##############ECHO OF PROBLEM################# ##############temp/h5h3postode.ode################# diff ( y , x , 5 ) = m1 * diff ( y , x , 3 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=64; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=0.1 x_end=1.5 # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $array_y_init[0 + 1] = exact_soln_y(x_start) $array_y_init[1 + 1] = exact_soln_yp(x_start) $array_y_init[2 + 1] = exact_soln_ypp(x_start) $array_y_init[3 + 1] = exact_soln_yppp(x_start) $array_y_init[4 + 1] = exact_soln_ypppp(x_start) $glob_look_poles=true $glob_display_interval=0.1 $glob_max_minutes=2 $glob_desired_digits_correct=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_y (x) return(cos(x)) end def exact_soln_yp (x) return(-sin(x)) end def exact_soln_ypp (x) return(-cos(x)) end def exact_soln_yppp (x) return(sin(x)) end def exact_soln_ypppp (x) return(cos(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 1.4 estimated_steps 1400000.0 step_error 7.142857142857143e-17 est_needed_step_err 7.142857142857143e-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 2.4672086055323005e-183 estimated_step_error 2.4672086055323005e-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 1.655715664606565e-175 estimated_step_error 1.655715664606565e-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 1.111131969458435e-167 estimated_step_error 1.111131969458435e-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 7.456680367024182e-160 estimated_step_error 7.456680367024182e-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 5.004093412037814e-152 estimated_step_error 5.004093412037814e-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 3.3581901424816223e-144 estimated_step_error 3.3581901424816223e-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 2.2536431215809188e-136 estimated_step_error 2.2536431215809188e-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 1.512394117654306e-128 estimated_step_error 1.512394117654306e-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 1.014950270158055e-120 estimated_step_error 1.014950270158055e-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 6.811212724408104e-113 estimated_step_error 6.811212724408104e-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 4.5709231343600255e-105 estimated_step_error 4.5709231343600255e-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 3.067488750234035e-97 estimated_step_error 3.067488750234035e-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 2.0585490116181703e-89 estimated_step_error 2.0585490116181703e-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 1.3814583197406782e-81 estimated_step_error 1.3814583197406782e-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 9.270668118451425e-74 estimated_step_error 9.270668118451425e-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 6.221249002141338e-66 estimated_step_error 6.221249002141338e-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 4.174750875751542e-58 estimated_step_error 4.174750875751542e-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 2.801274758009001e-50 estimated_step_error 2.801274758009001e-50 best_h 0.1 START of Soultion TOP MAIN SOLVE Loop x[1] 0.1 y[1] (analytic) 0.9950041652780258 y[1] (numeric) 0.9950041652780258 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 0.09933466539753058 Order of pole (three term test) 22.00996671107938 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.11 y[1] (analytic) 0.9939560979566968 y[1] (numeric) 0.9939560979566969 absolute error 1.1102230246251565e-16 relative error 1.1169739054948934e-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 0.10911481154043468 Order of pole (three term test) 22.0120512753347 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.12 y[1] (analytic) 0.9928086358538663 y[1] (numeric) 0.9928086358538664 absolute error 1.1102230246251565e-16 relative error 1.1182648745498752e-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 0.1188513132135674 Order of pole (three term test) 22.01433101257399 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.13 y[1] (analytic) 0.9915618937147881 y[1] (numeric) 0.9915618937147882 absolute error 1.1102230246251565e-16 relative error 1.1196709269108925e-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 0.12854027594607764 Order of pole (three term test) 22.016805010932742 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.14 y[1] (analytic) 0.9902159962126371 y[1] (numeric) 0.9902159962126373 absolute error 2.220446049250313e-16 relative error 2.242385558042933e-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 0.13817782428205683 Order of pole (three term test) 22.019472280844614 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.15000000000000002 y[1] (analytic) 0.9887710779360422 y[1] (numeric) 0.9887710779360425 absolute error 2.220446049250313e-16 relative error 2.2456624175185883e-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 0.14776010333066986 Order of pole (three term test) 22.0223317554372 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.16000000000000003 y[1] (analytic) 0.9872272833756269 y[1] (numeric) 0.9872272833756272 absolute error 2.220446049250313e-16 relative error 2.249174112832397e-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 0.1572832803080588 Order of pole (three term test) 22.025382290958778 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.17000000000000004 y[1] (analytic) 0.9855847669095607 y[1] (numeric) 0.9855847669095609 absolute error 2.220446049250313e-16 relative error 2.2529224515237114e-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 0.16674354607040717 Order of pole (three term test) 22.028622667235823 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.18000000000000005 y[1] (analytic) 0.9838436927881214 y[1] (numeric) 0.9838436927881216 absolute error 1.1102230246251565e-16 relative error 1.1284546851938319e-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 0.1761371166375449 Order of pole (three term test) 22.032051588161032 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.19000000000000006 y[1] (analytic) 0.9820042351172703 y[1] (numeric) 0.9820042351172704 absolute error 1.1102230246251565e-16 relative error 1.1305684689766887e-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 0.18546023470649134 Order of pole (three term test) 22.03566768221174 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.20000000000000007 y[1] (analytic) 0.9800665778412416 y[1] (numeric) 0.9800665778412417 absolute error 1.1102230246251565e-16 relative error 1.1328036785731495e-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 0.1947091711543252 Order of pole (three term test) 22.039469502998553 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.21000000000000008 y[1] (analytic) 0.9780309147241483 y[1] (numeric) 0.9780309147241484 absolute error 1.1102230246251565e-16 relative error 1.1351614840705652e-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 0.20388022652978507 Order of pole (three term test) 22.04345552984385 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.22000000000000008 y[1] (analytic) 0.9758974493306055 y[1] (numeric) 0.9758974493306056 absolute error 1.1102230246251565e-16 relative error 1.137643125706178e-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 0.21296973253299978 Order of pole (three term test) 22.047624168390016 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2300000000000001 y[1] (analytic) 0.9736663950053748 y[1] (numeric) 0.973666395005375 absolute error 2.220446049250313e-16 relative error 2.280499830989911e-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 0.22197405348276003 Order of pole (three term test) 22.051973751237238 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2400000000000001 y[1] (analytic) 0.9713379748520296 y[1] (numeric) 0.9713379748520298 absolute error 2.220446049250313e-16 relative error 2.2859664779281058e-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 0.23088958777074162 Order of pole (three term test) 22.05650253861036 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2500000000000001 y[1] (analytic) 0.9689124217106447 y[1] (numeric) 0.968912421710645 absolute error 2.220446049250313e-16 relative error 2.2916891139965438e-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 0.2397127693021015 Order of pole (three term test) 22.061208719054815 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2600000000000001 y[1] (analytic) 0.9663899781345132 y[1] (numeric) 0.9663899781345134 absolute error 2.220446049250313e-16 relative error 2.2976708156024005e-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 0.24844006892186832 Order of pole (three term test) 22.06609041016118 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.27000000000000013 y[1] (analytic) 0.9637708963658905 y[1] (numeric) 0.9637708963658908 absolute error 2.220446049250313e-16 relative error 2.3039148179541338e-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 0.2570679958265565 Order of pole (three term test) 22.071145659318088 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.28000000000000014 y[1] (analytic) 0.9610554383107709 y[1] (numeric) 0.9610554383107712 absolute error 3.3306690738754696e-16 relative error 3.4656367792161125e-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 0.26559309896044164 Order of pole (three term test) 22.076372444493295 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.29000000000000015 y[1] (analytic) 0.9582438755126971 y[1] (numeric) 0.9582438755126974 absolute error 3.3306690738754696e-16 relative error 3.4758052297422036e-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 0.2740119683959368 Order of pole (three term test) 22.081768675042404 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.30000000000000016 y[1] (analytic) 0.955336489125606 y[1] (numeric) 0.9553364891256062 absolute error 2.220446049250313e-16 relative error 2.3242554581816802e-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 0.28232123669751746 Order of pole (three term test) 22.08733219254516 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.31000000000000016 y[1] (analytic) 0.9523335698857134 y[1] (numeric) 0.9523335698857136 absolute error 2.220446049250313e-16 relative error 2.3315843518115003e-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 0.2905175802686524 Order of pole (three term test) 22.09306077166873 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3200000000000002 y[1] (analytic) 0.9492354180824408 y[1] (numeric) 0.949235418082441 absolute error 2.220446049250313e-16 relative error 2.3391942683047546e-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 0.29859772068119617 Order of pole (three term test) 22.098952121057852 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3300000000000002 y[1] (analytic) 0.9460423435283869 y[1] (numeric) 0.9460423435283871 absolute error 2.220446049250313e-16 relative error 2.347089498096748e-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 0.30655842598671684 Order of pole (three term test) 22.105003884251314 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3400000000000002 y[1] (analytic) 0.9427546655283462 y[1] (numeric) 0.9427546655283464 absolute error 2.220446049250313e-16 relative error 2.3552745273404854e-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 0.31439651200923446 Order of pole (three term test) 22.111213640624534 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3500000000000002 y[1] (analytic) 0.9393727128473789 y[1] (numeric) 0.9393727128473791 absolute error 2.220446049250313e-16 relative error 2.3637540444620856e-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 0.3221088436188457 Order of pole (three term test) 22.11757890635776 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3600000000000002 y[1] (analytic) 0.9358968236779348 y[1] (numeric) 0.935896823677935 absolute error 2.220446049250313e-16 relative error 2.3725329470873632e-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 0.3296923359857365 Order of pole (three term test) 22.12409713542955 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3700000000000002 y[1] (analytic) 0.9323273456060344 y[1] (numeric) 0.9323273456060346 absolute error 2.220446049250313e-16 relative error 2.3816163493595392e-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 0.3371439558140727 Order of pole (three term test) 22.130765720635207 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3800000000000002 y[1] (analytic) 0.9286646355765101 y[1] (numeric) 0.9286646355765104 absolute error 2.220446049250313e-16 relative error 2.3910095896694418e-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 0.3444607225552756 Order of pole (three term test) 22.137581994629546 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.39000000000000024 y[1] (analytic) 0.924909059857313 y[1] (numeric) 0.9249090598573132 absolute error 2.220446049250313e-16 relative error 2.4007182388210842e-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 0.35163970960020496 Order of pole (three term test) 22.14454323099386 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.40000000000000024 y[1] (analytic) 0.921060994002885 y[1] (numeric) 0.9210609940028852 absolute error 2.220446049250313e-16 relative error 2.4107481086571322e-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 0.35867804544976123 Order of pole (three term test) 22.151646645326416 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.41000000000000025 y[1] (analytic) 0.917120822816605 y[1] (numeric) 0.9171208228166052 absolute error 2.220446049250313e-16 relative error 2.421105261170514e-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 0.36557291486344834 Order of pole (three term test) 22.158889396356194 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.42000000000000026 y[1] (analytic) 0.9130889403123081 y[1] (numeric) 0.9130889403123084 absolute error 2.220446049250313e-16 relative error 2.4317960181303295e-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 0.3723215599854297 Order of pole (three term test) 22.166268587079347 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.43000000000000027 y[1] (analytic) 0.908965749674885 y[1] (numeric) 0.9089657496748852 absolute error 2.220446049250313e-16 relative error 2.4428269712522314e-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 0.37892128144763837 Order of pole (three term test) 22.173781265917974 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4400000000000003 y[1] (analytic) 0.9047516632199633 y[1] (numeric) 0.9047516632199635 absolute error 2.220446049250313e-16 relative error 2.454204992945648e-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 0.3853694394494847 Order of pole (three term test) 22.181424427900712 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4500000000000003 y[1] (analytic) 0.9004471023526768 y[1] (numeric) 0.900447102352677 absolute error 2.220446049250313e-16 relative error 2.4659372476725838e-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) 22.189195015864666 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4600000000000003 y[1] (analytic) 0.8960524975255251 y[1] (numeric) 0.8960524975255253 absolute error 2.220446049250313e-16 relative error 2.4780312039552808e-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) 22.197089921678266 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4700000000000003 y[1] (analytic) 0.8915682881953289 y[1] (numeric) 0.891568288195329 absolute error 1.1102230246251565e-16 relative error 1.2452473235363927e-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 0.40377905020255717 Order of pole (three term test) 22.205105987484448 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4800000000000003 y[1] (analytic) 0.886994922779284 y[1] (numeric) 0.8869949227792843 absolute error 2.220446049250313e-16 relative error 2.5033356924894588e-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 0.4095957841504992 Order of pole (three term test) 22.213240006963776 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4900000000000003 y[1] (analytic) 0.8823328586101213 y[1] (numeric) 0.8823328586101216 absolute error 2.220446049250313e-16 relative error 2.5165628000616798e-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 TOP MAIN SOLVE Loop x[1] 0.5000000000000003 y[1] (analytic) 0.8775825618903725 y[1] (numeric) 0.8775825618903728 absolute error 2.220446049250313e-16 relative error 2.530184789072519e-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 0.4207354924039482 Order of pole (three term test) 22.229848847065927 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5100000000000003 y[1] (analytic) 0.8727445076457511 y[1] (numeric) 0.8727445076457513 absolute error 2.220446049250313e-16 relative error 2.5442108541479325e-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 0.42605401097468154 Order of pole (three term test) 22.238317024374176 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5200000000000004 y[1] (analytic) 0.8678191796776498 y[1] (numeric) 0.8678191796776499 absolute error 1.1102230246251565e-16 relative error 1.2793252910560785e-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 0.43120211362166916 Order of pole (three term test) 22.24688987138361 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5300000000000004 y[1] (analytic) 0.8628070705147608 y[1] (numeric) 0.862807070514761 absolute error 2.220446049250313e-16 relative error 2.5735139698444625e-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 0.43617774117249297 Order of pole (three term test) 22.255563959069736 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5400000000000004 y[1] (analytic) 0.8577086813638239 y[1] (numeric) 0.8577086813638242 absolute error 2.220446049250313e-16 relative error 2.588811443204271e-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 TOP MAIN SOLVE Loop x[1] 0.5500000000000004 y[1] (analytic) 0.8525245220595056 y[1] (numeric) 0.8525245220595058 absolute error 2.220446049250313e-16 relative error 2.6045538770969542e-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 0.4456036800307176 Order of pole (three term test) 22.273201939287215 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5600000000000004 y[1] (analytic) 0.8472551110134159 y[1] (numeric) 0.8472551110134162 absolute error 3.3306690738754696e-16 relative error 3.931128925137555e-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 0.4500502210882524 Order of pole (three term test) 22.282158776861642 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5700000000000004 y[1] (analytic) 0.8419009751622685 y[1] (numeric) 0.8419009751622688 absolute error 3.3306690738754696e-16 relative error 3.956129250513713e-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 0.45431674805794153 Order of pole (three term test) 22.291202748020822 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5800000000000004 y[1] (analytic) 0.8364626499151867 y[1] (numeric) 0.836462649915187 absolute error 3.3306690738754696e-16 relative error 3.9818503243548093e-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 0.4584015543858833 Order of pole (three term test) 22.300330235296865 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5900000000000004 y[1] (analytic) 0.8309406791001632 y[1] (numeric) 0.8309406791001636 absolute error 3.3306690738754696e-16 relative error 4.00831149280391e-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 0.46230300620400994 Order of pole (three term test) 22.309537587816557 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6000000000000004 y[1] (analytic) 0.8253356149096781 y[1] (numeric) 0.8253356149096783 absolute error 2.220446049250313e-16 relative error 2.69035530411869e-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 0.46601954298361314 Order of pole (three term test) 22.318821122761662 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6100000000000004 y[1] (analytic) 0.8196480178454792 y[1] (numeric) 0.8196480178454796 absolute error 3.3306690738754696e-16 relative error 4.063535812153175e-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) 22.328177126841982 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6200000000000004 y[1] (analytic) 0.8138784566625337 y[1] (numeric) 0.813878456662534 absolute error 3.3306690738754696e-16 relative error 4.0923421017107686e-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 0.47289199972476936 Order of pole (three term test) 22.337601857780612 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6300000000000004 y[1] (analytic) 0.8080275083121516 y[1] (numeric) 0.808027508312152 absolute error 3.3306690738754696e-16 relative error 4.1219748580499915e-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 0.47604517079525804 Order of pole (three term test) 22.34709154581086 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6400000000000005 y[1] (analytic) 0.8020957578842923 y[1] (numeric) 0.8020957578842928 absolute error 4.440892098500626e-16 relative error 5.5366108782503427e-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) 22.356642395184018 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6500000000000005 y[1] (analytic) 0.7960837985490555 y[1] (numeric) 0.796083798549056 absolute error 4.440892098500626e-16 relative error 5.5784229079835664e-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 0.4817790927085963 Order of pole (three term test) 22.366250585687702 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6600000000000005 y[1] (analytic) 0.7899922314973647 y[1] (numeric) 0.7899922314973652 absolute error 4.440892098500626e-16 relative error 5.621437681840597e-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 0.48435755005913234 Order of pole (three term test) 22.375912274173814 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6700000000000005 y[1] (analytic) 0.783821665880849 y[1] (numeric) 0.7838216658808493 absolute error 3.3306690738754696e-16 relative error 4.2492689585615184e-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 0.48674227084765953 Order of pole (three term test) 22.38562359609577 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6800000000000005 y[1] (analytic) 0.7775727187509276 y[1] (numeric) 0.777572718750928 absolute error 4.440892098500626e-16 relative error 5.711224161303343e-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 TOP MAIN SOLVE Loop x[1] 0.6900000000000005 y[1] (analytic) 0.7712460149971063 y[1] (numeric) 0.7712460149971067 absolute error 3.3306690738754696e-16 relative error 4.3185559589412806e-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 0.49092676518617995 Order of pole (three term test) 22.405179584351085 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7000000000000005 y[1] (analytic) 0.764842187284488 y[1] (numeric) 0.7648421872844885 absolute error 4.440892098500626e-16 relative error 5.806285495662398e-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 0.49272486499423007 Order of pole (three term test) 22.41501642854988 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7100000000000005 y[1] (analytic) 0.7583618759905079 y[1] (numeric) 0.7583618759905082 absolute error 3.3306690738754696e-16 relative error 4.391925780189349e-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 TOP MAIN SOLVE Loop x[1] 0.7200000000000005 y[1] (analytic) 0.7518057291408946 y[1] (numeric) 0.751805729140895 absolute error 4.440892098500626e-16 relative error 5.90696761991337e-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 TOP MAIN SOLVE Loop x[1] 0.7300000000000005 y[1] (analytic) 0.74517440234487 y[1] (numeric) 0.7451744023448704 absolute error 4.440892098500626e-16 relative error 5.95953388163401e-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 0.4969341817058223 Order of pole (three term test) 22.444715110089962 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7400000000000005 y[1] (analytic) 0.7384685587295875 y[1] (numeric) 0.7384685587295879 absolute error 4.440892098500626e-16 relative error 6.013650880601394e-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 0.4979404222688199 Order of pole (three term test) 22.454664187767843 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7500000000000006 y[1] (analytic) 0.7316888688738205 y[1] (numeric) 0.7316888688738209 absolute error 4.440892098500626e-16 relative error 6.069372225568812e-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 0.49874749330202717 Order of pole (three term test) 22.464631399166144 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7600000000000006 y[1] (analytic) 0.7248360107409048 y[1] (numeric) 0.7248360107409052 absolute error 4.440892098500626e-16 relative error 6.126754235018325e-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 0.49935507198779144 Order of pole (three term test) 22.474612757533208 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7700000000000006 y[1] (analytic) 0.717910669610943 y[1] (numeric) 0.7179106696109434 absolute error 4.440892098500626e-16 relative error 6.185856105060086e-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 0.49976291530273953 Order of pole (three term test) 22.484604270458764 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7800000000000006 y[1] (analytic) 0.710913538012277 y[1] (numeric) 0.7109135380122774 absolute error 4.440892098500626e-16 relative error 6.246740090106338e-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) 22.49460194147087 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7900000000000006 y[1] (analytic) 0.7038453156522356 y[1] (numeric) 0.7038453156522362 absolute error 5.551115123125783e-16 relative error 7.886839621830409e-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 TOP MAIN SOLVE Loop x[1] 0.8000000000000006 y[1] (analytic) 0.6967067093471649 y[1] (numeric) 0.6967067093471655 absolute error 5.551115123125783e-16 relative error 7.967649871388987e-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) 22.51459976115064 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8100000000000006 y[1] (analytic) 0.6894984329517466 y[1] (numeric) 0.6894984329517471 absolute error 4.440892098500626e-16 relative error 6.44075734804667e-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) 22.524591910957085 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8200000000000006 y[1] (analytic) 0.6822212072876132 y[1] (numeric) 0.6822212072876136 absolute error 4.440892098500626e-16 relative error 6.50946064276835e-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) 22.534574224327034 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8300000000000006 y[1] (analytic) 0.6748757600712666 y[1] (numeric) 0.6748757600712672 absolute error 5.551115123125783e-16 relative error 8.22538821447608e-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 0.4980119949582683 Order of pole (three term test) 22.544542708468228 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8400000000000006 y[1] (analytic) 0.6674628258413077 y[1] (numeric) 0.6674628258413081 absolute error 4.440892098500626e-16 relative error 6.653392408638004e-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 0.497021601099038 Order of pole (three term test) 22.554493376119932 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8500000000000006 y[1] (analytic) 0.6599831458849816 y[1] (numeric) 0.6599831458849822 absolute error 5.551115123125783e-16 relative error 8.41099527728425e-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) 22.56442224714776 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8600000000000007 y[1] (analytic) 0.6524374681640513 y[1] (numeric) 0.6524374681640519 absolute error 5.551115123125783e-16 relative error 8.50827151105612e-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 0.49444488300235073 Order of pole (three term test) 22.574325350135688 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8700000000000007 y[1] (analytic) 0.6448265472400007 y[1] (numeric) 0.6448265472400012 absolute error 5.551115123125783e-16 relative error 8.608695077592223e-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 0.49285958941777686 Order of pole (three term test) 22.584198723974534 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8800000000000007 y[1] (analytic) 0.6371511441985797 y[1] (numeric) 0.6371511441985802 absolute error 5.551115123125783e-16 relative error 8.712399206483537e-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 0.49107715856880935 Order of pole (three term test) 22.594038419446445 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8900000000000007 y[1] (analytic) 0.6294120265736963 y[1] (numeric) 0.6294120265736969 absolute error 5.551115123125783e-16 relative error 8.819525030915208e-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 0.4890983034040224 Order of pole (three term test) 22.603840500804395 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9000000000000007 y[1] (analytic) 0.621609968270664 y[1] (numeric) 0.6216099682706645 absolute error 5.551115123125783e-16 relative error 8.930222175440877e-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 0.4869238154390976 Order of pole (three term test) 22.61360104734654 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9100000000000007 y[1] (analytic) 0.613745749488811 y[1] (numeric) 0.6137457494888116 absolute error 5.551115123125783e-16 relative error 9.04464939716374e-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 0.4845545644402282 Order of pole (three term test) 22.623316154984416 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9200000000000007 y[1] (analytic) 0.6058201566434622 y[1] (numeric) 0.6058201566434629 absolute error 6.661338147750939e-16 relative error 1.099557034328139e-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 0.4819914980762241 Order of pole (three term test) 22.63298193780449 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9300000000000007 y[1] (analytic) 0.5978339822872977 y[1] (numeric) 0.5978339822872983 absolute error 6.661338147750939e-16 relative error 1.1142454837151993e-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 0.4792356415394572 Order of pole (three term test) 22.642594529622514 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9400000000000007 y[1] (analytic) 0.5897880250310976 y[1] (numeric) 0.5897880250310983 absolute error 6.661338147750939e-16 relative error 1.1294461509963191e-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 0.4762880971357976 Order of pole (three term test) 22.652150085529914 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9500000000000007 y[1] (analytic) 0.5816830894638829 y[1] (numeric) 0.5816830894638836 absolute error 6.661338147750939e-16 relative error 1.145183394258627e-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 0.4731500438437074 Order of pole (three term test) 22.661644783431754 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9600000000000007 y[1] (analytic) 0.573519986072456 y[1] (numeric) 0.5735199860724568 absolute error 7.771561172376096e-16 relative error 1.3550637050326385e-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 0.4698227368426625 Order of pole (three term test) 22.671074825575445 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9700000000000008 y[1] (analytic) 0.5652995311603537 y[1] (numeric) 0.5652995311603545 absolute error 7.771561172376096e-16 relative error 1.3747687277263288e-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 0.4663075070111003 Order of pole (three term test) 22.680436440069883 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9800000000000008 y[1] (analytic) 0.5570225467662167 y[1] (numeric) 0.5570225467662174 absolute error 7.771561172376096e-16 relative error 1.3951968762294703e-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 0.46260576039408413 Order of pole (three term test) 22.689725882394075 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9900000000000008 y[1] (analytic) 0.548689860581587 y[1] (numeric) 0.5486898605815878 absolute error 7.771561172376096e-16 relative error 1.416385052958439e-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 0.45871897764090497 Order of pole (three term test) 22.698939436894957 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0000000000000007 y[1] (analytic) 0.5403023058681392 y[1] (numeric) 0.5403023058681399 absolute error 6.661338147750939e-16 relative error 1.2328909344644994e-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 0.4546487134128409 Order of pole (three term test) 22.70807341827357 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0100000000000007 y[1] (analytic) 0.5318607213743549 y[1] (numeric) 0.5318607213743556 absolute error 6.661338147750939e-16 relative error 1.2524591269943202e-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 0.4503965957613137 Order of pole (three term test) 22.717124173059148 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0200000000000007 y[1] (analytic) 0.523365951251649 y[1] (numeric) 0.5233659512516496 absolute error 6.661338147750939e-16 relative error 1.27278783264752e-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 0.44596432547668974 Order of pole (three term test) 22.726088081070458 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0300000000000007 y[1] (analytic) 0.5148188449699548 y[1] (numeric) 0.5148188449699554 absolute error 6.661338147750939e-16 relative error 1.2939188634673425e-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 0.4413536754079874 Order of pole (three term test) 22.7349615568638 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0400000000000007 y[1] (analytic) 0.5062202572327777 y[1] (numeric) 0.5062202572327785 absolute error 7.771561172376096e-16 relative error 1.5352133900881134e-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 0.4365664897537585 Order of pole (three term test) 22.74374105116718 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0500000000000007 y[1] (analytic) 0.49757104789172635 y[1] (numeric) 0.4975710478917271 absolute error 7.771561172376096e-16 relative error 1.5618997940706593e-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 0.4316046833244371 Order of pole (three term test) 22.75242305229992 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0600000000000007 y[1] (analytic) 0.48887208186052694 y[1] (numeric) 0.4888720818605277 absolute error 7.771561172376096e-16 relative error 1.5896921629886175e-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 0.4264702407764382 Order of pole (three term test) 22.76100408757735 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0700000000000007 y[1] (analytic) 0.48012422902853347 y[1] (numeric) 0.4801242290285343 absolute error 8.326672684688674e-16 relative error 1.734274627534747e-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 0.421165215818323 Order of pole (three term test) 22.76948072469975 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0800000000000007 y[1] (analytic) 0.47132836417373936 y[1] (numeric) 0.4713283641737402 absolute error 8.326672684688674e-16 relative error 1.766639421178422e-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 0.41569173038934176 Order of pole (three term test) 22.777849573125305 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0900000000000007 y[1] (analytic) 0.46248536687530023 y[1] (numeric) 0.46248536687530106 absolute error 8.326672684688674e-16 relative error 1.800418625338646e-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 0.4100519738106872 Order of pole (three term test) 22.786107285426215 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1000000000000008 y[1] (analytic) 0.4535961214255767 y[1] (numeric) 0.4535961214255776 absolute error 8.881784197001252e-16 relative error 1.9580820420349476e-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 0.4042482019097952 Order of pole (three term test) 22.794250558627674 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1100000000000008 y[1] (analytic) 0.4446615167417062 y[1] (numeric) 0.44466151674170706 absolute error 8.881784197001252e-16 relative error 1.997425876222268e-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 0.3982827361180433 Order of pole (three term test) 22.802276135528967 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1200000000000008 y[1] (analytic) 0.4356824462767115 y[1] (numeric) 0.4356824462767124 absolute error 8.881784197001252e-16 relative error 2.0385912429807273e-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 0.39215796254221025 Order of pole (three term test) 22.810180806006336 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1300000000000008 y[1] (analytic) 0.4266598079301566 y[1] (numeric) 0.4266598079301575 absolute error 8.881784197001252e-16 relative error 2.081701634866714e-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 0.3858763310100631 Order of pole (three term test) 22.817961408297002 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1400000000000008 y[1] (analytic) 0.4175945039583574 y[1] (numeric) 0.4175945039583583 absolute error 8.881784197001252e-16 relative error 2.1268920239158478e-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 0.37944035409046095 Order of pole (three term test) 22.82561483026378 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1500000000000008 y[1] (analytic) 0.40848744088415656 y[1] (numeric) 0.4084874408841575 absolute error 9.43689570931383e-16 relative error 2.310204614586927e-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 0.37285260608836046 Order of pole (three term test) 22.83313801063991 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1600000000000008 y[1] (analytic) 0.39933952940627243 y[1] (numeric) 0.3993395294062734 absolute error 9.43689570931383e-16 relative error 2.3631258651865396e-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 0.3661157220151258 Order of pole (three term test) 22.840527940253573 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1700000000000008 y[1] (analytic) 0.39015168430822944 y[1] (numeric) 0.39015168430823044 absolute error 9.992007221626409e-16 relative error 2.561057051270469e-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 0.3592323965345633 Order of pole (three term test) 22.847781663231455 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1800000000000008 y[1] (analytic) 0.380924824366881 y[1] (numeric) 0.380924824366882 absolute error 9.992007221626409e-16 relative error 2.623091639730674e-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 0.35220538288508835 Order of pole (three term test) 22.85489627818106 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1900000000000008 y[1] (analytic) 0.37165987226053215 y[1] (numeric) 0.3716598722605332 absolute error 1.0547118733938987e-15 relative error 2.8378416722226866e-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 0.3450374917784685 Order of pole (three term test) 22.86186893935128 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2000000000000008 y[1] (analytic) 0.3623577544766728 y[1] (numeric) 0.36235775447667384 absolute error 1.0547118733938987e-15 relative error 2.9106921553731976e-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 0.33773159027557553 Order of pole (three term test) 22.868696857770626 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2100000000000009 y[1] (analytic) 0.35301940121932956 y[1] (numeric) 0.3530194012193306 absolute error 1.0547118733938987e-15 relative error 2.98768812634921e-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 0.3302906006396006 Order of pole (three term test) 22.875377302362747 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2200000000000009 y[1] (analytic) 0.3436457463160462 y[1] (numeric) 0.3436457463160473 absolute error 1.0547118733938987e-15 relative error 3.0691835551600133e-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 0.3227174991671857 Order of pole (three term test) 22.88190760103889 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2300000000000009 y[1] (analytic) 0.3342377271245018 y[1] (numeric) 0.33423772712450284 absolute error 1.0547118733938987e-15 relative error 3.155573975648249e-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 0.3150153149979464 Order of pole (three term test) 22.888285141766648 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2400000000000009 y[1] (analytic) 0.3247962844387754 y[1] (numeric) 0.32479628443877645 absolute error 1.0547118733938987e-15 relative error 3.247302767691339e-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 0.307187128902856 Order of pole (three term test) 22.894507373614765 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2500000000000009 y[1] (analytic) 0.31532236239526784 y[1] (numeric) 0.3153223623952689 absolute error 1.0547118733938987e-15 relative error 3.3448686143984287e-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 0.2992360720519785 Order of pole (three term test) 22.900571807773467 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.260000000000001 y[1] (analytic) 0.30581690837828845 y[1] (numeric) 0.30581690837828956 absolute error 1.1102230246251565e-15 relative error 3.630351998888944e-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 0.2911653247620411 Order of pole (three term test) 22.906476018549938 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.270000000000001 y[1] (analytic) 0.29628087292531785 y[1] (numeric) 0.29628087292531896 absolute error 1.1102230246251565e-15 relative error 3.7471977642816157e-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 0.28297811522435157 Order of pole (three term test) 22.912217644338607 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.280000000000001 y[1] (analytic) 0.2867152096319546 y[1] (numeric) 0.28671520963195574 absolute error 1.1102230246251565e-15 relative error 3.8722153109711463e-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 0.2746777182135631 Order of pole (three term test) 22.917794388565703 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.290000000000001 y[1] (analytic) 0.27712087505655675 y[1] (numeric) 0.27712087505655786 absolute error 1.1102230246251565e-15 relative error 4.0062771323112146e-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 0.2662674537778108 Order of pole (three term test) 22.92320402060789 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.300000000000001 y[1] (analytic) 0.2674988286245865 y[1] (numeric) 0.2674988286245876 absolute error 1.1102230246251565e-15 relative error 4.1503846216211544e-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 0.25775068591073225 Order of pole (three term test) 22.928444376684467 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.310000000000001 y[1] (analytic) 0.25785003253266875 y[1] (numeric) 0.25785003253266986 absolute error 1.1102230246251565e-15 relative error 4.3056927847565616e-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 0.24913082120591956 Order of pole (three term test) 22.933513360722905 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.320000000000001 y[1] (analytic) 0.24817545165237204 y[1] (numeric) 0.24817545165237315 absolute error 1.1102230246251565e-15 relative error 4.473540864872826e-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 0.2404113074943245 Order of pole (three term test) 22.938408945197143 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.330000000000001 y[1] (analytic) 0.23847605343372227 y[1] (numeric) 0.23847605343372338 absolute error 1.1102230246251565e-15 relative error 4.655490598068421e-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 0.2315956324651729 Order of pole (three term test) 22.943129171938676 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.340000000000001 y[1] (analytic) 0.22875280780845852 y[1] (numeric) 0.22875280780845964 absolute error 1.1102230246251565e-15 relative error 4.853374414336278e-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 0.22268732227093588 Order of pole (three term test) 22.94767215291974 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.350000000000001 y[1] (analytic) 0.21900668709304064 y[1] (numeric) 0.21900668709304175 absolute error 1.1102230246251565e-15 relative error 5.069356736826489e-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 0.21368994011691522 Order of pole (three term test) 22.95203607100853 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.360000000000001 y[1] (analytic) 0.2092386658914184 y[1] (numeric) 0.2092386658914195 absolute error 1.1102230246251565e-15 relative error 5.306012729030168e-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 0.20460708483600865 Order of pole (three term test) 22.956219180695975 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.370000000000001 y[1] (analytic) 0.199449720997572 y[1] (numeric) 0.19944972099757313 absolute error 1.1379786002407855e-15 relative error 5.705591336749169e-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 0.19544238944922634 Order of pole (three term test) 22.960219808793987 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.380000000000001 y[1] (analytic) 0.18964083129783338 y[1] (numeric) 0.18964083129783452 absolute error 1.1379786002407855e-15 relative error 6.000704555305262e-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 0.18619951971252807 Order of pole (three term test) 22.964036355104668 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.390000000000001 y[1] (analytic) 0.17981297767299848 y[1] (numeric) 0.17981297767299964 absolute error 1.1657341758564144e-15 relative error 6.483036936168074e-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 0.1768821726505719 Order of pole (three term test) 22.96766729306037 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.400000000000001 y[1] (analytic) 0.16996714290023993 y[1] (numeric) 0.1699671429002411 absolute error 1.1657341758564144e-15 relative error 6.858585465195631e-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 0.16749407507795264 Order of pole (three term test) 22.97111117033433 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.410000000000001 y[1] (analytic) 0.16010431155483018 y[1] (numeric) 0.16010431155483135 absolute error 1.1657341758564144e-15 relative error 7.281091711619464e-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 0.1580389821085271 Order of pole (three term test) 22.974366609421555 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.420000000000001 y[1] (analytic) 0.15022546991168476 y[1] (numeric) 0.15022546991168592 absolute error 1.1657341758564144e-15 relative error 7.759897017075277e-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 0.1485206756534164 Order of pole (three term test) 22.977432308189805 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.430000000000001 y[1] (analytic) 0.14033160584673562 y[1] (numeric) 0.14033160584673682 absolute error 1.1934897514720433e-15 relative error 8.504782256789132e-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 0.13894296290829353 Order of pole (three term test) 22.980307040400476 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.440000000000001 y[1] (analytic) 0.13042370873814443 y[1] (numeric) 0.13042370873814566 absolute error 1.2212453270876722e-15 relative error 9.363675814031655e-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 0.12930967483055555 Order of pole (three term test) 22.98298965619899 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.450000000000001 y[1] (analytic) 0.12050276936736551 y[1] (numeric) 0.12050276936736673 absolute error 1.2212453270876722e-15 relative error 1.0134583076382054e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11962466460699135 Order of pole (three term test) 22.985479082574795 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.460000000000001 y[1] (analytic) 0.11056977982006848 y[1] (numeric) 0.11056977982006971 absolute error 1.2351231148954867e-15 relative error 1.1170530654084843e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10989180611255862 Order of pole (three term test) 22.987774323790543 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.470000000000001 y[1] (analytic) 0.10062573338693062 y[1] (numeric) 0.10062573338693186 absolute error 1.2351231148954867e-15 relative error 1.2274425967621378e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10011499236088549 Order of pole (three term test) 22.989874461780342 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.480000000000001 y[1] (analytic) 0.09067162446430857 y[1] (numeric) 0.0906716244643098 absolute error 1.2351231148954867e-15 relative error 1.3621936545116969e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09029813394711667 Order of pole (three term test) 22.991778656517003 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.490000000000001 y[1] (analytic) 0.08070844845479952 y[1] (numeric) 0.08070844845480077 absolute error 1.2490009027033011e-15 relative error 1.5475466653318204e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0804451574837281 Order of pole (three term test) 22.993486146348012 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 5 ) = m1 * diff ( y , x , 3 ) ; Iterations 140 Total Elapsed Time 1 Seconds Elapsed Time(since restart) 1 Seconds Time to Timeout 9 Minutes 59.0 Seconds Percent Done 100.71428571428581%