 0.3361026549457504 y1[1] (numeric) 0.3361026549456501 absolute error 1.0030865027488289e-13 relative error 2.984464680621862e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.7478237193549817 y2[1] (numeric) 1.747823719354888 absolute error 9.370282327836321e-14 relative error 5.3611140666373025e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49647818184838294 Order of pole (three term test) 22.559240315229783 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49647818184838294 Order of pole (three term test) 22.44075968477022 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.589999999999861 y1[1] (analytic) 0.32865773697949385 y1[1] (numeric) 0.3286577369793944 absolute error 9.947598300641403e-14 relative error 3.026734861641815e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.7411474656790682 y2[1] (numeric) 1.7411474656789732 absolute error 9.50350909079134e-14 relative error 5.458187360991195e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49756361684091205 Order of pole (three term test) 22.54929956588237 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49756361684091216 Order of pole (three term test) 22.450700434117635 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.599999999999861 y1[1] (analytic) 0.32127995268008935 y1[1] (numeric) 0.32127995267999065 absolute error 9.869882688917642e-14 relative error 3.0720505921966004e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.7343970978742074 y2[1] (numeric) 1.7343970978741112 absolute error 9.614531393253856e-14 relative error 5.543442966456797e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.498450033020798 Order of pole (three term test) 22.539339097365925 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49845003302079793 Order of pole (three term test) 22.46066090263408 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.60999999999986 y1[1] (analytic) 0.31397003981981864 y1[1] (numeric) 0.31397003981972077 absolute error 9.786615962070755e-14 relative error 3.117054088245842e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.7275732909715549 y2[1] (numeric) 1.7275732909714574 absolute error 9.747758156208874e-14 relative error 5.642457085410783e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49913707583338746 Order of pole (three term test) 22.529362893735044 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49913707583338746 Order of pole (three term test) 22.470637106264967 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.61999999999986 y1[1] (analytic) 0.3067287293838762 y1[1] (numeric) 0.3067287293837792 absolute error 9.697798120100742e-14 relative error 3.161685616988223e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.720676727346114 y2[1] (numeric) 1.7206767273460155 absolute error 9.85878045867139e-14 relative error 5.729594816963138e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4996244704707157 Order of pole (three term test) 22.519374945338168 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4996244704707156 Order of pole (three term test) 22.48062505466183 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.62999999999986 y1[1] (analytic) 0.2995567454972713 y1[1] (numeric) 0.29955674549717515 absolute error 9.614531393253856e-14 relative error 3.20958600925294e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.7137080966485008 y2[1] (numeric) 1.713708096648401 absolute error 9.969802761133906e-14 relative error 5.817678506994191e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4999120219814266 Order of pole (three term test) 22.509379247221496 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4999120219814265 Order of pole (three term test) 22.49062075277851 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.63999999999986 y1[1] (analytic) 0.29245480535241586 y1[1] (numeric) 0.2924548053523206 absolute error 9.525713551283843e-14 relative error 3.2571574742309686e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.7066680957359772 y2[1] (numeric) 1.7066680957358764 absolute error 1.0080825063596421e-13 relative error 5.906728489729694e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4999996153487494 Order of pole (three term test) 22.499379797530974 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4999996153487493 Order of pole (three term test) 22.500620202469023 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.64999999999986 y1[1] (analytic) 0.2854236191374062 y1[1] (numeric) 0.2854236191373118 absolute error 9.442446824436956e-14 relative error 3.308221951979123e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.6995574286027684 y2[1] (numeric) 1.6995574286026665 absolute error 1.0191847366058937e-13 relative error 5.996765507616773e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49988721553650545 Order of pole (three term test) 22.489380595913175 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49988721553650545 Order of pole (three term test) 22.510619404086817 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.65999999999986 y1[1] (analytic) 0.2784638899650045 y1[1] (numeric) 0.2784638899649109 absolute error 9.35918009759007e-14 relative error 3.3610031443453115e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.6923768063096616 y2[1] (numeric) 1.6923768063095588 absolute error 1.028066520802895e-13 relative error 6.0746904411001785e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.499574867503121 Order of pole (three term test) 22.479385641915428 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4995748675031212 Order of pole (three term test) 22.520614358084575 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.66999999999986 y1[1] (analytic) 0.27157631380232805 y1[1] (numeric) 0.2715763138022354 absolute error 9.264811140496931e-14 relative error 3.411494548541703e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.6851269469129029 y2[1] (numeric) 1.6851269469127987 absolute error 1.0413891970983968e-13 relative error 6.17988572912081e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49906269618364485 Order of pole (three term test) 22.469398933386056 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4990626961836447 Order of pole (three term test) 22.530601066613944 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.67999999999986 y1[1] (analytic) 0.2647615794012538 y1[1] (numeric) 0.264761579401162 absolute error 9.175993298526919e-14 relative error 3.4657571235516906e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.67780857539239 y2[1] (numeric) 1.6778085753922847 absolute error 1.0524914273446484e-13 relative error 6.273012564013757e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4983509064397758 Order of pole (three term test) 22.459424464875326 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49835090643977575 Order of pole (three term test) 22.54057553512468 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.68999999999986 y1[1] (analytic) 0.25802036822954266 y1[1] (numeric) 0.25802036822945185 absolute error 9.08162434143378e-14 relative error 3.5197315637324005e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.6704224235791765 y2[1] (numeric) 1.6704224235790701 absolute error 1.0635936575909e-13 relative error 6.3672137213769065e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4974397829779207 Order of pole (three term test) 22.449466226037632 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4974397829779207 Order of pole (three term test) 22.550533773962357 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.699999999999859 y1[1] (analytic) 0.25135335440269435 y1[1] (numeric) 0.2513533544026044 absolute error 8.992806499463768e-14 relative error 3.577754719380571e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.6629692300822883 y2[1] (numeric) 1.662969230082181 absolute error 1.0724754417879012e-13 relative error 6.449159866504759e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49632969023531665 Order of pole (three term test) 22.439528200035767 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4963296902353166 Order of pole (three term test) 22.560471799964237 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.709999999999859 y1[1] (analytic) 0.2447612046165356 y1[1] (numeric) 0.24476120461644663 absolute error 8.89843754237063e-14 relative error 3.6355588118271044e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.6554497402148647 y2[1] (numeric) 1.6554497402147563 absolute error 1.0835776720341528e-13 relative error 6.545518391234956e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49502107223425923 Order of pole (three term test) 22.42961436194759 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49502107223425945 Order of pole (three term test) 22.570385638052407 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.719999999999859 y1[1] (analytic) 0.23824457808055166 y1[1] (numeric) 0.23824457808046362 absolute error 8.804068585277491e-14 relative error 3.69539095336759e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.6478647059196259 y2[1] (numeric) 1.6478647059195164 absolute error 1.0946799022804043e-13 relative error 6.6430205000931495e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49351445240450126 Order of pole (three term test) 22.419728677176185 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49351445240450126 Order of pole (three term test) 22.580271322823812 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.729999999999858 y1[1] (analytic) 0.23180412645196558 y1[1] (numeric) 0.2318041264518785 absolute error 8.70692407062279e-14 relative error 3.7561557699133704e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.6402148856936805 y2[1] (numeric) 1.6402148856935699 absolute error 1.1057821325266559e-13 relative error 6.74169062951162e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4918104333738864 Order of pole (three term test) 22.409875099863633 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49181043337388647 Order of pole (three term test) 22.590124900136367 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.739999999999858 y1[1] (analytic) 0.22544049377057318 y1[1] (numeric) 0.2254404937704871 absolute error 8.607003998406526e-14 relative error 3.817860693281537e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.6325010445126762 y2[1] (numeric) 1.6325010445125647 absolute error 1.1146639167236572e-13 relative error 6.8279522421769695e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4899096967273071 Order of pole (three term test) 22.40005757130949 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.48990969672730705 Order of pole (three term test) 22.59994242869051 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.749999999999858 y1[1] (analytic) 0.2191543163943397 y1[1] (numeric) 0.21915431639425456 absolute error 8.512635041313388e-14 relative error 3.884310919067644e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.6247239537543035 y2[1] (numeric) 1.6247239537541909 absolute error 1.1257661469699087e-13 relative error 6.9289687295405695e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4878130027340788 Order of pole (three term test) 22.390280018394268 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.48781300273407896 Order of pole (three term test) 22.609719981605732 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.759999999999858 y1[1] (analytic) 0.21294622293576415 y1[1] (numeric) 0.21294622293568002 absolute error 8.412714969097124e-14 relative error 3.9506288738611926e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.6168843911211566 y2[1] (numeric) 1.616884391121043 absolute error 1.13464793116691e-13 relative error 7.0174957306634576e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4855211900438439 Order of pole (three term test) 22.380546352008782 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4855211900438439 Order of pole (three term test) 22.619453647991214 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.769999999999857 y1[1] (analytic) 0.20681683419901897 y1[1] (numeric) 0.20681683419893596 absolute error 8.301692666634608e-14 relative error 4.014031400676951e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.6089831405629662 y2[1] (numeric) 1.6089831405628519 absolute error 1.1435297153639112e-13 relative error 7.10715784730847e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4830351753511209 Order of pole (three term test) 22.370860465489795 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4830351753511209 Order of pole (three term test) 22.6291395345102 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.779999999999857 y1[1] (analytic) 0.20076676311787023 y1[1] (numeric) 0.2007667631177882 absolute error 8.201772594418344e-14 relative error 4.0852243005995375e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.601020992198204 y2[1] (numeric) 1.6010209921980885 absolute error 1.1546319456101628e-13 relative error 7.211847634957313e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4803559530286404 Order of pole (three term test) 22.36122623306278 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.48035595302864054 Order of pole (three term test) 22.63877376693722 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.789999999999857 y1[1] (analytic) 0.19479661469438425 y1[1] (numeric) 0.1947966146943032 absolute error 8.104628079763643e-14 relative error 4.160558997639136e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.5929987422350709 y2[1] (numeric) 1.5929987422349545 absolute error 1.163513729807164e-13 relative error 7.303921208215682e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47748459472960914 Order of pole (three term test) 22.351647508292235 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.47748459472960914 Order of pole (three term test) 22.648352491707758 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.799999999999857 y1[1] (analytic) 0.18890698593842814 y1[1] (numeric) 0.1889069859383482 absolute error 7.993605777301127e-14 relative error 4.2315035294176696e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.5849171928918784 y2[1] (numeric) 1.584917192891761 absolute error 1.1746159600534156e-13 relative error 7.411213439550005e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4744222489590626 Order of pole (three term test) 22.342128122540377 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4744222489590626 Order of pole (three term test) 22.65787187745962 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.809999999999857 y1[1] (analytic) 0.18309846580796973 y1[1] (numeric) 0.18309846580789077 absolute error 7.896461262646426e-14 relative error 4.31268565129764e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.5767771523168261 y2[1] (numeric) 1.5767771523167076 absolute error 1.1857181902996672e-13 relative error 7.519884395568775e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47117014061447804 Order of pole (three term test) 22.33267188343458 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.471170140614478 Order of pole (three term test) 22.667328116565425 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.819999999999856 y1[1] (analytic) 0.1773716351501814 y1[1] (numeric) 0.17737163515010354 absolute error 7.78543896018391e-14 relative error 4.3893370851500256e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.5685794345071882 y2[1] (numeric) 1.5685794345070685 absolute error 1.1968204205459188e-13 relative error 7.629963737997957e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4677295704958321 Order of pole (three term test) 22.323282573344382 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.46772957049583214 Order of pole (three term test) 22.676717426655618 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.829999999999856 y1[1] (analytic) 0.17172706664335669 y1[1] (numeric) 0.17172706664327994 absolute error 7.674416657721395e-14 relative error 4.4689615957044486e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.5603248592279138 y2[1] (numeric) 1.5603248592277934 absolute error 1.2034817586936697e-13 relative error 7.71302047503865e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4641019147852992 Order of pole (three term test) 22.313963947868647 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4641019147852992 Order of pole (three term test) 22.68603605213135 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.839999999999856 y1[1] (analytic) 0.16616532473964252 y1[1] (numeric) 0.16616532473956688 absolute error 7.563394355258879e-14 relative error 4.551728447020848e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.552014251929653 y2[1] (numeric) 1.5520142519295315 absolute error 1.2145839889399213e-13 relative error 7.825855899388827e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4602886244967953 Order of pole (three term test) 22.30471973433332 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4602886244967955 Order of pole (three term test) 22.695280265666682 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.849999999999856 y1[1] (analytic) 0.16068696560859452 y1[1] (numeric) 0.16068696560851994 absolute error 7.457923167919489e-14 relative error 4.641274505167825e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.5436484436662092 y2[1] (numeric) 1.543648443666087 absolute error 1.2234657731369225e-13 relative error 7.925805763332721e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.45629122489559265 Order of pole (three term test) 22.29555363030056 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4562912248955927 Order of pole (three term test) 22.704446369699433 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.859999999999856 y1[1] (analytic) 0.15529253708156043 y1[1] (numeric) 0.15529253708148696 absolute error 7.346900865456973e-14 relative error 4.731007042275537e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.5352282710114378 y2[1] (numeric) 1.5352282710113145 absolute error 1.2323475573339238e-13 relative error 8.027129128634594e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.45211131488823336 Order of pole (three term test) 22.286469302089763 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4521113148882335 Order of pole (three term test) 22.713530697910237 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.869999999999855 y1[1] (analytic) 0.14998257859689756 y1[1] (numeric) 0.1499825785968253 absolute error 7.227551890309769e-14 relative error 4.818927610075957e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.5267545759755872 y2[1] (numeric) 1.526754575975463 absolute error 1.241229341530925e-13 relative error 8.129855060285552e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4477505663829895 Order of pole (three term test) 22.277470383311098 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4477505663829894 Order of pole (three term test) 22.72252961668891 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.879999999999855 y1[1] (analytic) 0.14475762114602964 y1[1] (numeric) 0.14475762114595844 absolute error 7.119305145408816e-14 relative error 4.918086584351198e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.5182282059210999 y2[1] (numeric) 1.5182282059209748 absolute error 1.2501111257279263e-13 relative error 8.234013311388135e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.44321072362112 Order of pole (three term test) 22.26856047341207 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4432107236211201 Order of pole (three term test) 22.731439526587927 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.889999999999855 y1[1] (analytic) 0.13961818722034747 y1[1] (numeric) 0.13961818722027738 absolute error 7.008282842946301e-14 relative error 5.0196059571277244e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.5096500134778756 y2[1] (numeric) 1.50965001347775 absolute error 1.2567724638756772e-13 relative error 8.324925993809463e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4384936024791999 Order of pole (three term test) 22.259743136237876 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4384936024791999 Order of pole (three term test) 22.74025686376212 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.899999999999855 y1[1] (analytic) 0.13456479075896077 y1[1] (numeric) 0.13456479075889186 absolute error 6.891709425360659e-14 relative error 5.121480430720868e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.5010208564580108 y2[1] (numeric) 1.5010208564578842 absolute error 1.2656542480726785e-13 relative error 8.431956442359291e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.43360108974279166 Order of pole (three term test) 22.2510218986058 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.43360108974279155 Order of pole (three term test) 22.748978101394204 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.909999999999854 y1[1] (analytic) 0.1295979370973045 y1[1] (numeric) 0.12959793709723683 absolute error 6.766809335090329e-14 relative error 5.221386610505756e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.4923415977700158 y2[1] (numeric) 1.4923415977698886 absolute error 1.2723155862204294e-13 relative error 8.52563238953891e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4285351423517568 Order of pole (three term test) 22.242400248894608 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4285351423517567 Order of pole (three term test) 22.75759975110539 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.919999999999854 y1[1] (analytic) 0.124718122916606 y1[1] (numeric) 0.12471812291653944 absolute error 6.655787032627813e-14 relative error 5.336663892125983e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.4836131053325274 y2[1] (numeric) 1.4836131053323993 absolute error 1.2811973704174306e-13 relative error 8.63565686911529e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.42329778661750656 Order of pole (three term test) 22.233881635649247 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4232977866175066 Order of pole (three term test) 22.766118364350753 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.929999999999854 y1[1] (analytic) 0.1199258361942166 y1[1] (numeric) 0.11992583619415127 absolute error 6.532274721138265e-14 relative error 5.446928642264729e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.4748362519875153 y2[1] (numeric) 1.4748362519873863 absolute error 1.290079154614432e-13 relative error 8.747270436808822e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4178911174125055 Order of pole (three term test) 22.22546946620143 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4178911174125055 Order of pole (three term test) 22.774530533798565 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.939999999999854 y1[1] (analytic) 0.11522155615481511 y1[1] (numeric) 0.11522155615475099 absolute error 6.411537967210279e-14 relative error 5.564529920595367e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.466011915413 y2[1] (numeric) 1.4660119154128701 absolute error 1.2989609388114332e-13 relative error 8.860507374835996e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.412317297332346 Order of pole (three term test) 22.217167105306775 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4123172973323461 Order of pole (three term test) 22.782832894693225 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.949999999999854 y1[1] (analytic) 0.11060575322248523 y1[1] (numeric) 0.11060575322242233 absolute error 6.289413434501512e-14 relative error 5.6863347983809276e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.4571409780352853 y2[1] (numeric) 1.4571409780351547 absolute error 1.305622276959184e-13 relative error 8.960164435973799e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4065785558307446 Order of pole (three term test) 22.20897787379894 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.40657855583074465 Order of pole (three term test) 22.791022126201064 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.959999999999853 y1[1] (analytic) 0.10607888897367379 y1[1] (numeric) 0.10607888897361202 absolute error 6.177003353258215e-14 relative error 5.823027949313455e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.4482243269407167 y2[1] (numeric) 1.4482243269405852 absolute error 1.3145040611561853e-13 relative error 9.076660547009268e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4006771883277858 Order of pole (three term test) 22.200905047261344 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4006771883277858 Order of pole (three term test) 22.79909495273866 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.969999999999853 y1[1] (analytic) 0.10164141609103305 y1[1] (numeric) 0.10164141609097258 absolute error 6.04793992664554e-14 relative error 5.950271217422656e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.439262853786973 y2[1] (numeric) 1.4392628537868408 absolute error 1.3211653993039363e-13 relative error 9.179458747425462e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3946155552917875 Order of pole (three term test) 22.19295185471696 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3946155552917875 Order of pole (three term test) 22.807048145283037 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.979999999999853 y1[1] (analytic) 0.09729377831815367 y1[1] (numeric) 0.09729377831809437 absolute error 5.929978730279117e-14 relative error 6.094920798417247e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.4302574547139018 y2[1] (numeric) 1.4302574547137687 absolute error 1.3300471835009375e-13 relative error 9.299355015541524e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3883960812951426 Order of pole (three term test) 22.185121477336775 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3883960812951426 Order of pole (three term test) 22.814878522663225 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.989999999999853 y1[1] (analytic) 0.09303641041518973 y1[1] (numeric) 0.09303641041513168 absolute error 5.805078640008787e-14 relative error 6.239577187149315e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.4212090302539058 y2[1] (numeric) 1.421209030253772 absolute error 1.3367085216486885e-13 relative error 9.40543222843074e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3820212540445255 Order of pole (three term test) 22.177417047167324 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3820212540445255 Order of pole (three term test) 22.822582952832672 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.999999999999853 y1[1] (analytic) 0.08886973811538379 y1[1] (numeric) 0.088869738115327 absolute error 5.678790770957676e-14 relative error 6.390016322074262e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.4121184852418909 y2[1] (numeric) 1.4121184852417563 absolute error 1.3455903058456897e-13 relative error 9.528876789791439e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.37549362338583914 Order of pole (three term test) 22.169841645877963 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3754936233858392 Order of pole (three term test) 22.83015835412204 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.009999999999852 y1[1] (analytic) 0.08479417808249357 y1[1] (numeric) 0.08479417808243811 absolute error 5.545564008002657e-14 relative error 6.540029201777925e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.4029867287247826 y2[1] (numeric) 1.4029867287246474 absolute error 1.3522516439934407e-13 relative error 9.638378013899984e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3688158002843131 Order of pole (three term test) 22.16239830352819 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.36881580028431327 Order of pole (three term test) 22.837601696471804 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.019999999999852 y1[1] (analytic) 0.08081013786912628 y1[1] (numeric) 0.08081013786907199 absolute error 5.4289905904170155e-14 relative error 6.718204836142441e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.3938146738706232 y2[1] (numeric) 1.393814673870487 absolute error 1.361133428190442e-13 relative error 9.765526606278112e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.361990455780152 Order of pole (three term test) 22.15508999735572 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.361990455780152 Order of pole (three term test) 22.84491000264428 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.029999999999852 y1[1] (analytic) 0.0769180158759829 y1[1] (numeric) 0.07691801587592996 absolute error 5.294376048681215e-14 relative error 6.883141730043437e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.3846032378772544 y2[1] (numeric) 1.3846032378771176 absolute error 1.3677947663381929e-13 relative error 9.878604418368755e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.35502031992015415 Order of pole (three term test) 22.14791965058557 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.35502031992015415 Order of pole (three term test) 22.852080349414436 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.039999999999852 y1[1] (analytic) 0.07311820131201963 y1[1] (numeric) 0.07311820131196792 absolute error 5.1708637371916666e-14 relative error 7.071924150767707e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.3753533418805994 y2[1] (numeric) 1.375353341880462 absolute error 1.3744561044859438e-13 relative error 9.993476313560057e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.34790818066572904 Order of pole (three term test) 22.140890131260836 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.34790818066572904 Order of pole (three term test) 22.859109868739168 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.049999999999851 y1[1] (analytic) 0.06941107415552616 y1[1] (numeric) 0.06941107415547576 absolute error 5.040412531798211e-14 relative error 7.261683518258761e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.36606591086255 y2[1] (numeric) 1.3660659108624118 absolute error 1.3811174426336947e-13 relative error 1.0110181592641024e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3406568827777515 Order of pole (three term test) 22.134004251095526 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3406568827777516 Order of pole (three term test) 22.86599574890447 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.059999999999851 y1[1] (analytic) 0.06579700511612896 y1[1] (numeric) 0.06579700511607986 absolute error 4.909961326404755e-14 relative error 7.462286950202184e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.356741873558468 y2[1] (numeric) 1.3567418735583292 absolute error 1.3877787807814457e-13 relative error 1.0228760590557834e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3332693266786943 Order of pole (three term test) 22.12726476434991 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.33326932667869424 Order of pole (three term test) 22.87273523565009 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.069999999999851 y1[1] (analytic) 0.06227635559772016 y1[1] (numeric) 0.06227635559767246 absolute error 4.769795669545829e-14 relative error 7.659079635868165e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.347382162364314 y2[1] (numeric) 1.3473821623641746 absolute error 1.3944401189291966e-13 relative error 1.0349254709460513e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.32574846729249723 Order of pole (three term test) 22.120674366728814 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.32574846729249735 Order of pole (three term test) 22.87932563327119 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.07999999999985 y1[1] (analytic) 0.05884947766231796 y1[1] (numeric) 0.05884947766227152 absolute error 4.644201689885108e-14 relative error 7.891661700948022e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.337987713243408 y2[1] (numeric) 1.3379877132432678 absolute error 1.4011014570769476e-13 relative error 1.047170645297292e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3180973128626382 Order of pole (three term test) 22.11423569430341 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.31809731286263837 Order of pole (three term test) 22.88576430569659 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.08999999999985 y1[1] (analytic) 0.05551671399485991 y1[1] (numeric) 0.05551671399481487 absolute error 4.504036033026182e-14 relative error 8.112937003878136e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.328559465632833 y2[1] (numeric) 1.3285594656326922 absolute error 1.4077627952246985e-13 relative error 1.0596159461738046e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.31031892374887515 Order of pole (three term test) 22.10795132245684 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.31031892374887515 Order of pole (three term test) 22.89204867754316 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.09999999999985 y1[1] (analytic) 0.05227839786893573 y1[1] (numeric) 0.052278397868891956 absolute error 4.3777481639750704e-14 relative error 8.373914164221863e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.3190983623494934 y2[1] (numeric) 1.319098362349352 absolute error 1.4144241333724494e-13 relative error 1.0722658550293156e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.30241641120314305 Order of pole (three term test) 22.10182376485404 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3024164112031431 Order of pole (three term test) 22.89817623514596 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.10999999999985 y1[1] (analytic) 0.04913485311345922 y1[1] (numeric) 0.04913485311341678 absolute error 4.243827511629661e-14 relative error 8.637102265941595e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.3096053494958335 y2[1] (numeric) 1.3096053494956912 absolute error 1.4233059175694507e-13 relative error 1.0868204823059016e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2943929361250945 Order of pole (three term test) 22.09585547243635 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2943929361250945 Order of pole (three term test) 22.90414452756365 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.11999999999985 y1[1] (analytic) 0.046086394080286364 y1[1] (numeric) 0.046086394080245285 absolute error 4.107825191113079e-14 relative error 8.913314380719184e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.3000813763652272 y2[1] (numeric) 1.3000813763650845 absolute error 1.4277468096679513e-13 relative error 1.0981980325413565e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.286251707797783 Order of pole (three term test) 22.090048832441166 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.286251707797783 Order of pole (three term test) 22.909951167558837 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.12999999999985 y1[1] (analytic) 0.04313332561278005 y1[1] (numeric) 0.043133325612740414 absolute error 3.963496197911809e-14 relative error 9.188941825383984e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.2905273953470515 y2[1] (numeric) 1.2905273953469083 absolute error 1.432187701766452e-13 relative error 1.1097693136388669e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.27799598260399094 Order of pole (three term test) 22.084406167447064 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.27799598260399094 Order of pole (three term test) 22.91559383255294 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.13999999999985 y1[1] (analytic) 0.04027594301532633 y1[1] (numeric) 0.04027594301528803 absolute error 3.83026943495679e-14 relative error 9.510067668680645e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.2809443618314467 y2[1] (numeric) 1.2809443618313028 absolute error 1.438849039914203e-13 relative error 1.1232720817452133e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.26962906272372084 Order of pole (three term test) 22.078929734444795 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.26962906272372084 Order of pole (three term test) 22.921070265555198 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.14999999999985 y1[1] (analytic) 0.037514532023803615 y1[1] (numeric) 0.037514532023766735 absolute error 3.688022109926692e-14 relative error 9.83091594368438e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.271333234113778 y2[1] (numeric) 1.2713332341136336 absolute error 1.4432899320127035e-13 relative error 1.1352569832084924e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2611542948133674 Order of pole (three term test) 22.073621723934565 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.26115429481336744 Order of pole (three term test) 22.92637827606543 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.15999999999985 y1[1] (analytic) 0.03484936877701006 y1[1] (numeric) 0.03484936877697451 absolute error 3.554795346971673e-14 relative error 1.0200458348952227e-10% Correct digits 12 h 0.01 y2[1] (analytic) 1.2616949732988083 y2[1] (numeric) 1.2616949732986633 absolute error 1.4499512701604544e-13 relative error 1.1492090408899974e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.25257506866709967 Order of pole (three term test) 22.068484259049793 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.25257506866709956 Order of pole (three term test) 22.931515740950204 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.169999999999849 y1[1] (analytic) 0.03228071978904923 y1[1] (numeric) 0.032280719789015075 absolute error 3.415323579503138e-14 relative error 1.0580072569081119e-10% Correct digits 12 h 0.01 y2[1] (analytic) 1.252030543204587 y2[1] (numeric) 1.2520305432044416 absolute error 1.454392162258955e-13 relative error 1.1616267431754669e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2438948158609876 Order of pole (three term test) 22.063519394707928 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2438948158609876 Order of pole (three term test) 22.936480605292072 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.179999999999849 y1[1] (analytic) 0.029808841922679408 y1[1] (numeric) 0.029808841922646694 absolute error 3.271341530997063e-14 relative error 1.0974399943085792e-10% Correct digits 12 h 0.01 y2[1] (analytic) 1.2423409102660703 y2[1] (numeric) 1.2423409102659242 absolute error 1.461053500406706e-13 relative error 1.1760487707788633e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23511700838041874 Order of pole (three term test) 22.058729116788516 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.23511700838041882 Order of pole (three term test) 22.941270883211484 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.189999999999849 y1[1] (analytic) 0.027433982363627374 y1[1] (numeric) 0.027433982363596114 absolute error 3.1259717037102064e-14 relative error 1.1394523996832097e-10% Correct digits 12 h 0.01 y2[1] (analytic) 1.232627043438477 y2[1] (numeric) 1.2326270434383302 absolute error 1.467714838554457e-13 relative error 1.1907209454533713e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22624515723134933 Order of pole (three term test) 22.05411534133886 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.22624515723134936 Order of pole (three term test) 22.94588465866114 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.199999999999848 y1[1] (analytic) 0.025156378595870055 y1[1] (numeric) 0.025156378595840193 absolute error 2.986152991546476e-14 relative error 1.1870361149822713e-10% Correct digits 12 h 0.01 y2[1] (analytic) 1.2228899141003948 y2[1] (numeric) 1.2228899141002476 absolute error 1.4721557306529576e-13 relative error 1.2038334061622646e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21728281103594918 Order of pole (three term test) 22.049679913807616 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2172828110359493 Order of pole (three term test) 22.950320086192388 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.209999999999848 y1[1] (analytic) 0.022976258377886194 y1[1] (numeric) 0.022976258377857713 absolute error 2.848069002858722e-14 relative error 1.2395704104720045e-10% Correct digits 12 h 0.01 y2[1] (analytic) 1.2131304959566438 y2[1] (numeric) 1.213130495956496 absolute error 1.4788170688007085e-13 relative error 1.2190090626932522e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20823355461319998 Order of pole (three term test) 22.04542460830666 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.20823355461319998 Order of pole (three term test) 22.954575391693336 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.219999999999848 y1[1] (analytic) 0.02089383971988068 y1[1] (numeric) 0.02089383971985371 absolute error 2.6971480604487397e-14 relative error 1.2908819521011154e-10% Correct digits 12 h 0.01 y2[1] (analytic) 1.203349764940905 y2[1] (numeric) 1.2033497649407567 absolute error 1.4832579608992091e-13 relative error 1.2326075128888648e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19910100754501595 Order of pole (three term test) 22.041351126901457 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.199101007545016 Order of pole (three term test) 22.958648873098532 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.229999999999848 y1[1] (analytic) 0.018909330861984208 y1[1] (numeric) 0.018909330861958642 absolute error 2.5566354588946183e-14 relative error 1.3520496719609166e-10% Correct digits 12 h 0.01 y2[1] (analytic) 1.19354869911813 y2[1] (numeric) 1.1935486991179811 absolute error 1.48991929904696e-13 relative error 1.2483104377289401e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18988882272845892 Order of pole (three term test) 22.03746109893026 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.18988882272845897 Order of pole (three term test) 22.962538901069735 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.239999999999847 y1[1] (analytic) 0.017022930253428714 y1[1] (numeric) 0.017022930253404546 absolute error 2.4168167467308876e-14 relative error 1.41974190738642e-10% Correct digits 12 h 0.01 y2[1] (analytic) 1.1837282785867331 y2[1] (numeric) 1.1837282785865837 absolute error 1.4943601911454607e-13 relative error 1.2624182577859798e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18060068491462777 Order of pole (three term test) 22.033756080352394 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.18060068491462775 Order of pole (three term test) 22.966243919647617 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.249999999999847 y1[1] (analytic) 0.015234826532702916 y1[1] (numeric) 0.015234826532680283 absolute error 2.2632937191069402e-14 relative error 1.4856051785352317e-10% Correct digits 12 h 0.01 y2[1] (analytic) 1.173889485380584 y2[1] (numeric) 1.173889485380434 absolute error 1.4988010832439613e-13 relative error 1.2767821007937886e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17124030923480743 Order of pole (three term test) 22.03023755312587 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.17124030923480743 Order of pole (three term test) 22.969762446874128 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.259999999999847 y1[1] (analytic) 0.013545198508689071 y1[1] (numeric) 0.013545198508667844 absolute error 2.1227811175528188e-14 relative error 1.5671834681426648e-10% Correct digits 12 h 0.01 y2[1] (analytic) 1.1640333033708041 y2[1] (numeric) 1.1640333033706538 absolute error 1.503241975342462e-13 relative error 1.2914080473379742e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16181143971446704 Order of pole (three term test) 22.026906924614696 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.16181143971446707 Order of pole (three term test) 22.973093075385314 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.269999999999847 y1[1] (analytic) 0.011954215142781277 y1[1] (numeric) 0.011954215142761609 absolute error 1.966829477062504e-14 relative error 1.6453020575342429e-10% Correct digits 12 h 0.01 y2[1] (analytic) 1.1541607181673812 y2[1] (numeric) 1.1541607181672304 absolute error 1.5076828674409626e-13 relative error 1.3063023578162639e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15231784777569787 Order of pole (three term test) 22.02376552702584 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1523178477756979 Order of pole (three term test) 22.976234472974163 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.279999999999847 y1[1] (analytic) 0.010462035531990543 y1[1] (numeric) 0.010462035531972357 absolute error 1.8186840922140846e-14 relative error 1.7383654324753144e-10% Correct digits 12 h 0.01 y2[1] (analytic) 1.1442727170206084 y2[1] (numeric) 1.1442727170204572 absolute error 1.5121237595394632e-13 relative error 1.3214714788242476e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14276333072869601 Order of pole (three term test) 22.020814616876464 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.14276333072869604 Order of pole (three term test) 22.979185383123536 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.289999999999846 y1[1] (analytic) 0.009068808893034408 y1[1] (numeric) 0.009068808893017685 absolute error 1.672273430841642e-14 relative error 1.843983538043332e-10% Correct digits 12 h 0.01 y2[1] (analytic) 1.1343702887223603 y2[1] (numeric) 1.1343702887222087 absolute error 1.5165646516379638e-13 relative error 1.3369220498062131e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13315171025288833 Order of pole (three term test) 22.01805537449129 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.13315171025288836 Order of pole (three term test) 22.981944625508703 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.299999999999846 y1[1] (analytic) 0.007774674547415761 y1[1] (numeric) 0.007774674547400473 absolute error 1.52881179937836e-14 relative error 1.9663997380913195e-10% Correct digits 12 h 0.01 y2[1] (analytic) 1.1244544235072151 y2[1] (numeric) 1.124454423507063 absolute error 1.5210055437364645e-13 relative error 1.3526609099836982e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.12348683086831225 Order of pole (three term test) 22.01548890353048 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1234868308683122 Order of pole (three term test) 22.98451109646952 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.309999999999846 y1[1] (analytic) 0.0065797619074906555 y1[1] (numeric) 0.0065797619074768375 absolute error 1.3817939847893257e-14 relative error 2.100066847732344e-10% Correct digits 12 h 0.01 y2[1] (analytic) 1.1145261129534305 y2[1] (numeric) 1.1145261129532782 absolute error 1.5232259897857148e-13 relative error 1.3667028274010134e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11377255839785762 Order of pole (three term test) 22.013116230548185 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.11377255839785766 Order of pole (three term test) 22.986883769451822 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.319999999999846 y1[1] (analytic) 0.0054841904635273275 y1[1] (numeric) 0.005484190463515016 absolute error 1.23113325090074e-14 relative error 2.2448769040543104e-10% Correct digits 12 h 0.01 y2[1] (analytic) 1.104586349883789 y2[1] (numeric) 1.1045863498836361 absolute error 1.5276668818842154e-13 relative error 1.3830216913733705e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10401277842099121 Order of pole (three term test) 22.01093830458198 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.10401277842099121 Order of pole (three term test) 22.989061695418012 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.329999999999846 y1[1] (analytic) 0.004488069771757197 y1[1] (numeric) 0.004488069771746432 absolute error 1.0764826530174076e-14 relative error 2.398542597959515e-10% Correct digits 12 h 0.01 y2[1] (analytic) 1.094636128266314 y2[1] (numeric) 1.0946361282661607 absolute error 1.532107773982716e-13 relative error 1.3996502896439845e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.094211394719575 Order of pole (three term test) 22.008955996773206 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.09421139471957506 Order of pole (three term test) 22.99104400322679 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.339999999999845 y1[1] (analytic) 0.0035914994434194103 y1[1] (numeric) 0.003591499443410164 absolute error 9.246509807825376e-15 relative error 2.574554153075942e-10% Correct digits 12 h 0.01 y2[1] (analytic) 1.0846764431148754 y2[1] (numeric) 1.084676443114722 absolute error 1.5343282200319663e-13 relative error 1.4145492232004429e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08437232771640606 Order of pole (three term test) 22.00717010001856 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.08437232771640607 Order of pole (three term test) 22.992829899981437 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.349999999999845 y1[1] (analytic) 0.002794569134799585 y1[1] (numeric) 0.0027945691347919044 absolute error 7.680488189887313e-15 relative error 2.7483622051948723e-10% Correct digits 12 h 0.01 y2[1] (analytic) 1.074708290389689 y2[1] (numeric) 1.074708290389535 absolute error 1.538769112130467e-13 relative error 1.4318016580783141e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0744995129071 Order of pole (three term test) 22.005581328652934 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.07449951290709998 Order of pole (three term test) 22.99441867134707 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.359999999999845 y1[1] (analytic) 0.0020973585382646487 y1[1] (numeric) 0.002097358538258411 absolute error 6.237631938743604e-15 relative error 2.974041788727554e-10% Correct digits 12 h 0.01 y2[1] (analytic) 1.0647326668977202 y2[1] (numeric) 1.064732666897566 absolute error 1.5409895581797173e-13 relative error 1.4473018496461207e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06459689928594475 Order of pole (three term test) 22.004190318163676 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.06459689928594475 Order of pole (three term test) 22.995809681836334 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.369999999999845 y1[1] (analytic) 0.0014999373742929922 y1[1] (numeric) 0.0014999373742883286 absolute error 4.663587224729149e-15 relative error 3.1091879598822374e-10% Correct digits 12 h 0.01 y2[1] (analytic) 1.0547505701930053 y2[1] (numeric) 1.054750570192851 absolute error 1.5432100042289676e-13 relative error 1.4631042142471472e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.054668447766355516 Order of pole (three term test) 22.002997624936445 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.05466844776635553 Order of pole (three term test) 22.99700237506356 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.379999999999844 y1[1] (analytic) 0.0010023653845033786 y1[1] (numeric) 0.001002365384500205 absolute error 3.1736765992995686e-15 relative error 3.1661873488099e-10% Correct digits 12 h 0.01 y2[1] (analytic) 1.0447629984768965 y2[1] (numeric) 1.044762998476742 absolute error 1.545430450278218e-13 relative error 1.4792162935816232e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04471812959656272 Order of pole (three term test) 22.00200372603263 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.04471812959656274 Order of pole (three term test) 22.997996273967374 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.389999999999844 y1[1] (analytic) 0.0006046923256799452 y1[1] (numeric) 0.0006046923256783775 absolute error 1.5677563414140394e-15 relative error 2.5926512952701667e-10% Correct digits 12 h 0.01 y2[1] (analytic) 1.0347709504982423 y2[1] (numeric) 1.0347709504980875 absolute error 1.5476508963274682e-13 relative error 1.4956458678920918e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0347499247711651 Order of pole (three term test) 22.001209018998537 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.034749924771165105 Order of pole (three term test) 22.99879098100146 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.399999999999844 y1[1] (analytic) 0.0003069579647974052 y1[1] (numeric) 0.0003069579647973353 absolute error 6.993104012531504e-17 relative error 2.2781959794224626e-11% Correct digits 13 h 0.01 y2[1] (analytic) 1.024775425453514 y2[1] (numeric) 1.024775425453359 absolute error 1.5498713423767185e-13 relative error 1.5124009650122353e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.024767820439184997 Order of pole (three term test) 22.00061382170639 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.024767820439184993 Order of pole (three term test) 22.999386178293598 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.409999999999844 y1[1] (analytic) 0.00010919207504356265 y1[1] (numeric) 0.00010919207504505603 absolute error 1.4933800723815338e-15 relative error 1.3676634240953323e-09% Correct digits 11 h 0.01 y2[1] (analytic) 1.0147774228868864 y2[1] (numeric) 1.0147774228867312 absolute error 1.5520917884259688e-13 relative error 1.5294898698184526e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.014775809309262514 Order of pole (three term test) 22.000218372227167 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.014775809309262521 Order of pole (three term test) 22.999781627772823 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.419999999999844 y1[1] (analytic) 1.14144328426935e-05 y1[1] (numeric) 1.1414432845710225e-05 absolute error 3.0167247823051357e-15 relative error 2.64290379020993e-08% Correct digits 10 h 0.01 y2[1] (analytic) 1.0047779425902847 y2[1] (numeric) 1.0047779425901293 absolute error 1.5543122344752192e-13 relative error 1.5469211341047684e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.004777888052624514 Order of pole (three term test) 22.000022828735396 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.004777888052624515 Order of pole (three term test) 22.999977171264604 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.429999999999843 y1[1] (analytic) 1.3634815877461293e-05 y1[1] (numeric) 1.3634815882036436e-05 absolute error 4.575143432508644e-15 relative error 3.3554860392881985e-08% Correct digits 10 h 0.01 y2[1] (analytic) 0.9947779845034057 y2[1] (numeric) 0.9947779845032501 absolute error 1.5565326805244695e-13 relative error 1.564703586902853e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.005221944295530151 Order of pole (three term test) 22.00002726944585 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.0052219442955301525 Order of pole (three term test) 22.99997273055415 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.439999999999843 y1[1] (analytic) 0.00011585300211147675 y1[1] (numeric) 0.00011585300211758068 absolute error 6.103922705821829e-15 relative error 5.2686789246501155e-09% Correct digits 11 h 0.01 y2[1] (analytic) 0.9847785486137246 y2[1] (numeric) 0.9847785486135687 absolute error 1.5587531265737198e-13 relative error 1.582846345270194e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.015219687935591683 Order of pole (three term test) 22.00023169258231 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.015219687935591688 Order of pole (three term test) 22.999768307417693 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.449999999999843 y1[1] (analytic) 0.0003180587698111692 y1[1] (numeric) 0.0003180587698189018 absolute error 7.732584104275242e-15 relative error 2.431180913158301e-09% Correct digits 11 h 0.01 y2[1] (analytic) 0.9747806348564976 y2[1] (numeric) 0.9747806348563416 absolute error 1.559863349598345e-13 relative error 1.6002198790376877e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.025211343903405396 Order of pole (three term test) 22.000636016378248 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.025211343903405396 Order of pole (three term test) 22.999363983621755 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.459999999999843 y1[1] (analytic) 0.000620231898568413 y1[1] (numeric) 0.0006202318985777334 absolute error 9.320452395988887e-15 relative error 1.5027367050133782e-09% Correct digits 11 h 0.01 y2[1] (analytic) 0.9647852430147689 y2[1] (numeric) 0.9647852430146128 absolute error 1.56097357262297e-13 relative error 1.617949262724238e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.03519291566980448 Order of pole (three term test) 22.00124007910954 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.03519291566980448 Order of pole (three term test) 22.998759920890457 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.469999999999843 y1[1] (analytic) 0.0010223421713221326 y1[1] (numeric) 0.0010223421713330095 absolute error 1.0876933034809078e-14 relative error 1.0639229545566535e-09% Correct digits 11 h 0.01 y2[1] (analytic) 0.9547933726193931 y2[1] (numeric) 0.9547933726192369 absolute error 1.5620837956475953e-13 relative error 1.6360438189491756e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.045160410739168357 Order of pole (three term test) 22.00204363915914 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.04516041073916837 Order of pole (three term test) 22.997956360840853 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.479999999999842 y1[1] (analytic) 0.0015243493773801076 y1[1] (numeric) 0.0015243493773925457 absolute error 1.2438184163188204e-14 relative error 8.159667558998617e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9448060228490833 y2[1] (numeric) 0.9448060228489271 absolute error 1.5620837956475953e-13 relative error 1.653338101017918e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.05510984224636725 Order of pole (three term test) 22.003046375113755 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.055109842246367266 Order of pole (three term test) 22.99695362488625 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.489999999999842 y1[1] (analytic) 0.0021262033164400895 y1[1] (numeric) 0.0021262033164540736 absolute error 1.3984039620718036e-14 relative error 6.577000192122534e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9348241924304939 y2[1] (numeric) 0.9348241924303375 absolute error 1.5631940186722204e-13 relative error 1.6721796796978456e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06503723055145577 Order of pole (three term test) 22.004247885892365 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.06503723055145579 Order of pole (three term test) 22.995752114107646 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.499999999999842 y1[1] (analytic) 0.0028278438036096754 y1[1] (numeric) 0.002827843803625231 absolute error 1.5555699089953023e-14 relative error 5.500904636280315e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9248488795383484 y2[1] (numeric) 0.924848879538192 absolute error 1.5643042416968456e-13 relative error 1.6914160532666597e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.07493860483147526 Order of pole (three term test) 22.00564769090667 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.07493860483147526 Order of pole (three term test) 22.99435230909334 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.509999999999842 y1[1] (analytic) 0.0036292006754248263 y1[1] (numeric) 0.003629200675441999 absolute error 1.7172895050432402e-14 relative error 4.731867038028196e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9148810816956232 y2[1] (numeric) 0.9148810816954668 absolute error 1.5643042416968456e-13 relative error 1.709844342608543e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0848100046687301 Order of pole (three term test) 22.007245230253332 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.0848100046687301 Order of pole (three term test) 22.99275476974666 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.519999999999841 y1[1] (analytic) 0.004530193796866255 y1[1] (numeric) 0.004530193796884991 absolute error 1.8735880902287505e-14 relative error 4.135779117274846e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9049217956737964 y2[1] (numeric) 0.90492179567364 absolute error 1.5643042416968456e-13 relative error 1.7286623542226422e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09464748163490248 Order of pole (three term test) 22.00903986493793 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.09464748163490252 Order of pole (three term test) 22.990960135062082 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.529999999999841 y1[1] (analytic) 0.005530733069372573 y1[1] (numeric) 0.0055307330693928885 absolute error 2.0315346627164388e-14 relative error 3.673174310231001e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.8949720173931707 y2[1] (numeric) 0.8949720173930141 absolute error 1.5654144647214707e-13 relative error 1.7491211281455826e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10444710087037051 Order of pole (three term test) 22.01103087713049 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.10444710087037054 Order of pole (three term test) 22.988969122869506 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.539999999999841 y1[1] (analytic) 0.006630718439850303 y1[1] (numeric) 0.006630718439872219 absolute error 2.191649639549098e-14 relative error 3.3052973963988395e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.8850327418232825 y2[1] (numeric) 0.885032741823126 absolute error 1.5654144647214707e-13 relative error 1.7687644657038488e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11420494265809997 Order of pole (three term test) 22.01321747045271 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.11420494265809997 Order of pole (three term test) 22.98678252954729 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.54999999999984 y1[1] (analytic) 0.007830039910679099 y1[1] (numeric) 0.007830039910702588 absolute error 2.3489890588201945e-14 relative error 2.999970735291523e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.8751049628834063 y2[1] (numeric) 0.8751049628832498 absolute error 1.5654144647214707e-13 relative error 1.7888305187569107e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.12391710399147833 Order of pole (three term test) 22.015598770296393 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.12391710399147834 Order of pole (three term test) 22.984401229703604 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.55999999999984 y1[1] (analytic) 0.009128577550711281 y1[1] (numeric) 0.009128577550736343 absolute error 2.5061550057436932e-14 relative error 2.7453948786888694e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.8651896733431629 y2[1] (numeric) 0.8651896733430064 absolute error 1.5643042416968456e-13 relative error 1.8080477494053384e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1335797001354661 Order of pole (three term test) 22.018173824173367 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.13357970013546613 Order of pole (three term test) 22.981826175826633 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.56999999999984 y1[1] (analytic) 0.01052620150726491 y1[1] (numeric) 0.01052620150729159 absolute error 2.6680047060523293e-14 relative error 2.534631988767213e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.8552878647232436 y2[1] (numeric) 0.8552878647230873 absolute error 1.5631940186722204e-13 relative error 1.827681746867814e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14318886618043852 Order of pole (three term test) 22.020941602096403 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1431888661804385 Order of pole (three term test) 22.979058397903593 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.57999999999984 y1[1] (analytic) 0.012022772019109063 y1[1] (numeric) 0.012022772019137358 absolute error 2.82950746166577e-14 relative error 2.353456804444545e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.845400527196259 y2[1] (numeric) 0.8454005271961027 absolute error 1.5631940186722204e-13 relative error 1.849057302881627e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15274075858809832 Order of pole (three term test) 22.023900996991244 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.15274075858809838 Order of pole (three term test) 22.97609900300876 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.58999999999984 y1[1] (analytic) 0.013618139430439657 y1[1] (numeric) 0.013618139430469599 absolute error 2.994132719535969e-14 relative error 2.1986356762094807e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.8355286494877223 y2[1] (numeric) 0.8355286494875661 absolute error 1.5620837956475953e-13 relative error 1.869575383926496e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16223155672883915 Order of pole (three term test) 22.02705082513939 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.16223155672883918 Order of pole (three term test) 22.97294917486062 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.59999999999984 y1[1] (analytic) 0.015312144205845146 y1[1] (numeric) 0.015312144205876649 absolute error 3.1502578323738817e-14 relative error 2.0573590413100506e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.8256732187771778 y2[1] (numeric) 0.8256732187770217 absolute error 1.56097357262297e-13 relative error 1.890546450004485e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17165746440994697 Order of pole (three term test) 22.030389826651565 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.171657464409947 Order of pole (three term test) 22.969610173348432 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.60999999999984 y1[1] (analytic) 0.017104616946259532 y1[1] (numeric) 0.017104616946292634 absolute error 3.310199336858943e-14 relative error 1.9352665699905216e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.8158352205994838 y2[1] (numeric) 0.8158352205993278 absolute error 1.559863349598345e-13 relative error 1.911983339542686e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18101471139402658 Order of pole (three term test) 22.0339166659717 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.18101471139402664 Order of pole (three term test) 22.9660833340283 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.61999999999984 y1[1] (analytic) 0.018995378405902597 y1[1] (numeric) 0.018995378405937235 absolute error 3.4638958368304884e-14 relative error 1.8235466347720257e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.8060156387462596 y2[1] (numeric) 0.8060156387461038 absolute error 1.5576429035490946e-13 relative error 1.932521937132604e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1902995549070459 Order of pole (three term test) 22.037629932411082 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1902995549070459 Order of pole (three term test) 22.962370067588914 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.62999999999984 y1[1] (analytic) 0.020984239510203784 y1[1] (numeric) 0.020984239510240116 absolute error 3.633204848085825e-14 relative error 1.7313969592842022e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.7962154551675077 y2[1] (numeric) 0.7962154551673521 absolute error 1.5554224574998443e-13 relative error 1.9535195497713802e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1995082811353959 Order of pole (three term test) 22.04152814071265 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.19950828113539587 Order of pole (three term test) 22.958471859287343 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.639999999999839 y1[1] (analytic) 0.023071001374710298 y1[1] (numeric) 0.023071001374748223 absolute error 3.7924524631804957e-14 relative error 1.6438178827112647e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.7864356498734193 y2[1] (numeric) 0.7864356498732638 absolute error 1.5554224574998443e-13 relative error 1.9778127527029035e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20863720671136668 Order of pole (three term test) 22.045609731645055 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.20863720671136668 Order of pole (three term test) 22.954390268354942 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.649999999999839 y1[1] (analytic) 0.02525545532497453 y1[1] (numeric) 0.02525545532501407 absolute error 3.954128691141534e-14 relative error 1.5656532975793902e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.7766772008363737 y2[1] (numeric) 0.7766772008362184 absolute error 1.553202011450594e-13 relative error 1.999803792074765e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21768268018644527 Order of pole (three term test) 22.049873072626347 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2176826801864453 Order of pole (three term test) 22.95012692737365 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.659999999999838 y1[1] (analytic) 0.027537382917421915 y1[1] (numeric) 0.027537382917463004 absolute error 4.108866025198665e-14 relative error 1.4921047644651565e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.7669410838931427 y2[1] (numeric) 0.7669410838929877 absolute error 1.5509815654013437e-13 relative error 2.0222955817261194e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22664108349184645 Order of pole (three term test) 22.054316458376974 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.22664108349184647 Order of pole (three term test) 22.945683541623026 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.669999999999838 y1[1] (analytic) 0.02991655596119469 y1[1] (numeric) 0.02991655596123738 absolute error 4.268807529683727e-14 relative error 1.426904733025043e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.7572282726473074 y2[1] (numeric) 0.7572282726471525 absolute error 1.5487611193520934e-13 relative error 2.045302817256873e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23550883338569162 Order of pole (three term test) 22.058938111601886 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.23550883338569165 Order of pole (three term test) 22.941061888398114 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.679999999999838 y1[1] (analytic) 0.03239273654097119 y1[1] (numeric) 0.03239273654101545 absolute error 4.426320421302421e-14 relative error 1.3664546111144064e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.7475397383718982 y2[1] (numeric) 0.7475397383717436 absolute error 1.546540673302843e-13 relative error 2.0688407504210094e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24428238288625845 Order of pole (three term test) 22.06373618370141 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.24428238288625856 Order of pole (three term test) 22.936263816298595 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.689999999999838 y1[1] (analytic) 0.034965677040756815 y1[1] (numeric) 0.03496567704080273 absolute error 4.591466096215413e-14 relative error 1.3131351899359742e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.7378764499122692 y2[1] (numeric) 0.7378764499121147 absolute error 1.545430450278218e-13 relative error 2.0944298336963645e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.25295822269072554 Order of pole (three term test) 22.06870875551068 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.25295822269072554 Order of pole (three term test) 22.931291244489323 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.699999999999838 y1[1] (analytic) 0.0376351201686459 y1[1] (numeric) 0.03763512016869334 absolute error 4.744121762101372e-14 relative error 1.260557091578981e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.7282393735892132 y2[1] (numeric) 0.7282393735890589 absolute error 1.5432100042289676e-13 relative error 2.119097181772905e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2615328825788479 Order of pole (three term test) 22.073853838067265 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.26153288257884794 Order of pole (three term test) 22.92614616193274 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.709999999999837 y1[1] (analytic) 0.04040079898254989 y1[1] (numeric) 0.04040079898259902 absolute error 4.912736883966318e-14 relative error 1.2159999325974346e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.7186294731023317 y2[1] (numeric) 0.7186294731021778 absolute error 1.538769112130467e-13 relative error 2.1412552222323737e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.27000293280099735 Order of pole (three term test) 22.07916937340676 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.27000293280099746 Order of pole (three term test) 22.920830626593247 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.719999999999837 y1[1] (analytic) 0.043262436916892355 y1[1] (numeric) 0.0432624369169431 absolute error 5.074413111927356e-14 relative error 1.1729374195160026e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.7090477094336656 y2[1] (numeric) 0.7090477094335119 absolute error 1.5365486660812167e-13 relative error 2.1670596289049395e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.27836498545001764 Order of pole (three term test) 22.084653235385886 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2783649854500176 Order of pole (three term test) 22.91534676461411 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.729999999999837 y1[1] (analytic) 0.0462197478102645 y1[1] (numeric) 0.04621974781031684 absolute error 5.2340076717172224e-14 relative error 1.1324180506573106e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.6994950407515965 y2[1] (numeric) 0.6994950407514432 absolute error 1.5332179970073412e-13 relative error 2.1918925906321257e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.286615695816341 Order of pole (three term test) 22.090303230532978 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2866156958163411 Order of pole (three term test) 22.909696769467022 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.739999999999837 y1[1] (analytic) 0.0492724359340414 y1[1] (numeric) 0.049272435934095325 absolute error 5.392214452726307e-14 relative error 1.0943673375403239e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.6899724223150323 y2[1] (numeric) 0.6899724223148793 absolute error 1.5298873279334657e-13 relative error 2.2173166324536654e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2947517637258299 Order of pole (three term test) 22.0961170989253 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.29475176372582984 Order of pole (three term test) 22.90388290107469 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.749999999999837 y1[1] (analytic) 0.05242019602195458 y1[1] (numeric) 0.05242019602201007 absolute error 5.5490334549546105e-14 relative error 1.0585678566769512e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.6804808063778812 y2[1] (numeric) 0.6804808063777286 absolute error 1.5265566588595902e-13 relative error 2.2433500615326253e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3027699348597996 Order of pole (three term test) 22.10209251509303 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.30276993485979975 Order of pole (three term test) 22.897907484906977 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.759999999999836 y1[1] (analytic) 0.05566271330061834 y1[1] (numeric) 0.05566271330067541 absolute error 5.707240235963695e-14 relative error 1.02532555413541e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.6710211420938272 y2[1] (numeric) 0.6710211420936749 absolute error 1.5232259897857148e-13 relative error 2.2700119180041063e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3106670020567042 Order of pole (three term test) 22.10822708894935 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.31066700205670417 Order of pole (three term test) 22.89177291105065 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.769999999999836 y1[1] (analytic) 0.05899966352100694 y1[1] (numeric) 0.058999663521065566 absolute error 5.862671459411217e-14 relative error 9.936787956975046e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.6615943754214156 y2[1] (numeric) 0.6615943754212638 absolute error 1.5187850976872141e-13 relative error 2.2956439082780804e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.31843980659495724 Order of pole (three term test) 22.114518366746523 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3184398065949573 Order of pole (three term test) 22.885481633253484 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.779999999999836 y1[1] (analytic) 0.06243071299087899 y1[1] (numeric) 0.06243071299093928 absolute error 6.029204913104991e-14 relative error 9.657434016468539e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.6522014490294583 y2[1] (numeric) 0.6522014490293068 absolute error 1.5154544286133387e-13 relative error 2.3235986839165844e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.32608523945637985 Order of pole (three term test) 22.12096383205732 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3260852394563798 Order of pole (three term test) 22.879036167942683 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.789999999999836 y1[1] (analytic) 0.06595551860814697 y1[1] (numeric) 0.06595551860820877 absolute error 6.179778910819778e-14 relative error 9.369616131039621e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.6428433022027666 y2[1] (numeric) 0.6428433022026157 absolute error 1.509903313490213e-13 relative error 2.348789056860947e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.33360024256976506 Order of pole (three term test) 22.127560906781532 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.33360024256976506 Order of pole (three term test) 22.872439093218468 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.799999999999836 y1[1] (analytic) 0.06957372789518623 y1[1] (numeric) 0.06957372789524963 absolute error 6.339373470609644e-14 relative error 9.111734648113145e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.6335208707482253 y2[1] (numeric) 0.6335208707480747 absolute error 1.5054624213917123e-13 relative error 2.3763422657467826e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3409818100340665 Order of pole (three term test) 22.13430695217725 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.34098181003406663 Order of pole (three term test) 22.865693047822752 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.809999999999835 y1[1] (analytic) 0.07328497903408326 y1[1] (numeric) 0.07328497903414832 absolute error 6.505906924303417e-14 relative error 8.87754490763743e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.6242350869012108 y2[1] (numeric) 0.6242350869010607 absolute error 1.5010215292932116e-13 relative error 2.4045773151658133e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3482269893207177 Order of pole (three term test) 22.141199269916253 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3482269893207178 Order of pole (three term test) 22.858800730083747 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.819999999999835 y1[1] (analytic) 0.07708890090281706 y1[1] (numeric) 0.07708890090288366 absolute error 6.659950368970158e-14 relative error 8.639311614218103e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.6149868792323698 y2[1] (numeric) 0.6149868792322202 absolute error 1.496580637194711e-13 relative error 2.433516368776439e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3553328824546053 Order of pole (three term test) 22.14823510316335 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3553328824546053 Order of pole (three term test) 22.851764896836652 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.829999999999835 y1[1] (analytic) 0.08098511311237055 y1[1] (numeric) 0.08098511311243868 absolute error 6.812606034856117e-14 relative error 8.412170796629392e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.6057771725547624 y2[1] (numeric) 0.6057771725546133 absolute error 1.4910295220715852e-13 relative error 2.461349799272596e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3622966471732195 Order of pole (three term test) 22.155411637679038 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.36229664717321963 Order of pole (three term test) 22.844588362320962 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.839999999999835 y1[1] (analytic) 0.08497322604476953 y1[1] (numeric) 0.08497322604483928 absolute error 6.974976152207546e-14 relative error 8.208439854375619e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.5966068878313815 y2[1] (numeric) 0.596606887831233 absolute error 1.4854784069484595e-13 relative error 2.4898780708819086e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3691154980635222 Order of pole (three term test) 22.16272600294521 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3691154980635221 Order of pole (three term test) 22.83727399705479 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.849999999999834 y1[1] (analytic) 0.08905284089204435 y1[1] (numeric) 0.08905284089211563 absolute error 7.127631818093505e-14 relative error 8.003823063583209e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.5874769420830578 y2[1] (numeric) 0.5874769420829097 absolute error 1.4810375148499588e-13 relative error 2.521013862430994e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3757867076760734 Order of pole (three term test) 22.170175273313266 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3757867076760734 Order of pole (three term test) 22.82982472668673 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.859999999999834 y1[1] (analytic) 0.0932235496961098 y1[1] (numeric) 0.09322354969618266 absolute error 7.28583859910259e-14 relative error 7.815448588744981e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.5783882482967576 y2[1] (numeric) 0.5783882482966101 absolute error 1.475486399726833e-13 relative error 2.5510310834839008e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.38230760761597726 Order of pole (three term test) 22.1777564691744 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3823076076159773 Order of pole (three term test) 22.8222435308256 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.869999999999834 y1[1] (analytic) 0.09748493538956104 y1[1] (numeric) 0.09748493538963554 absolute error 7.4495964952348e-14 relative error 7.641792514366813e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.5693417153342859 y2[1] (numeric) 0.5693417153341388 absolute error 1.4710455076283324e-13 relative error 2.5837655453800992e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.38867558961020143 Order of pole (three term test) 22.185466558151344 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.38867558961020143 Order of pole (three term test) 22.81453344184866 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.879999999999834 y1[1] (analytic) 0.10183657183738004 y1[1] (numeric) 0.10183657183745609 absolute error 7.605027718682322e-14 relative error 7.467874832654989e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.5603382478413999 y2[1] (numeric) 0.5603382478412534 absolute error 1.4643841694805815e-13 relative error 2.6133932051253907e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3948881065508536 Order of pole (three term test) 22.1933024563113 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3948881065508535 Order of pole (three term test) 22.806697543688696 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.889999999999834 y1[1] (analytic) 0.10627802387954832 y1[1] (numeric) 0.10627802387962586 absolute error 7.753520048225937e-14 relative error 7.295506413455238e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.5513787461573463 y2[1] (numeric) 0.5513787461572004 absolute error 1.4588330543574557e-13 relative error 2.645791236104611e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.40094267351398993 Order of pole (three term test) 22.20126102939949 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.40094267351399004 Order of pole (three term test) 22.798738970600517 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.899999999999833 y1[1] (analytic) 0.11080884737456276 y1[1] (numeric) 0.11080884737464183 absolute error 7.907563492892677e-14 relative error 7.136220329197229e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.5424641062248271 y2[1] (numeric) 0.5424641062246818 absolute error 1.45328193923433e-13 relative error 2.6790379723889226e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.40683686875355174 Order of pole (three term test) 22.20933909409278 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4068368687535518 Order of pole (three term test) 22.790660905907217 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.909999999999833 y1[1] (analytic) 0.11542858924384947 y1[1] (numeric) 0.1154285892439302 absolute error 8.07270916780567e-14 relative error 6.993682605573227e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.5335952195004068 y2[1] (numeric) 0.5335952195002621 absolute error 1.446620601086579e-13 relative error 2.7110823864595663e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.41256833467003134 Order of pole (three term test) 22.21753341927301 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.41256833467003146 Order of pole (three term test) 22.782466580726993 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.919999999999833 y1[1] (analytic) 0.12013678751707157 y1[1] (numeric) 0.12013678751715377 absolute error 8.219813718568503e-14 relative error 6.842045545291826e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.5247729728653672 y2[1] (numeric) 0.5247729728652231 absolute error 1.4410694859634532e-13 relative error 2.7460817543535457e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4181347787534809 Order of pole (three term test) 22.225840727319362 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4181347787534808 Order of pole (three term test) 22.774159272680645 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.929999999999833 y1[1] (analytic) 0.12493297137832493 y1[1] (numeric) 0.12493297137840874 absolute error 8.38079605713915e-14 relative error 6.708233995139865e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.5159982485370197 y2[1] (numeric) 0.5159982485368763 absolute error 1.4344081478157023e-13 relative error 2.779870187316716e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.42353397450048486 Order of pole (three term test) 22.23425769541937 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.42353397450048486 Order of pole (three term test) 22.765742304580627 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.939999999999833 y1[1] (analytic) 0.12981666121322044 y1[1] (numeric) 0.12981666121330576 absolute error 8.532063944244328e-14 relative error 6.572395149056128e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.507271923980485 y2[1] (numeric) 0.5072719239803424 absolute error 1.4266365866433262e-13 relative error 2.8123704845494454e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.42876376230473306 Order of pole (three term test) 22.242780956898034 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.42876376230473323 Order of pole (three term test) 22.757219043101966 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.949999999999832 y1[1] (analytic) 0.13478736865684426 y1[1] (numeric) 0.13478736865693108 absolute error 8.681944052568724e-14 relative error 6.441214884661872e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.4985948718209471 y2[1] (numeric) 0.49859487182080503 absolute error 1.4205303600078878e-13 relative error 2.8490673295934373e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4338220503208334 Order of pole (three term test) 22.251407102564393 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4338220503208334 Order of pole (three term test) 22.748592897435596 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.959999999999832 y1[1] (analytic) 0.1398445966425943 y1[1] (numeric) 0.1398445966426826 absolute error 8.829048603331557e-14 relative error 6.313471392746239e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.48996795975639074 y2[1] (numeric) 0.4899679597562494 absolute error 1.4133139103478243e-13 relative error 2.8845027153418682e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4387068153010223 Order of pole (three term test) 22.26013268207521 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.43870681530102223 Order of pole (three term test) 22.739867317924798 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.969999999999832 y1[1] (analytic) 0.1449878394518862 y1[1] (numeric) 0.14498783945197605 absolute error 8.984479826779079e-14 relative error 6.196712676555576e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.48139205047083355 y2[1] (numeric) 0.4813920504706929 absolute error 1.4066525722000733e-13 relative error 2.922051934227566e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4434161034044369 Order of pole (three term test) 22.26895420531499 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4434161034044369 Order of pole (three term test) 22.731045794685006 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.979999999999832 y1[1] (analytic) 0.15021658276472516 y1[1] (numeric) 0.15021658276481656 absolute error 9.139911050226601e-14 relative error 6.084488730875919e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.4728680015480574 y2[1] (numeric) 0.4728680015479174 absolute error 1.3999912340523224e-13 relative error 2.9606385491703475e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4479480309786256 Order of pole (three term test) 22.27786814379209 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4479480309786257 Order of pole (three term test) 22.722131856207916 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.989999999999831 y1[1] (analytic) 0.15553030371113719 y1[1] (numeric) 0.1555303037112301 absolute error 9.29256671611256e-14 relative error 5.974762791803859e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.4643966653858512 y2[1] (numeric) 0.46439666538571195 absolute error 1.392774784392259e-13 relative error 2.999105911398072e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.45230078531298373 Order of pole (three term test) 22.286870932049947 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.45230078531298373 Order of pole (three term test) 22.71312906795005 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.999999999999831 y1[1] (analytic) 0.16092847092345575 y1[1] (numeric) 0.16092847092355014 absolute error 9.439671266875393e-14 relative error 5.865755893104392e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.4559788891107718 y2[1] (numeric) 0.45597888911063333 absolute error 1.3844481117075702e-13 relative error 3.0362109842573075e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4564726253638133 Order of pole (three term test) 22.2959589690933 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4564726253638135 Order of pole (three term test) 22.704041030906698 NO COMPLEX POLE (six term test) for Equation 2 Finished! diff ( y1 , x , 1 ) = m1 * y2 + 1.0 ; diff ( y2 , x , 1 ) = y1 - 1.0 ; Iterations 991 Total Elapsed Time 14 Seconds Elapsed Time(since restart) 14 Seconds Time to Timeout 9 Minutes 46.0 Seconds Percent Done 100.2020202020185%