##############ECHO OF PROBLEM################# ##############temp/mtest1postode.ode################# diff ( y1 , x , 1 ) = neg ( y2 ) + 1.0 ; diff ( y2 , x , 1 ) = y1 - 1.0 ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=40 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(0.1) x_end=c(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 # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $glob_type_given_pole=3 #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=8 $glob_max_minutes=(3.0) $glob_subiter_method=3 $glob_max_iter=100000 $glob_upper_ratio_limit=c(1.000001) $glob_lower_ratio_limit=c(0.999999) $glob_look_poles=true $glob_h=c(0.001) $glob_display_interval=c(0.01) #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y1 (x) x = c(x) return(c(1.0) + cos(c(x))) end def exact_soln_y2 (x) x = c(x) return(c(1.0) + sin(c(x))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.1 y1[1] (closed_form) 1.9950041652780257 y1[1] (numeric) 1.9950041652780257 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 y2[1] (closed_form) 1.0998334166468282 y2[1] (numeric) 1.0998334166468282 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09933466539753065 Order of pole (three term test) 32.00996671107938 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.09933466539753066 Order of pole (three term test) 32.990033288920614 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.11000000000000001 y1[1] (closed_form) 1.9939560979566968 y1[1] (numeric) 1.993956097956697 absolute error 2.220446049250313e-16 relative error 1.1135882337257633e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 y2[1] (closed_form) 1.1097783008371749 y2[1] (numeric) 1.1097783008371749 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10911481154043465 Order of pole (three term test) 32.0120512753347 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.10911481154043465 Order of pole (three term test) 32.98794872466531 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.12000000000000002 y1[1] (closed_form) 1.9928086358538661 y1[1] (numeric) 1.9928086358538664 absolute error 2.220446049250313e-16 relative error 1.1142294394458554e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 y2[1] (closed_form) 1.1197122072889194 y2[1] (numeric) 1.1197122072889192 absolute error 2.220446049250313e-16 relative error 1.983050675696859e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11885131321356723 Order of pole (three term test) 32.01433101257399 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.11885131321356725 Order of pole (three term test) 32.98566898742602 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.13000000000000003 y1[1] (closed_form) 1.991561893714788 y1[1] (numeric) 1.9915618937147883 absolute error 2.220446049250313e-16 relative error 1.1149269607225692e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 y2[1] (closed_form) 1.129634142619695 y2[1] (numeric) 1.1296341426196943 absolute error 6.661338147750939e-16 relative error 5.896898735995057e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.12854027594607695 Order of pole (three term test) 32.01680501093274 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.128540275946077 Order of pole (three term test) 32.983194989067265 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.14000000000000004 y1[1] (closed_form) 1.9902159962126371 y1[1] (numeric) 1.9902159962126371 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 y2[1] (closed_form) 1.1395431146442365 y2[1] (numeric) 1.1395431146442359 absolute error 6.661338147750939e-16 relative error 5.84562186559356e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1381778242820563 Order of pole (three term test) 32.01947228084462 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1381778242820563 Order of pole (three term test) 32.98052771915538 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.15000000000000005 y1[1] (closed_form) 1.9887710779360424 y1[1] (numeric) 1.9887710779360424 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 y2[1] (closed_form) 1.1494381324735992 y2[1] (numeric) 1.1494381324735985 absolute error 6.661338147750939e-16 relative error 5.79529942461165e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1477601033306692 Order of pole (three term test) 32.0223317554372 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1477601033306692 Order of pole (three term test) 32.9776682445628 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.16000000000000006 y1[1] (closed_form) 1.9872272833756268 y1[1] (numeric) 1.9872272833756266 absolute error 2.220446049250313e-16 relative error 1.1173588787884023e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.159318206614246 y2[1] (numeric) 1.1593182066142451 absolute error 8.881784197001252e-16 relative error 7.66121341520223e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15728328030805827 Order of pole (three term test) 32.02538229095878 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.15728328030805824 Order of pole (three term test) 32.97461770904122 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.17000000000000007 y1[1] (closed_form) 1.9855847669095605 y1[1] (numeric) 1.9855847669095605 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.1691823490669961 y2[1] (numeric) 1.169182349066995 absolute error 1.1102230246251565e-15 relative error 9.49572173674287e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16674354607040626 Order of pole (three term test) 32.02862266723583 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.16674354607040623 Order of pole (three term test) 32.97137733276417 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.18000000000000008 y1[1] (closed_form) 1.9838436927881213 y1[1] (numeric) 1.9838436927881213 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.1790295734258243 y2[1] (numeric) 1.1790295734258234 absolute error 8.881784197001252e-16 relative error 7.533130972443778e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17613711663754414 Order of pole (three term test) 32.03205158816103 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1761371166375441 Order of pole (three term test) 32.967948411838975 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.19000000000000009 y1[1] (closed_form) 1.9820042351172704 y1[1] (numeric) 1.98200423511727 absolute error 4.440892098500626e-16 relative error 2.240606765523823e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.1888588949765007 y2[1] (numeric) 1.1888588949764995 absolute error 1.1102230246251565e-15 relative error 9.338560104284719e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18546023470649053 Order of pole (three term test) 32.035667682211745 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1854602347064905 Order of pole (three term test) 32.964332317788255 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.2000000000000001 y1[1] (closed_form) 1.9800665778412416 y1[1] (numeric) 1.980066577841241 absolute error 6.661338147750939e-16 relative error 3.364199074060142e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.1986693307950613 y2[1] (numeric) 1.1986693307950602 absolute error 1.1102230246251565e-15 relative error 9.262129230325435e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1947091711543245 Order of pole (three term test) 32.03946950299856 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1947091711543246 Order of pole (three term test) 32.96053049700144 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.2100000000000001 y1[1] (closed_form) 1.9780309147241484 y1[1] (numeric) 1.9780309147241475 absolute error 8.881784197001252e-16 relative error 4.49021505725045e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.2084598998460996 y2[1] (numeric) 1.2084598998460985 absolute error 1.1102230246251565e-15 relative error 9.187090318566187e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2038802265297843 Order of pole (three term test) 32.04345552984385 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.20388022652978424 Order of pole (three term test) 32.95654447015615 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.2200000000000001 y1[1] (closed_form) 1.9758974493306054 y1[1] (numeric) 1.9758974493306043 absolute error 1.1102230246251565e-15 relative error 5.6188291806403105e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.2182296230808694 y2[1] (numeric) 1.2182296230808682 absolute error 1.1102230246251565e-15 relative error 9.113413461556065e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21296973253299892 Order of pole (three term test) 32.047624168390016 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.21296973253299895 Order of pole (three term test) 32.952375831609984 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.23000000000000012 y1[1] (closed_form) 1.9736663950053748 y1[1] (numeric) 1.9736663950053734 absolute error 1.3322676295501878e-15 relative error 6.750216920760612e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.2279775235351886 y2[1] (numeric) 1.2279775235351873 absolute error 1.3322676295501878e-15 relative error 1.0849283508990958e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22197405348275911 Order of pole (three term test) 32.051973751237234 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.22197405348275906 Order of pole (three term test) 32.948026248762766 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.24000000000000013 y1[1] (closed_form) 1.9713379748520294 y1[1] (numeric) 1.9713379748520279 absolute error 1.5543122344752192e-15 relative error 7.884554826738359e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.2377026264271347 y2[1] (numeric) 1.2377026264271338 absolute error 8.881784197001252e-16 relative error 7.176024359453951e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23088958777074123 Order of pole (three term test) 32.05650253861035 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2308895877707412 Order of pole (three term test) 32.94349746138964 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.2500000000000001 y1[1] (closed_form) 1.9689124217106446 y1[1] (numeric) 1.9689124217106433 absolute error 1.3322676295501878e-15 relative error 6.766515436947051e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.247403959254523 y2[1] (numeric) 1.247403959254522 absolute error 8.881784197001252e-16 relative error 7.120214851898666e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.239712769302101 Order of pole (three term test) 32.06120871905482 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.23971276930210103 Order of pole (three term test) 32.938791280945196 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.2600000000000001 y1[1] (closed_form) 1.9663899781345133 y1[1] (numeric) 1.966389978134512 absolute error 1.3322676295501878e-15 relative error 6.775195380186445e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.2570805518921553 y2[1] (numeric) 1.2570805518921544 absolute error 8.881784197001252e-16 relative error 7.065405779790649e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2484400689218682 Order of pole (three term test) 32.06609041016117 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.24844006892186818 Order of pole (three term test) 32.93390958983882 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.27000000000000013 y1[1] (closed_form) 1.9637708963658906 y1[1] (numeric) 1.9637708963658895 absolute error 1.1102230246251565e-15 relative error 5.653526216727775e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.2667314366888314 y2[1] (numeric) 1.2667314366888303 absolute error 1.1102230246251565e-15 relative error 8.764470451031203e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2570679958265561 Order of pole (three term test) 32.071145659318084 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.25706799582655604 Order of pole (three term test) 32.92885434068191 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.28000000000000014 y1[1] (closed_form) 1.9610554383107708 y1[1] (numeric) 1.9610554383107697 absolute error 1.1102230246251565e-15 relative error 5.661354610053702e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.2763556485641139 y2[1] (numeric) 1.2763556485641128 absolute error 1.1102230246251565e-15 relative error 8.698382977143912e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.26559309896044125 Order of pole (three term test) 32.076372444493295 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.26559309896044125 Order of pole (three term test) 32.92362755550671 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.29000000000000015 y1[1] (closed_form) 1.958243875512697 y1[1] (numeric) 1.9582438755126956 absolute error 1.3322676295501878e-15 relative error 6.80337952902511e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.2859522251048356 y2[1] (numeric) 1.2859522251048348 absolute error 8.881784197001252e-16 relative error 6.906776180022688e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.27401196839593644 Order of pole (three term test) 32.081768675042404 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.27401196839593644 Order of pole (three term test) 32.91823132495759 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.30000000000000016 y1[1] (closed_form) 1.955336489125606 y1[1] (numeric) 1.9553364891256044 absolute error 1.5543122344752192e-15 relative error 7.94907803909639e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.2955202066613398 y2[1] (numeric) 1.2955202066613387 absolute error 1.1102230246251565e-15 relative error 8.569708283333465e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2823212366975175 Order of pole (three term test) 32.08733219254516 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2823212366975174 Order of pole (three term test) 32.91266780745484 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.31000000000000016 y1[1] (closed_form) 1.9523335698857134 y1[1] (numeric) 1.952333569885712 absolute error 1.3322676295501878e-15 relative error 6.823975421516604e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.3050586364434436 y2[1] (numeric) 1.3050586364434427 absolute error 8.881784197001252e-16 relative error 6.805659109084909e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (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) 32.09306077166873 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2905175802686523 Order of pole (three term test) 32.90693922833127 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.3200000000000002 y1[1] (closed_form) 1.949235418082441 y1[1] (numeric) 1.9492354180824398 absolute error 1.1102230246251565e-15 relative error 5.695684648072616e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.3145665606161179 y2[1] (numeric) 1.3145665606161172 absolute error 6.661338147750939e-16 relative error 5.0673266362631866e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.29859772068119567 Order of pole (three term test) 32.098952121057856 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.29859772068119567 Order of pole (three term test) 32.90104787894215 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.3300000000000002 y1[1] (closed_form) 1.946042343528387 y1[1] (numeric) 1.946042343528386 absolute error 8.881784197001252e-16 relative error 4.5640241213341786e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.3240430283948685 y2[1] (numeric) 1.3240430283948676 absolute error 8.881784197001252e-16 relative error 6.708078216890428e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3065584259867168 Order of pole (three term test) 32.105003884251325 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.30655842598671673 Order of pole (three term test) 32.89499611574868 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.3400000000000002 y1[1] (closed_form) 1.942754665528346 y1[1] (numeric) 1.942754665528345 absolute error 1.1102230246251565e-15 relative error 5.714684639932255e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.3334870921408146 y2[1] (numeric) 1.3334870921408135 absolute error 1.1102230246251565e-15 relative error 8.325712570961417e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.314396512009234 Order of pole (three term test) 32.111213640624534 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3143965120092341 Order of pole (three term test) 32.88878635937546 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.3500000000000002 y1[1] (closed_form) 1.939372712847379 y1[1] (numeric) 1.9393727128473779 absolute error 1.1102230246251565e-15 relative error 5.724650126664573e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.3428978074554516 y2[1] (numeric) 1.3428978074554505 absolute error 1.1102230246251565e-15 relative error 8.267367914829114e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.32210884361884523 Order of pole (three term test) 32.11757890635776 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3221088436188453 Order of pole (three term test) 32.88242109364224 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.3600000000000002 y1[1] (closed_form) 1.9358968236779348 y1[1] (numeric) 1.935896823677934 absolute error 8.881784197001252e-16 relative error 4.5879429566535975e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.35227423327509 y2[1] (numeric) 1.3522742332750892 absolute error 8.881784197001252e-16 relative error 6.568034780556565e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.32969233598573633 Order of pole (three term test) 32.12409713542955 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.32969233598573616 Order of pole (three term test) 32.87590286457045 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.3700000000000002 y1[1] (closed_form) 1.9323273456060344 y1[1] (numeric) 1.932327345606034 absolute error 4.440892098500626e-16 relative error 2.2982090009743315e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.3616154319649623 y2[1] (numeric) 1.3616154319649612 absolute error 1.1102230246251565e-15 relative error 8.153719461176946e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3371439558140721 Order of pole (three term test) 32.1307657206352 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3371439558140722 Order of pole (three term test) 32.8692342793648 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.3800000000000002 y1[1] (closed_form) 1.92866463557651 y1[1] (numeric) 1.9286646355765096 absolute error 4.440892098500626e-16 relative error 2.3025735094547266e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.3709204694129828 y2[1] (numeric) 1.370920469412982 absolute error 8.881784197001252e-16 relative error 6.478701277838795e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.34446072255527543 Order of pole (three term test) 32.13758199462954 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.34446072255527543 Order of pole (three term test) 32.86241800537046 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.39000000000000024 y1[1] (closed_form) 1.9249090598573129 y1[1] (numeric) 1.9249090598573122 absolute error 6.661338147750939e-16 relative error 3.460598885770075e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.3801884151231616 y2[1] (numeric) 1.3801884151231607 absolute error 8.881784197001252e-16 relative error 6.435196890280146e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3516397096002049 Order of pole (three term test) 32.14454323099386 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.35163970960020485 Order of pole (three term test) 32.85545676900613 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.40000000000000024 y1[1] (closed_form) 1.921060994002885 y1[1] (numeric) 1.9210609940028847 absolute error 4.440892098500626e-16 relative error 2.311687193880923e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.3894183423086508 y2[1] (numeric) 1.3894183423086495 absolute error 1.3322676295501878e-15 relative error 9.588671669156882e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3586780454497609 Order of pole (three term test) 32.151646645326416 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.35867804544976073 Order of pole (three term test) 32.84835335467358 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.41000000000000025 y1[1] (closed_form) 1.917120822816605 y1[1] (numeric) 1.9171208228166048 absolute error 2.220446049250313e-16 relative error 1.1582191496872207e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.3986093279844232 y2[1] (numeric) 1.3986093279844218 absolute error 1.3322676295501878e-15 relative error 9.525659545472629e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.36557291486344706 Order of pole (three term test) 32.158889396356194 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3655729148634472 Order of pole (three term test) 32.84111060364381 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.42000000000000026 y1[1] (closed_form) 1.9130889403123081 y1[1] (numeric) 1.913088940312308 absolute error 2.220446049250313e-16 relative error 1.1606601253404505e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.4077604530595704 y2[1] (numeric) 1.4077604530595693 absolute error 1.1102230246251565e-15 relative error 7.88644845230765e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.37232155998542926 Order of pole (three term test) 32.166268587079344 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.37232155998542926 Order of pole (three term test) 32.833731412920656 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.43000000000000027 y1[1] (closed_form) 1.908965749674885 y1[1] (numeric) 1.9089657496748849 absolute error 2.220446049250313e-16 relative error 1.1631670445781838e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.416870802429211 y2[1] (numeric) 1.4168708024292098 absolute error 1.1102230246251565e-15 relative error 7.835739311740281e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.37892128144763804 Order of pole (three term test) 32.173781265917974 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3789212814476379 Order of pole (three term test) 32.826218734082026 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.4400000000000003 y1[1] (closed_form) 1.9047516632199633 y1[1] (numeric) 1.904751663219963 absolute error 2.220446049250313e-16 relative error 1.1657404438207297e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.4259394650659998 y2[1] (numeric) 1.4259394650659987 absolute error 1.1102230246251565e-15 relative error 7.785905726185717e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (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) 32.18142442790071 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.38536943944948443 Order of pole (three term test) 32.818575572099284 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.4500000000000003 y1[1] (closed_form) 1.9004471023526768 y1[1] (numeric) 1.9004471023526766 absolute error 2.220446049250313e-16 relative error 1.1683808754800333e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.4349655341112304 y2[1] (numeric) 1.434965534111229 absolute error 1.3322676295501878e-15 relative error 9.284317970573069e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3916634548137412 Order of pole (three term test) 32.18919501586466 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.39166345481374104 Order of pole (three term test) 32.81080498413533 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.4600000000000003 y1[1] (closed_form) 1.896052497525525 y1[1] (numeric) 1.8960524975255244 absolute error 6.661338147750939e-16 relative error 3.5132667246526294e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.44394810696552 y2[1] (numeric) 1.443948106965519 absolute error 1.1102230246251565e-15 relative error 7.688801413773159e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.39780081001818285 Order of pole (three term test) 32.19708992167827 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3978008100181828 Order of pole (three term test) 32.80291007832173 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.4700000000000003 y1[1] (closed_form) 1.8915682881953289 y1[1] (numeric) 1.8915682881953282 absolute error 6.661338147750939e-16 relative error 3.5215953816323813e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.4528862853790685 y2[1] (numeric) 1.4528862853790674 absolute error 1.1102230246251565e-15 relative error 7.641499791124336e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4037790502025567 Order of pole (three term test) 32.20510598748445 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4037790502025565 Order of pole (three term test) 32.79489401251555 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.4800000000000003 y1[1] (closed_form) 1.8869949227792842 y1[1] (numeric) 1.8869949227792835 absolute error 6.661338147750939e-16 relative error 3.530130403286779e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.461779175541483 y2[1] (numeric) 1.4617791755414824 absolute error 6.661338147750939e-16 relative error 4.5570071452710337e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (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) 32.213240006963765 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (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) 32.786759993036235 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.4900000000000003 y1[1] (closed_form) 1.8823328586101213 y1[1] (numeric) 1.8823328586101207 absolute error 6.661338147750939e-16 relative error 3.538873646752118e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.4706258881711582 y2[1] (numeric) 1.4706258881711576 absolute error 6.661338147750939e-16 relative error 4.529593964944307e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.41524868524598496 Order of pole (three term test) 32.22148872661689 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4152486852459849 Order of pole (three term test) 32.7785112733831 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.5000000000000003 y1[1] (closed_form) 1.8775825618903725 y1[1] (numeric) 1.8775825618903719 absolute error 6.661338147750939e-16 relative error 3.547827021275818e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.4794255386042032 y2[1] (numeric) 1.479425538604202 absolute error 1.3322676295501878e-15 relative error 9.005303712731262e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.42073549240394803 Order of pole (three term test) 32.229848847065924 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4207354924039479 Order of pole (three term test) 32.77015115293407 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.5100000000000003 y1[1] (closed_form) 1.8727445076457512 y1[1] (numeric) 1.8727445076457503 absolute error 8.881784197001252e-16 relative error 4.74265665217016e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.4881772468829078 y2[1] (numeric) 1.4881772468829064 absolute error 1.3322676295501878e-15 relative error 8.95234510768604e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (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) 32.238317024374176 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.42605401097468126 Order of pole (three term test) 32.761682975625824 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.5200000000000004 y1[1] (closed_form) 1.8678191796776498 y1[1] (numeric) 1.867819179677649 absolute error 6.661338147750939e-16 relative error 3.566372066540488e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.496880137843737 y2[1] (numeric) 1.4968801378437357 absolute error 1.3322676295501878e-15 relative error 8.900295994770334e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4312021136216689 Order of pole (three term test) 32.24688987138361 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.431202113621669 Order of pole (three term test) 32.753110128616385 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.5300000000000004 y1[1] (closed_form) 1.8628070705147608 y1[1] (numeric) 1.8628070705147597 absolute error 1.1102230246251565e-15 relative error 5.959946374470019e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.5055333412048473 y2[1] (numeric) 1.505533341204846 absolute error 1.3322676295501878e-15 relative error 8.849140653929334e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4361777411724931 Order of pole (three term test) 32.25556395906974 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.43617774117249297 Order of pole (three term test) 32.744436040930275 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.5400000000000004 y1[1] (closed_form) 1.857708681363824 y1[1] (numeric) 1.857708681363823 absolute error 8.881784197001252e-16 relative error 4.781042520876175e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.5141359916531134 y2[1] (numeric) 1.514135991653112 absolute error 1.3322676295501878e-15 relative error 8.798863753946143e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.44097890344247376 Order of pole (three term test) 32.264335817913135 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4409789034424738 Order of pole (three term test) 32.73566418208688 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.5500000000000004 y1[1] (closed_form) 1.8525245220595057 y1[1] (numeric) 1.8525245220595048 absolute error 8.881784197001252e-16 relative error 4.794421931390745e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.5226872289306594 y2[1] (numeric) 1.5226872289306579 absolute error 1.5543122344752192e-15 relative error 1.020769206534141e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (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) 32.27320193928721 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4456036800307175 Order of pole (three term test) 32.72679806071278 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.5600000000000004 y1[1] (closed_form) 1.8472551110134159 y1[1] (numeric) 1.8472551110134154 absolute error 4.440892098500626e-16 relative error 2.40404916030484e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.5311861979208836 y2[1] (numeric) 1.531186197920882 absolute error 1.5543122344752192e-15 relative error 1.0151033470558558e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.450050221088252 Order of pole (three term test) 32.28215877686165 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.450050221088252 Order of pole (three term test) 32.71784122313836 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.5700000000000004 y1[1] (closed_form) 1.8419009751622686 y1[1] (numeric) 1.841900975162268 absolute error 6.661338147750939e-16 relative error 3.616556067659438e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.5396320487339694 y2[1] (numeric) 1.5396320487339679 absolute error 1.5543122344752192e-15 relative error 1.009534866303492e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (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) 32.29120274802082 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.45431674805794153 Order of pole (three term test) 32.708797251979185 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.5800000000000004 y1[1] (closed_form) 1.8364626499151866 y1[1] (numeric) 1.8364626499151862 absolute error 4.440892098500626e-16 relative error 2.418177194458989e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.548023936791874 y2[1] (numeric) 1.548023936791872 absolute error 1.9984014443252818e-15 relative error 1.2909370435619816e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4584015543858832 Order of pole (three term test) 32.30033023529686 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.45840155438588315 Order of pole (three term test) 32.69966976470314 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.5900000000000004 y1[1] (closed_form) 1.8309406791001632 y1[1] (numeric) 1.8309406791001626 absolute error 6.661338147750939e-16 relative error 3.638205335535355e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.556361022912784 y2[1] (numeric) 1.5563610229127822 absolute error 1.7763568394002505e-15 relative error 1.141352689542261e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (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) 32.30953758781656 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.46230300620401 Order of pole (three term test) 32.69046241218344 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6000000000000004 y1[1] (closed_form) 1.8253356149096782 y1[1] (numeric) 1.8253356149096773 absolute error 8.881784197001252e-16 relative error 4.865836246470622e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.5646424733950357 y2[1] (numeric) 1.5646424733950337 absolute error 1.9984014443252818e-15 relative error 1.277225614353326e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4660195429836131 Order of pole (three term test) 32.31882112276166 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.46601954298361303 Order of pole (three term test) 32.68117887723834 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6100000000000004 y1[1] (closed_form) 1.8196480178454792 y1[1] (numeric) 1.8196480178454786 absolute error 6.661338147750939e-16 relative error 3.6607838892041185e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.5728674601004817 y2[1] (numeric) 1.5728674601004797 absolute error 1.9984014443252818e-15 relative error 1.270546625840689e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4695496781595335 Order of pole (three term test) 32.32817712684198 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.46954967815953347 Order of pole (three term test) 32.67182287315802 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6200000000000004 y1[1] (closed_form) 1.8138784566625337 y1[1] (numeric) 1.813878456662533 absolute error 6.661338147750939e-16 relative error 3.6724280633486015e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.5810351605373054 y2[1] (numeric) 1.5810351605373036 absolute error 1.7763568394002505e-15 relative error 1.1235403764180463e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47289199972476925 Order of pole (three term test) 32.33760185778061 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4728919997247693 Order of pole (three term test) 32.66239814221939 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6300000000000004 y1[1] (closed_form) 1.8080275083121515 y1[1] (numeric) 1.808027508312151 absolute error 4.440892098500626e-16 relative error 2.4562082590470837e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.58914475794227 y2[1] (numeric) 1.5891447579422677 absolute error 2.220446049250313e-15 relative error 1.3972585179247573e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47604517079525754 Order of pole (three term test) 32.347091545810855 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.47604517079525743 Order of pole (three term test) 32.652908454189145 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6400000000000005 y1[1] (closed_form) 1.8020957578842922 y1[1] (numeric) 1.802095757884292 absolute error 2.220446049250313e-16 relative error 1.2321465380159237e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.5971954413623926 y2[1] (numeric) 1.5971954413623908 absolute error 1.7763568394002505e-15 relative error 1.112172495236422e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47900793014461235 Order of pole (three term test) 32.35664239518402 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.47900793014461235 Order of pole (three term test) 32.643357604815975 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6500000000000005 y1[1] (closed_form) 1.7960837985490556 y1[1] (numeric) 1.7960837985490554 absolute error 2.220446049250313e-16 relative error 1.2362708527542386e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.6051864057360399 y2[1] (numeric) 1.6051864057360385 absolute error 1.3322676295501878e-15 relative error 8.299768953869826e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48177909270859637 Order of pole (three term test) 32.36625058568771 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4817790927085964 Order of pole (three term test) 32.6337494143123 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6600000000000005 y1[1] (closed_form) 1.7899922314973646 y1[1] (numeric) 1.7899922314973646 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.6131168519734342 y2[1] (numeric) 1.613116851973433 absolute error 1.3322676295501878e-15 relative error 8.258965417913373e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (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) 32.375912274173814 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (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) 32.624087725826186 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6700000000000005 y1[1] (closed_form) 1.783821665880849 y1[1] (numeric) 1.7838216658808488 absolute error 2.220446049250313e-16 relative error 1.2447690773807591e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.6209859870365602 y2[1] (numeric) 1.620985987036559 absolute error 1.1102230246251565e-15 relative error 6.849059976482797e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4867422708476597 Order of pole (three term test) 32.385623596095776 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.48674227084765964 Order of pole (three term test) 32.61437640390424 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6800000000000005 y1[1] (closed_form) 1.7775727187509276 y1[1] (numeric) 1.7775727187509278 absolute error 2.220446049250313e-16 relative error 1.2491449862093888e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.628793024018469 y2[1] (numeric) 1.628793024018468 absolute error 8.881784197001252e-16 relative error 5.452985165106246e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4889323012176581 Order of pole (three term test) 32.39538066705429 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4889323012176579 Order of pole (three term test) 32.6046193329457 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6900000000000005 y1[1] (closed_form) 1.7712460149971063 y1[1] (numeric) 1.7712460149971068 absolute error 4.440892098500626e-16 relative error 2.5072136004257326e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.6365371822219683 y2[1] (numeric) 1.6365371822219679 absolute error 4.440892098500626e-16 relative error 2.713590712599095e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4909267651861797 Order of pole (three term test) 32.40517958435108 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49092676518617984 Order of pole (three term test) 32.59482041564892 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7000000000000005 y1[1] (closed_form) 1.7648421872844882 y1[1] (numeric) 1.7648421872844886 absolute error 4.440892098500626e-16 relative error 2.516311163965147e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.6442176872376915 y2[1] (numeric) 1.644217687237691 absolute error 4.440892098500626e-16 relative error 2.7009149293129102e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (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) 32.415016428549876 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49272486499423 Order of pole (three term test) 32.58498357145012 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7100000000000005 y1[1] (closed_form) 1.758361875990508 y1[1] (numeric) 1.7583618759905084 absolute error 4.440892098500626e-16 relative error 2.525584840719442e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.6518337710215372 y2[1] (numeric) 1.6518337710215365 absolute error 6.661338147750939e-16 relative error 4.032692795493213e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4943258814258598 Order of pole (three term test) 32.42488726504416 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4943258814258599 Order of pole (three term test) 32.575112734955844 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7200000000000005 y1[1] (closed_form) 1.7518057291408946 y1[1] (numeric) 1.7518057291408953 absolute error 6.661338147750939e-16 relative error 3.8025552930562313e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.6593846719714735 y2[1] (numeric) 1.659384671971473 absolute error 4.440892098500626e-16 relative error 2.6762282269514477e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (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) 32.43478814563093 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (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) 32.565211854369075 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7300000000000005 y1[1] (closed_form) 1.7451744023448699 y1[1] (numeric) 1.7451744023448705 absolute error 6.661338147750939e-16 relative error 3.817004271206683e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.6668696350036982 y2[1] (numeric) 1.6668696350036978 absolute error 4.440892098500626e-16 relative error 2.664210808837953e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49693418170582243 Order of pole (three term test) 32.44471511008996 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (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) 32.555284889910034 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7400000000000005 y1[1] (closed_form) 1.7384685587295876 y1[1] (numeric) 1.7384685587295876 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.6742879116281455 y2[1] (numeric) 1.674287911628145 absolute error 4.440892098500626e-16 relative error 2.6524064754084752e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (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) 32.45466418776785 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4979404222688201 Order of pole (three term test) 32.54533581223216 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7500000000000006 y1[1] (closed_form) 1.7316888688738206 y1[1] (numeric) 1.7316888688738206 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.6816387600233345 y2[1] (numeric) 1.6816387600233345 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (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) 32.464631399166144 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4987474933020272 Order of pole (three term test) 32.53536860083385 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7600000000000006 y1[1] (closed_form) 1.7248360107409049 y1[1] (numeric) 1.7248360107409049 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.6889214451105516 y2[1] (numeric) 1.6889214451105516 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4993550719877915 Order of pole (three term test) 32.474612757533215 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49935507198779144 Order of pole (three term test) 32.525387242466785 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7700000000000006 y1[1] (closed_form) 1.717910669610943 y1[1] (numeric) 1.7179106696109432 absolute error 2.220446049250313e-16 relative error 1.2925270728734573e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.6961352386273572 y2[1] (numeric) 1.696135238627357 absolute error 2.220446049250313e-16 relative error 1.3091208759080252e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (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) 32.48460427045877 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (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) 32.51539572954123 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7800000000000006 y1[1] (closed_form) 1.710913538012277 y1[1] (numeric) 1.710913538012277 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.7032794192004106 y2[1] (numeric) 1.7032794192004101 absolute error 4.440892098500626e-16 relative error 2.6072598825772012e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (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) 32.49460194147087 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4999708601149832 Order of pole (three term test) 32.50539805852914 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7900000000000006 y1[1] (closed_form) 1.7038453156522357 y1[1] (numeric) 1.703845315652236 absolute error 2.220446049250313e-16 relative error 1.3031969679714272e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.7103532724176083 y2[1] (numeric) 1.710353272417608 absolute error 2.220446049250313e-16 relative error 1.298238255838036e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (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) 32.50460177163441 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49997882324937004 Order of pole (three term test) 32.4953982283656 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8000000000000006 y1[1] (closed_form) 1.6967067093471648 y1[1] (numeric) 1.696706709347165 absolute error 2.220446049250313e-16 relative error 1.3086799486427831e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.7173560908995231 y2[1] (numeric) 1.717356090899523 absolute error 2.220446049250313e-16 relative error 1.2929444633042176e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49978680152075255 Order of pole (three term test) 32.51459976115065 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (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) 32.48540023884936 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8100000000000006 y1[1] (closed_form) 1.6894984329517466 y1[1] (numeric) 1.6894984329517468 absolute error 2.220446049250313e-16 relative error 1.3142634559127353e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.724287174370143 y2[1] (numeric) 1.724287174370143 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4993948717352621 Order of pole (three term test) 32.524591910957085 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4993948717352619 Order of pole (three term test) 32.475408089042915 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8200000000000006 y1[1] (closed_form) 1.682221207287613 y1[1] (numeric) 1.6822212072876137 absolute error 6.661338147750939e-16 relative error 3.959846730556664e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.7311458297268962 y2[1] (numeric) 1.7311458297268962 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49880319065958695 Order of pole (three term test) 32.53457422432703 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49880319065958684 Order of pole (three term test) 32.46542577567296 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8300000000000006 y1[1] (closed_form) 1.6748757600712665 y1[1] (numeric) 1.6748757600712676 absolute error 1.1102230246251565e-15 relative error 6.62868883228638e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.737931371109963 y2[1] (numeric) 1.737931371109963 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (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) 32.54454270846823 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (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) 32.45545729153177 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8400000000000006 y1[1] (closed_form) 1.6674628258413078 y1[1] (numeric) 1.6674628258413087 absolute error 8.881784197001252e-16 relative error 5.326526060645463e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.7446431199708599 y2[1] (numeric) 1.7446431199708594 absolute error 4.440892098500626e-16 relative error 2.5454444222236127e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (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) 32.554493376119936 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49702160109903804 Order of pole (three term test) 32.445506623880064 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8500000000000006 y1[1] (closed_form) 1.6599831458849816 y1[1] (numeric) 1.6599831458849832 absolute error 1.5543122344752192e-15 relative error 9.363421781289071e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.7512804051402933 y2[1] (numeric) 1.7512804051402928 absolute error 4.440892098500626e-16 relative error 2.5357972860690295e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (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) 32.56442224714776 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4958324052262344 Order of pole (three term test) 32.43557775285224 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8600000000000007 y1[1] (closed_form) 1.6524374681640515 y1[1] (numeric) 1.652437468164053 absolute error 1.5543122344752192e-15 relative error 9.406178838356559e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.7578425628952774 y2[1] (numeric) 1.7578425628952772 absolute error 2.220446049250313e-16 relative error 1.2631654825749006e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49444488300235095 Order of pole (three term test) 32.57432535013568 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4944448830023509 Order of pole (three term test) 32.42567464986432 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8700000000000007 y1[1] (closed_form) 1.6448265472400005 y1[1] (numeric) 1.6448265472400023 absolute error 1.7763568394002505e-15 relative error 1.0799660562269962e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.7643289370255055 y2[1] (numeric) 1.764328937025505 absolute error 4.440892098500626e-16 relative error 2.517043168825172e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49285958941777697 Order of pole (three term test) 32.58419872397454 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49285958941777686 Order of pole (three term test) 32.41580127602546 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8800000000000007 y1[1] (closed_form) 1.6371511441985795 y1[1] (numeric) 1.6371511441985818 absolute error 2.220446049250313e-15 relative error 1.356286532931734e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.7707388788989697 y2[1] (numeric) 1.7707388788989693 absolute error 4.440892098500626e-16 relative error 2.507931661421437e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4910771585688095 Order of pole (three term test) 32.59403841944644 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49107715856880957 Order of pole (three term test) 32.405961580553566 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8900000000000007 y1[1] (closed_form) 1.6294120265736964 y1[1] (numeric) 1.6294120265736987 absolute error 2.220446049250313e-15 relative error 1.362728403275281e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.7770717475268243 y2[1] (numeric) 1.7770717475268238 absolute error 4.440892098500626e-16 relative error 2.4989942610258016e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4890983034040227 Order of pole (three term test) 32.603840500804395 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4890983034040227 Order of pole (three term test) 32.396159499195605 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9000000000000007 y1[1] (closed_form) 1.621609968270664 y1[1] (numeric) 1.6216099682706662 absolute error 2.220446049250313e-15 relative error 1.369284903704845e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.7833269096274837 y2[1] (numeric) 1.7833269096274833 absolute error 4.440892098500626e-16 relative error 2.4902288383167372e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4869238154390979 Order of pole (three term test) 32.61360104734654 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.48692381543909763 Order of pole (three term test) 32.38639895265345 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9100000000000007 y1[1] (closed_form) 1.613745749488811 y1[1] (numeric) 1.6137457494888132 absolute error 2.220446049250313e-15 relative error 1.3759577987757287e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.789503739689951 y2[1] (numeric) 1.7895037396899502 absolute error 6.661338147750939e-16 relative error 3.7224499731445553e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48455456444022854 Order of pole (three term test) 32.623316154984416 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4845545644402286 Order of pole (three term test) 32.376683845015584 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9200000000000007 y1[1] (closed_form) 1.6058201566434622 y1[1] (numeric) 1.605820156643465 absolute error 2.6645352591003757e-15 relative error 1.6592986755564672e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.7956016200363665 y2[1] (numeric) 1.795601620036366 absolute error 4.440892098500626e-16 relative error 2.473205664857155e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4819914980762245 Order of pole (three term test) 32.63298193780449 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.48199149807622443 Order of pole (three term test) 32.36701806219551 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9300000000000007 y1[1] (closed_form) 1.5978339822872978 y1[1] (numeric) 1.5978339822873 absolute error 2.220446049250313e-15 relative error 1.3896600484561898e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.8016199408837776 y2[1] (numeric) 1.801619940883777 absolute error 6.661338147750939e-16 relative error 3.697415862572683e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4792356415394575 Order of pole (three term test) 32.642594529622514 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.47923564153945764 Order of pole (three term test) 32.35740547037749 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9400000000000007 y1[1] (closed_form) 1.5897880250310976 y1[1] (numeric) 1.5897880250311003 absolute error 2.6645352591003757e-15 relative error 1.6760317835758356e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.8075581004051147 y2[1] (numeric) 1.8075581004051138 absolute error 8.881784197001252e-16 relative error 4.9136922320840716e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4762880971357982 Order of pole (three term test) 32.65215008552992 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4762880971357982 Order of pole (three term test) 32.34784991447008 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9500000000000007 y1[1] (closed_form) 1.581683089463883 y1[1] (numeric) 1.5816830894638854 absolute error 2.4424906541753444e-15 relative error 1.544235169766679e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.8134155047893743 y2[1] (numeric) 1.813415504789373 absolute error 1.3322676295501878e-15 relative error 7.346731215386454e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4731500438437079 Order of pole (three term test) 32.661644783431754 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4731500438437079 Order of pole (three term test) 32.338355216568246 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9600000000000007 y1[1] (closed_form) 1.573519986072456 y1[1] (numeric) 1.5735199860724582 absolute error 2.220446049250313e-15 relative error 1.4111330449590286e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.8191915683009987 y2[1] (numeric) 1.8191915683009974 absolute error 1.3322676295501878e-15 relative error 7.323404817637954e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46982273684266324 Order of pole (three term test) 32.67107482557545 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.46982273684266307 Order of pole (three term test) 32.32892517442455 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9700000000000008 y1[1] (closed_form) 1.5652995311603537 y1[1] (numeric) 1.5652995311603564 absolute error 2.6645352591003757e-15 relative error 1.702252639867055e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.8248857133384506 y2[1] (numeric) 1.8248857133384495 absolute error 1.1102230246251565e-15 relative error 6.083794818000474e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46630750701110113 Order of pole (three term test) 32.68043644006988 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.46630750701110113 Order of pole (three term test) 32.31956355993012 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9800000000000008 y1[1] (closed_form) 1.5570225467662167 y1[1] (numeric) 1.5570225467662193 absolute error 2.6645352591003757e-15 relative error 1.7113016536814797e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.830497370491971 y2[1] (numeric) 1.8304973704919703 absolute error 6.661338147750939e-16 relative error 3.6390864336290273e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4626057603940847 Order of pole (three term test) 32.68972588239407 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.46260576039408474 Order of pole (three term test) 32.31027411760592 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9900000000000008 y1[1] (closed_form) 1.5486898605815869 y1[1] (numeric) 1.5486898605815898 absolute error 2.886579864025407e-15 relative error 1.863885040831478e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.8360259786005209 y2[1] (numeric) 1.8360259786005204 absolute error 4.440892098500626e-16 relative error 2.41875232173219e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4587189776409055 Order of pole (three term test) 32.698939436894946 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4587189776409057 Order of pole (three term test) 32.30106056310505 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.0000000000000007 y1[1] (closed_form) 1.5403023058681393 y1[1] (numeric) 1.5403023058681418 absolute error 2.4424906541753444e-15 relative error 1.5857216111863944e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.8414709848078967 y2[1] (numeric) 1.8414709848078965 absolute error 2.220446049250313e-16 relative error 1.2058001823373563e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4546487134128416 Order of pole (three term test) 32.70807341827357 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4546487134128416 Order of pole (three term test) 32.29192658172643 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.0099999999999996 y1[1] (closed_form) 1.5318607213743558 y1[1] (numeric) 1.5318607213743574 absolute error 1.5543122344752192e-15 relative error 1.0146563671145771e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.846831844618015 y2[1] (numeric) 1.8468318446180154 absolute error 4.440892098500626e-16 relative error 2.404600132622874e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4503965957613144 Order of pole (three term test) 32.717124173059155 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4503965957613143 Order of pole (three term test) 32.282875826940845 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.0199999999999985 y1[1] (closed_form) 1.5233659512516509 y1[1] (numeric) 1.5233659512516518 absolute error 8.881784197001252e-16 relative error 5.830368067307575e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.8521080219493622 y2[1] (numeric) 1.852108021949363 absolute error 8.881784197001252e-16 relative error 4.795500095967991e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.44596432547669074 Order of pole (three term test) 32.72608808107045 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4459643254766908 Order of pole (three term test) 32.27391191892955 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.0299999999999974 y1[1] (closed_form) 1.5148188449699576 y1[1] (numeric) 1.5148188449699576 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.857298989188602 y2[1] (numeric) 1.8572989891886036 absolute error 1.5543122344752192e-15 relative error 8.368670006945146e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4413536754079879 Order of pole (three term test) 32.7349615568638 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.441353675407988 Order of pole (three term test) 32.265038443136206 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.0399999999999963 y1[1] (closed_form) 1.5062202572327816 y1[1] (numeric) 1.5062202572327807 absolute error 8.881784197001252e-16 relative error 5.896736652127365e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.8624042272433365 y2[1] (numeric) 1.8624042272433385 absolute error 1.9984014443252818e-15 relative error 1.0730223949734282e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4365664897537593 Order of pole (three term test) 32.743741051167184 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4365664897537591 Order of pole (three term test) 32.25625894883282 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.0499999999999952 y1[1] (closed_form) 1.4975710478917312 y1[1] (numeric) 1.4975710478917295 absolute error 1.7763568394002505e-15 relative error 1.1861586412884996e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.8674232255940146 y2[1] (numeric) 1.867423225594017 absolute error 2.4424906541753444e-15 relative error 1.3079470259873227e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4316046833244378 Order of pole (three term test) 32.75242305229992 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.43160468332443785 Order of pole (three term test) 32.247576947700075 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.059999999999994 y1[1] (closed_form) 1.4888720818605328 y1[1] (numeric) 1.48887208186053 absolute error 2.6645352591003757e-15 relative error 1.7896334356479463e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.8723554823449833 y2[1] (numeric) 1.8723554823449864 absolute error 3.1086244689504383e-15 relative error 1.6602747172012026e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.42647024077643936 Order of pole (three term test) 32.76100408757735 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4264702407764394 Order of pole (three term test) 32.23899591242265 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.069999999999993 y1[1] (closed_form) 1.4801242290285404 y1[1] (numeric) 1.4801242290285368 absolute error 3.552713678800501e-15 relative error 2.4002807393621795e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.8772005042746782 y2[1] (numeric) 1.877200504274682 absolute error 3.774758283725532e-15 relative error 2.0108444863134327e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4211652158183243 Order of pole (three term test) 32.76948072469976 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.42116521581832433 Order of pole (three term test) 32.230519275300246 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.0799999999999919 y1[1] (closed_form) 1.4713283641737471 y1[1] (numeric) 1.4713283641737427 absolute error 4.440892098500626e-15 relative error 3.0182875601630196e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.8819578068849436 y2[1] (numeric) 1.8819578068849476 absolute error 3.9968028886505635e-15 relative error 2.1237473412149213e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4156917303893428 Order of pole (three term test) 32.77784957312531 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.41569173038934293 Order of pole (three term test) 32.22215042687469 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.0899999999999908 y1[1] (closed_form) 1.462485366875309 y1[1] (numeric) 1.4624853668753035 absolute error 5.551115123125783e-15 relative error 3.7956722500315234e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.886626914449483 y2[1] (numeric) 1.8866269144494874 absolute error 4.440892098500626e-15 relative error 2.353879330612898e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.41005197381068853 Order of pole (three term test) 32.78610728542622 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.41005197381068864 Order of pole (three term test) 32.21389271457378 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.0999999999999897 y1[1] (closed_form) 1.4535961214255866 y1[1] (numeric) 1.45359612142558 absolute error 6.661338147750939e-15 relative error 4.582660925937227e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.8912073600614305 y2[1] (numeric) 1.8912073600614354 absolute error 4.884981308350689e-15 relative error 2.5829961386106355e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4042482019097963 Order of pole (three term test) 32.794250558627674 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4042482019097964 Order of pole (three term test) 32.20574944137233 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.1099999999999886 y1[1] (closed_form) 1.4446615167417172 y1[1] (numeric) 1.4446615167417096 absolute error 7.549516567451064e-15 relative error 5.225803054876279e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.8956986856800424 y2[1] (numeric) 1.8956986856800482 absolute error 5.773159728050814e-15 relative error 3.045399446473643e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.39828273611804466 Order of pole (three term test) 32.80227613552896 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3982827361180447 Order of pole (three term test) 32.19772386447104 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.1199999999999875 y1[1] (closed_form) 1.4356824462767235 y1[1] (numeric) 1.435682446276715 absolute error 8.43769498715119e-15 relative error 5.8771318191104e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.9001004421764995 y2[1] (numeric) 1.9001004421765058 absolute error 6.217248937900877e-15 relative error 3.272063307758211e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3921579625422116 Order of pole (three term test) 32.81018080600634 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3921579625422115 Order of pole (three term test) 32.18981919399366 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.1299999999999863 y1[1] (closed_form) 1.4266598079301698 y1[1] (numeric) 1.4266598079301602 absolute error 9.547918011776346e-15 relative error 6.692498070460596e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.90441218937882 y2[1] (numeric) 1.9044121893788264 absolute error 6.439293542825908e-15 relative error 3.3812499094149744e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.38587633101006436 Order of pole (three term test) 32.817961408296995 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3858763310100644 Order of pole (three term test) 32.182038591703005 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.1399999999999852 y1[1] (closed_form) 1.4175945039583715 y1[1] (numeric) 1.417594503958361 absolute error 1.0436096431476471e-14 relative error 7.361834715312168e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.908633496115877 y2[1] (numeric) 1.908633496115884 absolute error 6.8833827526759706e-15 relative error 3.6064455363923186e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3794403540904626 Order of pole (three term test) 32.82561483026377 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3794403540904628 Order of pole (three term test) 32.174385169736226 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.1499999999999841 y1[1] (closed_form) 1.4084874408841719 y1[1] (numeric) 1.4084874408841603 absolute error 1.1546319456101628e-14 relative error 8.197672993699877e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.9127639402605146 y2[1] (numeric) 1.9127639402605217 absolute error 7.105427357601002e-15 relative error 3.7147434704531587e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.37285260608836174 Order of pole (three term test) 32.833138010639914 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3728526060883617 Order of pole (three term test) 32.166861989360086 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.159999999999983 y1[1] (closed_form) 1.3993395294062887 y1[1] (numeric) 1.3993395294062763 absolute error 1.2434497875801753e-14 relative error 8.885976287025535e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.9168031087717603 y2[1] (numeric) 1.9168031087717674 absolute error 7.105427357601002e-15 relative error 3.7069156060342485e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3661157220151276 Order of pole (three term test) 32.84052794025357 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.36611572201512754 Order of pole (three term test) 32.15947205974643 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.169999999999982 y1[1] (closed_form) 1.3901516843082469 y1[1] (numeric) 1.3901516843082335 absolute error 1.3322676295501878e-14 relative error 9.583613389736943e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.9207505977361286 y2[1] (numeric) 1.9207505977361359 absolute error 7.327471962526033e-15 relative error 3.8149002640751363e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.359232396534565 Order of pole (three term test) 32.847781663231444 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.359232396534565 Order of pole (three term test) 32.15221833676855 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.1799999999999808 y1[1] (closed_form) 1.3809248243668995 y1[1] (numeric) 1.3809248243668852 absolute error 1.4210854715202004e-14 relative error 1.0290824282717294e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.924606012408013 y2[1] (numeric) 1.9246060124080209 absolute error 7.771561172376096e-15 relative error 4.0380010881564983e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.35220538288509 Order of pole (three term test) 32.85489627818106 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.35220538288509 Order of pole (three term test) 32.14510372181894 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.1899999999999797 y1[1] (closed_form) 1.3716598722605517 y1[1] (numeric) 1.3716598722605362 absolute error 1.554312234475219e-14 relative error 1.1331615555054832e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9283689672491593 y2[1] (numeric) 1.928368967249167 absolute error 7.771561172376096e-15 relative error 4.0301214676060244e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3450374917784703 Order of pole (three term test) 32.861868939351275 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3450374917784703 Order of pole (three term test) 32.13813106064872 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.1999999999999786 y1[1] (closed_form) 1.3623577544766934 y1[1] (numeric) 1.3623577544766772 absolute error 1.6209256159527285e-14 relative error 1.1897943918375213e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9320390859672187 y2[1] (numeric) 1.932039085967227 absolute error 8.215650382226158e-15 relative error 4.2523210021464105e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3377315902755776 Order of pole (three term test) 32.86869685777062 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3377315902755776 Order of pole (three term test) 32.131303142229385 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.2099999999999775 y1[1] (closed_form) 1.3530194012193513 y1[1] (numeric) 1.353019401219334 absolute error 1.7319479184152442e-14 relative error 1.2800614069941642e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9356160015533779 y2[1] (numeric) 1.9356160015533863 absolute error 8.43769498715119e-15 relative error 4.3591781533009333e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.33029060063960264 Order of pole (three term test) 32.87537730236274 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.33029060063960264 Order of pole (three term test) 32.12462269763726 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.2199999999999764 y1[1] (closed_form) 1.3436457463160691 y1[1] (numeric) 1.3436457463160505 absolute error 1.865174681370263e-14 relative error 1.3881446701886208e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9390993563190595 y2[1] (numeric) 1.939099356319068 absolute error 8.43769498715119e-15 relative error 4.351347423047079e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3227174991671877 Order of pole (three term test) 32.88190760103888 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3227174991671878 Order of pole (three term test) 32.11809239896111 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.2299999999999753 y1[1] (closed_form) 1.3342377271245258 y1[1] (numeric) 1.3342377271245058 absolute error 1.9984014443252818e-14 relative error 1.49778514255636e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9424888019316893 y2[1] (numeric) 1.9424888019316982 absolute error 8.881784197001252e-15 relative error 4.572373435650619e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3150153149979484 Order of pole (three term test) 32.888285141766644 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.31501531499794844 Order of pole (three term test) 32.111714858233356 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.2399999999999742 y1[1] (closed_form) 1.3247962844388006 y1[1] (numeric) 1.3247962844387795 absolute error 2.1094237467877974e-14 relative error 1.5922627286665242e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9457839994495307 y2[1] (numeric) 1.94578399944954 absolute error 9.325873406851315e-15 relative error 4.792861596913963e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.307187128902858 Order of pole (three term test) 32.894507373614765 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.30718712890285804 Order of pole (three term test) 32.105492626385235 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.2499999999999731 y1[1] (closed_form) 1.315322362395294 y1[1] (numeric) 1.315322362395272 absolute error 2.220446049250313e-14 relative error 1.6881382942556571e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9489846193555778 y2[1] (numeric) 1.9489846193555873 absolute error 9.547918011776346e-15 relative error 4.898919117654874e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2992360720519805 Order of pole (three term test) 32.90057180777347 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.29923607205198055 Order of pole (three term test) 32.09942819222654 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.259999999999972 y1[1] (closed_form) 1.305816908378316 y1[1] (numeric) 1.3058169083782927 absolute error 2.3314683517128287e-14 relative error 1.7854481258082814e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.952090341590507 y2[1] (numeric) 1.952090341590517 absolute error 9.992007221626409e-15 relative error 5.118619260973961e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.29116532476204293 Order of pole (three term test) 32.906476018549945 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.29116532476204304 Order of pole (three term test) 32.093523981450055 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.269999999999971 y1[1] (closed_form) 1.2962808729253466 y1[1] (numeric) 1.2962808729253221 absolute error 2.4424906541753444e-14 relative error 1.884229494695328e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9551008555846836 y2[1] (numeric) 1.9551008555846936 absolute error 9.992007221626409e-15 relative error 5.110737480925629e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2829781152243537 Order of pole (three term test) 32.91221764433861 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.28297811522435373 Order of pole (three term test) 32.08778235566139 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.2799999999999698 y1[1] (closed_form) 1.2867152096319845 y1[1] (numeric) 1.2867152096319592 absolute error 2.531308496145357e-14 relative error 1.9672639891070695e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9580158602892164 y2[1] (numeric) 1.9580158602892264 absolute error 9.992007221626409e-15 relative error 5.103128848073019e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.27467771821356574 Order of pole (three term test) 32.9177943885657 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.27467771821356574 Order of pole (three term test) 32.0822056114343 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.2899999999999687 y1[1] (closed_form) 1.2771208750565877 y1[1] (numeric) 1.2771208750565615 absolute error 2.6201263381153694e-14 relative error 2.051588372948077e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.960835064206064 y2[1] (numeric) 1.9608350642060741 absolute error 1.021405182655144e-14 relative error 5.209031607503958e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.26626745377781347 Order of pole (three term test) 32.92320402060789 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2662674537778134 Order of pole (three term test) 32.07679597939212 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.2999999999999676 y1[1] (closed_form) 1.2674988286246185 y1[1] (numeric) 1.2674988286245914 absolute error 2.708944180085382e-14 relative error 2.13723604228092e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9635581854171842 y2[1] (numeric) 1.9635581854171944 absolute error 1.021405182655144e-14 relative error 5.201807566696237e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2577506859107351 Order of pole (three term test) 32.92844437668447 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2577506859107351 Order of pole (three term test) 32.07155562331553 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.3099999999999665 y1[1] (closed_form) 1.257850032532702 y1[1] (numeric) 1.2578500325326738 absolute error 2.8199664825478976e-14 relative error 2.2418940331621632e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9661849516127254 y2[1] (numeric) 1.9661849516127357 absolute error 1.021405182655144e-14 relative error 5.194858102323263e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2491308212059224 Order of pole (three term test) 32.933513360722905 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2491308212059224 Order of pole (three term test) 32.0664866392771 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.3199999999999654 y1[1] (closed_form) 1.2481754516524064 y1[1] (numeric) 1.2481754516523769 absolute error 2.9531932455029164e-14 relative error 2.366008113357228e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9687151001182568 y2[1] (numeric) 1.968715100118267 absolute error 1.021405182655144e-14 relative error 5.1881817871656e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24041130749432685 Order of pole (three term test) 32.93840894519714 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.24041130749432685 Order of pole (three term test) 32.061591054802854 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.3299999999999643 y1[1] (closed_form) 1.2384760534337578 y1[1] (numeric) 1.238476053433727 absolute error 3.086420008457935e-14 relative error 2.492111171548799e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9711483779210361 y2[1] (numeric) 1.9711483779210461 absolute error 9.992007221626409e-15 relative error 5.069129921190888e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23159563246517534 Order of pole (three term test) 32.94312917193867 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2315956324651753 Order of pole (three term test) 32.05687082806133 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.3399999999999632 y1[1] (closed_form) 1.2287528078084953 y1[1] (numeric) 1.2287528078084629 absolute error 3.241851231905457e-14 relative error 2.6383266115886746e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9734845416953108 y2[1] (numeric) 1.9734845416953213 absolute error 1.0436096431476471e-14 relative error 5.288157171229424e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2226873222709382 Order of pole (three term test) 32.94767215291974 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.22268732227093824 Order of pole (three term test) 32.05232784708026 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.3499999999999621 y1[1] (closed_form) 1.2190066870930785 y1[1] (numeric) 1.219006687093045 absolute error 3.352873534367973e-14 relative error 2.7504964245630596e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9757233578266509 y2[1] (numeric) 1.975723357826661 absolute error 1.021405182655144e-14 relative error 5.169778342746919e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2136899401169176 Order of pole (three term test) 32.95203607100853 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.21368994011691758 Order of pole (three term test) 32.04796392899147 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.359999999999961 y1[1] (closed_form) 1.2092386658914576 y1[1] (numeric) 1.209238665891423 absolute error 3.4638958368304884e-14 relative error 2.8645261969661587e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9778646024353082 y2[1] (numeric) 1.9778646024353181 absolute error 9.992007221626409e-15 relative error 5.051916703157251e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20460708483601137 Order of pole (three term test) 32.95621918069598 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.20460708483601128 Order of pole (three term test) 32.043780819304025 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.36999999999996 y1[1] (closed_form) 1.1994497209976123 y1[1] (numeric) 1.1994497209975767 absolute error 3.552713678800501e-14 relative error 2.9619529827774858e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9799080613986062 y2[1] (numeric) 1.979908061398616 absolute error 9.769962616701378e-15 relative error 4.934553683164399e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19544238944922931 Order of pole (three term test) 32.96021980879399 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1954423894492293 Order of pole (three term test) 32.03978019120601 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.3799999999999588 y1[1] (closed_form) 1.1896408312978748 y1[1] (numeric) 1.1896408312978384 absolute error 3.6415315207705135e-14 relative error 3.061034410526809e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.981853530372352 y2[1] (numeric) 1.9818535303723614 absolute error 9.547918011776346e-15 relative error 4.81767086490114e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18619951971253107 Order of pole (three term test) 32.96403635510467 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.18619951971253107 Order of pole (three term test) 32.03596364489534 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.3899999999999577 y1[1] (closed_form) 1.179812977673041 y1[1] (numeric) 1.1798129776730035 absolute error 3.752553823233029e-14 relative error 3.1806344685530033e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.983700814811269 y2[1] (numeric) 1.983700814811278 absolute error 9.103828801926284e-15 relative error 4.58931545218548e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17688217265057485 Order of pole (three term test) 32.967667293060366 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.17688217265057485 Order of pole (three term test) 32.032332706939634 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.3999999999999566 y1[1] (closed_form) 1.1699671429002838 y1[1] (numeric) 1.169967142900245 absolute error 3.885780586188048e-14 relative error 3.3212732594826664e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9854497299884528 y2[1] (numeric) 1.9854497299884615 absolute error 8.659739592076221e-15 relative error 4.36160103239007e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16749407507795586 Order of pole (three term test) 32.971111170334325 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.16749407507795594 Order of pole (three term test) 32.02888882966567 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.4099999999999555 y1[1] (closed_form) 1.160104311554875 y1[1] (numeric) 1.1601043115548353 absolute error 3.9745984281580604e-14 relative error 3.42606987024378e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9871001010138434 y2[1] (numeric) 1.9871001010138516 absolute error 8.215650382226158e-15 relative error 4.1344924586508905e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15803898210853057 Order of pole (three term test) 32.97436660942155 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.15803898210853057 Order of pole (three term test) 32.02563339057844 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.4199999999999544 y1[1] (closed_form) 1.150225469911731 y1[1] (numeric) 1.1502254699116898 absolute error 4.107825191113079e-14 relative error 3.5713217091500473e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9886517628517129 y2[1] (numeric) 1.988651762851721 absolute error 8.215650382226158e-15 relative error 4.1312664870218266e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14852067565341984 Order of pole (three term test) 32.97743230818981 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.14852067565341986 Order of pole (three term test) 32.022567691810195 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.4299999999999533 y1[1] (closed_form) 1.140331605846783 y1[1] (numeric) 1.140331605846741 absolute error 4.196643033083092e-14 relative error 3.680195314736335e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9901045603371712 y2[1] (numeric) 1.990104560337179 absolute error 7.771561172376096e-15 relative error 3.905101936482879e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13894296290829722 Order of pole (three term test) 32.980307040400476 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.13894296290829725 Order of pole (three term test) 32.019692959599524 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.4399999999999522 y1[1] (closed_form) 1.130423708738193 y1[1] (numeric) 1.1304237087381497 absolute error 4.3298697960381105e-14 relative error 3.830306957088876e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.99145834819168 y2[1] (numeric) 1.9914583481916877 absolute error 7.549516567451064e-15 relative error 3.790948765916351e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.12930967483055916 Order of pole (three term test) 32.98298965619899 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.12930967483055916 Order of pole (three term test) 32.01701034380102 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.449999999999951 y1[1] (closed_form) 1.1205027693674152 y1[1] (numeric) 1.1205027693673708 absolute error 4.440892098500626e-14 relative error 3.963303099204076e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9927129910375827 y2[1] (numeric) 1.9927129910375898 absolute error 7.105427357601002e-15 relative error 3.565705342193452e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11962466460699495 Order of pole (three term test) 32.98547908257479 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.11962466460699503 Order of pole (three term test) 32.01452091742521 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.45999999999995 y1[1] (closed_form) 1.1105697798201193 y1[1] (numeric) 1.1105697798200738 absolute error 4.551914400963142e-14 relative error 4.098719849643687e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9938683634116394 y2[1] (numeric) 1.9938683634116465 absolute error 7.105427357601002e-15 relative error 3.5636391488970464e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10989180611256244 Order of pole (three term test) 32.987774323790546 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.10989180611256241 Order of pole (three term test) 32.01222567620946 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.469999999999949 y1[1] (closed_form) 1.1006257333869824 y1[1] (numeric) 1.100625733386936 absolute error 4.6407322429331543e-14 relative error 4.216448972760355e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9949243497775757 y2[1] (numeric) 1.9949243497775824 absolute error 6.661338147750939e-15 relative error 3.3391432354282735e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10011499236088937 Order of pole (three term test) 32.98987446178034 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.10011499236088937 Order of pole (three term test) 32.010125538219654 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.4799999999999478 y1[1] (closed_form) 1.0906716244643617 y1[1] (numeric) 1.0906716244643138 absolute error 4.796163466380676e-14 relative error 4.39744040167554e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9958808445376355 y2[1] (numeric) 1.9958808445376417 absolute error 6.217248937900877e-15 relative error 3.115040136246791e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0902981339471203 Order of pole (three term test) 32.991778656517006 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.09029813394712033 Order of pole (three term test) 32.008221343483 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.4899999999999467 y1[1] (closed_form) 1.0807084484548537 y1[1] (numeric) 1.0807084484548046 absolute error 4.907185768843192e-14 relative error 4.5407119522931986e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.996737752043139 y2[1] (numeric) 1.9967377520431449 absolute error 5.773159728050814e-15 relative error 2.891295926139271e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08044515748373168 Order of pole (three term test) 32.99348614634802 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.08044515748373166 Order of pole (three term test) 32.00651385365199 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.4999999999999456 y1[1] (closed_form) 1.0707372016677572 y1[1] (numeric) 1.0707372016677073 absolute error 4.9960036108132044e-14 relative error 4.6659475387905986e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9974949866040506 y2[1] (numeric) 1.9974949866040559 absolute error 5.329070518200751e-15 relative error 2.6678767926525443e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.07056000402993783 Order of pole (three term test) 32.994996248300225 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.07056000402993781 Order of pole (three term test) 32.005003751699775 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.5099999999999445 y1[1] (closed_form) 1.0607588812194413 y1[1] (numeric) 1.06075888121939 absolute error 5.129230373768223e-14 relative error 4.8354347671090856e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9981524724975448 y2[1] (numeric) 1.9981524724975495 absolute error 4.6629367034256575e-15 relative error 2.3336240690367973e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06064662751531885 Order of pole (three term test) 32.99630835835297 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.060646627515318866 Order of pole (three term test) 32.00369164164703 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.5199999999999434 y1[1] (closed_form) 1.0507744849336358 y1[1] (numeric) 1.050774484933583 absolute error 5.284661597215745e-14 relative error 5.029301408617198e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9987101439755801 y2[1] (numeric) 1.9987101439755846 absolute error 4.440892098500626e-15 relative error 2.2218790012579654e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0507089931583046 Order of pole (three term test) 32.99742195167973 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.0507089931583046 Order of pole (three term test) 32.00257804832027 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.5299999999999423 y1[1] (closed_form) 1.0407850112416488 y1[1] (numeric) 1.0407850112415948 absolute error 5.395683899678261e-14 relative error 5.184244432230293e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9991679452714737 y2[1] (numeric) 1.9991679452714775 absolute error 3.774758283725532e-15 relative error 1.888164670033735e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04075107588013829 Order of pole (three term test) 32.99833658285802 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.04075107588013829 Order of pole (three term test) 32.00166341714198 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.5399999999999412 y1[1] (closed_form) 1.030791459082525 y1[1] (numeric) 1.0307914590824698 absolute error 5.5067062021407764e-14 relative error 5.3422117088961165e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9995258306054773 y2[1] (numeric) 1.9995258306054806 absolute error 3.3306690738754696e-15 relative error 1.6657294559015066e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.030776858714960234 Order of pole (three term test) 32.999051886047575 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.030776858714960238 Order of pole (three term test) 32.00094811395243 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.54999999999994 y1[1] (closed_form) 1.0207948278031524 y1[1] (numeric) 1.0207948278030963 absolute error 5.617728504603292e-14 relative error 5.503288566511625e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9997837641893557 y2[1] (numeric) 1.9997837641893588 absolute error 3.1086244689504383e-15 relative error 1.5544803016292959e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.02079033121664902 Order of pole (three term test) 32.99956757513663 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.020790331216649027 Order of pole (three term test) 32.00043242486336 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.559999999999939 y1[1] (closed_form) 1.0107961170583284 y1[1] (numeric) 1.0107961170582713 absolute error 5.706546346573305e-14 relative error 5.6455958330951975e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9999417202299656 y2[1] (numeric) 1.9999417202299679 absolute error 2.220446049250313e-15 relative error 1.1102553773391919e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.010795487863051892 Order of pole (three term test) 32.99988344385646 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.010795487863051892 Order of pole (three term test) 32.00011655614353 NO COMPLEX POLE (six term test) for Equation 2 SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE TOP MAIN SOLVE Loop x[1] 1.5699895045700343 y1[1] (closed_form) 1.0008068221373272 y1[1] (numeric) 1.0008068221372703 absolute error 5.684341886080802e-14 relative error 5.679759330518249e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9999996745189663 y2[1] (numeric) 1.9999996745189674 absolute error 1.1102230246251565e-15 relative error 5.551116026517274e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.5799940494212317 y1[1] (closed_form) 0.9908024070580951 y1[1] (numeric) 0.9908024070580383 absolute error 5.67323965583455e-14 relative error 5.7259041918152135e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9999577012474452 y2[1] (numeric) 1.9999577012474452 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.589998594272429 y1[1] (closed_form) 0.9807989125667025 y1[1] (numeric) 0.9807989125666452 absolute error 5.728750807065808e-14 relative error 5.840902486396471e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9998156421267768 y2[1] (numeric) 1.9998156421267756 absolute error 1.1102230246251565e-15 relative error 5.5516268661867725e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.6000031391236265 y1[1] (closed_form) 0.9707973399137415 y1[1] (numeric) 0.9707973399136842 absolute error 5.728750807065808e-14 relative error 5.9010779815021184e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9995735113756699 y2[1] (numeric) 1.9995735113756672 absolute error 2.6645352591003757e-15 relative error 1.3325517886397806e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.6100076839748239 y1[1] (closed_form) 0.9607986901574475 y1[1] (numeric) 0.96079869015739 absolute error 5.750955267558311e-14 relative error 5.985598571763138e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9992313332290117 y2[1] (numeric) 1.9992313332290075 absolute error 4.218847493575595e-15 relative error 2.1102347804651612e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.6200122288260212 y1[1] (closed_form) 0.9508039640635028 y1[1] (numeric) 0.9508039640634454 absolute error 5.739853037312059e-14 relative error 6.036841719486882e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.998789141935441 y2[1] (numeric) 1.9987891419354364 absolute error 4.6629367034256575e-15 relative error 2.332880745444967e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.6300167736772186 y1[1] (closed_form) 0.94081416200487 y1[1] (numeric) 0.9408141620048129 absolute error 5.706546346573305e-14 relative error 6.065540440433725e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9982469817539217 y2[1] (numeric) 1.9982469817539175 absolute error 4.218847493575595e-15 relative error 2.1112742979712073e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.640021318528416 y1[1] (closed_form) 0.9308302838616647 y1[1] (numeric) 0.9308302838616077 absolute error 5.695444116327053e-14 relative error 6.118670841583278e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9976049069493103 y2[1] (numeric) 1.997604906949306 absolute error 4.218847493575595e-15 relative error 2.1119529086552496e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.6500258633796134 y1[1] (closed_form) 0.9208533289210772 y1[1] (numeric) 0.9208533289210201 absolute error 5.706546346573305e-14 relative error 6.197019837306133e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.996862981786928 y2[1] (numeric) 1.996862981786923 absolute error 4.884981308350689e-15 relative error 2.4463277415154834e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.6600304082308108 y1[1] (closed_form) 0.910884295777354 y1[1] (numeric) 0.9108842957772968 absolute error 5.717648576819556e-14 relative error 6.277030577127341e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.996021280526125 y2[1] (numeric) 1.9960212805261188 absolute error 6.217248937900877e-15 relative error 3.1148209683726877e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.6700349530820082 y1[1] (closed_form) 0.9009241822318481 y1[1] (numeric) 0.9009241822317913 absolute error 5.684341886080802e-14 relative error 6.309456442826358e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9950798874128508 y2[1] (numeric) 1.9950798874128446 absolute error 6.217248937900877e-15 relative error 3.1162907195476696e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.6800394979332056 y1[1] (closed_form) 0.8909739851931495 y1[1] (numeric) 0.8909739851930928 absolute error 5.67323965583455e-14 relative error 6.367458253682545e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9940388966712201 y2[1] (numeric) 1.994038896671213 absolute error 7.105427357601002e-15 relative error 3.56333438102063e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.690044042784403 y1[1] (closed_form) 0.8810347005773038 y1[1] (numeric) 0.8810347005772474 absolute error 5.639932965095795e-14 relative error 6.4014878885022255e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.992898412494082 y2[1] (numeric) 1.992898412494075 absolute error 7.105427357601002e-15 relative error 3.565373585053273e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.7000485876356004 y1[1] (closed_form) 0.8711073232081317 y1[1] (numeric) 0.8711073232080753 absolute error 5.639932965095795e-14 relative error 6.474440995771837e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9916585490325927 y2[1] (numeric) 1.991658549032584 absolute error 8.659739592076221e-15 relative error 4.3480041276565767e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.7100531324867978 y1[1] (closed_form) 0.8611928467176561 y1[1] (numeric) 0.8611928467176 absolute error 5.6066262743570405e-14 relative error 6.510302884802276e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9903194303847884 y2[1] (numeric) 1.990319430384779 absolute error 9.325873406851315e-15 relative error 4.68561642140445e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.7200576773379952 y1[1] (closed_form) 0.8512922634466504 y1[1] (numeric) 0.8512922634465945 absolute error 5.595524044110789e-14 relative error 6.572976502166291e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9888811905831658 y2[1] (numeric) 1.9888811905831558 absolute error 9.992007221626409e-15 relative error 5.023933691432128e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.7300622221891926 y1[1] (closed_form) 0.8414065643453144 y1[1] (numeric) 0.8414065643452585 absolute error 5.5844218138645374e-14 relative error 6.637007661343468e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9873439735812657 y2[1] (numeric) 1.9873439735812557 absolute error 9.992007221626409e-15 relative error 5.027819720418328e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.74006676704039 y1[1] (closed_form) 0.8315367388740896 y1[1] (numeric) 0.8315367388740339 absolute error 5.573319583618286e-14 relative error 6.702433365920338e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.985707933239265 y2[1] (numeric) 1.985707933239255 absolute error 9.992007221626409e-15 relative error 5.031962180523975e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.7500713118915874 y1[1] (closed_form) 0.8216837749046254 y1[1] (numeric) 0.8216837749045697 absolute error 5.573319583618286e-14 relative error 6.782803499150501e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.983973233308577 y2[1] (numeric) 1.9839732333085676 absolute error 9.547918011776346e-15 relative error 4.812523602374282e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.7600758567427848 y1[1] (closed_form) 0.8118486586209015 y1[1] (numeric) 0.8118486586208459 absolute error 5.562217353372034e-14 relative error 6.8512983230404664e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.982140047415462 y2[1] (numeric) 1.9821400474154525 absolute error 9.547918011776346e-15 relative error 4.816974473739129e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.7700804015939822 y1[1] (closed_form) 0.8020323744205213 y1[1] (numeric) 0.8020323744204657 absolute error 5.562217353372034e-14 relative error 6.935153156867025e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9802085590436471 y2[1] (numeric) 1.9802085590436365 absolute error 1.0658141036401503e-14 relative error 5.38233257690236e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.7800849464451796 y1[1] (closed_form) 0.7922359048161836 y1[1] (numeric) 0.792235904816128 absolute error 5.551115123125783e-14 relative error 7.006896669766268e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9781789615159642 y2[1] (numeric) 1.9781789615159526 absolute error 1.1546319456101628e-14 relative error 5.836842712781246e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.790089491296377 y1[1] (closed_form) 0.7824602303373427 y1[1] (numeric) 0.7824602303372868 absolute error 5.5844218138645374e-14 relative error 7.137004025695876e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9760514579749975 y2[1] (numeric) 1.976051457974985 absolute error 1.2434497875801753e-14 relative error 6.292598214291585e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8000940361475744 y1[1] (closed_form) 0.7727063294320667 y1[1] (numeric) 0.7727063294320112 absolute error 5.551115123125783e-14 relative error 7.183990750025058e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9738262613627524 y2[1] (numeric) 1.9738262613627389 absolute error 1.354472090042691e-14 relative error 6.862164702923488e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8100985809987717 y1[1] (closed_form) 0.7629751783691053 y1[1] (numeric) 0.7629751783690503 absolute error 5.5067062021407764e-14 relative error 7.217411992237566e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9715035943993429 y2[1] (numeric) 1.9715035943993282 absolute error 1.4654943925052066e-14 relative error 7.433384329951974e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8201031258499691 y1[1] (closed_form) 0.7532677511401745 y1[1] (numeric) 0.753267751140119 absolute error 5.551115123125783e-14 relative error 7.36937843777781e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.969083689560697 y2[1] (numeric) 1.969083689560682 absolute error 1.4876988529977098e-14 relative error 7.555285033769264e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8301076707011665 y1[1] (closed_form) 0.7435850193624698 y1[1] (numeric) 0.7435850193624141 absolute error 5.573319583618286e-14 relative error 7.49520154184481e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9665667890552907 y2[1] (numeric) 1.9665667890552758 absolute error 1.4876988529977098e-14 relative error 7.564954626902746e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.840112215552364 y1[1] (closed_form) 0.7339279521814166 y1[1] (numeric) 0.7339279521813612 absolute error 5.540012892879531e-14 relative error 7.548442427370744e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9639531447999043 y2[1] (numeric) 1.9639531447998886 absolute error 1.5765166949677223e-14 relative error 8.027262254916699e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8501167604035613 y1[1] (closed_form) 0.7242975161736691 y1[1] (numeric) 0.7242975161736135 absolute error 5.562217353372034e-14 relative error 7.679464901048132e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9612430183944078 y2[1] (numeric) 1.9612430183943914 absolute error 1.6431300764452317e-14 relative error 8.378003444929519e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8601213052547587 y1[1] (closed_form) 0.7146946752503651 y1[1] (numeric) 0.7146946752503095 absolute error 5.562217353372034e-14 relative error 7.782648375578748e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9584366810955773 y2[1] (numeric) 1.958436681095561 absolute error 1.6431300764452317e-14 relative error 8.390008685529936e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8701258501059561 y1[1] (closed_form) 0.705120390560648 y1[1] (numeric) 0.7051203905605928 absolute error 5.517808432387028e-14 relative error 7.825342319202775e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9555344137899457 y2[1] (numeric) 1.9555344137899278 absolute error 1.7985612998927536e-14 relative error 9.197287898437089e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8801303949571535 y1[1] (closed_form) 0.6955756203954655 y1[1] (numeric) 0.6955756203954107 absolute error 5.484501741648273e-14 relative error 7.884838946094878e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.952536506965688 y2[1] (numeric) 1.952536506965669 absolute error 1.887379141862766e-14 relative error 9.66629374216322e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.890134939808351 y1[1] (closed_form) 0.6860613200916541 y1[1] (numeric) 0.6860613200915991 absolute error 5.495603971894525e-14 relative error 8.01036847720892e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9494432606835468 y2[1] (numeric) 1.949443260683528 absolute error 1.887379141862766e-14 relative error 9.68163157106189e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9001394846595483 y1[1] (closed_form) 0.6765784419363191 y1[1] (numeric) 0.6765784419362644 absolute error 5.473399511402022e-14 relative error 8.089822513022353e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.946254984546798 y2[1] (numeric) 1.946254984546779 absolute error 1.9095836023552692e-14 relative error 9.81157976481654e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9101440295107457 y1[1] (closed_form) 0.6671279350715207 y1[1] (numeric) 0.6671279350714661 absolute error 5.46229728115577e-14 relative error 8.187780774867679e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.942971997670265 y2[1] (numeric) 1.9429719976702449 absolute error 2.020605904817785e-14 relative error 1.0399562666063162e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9199872107353109 y1[1] (closed_form) 0.6578623662517602 y1[1] (numeric) 0.657862366251706 absolute error 5.417888360170764e-14 relative error 8.235595525914867e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.93964984945093 y2[1] (numeric) 1.9396498494509098 absolute error 2.020605904817785e-14 relative error 1.0417374586396465e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9299917555865083 y1[1] (closed_form) 0.6484788763017075 y1[1] (numeric) 0.6484788763016535 absolute error 5.4067861299245124e-14 relative error 8.337644181657172e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9361799504336172 y2[1] (numeric) 1.936179950433597 absolute error 2.020605904817785e-14 relative error 1.0436043945012755e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9399963004377057 y1[1] (closed_form) 0.6391305701300434 y1[1] (numeric) 0.6391305701299894 absolute error 5.395683899678261e-14 relative error 8.442224721906832e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9326163490875188 y2[1] (numeric) 1.9326163490874977 absolute error 2.1094237467877974e-14 relative error 1.0914860302117168e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.950000845288903 y1[1] (closed_form) 0.6298183834095068 y1[1] (numeric) 0.6298183834094527 absolute error 5.4067861299245124e-14 relative error 8.584674998933827e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9289594020937886 y2[1] (numeric) 1.9289594020937666 absolute error 2.19824158875781e-14 relative error 1.1395997170141212e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9600053901401004 y1[1] (closed_form) 0.6205432481976381 y1[1] (numeric) 0.6205432481975844 absolute error 5.362377208939506e-14 relative error 8.64142382422898e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9252094754765543 y2[1] (numeric) 1.925209475476532 absolute error 2.220446049250313e-14 relative error 1.153352961085275e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9700099349912978 y1[1] (closed_form) 0.6113060928434889 y1[1] (numeric) 0.6113060928434351 absolute error 5.384581669432009e-14 relative error 8.808323248318432e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9213669445662815 y2[1] (numeric) 1.9213669445662587 absolute error 2.2870594307278225e-14 relative error 1.190329331518759e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9800144798424952 y1[1] (closed_form) 0.6021078418947037 y1[1] (numeric) 0.6021078418946502 absolute error 5.3512749786932545e-14 relative error 8.887568980755915e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9174321939622077 y2[1] (numeric) 1.917432193962184 absolute error 2.375877272697835e-14 relative error 1.2390932415650591e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9900190246936926 y1[1] (closed_form) 0.5929494160049817 y1[1] (numeric) 0.5929494160049285 absolute error 5.3290705182007514e-14 relative error 8.987394833956593e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9134056174938463 y2[1] (numeric) 1.9134056174938219 absolute error 2.4424906541753444e-14 relative error 1.2765148339924322e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.00002356954489 y1[1] (closed_form) 0.5838317318419293 y1[1] (numeric) 0.5838317318418761 absolute error 5.3179682879545e-14 relative error 9.108734585523221e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.90928761818157 y2[1] (numeric) 1.9092876181815452 absolute error 2.4646951146678475e-14 relative error 1.2908977627033768e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.0100281143960874 y1[1] (closed_form) 0.5747557019953092 y1[1] (numeric) 0.5747557019952563 absolute error 5.295763827461997e-14 relative error 9.213938737932203e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9050786081962703 y2[1] (numeric) 1.905078608196246 absolute error 2.4202861936828413e-14 relative error 1.270439016673632e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.020032659247285 y1[1] (closed_form) 0.5657222348857007 y1[1] (numeric) 0.5657222348856481 absolute error 5.262457136723242e-14 relative error 9.302192511111881e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.900779008818106 y2[1] (numeric) 1.9007790088180812 absolute error 2.4868995751603507e-14 relative error 1.3083580803571116e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.030037204098482 y1[1] (closed_form) 0.5567322346735751 y1[1] (numeric) 0.556732234673523 absolute error 5.218048215738236e-14 relative error 9.372635336622276e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.8963892503943347 y2[1] (numeric) 1.8963892503943092 absolute error 2.55351295663786e-14 relative error 1.3465130938212622e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.0400417489496796 y1[1] (closed_form) 0.5477866011687983 y1[1] (numeric) 0.5477866011687463 absolute error 5.1958437552457326e-14 relative error 9.485160360183132e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.891909772296241 y2[1] (numeric) 1.891909772296215 absolute error 2.5979218776228663e-14 relative error 1.373174300204458e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.050046293800877 y1[1] (closed_form) 0.5388862297405687 y1[1] (numeric) 0.5388862297405168 absolute error 5.184741524999481e-14 relative error 9.621217316121672e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.8873410228751584 y2[1] (numeric) 1.8873410228751313 absolute error 2.708944180085382e-14 relative error 1.4353231065568642e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.0600508386520744 y1[1] (closed_form) 0.5300320112277999 y1[1] (numeric) 0.5300320112277482 absolute error 5.162537064506978e-14 relative error 9.740047686078712e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.882683459417595 y2[1] (numeric) 1.882683459417567 absolute error 2.7977620220553945e-14 relative error 1.4860501419186407e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.070055383503272 y1[1] (closed_form) 0.5212248318499559 y1[1] (numeric) 0.5212248318499045 absolute error 5.140332604014475e-14 relative error 9.862025540437438e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.8779375480994631 y2[1] (numeric) 1.8779375480994338 absolute error 2.930988785010413e-14 relative error 1.5607488055056325e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.080059928354469 y1[1] (closed_form) 0.5124655731183508 y1[1] (numeric) 0.5124655731182993 absolute error 5.1514348342607263e-14 relative error 1.0052255418669916e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.8731037639394197 y2[1] (numeric) 1.8731037639393893 absolute error 3.042011087472929e-14 relative error 1.624048355481984e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.0900644732056666 y1[1] (closed_form) 0.5037551117479162 y1[1] (numeric) 0.5037551117478651 absolute error 5.10702591327572e-14 relative error 1.0137913827922255e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.8681825907513216 y2[1] (numeric) 1.868182590751291 absolute error 3.064215547965432e-14 relative error 1.6402120237792738e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.100069018056864 y1[1] (closed_form) 0.49509431956945216 y1[1] (numeric) 0.4950943195694017 absolute error 5.0459636469213365e-14 relative error 1.0191923937461952e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.863174521095801 y2[1] (numeric) 1.8631745210957704 absolute error 3.064215547965432e-14 relative error 1.6446207874092518e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.1100735629080614 y1[1] (closed_form) 0.4864840634423654 y1[1] (numeric) 0.48648406344231526 absolute error 5.012656956182582e-14 relative error 1.0303846174760543e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.8580800562309645 y2[1] (numeric) 1.8580800562309325 absolute error 3.197442310920451e-14 relative error 1.7208312958303449e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.1200781077592588 y1[1] (closed_form) 0.4779252051679048 y1[1] (numeric) 0.47792520516785486 absolute error 4.9960036108132044e-14 relative error 1.0453526109923429e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.8528997060622225 y2[1] (numeric) 1.8528997060621897 absolute error 3.2862601528904634e-14 relative error 1.773576919537871e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.130082652610456 y1[1] (closed_form) 0.4694186014029039 y1[1] (numeric) 0.46941860140285413 absolute error 4.979350265443827e-14 relative error 1.0607483918537839e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.8476339890912525 y2[1] (numeric) 1.8476339890912195 absolute error 3.3084646133829665e-14 relative error 1.7906493563750764e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.1400871974616535 y1[1] (closed_form) 0.4609651035740384 y1[1] (numeric) 0.46096510357398884 absolute error 4.957145804951324e-14 relative error 1.0753841812572536e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.842283432364102 y2[1] (numeric) 1.8422834323640684 absolute error 3.352873534367973e-14 relative error 1.819955320374028e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.150091742312851 y1[1] (closed_form) 0.4525655577926061 y1[1] (numeric) 0.4525655577925568 absolute error 4.929390229335695e-14 relative error 1.0892102026894964e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.8368485714184373 y2[1] (numeric) 1.8368485714184026 absolute error 3.4638958368304884e-14 relative error 1.88578192602759e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.1600962871640483 y1[1] (closed_form) 0.44422080476983994 y1[1] (numeric) 0.4442208047697911 absolute error 4.884981308350689e-14 relative error 1.0996741386035936e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.8313299502299407 y2[1] (numeric) 1.831329950229905 absolute error 3.574918139293004e-14 relative error 1.952088502044178e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.1701008320152457 y1[1] (closed_form) 0.43593167973276137 y1[1] (numeric) 0.43593167973271263 absolute error 4.873879078104437e-14 relative error 1.1180373679408353e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.825728121157864 y2[1] (numeric) 1.8257281211578276 absolute error 3.6415315207705135e-14 relative error 1.994563965231077e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.180105376866443 y1[1] (closed_form) 0.42769901234058183 y1[1] (numeric) 0.4276990123405333 absolute error 4.851674617611934e-14 relative error 1.1343665703273796e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.8200436448897426 y2[1] (numeric) 1.8200436448897066 absolute error 3.597122599785507e-14 relative error 1.976393593574191e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.1901099217176405 y1[1] (closed_form) 0.41952362660166254 y1[1] (numeric) 0.4195236266016143 absolute error 4.823919041996305e-14 relative error 1.1498563456538322e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.8142770903852778 y2[1] (numeric) 1.8142770903852412 absolute error 3.6637359812630166e-14 relative error 2.019391635753384e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.200114466568838 y1[1] (closed_form) 0.4114063407910393 y1[1] (numeric) 0.4114063407909914 absolute error 4.7906123512575505e-14 relative error 1.1644478648642871e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.8084290348193872 y2[1] (numeric) 1.80842903481935 absolute error 3.730349362740526e-14 relative error 2.062756840836216e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.2101190114200353 y1[1] (closed_form) 0.4033479673685214 y1[1] (numeric) 0.4033479673684738 absolute error 4.7628567756419216e-14 relative error 1.1808307369726515e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.8025000635244368 y2[1] (numeric) 1.8025000635243988 absolute error 3.7969627442180354e-14 relative error 2.106497980806623e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.2201235562712327 y1[1] (closed_form) 0.3953493128973722 y1[1] (numeric) 0.39534931289732483 absolute error 4.7351012000262926e-14 relative error 1.197700627155375e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.7964907699316548 y2[1] (numeric) 1.7964907699316155 absolute error 3.930189507173054e-14 relative error 2.1877037015461946e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.23012810112243 y1[1] (closed_form) 0.38741117796358004 y1[1] (numeric) 0.3874111779635332 absolute error 4.6851411639181606e-14 relative error 1.2093458915009942e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.7904017555117342 y2[1] (numeric) 1.7904017555116951 absolute error 3.907985046680551e-14 relative error 2.1827419653995855e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.2401326459736275 y1[1] (closed_form) 0.37953435709572814 y1[1] (numeric) 0.37953435709568173 absolute error 4.6407322429331543e-14 relative error 1.2227436478860449e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.7842336297146333 y2[1] (numeric) 1.7842336297145938 absolute error 3.952393967665557e-14 relative error 2.215177374667966e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.250137190824825 y1[1] (closed_form) 0.37171963868546976 y1[1] (numeric) 0.3717196386854236 absolute error 4.6129766673175254e-14 relative error 1.2409827696030856e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.7779870099085737 y2[1] (numeric) 1.7779870099085333 absolute error 4.04121180963557e-14 relative error 2.2729141366692964e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.2601417356760223 y1[1] (closed_form) 0.3639678049086176 y1[1] (numeric) 0.363967804908572 absolute error 4.5574655160862676e-14 relative error 1.2521617172240065e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.7716625213182495 y2[1] (numeric) 1.7716625213182076 absolute error 4.196643033083092e-14 relative error 2.3687598414400475e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.2699849169005875 y1[1] (closed_form) 0.35640312528450435 y1[1] (numeric) 0.35640312528445917 absolute error 4.518607710224387e-14 relative error 1.2678361635065176e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.7653646600519561 y2[1] (numeric) 1.7653646600519144 absolute error 4.1744385725905886e-14 relative error 2.3646324564284252e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.279989461751785 y1[1] (closed_form) 0.34877833678188375 y1[1] (numeric) 0.34877833678183895 absolute error 4.4797499043625066e-14 relative error 1.2844117400456603e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.758887570958591 y2[1] (numeric) 1.758887570958548 absolute error 4.285460875053104e-14 relative error 2.436460946004374e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.2899940066029822 y1[1] (closed_form) 0.34121872910947726 y1[1] (numeric) 0.34121872910943263 absolute error 4.463096558993129e-14 relative error 1.3079869826140701e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.7523345247453872 y2[1] (numeric) 1.752334524745344 absolute error 4.3298697960381105e-14 relative error 2.470915076370613e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.2999985514541796 y1[1] (closed_form) 0.33372505890904314 y1[1] (numeric) 0.33372505890899895 absolute error 4.418687638008123e-14 relative error 1.3240502983063185e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.7457061773072837 y2[1] (numeric) 1.74570617730724 absolute error 4.374278717023117e-14 relative error 2.5057359445049066e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.310003096305377 y1[1] (closed_form) 0.3262980762226524 y1[1] (numeric) 0.3262980762226087 absolute error 4.368727601899991e-14 relative error 1.3388762975479362e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.7390031920761242 y2[1] (numeric) 1.7390031920760798 absolute error 4.440892098500626e-14 relative error 2.553699796950245e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.3200076411565744 y1[1] (closed_form) 0.3189385244176174 y1[1] (numeric) 0.31893852441757387 absolute error 4.3520742565306136e-14 relative error 1.3645495678132684e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.7322262399542558 y2[1] (numeric) 1.732226239954211 absolute error 4.4853010194856324e-14 relative error 2.5893274885410343e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.330012186007772 y1[1] (closed_form) 0.31164714011208783 y1[1] (numeric) 0.3116471401120448 absolute error 4.3021142204224816e-14 relative error 1.3804439915204009e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.7253759992473783 y2[1] (numeric) 1.7253759992473328 absolute error 4.551914400963142e-14 relative error 2.638215903634176e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.340016730858969 y1[1] (closed_form) 0.30442465310132283 y1[1] (numeric) 0.30442465310128025 absolute error 4.2577052994374753e-14 relative error 1.3986072599778464e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.7184531555966505 y2[1] (numeric) 1.7184531555966038 absolute error 4.6629367034256575e-14 relative error 2.7134499932334064e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.3500212757101666 y1[1] (closed_form) 0.29727178628464557 y1[1] (numeric) 0.29727178628460343 absolute error 4.213296378452469e-14 relative error 1.417321310949478e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.7114584019100676 y2[1] (numeric) 1.7114584019100203 absolute error 4.729550084903167e-14 relative error 2.7634618987085912e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.360025820561364 y1[1] (closed_form) 0.2901892555930883 y1[1] (numeric) 0.29018925559304654 absolute error 4.1744385725905886e-14 relative error 1.4385227888809593e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.704392438293105 y2[1] (numeric) 1.7043924382930573 absolute error 4.773959005888173e-14 relative error 2.8009740589257375e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.3700303654125614 y1[1] (closed_form) 0.28317776991773447 y1[1] (numeric) 0.2831777699176931 absolute error 4.135580766728708e-14 relative error 1.46041858014848e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.6972559719786469 y2[1] (numeric) 1.6972559719785982 absolute error 4.8627768478581856e-14 relative error 2.865081595317176e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.380034910263759 y1[1] (closed_form) 0.2762380310387662 y1[1] (numeric) 0.27623803103872513 absolute error 4.107825191113079e-14 relative error 1.4870599734822908e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.6900497172561975 y2[1] (numeric) 1.6900497172561488 absolute error 4.8627768478581856e-14 relative error 2.8772981044326456e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.390039455114956 y1[1] (closed_form) 0.2693707335552227 y1[1] (numeric) 0.2693707335551821 absolute error 4.057865155004947e-14 relative error 1.5064239167515427e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.6827743954003889 y2[1] (numeric) 1.68277439540034 absolute error 4.884981308350689e-14 relative error 2.902932990722376e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.4000439999661536 y1[1] (closed_form) 0.26257656481547786 y1[1] (numeric) 0.26257656481543784 absolute error 4.0023540037736893e-14 relative error 1.5242616973781682e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.6754307345987884 y2[1] (numeric) 1.6754307345987396 absolute error 4.884981308350689e-14 relative error 2.9156569755302264e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.410048544817351 y1[1] (closed_form) 0.25585620484844374 y1[1] (numeric) 0.2558562048484042 absolute error 3.952393967665557e-14 relative error 1.5447715915299984e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.6680194698790138 y2[1] (numeric) 1.6680194698789643 absolute error 4.951594689828198e-14 relative error 2.968547297704715e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.4200530896685484 y1[1] (closed_form) 0.2492103262955061 y1[1] (numeric) 0.2492103262954669 absolute error 3.9190872769268026e-14 relative error 1.572602281447867e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.660541343035165 y2[1] (numeric) 1.6605413430351155 absolute error 4.951594689828198e-14 relative error 2.9819159339794522e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.4300576345197458 y1[1] (closed_form) 0.24263959434319982 y1[1] (numeric) 0.24263959434316112 absolute error 3.8691272408186705e-14 relative error 1.5945984625023777e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.6529971025535772 y2[1] (numeric) 1.6529971025535268 absolute error 5.040412531798211e-14 relative error 3.04925672526086e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.440062179370943 y1[1] (closed_form) 0.23614466665663014 y1[1] (numeric) 0.23614466665659198 absolute error 3.8163916471489756e-14 relative error 1.6161244296481445e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.645387503537905 y2[1] (numeric) 1.6453875035378547 absolute error 5.040412531798211e-14 relative error 3.0633589479440787e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.4500667242221406 y1[1] (closed_form) 0.2297261933136473 y1[1] (numeric) 0.22972619331360972 absolute error 3.758104938356155e-14 relative error 1.6359061559972743e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.6377133076335442 y2[1] (numeric) 1.6377133076334929 absolute error 5.129230373768223e-14 relative error 3.131946446218866e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.460071269073338 y1[1] (closed_form) 0.22338481673977983 y1[1] (numeric) 0.22338481673974273 absolute error 3.710920459809586e-14 relative error 1.661223226345067e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.6299752829513987 y2[1] (numeric) 1.6299752829513465 absolute error 5.218048215738236e-14 relative error 3.201305118130324e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.4700758139245353 y1[1] (closed_form) 0.2171211716439344 y1[1] (numeric) 0.21712117164389777 absolute error 3.6637359812630166e-14 relative error 1.6874153513096007e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.6221742039909994 y2[1] (numeric) 1.622174203990947 absolute error 5.240252676230739e-14 relative error 3.2303883660202838e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.4800803587757327 y1[1] (closed_form) 0.21093588495486737 y1[1] (numeric) 0.2109358849548312 absolute error 3.6165515027164474e-14 relative error 1.714526432280718e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.6143108515629865 y2[1] (numeric) 1.6143108515629327 absolute error 5.3734794391857577e-14 relative error 3.328652244382251e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.49008490362693 y1[1] (closed_form) 0.20482957575843574 y1[1] (numeric) 0.20482957575840025 absolute error 3.549938121238938e-14 relative error 1.7331179387031154e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.6063860127109553 y2[1] (numeric) 1.6063860127109004 absolute error 5.484501741648273e-14 relative error 3.4141866887850733e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.5000894484781275 y1[1] (closed_form) 0.198802855235633 y1[1] (numeric) 0.19880285523559796 absolute error 3.505529200253932e-14 relative error 1.7633193427222003e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.5984004806326828 y2[1] (numeric) 1.598400480632628 absolute error 5.484501741648273e-14 relative error 3.4312438016018264e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.510093993329325 y1[1] (closed_form) 0.19285632660141527 y1[1] (numeric) 0.19285632660138083 absolute error 3.444466933899548e-14 relative error 1.786027450900473e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.5903550546007366 y2[1] (numeric) 1.5903550546006822 absolute error 5.440092820663267e-14 relative error 3.420678171786626e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.5200985381805223 y1[1] (closed_form) 0.1869905850443263 y1[1] (numeric) 0.18699058504429233 absolute error 3.397282455352979e-14 relative error 1.816820057837484e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.5822505398824744 y2[1] (numeric) 1.5822505398824196 absolute error 5.484501741648273e-14 relative error 3.4662663108053976e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.5301030830317197 y1[1] (closed_form) 0.18120621766692424 y1[1] (numeric) 0.18120621766689085 absolute error 3.338995746560158e-14 relative error 1.8426496560386122e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.574087747659446 y2[1] (numeric) 1.574087747659392 absolute error 5.395683899678261e-14 relative error 3.4278164655695023e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.540107627882917 y1[1] (closed_form) 0.1755038034270191 y1[1] (numeric) 0.17550380342698624 absolute error 3.2862601528904634e-14 relative error 1.8724723275054324e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.5658674949462008 y2[1] (numeric) 1.5658674949461466 absolute error 5.417888360170764e-14 relative error 3.459991587830303e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.5501121727341145 y1[1] (closed_form) 0.1698839130797246 y1[1] (numeric) 0.16988391307969217 absolute error 3.24462678946702e-14 relative error 1.909908201810935e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.5575906045085137 y2[1] (numeric) 1.5575906045084593 absolute error 5.440092820663267e-14 relative error 3.492633304872719e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.560116717585312 y1[1] (closed_form) 0.16434710912033101 y1[1] (numeric) 0.1643471091202991 absolute error 3.191891195797325e-14 relative error 1.9421644912903816e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.5492579047810344 y2[1] (numeric) 1.5492579047809794 absolute error 5.5067062021407764e-14 relative error 3.554415430217909e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.5701212624365093 y1[1] (closed_form) 0.1588939457280052 y1[1] (numeric) 0.15889394572797388 absolute error 3.1308289294429414e-14 relative error 1.9703890636602966e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.540870229784369 y2[1] (numeric) 1.540870229784313 absolute error 5.595524044110789e-14 relative error 3.6314051215681106e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.5801258072877067 y1[1] (closed_form) 0.15352496871032295 y1[1] (numeric) 0.15352496871029217 absolute error 3.0780933357732465e-14 relative error 2.0049464016378443e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.5324284190416027 y2[1] (numeric) 1.532428419041546 absolute error 5.6621374255882984e-14 relative error 3.694878896287672e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.590130352138904 y1[1] (closed_form) 0.1482407154486386 y1[1] (numeric) 0.14824071544860845 absolute error 3.0142555118573e-14 relative error 2.0333519726580504e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.5239333174942713 y2[1] (numeric) 1.523933317494215 absolute error 5.639932965095795e-14 relative error 3.700905348253203e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.6001348969901015 y1[1] (closed_form) 0.14304171484429884 y1[1] (numeric) 0.1430417148442692 absolute error 2.964295475749168e-14 relative error 2.0723293753684434e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.5153857754177933 y2[1] (numeric) 1.515385775417737 absolute error 5.639932965095795e-14 relative error 3.72178032589811e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.610139441841299 y1[1] (closed_form) 0.13792848726570484 y1[1] (numeric) 0.1379284872656757 absolute error 2.914335439641036e-14 relative error 2.1129322139427753e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.5067866483363626 y2[1] (numeric) 1.506786648336306 absolute error 5.6621374255882984e-14 relative error 3.757756568814731e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.6201439866924963 y1[1] (closed_form) 0.13290154449622849 y1[1] (numeric) 0.1329015444961999 absolute error 2.858824288409778e-14 relative error 2.151084322794237e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.4981367969373212 y2[1] (numeric) 1.498136796937264 absolute error 5.706546346573305e-14 relative error 3.809095643494867e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.6299871679170614 y1[1] (closed_form) 0.12804037837917603 y1[1] (numeric) 0.1280403783791479 absolute error 2.8144153674247718e-14 relative error 2.1980686116767184e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.4895777959250904 y2[1] (numeric) 1.489577795925033 absolute error 5.750955267558311e-14 relative error 3.860795510842538e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.639991712768259 y1[1] (closed_form) 0.12318609432426453 y1[1] (numeric) 0.12318609432423702 absolute error 2.7505775435088253e-14 relative error 2.2328636674432103e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.4808298813651897 y2[1] (numeric) 1.4808298813651324 absolute error 5.728750807065808e-14 relative error 3.868608325072711e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.6499962576194562 y1[1] (closed_form) 0.11841957064580133 y1[1] (numeric) 0.11841957064577438 absolute error 2.6950663922775675e-14 relative error 2.2758623237527534e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.4720338405026347 y2[1] (numeric) 1.4720338405025781 absolute error 5.6621374255882984e-14 relative error 3.8464723227116355e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.6600008024706536 y1[1] (closed_form) 0.11374128442553622 y1[1] (numeric) 0.11374128442550989 absolute error 2.6326163471424024e-14 relative error 2.3145653404906952e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.4631905537338836 y2[1] (numeric) 1.4631905537338266 absolute error 5.706546346573305e-14 relative error 3.900070521922722e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.670005347321851 y1[1] (closed_form) 0.10915170391352458 y1[1] (numeric) 0.10915170391349881 absolute error 2.5771051959111446e-14 relative error 2.361030660550069e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.4543009061842418 y2[1] (numeric) 1.4543009061841843 absolute error 5.750955267558311e-14 relative error 3.954446595682542e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.6800098921730484 y1[1] (closed_form) 0.10465128848125982 y1[1] (numeric) 0.10465128848123463 absolute error 2.518818487118324e-14 relative error 2.4068681080495012e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.4453657876192691 y2[1] (numeric) 1.4453657876192112 absolute error 5.795364188543317e-14 relative error 4.009617660930758e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.690014437024246 y1[1] (closed_form) 0.10024048857569556 y1[1] (numeric) 0.10024048857567096 absolute error 2.4605317783255032e-14 relative error 2.454628676782095e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.4363860923557223 y2[1] (numeric) 1.4363860923556644 absolute error 5.795364188543317e-14 relative error 4.0346841419487166e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.700018981875443 y1[1] (closed_form) 0.09591974567415962 y1[1] (numeric) 0.09591974567413561 absolute error 2.400857290751901e-14 relative error 2.5029854633973264e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.4273627191720446 y2[1] (numeric) 1.427362719171987 absolute error 5.750955267558311e-14 relative error 4.02907767613141e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.7100235267266406 y1[1] (closed_form) 0.09168949224016698 y1[1] (numeric) 0.0916894922401435 absolute error 2.348121697082206e-14 relative error 2.5609496134318757e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.418296571218405 y2[1] (numeric) 1.418296571218347 absolute error 5.795364188543317e-14 relative error 4.0861441155179125e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.720028071577838 y1[1] (closed_form) 0.08755015168013403 y1[1] (numeric) 0.08755015168011122 absolute error 2.2801205368239152e-14 relative error 2.604359322133872e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.4091885559263035 y2[1] (numeric) 1.4091885559262447 absolute error 5.88418203051333e-14 relative error 4.175581759990574e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.7300326164290354 y1[1] (closed_form) 0.0835021383010005 y1[1] (numeric) 0.0835021383009783 absolute error 2.220446049250313e-14 relative error 2.6591487289178895e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.400039584917745 y2[1] (numeric) 1.4000395849176857 absolute error 5.928590951498336e-14 relative error 4.2345880897693706e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.740037161280233 y1[1] (closed_form) 0.07954585726876084 y1[1] (numeric) 0.07954585726873921 absolute error 2.1635471192382738e-14 relative error 2.7198740368443293e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.3908505739139954 y2[1] (numeric) 1.3908505739139354 absolute error 5.995204332975845e-14 relative error 4.310458970516674e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.75004170613143 y1[1] (closed_form) 0.07568170456791123 y1[1] (numeric) 0.07568170456789013 absolute error 2.110811525568579e-14 relative error 2.7890644609814395e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.3816224426439276 y2[1] (numeric) 1.3816224426438677 absolute error 5.995204332975845e-14 relative error 4.339249383864367e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.7600462509826276 y1[1] (closed_form) 0.07191006696181546 y1[1] (numeric) 0.07191006696179497 absolute error 2.0483614804334138e-14 relative error 2.8485044820235008e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.3723561147519645 y2[1] (numeric) 1.372356114751904 absolute error 6.039613253960852e-14 relative error 4.400908181949867e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.770050795833825 y1[1] (closed_form) 0.06823132195399406 y1[1] (numeric) 0.06823132195397417 absolute error 1.9886869928598117e-14 relative error 2.914624744044549e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.3630525177056325 y2[1] (numeric) 1.3630525177055717 absolute error 6.084022174945858e-14 relative error 4.463527337293526e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.7800553406850224 y1[1] (closed_form) 0.06464583775033961 y1[1] (numeric) 0.06464583775032026 absolute error 1.9345636204093353e-14 relative error 2.992557120043158e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.3537125827027305 y2[1] (numeric) 1.35371258270267 absolute error 6.061817714453355e-14 relative error 4.4779207875505905e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.7900598855362198 y1[1] (closed_form) 0.061153973222263014 y1[1] (numeric) 0.06115397322224426 absolute error 1.8755830222261238e-14 relative error 3.066984732797902e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.3443372445781268 y2[1] (numeric) 1.3443372445780655 absolute error 6.128431095930864e-14 relative error 4.5587006687849804e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.800064430387417 y1[1] (closed_form) 0.05775607787077397 y1[1] (numeric) 0.05775607787075595 absolute error 1.8020307468447072e-14 relative error 3.1200711912548e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.3349274417101906 y2[1] (numeric) 1.3349274417101293 absolute error 6.128431095930864e-14 relative error 4.590834606021479e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.8100689752386145 y1[1] (closed_form) 0.054452491791500024 y1[1] (numeric) 0.054452491791482524 absolute error 1.749989042565403e-14 relative error 3.213790563095176e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.3254841159268707 y2[1] (numeric) 1.325484115926809 absolute error 6.17284001691587e-14 relative error 4.657045635435164e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.820073520089812 y1[1] (closed_form) 0.05124354564064515 y1[1] (numeric) 0.05124354564062831 absolute error 1.6840695504782843e-14 relative error 3.2864032522029876e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.3160082124114267 y2[1] (numeric) 1.316008212411364 absolute error 6.283862319378386e-14 relative error 4.7749415696000595e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.8300780649410093 y1[1] (closed_form) 0.04812956060189555 y1[1] (numeric) 0.04812956060187935 absolute error 1.6202317265623378e-14 relative error 3.36639625689524e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.3065006796078267 y2[1] (numeric) 1.3065006796077627 absolute error 6.394884621840902e-14 relative error 4.894666127353611e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.8400826097922067 y1[1] (closed_form) 0.045110848354271704 y1[1] (numeric) 0.04511084835425614 absolute error 1.5563939026463913e-14 relative error 3.450154362922796e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.2969624691258161 y2[1] (numeric) 1.2969624691257522 absolute error 6.394884621840902e-14 relative error 4.930662817214138e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.850087154643404 y1[1] (closed_form) 0.04218771104093244 y1[1] (numeric) 0.042187711040917564 absolute error 1.4876988529977098e-14 relative error 3.526379640635816e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.2873945356456726 y2[1] (numeric) 1.2873945356456087 absolute error 6.394884621840902e-14 relative error 4.967307569496283e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.8600916994946015 y1[1] (closed_form) 0.039360441238933674 y1[1] (numeric) 0.039360441238919436 absolute error 1.4238610290817633e-14 relative error 3.617492549024934e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.2777978368226504 y2[1] (numeric) 1.2777978368225869 absolute error 6.350475700855895e-14 relative error 4.9698594862602656e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.870096244345799 y1[1] (closed_form) 0.03662932192994406 y1[1] (numeric) 0.036629321929930424 absolute error 1.3634926521177704e-14 relative error 3.722407569338952e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.2681733331911298 y2[1] (numeric) 1.2681733331910672 absolute error 6.261657858885883e-14 relative error 4.937541024561326e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.8801007891969963 y1[1] (closed_form) 0.03399462647192153 y1[1] (numeric) 0.03399462647190845 absolute error 1.3079815008865125e-14 relative error 3.8476125100738e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.2585219880684764 y2[1] (numeric) 1.2585219880684138 absolute error 6.261657858885883e-14 relative error 4.975406006609386e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.8901053340481937 y1[1] (closed_form) 0.031456618571752526 y1[1] (numeric) 0.03145661857174007 absolute error 1.2455314557513475e-14 relative error 3.9595211192528245e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.2488447674586232 y2[1] (numeric) 1.248844767458561 absolute error 6.217248937900877e-14 relative error 4.978400118177111e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.900109878899391 y1[1] (closed_form) 0.0290155522588581 y1[1] (numeric) 0.029015552258846288 absolute error 1.1813466871402056e-14 relative error 4.071425822265901e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.2391426399553824 y2[1] (numeric) 1.23914263995532 absolute error 6.23945339839338e-14 relative error 5.035298759970073e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.9101144237505885 y1[1] (closed_form) 0.02667167185976771 y1[1] (numeric) 0.026671671859756566 absolute error 1.1143863609675009e-14 relative error 4.178164634098068e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.2294165766454996 y2[1] (numeric) 1.2294165766454375 absolute error 6.217248937900877e-14 relative error 5.0570726440543274e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.920118968601786 y1[1] (closed_form) 0.024425211973664762 y1[1] (numeric) 0.02442521197365418 absolute error 1.0581813203458523e-14 relative error 4.332332188096391e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.219667551011457 y2[1] (numeric) 1.2196675510113943 absolute error 6.261657858885883e-14 relative error 5.133905426682179e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.9301235134529833 y1[1] (closed_form) 0.022276397448905194 y1[1] (numeric) 0.022276397448895254 absolute error 9.939965517347105e-15 relative error 4.4621063796990294e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.209896538834038 y2[1] (numeric) 1.2098965388339746 absolute error 6.328271240363392e-14 relative error 5.230423459564458e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.9401280583041807 y1[1] (closed_form) 0.020225443360512796 y1[1] (numeric) 0.020225443360503526 absolute error 9.270362255620057e-15 relative error 4.583514976843018e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.2001045180946608 y2[1] (numeric) 1.2001045180945966 absolute error 6.417089082333405e-14 relative error 5.347108510616609e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.950132603155378 y1[1] (closed_form) 0.018272554988652323 y1[1] (numeric) 0.0182725549886436 absolute error 8.722189637211386e-15 relative error 4.773382618154969e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.190292468877492 y2[1] (numeric) 1.1902924688774281 absolute error 6.394884621840902e-14 relative error 5.372532204519122e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.9601371480065755 y1[1] (closed_form) 0.016417927798082488 y1[1] (numeric) 0.016417927798074397 absolute error 8.090750291955828e-15 relative error 4.927997242685388e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.180461373271351 y2[1] (numeric) 1.1804613732712868 absolute error 6.417089082333405e-14 relative error 5.436085608248291e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.970141692857773 y1[1] (closed_form) 0.014661747418592386 y1[1] (numeric) 0.01466174741858502 absolute error 7.365635878997523e-15 relative error 5.023709431562877e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.1706122152714107 y2[1] (numeric) 1.1706122152713456 absolute error 6.505906924303417e-14 relative error 5.557696083664221e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.979984874082338 y1[1] (closed_form) 0.013030141030525466 y1[1] (numeric) 0.01303014103051874 absolute error 6.725522916362081e-15 relative error 5.1615119902434867e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.1609052438106837 y2[1] (numeric) 1.1609052438106184 absolute error 6.52811138479592e-14 relative error 5.623293907577957e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.9899894189335354 y1[1] (closed_form) 0.011469777103485068 y1[1] (numeric) 0.011469777103478941 absolute error 6.127043317150083e-15 relative error 5.341902690757951e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.1510231717987889 y2[1] (numeric) 1.1510231717987236 absolute error 6.52811138479592e-14 relative error 5.671572514560206e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.999993963784733 y1[1] (closed_form) 0.01000835524833732 y1[1] (numeric) 0.010008355248331876 absolute error 5.443562267615221e-15 relative error 5.4390178331445176e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.1411259838651187 y2[1] (numeric) 1.1411259838650527 absolute error 6.59472476627343e-14 relative error 5.7791382016702264e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.00999850863593 y1[1] (closed_form) 0.00864602173891682 y1[1] (numeric) 0.008646021738912072 absolute error 4.747938153748521e-15 relative error 5.491471450247991e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.1312146706200337 y2[1] (numeric) 1.1312146706199666 absolute error 6.705747068735946e-14 relative error 5.927917346634514e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.0200030534871276 y1[1] (closed_form) 0.007382912931297447 y1[1] (numeric) 0.007382912931293333 absolute error 4.113896723278998e-15 relative error 5.572186427716731e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.1212902240876972 y2[1] (numeric) 1.1212902240876308 absolute error 6.639133687258436e-14 relative error 5.920977053608186e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.030007598338325 y1[1] (closed_form) 0.00621915525014427 y1[1] (numeric) 0.006219155250140843 absolute error 3.427813588530171e-15 relative error 5.5117028770919545e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.111353637606785 y2[1] (numeric) 1.1113536376067186 absolute error 6.639133687258436e-14 relative error 5.9739163688304496e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.0400121431895224 y1[1] (closed_form) 0.005154865176060119 y1[1] (numeric) 0.005154865176057302 absolute error 2.8171909249863347e-15 relative error 5.4651107813056774e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.101405905731061 y2[1] (numeric) 1.1014059057309948 absolute error 6.616929226765933e-14 relative error 6.0077117730487644e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.05001668804072 y1[1] (closed_form) 0.004190149233926577 y1[1] (numeric) 0.004190149233924388 absolute error 2.188353664944742e-15 relative error 5.2226150973960475e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.0914480241298328 y2[1] (numeric) 1.0914480241297662 absolute error 6.661338147750939e-14 relative error 6.103211513953451e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.060021232891917 y1[1] (closed_form) 0.0033251039822421724 y1[1] (numeric) 0.003325103982240658 absolute error 1.5144135945277526e-15 relative error 4.554484920217618e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.0814809894882944 y2[1] (numeric) 1.0814809894882276 absolute error 6.683542608243442e-14 relative error 6.17999083960392e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.0700257777431146 y1[1] (closed_form) 0.002559816003457782 y1[1] (numeric) 0.0025598160034570024 absolute error 7.797582024515748e-16 relative error 3.0461494162013314e-11% Desired digits 8 Estimated correct digits 8 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.0715057994077686 y2[1] (numeric) 1.0715057994077026 absolute error 6.59472476627343e-14 relative error 6.154632825989739e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.080030322594312 y1[1] (closed_form) 0.001894361895310781 y1[1] (numeric) 0.0018943618953106052 absolute error 1.7585759237714882e-16 relative error 9.283209972310933e-12% Desired digits 8 Estimated correct digits 8 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.0615234523058572 y2[1] (numeric) 1.0615234523057915 absolute error 6.572520305780927e-14 relative error 6.191592179620713e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.0900348674455094 y1[1] (closed_form) 0.0013288082631577325 y1[1] (numeric) 0.0013288082631582783 absolute error 5.457873736292029e-16 relative error 4.107344819878026e-11% Desired digits 8 Estimated correct digits 8 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.0515349473165083 y2[1] (numeric) 1.0515349473164424 absolute error 6.59472476627343e-14 relative error 6.2715222000971125e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.1000394122967068 y1[1] (closed_form) 0.0008632117133087203 y1[1] (numeric) 0.0008632117133099119 absolute error 1.191646607778818e-15 relative error 1.3804801179205452e-10% Desired digits 8 Estimated correct digits 8 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.0415412841900138 y2[1] (numeric) 1.0415412841899485 absolute error 6.52811138479592e-14 relative error 6.2677413597414e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.110043957147904 y1[1] (closed_form) 0.0004976188473608811 y1[1] (numeric) 0.0004976188473627391 absolute error 1.857997262988409e-15 relative error 3.733775906684981e-10% Desired digits 8 Estimated correct digits 8 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.0315434631929437 y2[1] (numeric) 1.0315434631928784 absolute error 6.52811138479592e-14 relative error 6.32848892725219e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.1200485019991016 y1[1] (closed_form) 0.00023206625753458 y1[1] (numeric) 0.00023206625753700088 absolute error 2.4208879258885707e-15 relative error 1.0431882478769393e-09% Desired digits 8 Estimated correct digits 7 Correct digits 11 h 0.00016136362663221634 y2[1] (closed_form) 1.0215424850080297 y2[1] (numeric) 1.0215424850079655 absolute error 6.417089082333405e-14 relative error 6.281764269728795e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.130053046850299 y1[1] (closed_form) 6.658052301034001e-05 y1[1] (numeric) 6.658052301340447e-05 absolute error 3.06445678294881e-15 relative error 4.6026324882922554e-09% Desired digits 8 Estimated correct digits 7 Correct digits 11 h 0.00016136362663221634 y2[1] (closed_form) 1.011539350634007 y2[1] (numeric) 1.0115393506339427 absolute error 6.417089082333405e-14 relative error 6.343884771572493e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.1400575917014963 y1[1] (closed_form) 1.178207269081355e-06 y1[1] (numeric) 1.1782072728322231e-06 absolute error 3.750868142964698e-15 relative error 3.1835384498087846e-07% Desired digits 8 Estimated correct digits 5 Correct digits 9 h 0.00016136362663221634 y2[1] (closed_form) 1.0015350612854232 y2[1] (numeric) 1.0015350612853595 absolute error 6.372680161348399e-14 relative error 6.362912700399488e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.1500621365526937 y1[1] (closed_form) 3.586585643411411e-05 y1[1] (numeric) 3.586585643848712e-05 absolute error 4.3730142662394555e-15 relative error 1.2192694392430643e-08% Desired digits 8 Estimated correct digits 7 Correct digits 10 h 0.00016136362663221634 y2[1] (closed_form) 0.9915306182924283 y2[1] (numeric) 0.9915306182923644 absolute error 6.38378239159465e-14 relative error 6.438310904194293e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.160066681403891 y1[1] (closed_form) 0.0001706399986156626 y1[1] (numeric) 0.00017063999862068817 absolute error 5.0255752250677466e-15 relative error 2.9451331843872053e-09% Desired digits 8 Estimated correct digits 7 Correct digits 11 h 0.00016136362663221634 y2[1] (closed_form) 0.9815270230005501 y2[1] (numeric) 0.9815270230004864 absolute error 6.361577931102147e-14 relative error 6.481306965604126e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.1700712262550885 y1[1] (closed_form) 0.00040548714425869825 y1[1] (numeric) 0.0004054871442643804 absolute error 5.682140955670656e-15 relative error 1.401312232983023e-09% Desired digits 8 Estimated correct digits 8 Correct digits 11 h 0.00016136362663221634 y2[1] (closed_form) 0.9715252766704698 y2[1] (numeric) 0.9715252766704063 absolute error 6.350475700855895e-14 relative error 6.536603682221954e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.180075771106286 y1[1] (closed_form) 0.0007403837874929708 y1[1] (numeric) 0.0007403837874993058 absolute error 6.3349932938328024e-15 relative error 8.556364146335317e-10% Desired digits 8 Estimated correct digits 8 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 0.9615263803778065 y2[1] (numeric) 0.9615263803777427 absolute error 6.372680161348399e-14 relative error 6.627670640554263e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.1900803159574833 y1[1] (closed_form) 0.001175296408485793 y1[1] (numeric) 0.0011752964084927042 absolute error 6.9111383282915995e-15 relative error 5.880336465245943e-10% Desired digits 8 Estimated correct digits 8 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 0.9515313349129179 y2[1] (numeric) 0.951531334912854 absolute error 6.38378239159465e-14 relative error 6.7089565601945e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.2000848608086807 y1[1] (closed_form) 0.0017101814767966905 y1[1] (numeric) 0.001710181476804312 absolute error 7.621507591704102e-15 relative error 4.4565490242473026e-10% Desired digits 8 Estimated correct digits 8 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 0.9415411406807326 y2[1] (numeric) 0.9415411406806687 absolute error 6.38378239159465e-14 relative error 6.78014174397009e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.210089405659878 y1[1] (closed_form) 0.002344985455735138 y1[1] (numeric) 0.002344985455743337 absolute error 8.199170509204379e-15 relative error 3.49646966430075e-10% Desired digits 8 Estimated correct digits 8 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 0.9315567976006189 y2[1] (numeric) 0.931556797600555 absolute error 6.394884621840902e-14 relative error 6.864728633092476e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.2200939505110755 y1[1] (closed_form) 0.0030796448077180516 y1[1] (numeric) 0.0030796448077269447 absolute error 8.893059899595102e-15 relative error 2.887690124948098e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 0.9215793050063029 y2[1] (numeric) 0.9215793050062393 absolute error 6.361577931102147e-14 relative error 6.902908839797177e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.230098495362273 y1[1] (closed_form) 0.003914086000630257 y1[1] (numeric) 0.003914086000639739 absolute error 9.481998519689228e-15 relative error 2.4225319827317057e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 0.9116096615458446 y2[1] (numeric) 0.9116096615457807 absolute error 6.38378239159465e-14 relative error 7.002758593814675e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.2401030402134703 y1[1] (closed_form) 0.004848225515183491 y1[1] (numeric) 0.004848225515193606 absolute error 1.0115172588420762e-14 relative error 2.0863659408462836e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 0.9016488650816836 y2[1] (numeric) 0.9016488650816196 absolute error 6.405986852087153e-14 relative error 7.104746759157526e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.2501075850646677 y1[1] (closed_form) 0.005881969853276381 y1[1] (numeric) 0.005881969853287159 absolute error 1.0777836956243902e-14 relative error 1.8323516143559323e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 0.8916979125907636 y2[1] (numeric) 0.8916979125906991 absolute error 6.45039577307216e-14 relative error 7.233835228268061e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.260112129915865 y1[1] (closed_form) 0.007015215547352516 y1[1] (numeric) 0.007015215547363962 absolute error 1.1446572856232962e-14 relative error 1.631677997485452e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 0.8817578000647432 y2[1] (numeric) 0.881757800064679 absolute error 6.428191312579656e-14 relative error 7.290200678811875e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.2701166747670625 y1[1] (closed_form) 0.008247849170756605 y1[1] (numeric) 0.008247849170768626 absolute error 1.2021633688519273e-14 relative error 1.4575477120923739e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 0.8718295224103088 y2[1] (numeric) 0.8718295224102446 absolute error 6.417089082333405e-14 relative error 7.360486101218917e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.28012121961826 y1[1] (closed_form) 0.009579747349086953 y1[1] (numeric) 0.009579747349099684 absolute error 1.2731135590193787e-14 relative error 1.3289636068958743e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 0.8619140733495929 y2[1] (numeric) 0.8619140733495292 absolute error 6.372680161348399e-14 relative error 7.393637438338514e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.2901257644694573 y1[1] (closed_form) 0.011010776772544806 y1[1] (numeric) 0.01101077677255813 absolute error 1.3324411018977855e-14 relative error 1.2101245256558156e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 0.8520124453207137 y2[1] (numeric) 0.8520124453206501 absolute error 6.361577931102147e-14 relative error 7.466531699202502e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.3001303093206547 y1[1] (closed_form) 0.012540794209276451 y1[1] (numeric) 0.012540794209290444 absolute error 1.3992279557228926e-14 relative error 1.1157411024956304e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 0.8421256293784406 y2[1] (numeric) 0.8421256293783772 absolute error 6.339373470609644e-14 relative error 7.527823936778451e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.310134854171852 y1[1] (closed_form) 0.014169646519709977 y1[1] (numeric) 0.014169646519724657 absolute error 1.4679230053715742e-14 relative error 1.0359630378426825e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 0.8322546150950003 y2[1] (numeric) 0.8322546150949369 absolute error 6.339373470609644e-14 relative error 7.617108221005198e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.3201393990230494 y1[1] (closed_form) 0.015897170671882788 y1[1] (numeric) 0.01589717067189808 absolute error 1.529332216421153e-14 relative error 9.620153472504841e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.8224003904610299 y2[1] (numeric) 0.8224003904609666 absolute error 6.328271240363392e-14 relative error 7.69487869140702e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.330143943874247 y1[1] (closed_form) 0.017723193757759326 y1[1] (numeric) 0.017723193757775247 absolute error 1.5921292062515136e-14 relative error 8.98330869713857e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.8125639417866894 y2[1] (numeric) 0.8125639417866264 absolute error 6.306066779870889e-14 relative error 7.760702211329885e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.339987125098812 y1[1] (closed_form) 0.019615716194106958 y1[1] (numeric) 0.019615716194123476 absolute error 1.6518036938251157e-14 relative error 8.420817662122162e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.8029044493997743 y2[1] (numeric) 0.8029044493997116 absolute error 6.272760089132134e-14 relative error 7.812586035388706e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.3499916699500094 y1[1] (closed_form) 0.02163659794824291 y1[1] (numeric) 0.021636597948260033 absolute error 1.712519015484304e-14 relative error 7.914918138151088e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.7931061781354701 y2[1] (numeric) 0.7931061781354077 absolute error 6.23945339839338e-14 relative error 7.867109815058863e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.359996214801207 y1[1] (closed_form) 0.02375540417633104 y1[1] (numeric) 0.023755404176348808 absolute error 1.7767037840954458e-14 relative error 7.479156199184707e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.783328614890934 y2[1] (numeric) 0.7833286148908717 absolute error 6.228351168147128e-14 relative error 7.951134491639026e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.370000759652404 y1[1] (closed_form) 0.025971922806880543 y1[1] (numeric) 0.025971922806898935 absolute error 1.839153829230611e-14 relative error 7.081315630367491e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.773572738303281 y2[1] (numeric) 0.7735727383032185 absolute error 6.250555628639631e-14 relative error 8.080113632687359e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.3800053045036016 y1[1] (closed_form) 0.02828593198835805 y1[1] (numeric) 0.028285931988377068 absolute error 1.9019508190609713e-14 relative error 6.7240168004497e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.763839524839007 y2[1] (numeric) 0.7638395248389447 absolute error 6.228351168147128e-14 relative error 8.154004821182652e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.390009849354799 y1[1] (closed_form) 0.030697200111392875 y1[1] (numeric) 0.03069720011141257 absolute error 1.9696050346240668e-14 relative error 6.416236749530368e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.7541299486962536 y2[1] (numeric) 0.7541299486961917 absolute error 6.195044477408373e-14 relative error 8.214823570020552e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.4000143942059964 y1[1] (closed_form) 0.033205485831958925 y1[1] (numeric) 0.03320548583197925 absolute error 2.0324020244544272e-14 relative error 6.120681488413348e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.7444449817073014 y2[1] (numeric) 0.7444449817072395 absolute error 6.195044477408373e-14 relative error 8.321695531079718e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.4100189390571938 y1[1] (closed_form) 0.0358105380955307 y1[1] (numeric) 0.035810538095551576 absolute error 2.087913175685685e-14 relative error 5.830443458056458e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.7347855932412986 y2[1] (numeric) 0.7347855932412367 absolute error 6.183942247162122e-14 relative error 8.415981891919535e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.420023483908391 y1[1] (closed_form) 0.038512096162211185 y1[1] (numeric) 0.03851209616223273 absolute error 2.1545265571631944e-14 relative error 5.5944151886421015e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.7251527501072368 y2[1] (numeric) 0.7251527501071751 absolute error 6.17284001691587e-14 relative error 8.512468601964236e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.4300280287595886 y1[1] (closed_form) 0.04130988963282989 y1[1] (numeric) 0.04130988963285203 absolute error 2.2142010447367966e-14 relative error 5.359978117630026e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.7155474164571831 y2[1] (numeric) 0.7155474164571217 absolute error 6.139533326177116e-14 relative error 8.580190753221023e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.440032573610786 y1[1] (closed_form) 0.0442036384760065 y1[1] (numeric) 0.044203638476029226 absolute error 2.2724877535296173e-14 relative error 5.140951812740735e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.7059705536897785 y2[1] (numeric) 0.7059705536897173 absolute error 6.117328865684613e-14 relative error 8.665133175473383e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.4500371184619834 y1[1] (closed_form) 0.0471930530561796 y1[1] (numeric) 0.04719305305620293 absolute error 2.3328561304936102e-14 relative error 4.9432193499253573e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.6964231203540102 y2[1] (numeric) 0.6964231203539492 absolute error 6.106226635438361e-14 relative error 8.767983797456932e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.4600416633131807 y1[1] (closed_form) 0.050277834162596236 y1[1] (numeric) 0.05027783416262018 absolute error 2.3946122862383845e-14 relative error 4.762759426936166e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.686906072053272 y2[1] (numeric) 0.6869060720532115 absolute error 6.050715484207103e-14 relative error 8.808650455105961e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.470046208164378 y1[1] (closed_form) 0.05345767303925997 y1[1] (numeric) 0.053457673039284545 absolute error 2.4577562207639403e-14 relative error 4.5975742695701214e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.6774203613497165 y2[1] (numeric) 0.6774203613496563 absolute error 6.017408793468348e-14 relative error 8.882828354138999e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.4800507530155755 y1[1] (closed_form) 0.056732251415834156 y1[1] (numeric) 0.05673225141585939 absolute error 2.523675712851059e-14 relative error 4.4483968992400906e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.6679669376689139 y2[1] (numeric) 0.6679669376688535 absolute error 6.039613253960852e-14 relative error 9.041784725211147e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.490055297866773 y1[1] (closed_form) 0.06010124153949803 y1[1] (numeric) 0.06010124153952381 absolute error 2.5777990853015353e-14 relative error 4.289094566553051e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.6585467472048232 y2[1] (numeric) 0.658546747204763 absolute error 6.017408793468348e-14 relative error 9.137405687612933e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.5000598427179703 y1[1] (closed_form) 0.06356430620775089 y1[1] (numeric) 0.06356430620777728 absolute error 2.6395552410463097e-14 relative error 4.1525746106931445e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.6491607328250885 y2[1] (numeric) 0.6491607328250285 absolute error 5.995204332975845e-14 relative error 9.235315738962308e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.5100643875691677 y1[1] (closed_form) 0.06712109880216321 y1[1] (numeric) 0.06712109880219023 absolute error 2.7020052861814747e-14 relative error 4.0255677192435844e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.6398098339766664 y2[1] (numeric) 0.6398098339766073 absolute error 5.906386491005833e-14 relative error 9.231471880160624e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.520068932420365 y1[1] (closed_form) 0.07077126332306971 y1[1] (numeric) 0.07077126332309731 absolute error 2.7602919949742954e-14 relative error 3.900300581570242e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.6304949865917971 y2[1] (numeric) 0.6304949865917383 absolute error 5.88418203051333e-14 relative error 9.332638887932886e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.5300734772715625 y1[1] (closed_form) 0.07451443442520111 y1[1] (numeric) 0.07451443442522931 absolute error 2.8199664825478976e-14 relative error 3.7844566684306366e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.6212171229943273 y2[1] (numeric) 0.6212171229942687 absolute error 5.861977570020827e-14 relative error 9.436278159503268e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.54007802212276 y1[1] (closed_form) 0.07835023745425174 y1[1] (numeric) 0.07835023745428044 absolute error 2.8699265186560297e-14 relative error 3.662945527550907e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.6119771718063927 y2[1] (numeric) 0.6119771718063345 absolute error 5.81756864903582e-14 relative error 9.506185715823217e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.5500825669739573 y1[1] (closed_form) 0.08227828848437857 y1[1] (numeric) 0.08227828848440792 absolute error 2.9351521213527576e-14 relative error 3.5673470795518896e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.602776057855473 y2[1] (numeric) 0.6027760578554148 absolute error 5.81756864903582e-14 relative error 9.651293499833555e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.5600871118251547 y1[1] (closed_form) 0.08629819435662878 y1[1] (numeric) 0.08629819435665873 absolute error 2.99482660892636e-14 relative error 3.4703236043968515e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.5936147020818259 y2[1] (numeric) 0.5936147020817681 absolute error 5.773159728050814e-14 relative error 9.72543252012485e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.570091656676352 y1[1] (closed_form) 0.09040955271829065 y1[1] (numeric) 0.09040955271832114 absolute error 3.048949981376836e-14 relative error 3.372375915714498e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.5844940214463096 y2[1] (numeric) 0.584494021446252 absolute error 5.762057497804562e-14 relative error 9.858197494555302e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.5800962015275495 y1[1] (closed_form) 0.09461195206316508 y1[1] (numeric) 0.09461195206319616 absolute error 3.107236690169657e-14 relative error 3.284190445722117e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.5754149288386043 y2[1] (numeric) 0.5754149288385465 absolute error 5.784261958297066e-14 relative error 1.0052332097069154e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.590100746378747 y1[1] (closed_form) 0.09890497177275359 y1[1] (numeric) 0.09890497177278537 absolute error 3.1780134079895106e-14 relative error 3.213198842310364e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.5663783329858414 y2[1] (numeric) 0.5663783329857839 absolute error 5.750955267558311e-14 relative error 1.0153911144941478e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.6001052912299443 y1[1] (closed_form) 0.10328818215835778 y1[1] (numeric) 0.10328818215839025 absolute error 3.247402347028583e-14 relative error 3.144021202783665e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.5573851383616479 y2[1] (numeric) 0.5573851383615906 absolute error 5.728750807065808e-14 relative error 1.027790375592832e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.6101098360811417 y1[1] (closed_form) 0.10776114450408725 y1[1] (numeric) 0.10776114450412028 absolute error 3.302913498259841e-14 relative error 3.0650319402784047e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.5484362450956192 y2[1] (numeric) 0.5484362450955621 absolute error 5.706546346573305e-14 relative error 1.0405122560013107e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.620114380932339 y1[1] (closed_form) 0.11232341111077015 y1[1] (numeric) 0.1123234111108038 absolute error 3.3639757646142243e-14 relative error 2.994901714030717e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.5395325488832232 y2[1] (numeric) 0.5395325488831664 absolute error 5.684341886080802e-14 relative error 1.0535679261328725e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.6301189257835365 y1[1] (closed_form) 0.11697452534076402 y1[1] (numeric) 0.11697452534079825 absolute error 3.422262473407045e-14 relative error 2.9256476685308105e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.5306749408961514 y2[1] (numeric) 0.5306749408960953 absolute error 5.6066262743570405e-14 relative error 1.056508578469736e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.640123470634734 y1[1] (closed_form) 0.12171402166366019 y1[1] (numeric) 0.12171402166369502 absolute error 3.4833247397614286e-14 relative error 2.8618927319541814e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.5218643076931211 y2[1] (numeric) 0.5218643076930655 absolute error 5.562217353372034e-14 relative error 1.0658359407562434e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.6501280154859312 y1[1] (closed_form) 0.12654142570287918 y1[1] (numeric) 0.1265414257029146 absolute error 3.5416114485542494e-14 relative error 2.7987763128811243e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.5131015311311391 y2[1] (numeric) 0.5131015311310833 absolute error 5.5844218138645374e-14 relative error 1.0883658447780512e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.6601325603371286 y1[1] (closed_form) 0.131456254283151 y1[1] (numeric) 0.13145625428318689 absolute error 3.5887959271008185e-14 relative error 2.7300305692346215e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.5043874882772375 y2[1] (numeric) 0.5043874882771822 absolute error 5.5289106626332796e-14 relative error 1.0961633250494715e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.670137105188326 y1[1] (closed_form) 0.1364580154788756 y1[1] (numeric) 0.13645801547891206 absolute error 3.647082635893639e-14 relative error 2.6726774701323622e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.4957230513206873 y2[1] (numeric) 0.4957230513206327 absolute error 5.4567461660326444e-14 relative error 1.1007650645849492e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.6801416500395234 y1[1] (closed_form) 0.14154620866336087 y1[1] (numeric) 0.1415462086633979 absolute error 3.702593787124897e-14 relative error 2.6158198245569193e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.48710908748570125 y2[1] (numeric) 0.4871090874856471 absolute error 5.417888360170764e-14 relative error 1.1122535997298145e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.6899848312640886 y1[1] (closed_form) 0.14663619203373157 y1[1] (numeric) 0.14663619203376918 absolute error 3.760880495917718e-14 relative error 2.564769613665759e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.4786841540358574 y2[1] (numeric) 0.4786841540358038 absolute error 5.362377208939506e-14 relative error 1.120232864139852e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.699989376115286 y1[1] (closed_form) 0.1518943394193748 y1[1] (numeric) 0.15189433941941302 absolute error 3.8219427622721014e-14 relative error 2.5161851171555872e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.47017286923837 y2[1] (numeric) 0.47017286923831686 absolute error 5.312417172831374e-14 relative error 1.129885946298204e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.7099939209664834 y1[1] (closed_form) 0.1572373737708369 y1[1] (numeric) 0.15723737377087568 absolute error 3.877453913503359e-14 relative error 2.4659874561085538e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.4617146148822876 y2[1] (numeric) 0.4617146148822348 absolute error 5.2791104820926193e-14 relative error 1.1433708858097352e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.719998465817681 y1[1] (closed_form) 0.16266476030336685 y1[1] (numeric) 0.16266476030340626 absolute error 3.941291737419306e-14 relative error 2.4229536440891483e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.45331023755498956 y2[1] (numeric) 0.453310237554937 absolute error 5.256906021600116e-14 relative error 1.1596707036563273e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.730003010668878 y1[1] (closed_form) 0.16817595578939715 y1[1] (numeric) 0.16817595578943711 absolute error 3.9968028886505635e-14 relative error 2.3765602341250654e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.44496057845129866 y2[1] (numeric) 0.4449605784512466 absolute error 5.206945985491984e-14 relative error 1.1702038871881522e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.7400075555200756 y1[1] (closed_form) 0.17377040861291493 y1[1] (numeric) 0.17377040861295556 absolute error 4.063416270128073e-14 relative error 2.3383821805815057e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.4366664732892862 y2[1] (numeric) 0.4366664732892347 absolute error 5.1514348342607263e-14 relative error 1.1797184234128191e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.750012100371273 y1[1] (closed_form) 0.1794475588246739 y1[1] (numeric) 0.17944755882471505 absolute error 4.116151863797768e-14 relative error 2.2937909497110418e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.4284287522266249 y2[1] (numeric) 0.42842875222657384 absolute error 5.10702591327572e-14 relative error 1.1920362222968334e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.7600166452224704 y1[1] (closed_form) 0.1852068381982389 y1[1] (numeric) 0.18520683819828074 absolute error 4.182765245275277e-14 relative error 2.2584291627494834e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.42024823977749814 y2[1] (numeric) 0.42024823977744763 absolute error 5.051514762044462e-14 relative error 1.2020311529963823e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.7700211900736678 y1[1] (closed_form) 0.19104767028686065 y1[1] (numeric) 0.1910476702869029 absolute error 4.2243986086987206e-14 relative error 2.2111751492995068e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.41212575473007473 y2[1] (numeric) 0.41212575473002455 absolute error 5.0182080713057076e-14 relative error 1.2176400076215633e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.780025734924865 y1[1] (closed_form) 0.1969694704811712 y1[1] (numeric) 0.196969470481214 absolute error 4.2799097599299785e-14 relative error 2.1728797612516838e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.40406211006455584 y2[1] (numeric) 0.40406211006450615 absolute error 4.9682480351975755e-14 relative error 1.2295753329615126e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.7900302797760625 y1[1] (closed_form) 0.2029716460676989 y1[1] (numeric) 0.20297164606774215 absolute error 4.324318680914985e-14 relative error 2.1305038239048703e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.39605811287180404 y2[1] (numeric) 0.39605811287175474 absolute error 4.929390229335695e-14 relative error 1.2446128659233497e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.80003482462726 y1[1] (closed_form) 0.20905359628819198 y1[1] (numeric) 0.2090535962882358 absolute error 4.3826053897078054e-14 relative error 2.0964027730315345e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.3881145642725612 y2[1] (numeric) 0.38811456427251223 absolute error 4.8960835385969403e-14 relative error 1.261504717756113e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.8100393694784573 y1[1] (closed_form) 0.2152147123997492 y1[1] (numeric) 0.21521471239979348 absolute error 4.427014310692812e-14 relative error 2.057022153053311e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.3802322593372647 y2[1] (numeric) 0.38023225933721616 absolute error 4.851674617611934e-14 relative error 1.275976590221009e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.8200439143296547 y1[1] (closed_form) 0.2214543777357484 y1[1] (numeric) 0.2214543777357932 absolute error 4.4825254619240695e-14 relative error 2.0241304361446704e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.3724119870064684 y2[1] (numeric) 0.3724119870064202 absolute error 4.8183679268731794e-14 relative error 1.2938272920816293e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.830048459180852 y1[1] (closed_form) 0.22777196776756936 y1[1] (numeric) 0.22777196776761457 absolute error 4.52138326778595e-14 relative error 1.9850481655406384e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.36465453001187764 y2[1] (numeric) 0.36465453001182957 absolute error 4.807265696626928e-14 relative error 1.3183068633400342e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.8400530040320495 y1[1] (closed_form) 0.2341668501671026 y1[1] (numeric) 0.23416685016714822 absolute error 4.5630166312093934e-14 relative error 1.9486176749412663e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.3569606647980056 y2[1] (numeric) 0.3569606647979578 absolute error 4.779510121011299e-14 relative error 1.3389458818147077e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.850057548883247 y1[1] (closed_form) 0.24063838487003886 y1[1] (numeric) 0.240638384870085 absolute error 4.6129766673175254e-14 relative error 1.9169745798488662e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.34933116144445897 y2[1] (numeric) 0.3493311614444114 absolute error 4.757305660518796e-14 relative error 1.361832606300475e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.8600620937344443 y1[1] (closed_form) 0.2471859241399338 y1[1] (numeric) 0.24718592413998036 absolute error 4.657385588302532e-14 relative error 1.884162945162667e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.34176678358886015 y2[1] (numeric) 0.3417667835888131 absolute error 4.707345624410664e-14 relative error 1.3773560949894779e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.8700666385856417 y1[1] (closed_form) 0.25380881263303945 y1[1] (numeric) 0.2538088126330864 absolute error 4.696243394164412e-14 relative error 1.8503074599518776e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.33426828835041544 y2[1] (numeric) 0.3342682883503688 absolute error 4.6629367034256575e-14 relative error 1.3949683131585228e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.880071183436839 y1[1] (closed_form) 0.260506387463898 y1[1] (numeric) 0.26050638746394567 absolute error 4.7684078907650473e-14 relative error 1.8304379931666253e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.32683642625413445 y2[1] (numeric) 0.3268364262540884 absolute error 4.6074255521943996e-14 relative error 1.409703809639583e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.8900757282880365 y1[1] (closed_form) 0.26727797827168975 y1[1] (numeric) 0.2672779782717378 absolute error 4.807265696626928e-14 relative error 1.7986014888739963e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.31947194115570987 y2[1] (numeric) 0.3194719411556642 absolute error 4.568567746332519e-14 relative error 1.4300372451506813e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.900080273139234 y1[1] (closed_form) 0.27412290728733 y1[1] (numeric) 0.27412290728737837 absolute error 4.835021272242557e-14 relative error 1.7638151149384194e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.3121755701670652 y2[1] (numeric) 0.3121755701670201 absolute error 4.5130565951012613e-14 relative error 1.4456789788791078e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.9100848179904313 y1[1] (closed_form) 0.28104048940130644 y1[1] (numeric) 0.2810404894013552 absolute error 4.873879078104437e-14 relative error 1.7342266548450513e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.3049480435825771 y2[1] (numeric) 0.30494804358253247 absolute error 4.463096558993129e-14 relative error 1.4635596630035647e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.9200893628416287 y1[1] (closed_form) 0.28803003223225243 y1[1] (numeric) 0.2880300322323015 absolute error 4.907185768843192e-14 relative error 1.703706287435434e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.29779008480598024 y2[1] (numeric) 0.29779008480593605 absolute error 4.418687638008123e-14 relative error 1.4838263137226478e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.930093907692826 y1[1] (closed_form) 0.2950908361962469 y1[1] (numeric) 0.2950908361962964 absolute error 4.951594689828198e-14 relative error 1.677989988999589e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.2907024102779613 y2[1] (numeric) 0.29070241027791777 absolute error 4.3520742565306136e-14 relative error 1.4970891546338695e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.9400984525440235 y1[1] (closed_form) 0.3022221945768363 y1[1] (numeric) 0.3022221945768861 absolute error 4.979350265443827e-14 relative error 1.6475792826585038e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.2836857294044509 y2[1] (numeric) 0.2836857294044078 absolute error 4.313216450668733e-14 relative error 1.520420663994479e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.950102997395221 y1[1] (closed_form) 0.30942339359576965 y1[1] (numeric) 0.30942339359581955 absolute error 4.9904524956900786e-14 relative error 1.612823270308256e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.27674074448561903 y2[1] (numeric) 0.2767407444855764 absolute error 4.263256414560601e-14 relative error 1.5405235764920564e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.9601075422464183 y1[1] (closed_form) 0.31669371248444056 y1[1] (numeric) 0.3166937124844909 absolute error 5.034861416675085e-14 relative error 1.5898204537049192e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.26986815064558134 y2[1] (numeric) 0.26986815064553943 absolute error 4.191091917959966e-14 relative error 1.553014651019023e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.9701120870976156 y1[1] (closed_form) 0.32403242355602924 y1[1] (numeric) 0.3240324235560801 absolute error 5.084821452783217e-14 relative error 1.569232299959633e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.2630686357628246 y2[1] (numeric) 0.2630686357627834 absolute error 4.118927421359331e-14 relative error 1.5657234886308688e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.980116631948813 y1[1] (closed_form) 0.3314387922783367 y1[1] (numeric) 0.3314387922783882 absolute error 5.1458837191376006e-14 relative error 1.5525894490999033e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.25634288040135667 y2[1] (numeric) 0.2563428804013158 absolute error 4.085620730620576e-14 relative error 1.5938108849458624e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.9901211768000104 y1[1] (closed_form) 0.338912077347304 y1[1] (numeric) 0.3389120773473561 absolute error 5.21249710061511e-14 relative error 1.5380086603622403e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.24969155774258878 y2[1] (numeric) 0.24969155774254848 absolute error 4.030109579389318e-14 relative error 1.6140351783715594e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.000125721651208 y1[1] (closed_form) 0.3464515307612096 y1[1] (numeric) 0.34645153076126195 absolute error 5.234701561107613e-14 relative error 1.5109477362117967e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.24311533351795678 y2[1] (numeric) 0.24311533351791706 absolute error 3.9718228705964975e-14 relative error 1.6337196067080375e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.010130266502405 y1[1] (closed_form) 0.35405639789553667 y1[1] (numeric) 0.3540563978955895 absolute error 5.284661597215745e-14 relative error 1.4926044631948635e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.2366148659422881 y2[1] (numeric) 0.23661486594224895 absolute error 3.913536161803677e-14 relative error 1.6539688435122305e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.020134811353603 y1[1] (closed_form) 0.3617259175785039 y1[1] (numeric) 0.36172591757855704 absolute error 5.312417172831374e-14 relative error 1.4686305057691756e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.23019080564792083 y2[1] (numeric) 0.2301908056478822 absolute error 3.863576125695545e-14 relative error 1.678423304015419e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.0301393562048 y1[1] (closed_form) 0.36945932216725097 y1[1] (numeric) 0.3694593221673044 absolute error 5.345723863570129e-14 relative error 1.4469045826782974e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.2238437956195818 y2[1] (numeric) 0.22384379561954382 absolute error 3.7969627442180354e-14 relative error 1.6962555221637236e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.040143901055997 y1[1] (closed_form) 0.37725583762467196 y1[1] (numeric) 0.3772558376247258 absolute error 5.384581669432009e-14 relative error 1.427302411895101e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.2175744711300308 y2[1] (numeric) 0.21757447112999317 absolute error 3.7636560534792807e-14 relative error 1.7298242913939917e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.049987082280563 y1[1] (closed_form) 0.3849874375777319 y1[1] (numeric) 0.3849874375777862 absolute error 5.4289905904170155e-14 relative error 1.41017343957382e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.21148269006774756 y2[1] (numeric) 0.21148269006771037 absolute error 3.7192471324942744e-14 relative error 1.758653217103882e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.05999162713176 y1[1] (closed_form) 0.39290684110189356 y1[1] (numeric) 0.39290684110194807 absolute error 5.4511950509095186e-14 relative error 1.3874014093574527e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.205369333325778 y2[1] (numeric) 0.2053693333257412 absolute error 3.680389326632394e-14 relative error 1.792083202994179e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.069996171982957 y1[1] (closed_form) 0.40088700863061677 y1[1] (numeric) 0.4008870086306715 absolute error 5.473399511402022e-14 relative error 1.3653222463103795e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.1993355112330576 y2[1] (numeric) 0.19933551123302123 absolute error 3.6359804056473877e-14 relative error 1.8240505081888293e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.080000716834155 y1[1] (closed_form) 0.40892714142827247 y1[1] (numeric) 0.4089271414283275 absolute error 5.5011550870176507e-14 relative error 1.3452653369506353e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.1933818277153393 y2[1] (numeric) 0.1933818277153034 absolute error 3.5887959271008185e-14 relative error 1.8558082574250853e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.090005261685352 y1[1] (closed_form) 0.41702643475730294 y1[1] (numeric) 0.41702643475735834 absolute error 5.540012892879531e-14 relative error 1.3284560476612603e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.1875088786772997 y2[1] (numeric) 0.18750887867726437 absolute error 3.533284775869561e-14 relative error 1.8843293185867197e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.10000980653655 y1[1] (closed_form) 0.4251840779587681 y1[1] (numeric) 0.42518407795882396 absolute error 5.5844218138645374e-14 relative error 1.3134127318864659e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.18171725194289445 y2[1] (numeric) 0.18171725194285968 absolute error 3.477773624638303e-14 relative error 1.9138378923599452e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.110014351387747 y1[1] (closed_form) 0.43339925453348427 y1[1] (numeric) 0.4333992545335404 absolute error 5.612177389480166e-14 relative error 1.2949208681775828e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.17600752719652313 y2[1] (numeric) 0.176007527196489 absolute error 3.4139358007223564e-14 relative error 1.9396532950039626e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.120018896238944 y1[1] (closed_form) 0.44167114222374737 y1[1] (numeric) 0.4416711422238038 absolute error 5.645484080218921e-14 relative error 1.278209858084629e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.17038027592500848 y2[1] (numeric) 0.17038027592497498 absolute error 3.35009797680641e-14 relative error 1.9662475357657766e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.130023441090142 y1[1] (closed_form) 0.44999891309563333 y1[1] (numeric) 0.4499989130956904 absolute error 5.706546346573305e-14 relative error 1.2681244733052399e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.16483606136039652 y2[1] (numeric) 0.16483606136036366 absolute error 3.2862601528904634e-14 relative error 1.9936536494313613e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.140027985941339 y1[1] (closed_form) 0.45838173362186596 y1[1] (numeric) 0.4583817336219232 absolute error 5.723199691942682e-14 relative error 1.248566265222064e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.15937543842358226 y2[1] (numeric) 0.1593754384235499 absolute error 3.236300116782331e-14 relative error 2.030614095116093e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.1500325307925365 y1[1] (closed_form) 0.4668187647652442 y1[1] (numeric) 0.4668187647653019 absolute error 5.767608612927688e-14 relative error 1.2355134472428775e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.1539989536687676 y2[1] (numeric) 0.15399895366873587 absolute error 3.172462292866385e-14 relative error 2.06005444666199e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.160037075643734 y1[1] (closed_form) 0.4753091620626222 y1[1] (numeric) 0.47530916206268015 absolute error 5.795364188543317e-14 relative error 1.2192830795421897e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.14870714522875716 y2[1] (numeric) 0.14870714522872594 absolute error 3.122502256758253e-14 relative error 2.0997661221691043e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.170041620494931 y1[1] (closed_form) 0.483852075709431 y1[1] (numeric) 0.4838520757094895 absolute error 5.850875339774575e-14 relative error 1.2092281160922862e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.14350054276109603 y2[1] (numeric) 0.14350054276106536 absolute error 3.066991105526995e-14 relative error 2.13726794792199e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.180046165346129 y1[1] (closed_form) 0.49244665064473636 y1[1] (numeric) 0.4924466506447951 absolute error 5.873079800267078e-14 relative error 1.1926327029694977e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.13837966739505636 y2[1] (numeric) 0.13837966739502644 absolute error 2.992051051364797e-14 relative error 2.162204251310181e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.190050710197326 y1[1] (closed_form) 0.5010920266368207 y1[1] (numeric) 0.5010920266368799 absolute error 5.917488721252084e-14 relative error 1.1809185552139978e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.13334503167947787 y2[1] (numeric) 0.13334503167944858 absolute error 2.9282132274488504e-14 relative error 2.1959672516988945e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.2000552550485235 y1[1] (closed_form) 0.5097873383692852 y1[1] (numeric) 0.5097873383693448 absolute error 5.950795411990839e-14 relative error 1.1673093786570544e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.12839713953146625 y2[1] (numeric) 0.12839713953143764 absolute error 2.861599845971341e-14 relative error 2.2287099669148387e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.210059799899721 y1[1] (closed_form) 0.5185317155276581 y1[1] (numeric) 0.5185317155277183 absolute error 6.017408793468348e-14 relative error 1.1604707317362509e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.12353648618595647 y2[1] (numeric) 0.1235364861859285 absolute error 2.7977620220553945e-14 relative error 2.264725271401998e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.220064344750918 y1[1] (closed_form) 0.5273242828865053 y1[1] (numeric) 0.5273242828865661 absolute error 6.072919944699606e-14 relative error 1.1516480734505954e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.11876355814614459 y2[1] (numeric) 0.11876355814611715 absolute error 2.743638649604918e-14 relative error 2.3101687861429106e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.230068889602116 y1[1] (closed_form) 0.5361641603970316 y1[1] (numeric) 0.5361641603970924 absolute error 6.072919944699606e-14 relative error 1.1326605531042182e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.11407883313479328 y2[1] (numeric) 0.11407883313476654 absolute error 2.6742497105658458e-14 relative error 2.3442120129384613e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.240073434453313 y1[1] (closed_form) 0.5450504632751647 y1[1] (numeric) 0.5450504632752255 absolute error 6.084022174945858e-14 relative error 1.1162309886661603e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.1094827800464172 y2[1] (numeric) 0.10948278004639105 absolute error 2.615963001773025e-14 relative error 2.3893830615773002e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.2500779793045105 y1[1] (closed_form) 0.5539823020901136 y1[1] (numeric) 0.5539823020901748 absolute error 6.128431095930864e-14 relative error 1.1062503391911575e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.10497585890035055 y2[1] (numeric) 0.10497585890032503 absolute error 2.5521251778570786e-14 relative error 2.43115436690993e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.260082524155708 y1[1] (closed_form) 0.5629587828533912 y1[1] (numeric) 0.5629587828534527 absolute error 6.150635556423367e-14 relative error 1.0925552178524497e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.10055852079470406 y2[1] (numeric) 0.10055852079467924 absolute error 2.4827362388180063e-14 relative error 2.4689466583211316e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.270087069006905 y1[1] (closed_form) 0.5719790071082944 y1[1] (numeric) 0.5719790071083566 absolute error 6.217248937900877e-14 relative error 1.0869715252895194e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.09623120786121486 y2[1] (numeric) 0.09623120786119065 absolute error 2.4216739724636227e-14 relative error 2.5165162386366107e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.280091613858103 y1[1] (closed_form) 0.5810420720198306 y1[1] (numeric) 0.5810420720198931 absolute error 6.250555628639631e-14 relative error 1.0757492322219146e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.09199435322099281 y2[1] (numeric) 0.09199435322096913 absolute error 2.3675506000131463e-14 relative error 2.5735825266641247e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.2900961587093 y1[1] (closed_form) 0.5901470704650819 y1[1] (numeric) 0.590147070465144 absolute error 6.217248937900877e-14 relative error 1.0535083963055515e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.08784838094116976 y2[1] (numeric) 0.08784838094114669 absolute error 2.3064883336587627e-14 relative error 2.6255331162032117e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.3001007035604975 y1[1] (closed_form) 0.5992930911239996 y1[1] (numeric) 0.599293091124062 absolute error 6.23945339839338e-14 relative error 1.041135546330264e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.08379370599245461 y2[1] (numeric) 0.08379370599243217 absolute error 2.2440382885235977e-14 relative error 2.6780511279995982e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.310105248411695 y1[1] (closed_form) 0.6084792185706186 y1[1] (numeric) 0.6084792185706814 absolute error 6.283862319378386e-14 relative error 1.0327160119189998e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.0798307342075989 y2[1] (numeric) 0.07983073420757712 absolute error 2.1774249070460883e-14 relative error 2.7275521497569095e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.320109793262892 y1[1] (closed_form) 0.6177045333646817 y1[1] (numeric) 0.6177045333647448 absolute error 6.317169010117141e-14 relative error 1.0226845795848479e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.07595986224077678 y2[1] (numeric) 0.07595986224075565 absolute error 2.1121993043493603e-14 relative error 2.7806781661269118e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.33011433811409 y1[1] (closed_form) 0.626968112143667 y1[1] (numeric) 0.6269681121437303 absolute error 6.328271240363392e-14 relative error 1.0093449918411953e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.07218147752788406 y2[1] (numeric) 0.07218147752786364 absolute error 2.042810365310288e-14 relative error 2.8301032831049216e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.340118882965287 y1[1] (closed_form) 0.6362690277152073 y1[1] (numeric) 0.636269027715271 absolute error 6.372680161348399e-14 relative error 1.0015700723689472e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 0.06849595824775978 y2[1] (numeric) 0.06849595824773988 absolute error 1.990074771640593e-14 relative error 2.905390073443757e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.350123427816484 y1[1] (closed_form) 0.6456063491498926 y1[1] (numeric) 0.6456063491499562 absolute error 6.361577931102147e-14 relative error 9.853648340786621e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.06490367328433366 y2[1] (numeric) 0.06490367328431448 absolute error 1.917910275039958e-14 relative error 2.955010368423785e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.360127972667682 y1[1] (closed_form) 0.6549791418744468 y1[1] (numeric) 0.6549791418745111 absolute error 6.428191312579656e-14 relative error 9.814345070872315e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.06140498218970558 y2[1] (numeric) 0.06140498218968703 absolute error 1.855460229904793e-14 relative error 3.0216770101365766e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.370132517518879 y1[1] (closed_form) 0.6643864677652701 y1[1] (numeric) 0.6643864677653349 absolute error 6.483702463810914e-14 relative error 9.758932155285299e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.058000235148156776 y2[1] (numeric) 0.05800023514813887 absolute error 1.790234627208065e-14 relative error 3.0865989122889923e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.380137062370077 y1[1] (closed_form) 0.6738273852423347 y1[1] (numeric) 0.6738273852423995 absolute error 6.483702463810914e-14 relative error 9.622200886773282e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.05468977294110078 y2[1] (numeric) 0.05468977294108351 absolute error 1.727090692682509e-14 relative error 3.157977442222211e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.390141607221274 y1[1] (closed_form) 0.6833009493634281 y1[1] (numeric) 0.6833009493634932 absolute error 6.505906924303417e-14 relative error 9.52129062657443e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.05147392691297403 y2[1] (numeric) 0.05147392691295744 absolute error 1.6590895324242183e-14 relative error 3.223164875742254e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.399984788445839 y1[1] (closed_form) 0.6926526547106515 y1[1] (numeric) 0.6926526547107164 absolute error 6.483702463810914e-14 relative error 9.360683770885731e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.048402601231177234 y2[1] (numeric) 0.04840260123116125 absolute error 1.5980272660698347e-14 relative error 3.301531788420719e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.409989333297037 y1[1] (closed_form) 0.7021881759624278 y1[1] (numeric) 0.7021881759624929 absolute error 6.517009154549669e-14 relative error 9.281000987544935e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.04537540495574166 y2[1] (numeric) 0.04537540495572641 absolute error 1.5251688800788088e-14 relative error 3.3612237324745214e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.419993878148234 y1[1] (closed_form) 0.7117535052243407 y1[1] (numeric) 0.7117535052244061 absolute error 6.539213615042172e-14 relative error 9.18746949195712e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.042443757135098736 y2[1] (numeric) 0.042443757135084054 absolute error 1.4682699500667695e-14 relative error 3.4593307689355995e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.429998422999431 y1[1] (closed_form) 0.7213476851017921 y1[1] (numeric) 0.7213476851018576 absolute error 6.550315845288424e-14 relative error 9.08066384709349e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.03960795119812144 y2[1] (numeric) 0.0396079511981074 absolute error 1.4037382367604323e-14 relative error 3.544081918650238e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.440002967850629 y1[1] (closed_form) 0.7309697553125233 y1[1] (numeric) 0.7309697553125893 absolute error 6.605826996519681e-14 relative error 9.037072941130629e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.03686827098086087 y2[1] (numeric) 0.036868270980847544 absolute error 1.3329615189405786e-14 relative error 3.615470656686201e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.450007512701826 y1[1] (closed_form) 0.7406187527827298 y1[1] (numeric) 0.740618752782796 absolute error 6.616929226765933e-14 relative error 8.934325794349816e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.034224990698137114 y2[1] (numeric) 0.034224990698124375 absolute error 1.2739809207573671e-14 relative error 3.7223703930084944e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.4600120575530235 y1[1] (closed_form) 0.7502937117434557 y1[1] (numeric) 0.7502937117435221 absolute error 6.639133687258436e-14 relative error 8.84871295513206e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.03167837491609249 y2[1] (numeric) 0.03167837491608039 absolute error 1.2101430968414206e-14 relative error 3.8200920976747226e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.470016602404221 y1[1] (closed_form) 0.7599936638272571 y1[1] (numeric) 0.7599936638273235 absolute error 6.639133687258436e-14 relative error 8.73577505083974e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.029228678525711538 y2[1] (numeric) 0.029228678525700127 absolute error 1.1411011024975437e-14 relative error 3.904046163064654e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.480021147255418 y1[1] (closed_form) 0.7697176381651265 y1[1] (numeric) 0.7697176381651936 absolute error 6.705747068735946e-14 relative error 8.711957133685133e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.02687614671730898 y2[1] (numeric) 0.026876146717298204 absolute error 1.0776102232767926e-14 relative error 4.009541377383469e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.490025692106616 y1[1] (closed_form) 0.779464661483667 y1[1] (numeric) 0.779464661483734 absolute error 6.694644838489694e-14 relative error 8.588772742752462e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.02462101495598834 y2[1] (numeric) 0.024621014955978206 absolute error 1.0134254546656507e-14 relative error 4.116099423509609e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.500030236957813 y1[1] (closed_form) 0.7892337582025072 y1[1] (numeric) 0.7892337582025739 absolute error 6.672440377997191e-14 relative error 8.454327135212491e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.022463508958074363 y2[1] (numeric) 0.022463508958064926 absolute error 9.43689570931383e-15 relative error 4.200989136170464e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.5100347818090105 y1[1] (closed_form) 0.7990239505319473 y1[1] (numeric) 0.7990239505320144 absolute error 6.705747068735946e-14 relative error 8.392423111061462e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.020403844668521187 y2[1] (numeric) 0.020403844668512392 absolute error 8.795048023202412e-15 relative error 4.3104856785992443e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.520039326660208 y1[1] (closed_form) 0.8088342585708261 y1[1] (numeric) 0.8088342585708931 absolute error 6.694644838489694e-14 relative error 8.276905642348571e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.018442228239298086 y2[1] (numeric) 0.018442228239289978 absolute error 8.108097526715596e-15 relative error 4.396484753094126e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.530043871511405 y1[1] (closed_form) 0.8186637004045996 y1[1] (numeric) 0.8186637004046664 absolute error 6.683542608243442e-14 relative error 8.163965991090487e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.01657885600875597 y2[1] (numeric) 0.01657885600874856 absolute error 7.41073868937292e-15 relative error 4.469994000466019e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.540048416362603 y1[1] (closed_form) 0.82851129220362 y1[1] (numeric) 0.8285112922036871 absolute error 6.716849298982197e-14 relative error 8.10713065976103e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.014813914481975776 y2[1] (numeric) 0.01481391448196901 absolute error 6.765421556309548e-15 relative error 4.566937094541147e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.5500529612138 y1[1] (closed_form) 0.8383760483216087 y1[1] (numeric) 0.8383760483216762 absolute error 6.750155989720952e-14 relative error 8.0514656916004e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.01314758031210106 y2[1] (numeric) 0.013147580312094983 absolute error 6.076736336346755e-15 relative error 4.621942739344756e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.5600575060649975 y1[1] (closed_form) 0.8482569813943088 y1[1] (numeric) 0.8482569813943761 absolute error 6.727951529228449e-14 relative error 7.931501510508626e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.011580020282656922 y2[1] (numeric) 0.01158002028265154 absolute error 5.3828469459560324e-15 relative error 4.648391638845205e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.570062050916195 y1[1] (closed_form) 0.8581531024383104 y1[1] (numeric) 0.8581531024383774 absolute error 6.694644838489694e-14 relative error 7.801224303061874e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.010111391290856586 y2[1] (numeric) 0.01011139129085189 absolute error 4.695896449469217e-15 relative error 4.6441645015909614e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.580066595767392 y1[1] (closed_form) 0.8680634209500387 y1[1] (numeric) 0.8680634209501052 absolute error 6.650235917504688e-14 relative error 7.661002361125227e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.00874184033189751 y2[1] (numeric) 0.008741840331893468 absolute error 4.0419056990259605e-15 relative error 4.6236324910645234e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.59007114061859 y1[1] (closed_form) 0.8779869450048927 y1[1] (numeric) 0.877986945004959 absolute error 6.628031457012185e-14 relative error 7.549123019107362e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.007471504484248603 y2[1] (numeric) 0.007471504484245202 absolute error 3.4017927363905187e-15 relative error 4.553022411432885e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.600075685469787 y1[1] (closed_form) 0.887922681356528 y1[1] (numeric) 0.8879226813565942 absolute error 6.628031457012185e-14 relative error 7.464649339609367e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.006300510895930089 y2[1] (numeric) 0.006300510895927301 absolute error 2.7885679876327174e-15 relative error 4.425939473311657e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.6100802303209845 y1[1] (closed_form) 0.89786963553627 y1[1] (numeric) 0.8978696355363356 absolute error 6.561418075534675e-14 relative error 7.307762525698669e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.0052289767717871305 y2[1] (numeric) 0.0052289767717850245 absolute error 2.105954299835844e-15 relative error 4.027469219596633e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.620084775172182 y1[1] (closed_form) 0.9078268119526508 y1[1] (numeric) 0.9078268119527161 absolute error 6.52811138479592e-14 relative error 7.190921548962144e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.004257009361759101 y2[1] (numeric) 0.004257009361757607 absolute error 1.493596912816031e-15 relative error 3.508559145378153e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.630089320023379 y1[1] (closed_form) 0.9177932139910584 y1[1] (numeric) 0.9177932139911239 absolute error 6.550315845288424e-14 relative error 7.137027976927535e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.0033847059501443955 y2[1] (numeric) 0.003384705950143641 absolute error 7.546047120499111e-16 relative error 2.2294542662346157e-11% Desired digits 8 Estimated correct digits 8 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.640093864874577 y1[1] (closed_form) 0.927767844113487 y1[1] (numeric) 0.9277678441135525 absolute error 6.550315845288424e-14 relative error 7.060296265761903e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.002612153845863996 y2[1] (numeric) 0.002612153845863851 absolute error 1.448494102440634e-16 relative error 5.545209769072886e-12% Desired digits 8 Estimated correct digits 8 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.650098409725774 y1[1] (closed_form) 0.9377497039583815 y1[1] (numeric) 0.9377497039584469 absolute error 6.539213615042172e-14 relative error 6.973303843700696e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.0019394303737217955 y2[1] (numeric) 0.0019394303737223452 absolute error 5.496905014501507e-16 relative error 2.8342884018841397e-11% Desired digits 8 Estimated correct digits 8 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.660102954576971 y1[1] (closed_form) 0.9477377944405633 y1[1] (numeric) 0.9477377944406284 absolute error 6.517009154549669e-14 relative error 6.876384156861203e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.0013666028666660113 y2[1] (numeric) 0.0013666028666671712 absolute error 1.1598794841249926e-15 relative error 8.487319267481527e-11% Desired digits 8 Estimated correct digits 8 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.670107499428169 y1[1] (closed_form) 0.9577311158512285 y1[1] (numeric) 0.9577311158512936 absolute error 6.505906924303417e-14 relative error 6.793041195618863e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.0008937286590491311 y2[1] (numeric) 0.0008937286590509592 absolute error 1.828073283027809e-15 relative error 2.0454455214323769e-10% Desired digits 8 Estimated correct digits 8 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.680112044279366 y1[1] (closed_form) 0.9677286679580094 y1[1] (numeric) 0.9677286679580747 absolute error 6.52811138479592e-14 relative error 6.745807581138209e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.0005208550808898371 y2[1] (numeric) 0.0005208550808923229 absolute error 2.485750320857516e-15 relative error 4.772441341285988e-10% Desired digits 8 Estimated correct digits 8 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.690116589130564 y1[1] (closed_form) 0.9777294501050875 y1[1] (numeric) 0.9777294501051531 absolute error 6.561418075534675e-14 relative error 6.710872905413094e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.0002480194531354618 y2[1] (numeric) 0.0002480194531385878 absolute error 3.1259717037102064e-15 relative error 1.2603735973899118e-09% Desired digits 8 Estimated correct digits 7 Correct digits 11 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.700121133981761 y1[1] (closed_form) 0.9877324613133494 y1[1] (numeric) 0.9877324613134147 absolute error 6.539213615042172e-14 relative error 6.620429996142108e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 7.524908392653185e-05 y2[1] (numeric) 7.524908393033413e-05 absolute error 3.802283466379508e-15 relative error 5.052929906883388e-09% Desired digits 8 Estimated correct digits 7 Correct digits 11 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.710125678832958 y1[1] (closed_form) 0.9977367003805745 y1[1] (numeric) 0.9977367003806399 absolute error 6.539213615042172e-14 relative error 6.554047388001132e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 2.561265863731954e-06 y2[1] (numeric) 2.5612658681246754e-06 absolute error 4.392721334790274e-15 relative error 1.7150587125655724e-07% Desired digits 8 Estimated correct digits 5 Correct digits 9 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.720130223684156 y1[1] (closed_form) 1.007741165981646 y1[1] (numeric) 1.0077411659817108 absolute error 6.483702463810914e-14 relative error 6.433896602303733e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 2.9963274276623153e-05 y2[1] (numeric) 2.9963274281688078e-05 absolute error 5.064924987665392e-15 relative error 1.6903776739837015e-08% Desired digits 8 Estimated correct digits 6 Correct digits 10 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.730134768535353 y1[1] (closed_form) 1.0177448567687732 y1[1] (numeric) 1.0177448567688383 absolute error 6.505906924303417e-14 relative error 6.3924733994322985e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.00015745236649600258 y2[1] (numeric) 0.00015745236650173576 absolute error 5.733179772940411e-15 relative error 3.641215372324026e-09% Desired digits 8 Estimated correct digits 7 Correct digits 11 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.740139313386551 y1[1] (closed_form) 1.0277467714717168 y1[1] (numeric) 1.0277467714717818 absolute error 6.505906924303417e-14 relative error 6.3302625752714005e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.0003850157821281286 y2[1] (numeric) 0.0003850157821344667 absolute error 6.338083270024386e-15 relative error 1.6461879133866644e-09% Desired digits 8 Estimated correct digits 8 Correct digits 11 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.750143858237748 y1[1] (closed_form) 1.037745908998005 y1[1] (numeric) 1.0377459089980703 absolute error 6.52811138479592e-14 relative error 6.29066453376736e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.0007126307443316993 y2[1] (numeric) 0.0007126307443387621 absolute error 7.0628182122223215e-15 relative error 9.910908655569988e-10% Desired digits 8 Estimated correct digits 8 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.759987039462313 y1[1] (closed_form) 1.0475800882828625 y1[1] (numeric) 1.047580088282929 absolute error 6.639133687258436e-14 relative error 6.33759056850818e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.0011325737621659115 y2[1] (numeric) 0.0011325737621735593 absolute error 7.647745284278251e-15 relative error 6.75253616122349e-10% Desired digits 8 Estimated correct digits 8 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.769991584313511 y1[1] (closed_form) 1.057570754397412 y1[1] (numeric) 1.0575707543974786 absolute error 6.661338147750939e-14 relative error 6.298716298699532e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.0016585713103393074 y2[1] (numeric) 0.0016585713103476544 absolute error 8.347055685531402e-15 relative error 5.032678205330693e-10% Desired digits 8 Estimated correct digits 8 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.779996129164708 y1[1] (closed_form) 1.067555658250385 y1[1] (numeric) 1.0675556582504508 absolute error 6.59472476627343e-14 relative error 6.177406035280177e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.002284492934806037 y2[1] (numeric) 0.0022844929348149992 absolute error 8.96201515776518e-15 relative error 3.9229778395117214e-10% Desired digits 8 Estimated correct digits 8 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.790000674015905 y1[1] (closed_form) 1.0775338004519277 y1[1] (numeric) 1.0775338004519932 absolute error 6.550315845288424e-14 relative error 6.078988744985225e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.00301027598701864 y2[1] (numeric) 0.003010275987028352 absolute error 9.711849380256155e-15 relative error 3.2262322199482824e-10% Desired digits 8 Estimated correct digits 8 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.800005218867103 y1[1] (closed_form) 1.0875041822889608 y1[1] (numeric) 1.0875041822890263 absolute error 6.550315845288424e-14 relative error 6.023255774061877e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.003835847823291605 y2[1] (numeric) 0.003835847823301904 absolute error 1.0299053276874304e-14 relative error 2.684948348142892e-10% Desired digits 8 Estimated correct digits 8 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.8100097637183 y1[1] (closed_form) 1.0974658058251405 y1[1] (numeric) 1.0974658058252056 absolute error 6.505906924303417e-14 relative error 5.928118115180716e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.004761125812071221 y2[1] (numeric) 0.004761125812082169 absolute error 1.094783985688963e-14 relative error 2.299422508250631e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.8200143085694975 y1[1] (closed_form) 1.1074176740007418 y1[1] (numeric) 1.1074176740008062 absolute error 6.439293542825908e-14 relative error 5.814692770400551e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.005786017342206962 y2[1] (numeric) 0.005786017342218611 absolute error 1.1649535502922248e-14 relative error 2.0133945015931742e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.830018853420695 y1[1] (closed_form) 1.1173587907324547 y1[1] (numeric) 1.1173587907325189 absolute error 6.417089082333405e-14 relative error 5.743087301552309e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.006910419832220849 y2[1] (numeric) 0.006910419832233084 absolute error 1.223500467606442e-14 relative error 1.7705153917012266e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.840023398271892 y1[1] (closed_form) 1.1272881610130818 y1[1] (numeric) 1.1272881610131458 absolute error 6.394884621840902e-14 relative error 5.672803851762168e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.00813422074057435 y2[1] (numeric) 0.008134220740587226 absolute error 1.2876852362175839e-14 relative error 1.583046830527323e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.85002794312309 y1[1] (closed_form) 1.1372047910111294 y1[1] (numeric) 1.1372047910111938 absolute error 6.439293542825908e-14 relative error 5.66238692777622e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.009457297576933144 y2[1] (numeric) 0.00945729757694675 absolute error 1.3607170945562075e-14 relative error 1.4388011834110724e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.860032487974287 y1[1] (closed_form) 1.1471076881702797 y1[1] (numeric) 1.147107688170344 absolute error 6.417089082333405e-14 relative error 5.594147043482141e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.010879517914427317 y2[1] (numeric) 0.01087951791444151 absolute error 1.4193507480442236e-14 relative error 1.304608126213041e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.8700370328254845 y1[1] (closed_form) 1.1569958613087357 y1[1] (numeric) 1.1569958613087992 absolute error 6.350475700855895e-14 relative error 5.488762676879895e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.012400739402905314 y2[1] (numeric) 0.012400739402920111 absolute error 1.4797191250082165e-14 relative error 1.1932507223412335e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.880041577676682 y1[1] (closed_form) 1.1668683207184287 y1[1] (numeric) 1.166868320718493 absolute error 6.417089082333405e-14 relative error 5.499411517473085e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.01402080978318232 y2[1] (numeric) 0.014020809783197778 absolute error 1.5458120894429328e-14 relative error 1.1025127031514995e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.890046122527879 y1[1] (closed_form) 1.1767240782640789 y1[1] (numeric) 1.1767240782641433 absolute error 6.439293542825908e-14 relative error 5.472220431084618e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.015739566902279845 y2[1] (numeric) 0.015739566902295957 absolute error 1.6112111644872584e-14 relative error 1.0236693134509806e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.900050667379077 y1[1] (closed_form) 1.186562147482097 y1[1] (numeric) 1.1865621474821617 absolute error 6.461498003318411e-14 relative error 5.4455622211022055e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.01755683872965541 y2[1] (numeric) 0.01755683872967222 absolute error 1.680947048221526e-14 relative error 9.574315023935508e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.910055212230274 y1[1] (closed_form) 1.1963815436793201 y1[1] (numeric) 1.1963815436793845 absolute error 6.439293542825908e-14 relative error 5.382307656654979e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.019472443374421444 y2[1] (numeric) 0.01947244337443884 absolute error 1.739580701709542e-14 relative error 8.933551215224565e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.9200597570814715 y1[1] (closed_form) 1.2061812840315695 y1[1] (numeric) 1.206181284031634 absolute error 6.439293542825908e-14 relative error 5.338578560349616e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.021486189103550157 y2[1] (numeric) 0.021486189103568233 absolute error 1.807581861967833e-14 relative error 8.41276158027096e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.930064301932669 y1[1] (closed_form) 1.2159603876820215 y1[1] (numeric) 1.2159603876820857 absolute error 6.417089082333405e-14 relative error 5.277383332006617e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.023597874361064863 y2[1] (numeric) 0.023597874361083578 absolute error 1.8714196858837795e-14 relative error 7.930458723737908e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.940068846783866 y1[1] (closed_form) 1.2257178758393819 y1[1] (numeric) 1.225717875839446 absolute error 6.417089082333405e-14 relative error 5.235372028770428e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.025807287788213173 y2[1] (numeric) 0.02580728778823252 absolute error 1.9345636204093353e-14 relative error 7.496191139050645e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.950073391635064 y1[1] (closed_form) 1.2354527718758526 y1[1] (numeric) 1.2354527718759167 absolute error 6.417089082333405e-14 relative error 5.194119296515077e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.028114208244622074 y2[1] (numeric) 0.028114208244642124 absolute error 2.0049933935339936e-14 relative error 7.131601843767113e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.960077936486261 y1[1] (closed_form) 1.2451641014248827 y1[1] (numeric) 1.2451641014249468 absolute error 6.417089082333405e-14 relative error 5.153609130708247e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.03051840483043211 y2[1] (numeric) 0.03051840483045284 absolute error 2.0729945537922845e-14 relative error 6.79260454571712e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.9700824813374584 y1[1] (closed_form) 1.2548508924786936 y1[1] (numeric) 1.254850892478758 absolute error 6.439293542825908e-14 relative error 5.131520869468754e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.0330196369094079 y2[1] (numeric) 0.03301963690942921 absolute error 2.1309343178899098e-14 relative error 6.453536493257948e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.980087026188656 y1[1] (closed_form) 1.2645121754855664 y1[1] (numeric) 1.2645121754856308 absolute error 6.439293542825908e-14 relative error 5.092314386259865e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.03561765413302331 y2[1] (numeric) 0.03561765413304534 absolute error 2.2024049251001543e-14 relative error 6.183464292383505e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.990091571039853 y1[1] (closed_form) 1.2741469834468842 y1[1] (numeric) 1.2741469834469483 absolute error 6.417089082333405e-14 relative error 5.036380547692845e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.03831219646551942 y2[1] (numeric) 0.03831219646554204 absolute error 2.2620794126737565e-14 relative error 5.904332357215814e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.000096115891051 y1[1] (closed_form) 1.2837543520139205 y1[1] (numeric) 1.2837543520139842 absolute error 6.372680161348399e-14 relative error 4.964096247347557e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.0411029942099308 y2[1] (numeric) 0.041102994209954065 absolute error 2.3266111259800937e-14 relative error 5.660441947603823e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.010100660742248 y1[1] (closed_form) 1.2933333195843595 y1[1] (numeric) 1.2933333195844234 absolute error 6.394884621840902e-14 relative error 4.944498471512383e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.043989768035080035 y2[1] (numeric) 0.04398976803510401 absolute error 2.3973878437999474e-14 relative error 5.4498760754731166e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.020105205593445 y1[1] (closed_form) 1.3028829273985436 y1[1] (numeric) 1.3028829273986078 absolute error 6.417089082333405e-14 relative error 4.925299846507589e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.04697222900353604 y2[1] (numeric) 0.04697222900356062 absolute error 2.458450110154331e-14 relative error 5.233837444608517e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.030109750444643 y1[1] (closed_form) 1.3124022196354357 y1[1] (numeric) 1.3124022196354999 absolute error 6.417089082333405e-14 relative error 4.889574999435744e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.05005007860053323 y2[1] (numeric) 0.0500500786005585 absolute error 2.526451270412622e-14 relative error 5.047846758797508e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.04011429529584 y1[1] (closed_form) 1.321890243508287 y1[1] (numeric) 1.321890243508351 absolute error 6.394884621840902e-14 relative error 4.837681988535542e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.053223008763850665 y2[1] (numeric) 0.05322300876387649 absolute error 2.5826563110342704e-14 relative error 4.852518433321687e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.050118840147038 y1[1] (closed_form) 1.3313460493600027 y1[1] (numeric) 1.3313460493600666 absolute error 6.394884621840902e-14 relative error 4.8033226409580105e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.056490701914645336 y2[1] (numeric) 0.056490701914671815 absolute error 2.6478819137309983e-14 relative error 4.687288038537417e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.060123384998235 y1[1] (closed_form) 1.3407686907581913 y1[1] (numeric) 1.340768690758255 absolute error 6.372680161348399e-14 relative error 4.7530049032877635e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.0598528309892391 y2[1] (numeric) 0.05985283098926628 absolute error 2.7179647421604614e-14 relative error 4.541079673656744e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.070127929849432 y1[1] (closed_form) 1.3501572245898952 y1[1] (numeric) 1.3501572245899582 absolute error 6.306066779870889e-14 relative error 4.670616625249946e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.0633090594718545 y2[1] (numeric) 0.06330905947188233 absolute error 2.7824964554667986e-14 relative error 4.395099972546301e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.08013247470063 y1[1] (closed_form) 1.3595107111559852 y1[1] (numeric) 1.3595107111560487 absolute error 6.350475700855895e-14 relative error 4.6711479716523286e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.06685904142829646 y2[1] (numeric) 0.06685904142832487 absolute error 2.8407831642596193e-14 relative error 4.2489139891517e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.090137019551827 y1[1] (closed_form) 1.3688282142652162 y1[1] (numeric) 1.3688282142652786 absolute error 6.23945339839338e-14 relative error 4.558244294915198e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.07050242154057673 y2[1] (numeric) 0.07050242154060575 absolute error 2.901845430614003e-14 relative error 4.115951434297734e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.100141564403025 y1[1] (closed_form) 1.3781088013279301 y1[1] (numeric) 1.378108801327992 absolute error 6.195044477408373e-14 relative error 4.495323207745933e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.07423883514247809 y2[1] (numeric) 0.07423883514250777 absolute error 2.968458812091512e-14 relative error 3.998525578148538e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.10998474562759 y1[1] (closed_form) 1.38720277210124 y1[1] (numeric) 1.3872027721013018 absolute error 6.17284001691587e-14 relative error 4.44984694455712e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.07800541580922771 y2[1] (numeric) 0.07800541580925804 absolute error 3.03368441478824e-14 relative error 3.889068961836581e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.119989290478787 y1[1] (closed_form) 1.396407376817966 y1[1] (numeric) 1.3964073768180272 absolute error 6.128431095930864e-14 relative error 4.3887129197898525e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.08192527994487331 y2[1] (numeric) 0.08192527994490423 absolute error 3.091971123581061e-14 relative error 3.7741355606738444e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.1299938353299845 y1[1] (closed_form) 1.4055723050875102 y1[1] (numeric) 1.405572305087571 absolute error 6.084022174945858e-14 relative error 4.32850174475163e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.0859370342552962 y2[1] (numeric) 0.0859370342553277 absolute error 3.1502578323738817e-14 relative error 3.6657744355190323e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.139998380181182 y1[1] (closed_form) 1.4146966395914435 y1[1] (numeric) 1.4146966395915046 absolute error 6.106226635438361e-14 relative error 4.316279875522858e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.09004027720367513 y2[1] (numeric) 0.09004027720370726 absolute error 3.212707877509047e-14 relative error 3.568078616908029e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.150002925032379 y1[1] (closed_form) 1.4237794670743695 y1[1] (numeric) 1.4237794670744304 absolute error 6.084022174945858e-14 relative error 4.27314925916688e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.09423459809608348 y2[1] (numeric) 0.09423459809611621 absolute error 3.2737701438634303e-14 relative error 3.4740638894914466e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.160007469883577 y1[1] (closed_form) 1.432819878435333 y1[1] (numeric) 1.4328198784353934 absolute error 6.039613253960852e-14 relative error 4.215193650548892e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.09851957712259574 y2[1] (numeric) 0.09851957712262915 absolute error 3.341771304121721e-14 relative error 3.39198705650481e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.170012014734774 y1[1] (closed_form) 1.441816968818812 y1[1] (numeric) 1.441816968818872 absolute error 5.995204332975845e-14 relative error 4.158089731658056e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.1028947853993063 y2[1] (numeric) 0.10289478539934027 absolute error 3.397282455352979e-14 relative error 3.301705175990272e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.1800165595859715 y1[1] (closed_form) 1.4507698377052851 y1[1] (numeric) 1.4507698377053453 absolute error 6.017408793468348e-14 relative error 4.147734972892887e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.10735978501125609 y2[1] (numeric) 0.10735978501129075 absolute error 3.46528361561127e-14 relative error 3.227729652446634e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.190021104437169 y1[1] (closed_form) 1.4596775890013636 y1[1] (numeric) 1.4596775890014237 absolute error 6.017408793468348e-14 relative error 4.122423224696593e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.1119141290562643 y2[1] (numeric) 0.1119141290562996 absolute error 3.530509218307998e-14 relative error 3.1546590659103024e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.200025649288366 y1[1] (closed_form) 1.4685393311294823 y1[1] (numeric) 1.4685393311295427 absolute error 6.039613253960852e-14 relative error 4.112667005871519e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.11655736168965825 y2[1] (numeric) 0.11655736168969404 absolute error 3.5790814756353484e-14 relative error 3.0706610236811054e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.210030194139564 y1[1] (closed_form) 1.477354177117138 y1[1] (numeric) 1.4773541771171976 absolute error 5.972999872483342e-14 relative error 4.043038538083579e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.1212890181698989 y2[1] (numeric) 0.1212890181699353 absolute error 3.640143741989732e-14 relative error 3.0012146168837e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.220034738990761 y1[1] (closed_form) 1.4861212446856649 y1[1] (numeric) 1.4861212446857235 absolute error 5.861977570020827e-14 relative error 3.944481374573658e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.12610862490509722 y2[1] (numeric) 0.12610862490513425 absolute error 3.702593787124897e-14 relative error 2.936035334546924e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.2300392838419585 y1[1] (closed_form) 1.4948396563385444 y1[1] (numeric) 1.494839656338603 absolute error 5.861977570020827e-14 relative error 3.9214758219481115e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.13101569950041603 y2[1] (numeric) 0.13101569950045358 absolute error 3.755329380794592e-14 relative error 2.8663201395819495e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.240043828693156 y1[1] (closed_form) 1.503508539449232 y1[1] (numeric) 1.5035085394492904 absolute error 5.839773109528323e-14 relative error 3.8840970678274696e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.13600975080635247 y2[1] (numeric) 0.1360097508063907 absolute error 3.8219427622721014e-14 relative error 2.8100505585909757e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.250048373544353 y1[1] (closed_form) 1.512127026348499 y1[1] (numeric) 1.5121270263485564 absolute error 5.750955267558311e-14 relative error 3.803222326794714e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.1410902789678976 y2[1] (numeric) 0.14109027896793636 absolute error 3.8746783559417963e-14 relative error 2.7462404811201806e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.260052918395551 y1[1] (closed_form) 1.5206942544112776 y1[1] (numeric) 1.520694254411336 absolute error 5.839773109528323e-14 relative error 3.840201994969157e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.14625677547456706 y2[1] (numeric) 0.14625677547460628 absolute error 3.9218628344883655e-14 relative error 2.681491385108752e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.270057463246748 y1[1] (closed_form) 1.5292093661430015 y1[1] (numeric) 1.5292093661430597 absolute error 5.81756864903582e-14 relative error 3.804298337322504e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.15150872321129738 y2[1] (numeric) 0.15150872321133718 absolute error 3.980149543281186e-14 relative error 2.6270101542142775e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.2800620080979455 y1[1] (closed_form) 1.537671509265432 y1[1] (numeric) 1.5376715092654898 absolute error 5.773159728050814e-14 relative error 3.7544818208986235e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.1568455965102047 y2[1] (numeric) 0.15684559651024507 absolute error 4.038436252074007e-14 relative error 2.5747845919354568e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.290066552949143 y1[1] (closed_form) 1.546079836801963 y1[1] (numeric) 1.546079836802021 absolute error 5.795364188543317e-14 relative error 3.74842491997756e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.16226686120319833 y2[1] (numeric) 0.16226686120323933 absolute error 4.0994985184283905e-14 relative error 2.5263929357053392e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.30007109780034 y1[1] (closed_form) 1.5544335071623954 y1[1] (numeric) 1.554433507162453 absolute error 5.773159728050814e-14 relative error 3.713995935786064e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.16777197467544624 y2[1] (numeric) 0.1677719746754878 absolute error 4.1550096696596484e-14 relative error 2.4765814896662488e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.310075642651538 y1[1] (closed_form) 1.5627316842271703 y1[1] (numeric) 1.562731684227228 absolute error 5.773159728050814e-14 relative error 3.694274446675636e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.17336038591968483 y2[1] (numeric) 0.17336038591972702 absolute error 4.218847493575595e-14 relative error 2.433570663329119e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.320080187502735 y1[1] (closed_form) 1.570973537431058 y1[1] (numeric) 1.5709735374311162 absolute error 5.81756864903582e-14 relative error 3.703161453979057e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.17903153559136986 y2[1] (numeric) 0.1790315355914127 absolute error 4.2826853174915414e-14 relative error 2.3921401910256453e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.330084732353932 y1[1] (closed_form) 1.5791582418462888 y1[1] (numeric) 1.5791582418463461 absolute error 5.728750807065808e-14 relative error 3.6277243503906113e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.184784856064661 y2[1] (numeric) 0.18478485606470435 absolute error 4.335420911161236e-14 relative error 2.3461992521963816e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.34008927720513 y1[1] (closed_form) 1.58728497826512 y1[1] (numeric) 1.5872849782651766 absolute error 5.6621374255882984e-14 relative error 3.567183904037783e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.19061977148923526 y2[1] (numeric) 0.1906197714892792 absolute error 4.393707619954057e-14 relative error 2.3049590216312793e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.350093822056327 y1[1] (closed_form) 1.5953529332818297 y1[1] (numeric) 1.5953529332818857 absolute error 5.595524044110789e-14 relative error 3.507389448051557e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.19653569784792468 y2[1] (numeric) 0.1965356978479691 absolute error 4.440892098500626e-14 relative error 2.2595854835170443e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.360098366907525 y1[1] (closed_form) 1.6033612993741322 y1[1] (numeric) 1.6033612993741877 absolute error 5.551115123125783e-14 relative error 3.4621735757827294e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.20253204301516992 y2[1] (numeric) 0.20253204301521494 absolute error 4.50195436485501e-14 relative error 2.2228356055825733e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.370102911758722 y1[1] (closed_form) 1.6113092749840023 y1[1] (numeric) 1.6113092749840565 absolute error 5.417888360170764e-14 relative error 3.362413686984179e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.20860820681628656 y2[1] (numeric) 0.2086082068163321 absolute error 4.554689958524705e-14 relative error 2.1833704570098e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.380107456609919 y1[1] (closed_form) 1.6191960645979027 y1[1] (numeric) 1.6191960645979562 absolute error 5.3512749786932545e-14 relative error 3.3048962356650396e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.21476358108753635 y2[1] (numeric) 0.21476358108758242 absolute error 4.6074255521943996e-14 relative error 2.145347702279392e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.390112001461117 y1[1] (closed_form) 1.6270208788264073 y1[1] (numeric) 1.6270208788264604 absolute error 5.306866057708248e-14 relative error 3.2617074106241123e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.2209975497369987 y2[1] (numeric) 0.2209975497370453 absolute error 4.6601611458640946e-14 relative error 2.1086935811777036e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.400116546312314 y1[1] (closed_form) 1.634782934483212 y1[1] (numeric) 1.634782934483265 absolute error 5.284661597215745e-14 relative error 3.2326380987616153e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.22730948880623503 y2[1] (numeric) 0.22730948880628218 absolute error 4.7156722970953524e-14 relative error 2.074560249051074e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.410121091163512 y1[1] (closed_form) 1.6424814546635238 y1[1] (numeric) 1.6424814546635762 absolute error 5.240252676230739e-14 relative error 3.1904486113691e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.23369876653274102 y2[1] (numeric) 0.23369876653278884 absolute error 4.782285678572862e-14 relative error 2.0463461358932193e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.420125636014709 y1[1] (closed_form) 1.6501156688218193 y1[1] (numeric) 1.6501156688218714 absolute error 5.218048215738236e-14 relative error 3.162231784311167e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.24016474341317984 y2[1] (numeric) 0.2401647434132283 absolute error 4.846123502488808e-14 relative error 2.0178330231226027e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.430130180865906 y1[1] (closed_form) 1.6576848128489712 y1[1] (numeric) 1.6576848128490225 absolute error 5.129230373768223e-14 relative error 3.0942132871163238e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.24670677226739002 y2[1] (numeric) 0.24670677226743906 absolute error 4.904410211281629e-14 relative error 1.9879511884521944e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.440134725717104 y1[1] (closed_form) 1.665188129148727 y1[1] (numeric) 1.6651881291487776 absolute error 5.062616992290714e-14 relative error 3.040267284921621e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.25332419830316155 y2[1] (numeric) 0.25332419830321107 absolute error 4.951594689828198e-14 relative error 1.95464733452051e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.450139270568301 y1[1] (closed_form) 1.6726248667135368 y1[1] (numeric) 1.6726248667135872 absolute error 5.040412531798211e-14 relative error 3.013474588418552e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.26001635918177435 y2[1] (numeric) 0.2600163591818245 absolute error 5.012656956182582e-14 relative error 1.9278236846160488e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.460143815419499 y1[1] (closed_form) 1.6799942811997215 y1[1] (numeric) 1.6799942811997706 absolute error 4.907185768843192e-14 relative error 2.9209538530922025e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.26678258508429176 y2[1] (numeric) 0.2667825850843424 absolute error 5.062616992290714e-14 relative error 1.8976564721011104e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.469986996644064 y1[1] (closed_form) 1.687178415098196 y1[1] (numeric) 1.6871784150982447 absolute error 4.8627768478581856e-14 relative error 2.88219479596363e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.27351130371964416 y2[1] (numeric) 0.273511303719695 absolute error 5.084821452783217e-14 relative error 1.859090057204833e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.479991541495261 y1[1] (closed_form) 1.69441209272577 y1[1] (numeric) 1.6944120927258182 absolute error 4.8183679268731794e-14 relative error 2.8436812671243146e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.28042245346577366 y2[1] (numeric) 0.2804224534658252 absolute error 5.156985949383852e-14 relative error 1.8390060730330487e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.4899960863464585 y1[1] (closed_form) 1.7015762665894627 y1[1] (numeric) 1.7015762665895107 absolute error 4.796163466380676e-14 relative error 2.8186591224581535e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.28740562578814066 y2[1] (numeric) 0.28740562578819256 absolute error 5.190292640122607e-14 relative error 1.8059119844608053e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.500000631197656 y1[1] (closed_form) 1.7086702196265184 y1[1] (numeric) 1.7086702196265664 absolute error 4.796163466380676e-14 relative error 2.8069567850424777e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.294460121740449 y2[1] (numeric) 0.2944601217405015 absolute error 5.2513549064769904e-14 relative error 1.7833840709696446e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.510005176048853 y1[1] (closed_form) 1.7156932418025908 y1[1] (numeric) 1.7156932418026385 absolute error 4.773959005888173e-14 relative error 2.7825248066329268e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.30158523523761427 y2[1] (numeric) 0.30158523523766717 absolute error 5.290212712338871e-14 relative error 1.7541351811108376e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.520009720900051 y1[1] (closed_form) 1.7226446301828076 y1[1] (numeric) 1.722644630182855 absolute error 4.75175454539567e-14 relative error 2.7584067323806724e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.30878025312643653 y2[1] (numeric) 0.30878025312649 absolute error 5.345723863570129e-14 relative error 1.731238901919421e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.530014265751248 y1[1] (closed_form) 1.7295236890021308 y1[1] (numeric) 1.729523689002178 absolute error 4.707345624410664e-14 relative error 2.7217583976121325e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.3160444552569792 y2[1] (numeric) 0.31604445525703306 absolute error 5.384581669432009e-14 relative error 1.7037418565226044e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.5400188106024455 y1[1] (closed_form) 1.736329729734993 y1[1] (numeric) 1.73632972973504 absolute error 4.6851411639181606e-14 relative error 2.6983015286118664e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.32337711455464946 y2[1] (numeric) 0.3233771145547037 absolute error 5.42343947529389e-14 relative error 1.6771253224777443e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.550023355453643 y1[1] (closed_form) 1.7430620711642137 y1[1] (numeric) 1.7430620711642595 absolute error 4.574118861455645e-14 relative error 2.6241858721649148e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.33077749709297055 y2[1] (numeric) 0.33077749709302534 absolute error 5.4789506265251475e-14 relative error 1.656385538519628e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.56002790030484 y1[1] (closed_form) 1.7497200394491814 y1[1] (numeric) 1.7497200394492276 absolute error 4.618527782440651e-14 relative error 2.6395810062817717e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.3382448621670415 y2[1] (numeric) 0.3382448621670969 absolute error 5.540012892879531e-14 relative error 1.637870522965581e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.570032445156038 y1[1] (closed_form) 1.756302968193299 y1[1] (numeric) 1.7563029681933453 absolute error 4.6407322429331543e-14 relative error 2.642330125825076e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.3457784623676733 y2[1] (numeric) 0.34577846236772924 absolute error 5.595524044110789e-14 relative error 1.618239610933591e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.580036990007235 y1[1] (closed_form) 1.762810198510683 y1[1] (numeric) 1.7628101985107296 absolute error 4.6629367034256575e-14 relative error 2.6451722978260266e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.3533775436561979 y2[1] (numeric) 0.3533775436562542 absolute error 5.6288307348495437e-14 relative error 1.5928659972592516e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.5900415348584325 y1[1] (closed_form) 1.7692410790921125 y1[1] (numeric) 1.769241079092159 absolute error 4.6629367034256575e-14 relative error 2.6355575611088837e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.3610413454399397 y2[1] (numeric) 0.3610413454399964 absolute error 5.667688540711424e-14 relative error 1.5698170340588488e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.60004607970963 y1[1] (closed_form) 1.7755949662702168 y1[1] (numeric) 1.7755949662702637 absolute error 4.6851411639181606e-14 relative error 2.6386316997505826e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.36876910064834334 y2[1] (numeric) 0.36876910064840035 absolute error 5.700995231450179e-14 relative error 1.5459525273205098e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.610050624560827 y1[1] (closed_form) 1.7818712240839023 y1[1] (numeric) 1.781871224083949 absolute error 4.6629367034256575e-14 relative error 2.616876371536317e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.37656003580974995 y2[1] (numeric) 0.3765600358098073 absolute error 5.734301922188934e-14 relative error 1.522812135349935e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.620055169412025 y1[1] (closed_form) 1.7880692243420042 y1[1] (numeric) 1.78806922434205 absolute error 4.574118861455645e-14 relative error 2.558132984554267e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.3844133711288137 y2[1] (numeric) 0.38441337112887164 absolute error 5.795364188543317e-14 relative error 1.507586526328539e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.630059714263222 y1[1] (closed_form) 1.794188346686164 y1[1] (numeric) 1.7941883466862092 absolute error 4.529709940470639e-14 relative error 2.524656872750811e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.39232832056455225 y2[1] (numeric) 0.3923283205646107 absolute error 5.845324224651449e-14 relative error 1.489906264283993e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.640064259114419 y1[1] (closed_form) 1.8002279786529185 y1[1] (numeric) 1.8002279786529636 absolute error 4.5075054799781356e-14 relative error 2.503852586132468e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.4003040919090207 y2[1] (numeric) 0.4003040919090796 absolute error 5.889733145636455e-14 relative error 1.471314749132029e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.650068803965617 y1[1] (closed_form) 1.8061875157350045 y1[1] (numeric) 1.806187515735049 absolute error 4.463096558993129e-14 relative error 2.471003990511434e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.4083398868666047 y2[1] (numeric) 0.4083398868666641 absolute error 5.939693181744587e-14 relative error 1.4545953929024203e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.660073348816814 y1[1] (closed_form) 1.8120663614418613 y1[1] (numeric) 1.812066361441906 absolute error 4.463096558993129e-14 relative error 2.462987368432712e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.41643490113392123 y2[1] (numeric) 0.4164349011339814 absolute error 6.017408793468348e-14 relative error 1.444981863211607e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.670077893668012 y1[1] (closed_form) 1.8178639273593356 y1[1] (numeric) 1.8178639273593786 absolute error 4.3076653355456074e-14 relative error 2.3696302405884723e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.4245883244803218 y2[1] (numeric) 0.4245883244803825 absolute error 6.06736882957648e-14 relative error 1.4290003939704852e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.680082438519209 y1[1] (closed_form) 1.8235796332085743 y1[1] (numeric) 1.823579633208617 absolute error 4.263256414560601e-14 relative error 2.337850421733124e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.4327993408289882 y2[1] (numeric) 0.4327993408290491 absolute error 6.089573290068984e-14 relative error 1.407020001094492e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.690086983370406 y1[1] (closed_form) 1.8292129069041054 y1[1] (numeric) 1.8292129069041478 absolute error 4.241051954068098e-14 relative error 2.3185119337726336e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.44106712833861406 y2[1] (numeric) 0.4410671283386753 absolute error 6.122879980807738e-14 relative error 1.388196849733746e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.700091528221604 y1[1] (closed_form) 1.8347631846110983 y1[1] (numeric) 1.8347631846111396 absolute error 4.1300296516055823e-14 relative error 2.250987858403642e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.4493908594856626 y2[1] (numeric) 0.44939085948572427 absolute error 6.167288901792745e-14 relative error 1.3723663424866581e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.710096073072801 y1[1] (closed_form) 1.8402299108017974 y1[1] (numeric) 1.8402299108018383 absolute error 4.085620730620576e-14 relative error 2.220168635798584e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.45776970114719395 y2[1] (numeric) 0.45776970114725596 absolute error 6.200595592531499e-14 relative error 1.354522935221028e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.720100617923999 y1[1] (closed_form) 1.8456125383111257 y1[1] (numeric) 1.8456125383111657 absolute error 3.9968028886505635e-14 relative error 2.165569861325248e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.46620281468425206 y2[1] (numeric) 0.4662028146843147 absolute error 6.261657858885883e-14 relative error 1.3431188447729027e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.730105162775196 y1[1] (closed_form) 1.8509105283914495 y1[1] (numeric) 1.8509105283914886 absolute error 3.907985046680551e-14 relative error 2.111385173262168e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.4746893560258044 y2[1] (numeric) 0.4746893560258676 absolute error 6.317169010117141e-14 relative error 1.3308006446585954e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.740109707626393 y1[1] (closed_form) 1.8561233507665031 y1[1] (numeric) 1.8561233507665422 absolute error 3.907985046680551e-14 relative error 2.1054554618186948e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.48322847575322536 y2[1] (numeric) 0.48322847575328876 absolute error 6.339373470609644e-14 relative error 1.3118791190291999e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.750114252477591 y1[1] (closed_form) 1.8612504836844632 y1[1] (numeric) 1.8612504836845023 absolute error 3.907985046680551e-14 relative error 2.099655624504901e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.49181931918531385 y2[1] (numeric) 0.49181931918537775 absolute error 6.389333506717776e-14 relative error 1.2991221079524781e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.760118797328788 y1[1] (closed_form) 1.8662914139701714 y1[1] (numeric) 1.8662914139702107 absolute error 3.930189507173054e-14 relative error 2.1058820062898655e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.5004610264638394 y2[1] (numeric) 0.5004610264639039 absolute error 6.45039577307216e-14 relative error 1.2888907291441664e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.770123342179986 y1[1] (closed_form) 1.8712456370764978 y1[1] (numeric) 1.8712456370765362 absolute error 3.8413716652030416e-14 relative error 2.0528420155488136e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.5091527326396044 y2[1] (numeric) 0.5091527326396698 absolute error 6.539213615042172e-14 relative error 1.2843324204784048e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.780127887031183 y1[1] (closed_form) 1.8761126571348408 y1[1] (numeric) 1.87611265713488 absolute error 3.930189507173054e-14 relative error 2.094857945884314e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.517893567759018 y2[1] (numeric) 0.5178935677590836 absolute error 6.561418075534675e-14 relative error 1.2669433420319638e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.79013243188238 y1[1] (closed_form) 1.8808919870047605 y1[1] (numeric) 1.8808919870047989 absolute error 3.8413716652030416e-14 relative error 2.0423138020382875e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.5266826569511688 y2[1] (numeric) 0.526682656951235 absolute error 6.616929226765933e-14 relative error 1.2563408229672197e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.800136976733578 y1[1] (closed_form) 1.8855831483227337 y1[1] (numeric) 1.885583148322772 absolute error 3.8413716652030416e-14 relative error 2.0372327089473745e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.5355191205153917 y2[1] (numeric) 0.535519120515459 absolute error 6.727951529228449e-14 relative error 1.2563419813569618e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.810141521584775 y1[1] (closed_form) 1.8901856715500358 y1[1] (numeric) 1.8901856715500729 absolute error 3.708144902248023e-14 relative error 1.961788705766233e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.5444020740093168 y2[1] (numeric) 0.5444020740093845 absolute error 6.761258219967203e-14 relative error 1.2419604080809384e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.81998470280934 y1[1] (closed_form) 1.8946270081821452 y1[1] (numeric) 1.8946270081821819 absolute error 3.6637359812630166e-14 relative error 1.9337505300203096e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.5531862622623787 y2[1] (numeric) 0.5531862622624466 absolute error 6.794564910705958e-14 relative error 1.2282598781318373e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.829989247660538 y1[1] (closed_form) 1.8990523300456312 y1[1] (numeric) 1.8990523300456668 absolute error 3.552713678800501e-14 relative error 1.870782401617724e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.5621588097956962 y2[1] (numeric) 0.5621588097957643 absolute error 6.80566714095221e-14 relative error 1.2106307012115622e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.839993792511735 y1[1] (closed_form) 1.9033876656869317 y1[1] (numeric) 1.903387665686967 absolute error 3.530509218307998e-14 relative error 1.854855572489926e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.571175180890009 y2[1] (numeric) 0.5711751808900771 absolute error 6.816769371198461e-14 relative error 1.1934638617484264e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.8499983373629325 y1[1] (closed_form) 1.907632581181943 y1[1] (numeric) 1.9076325811819783 absolute error 3.530509218307998e-14 relative error 1.850728097818786e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.5802344730959873 y2[1] (numeric) 0.5802344730960558 absolute error 6.850076061937216e-14 relative error 1.1805703348487565e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.86000288221413 y1[1] (closed_form) 1.9117866516567221 y1[1] (numeric) 1.9117866516567565 absolute error 3.441691376337985e-14 relative error 1.8002486696700562e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.5893357796683241 y2[1] (numeric) 0.5893357796683929 absolute error 6.88338275267597e-14 relative error 1.1679899626236696e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.870007427065327 y1[1] (closed_form) 1.9158494613300106 y1[1] (numeric) 1.9158494613300447 absolute error 3.419486915845482e-14 relative error 1.784841129151987e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.5984781896564902 y2[1] (numeric) 0.5984781896565593 absolute error 6.905587213168474e-14 relative error 1.1538577900611696e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.880011971916525 y1[1] (closed_form) 1.919820603554852 y1[1] (numeric) 1.9198206035548864 absolute error 3.441691376337985e-14 relative error 1.7927150953402358e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.607660787995913 y2[1] (numeric) 0.6076607879959827 absolute error 6.961098364399732e-14 relative error 1.1455566167693134e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.890016516767722 y1[1] (closed_form) 1.9236996808592919 y1[1] (numeric) 1.9236996808593254 absolute error 3.352873534367973e-14 relative error 1.7429298178550861e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.6168826555995641 y2[1] (numeric) 0.616882655599634 absolute error 6.983302824892235e-14 relative error 1.1320309886334838e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.9000210616189195 y1[1] (closed_form) 1.9274863049861617 y1[1] (numeric) 1.9274863049861943 absolute error 3.26405569239796e-14 relative error 1.6934261395031776e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.6261428694499509 y2[1] (numeric) 0.6261428694500208 absolute error 6.994405055138486e-14 relative error 1.1170621588780331e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.910025606470117 y1[1] (closed_form) 1.931180096931939 y1[1] (numeric) 1.9311800969319715 absolute error 3.241851231905457e-14 relative error 1.6786892310332827e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.6354405026915022 y2[1] (numeric) 0.6354405026915724 absolute error 7.016609515630989e-14 relative error 1.1042118791470015e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.920030151321314 y1[1] (closed_form) 1.934780686984682 y1[1] (numeric) 1.934780686984714 absolute error 3.197442310920451e-14 relative error 1.6526122740575845e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.6447746247233367 y2[1] (numeric) 0.6447746247234073 absolute error 7.061018436615996e-14 relative error 1.0951141943040602e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.930034696172512 y1[1] (closed_form) 1.9382877147610336 y1[1] (numeric) 1.938287714761065 absolute error 3.1530333899354446e-14 relative error 1.6267107127200535e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.6541443012924071 y2[1] (numeric) 0.6541443012924775 absolute error 7.038813976123492e-14 relative error 1.0760338295719699e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.940039241023709 y1[1] (closed_form) 1.9417008292422935 y1[1] (numeric) 1.9417008292423241 absolute error 3.064215547965432e-14 relative error 1.5781089969257393e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.6635485945870094 y2[1] (numeric) 0.6635485945870803 absolute error 7.083222897108499e-14 relative error 1.0674761358687037e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.9500437858749065 y1[1] (closed_form) 1.9450196888095508 y1[1] (numeric) 1.9450196888095799 absolute error 2.90878432451791e-14 relative error 1.4955037942563099e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.6729865633306488 y2[1] (numeric) 0.6729865633307202 absolute error 7.138734048339757e-14 relative error 1.0607543207118068e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.960048330726104 y1[1] (closed_form) 1.9482439612778761 y1[1] (numeric) 1.9482439612779048 absolute error 2.864375403532904e-14 relative error 1.4702344575235466e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.682457262876252 y2[1] (numeric) 0.6824572628763237 absolute error 7.172040739078511e-14 relative error 1.0509142666093945e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.970052875577301 y1[1] (closed_form) 1.9513733239295712 y1[1] (numeric) 1.9513733239295985 absolute error 2.731148640577885e-14 relative error 1.3996033496440568e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.6919597453007169 y2[1] (numeric) 0.6919597453007885 absolute error 7.16093850883226e-14 relative error 1.0348779040202992e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.980057420428499 y1[1] (closed_form) 1.954407463546469 y1[1] (numeric) 1.9544074635464952 absolute error 2.6201263381153694e-14 relative error 1.340624402529085e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.7014930594997906 y2[1] (numeric) 0.7014930594998623 absolute error 7.172040739078511e-14 relative error 1.0223965357822121e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 5.990061965279696 y1[1] (closed_form) 1.9573460764412838 y1[1] (numeric) 1.9573460764413086 absolute error 2.4868995751603507e-14 relative error 1.2705466882391416e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.7110562512832652 y2[1] (numeric) 0.7110562512833372 absolute error 7.194245199571014e-14 relative error 1.0117687857447758e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.000066510130893 y1[1] (closed_form) 1.9601888684880078 y1[1] (numeric) 1.9601888684880306 absolute error 2.2870594307278225e-14 relative error 1.166754626298815e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.720648363470483 y2[1] (numeric) 0.7206483634705553 absolute error 7.227551890309769e-14 relative error 1.0029235139733723e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.010071054982091 y1[1] (closed_form) 1.9629355551513492 y1[1] (numeric) 1.9629355551513716 absolute error 2.2426505097428162e-14 relative error 1.1424982872501384e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.7302684359861406 y2[1] (numeric) 0.730268435986213 absolute error 7.249756350802272e-14 relative error 9.927522529454993e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.020075599833288 y1[1] (closed_form) 1.9655858615152129 y1[1] (numeric) 1.9655858615152348 absolute error 2.19824158875781e-14 relative error 1.1183645709901726e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.739915505956383 y2[1] (numeric) 0.7399155059564556 absolute error 7.260858581048524e-14 relative error 9.813091525448503e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.030080144684486 y1[1] (closed_form) 1.968139522310215 y1[1] (numeric) 1.9681395223102356 absolute error 2.0650148258027912e-14 relative error 1.0492217662388403e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.7495886078051779 y2[1] (numeric) 0.7495886078052507 absolute error 7.283063041541027e-14 relative error 9.716080214807553e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.040084689535683 y1[1] (closed_form) 1.9705962819402347 y1[1] (numeric) 1.9705962819402552 absolute error 2.042810365310288e-14 relative error 1.036645803116482e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 0.7592867733509598 y2[1] (numeric) 0.7592867733510331 absolute error 7.327471962526033e-14 relative error 9.650467016813299e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.05008923438688 y1[1] (closed_form) 1.972955894507998 y1[1] (numeric) 1.972955894508017 absolute error 1.9095836023552692e-14 relative error 9.678795190864963e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 y2[1] (closed_form) 0.7690090319035362 y2[1] (numeric) 0.7690090319036091 absolute error 7.294165271787278e-14 relative error 9.485149028395615e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.060093779238078 y1[1] (closed_form) 1.9752181238396869 y1[1] (numeric) 1.9752181238397055 absolute error 1.865174681370263e-14 relative error 9.442879542561573e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 y2[1] (closed_form) 0.7787544103612429 y2[1] (numeric) 0.7787544103613164 absolute error 7.349676423018536e-14 relative error 9.437733289509361e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.070098324089275 y1[1] (closed_form) 1.9773827435085802 y1[1] (numeric) 1.9773827435085976 absolute error 1.7319479184152442e-14 relative error 8.758789486258754e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 y2[1] (closed_form) 0.7885219333083431 y2[1] (numeric) 0.7885219333084168 absolute error 7.37188088351104e-14 relative error 9.34898646709976e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.080102868940473 y1[1] (closed_form) 1.9794495368577163 y1[1] (numeric) 1.9794495368577327 absolute error 1.6431300764452317e-14 relative error 8.300944509318606e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 y2[1] (closed_form) 0.7983106231126559 y2[1] (numeric) 0.7983106231127298 absolute error 7.394085344003543e-14 relative error 9.262165791022055e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.09010741379167 y1[1] (closed_form) 1.9814182970215772 y1[1] (numeric) 1.9814182970215928 absolute error 1.554312234475219e-14 relative error 7.844442724747348e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 y2[1] (closed_form) 0.8081195000234078 y2[1] (numeric) 0.808119500023482 absolute error 7.416289804496046e-14 relative error 9.17721921607043e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.100111958642867 y1[1] (closed_form) 1.9832888269467956 y1[1] (numeric) 1.9832888269468105 absolute error 1.4876988529977098e-14 relative error 7.501170947894516e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 y2[1] (closed_form) 0.8179475822692964 y2[1] (numeric) 0.8179475822693706 absolute error 7.416289804496046e-14 relative error 9.066949967527808e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.110116503494065 y1[1] (closed_form) 1.9850609394118761 y1[1] (numeric) 1.985060939411889 absolute error 1.2878587085651816e-14 relative error 6.48775401800381e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 y2[1] (closed_form) 0.8277938861567558 y2[1] (numeric) 0.8277938861568301 absolute error 7.438494264988549e-14 relative error 8.985925590153432e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.120121048345262 y1[1] (closed_form) 1.986734457045935 y1[1] (numeric) 1.9867344570459469 absolute error 1.176836406102666e-14 relative error 5.92347106040783e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 y2[1] (closed_form) 0.837657426168414 y2[1] (numeric) 0.8376574261684884 absolute error 7.438494264988549e-14 relative error 8.880114988072717e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.1301255931964596 y1[1] (closed_form) 1.9883092123464539 y1[1] (numeric) 1.988309212346465 absolute error 1.1102230246251565e-14 relative error 5.583754366429527e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 y2[1] (closed_form) 0.8475372150617343 y2[1] (numeric) 0.847537215061809 absolute error 7.471800955727304e-14 relative error 8.815897193591741e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.140130138047657 y1[1] (closed_form) 1.9897850476960444 y1[1] (numeric) 1.9897850476960548 absolute error 1.0436096431476471e-14 relative error 5.24483609099402e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 y2[1] (closed_form) 0.857432263967828 y2[1] (numeric) 0.8574322639679031 absolute error 7.505107646466058e-14 relative error 8.753003545417856e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.150134682898854 y1[1] (closed_form) 1.991161815378224 y1[1] (numeric) 1.991161815378235 absolute error 1.0880185641326534e-14 relative error 5.464239800751617e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 y2[1] (closed_form) 0.8673415824904307 y2[1] (numeric) 0.8673415824905056 absolute error 7.494005416219807e-14 relative error 8.640200778454533e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.160139227750052 y1[1] (closed_form) 1.9924393775922016 y1[1] (numeric) 1.9924393775922113 absolute error 9.769962616701378e-15 relative error 4.903518132886965e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 y2[1] (closed_form) 0.8772641788050303 y2[1] (numeric) 0.877264178805105 absolute error 7.471800955727304e-14 relative error 8.517161803990508e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.170143772601249 y1[1] (closed_form) 1.9936176064666689 y1[1] (numeric) 1.9936176064666784 absolute error 9.547918011776346e-15 relative error 4.789242420816259e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 y2[1] (closed_form) 0.8871990597581398 y2[1] (numeric) 0.8871990597582147 absolute error 7.482903185973555e-14 relative error 8.434300176122229e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.179986953825814 y1[1] (closed_form) 1.9946797741040636 y1[1] (numeric) 1.9946797741040718 absolute error 8.215650382226158e-15 relative error 4.1187816154181063e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 y2[1] (closed_form) 0.8969847244905441 y2[1] (numeric) 0.8969847244906186 absolute error 7.4495964952348e-14 relative error 8.305154248268731e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.189991498677012 y1[1] (closed_form) 1.9956605990652185 y1[1] (numeric) 1.995660599065226 absolute error 7.549516567451064e-15 relative error 3.7829661872300887e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 y2[1] (closed_form) 0.9069410323016086 y2[1] (numeric) 0.9069410323016835 absolute error 7.494005416219807e-14 relative error 8.262946706911846e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.199996043528209 y1[1] (closed_form) 1.9965417682745392 y1[1] (numeric) 1.9965417682745472 absolute error 7.993605777301127e-15 relative error 4.003725794431738e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 y2[1] (closed_form) 0.9169066543924584 y2[1] (numeric) 0.9169066543925333 absolute error 7.482903185973555e-14 relative error 8.1610305150765e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.2100005883794065 y1[1] (closed_form) 1.997323193535727 y1[1] (numeric) 1.997323193535734 absolute error 7.105427357601002e-15 relative error 3.5574750148586326e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 y2[1] (closed_form) 0.926880593303153 y2[1] (numeric) 0.9268805933032279 absolute error 7.494005416219807e-14 relative error 8.085189689335482e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.220005133230604 y1[1] (closed_form) 1.998004796635862 y1[1] (numeric) 1.998004796635868 absolute error 5.995204332975845e-15 relative error 3.0005955656714453e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 y2[1] (closed_form) 0.9368618507413206 y2[1] (numeric) 0.9368618507413956 absolute error 7.505107646466058e-14 relative error 8.01090111688016e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.230009678081801 y1[1] (closed_form) 1.9985865093532342 y1[1] (numeric) 1.998586509353239 absolute error 4.6629367034256575e-15 relative error 2.3331172714333183e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 y2[1] (closed_form) 0.9468494276820772 y2[1] (numeric) 0.9468494276821523 absolute error 7.505107646466058e-14 relative error 7.926400362134497e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.240014222932999 y1[1] (closed_form) 1.9990682734641694 y1[1] (numeric) 1.9990682734641732 absolute error 3.774758283725532e-15 relative error 1.8882588122837265e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 y2[1] (closed_form) 0.95684232446802 y2[1] (numeric) 0.9568423244680953 absolute error 7.527312106958561e-14 relative error 7.866826032328321e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.250018767784196 y1[1] (closed_form) 1.9994500407488576 y1[1] (numeric) 1.9994500407488607 absolute error 3.1086244689504383e-15 relative error 1.5547397562312483e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 y2[1] (closed_form) 0.9668395409092816 y2[1] (numeric) 0.9668395409093566 absolute error 7.505107646466058e-14 relative error 7.762516248981444e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.2600233126353935 y1[1] (closed_form) 1.9997317729961794 y1[1] (numeric) 1.9997317729961819 absolute error 2.4424906541753444e-15 relative error 1.221409134543971e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 y2[1] (closed_form) 0.9768400763836403 y2[1] (numeric) 0.9768400763837156 absolute error 7.527312106958561e-14 relative error 7.705777321120387e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.270027857486591 y1[1] (closed_form) 1.9999134420075313 y1[1] (numeric) 1.9999134420075335 absolute error 2.220446049250313e-15 relative error 1.1102710760428758e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 y2[1] (closed_form) 0.9868429299366722 y2[1] (numeric) 0.9868429299367475 absolute error 7.527312106958561e-14 relative error 7.627669894176173e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.280032402337788 y1[1] (closed_form) 1.999995029599647 y1[1] (numeric) 1.9999950295996483 absolute error 1.3322676295501878e-15 relative error 6.661354702550822e-14% Desired digits 8 Estimated correct digits 11 Correct digits 16 h 0.00016136362663221634 y2[1] (closed_form) 0.9968471003819366 y2[1] (numeric) 0.9968471003820124 absolute error 7.582823258189819e-14 relative error 7.60680675630646e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.290036947188986 y1[1] (closed_form) 1.999976527606417 y1[1] (numeric) 1.9999765276064172 absolute error 2.220446049250313e-16 relative error 1.1102360545739781e-14% Desired digits 8 Estimated correct digits 11 Correct digits 16 h 0.00016136362663221634 y2[1] (closed_form) 1.0068515864011849 y2[1] (numeric) 1.0068515864012608 absolute error 7.593925488436071e-14 relative error 7.542249116952013e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.300041492040183 y1[1] (closed_form) 1.9998579378797077 y1[1] (numeric) 1.9998579378797077 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 11 Correct digits 16 h 0.00016136362663221634 y2[1] (closed_form) 1.0168553866445829 y2[1] (numeric) 1.016855386644659 absolute error 7.616129948928574e-14 relative error 7.489885040645025e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.31004603689138 y1[1] (closed_form) 1.999639272289175 y1[1] (numeric) 1.9996392722891745 absolute error 4.440892098500626e-16 relative error 2.22084660970712e-14% Desired digits 8 Estimated correct digits 11 Correct digits 16 h 0.00016136362663221634 y2[1] (closed_form) 1.0268574998309352 y2[1] (numeric) 1.0268574998310105 absolute error 7.527312106958561e-14 relative error 7.330434951488283e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.320050581742578 y1[1] (closed_form) 1.9993205527210756 y1[1] (numeric) 1.9993205527210738 absolute error 1.7763568394002505e-15 relative error 8.884802574467754e-14% Desired digits 8 Estimated correct digits 11 Correct digits 16 h 0.00016136362663221634 y2[1] (closed_form) 1.036856924847905 y2[1] (numeric) 1.0368569248479804 absolute error 7.549516567451064e-14 relative error 7.281155564022e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.330055126593775 y1[1] (closed_form) 1.9989018110760775 y1[1] (numeric) 1.9989018110760748 absolute error 2.6645352591003757e-15 relative error 1.3329995722330978e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 y2[1] (closed_form) 1.0468526608522137 y2[1] (numeric) 1.0468526608522892 absolute error 7.549516567451064e-14 relative error 7.211632400404095e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.340059671444973 y1[1] (closed_form) 1.9983830892660666 y1[1] (numeric) 1.998383089266064 absolute error 2.6645352591003757e-15 relative error 1.3333455799403119e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 y2[1] (closed_form) 1.0568437073698167 y2[1] (numeric) 1.0568437073698917 absolute error 7.505107646466058e-14 relative error 7.101435712896598e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.35006421629617 y1[1] (closed_form) 1.997764439209952 y1[1] (numeric) 1.9977644392099487 absolute error 3.3306690738754696e-15 relative error 1.6671980982866208e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 y2[1] (closed_form) 1.0668290643960405 y2[1] (numeric) 1.0668290643961147 absolute error 7.416289804496046e-14 relative error 6.951713308162071e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.360068761147367 y1[1] (closed_form) 1.9970459228284687 y1[1] (numeric) 1.9970459228284656 absolute error 3.1086244689504383e-15 relative error 1.556611409590227e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 y2[1] (closed_form) 1.0768077324956733 y2[1] (numeric) 1.0768077324957468 absolute error 7.349676423018536e-14 relative error 6.825430577085931e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.370073305998565 y1[1] (closed_form) 1.9962276120379814 y1[1] (numeric) 1.9962276120379774 absolute error 3.9968028886505635e-15 relative error 2.002177940305195e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 y2[1] (closed_form) 1.0867787129029984 y2[1] (numeric) 1.0867787129030717 absolute error 7.327471962526033e-14 relative error 6.7423771514192826e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.380077850849762 y1[1] (closed_form) 1.9953095887432846 y1[1] (numeric) 1.99530958874328 absolute error 4.6629367034256575e-15 relative error 2.3369489776083005e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 y2[1] (closed_form) 1.096741007621761 y2[1] (numeric) 1.0967410076218347 absolute error 7.37188088351104e-14 relative error 6.721624186822984e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.39008239570096 y1[1] (closed_form) 1.9942919448294059 y1[1] (numeric) 1.994291944829401 absolute error 4.884981308350689e-15 relative error 2.449481542066077e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 y2[1] (closed_form) 1.1066936195250572 y2[1] (numeric) 1.10669361952513 absolute error 7.283063041541027e-14 relative error 6.580920783356994e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.400086940552157 y1[1] (closed_form) 1.9931747821524088 y1[1] (numeric) 1.9931747821524035 absolute error 5.329070518200751e-15 relative error 2.673659413072617e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 y2[1] (closed_form) 1.1166355524551375 y2[1] (numeric) 1.1166355524552103 absolute error 7.283063041541027e-14 relative error 6.522327742053185e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.410091485403354 y1[1] (closed_form) 1.9919582125291986 y1[1] (numeric) 1.991958212529193 absolute error 5.551115123125783e-15 relative error 2.7867628388034837e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 y2[1] (closed_form) 1.1265658113231112 y2[1] (numeric) 1.1265658113231842 absolute error 7.30526750203353e-14 relative error 6.484545712827691e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.420096030254552 y1[1] (closed_form) 1.9906423577263292 y1[1] (numeric) 1.9906423577263235 absolute error 5.773159728050814e-15 relative error 2.900149143136288e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 y2[1] (closed_form) 1.1364834022085457 y2[1] (numeric) 1.1364834022086194 absolute error 7.37188088351104e-14 relative error 6.486571532136017e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.430100575105749 y1[1] (closed_form) 1.989227349447817 y1[1] (numeric) 1.98922734944781 absolute error 6.8833827526759706e-15 relative error 3.460329838410228e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 y2[1] (closed_form) 1.146387332458948 y2[1] (numeric) 1.1463873324590212 absolute error 7.327471962526033e-14 relative error 6.39179425230471e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.440105119956947 y1[1] (closed_form) 1.987713329321958 y1[1] (numeric) 1.9877133293219509 absolute error 7.105427357601002e-15 relative error 3.574674100527756e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 y2[1] (closed_form) 1.1562766107891185 y2[1] (numeric) 1.156276610789192 absolute error 7.349676423018536e-14 relative error 6.356330617119928e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.450109664808144 y1[1] (closed_form) 1.9861004488871514 y1[1] (numeric) 1.986100448887144 absolute error 7.327471962526033e-15 relative error 3.689376318620617e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 y2[1] (closed_form) 1.1661502473803704 y2[1] (numeric) 1.1661502473804444 absolute error 7.394085344003543e-14 relative error 6.3405940706298785e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.460114209659341 y1[1] (closed_form) 1.9843888695767342 y1[1] (numeric) 1.9843888695767264 absolute error 7.771561172376096e-15 relative error 3.916349910808436e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 y2[1] (closed_form) 1.1760072539795992 y2[1] (numeric) 1.176007253979673 absolute error 7.394085344003543e-14 relative error 6.287448754233459e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.470118754510539 y1[1] (closed_form) 1.982578762702821 y1[1] (numeric) 1.9825787627028133 absolute error 7.771561172376096e-15 relative error 3.9199255628973036e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 y2[1] (closed_form) 1.185846643998198 y2[1] (numeric) 1.1858466439982724 absolute error 7.438494264988549e-14 relative error 6.272728689359812e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.480123299361736 y1[1] (closed_form) 1.9806703094391591 y1[1] (numeric) 1.9806703094391505 absolute error 8.659739592076221e-15 relative error 4.3721257146164257e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 y2[1] (closed_form) 1.1956674326108048 y2[1] (numeric) 1.1956674326108796 absolute error 7.482903185973555e-14 relative error 6.258348251264342e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.4901278442129335 y1[1] (closed_form) 1.9786637008029935 y1[1] (numeric) 1.9786637008029833 absolute error 1.021405182655144e-14 relative error 5.162095924843778e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 y2[1] (closed_form) 1.2054686368538738 y2[1] (numeric) 1.205468636853949 absolute error 7.505107646466058e-14 relative error 6.225883790766614e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.500132389064131 y1[1] (closed_form) 1.9765591376359484 y1[1] (numeric) 1.9765591376359364 absolute error 1.199040866595169e-14 relative error 6.066304031911105e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 y2[1] (closed_form) 1.2152492757240605 y2[1] (numeric) 1.215249275724136 absolute error 7.549516567451064e-14 relative error 6.2123193309067965e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.510136933915328 y1[1] (closed_form) 1.9743568305839263 y1[1] (numeric) 1.9743568305839123 absolute error 1.3988810110276972e-14 relative error 7.085249177647239e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 y2[1] (closed_form) 1.22500837027641 y2[1] (numeric) 1.2250083702764858 absolute error 7.571721027943568e-14 relative error 6.180954523792429e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.520141478766526 y1[1] (closed_form) 1.9720570000760218 y1[1] (numeric) 1.9720570000760071 absolute error 1.4654943925052066e-14 relative error 7.431298347100071e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 y2[1] (closed_form) 1.2347449437223408 y2[1] (numeric) 1.2347449437224158 absolute error 7.505107646466058e-14 relative error 6.07826554352244e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.529984659991091 y1[1] (closed_form) 1.9696993103110945 y1[1] (numeric) 1.969699310311079 absolute error 1.554312234475219e-14 relative error 7.891114274847012e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 y2[1] (closed_form) 1.2443015505112227 y2[1] (numeric) 1.244301550511298 absolute error 7.527312106958561e-14 relative error 6.049427571528747e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.539989204842288 y1[1] (closed_form) 1.9672066966219037 y1[1] (numeric) 1.9672066966218869 absolute error 1.687538997430238e-14 relative error 8.578351224241396e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 y2[1] (closed_form) 1.2539905628359929 y2[1] (numeric) 1.253990562836068 absolute error 7.505107646466058e-14 relative error 5.9849793681801716e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.549993749693486 y1[1] (closed_form) 1.9646172751343314 y1[1] (numeric) 1.964617275134314 absolute error 1.7319479184152442e-14 relative error 8.815701359934451e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 y2[1] (closed_form) 1.26365415322429 y2[1] (numeric) 1.2636541532243648 absolute error 7.482903185973555e-14 relative error 5.9216385803666894e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.559998294544683 y1[1] (closed_form) 1.9619313050237888 y1[1] (numeric) 1.9619313050237706 absolute error 1.8207657603852567e-14 relative error 9.28047661874267e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 y2[1] (closed_form) 1.2732913544465516 y2[1] (numeric) 1.2732913544466262 absolute error 7.460698725481052e-14 relative error 5.859380651118861e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.5700028393958805 y1[1] (closed_form) 1.9591490551292465 y1[1] (numeric) 1.9591490551292274 absolute error 1.9095836023552692e-14 relative error 9.747005197770889e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 y2[1] (closed_form) 1.282901201914509 y2[1] (numeric) 1.282901201914584 absolute error 7.505107646466058e-14 relative error 5.8501057098286125e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.580007384247078 y1[1] (closed_form) 1.9562708039263268 y1[1] (numeric) 1.9562708039263066 absolute error 2.020605904817785e-14 relative error 1.0328866027966755e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.2924827337777332 y2[1] (numeric) 1.292482733777808 absolute error 7.482903185973555e-14 relative error 5.7895575626779565e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.590011929098275 y1[1] (closed_form) 1.9532968394994317 y1[1] (numeric) 1.9532968394994101 absolute error 2.1538326677728037e-14 relative error 1.1026653113946384e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.3020349910199065 y2[1] (numeric) 1.3020349910199807 absolute error 7.416289804496046e-14 relative error 5.695922041762286e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.600016473949473 y1[1] (closed_form) 1.9502274595129063 y1[1] (numeric) 1.9502274595128837 absolute error 2.2648549702353193e-14 relative error 1.161328623073021e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.31155701755481 y2[1] (numeric) 1.3115570175548845 absolute error 7.460698725481052e-14 relative error 5.688428810659213e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.61002101880067 y1[1] (closed_form) 1.947062971181248 y1[1] (numeric) 1.9470629711812246 absolute error 2.3314683517128287e-14 relative error 1.1974283247235548e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.321047860322019 y2[1] (numeric) 1.3210478603220936 absolute error 7.460698725481052e-14 relative error 5.647561265238664e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.6200255636518675 y1[1] (closed_form) 1.9438036912383558 y1[1] (numeric) 1.943803691238332 absolute error 2.375877272697835e-14 relative error 1.222282519272414e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.3305065693822953 y2[1] (numeric) 1.3305065693823697 absolute error 7.438494264988549e-14 relative error 5.590723440352471e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.630030108503065 y1[1] (closed_form) 1.9404499459058298 y1[1] (numeric) 1.9404499459058049 absolute error 2.4868995751603507e-14 relative error 1.281609752628497e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.339932198012665 y2[1] (numeric) 1.3399321980127394 absolute error 7.438494264988549e-14 relative error 5.551396015426028e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.640034653354262 y1[1] (closed_form) 1.9370020708603175 y1[1] (numeric) 1.937002070860291 absolute error 2.6423307986078726e-14 relative error 1.364134214598069e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.3493238028011783 y2[1] (numeric) 1.3493238028012517 absolute error 7.349676423018536e-14 relative error 5.44693305473505e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.65003919820546 y1[1] (closed_form) 1.933460411199918 y1[1] (numeric) 1.9334604111998912 absolute error 2.6867397195928788e-14 relative error 1.3896016199915211e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.3586804437413336 y2[1] (numeric) 1.3586804437414068 absolute error 7.327471962526033e-14 relative error 5.393079731352225e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.660043743056657 y1[1] (closed_form) 1.9298253214096404 y1[1] (numeric) 1.9298253214096124 absolute error 2.7977620220553945e-14 relative error 1.4497488404866458e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.368001184326164 y2[1] (numeric) 1.3680011843262372 absolute error 7.327471962526033e-14 relative error 5.356334516724359e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.670048287907854 y1[1] (closed_form) 1.9260971653259222 y1[1] (numeric) 1.9260971653258931 absolute error 2.90878432451791e-14 relative error 1.5101960466390613e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.3772850916419725 y2[1] (numeric) 1.3772850916420456 absolute error 7.30526750203353e-14 relative error 5.30410700469017e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.680052832759052 y1[1] (closed_form) 1.922276316100215 y1[1] (numeric) 1.9222763161001863 absolute error 2.864375403532904e-14 relative error 1.4900955599057457e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.386531236461707 y2[1] (numeric) 1.38653123646178 absolute error 7.283063041541027e-14 relative error 5.252721936598195e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.690057377610249 y1[1] (closed_form) 1.9183631561616346 y1[1] (numeric) 1.918363156161605 absolute error 2.9531932455029164e-14 relative error 1.53943388456846e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.3957386933379665 y2[1] (numeric) 1.3957386933380385 absolute error 7.194245199571014e-14 relative error 5.154435593073429e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.700061922461447 y1[1] (closed_form) 1.914358077178683 y1[1] (numeric) 1.9143580771786528 absolute error 3.019806626980426e-14 relative error 1.5774512944991545e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.4049065406956296 y2[1] (numeric) 1.4049065406957009 absolute error 7.127631818093505e-14 relative error 5.07338503425595e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.710066467312644 y1[1] (closed_form) 1.9102614800200475 y1[1] (numeric) 1.9102614800200175 absolute error 2.9976021664879227e-14 relative error 1.5692103923157494e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.4140338609240946 y2[1] (numeric) 1.4140338609241654 absolute error 7.083222897108499e-14 relative error 5.0092314567909255e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.720071012163841 y1[1] (closed_form) 1.9060737747144771 y1[1] (numeric) 1.9060737747144463 absolute error 3.086420008457935e-14 relative error 1.6192552719635785e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.423119740469124 y2[1] (numeric) 1.4231197404691955 absolute error 7.149836278586008e-14 relative error 5.024058113500064e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.730075557015039 y1[1] (closed_form) 1.9017953804097427 y1[1] (numeric) 1.90179538040971 absolute error 3.26405569239796e-14 relative error 1.7163022510311902e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.4321632699242817 y2[1] (numeric) 1.4321632699243523 absolute error 7.061018436615996e-14 relative error 4.930316664935354e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.740080101866236 y1[1] (closed_form) 1.8974267253306842 y1[1] (numeric) 1.8974267253306516 absolute error 3.26405569239796e-14 relative error 1.7202538832318277e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.4411635441219552 y2[1] (numeric) 1.4411635441220247 absolute error 6.94999613415348e-14 relative error 4.822489551932041e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.750084646717434 y1[1] (closed_form) 1.8929682467363511 y1[1] (numeric) 1.8929682467363182 absolute error 3.2862601528904634e-14 relative error 1.736035540245471e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.4501196622239547 y2[1] (numeric) 1.4501196622240236 absolute error 6.88338275267597e-14 relative error 4.7467687888042095e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.760089191568631 y1[1] (closed_form) 1.888420390876235 y1[1] (numeric) 1.8884203908762016 absolute error 3.3306690738754696e-14 relative error 1.763732847816807e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.4590307278116774 y2[1] (numeric) 1.4590307278117456 absolute error 6.816769371198461e-14 relative error 4.672121869168973e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.770093736419828 y1[1] (closed_form) 1.8837836129456051 y1[1] (numeric) 1.8837836129455712 absolute error 3.397282455352979e-14 relative error 1.8034356133084573e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.4678958489758303 y2[1] (numeric) 1.467895848975897 absolute error 6.683542608243442e-14 relative error 4.5531449747655025e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.780098281271026 y1[1] (closed_form) 1.8790583770399492 y1[1] (numeric) 1.8790583770399136 absolute error 3.552713678800501e-14 relative error 1.8906882948453333e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.476714138405702 y2[1] (numeric) 1.4767141384057676 absolute error 6.550315845288424e-14 relative error 4.4357372052794934e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.790102826122223 y1[1] (closed_form) 1.87424515610852 y1[1] (numeric) 1.8742451561084839 absolute error 3.6193270602780103e-14 relative error 1.9310851883393897e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.4854847134779732 y2[1] (numeric) 1.4854847134780385 absolute error 6.52811138479592e-14 relative error 4.39460017700998e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.8001073709734206 y1[1] (closed_form) 1.8693444319069994 y1[1] (numeric) 1.8693444319069632 absolute error 3.6193270602780103e-14 relative error 1.9361477737870797e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.494206696345058 y2[1] (numeric) 1.4942066963451235 absolute error 6.550315845288424e-14 relative error 4.383808385620938e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.810111915824618 y1[1] (closed_form) 1.864356694949279 y1[1] (numeric) 1.8643566949492423 absolute error 3.6637359812630166e-14 relative error 1.965147544559702e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.5028792140229688 y2[1] (numeric) 1.5028792140230336 absolute error 6.483702463810914e-14 relative error 4.314187330101581e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.820116460675815 y1[1] (closed_form) 1.8592824444583638 y1[1] (numeric) 1.8592824444583274 absolute error 3.6415315207705135e-14 relative error 1.958568227019077e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.5115013984786931 y2[1] (numeric) 1.511501398478759 absolute error 6.59472476627343e-14 relative error 4.363029219100251e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.830121005527013 y1[1] (closed_form) 1.8541221883164056 y1[1] (numeric) 1.8541221883163677 absolute error 3.7969627442180354e-14 relative error 2.0478492561840184e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.5200723867170747 y2[1] (numeric) 1.52007238671714 absolute error 6.52811138479592e-14 relative error 4.294605600260123e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.84012555037821 y1[1] (closed_form) 1.8488764430138693 y1[1] (numeric) 1.8488764430138305 absolute error 3.885780586188048e-14 relative error 2.101698358952426e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.5285913208671902 y2[1] (numeric) 1.5285913208672548 absolute error 6.461498003318411e-14 relative error 4.2270932165522946e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.8501300952294075 y1[1] (closed_form) 1.843545733597837 y1[1] (numeric) 1.843545733597797 absolute error 3.9968028886505635e-14 relative error 2.16799768826481e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.5370573482682155 y2[1] (numeric) 1.5370573482682788 absolute error 6.328271240363392e-14 relative error 4.117134111810064e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.860134640080605 y1[1] (closed_form) 1.838130593619455 y1[1] (numeric) 1.838130593619414 absolute error 4.085620730620576e-14 relative error 2.2227042761829004e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.5454696215547665 y2[1] (numeric) 1.5454696215548296 absolute error 6.306066779870889e-14 relative error 4.080356347300368e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.870139184931802 y1[1] (closed_form) 1.8326315650805327 y1[1] (numeric) 1.832631565080491 absolute error 4.1744385725905886e-14 relative error 2.2778384112396035e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.5538272987417132 y2[1] (numeric) 1.5538272987417754 absolute error 6.217248937900877e-14 relative error 4.001248364561232e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.880143729783 y1[1] (closed_form) 1.827049198379292 y1[1] (numeric) 1.8270491983792503 absolute error 4.1744385725905886e-14 relative error 2.284798119445048e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.5621295433084534 y2[1] (numeric) 1.562129543308516 absolute error 6.261657858885883e-14 relative error 4.008411393093712e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.889986911007565 y1[1] (closed_form) 1.8214760794243303 y1[1] (numeric) 1.821476079424288 absolute error 4.241051954068098e-14 relative error 2.3283599504685586e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.5702429753479048 y2[1] (numeric) 1.5702429753479672 absolute error 6.23945339839338e-14 relative error 3.9735591856482975e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.899991455858762 y1[1] (closed_form) 1.8157300423666265 y1[1] (numeric) 1.815730042366584 absolute error 4.241051954068098e-14 relative error 2.3357282498560754e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.5784327946966195 y2[1] (numeric) 1.5784327946966816 absolute error 6.217248937900877e-14 relative error 3.938874660226414e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.90999600070996 y1[1] (closed_form) 1.8099023588214127 y1[1] (numeric) 1.8099023588213698 absolute error 4.285460875053104e-14 relative error 2.367785673169544e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.586564718659 y2[1] (numeric) 1.5865647186590608 absolute error 6.084022174945858e-14 relative error 3.8347141489999914e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.920000545561157 y1[1] (closed_form) 1.8039936120820177 y1[1] (numeric) 1.8039936120819737 absolute error 4.39648317751562e-14 relative error 2.4370835617547276e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.5946379333101026 y2[1] (numeric) 1.5946379333101635 absolute error 6.084022174945858e-14 relative error 3.815300042635273e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.9300050904123545 y1[1] (closed_form) 1.7980043935553924 y1[1] (numeric) 1.7980043935553474 absolute error 4.5075054799781356e-14 relative error 2.5069490909668733e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.6026516306012044 y2[1] (numeric) 1.6026516306012648 absolute error 6.039613253960852e-14 relative error 3.7685128437395995e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.940009635263552 y1[1] (closed_form) 1.7919353027029148 y1[1] (numeric) 1.7919353027028682 absolute error 4.6629367034256575e-14 relative error 2.602179161486572e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.61060500844068 y2[1] (numeric) 1.61060500844074 absolute error 5.995204332975845e-14 relative error 3.722330615859782e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.950014180114749 y1[1] (closed_form) 1.785786946980391 y1[1] (numeric) 1.7857869469803438 absolute error 4.729550084903167e-14 relative error 2.648440281692293e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.6184972707742824 y2[1] (numeric) 1.618497270774342 absolute error 5.950795411990839e-14 relative error 3.676741085355061e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.960018724965947 y1[1] (closed_form) 1.7795599417772552 y1[1] (numeric) 1.779559941777207 absolute error 4.8183679268731794e-14 relative error 2.7076176608364493e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.626327627664821 y2[1] (numeric) 1.6263276276648797 absolute error 5.861977570020827e-14 relative error 3.60442599037551e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.970023269817144 y1[1] (closed_form) 1.7732549103549733 y1[1] (numeric) 1.773254910354925 absolute error 4.8183679268731794e-14 relative error 2.7172449368312365e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.634095295371226 y2[1] (numeric) 1.6340952953712844 absolute error 5.839773109528323e-14 relative error 3.573704132231573e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.980027814668341 y1[1] (closed_form) 1.7668724837846628 y1[1] (numeric) 1.7668724837846148 absolute error 4.796163466380676e-14 relative error 2.7144932701126425e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.6417994964269933 y2[1] (numeric) 1.6417994964270517 absolute error 5.839773109528323e-14 relative error 3.556934401695989e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 6.990032359519539 y1[1] (closed_form) 1.760413300883928 y1[1] (numeric) 1.7604133008838792 absolute error 4.884981308350689e-14 relative error 2.7749059302709605e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.6494394597180009 y2[1] (numeric) 1.6494394597180588 absolute error 5.795364188543317e-14 relative error 3.513535555608771e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.000036904370736 y1[1] (closed_form) 1.7538780081529204 y1[1] (numeric) 1.7538780081528709 absolute error 4.951594689828198e-14 relative error 2.823226397053078e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.6570144205596902 y2[1] (numeric) 1.6570144205597481 absolute error 5.795364188543317e-14 relative error 3.4974735986822707e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.010041449221934 y1[1] (closed_form) 1.7472672597096306 y1[1] (numeric) 1.7472672597095802 absolute error 5.040412531798211e-14 relative error 2.884740444707841e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.6645236207736032 y2[1] (numeric) 1.6645236207736602 absolute error 5.706546346573305e-14 relative error 3.4283360568479844e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.020045994073131 y1[1] (closed_form) 1.740581717224418 y1[1] (numeric) 1.7405817172243676 absolute error 5.040412531798211e-14 relative error 2.895820679902233e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.6719663087632686 y2[1] (numeric) 1.671966308763325 absolute error 5.639932965095795e-14 relative error 3.373233620519291e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.030050538924328 y1[1] (closed_form) 1.7338220498537837 y1[1] (numeric) 1.7338220498537322 absolute error 5.1514348342607263e-14 relative error 2.971143915660293e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.6793417395894283 y2[1] (numeric) 1.6793417395894843 absolute error 5.595524044110789e-14 relative error 3.3319746137428843e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.040055083775526 y1[1] (closed_form) 1.726988934173395 y1[1] (numeric) 1.7269889341733429 absolute error 5.218048215738236e-14 relative error 3.0214717144298316e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.686649175044601 y2[1] (numeric) 1.686649175044656 absolute error 5.484501741648273e-14 relative error 3.251714596488771e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.050059628626723 y1[1] (closed_form) 1.720083054110366 y1[1] (numeric) 1.7200830541103131 absolute error 5.284661597215745e-14 relative error 3.0723293183938688e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.6938878837269662 y2[1] (numeric) 1.6938878837270206 absolute error 5.440092820663267e-14 relative error 3.2116014719307966e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.060064173477921 y1[1] (closed_form) 1.7131051008748044 y1[1] (numeric) 1.7131051008747502 absolute error 5.417888360170764e-14 relative error 3.1626129403292865e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.7010571411135722 y2[1] (numeric) 1.7010571411136253 absolute error 5.306866057708248e-14 relative error 3.119745909437343e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.070068718329118 y1[1] (closed_form) 1.7060557728906276 y1[1] (numeric) 1.7060557728905725 absolute error 5.5067062021407764e-14 relative error 3.2277410209225335e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.7081562296328534 y2[1] (numeric) 1.7081562296329067 absolute error 5.3290705182007514e-14 relative error 3.1197793420489225e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.080073263180315 y1[1] (closed_form) 1.6989357757256573 y1[1] (numeric) 1.6989357757256012 absolute error 5.617728504603292e-14 relative error 3.306616168114902e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.7151844387364519 y2[1] (numeric) 1.7151844387365045 absolute error 5.262457136723242e-14 relative error 3.068158162978675e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.090077808031513 y1[1] (closed_form) 1.6917458220209998 y1[1] (numeric) 1.6917458220209423 absolute error 5.750955267558311e-14 relative error 3.399420405063027e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.7221410649703364 y2[1] (numeric) 1.722141064970388 absolute error 5.1736392947532295e-14 relative error 3.0041901909135095e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.10008235288271 y1[1] (closed_form) 1.6844866314197167 y1[1] (numeric) 1.6844866314196578 absolute error 5.88418203051333e-14 relative error 3.493160420961033e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.7290254120452107 y2[1] (numeric) 1.729025412045262 absolute error 5.129230373768223e-14 relative error 2.96654423817925e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.110086897733908 y1[1] (closed_form) 1.6771589304947965 y1[1] (numeric) 1.677158930494738 absolute error 5.839773109528323e-14 relative error 3.4819437820394695e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.7358367909062058 y2[1] (numeric) 1.7358367909062566 absolute error 5.084821452783217e-14 relative error 2.929320014083035e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.120091442585105 y1[1] (closed_form) 1.669763452676432 y1[1] (numeric) 1.6697634526763732 absolute error 5.88418203051333e-14 relative error 3.5239614456057753e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.7425745198018479 y2[1] (numeric) 1.7425745198018983 absolute error 5.040412531798211e-14 relative error 2.8925090287509583e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.130095987436302 y1[1] (closed_form) 1.6623009381786105 y1[1] (numeric) 1.66230093817855 absolute error 6.039613253960852e-14 relative error 3.6332851141734172e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.7492379243522929 y2[1] (numeric) 1.7492379243523433 absolute error 5.040412531798211e-14 relative error 2.881490540324623e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.1401005322875 y1[1] (closed_form) 1.6547721339250263 y1[1] (numeric) 1.6547721339249657 absolute error 6.061817714453355e-14 relative error 3.663234103462369e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.7558263376168282 y2[1] (numeric) 1.7558263376168772 absolute error 4.907185768843192e-14 relative error 2.7948013215838213e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.150105077138697 y1[1] (closed_form) 1.6471777934743208 y1[1] (numeric) 1.647177793474259 absolute error 6.17284001691587e-14 relative error 3.747525034256179e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.7623391001606237 y2[1] (numeric) 1.7623391001606725 absolute error 4.884981308350689e-14 relative error 2.7718736467377136e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.1601096219898945 y1[1] (closed_form) 1.6395186769446588 y1[1] (numeric) 1.6395186769445964 absolute error 6.23945339839338e-14 relative error 3.8056616774997494e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.7687755601207371 y2[1] (numeric) 1.7687755601207846 absolute error 4.75175454539567e-14 relative error 2.6864655146361893e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.170114166841092 y1[1] (closed_form) 1.6317955509376478 y1[1] (numeric) 1.6317955509375848 absolute error 6.306066779870889e-14 relative error 3.864495632585438e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.7751350732713584 y2[1] (numeric) 1.7751350732714049 absolute error 4.6407322429331543e-14 relative error 2.614298096415192e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.180118711692289 y1[1] (closed_form) 1.6240091884616101 y1[1] (numeric) 1.6240091884615466 absolute error 6.350475700855895e-14 relative error 3.910369316858095e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.7814170030882888 y2[1] (numeric) 1.7814170030883345 absolute error 4.574118861455645e-14 relative error 2.567685642118544e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.190123256543487 y1[1] (closed_form) 1.6161603688542105 y1[1] (numeric) 1.6161603688541466 absolute error 6.394884621840902e-14 relative error 3.9568379135386205e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.787620720812653 y2[1] (numeric) 1.7876207208126973 absolute error 4.418687638008123e-14 relative error 2.4718261466556427e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.200127801394684 y1[1] (closed_form) 1.6082498777044543 y1[1] (numeric) 1.60824987770439 absolute error 6.417089082333405e-14 relative error 3.990106992262221e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.79374560551383 y2[1] (numeric) 1.7937456055138745 absolute error 4.440892098500626e-14 relative error 2.475764726530719e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.2101323462458815 y1[1] (closed_form) 1.600278506774055 y1[1] (numeric) 1.6002785067739906 absolute error 6.439293542825908e-14 relative error 4.023858044439185e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.7997910441516027 y2[1] (numeric) 1.799791044151647 absolute error 4.418687638008123e-14 relative error 2.45511147106026e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.220136891097079 y1[1] (closed_form) 1.5922470539181899 y1[1] (numeric) 1.5922470539181248 absolute error 6.505906924303417e-14 relative error 4.085990869503403e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.805756431637517 y2[1] (numeric) 1.8057564316375607 absolute error 4.374278717023117e-14 relative error 2.422407939622501e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.230141435948276 y1[1] (closed_form) 1.5841563230056404 y1[1] (numeric) 1.5841563230055753 absolute error 6.505906924303417e-14 relative error 4.106859171549229e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.8116411708954456 y2[1] (numeric) 1.8116411708954894 absolute error 4.374278717023117e-14 relative error 2.4145392516449758e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.2399846171728415 y1[1] (closed_form) 1.576139022175655 y1[1] (numeric) 1.5761390221755902 absolute error 6.483702463810914e-14 relative error 4.113661531494225e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.8173517156808812 y2[1] (numeric) 1.817351715680925 absolute error 4.374278717023117e-14 relative error 2.406952203736891e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.249989162024039 y1[1] (closed_form) 1.5679330937861207 y1[1] (numeric) 1.5679330937860547 absolute error 6.59472476627343e-14 relative error 4.205998835287678e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.8230747238146274 y2[1] (numeric) 1.8230747238146712 absolute error 4.374278717023117e-14 relative error 2.3993962835874954e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.259993706875236 y1[1] (closed_form) 1.559670320926186 y1[1] (numeric) 1.559670320926119 absolute error 6.705747068735946e-14 relative error 4.29946443088937e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.8287153503310893 y2[1] (numeric) 1.828715350331132 absolute error 4.263256414560601e-14 relative error 2.3312848627801684e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.269998251726434 y1[1] (closed_form) 1.5513515306174703 y1[1] (numeric) 1.5513515306174024 absolute error 6.794564910705958e-14 relative error 4.379771300448957e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.8342730306594914 y2[1] (numeric) 1.8342730306595338 absolute error 4.241051954068098e-14 relative error 2.3121159626619365e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.280002796577631 y1[1] (closed_form) 1.542977555488385 y1[1] (numeric) 1.5429775554883165 absolute error 6.861178292183467e-14 relative error 4.446712959484209e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.8397472085311495 y2[1] (numeric) 1.8397472085311921 absolute error 4.263256414560601e-14 relative error 2.31730554871415e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.2900073414288284 y1[1] (closed_form) 1.5345492336907944 y1[1] (numeric) 1.5345492336907256 absolute error 6.88338275267597e-14 relative error 4.485605675955096e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.8451373360351466 y2[1] (numeric) 1.8451373360351881 absolute error 4.1522341120980855e-14 relative error 2.250365883886159e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.300011886280026 y1[1] (closed_form) 1.5260674088161252 y1[1] (numeric) 1.5260674088160564 absolute error 6.88338275267597e-14 relative error 4.510536502457569e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.8504428736731748 y2[1] (numeric) 1.850442873673216 absolute error 4.107825191113079e-14 relative error 2.219914621281415e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.310016431131223 y1[1] (closed_form) 1.517532929810932 y1[1] (numeric) 1.517532929810862 absolute error 6.994405055138486e-14 relative error 4.609063116679723e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.8556632904135322 y2[1] (numeric) 1.8556632904135724 absolute error 4.0190073491430667e-14 relative error 2.165806356091377e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.320020975982421 y1[1] (closed_form) 1.5089466508919251 y1[1] (numeric) 1.5089466508918556 absolute error 6.94999613415348e-14 relative error 4.605859411958268e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.860798063744275 y2[1] (numeric) 1.860798063744315 absolute error 3.9968028886505635e-14 relative error 2.1478971665567225e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.330025520833618 y1[1] (closed_form) 1.5003094314604728 y1[1] (numeric) 1.5003094314604026 absolute error 7.016609515630989e-14 relative error 4.676774916225573e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.8658466797255149 y2[1] (numeric) 1.8658466797255546 absolute error 3.9745984281580604e-14 relative error 2.130184902836049e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.340030065684815 y1[1] (closed_form) 1.4916221360165836 y1[1] (numeric) 1.4916221360165136 absolute error 6.994405055138486e-14 relative error 4.689126613404404e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.8708086330408604 y2[1] (numeric) 1.8708086330408993 absolute error 3.885780586188048e-14 relative error 2.0770593622245586e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.350034610536013 y1[1] (closed_form) 1.4828856340723777 y1[1] (numeric) 1.4828856340723073 absolute error 7.038813976123492e-14 relative error 4.7467004969177124e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.875683427047993 y2[1] (numeric) 1.8756834270480318 absolute error 3.885780586188048e-14 relative error 2.0716612036731625e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.36003915538721 y1[1] (closed_form) 1.4741008000650586 y1[1] (numeric) 1.4741008000649878 absolute error 7.083222897108499e-14 relative error 4.80511434278842e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.880470573828377 y2[1] (numeric) 1.880470573828415 absolute error 3.8191672047105385e-14 relative error 2.0309635566034116e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.370043700238408 y1[1] (closed_form) 1.4652685132693897 y1[1] (numeric) 1.4652685132693188 absolute error 7.083222897108499e-14 relative error 4.834078418367165e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.8851695942360942 y2[1] (numeric) 1.8851695942361324 absolute error 3.8191672047105385e-14 relative error 2.0259011265552138e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.380048245089605 y1[1] (closed_form) 1.4563896577096882 y1[1] (numeric) 1.4563896577096165 absolute error 7.172040739078511e-14 relative error 4.924534241994845e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.889780017945803 y2[1] (numeric) 1.8897800179458397 absolute error 3.6637359812630166e-14 relative error 1.9387102977443424e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.390052789940802 y1[1] (closed_form) 1.4474651220713424 y1[1] (numeric) 1.4474651220712698 absolute error 7.260858581048524e-14 relative error 5.016258057160048e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.8943013834998124 y2[1] (numeric) 1.894301383499848 absolute error 3.552713678800501e-14 relative error 1.875474362076795e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.400057334792 y1[1] (closed_form) 1.4384957996118635 y1[1] (numeric) 1.4384957996117909 absolute error 7.260858581048524e-14 relative error 5.047535476299379e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.8987332383542697 y2[1] (numeric) 1.8987332383543043 absolute error 3.4638958368304884e-14 relative error 1.8243193761293327e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.410061879643197 y1[1] (closed_form) 1.4294825880714794 y1[1] (numeric) 1.429482588071406 absolute error 7.349676423018536e-14 relative error 5.141494191219225e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9030751389244551 y2[1] (numeric) 1.9030751389244893 absolute error 3.419486915845482e-14 relative error 1.7968218100826249e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.420066424494395 y1[1] (closed_form) 1.4204263895832798 y1[1] (numeric) 1.4204263895832057 absolute error 7.416289804496046e-14 relative error 5.221171515034871e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.907326650629181 y2[1] (numeric) 1.907326650629214 absolute error 3.2862601528904634e-14 relative error 1.7229666202201943e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.430070969345592 y1[1] (closed_form) 1.4113281105829218 y1[1] (numeric) 1.4113281105828468 absolute error 7.505107646466058e-14 relative error 5.3177624608966505e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.911487347934289 y2[1] (numeric) 1.9114873479343208 absolute error 3.175237850427948e-14 relative error 1.6611346414923287e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.440075514196789 y1[1] (closed_form) 1.4021886617179038 y1[1] (numeric) 1.4021886617178279 absolute error 7.593925488436071e-14 relative error 5.415765863583796e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9155568143952408 y2[1] (numeric) 1.9155568143952728 absolute error 3.197442310920451e-14 relative error 1.6691973252330358e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.450080059047987 y1[1] (closed_form) 1.3930089577564202 y1[1] (numeric) 1.3930089577563434 absolute error 7.682743330406083e-14 relative error 5.515214591857261e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9195346426988014 y2[1] (numeric) 1.9195346426988331 absolute error 3.175237850427948e-14 relative error 1.6541706410485355e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.460084603899184 y1[1] (closed_form) 1.3837899174958004 y1[1] (numeric) 1.383789917495723 absolute error 7.72715225139109e-14 relative error 5.584050117502421e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9234204347038064 y2[1] (numeric) 1.9234204347038373 absolute error 3.086420008457935e-14 relative error 1.6046517717969564e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.4700891487503815 y1[1] (closed_form) 1.374532463670548 y1[1] (numeric) 1.3745324636704706 absolute error 7.749356711883593e-14 relative error 5.6378127957703745e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.927213801481012 y2[1] (numeric) 1.9272138014810432 absolute error 3.108624468950438e-14 relative error 1.6130148437923928e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.480093693601579 y1[1] (closed_form) 1.365237522859983 y1[1] (numeric) 1.3652375228599039 absolute error 7.904787935331115e-14 relative error 5.790045909939307e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9309143633520236 y2[1] (numeric) 1.9309143633520531 absolute error 2.9531932455029164e-14 relative error 1.5294273539797176e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.490098238452776 y1[1] (closed_form) 1.3559060253955013 y1[1] (numeric) 1.3559060253954216 absolute error 7.971401316808624e-14 relative error 5.8790219731367176e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9345217499272966 y2[1] (numeric) 1.9345217499273253 absolute error 2.864375403532904e-14 relative error 1.4806633234496086e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.500102783303974 y1[1] (closed_form) 1.346538905267457 y1[1] (numeric) 1.3465389052673769 absolute error 8.01581023779363e-14 relative error 5.952899100380234e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9380356001432102 y2[1] (numeric) 1.9380356001432377 absolute error 2.7533531010703882e-14 relative error 1.42069273694814e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.510107328155171 y1[1] (closed_form) 1.3371371000316796 y1[1] (numeric) 1.3371371000315988 absolute error 8.08242361927114e-14 relative error 6.044573603618993e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9414555622982048 y2[1] (numeric) 1.9414555622982321 absolute error 2.731148640577885e-14 relative error 1.4067531050491202e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.5201118730063685 y1[1] (closed_form) 1.3277015507156338 y1[1] (numeric) 1.327701550715553 absolute error 8.08242361927114e-14 relative error 6.087530450585598e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9447812940879858 y2[1] (numeric) 1.9447812940880114 absolute error 2.55351295663786e-14 relative error 1.3130077733678232e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.530116417857566 y1[1] (closed_form) 1.3182332017242324 y1[1] (numeric) 1.318233201724151 absolute error 8.149037000748649e-14 relative error 6.1817870996496e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.948012462639782 y2[1] (numeric) 1.9480124626398072 absolute error 2.531308496145357e-14 relative error 1.2994313664272668e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.540120962708763 y1[1] (closed_form) 1.3087330007453102 y1[1] (numeric) 1.3087330007452285 absolute error 8.171241461241152e-14 relative error 6.2436275822400085e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.951148744545666 y2[1] (numeric) 1.951148744545691 absolute error 2.5091040356528538e-14 relative error 1.2859624580990675e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.550125507559961 y1[1] (closed_form) 1.2992018986547702 y1[1] (numeric) 1.299201898654688 absolute error 8.215650382226158e-14 relative error 6.323613281917823e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9541898258949215 y2[1] (numeric) 1.9541898258949468 absolute error 2.531308496145357e-14 relative error 1.295323751358773e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.560130052411158 y1[1] (closed_form) 1.28964084942141 y1[1] (numeric) 1.2896408494213276 absolute error 8.237854842718662e-14 relative error 6.387712397924219e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.957135402305465 y2[1] (numeric) 1.9571354023054899 absolute error 2.4868995751603507e-14 relative error 1.2706834551308173e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.5701345972623555 y1[1] (closed_form) 1.2800508100114392 y1[1] (numeric) 1.2800508100113566 absolute error 8.260059303211165e-14 relative error 6.452915180091444e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9599851789543092 y2[1] (numeric) 1.9599851789543332 absolute error 2.398081733190338e-14 relative error 1.2235203403271458e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.580139142113553 y1[1] (closed_form) 1.270432740292697 y1[1] (numeric) 1.2704327402926137 absolute error 8.326672684688674e-14 relative error 6.55420190349493e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9627388706070732 y2[1] (numeric) 1.962738870607097 absolute error 2.375877272697835e-14 relative error 1.2104907628201089e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.59014368696475 y1[1] (closed_form) 1.260787602938578 y1[1] (numeric) 1.2607876029384948 absolute error 8.326672684688674e-14 relative error 6.604342131284682e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9653962016465316 y2[1] (numeric) 1.9653962016465543 absolute error 2.2648549702353193e-14 relative error 1.1523655985179542e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.5999868681893155 y1[1] (closed_form) 1.2512725530984818 y1[1] (numeric) 1.2512725530983981 absolute error 8.37108160567368e-14 relative error 6.690054524847259e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9679163724513449 y2[1] (numeric) 1.967916372451366 absolute error 2.1094237467877974e-14 relative error 1.0719072092276885e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.609991413040513 y1[1] (closed_form) 1.2415765769313962 y1[1] (numeric) 1.2415765769313127 absolute error 8.348877145181177e-14 relative error 6.724415795452379e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9703817586280716 y2[1] (numeric) 1.9703817586280925 absolute error 2.0872192862952943e-14 relative error 1.0592968987637064e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.61999595789171 y1[1] (closed_form) 1.231856421344715 y1[1] (numeric) 1.2318564213446312 absolute error 8.37108160567368e-14 relative error 6.795501050792647e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9727500192141978 y2[1] (numeric) 1.9727500192142184 absolute error 2.0650148258027912e-14 relative error 1.046769639178787e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.630000502742908 y1[1] (closed_form) 1.2221130592296159 y1[1] (numeric) 1.2221130592295317 absolute error 8.415490526658687e-14 relative error 6.886016365755525e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9750209171703248 y2[1] (numeric) 1.9750209171703452 absolute error 2.042810365310288e-14 relative error 1.0343234076918472e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.640005047594105 y1[1] (closed_form) 1.2123474658000202 y1[1] (numeric) 1.2123474657999371 absolute error 8.304468224196171e-14 relative error 6.8499076860907255e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.977194225202088 y2[1] (numeric) 1.9771942252021073 absolute error 1.9317880628477724e-14 relative error 9.770350521079058e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.650009592445302 y1[1] (closed_form) 1.2025606184949833 y1[1] (numeric) 1.2025606184949005 absolute error 8.282263763703668e-14 relative error 6.887190247481249e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.979269725782907 y2[1] (numeric) 1.979269725782926 absolute error 1.887379141862766e-14 relative error 9.535734909077169e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.6600141372965 y1[1] (closed_form) 1.1927534968808624 y1[1] (numeric) 1.1927534968807798 absolute error 8.260059303211165e-14 relative error 6.925202336284759e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9812472111757562 y2[1] (numeric) 1.9812472111757744 absolute error 1.8207657603852567e-14 relative error 9.189997846380499e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.670018682147697 y1[1] (closed_form) 1.1829270825532723 y1[1] (numeric) 1.1829270825531901 absolute error 8.215650382226158e-14 relative error 6.94518749582874e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9831264834539595 y2[1] (numeric) 1.983126483453977 absolute error 1.7541523789077473e-14 relative error 8.845388297435199e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.680023226998895 y1[1] (closed_form) 1.1730823590388373 y1[1] (numeric) 1.1730823590387551 absolute error 8.215650382226158e-14 relative error 7.003472790229013e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.984907354520998 y2[1] (numeric) 1.9849073545210152 absolute error 1.709743457922741e-14 relative error 8.613719194643922e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.690027771850092 y1[1] (closed_form) 1.1632203116967488 y1[1] (numeric) 1.1632203116966662 absolute error 8.260059303211165e-14 relative error 7.101027397950527e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9865896461293397 y2[1] (numeric) 1.9865896461293564 absolute error 1.6653345369377348e-14 relative error 8.382881387620556e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.700032316701289 y1[1] (closed_form) 1.1533419276201426 y1[1] (numeric) 1.15334192762006 absolute error 8.260059303211165e-14 relative error 7.16184776205556e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9881731898982784 y2[1] (numeric) 1.9881731898982946 absolute error 1.6209256159527285e-14 relative error 8.152839119793485e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.710036861552487 y1[1] (closed_form) 1.1434481955372993 y1[1] (numeric) 1.1434481955372162 absolute error 8.304468224196171e-14 relative error 7.262653661623868e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9896578273307863 y2[1] (numeric) 1.9896578273308014 absolute error 1.509903313490213e-14 relative error 7.588758693829355e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.720041406403684 y1[1] (closed_form) 1.1335401057126824 y1[1] (numeric) 1.1335401057125993 absolute error 8.304468224196171e-14 relative error 7.326135336848063e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9910434098293806 y2[1] (numeric) 1.9910434098293952 absolute error 1.4654943925052066e-14 relative error 7.360434158644437e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.730045951254882 y1[1] (closed_form) 1.1236186498478231 y1[1] (numeric) 1.1236186498477396 absolute error 8.348877145181177e-14 relative error 7.430347606202429e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9923297987109936 y2[1] (numeric) 1.992329798711007 absolute error 1.3322676295501878e-14 relative error 6.686983402106138e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.740050496106079 y1[1] (closed_form) 1.113684820982061 y1[1] (numeric) 1.1136848209819772 absolute error 8.37108160567368e-14 relative error 7.516562539024244e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9935168652208561 y2[1] (numeric) 1.993516865220869 absolute error 1.2878587085651816e-14 relative error 6.460234829377795e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.750055040957276 y1[1] (closed_form) 1.1037396133931496 y1[1] (numeric) 1.1037396133930653 absolute error 8.43769498715119e-14 relative error 7.644642708085626e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9946044905453824 y2[1] (numeric) 1.9946044905453946 absolute error 1.2212453270876722e-14 relative error 6.122744297811886e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.760059585808474 y1[1] (closed_form) 1.0937840224977406 y1[1] (numeric) 1.0937840224976563 absolute error 8.43769498715119e-14 relative error 7.71422402741179e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.995592565824064 y2[1] (numeric) 1.9955925658240756 absolute error 1.1546319456101628e-14 relative error 5.785910237310223e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.770064130659671 y1[1] (closed_form) 1.0838190447517517 y1[1] (numeric) 1.0838190447516667 absolute error 8.504308368628699e-14 relative error 7.846612780804759e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9964809921603641 y2[1] (numeric) 1.9964809921603754 absolute error 1.1324274851176597e-14 relative error 5.672117538631188e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.780068675510869 y1[1] (closed_form) 1.0738456775506304 y1[1] (numeric) 1.0738456775505458 absolute error 8.459899447643693e-14 relative error 7.878133352401392e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9972696806316175 y2[1] (numeric) 1.9972696806316272 absolute error 9.769962616701378e-15 relative error 4.891659204285182e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.790073220362066 y1[1] (closed_form) 1.0638649191295262 y1[1] (numeric) 1.0638649191294407 absolute error 8.548717289613705e-14 relative error 8.035528887077527e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9979585522979293 y2[1] (numeric) 1.9979585522979382 absolute error 8.881784197001252e-15 relative error 4.445429654577153e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.800077765213263 y1[1] (closed_form) 1.0538777684633762 y1[1] (numeric) 1.05387776846329 absolute error 8.615330671091215e-14 relative error 8.17488605310741e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9985475382100777 y2[1] (numeric) 1.9985475382100866 absolute error 8.881784197001252e-15 relative error 4.444119555422675e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.810082310064461 y1[1] (closed_form) 1.043885225166918 y1[1] (numeric) 1.0438852251668311 absolute error 8.681944052568724e-14 relative error 8.316952710179871e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.999036579416414 y2[1] (numeric) 1.9990365794164229 absolute error 8.881784197001252e-15 relative error 4.443032352911793e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.820086854915658 y1[1] (closed_form) 1.0338882893946375 y1[1] (numeric) 1.03388828939455 absolute error 8.748557434046234e-14 relative error 8.461801457456e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9994256269687631 y2[1] (numeric) 1.9994256269687718 absolute error 8.659739592076221e-15 relative error 4.331113633471255e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.8300913997668555 y1[1] (closed_form) 1.0238879617406647 y1[1] (numeric) 1.023887961740577 absolute error 8.770761894538737e-14 relative error 8.566134403639212e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9997146419273233 y2[1] (numeric) 1.999714641927331 absolute error 7.771561172376096e-15 relative error 3.8863350847328255e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.840095944618053 y1[1] (closed_form) 1.0138852431386223 y1[1] (numeric) 1.0138852431385343 absolute error 8.79296635503124e-14 relative error 8.672545945940977e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9999035953645639 y2[1] (numeric) 1.9999035953645705 absolute error 6.661338147750939e-15 relative error 3.330829627583443e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.85010048946925 y1[1] (closed_form) 1.003881134761444 y1[1] (numeric) 1.0038811347613554 absolute error 8.859579736508749e-14 relative error 8.825327451356165e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9999924683681192 y2[1] (numeric) 1.9999924683681245 absolute error 5.329070518200751e-15 relative error 2.6645452932875154e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.860105034320448 y1[1] (closed_form) 0.993876637921166 y1[1] (numeric) 0.9938766379210777 absolute error 8.826273045769994e-14 relative error 8.88065249650238e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9999812520426827 y2[1] (numeric) 1.9999812520426876 absolute error 4.884981308350689e-15 relative error 2.4425135502452376e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.870109579171645 y1[1] (closed_form) 0.9838727539687057 y1[1] (numeric) 0.9838727539686178 absolute error 8.781864124784988e-14 relative error 8.925812905541966e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.999869947510898 y2[1] (numeric) 1.9998699475109023 absolute error 4.218847493575595e-15 relative error 2.1095609236123114e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.8801141240228425 y1[1] (closed_form) 0.9738704841936365 y1[1] (numeric) 0.9738704841935489 absolute error 8.759659664292485e-14 relative error 8.99468646649197e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9996585659132446 y2[1] (numeric) 1.9996585659132475 absolute error 2.886579864025407e-15 relative error 1.4435363682735034e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.89011866887404 y1[1] (closed_form) 0.9638708297239688 y1[1] (numeric) 0.9638708297238812 absolute error 8.759659664292485e-14 relative error 9.088001622376162e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9993471284069244 y2[1] (numeric) 1.9993471284069255 absolute error 1.1102230246251565e-15 relative error 5.552927797534488e-14% Desired digits 8 Estimated correct digits 11 Correct digits 16 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.900123213725237 y1[1] (closed_form) 0.9538747914259467 y1[1] (numeric) 0.9538747914258591 absolute error 8.759659664292485e-14 relative error 9.183238453337966e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9989356661637425 y2[1] (numeric) 1.998935666163743 absolute error 4.440892098500626e-16 relative error 2.2216283263499743e-14% Desired digits 8 Estimated correct digits 11 Correct digits 16 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.910127758576435 y1[1] (closed_form) 0.9438833698038714 y1[1] (numeric) 0.9438833698037836 absolute error 8.781864124784988e-14 relative error 9.303971661890561e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9984242203669895 y2[1] (numeric) 1.9984242203669889 absolute error 6.661338147750939e-16 relative error 3.333295343331885e-14% Desired digits 8 Estimated correct digits 11 Correct digits 16 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.920132303427632 y1[1] (closed_form) 0.9338975648999608 y1[1] (numeric) 0.9338975648998731 absolute error 8.770761894538737e-14 relative error 9.39156736689667e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9978128422073174 y2[1] (numeric) 1.9978128422073163 absolute error 1.1102230246251565e-15 relative error 5.5571923514041876e-14% Desired digits 8 Estimated correct digits 11 Correct digits 16 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.9301368482788295 y1[1] (closed_form) 0.9239183761942549 y1[1] (numeric) 0.9239183761941676 absolute error 8.72635297355373e-14 relative error 9.444939291605782e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.997101592877617 y2[1] (numeric) 1.9971015928776137 absolute error 3.3306690738754696e-15 relative error 1.6677514482757584e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.940141393130027 y1[1] (closed_form) 0.9139468025045777 y1[1] (numeric) 0.9139468025044899 absolute error 8.781864124784988e-14 relative error 9.608725694667553e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9962905435668925 y2[1] (numeric) 1.9962905435668883 absolute error 4.218847493575595e-15 relative error 2.1133434244684273e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.949984574354592 y1[1] (closed_form) 0.9041444612263573 y1[1] (numeric) 0.9041444612262698 absolute error 8.748557434046234e-14 relative error 9.676061524703614e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9953952560095987 y2[1] (numeric) 1.9953952560095936 absolute error 5.10702591327572e-15 relative error 2.55940566055508e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.959989119205789 y1[1] (closed_form) 0.894190947962025 y1[1] (numeric) 0.8941909479619379 absolute error 8.715250743307479e-14 relative error 9.7465208780861e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9943864663735247 y2[1] (numeric) 1.9943864663735187 absolute error 5.995204332975845e-15 relative error 3.0060394181661153e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.969993664056987 y1[1] (closed_form) 0.8842480251344758 y1[1] (numeric) 0.8842480251343884 absolute error 8.737455203799982e-14 relative error 9.881226709521004e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9932781485136633 y2[1] (numeric) 1.993278148513656 absolute error 7.327471962526033e-15 relative error 3.6760910503082284e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.979998208908184 y1[1] (closed_form) 0.8743166879316788 y1[1] (numeric) 0.8743166879315917 absolute error 8.715250743307479e-14 relative error 9.968070910238087e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.992070413361641 y2[1] (numeric) 1.9920704133616318 absolute error 9.103828801926284e-15 relative error 4.570033639806673e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 7.990002753759382 y1[1] (closed_form) 0.8643979303819975 y1[1] (numeric) 0.8643979303819106 absolute error 8.693046282814976e-14 relative error 1.0056764341133159e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.9907633817997687 y2[1] (numeric) 1.9907633817997596 absolute error 9.103828801926284e-15 relative error 4.57303408589718e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.00000729861058 y1[1] (closed_form) 0.8544927452546958 y1[1] (numeric) 0.8544927452546099 absolute error 8.58202398035246e-14 relative error 1.0043413508202982e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.9893571846489442 y2[1] (numeric) 1.9893571846489344 absolute error 9.769962616701378e-15 relative error 4.911115355297773e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.010011843461832 y1[1] (closed_form) 0.8446021239605208 y1[1] (numeric) 0.8446021239604892 absolute error 3.164135620181696e-14 relative error 3.746303176866741e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9878519626555482 y2[1] (numeric) 1.987851962655545 absolute error 3.1086244689504383e-15 relative error 1.5638108507827029e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.020016388313085 y1[1] (closed_form) 0.8347270564526309 y1[1] (numeric) 0.8347270564526535 absolute error 2.2648549702353193e-14 relative error 2.7132880774948803e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9862478664773822 y2[1] (numeric) 1.9862478664773873 absolute error 5.10702591327572e-15 relative error 2.5711926489482146e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.030020933164337 y1[1] (closed_form) 0.8248685311273508 y1[1] (numeric) 0.8248685311274278 absolute error 7.693845560652335e-14 relative error 9.327359779548298e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y2[1] (closed_form) 1.9845450566685652 y2[1] (numeric) 1.98454505666858 absolute error 1.4876988529977098e-14 relative error 7.496422658677723e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.04002547801559 y1[1] (closed_form) 0.8150275347252971 y1[1] (numeric) 0.8150275347254281 absolute error 1.3100631690576847e-13 relative error 1.607385165826622e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.9827437036634725 y2[1] (numeric) 1.9827437036634983 absolute error 2.5757174171303632e-14 relative error 1.299067253307256e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.050030022866842 y1[1] (closed_form) 0.8052050522326148 y1[1] (numeric) 0.8052050522327996 absolute error 1.8474111129762605e-13 relative error 2.2943362164133115e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.980843987759675 y2[1] (numeric) 1.9808439877597133 absolute error 3.8191672047105385e-14 relative error 1.928050481668674e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.060034567718095 y1[1] (closed_form) 0.7954020667823902 y1[1] (numeric) 0.7954020667826284 absolute error 2.381428387820961e-13 relative error 2.9939932108228765e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.9788460990998955 y2[1] (numeric) 1.9788460990999464 absolute error 5.084821452783217e-14 relative error 2.569589143438752e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.070039112569347 y1[1] (closed_form) 0.7856195595562492 y1[1] (numeric) 0.7856195595565398 absolute error 2.90656387846866e-13 relative error 3.699709157076497e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.976750237652975 y2[1] (numeric) 1.9767502376530404 absolute error 6.52811138479592e-14 relative error 3.302446237490703e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.0800436574206 y1[1] (closed_form) 0.7758585096861501 y1[1] (numeric) 0.7758585096864943 absolute error 3.4416913763379853e-13 relative error 4.4359781240657096e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.9745566131938597 y2[1] (numeric) 1.9745566131939398 absolute error 8.01581023779363e-14 relative error 4.05954946251351e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.090048202271852 y1[1] (closed_form) 0.766119894156383 y1[1] (numeric) 0.7661198941567801 absolute error 3.97015753605956e-13 relative error 5.1821621737565235e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.9722654452826032 y2[1] (numeric) 1.9722654452827002 absolute error 9.703349235223868e-14 relative error 4.9199002388005075e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.100052747123105 y1[1] (closed_form) 0.7564046877057833 y1[1] (numeric) 0.7564046877062326 absolute error 4.4930725806580085e-13 relative error 5.94003798983021e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.9698769632423914 y2[1] (numeric) 1.9698769632425057 absolute error 1.1435297153639112e-13 relative error 5.805081924922237e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.110057291974357 y1[1] (closed_form) 0.746713862730169 y1[1] (numeric) 0.7467138627306709 absolute error 5.018208071305708e-13 relative error 6.720389592015753e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.9673914061365898 y2[1] (numeric) 1.9673914061367226 absolute error 1.3278267374516872e-13 relative error 6.74917422791416e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.12006183682561 y1[1] (closed_form) 0.7370483891850148 y1[1] (numeric) 0.7370483891855684 absolute error 5.535572000781031e-13 relative error 7.510459397247911e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.9648090227448147 y2[1] (numeric) 1.9648090227449668 absolute error 1.5210055437364645e-13 relative error 7.74123859433238e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.130066381676862 y1[1] (closed_form) 0.7274092344883685 y1[1] (numeric) 0.7274092344889734 absolute error 6.049605261182478e-13 relative error 8.316646221074628e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.962130071538034 y2[1] (numeric) 1.9621300715382064 absolute error 1.723066134218243e-13 relative error 8.781610145078718e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.140070926528114 y1[1] (closed_form) 0.717797363424022 y1[1] (numeric) 0.7177973634246783 absolute error 6.5625282985593e-13 relative error 9.142591813453959e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.9593548206526958 y2[1] (numeric) 1.95935482065289 absolute error 1.9406698470447736e-13 relative error 9.904637111099164e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.150075471379367 y1[1] (closed_form) 0.7082137380449465 y1[1] (numeric) 0.7082137380456537 absolute error 7.072120666862247e-13 relative error 9.985856369272263e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y2[1] (closed_form) 1.9564835478638913 y2[1] (numeric) 1.9564835478641076 absolute error 2.162714451969805e-13 relative error 1.1054089641239655e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.16008001623062 y1[1] (closed_form) 0.698659317577 y1[1] (numeric) 0.6986593175777576 absolute error 7.576161920042068e-13 relative error 1.0843857269830359e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.9535165405575514 y2[1] (numeric) 1.9535165405577908 absolute error 2.3936408410918375e-13 relative error 1.2252984765660958e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.170084561081872 y1[1] (closed_form) 0.6891350583229183 y1[1] (numeric) 0.6891350583237259 absolute error 8.075762281123389e-13 relative error 1.1718693140901282e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.9504540957016834 y2[1] (numeric) 1.950454095701948 absolute error 2.646771690706373e-13 relative error 1.3570028110577947e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.180089105933124 y1[1] (closed_form) 0.6796419135665995 y1[1] (numeric) 0.6796419135674563 absolute error 8.567591081032333e-13 relative error 1.260603695859728e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.9472965198166463 y2[1] (numeric) 1.9472965198169367 absolute error 2.9043434324194095e-13 relative error 1.491474669041609e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.190093650784377 y1[1] (closed_form) 0.6701808334776884 y1[1] (numeric) 0.6701808334785943 absolute error 9.058309657916652e-13 relative error 1.3516217124431117e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.9440441289444723 y2[1] (numeric) 1.9440441289447898 absolute error 3.1752378504279477e-13 relative error 1.6333157273296865e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.20009819563563 y1[1] (closed_form) 0.6607527650164748 y1[1] (numeric) 0.6607527650174292 absolute error 9.543477119677846e-13 relative error 1.4443340421647563e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.9406972486172334 y2[1] (numeric) 1.9406972486175789 absolute error 3.455014052633487e-13 relative error 1.780295228993198e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.210102740486882 y1[1] (closed_form) 0.651358651839112 y1[1] (numeric) 0.6513586518401143 absolute error 1.0023093466315913e-12 relative error 1.538797932293629e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.9372562138244582 y2[1] (numeric) 1.9372562138248326 absolute error 3.743672039036028e-13 relative error 1.9324609787393127e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.220107285338134 y1[1] (closed_form) 0.6419994342031661 y1[1] (numeric) 0.6419994342042158 absolute error 1.0497158697830855e-12 relative error 1.6350728892556845e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.9337213689796044 y2[1] (numeric) 1.9337213689800088 absolute error 4.04343225568482e-13 relative error 2.0910107942896026e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.230111830189387 y1[1] (closed_form) 0.6326760488735054 y1[1] (numeric) 0.632676048874602 absolute error 1.0966783037247296e-12 relative error 1.7333962707729986e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.9300930678855857 y2[1] (numeric) 1.9300930678860209 absolute error 4.3520742565306136e-13 relative error 2.2548520218759737e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.240116375040639 y1[1] (closed_form) 0.62338942902854 y1[1] (numeric) 0.6233894290296832 absolute error 1.1431966484565237e-12 relative error 1.8338402854184201e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.9263716736993586 y2[1] (numeric) 1.9263716736998262 absolute error 4.676259379721159e-13 relative error 2.4274959207331894e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.250120919891891 y1[1] (closed_form) 0.6141405041668193 y1[1] (numeric) 0.6141405041680087 absolute error 1.1893819262809302e-12 relative error 1.9366609403079815e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.9225575588955757 y2[1] (numeric) 1.922557558896077 absolute error 5.013767179207207e-13 relative error 2.6078632371804745e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.260125464743144 y1[1] (closed_form) 0.6049302000139989 y1[1] (numeric) 0.6049302000152337 absolute error 1.2347900479880991e-12 relative error 2.041210784251678e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.9186511052293036 y2[1] (numeric) 1.9186511052298385 absolute error 5.349054532644004e-13 relative error 2.7879245570312917e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.270130009594396 y1[1] (closed_form) 0.5957594384301843 y1[1] (numeric) 0.5957594384314638 absolute error 1.279532035880493e-12 relative error 2.1477327144862992e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.9146527036978136 y2[1] (numeric) 1.9146527036983838 absolute error 5.702105454474804e-13 relative error 2.9781408625502655e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.280134554445649 y1[1] (closed_form) 0.5866291373176624 y1[1] (numeric) 0.5866291373189865 absolute error 1.3240519791679617e-12 relative error 2.257051167322058e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.9105627545014456 y2[1] (numeric) 1.9105627545020516 absolute error 6.059597268404104e-13 relative error 3.171629539059728e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.290139099296901 y1[1] (closed_form) 0.5775402105290275 y1[1] (numeric) 0.5775402105303958 absolute error 1.3683498778505054e-12 relative error 2.369272048775782e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.906381667003554 y2[1] (numeric) 1.9063816670041964 absolute error 6.423750420481156e-13 relative error 3.369603543543298e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.300143644148154 y1[1] (closed_form) 0.5684935677757148 y1[1] (numeric) 0.5684935677771265 absolute error 1.4116485758108865e-12 relative error 2.483139046469947e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.9021098596895327 y2[1] (numeric) 1.902109859690212 absolute error 6.792344464656708e-13 relative error 3.570952765980284e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.309986825372773 y1[1] (closed_form) 0.5596349841057404 y1[1] (numeric) 0.559634984107194 absolute error 1.4536150061417175e-12 relative error 2.5974341265753745e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.8978188307094301 y2[1] (numeric) 1.8978188307101465 absolute error 7.16315895488151e-13 relative error 3.7744166297495454e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.319991370224026 y1[1] (closed_form) 0.5506749032709053 y1[1] (numeric) 0.5506749032724008 absolute error 1.4954704141700859e-12 relative error 2.7157046839928113e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.8933683212703425 y2[1] (numeric) 1.893368321271097 absolute error 7.545075675352564e-13 relative error 3.985001539631891e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.329995915075278 y1[1] (closed_form) 0.5417597954222212 y1[1] (numeric) 0.5417597954237579 absolute error 1.5366596883836792e-12 relative error 2.836422527784812e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.888828394521977 y2[1] (numeric) 1.8888283945227715 absolute error 7.94475596421762e-13 relative error 4.206181984164989e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.34000045992653 y1[1] (closed_form) 0.5328905528735712 y1[1] (numeric) 0.5328905528751484 absolute error 1.5771828287824974e-12 relative error 2.959674965671019e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.8841995048659788 y2[1] (numeric) 1.8841995048668139 absolute error 8.351097591230427e-13 relative error 4.4321726917258865e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.350005004777783 y1[1] (closed_form) 0.5240680633481769 y1[1] (numeric) 0.5240680633497937 absolute error 1.6168177907616155e-12 relative error 3.0851294017652145e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.8794821156082966 y2[1] (numeric) 1.8794821156091732 absolute error 8.766321002440236e-13 relative error 4.66422155850257e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.360009549629035 y1[1] (closed_form) 0.5152932098897454 y1[1] (numeric) 0.5152932098914016 absolute error 1.6562307081358085e-12 relative error 3.214152013550079e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.8746766989128116 y2[1] (numeric) 1.8746766989137311 absolute error 9.194867089945546e-13 relative error 4.9047748314565174e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.370014094480288 y1[1] (closed_form) 0.5065668707740862 y1[1] (numeric) 0.5065668707757812 absolute error 1.6949774916952265e-12 relative error 3.3460093612223924e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.8697837357540799 y2[1] (numeric) 1.8697837357550424 absolute error 9.625633623500107e-13 relative error 5.147993021566266e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.38001863933154 y1[1] (closed_form) 0.49788991942120453 y1[1] (numeric) 0.49788991942293787 absolute error 1.7333356971960256e-12 relative error 3.4813633086024777e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.8648037158691881 y2[1] (numeric) 1.864803715870196 absolute error 1.0078604617547171e-12 relative error 5.404646361319329e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.390023184182793 y1[1] (closed_form) 0.48926322430787983 y1[1] (numeric) 0.48926322430965036 absolute error 1.7705281685209684e-12 relative error 3.618764052878873e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.85973713770874 y2[1] (numeric) 1.8597371377097935 absolute error 1.0536016503692736e-12 relative error 5.6653256474049175e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.400027729034045 y1[1] (closed_form) 0.48068764888074067 y1[1] (numeric) 0.4806876488825475 absolute error 1.806832461426211e-12 relative error 3.758849360147568e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.8545845083869628 y2[1] (numeric) 1.8545845083880617 absolute error 1.09889874977398e-12 relative error 5.925309657254467e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.410032273885298 y1[1] (closed_form) 0.47216405146984175 y1[1] (numeric) 0.4721640514716842 absolute error 1.8424706205166785e-12 relative error 3.902183181419862e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.8493463436309527 y2[1] (numeric) 1.8493463436320985 absolute error 1.1457501614131615e-12 relative error 6.195433134302086e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.42003681873655 y1[1] (closed_form) 0.4636932852027542 y1[1] (numeric) 0.4636932852046313 absolute error 1.8771095788849834e-12 relative error 4.048170717124359e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.8440231677290533 y2[1] (numeric) 1.8440231677302472 absolute error 1.1939338406818933e-12 relative error 6.474614102339309e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.430041363587803 y1[1] (closed_form) 0.4552761979191752 y1[1] (numeric) 0.4552761979210864 absolute error 1.911248936892207e-12 relative error 4.1979988095742917e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.838615513478382 y2[1] (numeric) 1.8386155134796252 absolute error 1.2432277429752503e-12 relative error 6.761760323795223e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.440045908439055 y1[1] (closed_form) 0.44691363208606816 y1[1] (numeric) 0.4469136320880128 absolute error 1.944666649933424e-12 relative error 4.3513254246827574e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.8331239221315005 y2[1] (numeric) 1.8331239221327926 absolute error 1.2920775560587572e-12 relative error 7.048500870341426e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.450050453290308 y1[1] (closed_form) 0.4386064247133401 y1[1] (numeric) 0.4386064247153175 absolute error 1.9774182291598663e-12 relative error 4.5084114544200923e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.827548943342242 y2[1] (numeric) 1.8275489433435856 absolute error 1.3435919044013644e-12 relative error 7.351879189315655e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.46005499814156 y1[1] (closed_form) 0.43035540727006516 y1[1] (numeric) 0.4303554072720742 absolute error 2.0090595853616833e-12 relative error 4.668373050326095e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.821891135110695 y2[1] (numeric) 1.8218911351120903 absolute error 1.3953282973488967e-12 relative error 7.658680974174228e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.470059542992812 y1[1] (closed_form) 0.4221614056012625 y1[1] (numeric) 0.4221614056033026 absolute error 2.0401458300511877e-12 relative error 4.832620421910701e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.816151063727354 y2[1] (numeric) 1.8161510637288005 absolute error 1.446620601086579e-12 relative error 7.965309879661806e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.480064087844065 y1[1] (closed_form) 0.4140252398452381 y1[1] (numeric) 0.41402523984730827 absolute error 2.070177362867298e-12 relative error 5.000123576140254e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.8103293037164392 y2[1] (numeric) 1.810329303717938 absolute error 1.4988010832439613e-12 relative error 8.279162692483964e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.490068632695317 y1[1] (closed_form) 0.4059477243514962 y1[1] (numeric) 0.4059477243535956 absolute error 2.099431739566171e-12 relative error 5.171680030772498e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.8044264377783925 y2[1] (numeric) 1.8044264377799446 absolute error 1.5520917884259688e-12 relative error 8.601579737087549e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.50007317754657 y1[1] (closed_form) 0.3979296675992319 y1[1] (numeric) 0.3979296676013596 absolute error 2.1277424266941125e-12 relative error 5.347031397611279e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.7984430567315548 y2[1] (numeric) 1.7984430567331604 absolute error 1.6056045382129014e-12 relative error 8.927747432442408e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.510077722397822 y1[1] (closed_form) 0.3899718721164096 y1[1] (numeric) 0.3899718721185647 absolute error 2.1551094242511226e-12 relative error 5.5263201742094e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.7923797594530302 y2[1] (numeric) 1.7923797594546902 absolute error 1.660005466419534e-12 relative error 9.261460679103562e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.520082267249075 y1[1] (closed_form) 0.3820751343994383 y1[1] (numeric) 0.3820751344016201 absolute error 2.1818102879933576e-12 relative error 5.710422091253906e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.7862371528187457 y2[1] (numeric) 1.7862371528204608 absolute error 1.7150725284409418e-12 relative error 9.601594758761435e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.530086812100327 y1[1] (closed_form) 0.3742402448334503 y1[1] (numeric) 0.3742402448356579 absolute error 2.2075674621646613e-12 relative error 5.898797611002804e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.7800158516427085 y2[1] (numeric) 1.7800158516444793 absolute error 1.7708057242771247e-12 relative error 9.948258172211871e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.54009135695158 y1[1] (closed_form) 0.3664679876131912 y1[1] (numeric) 0.3664679876154237 absolute error 2.232491969067496e-12 relative error 6.091915377405086e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.7737164786154684 y2[1] (numeric) 1.773716478617297 absolute error 1.828537321557633e-12 relative error 1.030907331359382e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.550095901802832 y1[1] (closed_form) 0.3587591406645301 y1[1] (numeric) 0.35875914066678655 absolute error 2.2564727863993994e-12 relative error 6.289659358141319e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.7673396642417933 y2[1] (numeric) 1.767339664243679 absolute error 1.885602785023366e-12 relative error 1.0669158980440292e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.560100446654085 y1[1] (closed_form) 0.3511144755665965 y1[1] (numeric) 0.351114475568876 absolute error 2.2795099141603714e-12 relative error 6.492212861579992e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.7608860467775624 y2[1] (numeric) 1.760886046779506 absolute error 1.943556426908799e-12 relative error 1.1037377634205945e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.570104991505337 y1[1] (closed_form) 0.3435347574745533 y1[1] (numeric) 0.34353475747685475 absolute error 2.3014368188967183e-12 relative error 6.699283751709441e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.754356272165882 y2[1] (numeric) 1.7543562721678847 absolute error 2.0026202918188574e-12 relative error 1.1415128862887555e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.58010953635659 y1[1] (closed_form) 0.33602074504301227 y1[1] (numeric) 0.3360207450453348 absolute error 2.3225310563645962e-12 relative error 6.911868063584292e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.7477509939724343 y2[1] (numeric) 1.7477509939744955 absolute error 2.0612400675190656e-12 relative error 1.1793671264543853e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.590114081207842 y1[1] (closed_form) 0.3285731903501 y1[1] (numeric) 0.3285731903524427 absolute error 2.342681604261543e-12 relative error 7.129862304850186e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.7410708733200604 y2[1] (numeric) 1.7410708733221818 absolute error 2.121414155453749e-12 relative error 1.218453647098472e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.600118626059094 y1[1] (closed_form) 0.32119283882218275 y1[1] (numeric) 0.3211928388245446 absolute error 2.3618329514363268e-12 relative error 7.353317589822959e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.73431657882259 y2[1] (numeric) 1.7343165788247727 absolute error 2.1826984664130578e-12 relative error 1.2585352023186387e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.610123170910347 y1[1] (closed_form) 0.3138804291592563 y1[1] (numeric) 0.31388042916163583 absolute error 2.379541008679098e-12 relative error 7.581042931070319e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.7274887865179185 y2[1] (numeric) 1.7274887865201622 absolute error 2.2437607327674414e-12 relative error 1.2988569015780224e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.6201277157616 y1[1] (closed_form) 0.3066366932610094 y1[1] (numeric) 0.3066366932634062 absolute error 2.396804976712019e-12 relative error 7.816432375468701e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.7205881798003437 y2[1] (numeric) 1.720588179802649 absolute error 2.305267088331675e-12 relative error 1.339813393696089e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.630132260612852 y1[1] (closed_form) 0.2994623561535681 y1[1] (numeric) 0.2994623561559811 absolute error 2.4130142328715465e-12 relative error 8.057821570181336e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.7136154493521631 y2[1] (numeric) 1.713615449354531 absolute error 2.367883666920534e-12 relative error 1.3818057416649216e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.640136805464104 y1[1] (closed_form) 0.29235813591692794 y1[1] (numeric) 0.29235813591935605 absolute error 2.4281132660064486e-12 relative error 8.305270035982117e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.7065712930745454 y2[1] (numeric) 1.706571293076976 absolute error 2.4307222901143177e-12 relative error 1.424330937698564e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.650141350315357 y1[1] (closed_form) 0.2853247436130808 y1[1] (numeric) 0.285324743615523 absolute error 2.442213098419188e-12 relative error 8.55941572922603e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.6994564160176755 y2[1] (numeric) 1.69945641602017 absolute error 2.4944490917278017e-12 relative error 1.4677923294867585e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.659984531539976 y1[1] (closed_form) 0.2784746000541789 y1[1] (numeric) 0.2784746000566339 absolute error 2.4549806632023774e-12 relative error 8.815815383969476e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.6923879672792004 y2[1] (numeric) 1.6923879672817577 absolute error 2.5572877149215856e-12 relative error 1.511052881705876e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.669989076391229 y1[1] (closed_form) 0.2715837979044182 y1[1] (numeric) 0.2715837979068852 absolute error 2.466971071868329e-12 relative error 9.083645971902051e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.6851349038872918 y2[1] (numeric) 1.685134903889914 absolute error 2.6221247395596947e-12 relative error 1.5560325369268313e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.679993621242481 y1[1] (closed_form) 0.264765902992663 y1[1] (numeric) 0.2647659029951409 absolute error 2.477906768660887e-12 relative error 9.358859054934852e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.6778132652861006 y2[1] (numeric) 1.6778132652887876 absolute error 2.686961764197804e-12 relative error 1.6014665158459237e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.689998166093734 y1[1] (closed_form) 0.2580215977225797 y1[1] (numeric) 0.2580215977250676 absolute error 2.4878987758825133e-12 relative error 9.64221134138336e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.6704237842990408 y2[1] (numeric) 1.6704237843017928 absolute error 2.752020833440838e-12 relative error 1.6474985924578817e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.700002710944986 y1[1] (closed_form) 0.25135155713224167 y1[1] (numeric) 0.2513515571347384 absolute error 2.4967250489282833e-12 relative error 9.93319905161638e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y2[1] (closed_form) 1.6629672005398763 y2[1] (numeric) 1.6629672005426952 absolute error 2.8188562595232725e-12 relative error 1.6950762820867067e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.710007255796238 y1[1] (closed_form) 0.2447564488265639 y1[1] (numeric) 0.2447564488290684 absolute error 2.504524365676275e-12 relative error 1.0232720639981986e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136362663221634 y2[1] (closed_form) 1.6554442603386939 y2[1] (numeric) 1.65544426034158 absolute error 2.886135774815557e-12 relative error 1.7434206901204097e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.720011800647491 y1[1] (closed_form) 0.2382369329104831 y1[1] (numeric) 0.23823693291299425 absolute error 2.5111579482484103e-12 relative error 1.0540590485153581e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136362663221634 y2[1] (closed_form) 1.6478557166672005 y2[1] (numeric) 1.6478557166701544 absolute error 2.9538593793176915e-12 relative error 1.7925473386055256e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.730016345498743 y1[1] (closed_form) 0.2317936619228872 y1[1] (numeric) 0.23179366192540413 absolute error 2.516931107976461e-12 relative error 1.0858498403695742e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136362663221634 y2[1] (closed_form) 1.6402023290633616 y2[1] (numeric) 1.6402023290663825 absolute error 3.020916850005051e-12 relative error 1.8417952446940782e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.740020890349996 y1[1] (closed_form) 0.22542728077130325 y1[1] (numeric) 0.22542728077382465 absolute error 2.5213997556505774e-12 relative error 1.1184980571222637e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136362663221634 y2[1] (closed_form) 1.632484863555376 y2[1] (numeric) 1.6324848635584643 absolute error 3.0884184099022605e-12 relative error 1.891851176602041e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.750025435201248 y1[1] (closed_form) 0.21913842666734806 y1[1] (numeric) 0.21913842666987268 absolute error 2.5246194024219903e-12 relative error 1.1520660437406353e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136362663221634 y2[1] (closed_form) 1.6247040925850058 y2[1] (numeric) 1.6247040925881617 absolute error 3.15591996979947e-12 relative error 1.942458312379951e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.7600299800525 y1[1] (closed_form) 0.21292772906294977 y1[1] (numeric) 0.2129277290654767 absolute error 2.5269231151980875e-12 relative error 1.1867515453804659e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136362663221634 y2[1] (closed_form) 1.6168607949302618 y2[1] (numeric) 1.6168607949334857 absolute error 3.2238656189065296e-12 relative error 1.9939042550942557e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.770034524903753 y1[1] (closed_form) 0.206795809587346 y1[1] (numeric) 0.20679580958987406 absolute error 2.5280610937983283e-12 relative error 1.2224914512740797e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136362663221634 y2[1] (closed_form) 1.608955755627456 y2[1] (numeric) 1.6089557556307479 absolute error 3.291811268013589e-12 relative error 2.0459302603568847e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.780039069755006 y1[1] (closed_form) 0.20074328198486513 y1[1] (numeric) 0.20074328198739314 absolute error 2.528005582647097e-12 relative error 1.25932263219533e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136362663221634 y2[1] (closed_form) 1.6009897658926273 y2[1] (numeric) 1.600989765895989 absolute error 3.361755318564974e-12 relative error 2.0997981312457903e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.790043614606258 y1[1] (closed_form) 0.19477075205349603 y1[1] (numeric) 0.19477075205602318 absolute error 2.5271451598030126e-12 relative error 1.2974972541610883e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136362663221634 y2[1] (closed_form) 1.592963623042348 y2[1] (numeric) 1.592963623045778 absolute error 3.4299230122769586e-12 relative error 2.1531709592503204e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.80004815945751 y1[1] (closed_form) 0.1888788175842545 y1[1] (numeric) 0.1888788175867794 absolute error 2.5248969581781466e-12 relative error 1.336781429739652e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136362663221634 y2[1] (closed_form) 1.5848781304139206 y2[1] (numeric) 1.5848781304174204 absolute error 3.4998670628283435e-12 relative error 2.2082878144796456e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.810052704308763 y1[1] (closed_form) 0.18306806830134958 y1[1] (numeric) 0.18306806830387107 absolute error 2.5214830223774243e-12 relative error 1.3773472598327712e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136362663221634 y2[1] (closed_form) 1.5767340972849722 y2[1] (numeric) 1.5767340972885422 absolute error 3.5700331579846534e-12 relative error 2.2641948088342894e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.820057249160016 y1[1] (closed_form) 0.17733908580315827 y1[1] (numeric) 0.17733908580567515 absolute error 2.51687559682523e-12 relative error 1.4192447115797674e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136362663221634 y2[1] (closed_form) 1.568532338792453 y2[1] (numeric) 1.5685323387960937 absolute error 3.640643342350813e-12 relative error 2.3210508653927986e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.830061794011268 y1[1] (closed_form) 0.17169244350401336 y1[1] (numeric) 0.17169244350652454 absolute error 2.511185703824026e-12 relative error 1.4626070038809404e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136362663221634 y2[1] (closed_form) 1.5602736758510503 y2[1] (numeric) 1.560273675854762 absolute error 3.711697615926823e-12 relative error 2.378876009622017e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.84006633886252 y1[1] (closed_form) 0.16612870657681023 y1[1] (numeric) 0.1661287065793146 absolute error 2.504385587798197e-12 relative error 1.507497192630152e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136362663221634 y2[1] (closed_form) 1.551958935071022 y2[1] (numeric) 1.5519589350748035 absolute error 3.781641666478208e-12 relative error 2.436689258343778e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.850070883713773 y1[1] (closed_form) 0.16064843189643896 y1[1] (numeric) 0.16064843189893524 absolute error 2.4962809597184332e-12 relative error 1.553878198654093e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136362663221634 y2[1] (closed_form) 1.543588948675461 y2[1] (numeric) 1.5435889486793142 absolute error 3.853140029264068e-12 relative error 2.496221570237602e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.860075428565025 y1[1] (closed_form) 0.15525216798404617 y1[1] (numeric) 0.15525216798653313 absolute error 2.486955086311582e-12 relative error 1.601881067816807e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136362663221634 y2[1] (closed_form) 1.5351645544169998 y2[1] (numeric) 1.5351645544209238 absolute error 3.923972258235153e-12 relative error 2.55605970509483e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.870079973416278 y1[1] (closed_form) 0.14994045495213393 y1[1] (numeric) 0.14994045495461042 absolute error 2.47649123430449e-12 relative error 1.6516498066482922e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136362663221634 y2[1] (closed_form) 1.5266865954939568 y2[1] (numeric) 1.5266865954979516 absolute error 3.994804487206238e-12 relative error 2.6166500046551636e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.88008451826753 y1[1] (closed_form) 0.1447138244504994 y1[1] (numeric) 0.1447138244529643 absolute error 2.464889403697157e-12 relative error 1.7032853723939092e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136362663221634 y2[1] (closed_form) 1.5181559204659432 y2[1] (numeric) 1.5181559204700095 absolute error 4.066302849992098e-12 relative error 2.6784487648304884e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.890089063118783 y1[1] (closed_form) 0.1395727996130226 y1[1] (numeric) 0.13957279961547475 absolute error 2.4521495944895833e-12 relative error 1.756896473588246e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136362663221634 y2[1] (closed_form) 1.509573383168929 y2[1] (numeric) 1.509573383173067 absolute error 4.1380232573828835e-12 relative error 2.741187214560087e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.900093607970035 y1[1] (closed_form) 0.1345178950053053 y1[1] (numeric) 0.13451789500774355 absolute error 2.438244051106153e-12 relative error 1.8125796950732764e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136362663221634 y2[1] (closed_form) 1.5009398426297835 y2[1] (numeric) 1.5009398426339928 absolute error 4.2092995755638185e-12 relative error 2.804442560595061e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.910098152821288 y1[1] (closed_form) 0.12954961657316855 y1[1] (numeric) 0.1295496165755915 absolute error 2.4229507289419416e-12 relative error 1.8702878426301474e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136362663221634 y2[1] (closed_form) 1.4922561629802944 y2[1] (numeric) 1.492256162984575 absolute error 4.2805758937447536e-12 relative error 2.8685261953924193e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.92010269767254 y1[1] (closed_form) 0.12466846159201195 y1[1] (numeric) 0.12466846159441854 absolute error 2.4065888171165284e-12 relative error 1.9303910438810844e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136362663221634 y2[1] (closed_form) 1.4835232133706766 y2[1] (numeric) 1.48352321337503 absolute error 4.353406524160164e-12 relative error 2.934505159692713e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.930107242523793 y1[1] (closed_form) 0.11987491861704203 y1[1] (numeric) 0.11987491861943103 absolute error 2.3890056599640275e-12 relative error 1.9929153550427473e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136362663221634 y2[1] (closed_form) 1.4747418678825805 y2[1] (numeric) 1.4747418678870061 absolute error 4.425571020760799e-12 relative error 3.0009123068533945e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.940111787375045 y1[1] (closed_form) 0.11516946743437206 y1[1] (numeric) 0.1151694674367424 absolute error 2.370340035362517e-12 relative error 2.0581323228860346e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136362663221634 y2[1] (closed_form) 1.4659130054416032 y2[1] (numeric) 1.4659130054461018 absolute error 4.498623695781134e-12 relative error 3.0688203727518834e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.950116332226298 y1[1] (closed_form) 0.11055257901300097 y1[1] (numeric) 0.11055257901535119 absolute error 2.350217243041186e-12 relative error 2.1258818781285967e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136362663221634 y2[1] (closed_form) 1.4570375097293176 y2[1] (numeric) 1.4570375097338892 absolute error 4.57167637080147e-12 relative error 3.1376518039338443e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.96012087707755 y1[1] (closed_form) 0.106024715457673 y1[1] (numeric) 0.10602471546000204 absolute error 2.3290397388464612e-12 relative error 2.1966951090533758e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136362663221634 y2[1] (closed_form) 1.4481162690948248 y2[1] (numeric) 1.4481162690994684 absolute error 4.64361882279718e-12 relative error 3.206661593339995e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.970125421928802 y1[1] (closed_form) 0.10158632996262662 y1[1] (numeric) 0.10158632996493333 absolute error 2.3067103782636877e-12 relative error 2.2706897464573443e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136362663221634 y2[1] (closed_form) 1.439150176465839 y2[1] (numeric) 1.4391501764705545 absolute error 4.71556127479289e-12 relative error 3.276629049494351e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.980129966780055 y1[1] (closed_form) 0.0972378667662337 y1[1] (numeric) 0.09723786676851678 absolute error 2.2830903834147875e-12 relative error 2.347943717135927e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136362663221634 y2[1] (closed_form) 1.430140129259314 y2[1] (numeric) 1.4301401292641018 absolute error 4.787725771393525e-12 relative error 3.347731927411297e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 8.990134511631307 y1[1] (closed_form) 0.09297976110653561 y1[1] (numeric) 0.092979761108794 absolute error 2.258387921116878e-12 relative error 2.4289026926292394e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136362663221634 y2[1] (closed_form) 1.4210870292916216 y2[1] (numeric) 1.4210870292964812 absolute error 4.859668223389235e-12 relative error 3.41968375139675e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.00013905648256 y1[1] (closed_form) 0.08881243917768078 y1[1] (numeric) 0.08881243917991309 absolute error 2.2323115578259944e-12 relative error 2.51351227203654e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136362663221634 y2[1] (closed_form) 1.4119917826882866 y2[1] (numeric) 1.411991782693219 absolute error 4.9322768091997204e-12 relative error 3.493134216269428e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.010143601333812 y1[1] (closed_form) 0.08473631808726612 y1[1] (numeric) 0.08473631808947113 absolute error 2.2050139492080234e-12 relative error 2.6022064670513286e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136362663221634 y2[1] (closed_form) 1.4028552997932953 y2[1] (numeric) 1.4028552997983008 absolute error 5.005551528824981e-12 relative error 3.5681167755238386e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.019986782558432 y1[1] (closed_form) 0.08081534317180006 y1[1] (numeric) 0.0808153431739771 absolute error 2.1770363289874695e-12 relative error 2.6938403569721288e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136362663221634 y2[1] (closed_form) 1.39382682317438 y2[1] (numeric) 1.3938268231794568 absolute error 5.076827847005916e-12 relative error 3.6423662987369273e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 9.029991327409684 y1[1] (closed_form) 0.07692135141695644 y1[1] (numeric) 0.07692135141910371 absolute error 2.1472684741397075e-12 relative error 2.7915116343969567e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136362663221634 y2[1] (closed_form) 1.3846112433745301 y2[1] (numeric) 1.3846112433796796 absolute error 5.149436432816401e-12 relative error 3.7190485469887994e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 Finished! Maximum Time Reached before Solution Completed! diff ( y1 , x , 1 ) = neg ( y2 ) + 1.0 ; diff ( y2 , x , 1 ) = y1 - 1.0 ; Iterations 47751 Total Elapsed Time 3 Minutes 0 Seconds Elapsed Time(since restart) 3 Minutes 0 Seconds Expected Time Remaining 19.41533605127833 Seconds Optimized Time Remaining 19.41533605127833 Seconds Expected Total Time 3 Minutes 19.41533605127833 Seconds Time to Timeout 0.0 Seconds Percent Done 90.26387015375498%