##############ECHO OF PROBLEM################# ##############temp/sub_full_linpostode.ode################# diff ( y , x , 1 ) = sin ( 0.3 * x + 0.1 ) - ( 0.1 * x + 0.2 ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=40; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=c(0.1); x_end=c(5.0); array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; 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 */ double exact_soln_y (double x) { return(c(-0.05) * c(x) * c(x) - c(0.2) * c(x) - cos(c(0.3) * c(x) + c(0.1)) / c(0.3)); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] = 0.1 y[1] (closed_form) = -3.325706312382627 y[1] (numeric) = -3.325706312382627 absolute error = 0 relative error = 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 = 0.4285 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.11 y[1] (closed_form) = -3.326500099483691 y[1] (numeric) = -3.326500099483691 absolute error = 0 relative error = 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 = 0.4381 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.12 y[1] (closed_form) = -3.32727415155116 y[1] (numeric) = -3.327274151551161 absolute error = 1.77635683940025e-15 relative error = 5.338775100849809e-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 = 0.4478 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.13 y[1] (closed_form) = -3.328028480653558 y[1] (numeric) = -3.328028480653558 absolute error = 4.440892098500626e-16 relative error = 1.334391254256491e-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 = 0.4574 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.14 y[1] (closed_form) = -3.328763099126913 y[1] (numeric) = -3.328763099126914 absolute error = 4.440892098500626e-16 relative error = 1.334096769958009e-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 = 0.467 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.15 y[1] (closed_form) = -3.329478019574649 y[1] (numeric) = -3.32947801957465 absolute error = 1.332267629550188e-15 relative error = 4.001430920154833e-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 = 0.4766 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1600000000000001 y[1] (closed_form) = -3.330173254867474 y[1] (numeric) = -3.330173254867475 absolute error = 1.332267629550188e-15 relative error = 4.000595547402552e-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 = 0.4862 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1700000000000001 y[1] (closed_form) = -3.330848818143258 y[1] (numeric) = -3.330848818143259 absolute error = 8.881784197001252e-16 relative error = 2.666522763993923e-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 = 0.4957 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1800000000000001 y[1] (closed_form) = -3.331504722806923 y[1] (numeric) = -3.331504722806924 absolute error = 1.77635683940025e-15 relative error = 5.331995561163727e-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 = 0.5053 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1900000000000001 y[1] (closed_form) = -3.332140982530316 y[1] (numeric) = -3.332140982530318 absolute error = 2.220446049250313e-15 relative error = 6.663721795961289e-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 = 0.5148 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2000000000000001 y[1] (closed_form) = -3.33275761125209 y[1] (numeric) = -3.332757611252092 absolute error = 2.220446049250313e-15 relative error = 6.662488870338547e-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 = 0.5243 Order of pole (three term test) = 32.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2100000000000001 y[1] (closed_form) = -3.333354623177575 y[1] (numeric) = -3.333354623177577 absolute error = 1.77635683940025e-15 relative error = 5.329036481893754e-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 = 0.5338 Order of pole (three term test) = 32.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2200000000000001 y[1] (closed_form) = -3.333932032778653 y[1] (numeric) = -3.333932032778656 absolute error = 2.220446049250313e-15 relative error = 6.660141920768824e-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 = 0.5432 Order of pole (three term test) = 32.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2300000000000001 y[1] (closed_form) = -3.334489854793627 y[1] (numeric) = -3.33448985479363 absolute error = 2.664535259100376e-15 relative error = 7.990833306239837e-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 = 0.5527 Order of pole (three term test) = 32.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2400000000000001 y[1] (closed_form) = -3.335028104227088 y[1] (numeric) = -3.33502810422709 absolute error = 2.220446049250313e-15 relative error = 6.657953036245595e-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 = 0.5621 Order of pole (three term test) = 32.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2500000000000001 y[1] (closed_form) = -3.335546796349778 y[1] (numeric) = -3.33554679634978 absolute error = 1.77635683940025e-15 relative error = 5.325534156331395e-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 = 0.5715 Order of pole (three term test) = 32.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2600000000000001 y[1] (closed_form) = -3.336045946698458 y[1] (numeric) = -3.33604594669846 absolute error = 2.220446049250313e-15 relative error = 6.655921665131123e-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 = 0.5809 Order of pole (three term test) = 32.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2700000000000001 y[1] (closed_form) = -3.336525571075761 y[1] (numeric) = -3.336525571075763 absolute error = 1.77635683940025e-15 relative error = 5.32397190298625e-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 = 0.5902 Order of pole (three term test) = 32.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2800000000000001 y[1] (closed_form) = -3.336985685550058 y[1] (numeric) = -3.33698568555006 absolute error = 1.77635683940025e-15 relative error = 5.323237816369121e-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 = 0.5996 Order of pole (three term test) = 32.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2900000000000001 y[1] (closed_form) = -3.337426306455305 y[1] (numeric) = -3.337426306455306 absolute error = 1.332267629550188e-15 relative error = 3.991901265275263e-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 = 0.6089 Order of pole (three term test) = 32.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3000000000000002 y[1] (closed_form) = -3.337847450390901 y[1] (numeric) = -3.337847450390902 absolute error = 8.881784197001252e-16 relative error = 2.660931731904371e-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 = 0.6182 Order of pole (three term test) = 32.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3100000000000002 y[1] (closed_form) = -3.338249134221539 y[1] (numeric) = -3.338249134221541 absolute error = 2.220446049250313e-15 relative error = 6.651528870292387e-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 = 0.6275 Order of pole (three term test) = 32.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3200000000000002 y[1] (closed_form) = -3.338631375077051 y[1] (numeric) = -3.338631375077053 absolute error = 1.77635683940025e-15 relative error = 5.320613867888469e-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 = 0.6367 Order of pole (three term test) = 32.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3300000000000002 y[1] (closed_form) = -3.338994190352257 y[1] (numeric) = -3.338994190352258 absolute error = 1.332267629550188e-15 relative error = 3.990026797290223e-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 = 0.646 Order of pole (three term test) = 32.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3400000000000002 y[1] (closed_form) = -3.339337597706805 y[1] (numeric) = -3.339337597706808 absolute error = 2.220446049250313e-15 relative error = 6.649360791718516e-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 = 0.6552 Order of pole (three term test) = 32.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3500000000000002 y[1] (closed_form) = -3.339661615065017 y[1] (numeric) = -3.339661615065019 absolute error = 2.220446049250313e-15 relative error = 6.648715663988266e-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 = 0.6643 Order of pole (three term test) = 32.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3600000000000002 y[1] (closed_form) = -3.339966260615722 y[1] (numeric) = -3.339966260615725 absolute error = 2.664535259100376e-15 relative error = 7.977731064292755e-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 = 0.6735 Order of pole (three term test) = 32.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3700000000000002 y[1] (closed_form) = -3.340251552812096 y[1] (numeric) = -3.340251552812099 absolute error = 3.108624468950438e-15 relative error = 9.306557963675954e-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 = 0.6826 Order of pole (three term test) = 32.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3800000000000002 y[1] (closed_form) = -3.340517510371496 y[1] (numeric) = -3.340517510371499 absolute error = 2.664535259100376e-15 relative error = 7.97641458494871e-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 = 0.6918 Order of pole (three term test) = 32.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3900000000000002 y[1] (closed_form) = -3.34076415227529 y[1] (numeric) = -3.340764152275292 absolute error = 2.220446049250313e-15 relative error = 6.646521418574361e-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 = 0.7008 Order of pole (three term test) = 32.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4000000000000002 y[1] (closed_form) = -3.340991497768685 y[1] (numeric) = -3.340991497768688 absolute error = 2.664535259100376e-15 relative error = 7.975282968783106e-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 = 0.7099 Order of pole (three term test) = 32.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4100000000000003 y[1] (closed_form) = -3.341199566360558 y[1] (numeric) = -3.341199566360561 absolute error = 3.108624468950438e-15 relative error = 9.303917372216545e-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 = 0.7189 Order of pole (three term test) = 32.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4200000000000003 y[1] (closed_form) = -3.341388377823277 y[1] (numeric) = -3.34138837782328 absolute error = 2.664535259100376e-15 relative error = 7.974335688676118e-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 = 0.7279 Order of pole (three term test) = 32.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4300000000000003 y[1] (closed_form) = -3.341557952192523 y[1] (numeric) = -3.341557952192526 absolute error = 3.552713678800501e-15 relative error = 1.063190801904073e-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 = 0.7369 Order of pole (three term test) = 32.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4400000000000003 y[1] (closed_form) = -3.341708309767112 y[1] (numeric) = -3.341708309767116 absolute error = 3.552713678800501e-15 relative error = 1.063142964458228e-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 = 0.7459 Order of pole (three term test) = 32.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4500000000000003 y[1] (closed_form) = -3.34183947110881 y[1] (numeric) = -3.341839471108814 absolute error = 3.996802888650564e-15 relative error = 1.195988892705382e-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 = 0.7548 Order of pole (three term test) = 32.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4600000000000003 y[1] (closed_form) = -3.34195145704215 y[1] (numeric) = -3.341951457042154 absolute error = 3.996802888650564e-15 relative error = 1.195948816141094e-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 = 0.7637 Order of pole (three term test) = 32.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4700000000000003 y[1] (closed_form) = -3.342044288654242 y[1] (numeric) = -3.342044288654247 absolute error = 4.440892098500626e-15 relative error = 1.328795107107591e-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 = 0.7726 Order of pole (three term test) = 32.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4800000000000003 y[1] (closed_form) = -3.342117987294586 y[1] (numeric) = -3.342117987294591 absolute error = 4.884981308350689e-15 relative error = 1.461642385733077e-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 = 0.7814 Order of pole (three term test) = 32.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4900000000000003 y[1] (closed_form) = -3.342172574574878 y[1] (numeric) = -3.342172574574883 absolute error = 4.884981308350689e-15 relative error = 1.461618512913581e-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 = 0.7903 Order of pole (three term test) = 32.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5000000000000003 y[1] (closed_form) = -3.342208072368816 y[1] (numeric) = -3.342208072368821 absolute error = 4.884981308350689e-15 relative error = 1.461602988975016e-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 = 0.799 Order of pole (three term test) = 32.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5100000000000003 y[1] (closed_form) = -3.342224502811903 y[1] (numeric) = -3.342224502811908 absolute error = 5.329070518200751e-15 relative error = 1.594468149496619e-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 = 0.8078 Order of pole (three term test) = 32.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5200000000000004 y[1] (closed_form) = -3.342221888301249 y[1] (numeric) = -3.342221888301254 absolute error = 4.884981308350689e-15 relative error = 1.461596947063733e-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 = 0.8165 Order of pole (three term test) = 32.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5300000000000004 y[1] (closed_form) = -3.342200251495366 y[1] (numeric) = -3.342200251495371 absolute error = 4.440892098500626e-15 relative error = 1.328733099255104e-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 = 0.8252 Order of pole (three term test) = 32.07 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5400000000000004 y[1] (closed_form) = -3.34215961531397 y[1] (numeric) = -3.342159615313975 absolute error = 5.329070518200751e-15 relative error = 1.594499105842414e-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 = 0.8339 Order of pole (three term test) = 32.07 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5500000000000004 y[1] (closed_form) = -3.342100002937768 y[1] (numeric) = -3.342100002937773 absolute error = 5.773159728050814e-15 relative error = 1.727404842157955e-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 = 0.8426 Order of pole (three term test) = 32.07 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5600000000000004 y[1] (closed_form) = -3.342021437808254 y[1] (numeric) = -3.342021437808259 absolute error = 5.329070518200751e-15 relative error = 1.594565031185327e-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 = 0.8512 Order of pole (three term test) = 32.07 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5700000000000004 y[1] (closed_form) = -3.341923943627496 y[1] (numeric) = -3.341923943627502 absolute error = 6.217248937900877e-15 relative error = 1.860380141132821e-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 = 0.8598 Order of pole (three term test) = 32.07 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5800000000000004 y[1] (closed_form) = -3.341807544357925 y[1] (numeric) = -3.341807544357931 absolute error = 6.217248937900877e-15 relative error = 1.860444940462728e-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 = 0.8683 Order of pole (three term test) = 32.07 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5900000000000004 y[1] (closed_form) = -3.341672264222115 y[1] (numeric) = -3.341672264222122 absolute error = 7.105427357601002e-15 relative error = 2.126308864479571e-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 = 0.8768 Order of pole (three term test) = 32.07 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6000000000000004 y[1] (closed_form) = -3.34151812770257 y[1] (numeric) = -3.341518127702577 absolute error = 6.661338147750939e-15 relative error = 1.993506512062791e-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 = 0.8853 Order of pole (three term test) = 32.08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6100000000000004 y[1] (closed_form) = -3.341345159541499 y[1] (numeric) = -3.341345159541506 absolute error = 6.661338147750939e-15 relative error = 1.993609707973124e-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 = 0.8938 Order of pole (three term test) = 32.08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6200000000000004 y[1] (closed_form) = -3.341153384740597 y[1] (numeric) = -3.341153384740604 absolute error = 6.661338147750939e-15 relative error = 1.993724136752889e-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 = 0.9022 Order of pole (three term test) = 32.08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6300000000000004 y[1] (closed_form) = -3.340942828560818 y[1] (numeric) = -3.340942828560825 absolute error = 6.661338147750939e-15 relative error = 1.993849787193291e-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 = 0.9106 Order of pole (three term test) = 32.08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6400000000000005 y[1] (closed_form) = -3.34071351652215 y[1] (numeric) = -3.340713516522157 absolute error = 7.549516567451064e-15 relative error = 2.259851534743539e-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 = 0.9189 Order of pole (three term test) = 32.08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6500000000000005 y[1] (closed_form) = -3.34046547440338 y[1] (numeric) = -3.340465474403388 absolute error = 7.993605777301127e-15 relative error = 2.392961651168934e-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 = 0.9273 Order of pole (three term test) = 32.08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6600000000000005 y[1] (closed_form) = -3.340198728241869 y[1] (numeric) = -3.340198728241876 absolute error = 7.105427357601002e-15 relative error = 2.127246890289364e-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 = 0.9356 Order of pole (three term test) = 32.09 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6700000000000005 y[1] (closed_form) = -3.339913304333311 y[1] (numeric) = -3.339913304333318 absolute error = 6.661338147750939e-15 relative error = 1.994464388973302e-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 = 0.9438 Order of pole (three term test) = 32.09 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6800000000000005 y[1] (closed_form) = -3.339609229231503 y[1] (numeric) = -3.33960922923151 absolute error = 7.105427357601002e-15 relative error = 2.127622386298194e-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 = 0.952 Order of pole (three term test) = 32.09 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6900000000000005 y[1] (closed_form) = -3.3392865297481 y[1] (numeric) = -3.339286529748107 absolute error = 6.661338147750939e-15 relative error = 1.994838744267159e-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 = 0.9602 Order of pole (three term test) = 32.09 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7000000000000005 y[1] (closed_form) = -3.338945232952379 y[1] (numeric) = -3.338945232952385 absolute error = 6.661338147750939e-15 relative error = 1.995042650598021e-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 = 0.9684 Order of pole (three term test) = 32.09 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7100000000000005 y[1] (closed_form) = -3.338585366170987 y[1] (numeric) = -3.338585366170993 absolute error = 6.661338147750939e-15 relative error = 1.995257696642578e-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 = 0.9765 Order of pole (three term test) = 32.09 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7200000000000005 y[1] (closed_form) = -3.338206956987707 y[1] (numeric) = -3.338206956987713 absolute error = 5.773159728050814e-15 relative error = 1.729419356689716e-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 = 0.9846 Order of pole (three term test) = 32.1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7300000000000005 y[1] (closed_form) = -3.337810033243199 y[1] (numeric) = -3.337810033243205 absolute error = 5.329070518200751e-15 relative error = 1.596576936711624e-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 = 0.9927 Order of pole (three term test) = 32.1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7400000000000005 y[1] (closed_form) = -3.337394623034758 y[1] (numeric) = -3.337394623034763 absolute error = 5.329070518200751e-15 relative error = 1.596775664891233e-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 = 1.001 Order of pole (three term test) = 32.1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7500000000000006 y[1] (closed_form) = -3.336960754716052 y[1] (numeric) = -3.336960754716058 absolute error = 6.217248937900877e-15 relative error = 1.863147155421045e-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 = 1.009 Order of pole (three term test) = 32.1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7600000000000006 y[1] (closed_form) = -3.336508456896877 y[1] (numeric) = -3.336508456896884 absolute error = 6.661338147750939e-15 relative error = 1.996499704348516e-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 = 1.017 Order of pole (three term test) = 32.1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7700000000000006 y[1] (closed_form) = -3.33603775844289 y[1] (numeric) = -3.336037758442897 absolute error = 6.661338147750939e-15 relative error = 1.99678140059786e-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 = 1.024 Order of pole (three term test) = 32.11 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7800000000000006 y[1] (closed_form) = -3.335548688475355 y[1] (numeric) = -3.335548688475362 absolute error = 7.105427357601002e-15 relative error = 2.130212454146133e-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 = 1.032 Order of pole (three term test) = 32.11 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7900000000000006 y[1] (closed_form) = -3.335041276370881 y[1] (numeric) = -3.335041276370888 absolute error = 6.661338147750939e-15 relative error = 1.997378021959495e-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 = 1.04 Order of pole (three term test) = 32.11 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8000000000000006 y[1] (closed_form) = -3.334515551761154 y[1] (numeric) = -3.33451555176116 absolute error = 6.217248937900877e-15 relative error = 1.864513402739172e-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 = 1.048 Order of pole (three term test) = 32.11 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8100000000000006 y[1] (closed_form) = -3.333971544532673 y[1] (numeric) = -3.333971544532679 absolute error = 6.217248937900877e-15 relative error = 1.864817637120042e-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 = 1.056 Order of pole (three term test) = 32.11 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8200000000000006 y[1] (closed_form) = -3.333409284826481 y[1] (numeric) = -3.333409284826487 absolute error = 6.217248937900877e-15 relative error = 1.865132183497987e-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 = 1.063 Order of pole (three term test) = 32.12 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8300000000000006 y[1] (closed_form) = -3.332828803037892 y[1] (numeric) = -3.332828803037898 absolute error = 5.773159728050814e-15 relative error = 1.73221010415793e-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 = 1.071 Order of pole (three term test) = 32.12 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8400000000000006 y[1] (closed_form) = -3.332230129816219 y[1] (numeric) = -3.332230129816225 absolute error = 6.217248937900877e-15 relative error = 1.865792185920777e-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 = 1.079 Order of pole (three term test) = 32.12 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8500000000000006 y[1] (closed_form) = -3.331613296064498 y[1] (numeric) = -3.331613296064504 absolute error = 6.217248937900877e-15 relative error = 1.86613762925159e-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 = 1.086 Order of pole (three term test) = 32.12 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8600000000000007 y[1] (closed_form) = -3.330978332939209 y[1] (numeric) = -3.330978332939215 absolute error = 5.773159728050814e-15 relative error = 1.733172404924249e-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 = 1.094 Order of pole (three term test) = 32.12 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8700000000000007 y[1] (closed_form) = -3.330325271849998 y[1] (numeric) = -3.330325271850004 absolute error = 5.773159728050814e-15 relative error = 1.733512271864009e-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 = 1.101 Order of pole (three term test) = 32.12 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8800000000000007 y[1] (closed_form) = -3.329654144459389 y[1] (numeric) = -3.329654144459395 absolute error = 5.773159728050814e-15 relative error = 1.733861679795623e-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 = 1.109 Order of pole (three term test) = 32.13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8900000000000007 y[1] (closed_form) = -3.328964982682507 y[1] (numeric) = -3.328964982682513 absolute error = 6.217248937900877e-15 relative error = 1.867622209979201e-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 = 1.116 Order of pole (three term test) = 32.13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9000000000000007 y[1] (closed_form) = -3.328257818686782 y[1] (numeric) = -3.328257818686787 absolute error = 5.773159728050814e-15 relative error = 1.734589098127232e-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 = 1.124 Order of pole (three term test) = 32.13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9100000000000007 y[1] (closed_form) = -3.327532684891665 y[1] (numeric) = -3.327532684891671 absolute error = 5.773159728050814e-15 relative error = 1.734967098674426e-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 = 1.131 Order of pole (three term test) = 32.13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9200000000000007 y[1] (closed_form) = -3.326789613968339 y[1] (numeric) = -3.326789613968344 absolute error = 5.329070518200751e-15 relative error = 1.601865803543857e-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 = 1.139 Order of pole (three term test) = 32.13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9300000000000007 y[1] (closed_form) = -3.326028638839413 y[1] (numeric) = -3.326028638839419 absolute error = 5.773159728050814e-15 relative error = 1.735751659091337e-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 = 1.146 Order of pole (three term test) = 32.14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9400000000000007 y[1] (closed_form) = -3.325249792678642 y[1] (numeric) = -3.325249792678648 absolute error = 6.217248937900877e-15 relative error = 1.869708841600317e-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 = 1.153 Order of pole (three term test) = 32.14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9500000000000007 y[1] (closed_form) = -3.324453108910616 y[1] (numeric) = -3.324453108910622 absolute error = 6.217248937900877e-15 relative error = 1.870156905277631e-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 = 1.16 Order of pole (three term test) = 32.14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9600000000000007 y[1] (closed_form) = -3.323638621210462 y[1] (numeric) = -3.323638621210468 absolute error = 6.217248937900877e-15 relative error = 1.870615204139302e-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 = 1.167 Order of pole (three term test) = 32.14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9700000000000008 y[1] (closed_form) = -3.322806363503544 y[1] (numeric) = -3.32280636350355 absolute error = 6.217248937900877e-15 relative error = 1.871083733975233e-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 = 1.174 Order of pole (three term test) = 32.15 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9800000000000008 y[1] (closed_form) = -3.321956369965157 y[1] (numeric) = -3.321956369965163 absolute error = 5.773159728050814e-15 relative error = 1.737879455686941e-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 = 1.182 Order of pole (three term test) = 32.15 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9900000000000008 y[1] (closed_form) = -3.321088675020216 y[1] (numeric) = -3.321088675020222 absolute error = 5.773159728050814e-15 relative error = 1.738333508368509e-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 = 1.189 Order of pole (three term test) = 32.15 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.000000000000001 y[1] (closed_form) = -3.32020331334295 y[1] (numeric) = -3.320203313342956 absolute error = 6.217248937900877e-15 relative error = 1.872550669688066e-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 = 1.196 Order of pole (three term test) = 32.15 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.01 y[1] (closed_form) = -3.319300319856588 y[1] (numeric) = -3.319300319856594 absolute error = 5.773159728050814e-15 relative error = 1.739270078550845e-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 = 1.203 Order of pole (three term test) = 32.15 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.019999999999998 y[1] (closed_form) = -3.318379729733045 y[1] (numeric) = -3.318379729733051 absolute error = 5.329070518200751e-15 relative error = 1.605925467315177e-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 = 1.209 Order of pole (three term test) = 32.16 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.029999999999997 y[1] (closed_form) = -3.317441578392605 y[1] (numeric) = -3.317441578392611 absolute error = 6.217248937900877e-15 relative error = 1.874109548272229e-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 = 1.216 Order of pole (three term test) = 32.16 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.039999999999996 y[1] (closed_form) = -3.316485901503603 y[1] (numeric) = -3.31648590150361 absolute error = 6.217248937900877e-15 relative error = 1.874649590725577e-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 = 1.223 Order of pole (three term test) = 32.16 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.049999999999995 y[1] (closed_form) = -3.315512734982106 y[1] (numeric) = -3.315512734982112 absolute error = 5.329070518200751e-15 relative error = 1.607314145403068e-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 = 1.23 Order of pole (three term test) = 32.16 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.059999999999994 y[1] (closed_form) = -3.314522114991584 y[1] (numeric) = -3.314522114991589 absolute error = 4.884981308350689e-15 relative error = 1.473811650329897e-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 = 1.237 Order of pole (three term test) = 32.16 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.069999999999993 y[1] (closed_form) = -3.313514077942589 y[1] (numeric) = -3.313514077942595 absolute error = 5.773159728050814e-15 relative error = 1.742307288350335e-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 = 1.243 Order of pole (three term test) = 32.17 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.079999999999992 y[1] (closed_form) = -3.312488660492429 y[1] (numeric) = -3.312488660492435 absolute error = 5.329070518200751e-15 relative error = 1.608781512751968e-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 = 1.25 Order of pole (three term test) = 32.17 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.089999999999991 y[1] (closed_form) = -3.311445899544832 y[1] (numeric) = -3.311445899544837 absolute error = 5.329070518200751e-15 relative error = 1.609288111556721e-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 = 1.257 Order of pole (three term test) = 32.17 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.09999999999999 y[1] (closed_form) = -3.310385832249618 y[1] (numeric) = -3.310385832249624 absolute error = 6.217248937900877e-15 relative error = 1.878104019577639e-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 = 1.263 Order of pole (three term test) = 32.17 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.109999999999989 y[1] (closed_form) = -3.309308496002366 y[1] (numeric) = -3.309308496002373 absolute error = 7.105427357601002e-15 relative error = 2.147103349894498e-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 = 1.27 Order of pole (three term test) = 32.18 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.119999999999987 y[1] (closed_form) = -3.308213928444074 y[1] (numeric) = -3.308213928444081 absolute error = 7.105427357601002e-15 relative error = 2.147813748230859e-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 = 1.276 Order of pole (three term test) = 32.18 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.129999999999986 y[1] (closed_form) = -3.30710216746082 y[1] (numeric) = -3.307102167460827 absolute error = 7.105427357601002e-15 relative error = 2.148535786862769e-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 = 1.282 Order of pole (three term test) = 32.18 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.139999999999985 y[1] (closed_form) = -3.305973251183426 y[1] (numeric) = -3.305973251183433 absolute error = 7.549516567451064e-15 relative error = 2.283598805510176e-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 = 1.289 Order of pole (three term test) = 32.18 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.149999999999984 y[1] (closed_form) = -3.304827217987109 y[1] (numeric) = -3.304827217987117 absolute error = 7.549516567451064e-15 relative error = 2.284390701686757e-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 = 1.295 Order of pole (three term test) = 32.19 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.159999999999983 y[1] (closed_form) = -3.303664106491139 y[1] (numeric) = -3.303664106491147 absolute error = 7.549516567451064e-15 relative error = 2.285194960534137e-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 = 1.301 Order of pole (three term test) = 32.19 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.169999999999982 y[1] (closed_form) = -3.30248395555849 y[1] (numeric) = -3.302483955558497 absolute error = 7.105427357601002e-15 relative error = 2.151540311238057e-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 = 1.308 Order of pole (three term test) = 32.19 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.179999999999981 y[1] (closed_form) = -3.301286804295491 y[1] (numeric) = -3.301286804295497 absolute error = 6.217248937900877e-15 relative error = 1.883280461973574e-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 = 1.314 Order of pole (three term test) = 32.19 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.18999999999998 y[1] (closed_form) = -3.300072692051474 y[1] (numeric) = -3.300072692051482 absolute error = 7.549516567451064e-15 relative error = 2.287681900351699e-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 = 1.32 Order of pole (three term test) = 32.19 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.199999999999979 y[1] (closed_form) = -3.29884165841842 y[1] (numeric) = -3.298841658418427 absolute error = 7.105427357601002e-15 relative error = 2.153915856939794e-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 = 1.326 Order of pole (three term test) = 32.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.209999999999978 y[1] (closed_form) = -3.297593743230601 y[1] (numeric) = -3.297593743230609 absolute error = 8.43769498715119e-15 relative error = 2.558743024204343e-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 = 1.332 Order of pole (three term test) = 32.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.219999999999976 y[1] (closed_form) = -3.296328986564225 y[1] (numeric) = -3.296328986564232 absolute error = 7.105427357601002e-15 relative error = 2.155557708761046e-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 = 1.338 Order of pole (three term test) = 32.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.229999999999975 y[1] (closed_form) = -3.29504742873707 y[1] (numeric) = -3.295047428737076 absolute error = 6.217248937900877e-15 relative error = 1.886846569696823e-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 = 1.344 Order of pole (three term test) = 32.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.239999999999974 y[1] (closed_form) = -3.293749110308127 y[1] (numeric) = -3.293749110308133 absolute error = 5.773159728050814e-15 relative error = 1.752762440218387e-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 = 1.35 Order of pole (three term test) = 32.21 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.249999999999973 y[1] (closed_form) = -3.292434072077231 y[1] (numeric) = -3.292434072077237 absolute error = 5.773159728050814e-15 relative error = 1.753462514864714e-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 = 1.356 Order of pole (three term test) = 32.21 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.259999999999972 y[1] (closed_form) = -3.291102355084695 y[1] (numeric) = -3.291102355084701 absolute error = 5.329070518200751e-15 relative error = 1.61923572810412e-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 = 1.361 Order of pole (three term test) = 32.21 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.269999999999971 y[1] (closed_form) = -3.289754000610942 y[1] (numeric) = -3.289754000610947 absolute error = 5.329070518200751e-15 relative error = 1.619899395885251e-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 = 1.367 Order of pole (three term test) = 32.21 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.27999999999997 y[1] (closed_form) = -3.288389050176131 y[1] (numeric) = -3.288389050176136 absolute error = 4.884981308350689e-15 relative error = 1.48552413775038e-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 = 1.373 Order of pole (three term test) = 32.22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.289999999999969 y[1] (closed_form) = -3.287007545539783 y[1] (numeric) = -3.287007545539788 absolute error = 5.329070518200751e-15 relative error = 1.621252900813048e-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 = 1.379 Order of pole (three term test) = 32.22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.299999999999968 y[1] (closed_form) = -3.28560952870041 y[1] (numeric) = -3.285609528700414 absolute error = 4.440892098500626e-15 relative error = 1.351618949150411e-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 = 1.384 Order of pole (three term test) = 32.22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.309999999999967 y[1] (closed_form) = -3.28419504189513 y[1] (numeric) = -3.284195041895135 absolute error = 4.440892098500626e-15 relative error = 1.352201084847272e-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 = 1.39 Order of pole (three term test) = 32.22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.319999999999965 y[1] (closed_form) = -3.282764127599294 y[1] (numeric) = -3.2827641275993 absolute error = 5.329070518200751e-15 relative error = 1.62334859010962e-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 = 1.395 Order of pole (three term test) = 32.23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.329999999999964 y[1] (closed_form) = -3.2813168285261 y[1] (numeric) = -3.281316828526104 absolute error = 3.996802888650564e-15 relative error = 1.218048453567297e-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 = 1.401 Order of pole (three term test) = 32.23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.339999999999963 y[1] (closed_form) = -3.279853187626204 y[1] (numeric) = -3.279853187626208 absolute error = 4.440892098500626e-15 relative error = 1.353991122302253e-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 = 1.406 Order of pole (three term test) = 32.23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.349999999999962 y[1] (closed_form) = -3.278373248087343 y[1] (numeric) = -3.278373248087348 absolute error = 4.884981308350689e-15 relative error = 1.490062582471556e-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 = 1.411 Order of pole (three term test) = 32.23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.359999999999961 y[1] (closed_form) = -3.276877053333942 y[1] (numeric) = -3.276877053333946 absolute error = 3.996802888650564e-15 relative error = 1.219698763059835e-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 = 1.417 Order of pole (three term test) = 32.24 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.36999999999996 y[1] (closed_form) = -3.275364647026719 y[1] (numeric) = -3.275364647026723 absolute error = 3.552713678800501e-15 relative error = 1.084677299068228e-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 = 1.422 Order of pole (three term test) = 32.24 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.379999999999959 y[1] (closed_form) = -3.273836073062298 y[1] (numeric) = -3.273836073062302 absolute error = 4.440892098500626e-15 relative error = 1.356479676866252e-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 = 1.427 Order of pole (three term test) = 32.24 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.389999999999958 y[1] (closed_form) = -3.272291375572813 y[1] (numeric) = -3.272291375572817 absolute error = 4.440892098500626e-15 relative error = 1.357120008215421e-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 = 1.432 Order of pole (three term test) = 32.24 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.399999999999957 y[1] (closed_form) = -3.270730598925506 y[1] (numeric) = -3.270730598925512 absolute error = 5.773159728050814e-15 relative error = 1.765097905020793e-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 = 1.437 Order of pole (three term test) = 32.25 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.409999999999956 y[1] (closed_form) = -3.269153787722336 y[1] (numeric) = -3.269153787722341 absolute error = 4.884981308350689e-15 relative error = 1.494264762550104e-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 = 1.442 Order of pole (three term test) = 32.25 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.419999999999954 y[1] (closed_form) = -3.267560986799568 y[1] (numeric) = -3.267560986799572 absolute error = 4.440892098500626e-15 relative error = 1.359084686235737e-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 = 1.447 Order of pole (three term test) = 32.25 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.429999999999953 y[1] (closed_form) = -3.265952241227378 y[1] (numeric) = -3.265952241227382 absolute error = 4.440892098500626e-15 relative error = 1.359754145342828e-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 = 1.452 Order of pole (three term test) = 32.25 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.439999999999952 y[1] (closed_form) = -3.264327596309441 y[1] (numeric) = -3.264327596309445 absolute error = 4.440892098500626e-15 relative error = 1.360430890429434e-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 = 1.457 Order of pole (three term test) = 32.26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.449999999999951 y[1] (closed_form) = -3.262687097582527 y[1] (numeric) = -3.262687097582532 absolute error = 4.440892098500626e-15 relative error = 1.361114923276303e-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 = 1.462 Order of pole (three term test) = 32.26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.45999999999995 y[1] (closed_form) = -3.261030790816091 y[1] (numeric) = -3.261030790816096 absolute error = 4.884981308350689e-15 relative error = 1.497986870319674e-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 = 1.467 Order of pole (three term test) = 32.26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.469999999999949 y[1] (closed_form) = -3.25935872201186 y[1] (numeric) = -3.259358722011865 absolute error = 4.884981308350689e-15 relative error = 1.498755345755684e-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 = 1.471 Order of pole (three term test) = 32.27 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.479999999999948 y[1] (closed_form) = -3.257670937403417 y[1] (numeric) = -3.257670937403422 absolute error = 4.884981308350689e-15 relative error = 1.499531844135353e-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 = 1.476 Order of pole (three term test) = 32.27 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.489999999999947 y[1] (closed_form) = -3.25596748345579 y[1] (numeric) = -3.255967483455795 absolute error = 4.884981308350689e-15 relative error = 1.500316367768486e-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 = 1.481 Order of pole (three term test) = 32.27 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.499999999999946 y[1] (closed_form) = -3.254248406865028 y[1] (numeric) = -3.254248406865033 absolute error = 4.884981308350689e-15 relative error = 1.501108919050412e-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 = 1.485 Order of pole (three term test) = 32.27 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.509999999999944 y[1] (closed_form) = -3.252513754557787 y[1] (numeric) = -3.252513754557791 absolute error = 3.996802888650564e-15 relative error = 1.228835045831796e-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 = 1.49 Order of pole (three term test) = 32.28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.519999999999943 y[1] (closed_form) = -3.250763573690901 y[1] (numeric) = -3.250763573690905 absolute error = 3.996802888650564e-15 relative error = 1.22949663918887e-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 = 1.494 Order of pole (three term test) = 32.28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.529999999999942 y[1] (closed_form) = -3.248997911650963 y[1] (numeric) = -3.248997911650966 absolute error = 3.108624468950438e-15 relative error = 9.567948498221119e-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 = 1.499 Order of pole (three term test) = 32.28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.539999999999941 y[1] (closed_form) = -3.247216816053895 y[1] (numeric) = -3.247216816053899 absolute error = 3.552713678800501e-15 relative error = 1.094079601102169e-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 = 1.503 Order of pole (three term test) = 32.28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.54999999999994 y[1] (closed_form) = -3.245420334744522 y[1] (numeric) = -3.245420334744525 absolute error = 2.664535259100376e-15 relative error = 8.210139163098966e-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 = 1.507 Order of pole (three term test) = 32.29 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.559999999999939 y[1] (closed_form) = -3.243608515796139 y[1] (numeric) = -3.243608515796143 absolute error = 3.552713678800501e-15 relative error = 1.095296692402626e-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 = 1.512 Order of pole (three term test) = 32.29 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.569999999999938 y[1] (closed_form) = -3.241781407510081 y[1] (numeric) = -3.241781407510085 absolute error = 3.552713678800501e-15 relative error = 1.095914015229435e-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 = 1.516 Order of pole (three term test) = 32.29 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.579999999999937 y[1] (closed_form) = -3.239939058415287 y[1] (numeric) = -3.23993905841529 absolute error = 3.108624468950438e-15 relative error = 9.59470043387459e-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 = 1.52 Order of pole (three term test) = 32.29 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.589999999999936 y[1] (closed_form) = -3.23808151726786 y[1] (numeric) = -3.238081517267863 absolute error = 2.220446049250313e-15 relative error = 6.857288914467539e-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 = 1.524 Order of pole (three term test) = 32.3 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.599999999999935 y[1] (closed_form) = -3.236208833050636 y[1] (numeric) = -3.236208833050638 absolute error = 2.220446049250313e-15 relative error = 6.861256994831183e-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 = 1.528 Order of pole (three term test) = 32.3 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.609999999999933 y[1] (closed_form) = -3.234321054972734 y[1] (numeric) = -3.234321054972735 absolute error = 8.881784197001252e-16 relative error = 2.746104683499371e-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 = 1.532 Order of pole (three term test) = 32.3 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.619999999999932 y[1] (closed_form) = -3.232418232469121 y[1] (numeric) = -3.232418232469122 absolute error = 4.440892098500626e-16 relative error = 1.373860614289506e-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 = 1.536 Order of pole (three term test) = 32.31 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.629999999999931 y[1] (closed_form) = -3.230500415200162 y[1] (numeric) = -3.230500415200162 absolute error = 8.881784197001252e-16 relative error = 2.749352439396278e-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 = 1.54 Order of pole (three term test) = 32.31 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.63999999999993 y[1] (closed_form) = -3.228567653051175 y[1] (numeric) = -3.228567653051176 absolute error = 8.881784197001252e-16 relative error = 2.750998322307874e-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 = 1.544 Order of pole (three term test) = 32.31 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.649999999999929 y[1] (closed_form) = -3.226619996131981 y[1] (numeric) = -3.226619996131982 absolute error = 8.881784197001252e-16 relative error = 2.752658883800568e-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 = 1.547 Order of pole (three term test) = 32.31 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.659999999999928 y[1] (closed_form) = -3.224657494776455 y[1] (numeric) = -3.224657494776456 absolute error = 1.332267629550188e-15 relative error = 4.131501195734109e-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 = 1.551 Order of pole (three term test) = 32.32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.669999999999927 y[1] (closed_form) = -3.222680199542072 y[1] (numeric) = -3.222680199542072 absolute error = 0 relative error = 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 = 1.555 Order of pole (three term test) = 32.32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.679999999999926 y[1] (closed_form) = -3.220688161209451 y[1] (numeric) = -3.22068816120945 absolute error = 4.440892098500626e-16 relative error = 1.378864353273171e-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 = 1.558 Order of pole (three term test) = 32.32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.689999999999925 y[1] (closed_form) = -3.218681430781897 y[1] (numeric) = -3.218681430781897 absolute error = 0 relative error = 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 = 1.562 Order of pole (three term test) = 32.33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.699999999999924 y[1] (closed_form) = -3.216660059484947 y[1] (numeric) = -3.216660059484946 absolute error = 8.881784197001252e-16 relative error = 2.761182105896327e-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 = 1.565 Order of pole (three term test) = 32.33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.709999999999922 y[1] (closed_form) = -3.214624098765904 y[1] (numeric) = -3.214624098765903 absolute error = 1.332267629550188e-15 relative error = 4.144396323233083e-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 = 1.569 Order of pole (three term test) = 32.33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.719999999999921 y[1] (closed_form) = -3.212573600293376 y[1] (numeric) = -3.212573600293374 absolute error = 1.332267629550188e-15 relative error = 4.147041578840477e-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 = 1.572 Order of pole (three term test) = 32.33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.72999999999992 y[1] (closed_form) = -3.210508615956809 y[1] (numeric) = -3.210508615956807 absolute error = 1.77635683940025e-15 relative error = 5.532945249146616e-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 = 1.575 Order of pole (three term test) = 32.34 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.739999999999919 y[1] (closed_form) = -3.208429197866024 y[1] (numeric) = -3.208429197866022 absolute error = 1.77635683940025e-15 relative error = 5.536531211540317e-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 = 1.578 Order of pole (three term test) = 32.34 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.749999999999918 y[1] (closed_form) = -3.206335398350744 y[1] (numeric) = -3.206335398350741 absolute error = 2.220446049250313e-15 relative error = 6.925183342929293e-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 = 1.582 Order of pole (three term test) = 32.34 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.759999999999917 y[1] (closed_form) = -3.204227269960126 y[1] (numeric) = -3.204227269960124 absolute error = 2.220446049250313e-15 relative error = 6.929739566438259e-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 = 1.585 Order of pole (three term test) = 32.35 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.769999999999916 y[1] (closed_form) = -3.202104865462284 y[1] (numeric) = -3.202104865462282 absolute error = 2.220446049250313e-15 relative error = 6.934332704715308e-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 = 1.588 Order of pole (three term test) = 32.35 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.779999999999915 y[1] (closed_form) = -3.199968237843822 y[1] (numeric) = -3.199968237843819 absolute error = 2.220446049250313e-15 relative error = 6.938962777788311e-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 = 1.591 Order of pole (three term test) = 32.35 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.789999999999914 y[1] (closed_form) = -3.197817440309346 y[1] (numeric) = -3.197817440309343 absolute error = 3.108624468950438e-15 relative error = 9.721081728323179e-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 = 1.594 Order of pole (three term test) = 32.35 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.799999999999913 y[1] (closed_form) = -3.195652526280995 y[1] (numeric) = -3.195652526280991 absolute error = 3.552713678800501e-15 relative error = 1.11173340955659e-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 = 1.597 Order of pole (three term test) = 32.36 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.809999999999911 y[1] (closed_form) = -3.193473549397954 y[1] (numeric) = -3.19347354939795 absolute error = 3.996802888650564e-15 relative error = 1.251553465787765e-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 = 1.6 Order of pole (three term test) = 32.36 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.81999999999991 y[1] (closed_form) = -3.191280563515976 y[1] (numeric) = -3.191280563515971 absolute error = 4.440892098500626e-15 relative error = 1.391570565518657e-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 = 1.602 Order of pole (three term test) = 32.36 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.829999999999909 y[1] (closed_form) = -3.189073622706892 y[1] (numeric) = -3.189073622706887 absolute error = 5.329070518200751e-15 relative error = 1.671040292157766e-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 = 1.605 Order of pole (three term test) = 32.37 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.839999999999908 y[1] (closed_form) = -3.186852781258129 y[1] (numeric) = -3.186852781258124 absolute error = 5.329070518200751e-15 relative error = 1.672204800152991e-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 = 1.608 Order of pole (three term test) = 32.37 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.849999999999907 y[1] (closed_form) = -3.18461809367222 y[1] (numeric) = -3.184618093672213 absolute error = 6.661338147750939e-15 relative error = 2.091722759783002e-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 = 1.61 Order of pole (three term test) = 32.37 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.859999999999906 y[1] (closed_form) = -3.18236961466631 y[1] (numeric) = -3.182369614666304 absolute error = 6.661338147750939e-15 relative error = 2.093200650562841e-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 = 1.613 Order of pole (three term test) = 32.37 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.869999999999905 y[1] (closed_form) = -3.180107399171672 y[1] (numeric) = -3.180107399171665 absolute error = 7.105427357601002e-15 relative error = 2.234335657799408e-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 = 1.615 Order of pole (three term test) = 32.38 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.879999999999904 y[1] (closed_form) = -3.177831502333202 y[1] (numeric) = -3.177831502333194 absolute error = 7.993605777301127e-15 relative error = 2.515427822850937e-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 = 1.618 Order of pole (three term test) = 32.38 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.889999999999903 y[1] (closed_form) = -3.17554197950893 y[1] (numeric) = -3.175541979508921 absolute error = 8.43769498715119e-15 relative error = 2.657088157422503e-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 = 1.62 Order of pole (three term test) = 32.38 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.899999999999902 y[1] (closed_form) = -3.17323888626952 y[1] (numeric) = -3.173238886269512 absolute error = 7.993605777301127e-15 relative error = 2.519068391569618e-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 = 1.622 Order of pole (three term test) = 32.39 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.9099999999999 y[1] (closed_form) = -3.170922278397771 y[1] (numeric) = -3.170922278397763 absolute error = 7.993605777301127e-15 relative error = 2.520908768959231e-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 = 1.625 Order of pole (three term test) = 32.39 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.919999999999899 y[1] (closed_form) = -3.168592211888109 y[1] (numeric) = -3.168592211888102 absolute error = 7.549516567451064e-15 relative error = 2.38260907766116e-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 = 1.627 Order of pole (three term test) = 32.39 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.929999999999898 y[1] (closed_form) = -3.166248742946093 y[1] (numeric) = -3.166248742946085 absolute error = 7.549516567451064e-15 relative error = 2.384372543145957e-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 = 1.629 Order of pole (three term test) = 32.39 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.939999999999897 y[1] (closed_form) = -3.163891927987899 y[1] (numeric) = -3.163891927987892 absolute error = 7.549516567451064e-15 relative error = 2.386148686264463e-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 = 1.631 Order of pole (three term test) = 32.4 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.949999999999896 y[1] (closed_form) = -3.161521823639821 y[1] (numeric) = -3.161521823639813 absolute error = 7.993605777301127e-15 relative error = 2.52840442774429e-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 = 1.633 Order of pole (three term test) = 32.4 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.959999999999895 y[1] (closed_form) = -3.159138486737754 y[1] (numeric) = -3.159138486737747 absolute error = 7.549516567451064e-15 relative error = 2.389739037761203e-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 = 1.635 Order of pole (three term test) = 32.4 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.969999999999894 y[1] (closed_form) = -3.156741974326688 y[1] (numeric) = -3.15674197432668 absolute error = 7.993605777301127e-15 relative error = 2.532232866136013e-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 = 1.637 Order of pole (three term test) = 32.41 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.979999999999893 y[1] (closed_form) = -3.154332343660193 y[1] (numeric) = -3.154332343660184 absolute error = 8.43769498715119e-15 relative error = 2.674954338311841e-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 = 1.639 Order of pole (three term test) = 32.41 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.989999999999892 y[1] (closed_form) = -3.151909652199899 y[1] (numeric) = -3.15190965219989 absolute error = 9.325873406851315e-15 relative error = 2.958800992389566e-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 = 1.641 Order of pole (three term test) = 32.41 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.999999999999891 y[1] (closed_form) = -3.149473957614989 y[1] (numeric) = -3.149473957614979 absolute error = 9.769962616701378e-15 relative error = 3.102093475984766e-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 = 1.642 Order of pole (three term test) = 32.42 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.00999999999989 y[1] (closed_form) = -3.147025317781668 y[1] (numeric) = -3.147025317781659 absolute error = 8.881784197001252e-15 relative error = 2.822279232015205e-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 = 1.644 Order of pole (three term test) = 32.42 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.019999999999889 y[1] (closed_form) = -3.144563790782652 y[1] (numeric) = -3.144563790782643 absolute error = 9.325873406851315e-15 relative error = 2.965712902434138e-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 = 1.646 Order of pole (three term test) = 32.42 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.029999999999887 y[1] (closed_form) = -3.142089434906643 y[1] (numeric) = -3.142089434906632 absolute error = 1.021405182655144e-14 relative error = 3.250719636774094e-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 = 1.647 Order of pole (three term test) = 32.42 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.039999999999886 y[1] (closed_form) = -3.139602308647796 y[1] (numeric) = -3.139602308647786 absolute error = 1.021405182655144e-14 relative error = 3.253294787819977e-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 = 1.649 Order of pole (three term test) = 32.43 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.049999999999885 y[1] (closed_form) = -3.137102470705205 y[1] (numeric) = -3.137102470705194 absolute error = 1.06581410364015e-14 relative error = 3.397447528708109e-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 = 1.65 Order of pole (three term test) = 32.43 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.059999999999884 y[1] (closed_form) = -3.134589979982368 y[1] (numeric) = -3.134589979982357 absolute error = 1.110223024625157e-14 relative error = 3.541844489120078e-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 = 1.652 Order of pole (three term test) = 32.43 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.069999999999883 y[1] (closed_form) = -3.132064895586655 y[1] (numeric) = -3.132064895586645 absolute error = 1.021405182655144e-14 relative error = 3.261123944444416e-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 = 1.653 Order of pole (three term test) = 32.44 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.079999999999882 y[1] (closed_form) = -3.129527276828783 y[1] (numeric) = -3.129527276828774 absolute error = 9.769962616701378e-15 relative error = 3.121865301842484e-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 = 1.654 Order of pole (three term test) = 32.44 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.089999999999881 y[1] (closed_form) = -3.126977183222277 y[1] (numeric) = -3.126977183222267 absolute error = 9.769962616701378e-15 relative error = 3.124411226638264e-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 = 1.655 Order of pole (three term test) = 32.44 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.09999999999988 y[1] (closed_form) = -3.124414674482932 y[1] (numeric) = -3.124414674482923 absolute error = 9.769962616701378e-15 relative error = 3.126973732549837e-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 = 1.656 Order of pole (three term test) = 32.44 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.109999999999879 y[1] (closed_form) = -3.121839810528284 y[1] (numeric) = -3.121839810528273 absolute error = 1.06581410364015e-14 relative error = 3.414057633725258e-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 = 1.658 Order of pole (three term test) = 32.45 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.119999999999878 y[1] (closed_form) = -3.119252651477062 y[1] (numeric) = -3.119252651477052 absolute error = 1.021405182655144e-14 relative error = 3.274518920971269e-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 = 1.659 Order of pole (three term test) = 32.45 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.129999999999876 y[1] (closed_form) = -3.116653257648653 y[1] (numeric) = -3.116653257648643 absolute error = 1.021405182655144e-14 relative error = 3.277249980081965e-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 = 1.659 Order of pole (three term test) = 32.45 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.139999999999875 y[1] (closed_form) = -3.114041689562555 y[1] (numeric) = -3.114041689562545 absolute error = 1.06581410364015e-14 relative error = 3.422607048622623e-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 = 1.66 Order of pole (three term test) = 32.46 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.149999999999874 y[1] (closed_form) = -3.111418007937838 y[1] (numeric) = -3.111418007937826 absolute error = 1.110223024625157e-14 relative error = 3.568222019004711e-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 = 1.661 Order of pole (three term test) = 32.46 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.159999999999873 y[1] (closed_form) = -3.108782273692587 y[1] (numeric) = -3.108782273692576 absolute error = 1.110223024625157e-14 relative error = 3.571247282320747e-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 = 1.662 Order of pole (three term test) = 32.46 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.169999999999872 y[1] (closed_form) = -3.106134547943368 y[1] (numeric) = -3.106134547943356 absolute error = 1.154631945610163e-14 relative error = 3.717263137795068e-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 = 1.663 Order of pole (three term test) = 32.47 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.179999999999871 y[1] (closed_form) = -3.103474892004664 y[1] (numeric) = -3.103474892004653 absolute error = 1.154631945610163e-14 relative error = 3.720448805900723e-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 = 1.663 Order of pole (three term test) = 32.47 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.18999999999987 y[1] (closed_form) = -3.100803367388334 y[1] (numeric) = -3.100803367388323 absolute error = 1.154631945610163e-14 relative error = 3.723654191535069e-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 = 1.664 Order of pole (three term test) = 32.47 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.199999999999869 y[1] (closed_form) = -3.098120035803053 y[1] (numeric) = -3.098120035803041 absolute error = 1.154631945610163e-14 relative error = 3.726879308312129e-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 = 1.665 Order of pole (three term test) = 32.47 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.209999999999868 y[1] (closed_form) = -3.095424959153758 y[1] (numeric) = -3.095424959153746 absolute error = 1.199040866595169e-14 relative error = 3.87359048407676e-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 = 1.665 Order of pole (three term test) = 32.48 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.219999999999867 y[1] (closed_form) = -3.092718199541093 y[1] (numeric) = -3.092718199541081 absolute error = 1.199040866595169e-14 relative error = 3.876980666305409e-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 = 1.665 Order of pole (three term test) = 32.48 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.229999999999865 y[1] (closed_form) = -3.089999819260848 y[1] (numeric) = -3.089999819260836 absolute error = 1.199040866595169e-14 relative error = 3.88039138100011e-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 = 1.666 Order of pole (three term test) = 32.48 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.239999999999864 y[1] (closed_form) = -3.087269880803398 y[1] (numeric) = -3.087269880803385 absolute error = 1.287858708565182e-14 relative error = 4.171513208395124e-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 = 1.666 Order of pole (three term test) = 32.49 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.249999999999863 y[1] (closed_form) = -3.084528446853142 y[1] (numeric) = -3.08452844685313 absolute error = 1.243449787580175e-14 relative error = 4.031247592638517e-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 = 1.666 Order of pole (three term test) = 32.49 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.259999999999862 y[1] (closed_form) = -3.08177558028794 y[1] (numeric) = -3.081775580287927 absolute error = 1.332267629550188e-14 relative error = 4.323052068008501e-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 = 1.666 Order of pole (three term test) = 32.49 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.269999999999861 y[1] (closed_form) = -3.079011344178541 y[1] (numeric) = -3.079011344178527 absolute error = 1.376676550535194e-14 relative error = 4.471164268810065e-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 = 1.667 Order of pole (three term test) = 32.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.27999999999986 y[1] (closed_form) = -3.076235801788025 y[1] (numeric) = -3.076235801788011 absolute error = 1.4210854715202e-14 relative error = 4.619559627692426e-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 = 1.667 Order of pole (three term test) = 32.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.289999999999859 y[1] (closed_form) = -3.073449016571225 y[1] (numeric) = -3.07344901657121 absolute error = 1.554312234475219e-14 relative error = 5.057224720809677e-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 = 1.667 Order of pole (three term test) = 32.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.299999999999858 y[1] (closed_form) = -3.070651052174161 y[1] (numeric) = -3.070651052174145 absolute error = 1.554312234475219e-14 relative error = 5.061832842825613e-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 = 1.667 Order of pole (three term test) = 32.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.309999999999857 y[1] (closed_form) = -3.067841972433463 y[1] (numeric) = -3.067841972433447 absolute error = 1.554312234475219e-14 relative error = 5.066467726961546e-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 = 1.666 Order of pole (three term test) = 32.51 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.319999999999856 y[1] (closed_form) = -3.065021841375802 y[1] (numeric) = -3.065021841375786 absolute error = 1.554312234475219e-14 relative error = 5.071129391291816e-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 = 1.666 Order of pole (three term test) = 32.51 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.329999999999854 y[1] (closed_form) = -3.062190723217308 y[1] (numeric) = -3.062190723217293 absolute error = 1.554312234475219e-14 relative error = 5.075817853834304e-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 = 1.666 Order of pole (three term test) = 32.51 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.339999999999853 y[1] (closed_form) = -3.059348682362998 y[1] (numeric) = -3.059348682362982 absolute error = 1.598721155460225e-14 relative error = 5.22569122204598e-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 = 1.666 Order of pole (three term test) = 32.52 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.349999999999852 y[1] (closed_form) = -3.05649578340619 y[1] (numeric) = -3.056495783406174 absolute error = 1.598721155460225e-14 relative error = 5.230568823748201e-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 = 1.665 Order of pole (three term test) = 32.52 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.359999999999851 y[1] (closed_form) = -3.053632091127926 y[1] (numeric) = -3.053632091127911 absolute error = 1.554312234475219e-14 relative error = 5.090044209946391e-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 = 1.665 Order of pole (three term test) = 32.52 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.36999999999985 y[1] (closed_form) = -3.050757670496389 y[1] (numeric) = -3.050757670496373 absolute error = 1.554312234475219e-14 relative error = 5.094840044185865e-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 = 1.664 Order of pole (three term test) = 32.53 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.379999999999849 y[1] (closed_form) = -3.047872586666315 y[1] (numeric) = -3.047872586666299 absolute error = 1.598721155460225e-14 relative error = 5.245367416125705e-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 = 1.664 Order of pole (three term test) = 32.53 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.389999999999848 y[1] (closed_form) = -3.044976904978408 y[1] (numeric) = -3.044976904978392 absolute error = 1.554312234475219e-14 relative error = 5.104512391979015e-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 = 1.663 Order of pole (three term test) = 32.53 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.399999999999847 y[1] (closed_form) = -3.042070690958757 y[1] (numeric) = -3.04207069095874 absolute error = 1.643130076445232e-14 relative error = 5.40135402286583e-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 = 1.663 Order of pole (three term test) = 32.53 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.409999999999846 y[1] (closed_form) = -3.039154010318237 y[1] (numeric) = -3.03915401031822 absolute error = 1.731947918415244e-14 relative error = 5.698782992027074e-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 = 1.662 Order of pole (three term test) = 32.54 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.419999999999844 y[1] (closed_form) = -3.036226928951923 y[1] (numeric) = -3.036226928951907 absolute error = 1.687538997430238e-14 relative error = 5.558013405844998e-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 = 1.661 Order of pole (three term test) = 32.54 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.429999999999843 y[1] (closed_form) = -3.033289512938501 y[1] (numeric) = -3.033289512938484 absolute error = 1.77635683940025e-14 relative error = 5.856206048988063e-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 = 1.66 Order of pole (three term test) = 32.54 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.439999999999842 y[1] (closed_form) = -3.030341828539664 y[1] (numeric) = -3.030341828539646 absolute error = 1.820765760385257e-14 relative error = 6.008450080572897e-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 = 1.659 Order of pole (three term test) = 32.55 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.449999999999841 y[1] (closed_form) = -3.027383942199521 y[1] (numeric) = -3.027383942199503 absolute error = 1.820765760385257e-14 relative error = 6.014320598735799e-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 = 1.658 Order of pole (three term test) = 32.55 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.45999999999984 y[1] (closed_form) = -3.024415920544 y[1] (numeric) = -3.024415920543981 absolute error = 1.953992523340276e-14 relative error = 6.460726879750096e-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 = 1.657 Order of pole (three term test) = 32.55 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.469999999999839 y[1] (closed_form) = -3.021437830380246 y[1] (numeric) = -3.021437830380227 absolute error = 1.953992523340276e-14 relative error = 6.467094916509888e-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 = 1.656 Order of pole (three term test) = 32.56 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.479999999999838 y[1] (closed_form) = -3.018449738696019 y[1] (numeric) = -3.018449738695999 absolute error = 1.953992523340276e-14 relative error = 6.47349696862737e-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 = 1.655 Order of pole (three term test) = 32.56 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.489999999999837 y[1] (closed_form) = -3.015451712659095 y[1] (numeric) = -3.015451712659075 absolute error = 1.953992523340276e-14 relative error = 6.479933056587399e-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 = 1.654 Order of pole (three term test) = 32.56 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.499999999999836 y[1] (closed_form) = -3.012443819616657 y[1] (numeric) = -3.012443819616637 absolute error = 1.998401444325282e-14 relative error = 6.633821455231602e-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 = 1.653 Order of pole (three term test) = 32.56 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.509999999999835 y[1] (closed_form) = -3.009426127094692 y[1] (numeric) = -3.009426127094672 absolute error = 1.998401444325282e-14 relative error = 6.640473498695062e-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 = 1.651 Order of pole (three term test) = 32.57 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.519999999999833 y[1] (closed_form) = -3.006398702797382 y[1] (numeric) = -3.006398702797362 absolute error = 1.953992523340276e-14 relative error = 6.499445737260771e-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 = 1.65 Order of pole (three term test) = 32.57 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.529999999999832 y[1] (closed_form) = -3.003361614606495 y[1] (numeric) = -3.003361614606475 absolute error = 2.042810365310288e-14 relative error = 6.801746267833087e-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 = 1.649 Order of pole (three term test) = 32.57 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.539999999999831 y[1] (closed_form) = -3.000314930580773 y[1] (numeric) = -3.000314930580752 absolute error = 2.087219286295294e-14 relative error = 6.956667331889955e-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 = 1.647 Order of pole (three term test) = 32.58 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.54999999999983 y[1] (closed_form) = -2.997258718955322 y[1] (numeric) = -2.997258718955301 absolute error = 2.131628207280301e-14 relative error = 7.111925953536863e-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 = 1.646 Order of pole (three term test) = 32.58 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.559999999999829 y[1] (closed_form) = -2.994193048140994 y[1] (numeric) = -2.994193048140973 absolute error = 2.131628207280301e-14 relative error = 7.119207656312492e-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 = 1.644 Order of pole (three term test) = 32.58 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.569999999999828 y[1] (closed_form) = -2.991117986723776 y[1] (numeric) = -2.991117986723756 absolute error = 2.087219286295294e-14 relative error = 6.978057353670163e-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 = 1.642 Order of pole (three term test) = 32.59 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.579999999999827 y[1] (closed_form) = -2.98803360346417 y[1] (numeric) = -2.988033603464149 absolute error = 2.131628207280301e-14 relative error = 7.133882981801149e-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 = 1.641 Order of pole (three term test) = 32.59 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.589999999999826 y[1] (closed_form) = -2.984939967296572 y[1] (numeric) = -2.98493996729655 absolute error = 2.131628207280301e-14 relative error = 7.141276644202977e-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 = 1.639 Order of pole (three term test) = 32.59 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.599999999999825 y[1] (closed_form) = -2.981837147328655 y[1] (numeric) = -2.981837147328634 absolute error = 2.087219286295294e-14 relative error = 6.999776255940657e-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 = 1.637 Order of pole (three term test) = 32.59 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.609999999999824 y[1] (closed_form) = -2.978725212840749 y[1] (numeric) = -2.978725212840728 absolute error = 2.087219286295294e-14 relative error = 7.007089063797047e-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 = 1.635 Order of pole (three term test) = 32.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.619999999999822 y[1] (closed_form) = -2.975604233285211 y[1] (numeric) = -2.97560423328519 absolute error = 2.176037128265307e-14 relative error = 7.312925233551158e-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 = 1.633 Order of pole (three term test) = 32.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.629999999999821 y[1] (closed_form) = -2.972474278285805 y[1] (numeric) = -2.972474278285783 absolute error = 2.176037128265307e-14 relative error = 7.320625595186663e-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 = 1.631 Order of pole (three term test) = 32.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.63999999999982 y[1] (closed_form) = -2.969335417637074 y[1] (numeric) = -2.969335417637052 absolute error = 2.264854970235319e-14 relative error = 7.627481074662951e-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 = 1.629 Order of pole (three term test) = 32.61 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.649999999999819 y[1] (closed_form) = -2.966187721303711 y[1] (numeric) = -2.966187721303688 absolute error = 2.264854970235319e-14 relative error = 7.635575300810231e-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 = 1.627 Order of pole (three term test) = 32.61 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.659999999999818 y[1] (closed_form) = -2.96303125941993 y[1] (numeric) = -2.963031259419906 absolute error = 2.309263891220326e-14 relative error = 7.793585990288906e-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 = 1.625 Order of pole (three term test) = 32.61 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.669999999999817 y[1] (closed_form) = -2.959866102288836 y[1] (numeric) = -2.959866102288812 absolute error = 2.353672812205332e-14 relative error = 7.951957050980312e-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 = 1.622 Order of pole (three term test) = 32.61 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.679999999999816 y[1] (closed_form) = -2.956692320381789 y[1] (numeric) = -2.956692320381765 absolute error = 2.398081733190338e-14 relative error = 8.110690844154797e-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 = 1.62 Order of pole (three term test) = 32.62 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.689999999999815 y[1] (closed_form) = -2.953509984337776 y[1] (numeric) = -2.953509984337751 absolute error = 2.442490654175344e-14 relative error = 8.269789731972042e-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 = 1.618 Order of pole (three term test) = 32.62 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.699999999999814 y[1] (closed_form) = -2.950319164962765 y[1] (numeric) = -2.95031916496274 absolute error = 2.486899575160351e-14 relative error = 8.42925607742421e-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 = 1.615 Order of pole (three term test) = 32.62 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.709999999999813 y[1] (closed_form) = -2.947119933229079 y[1] (numeric) = -2.947119933229053 absolute error = 2.620126338115369e-14 relative error = 8.890463901971469e-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 = 1.613 Order of pole (three term test) = 32.63 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.719999999999811 y[1] (closed_form) = -2.94391236027475 y[1] (numeric) = -2.943912360274723 absolute error = 2.620126338115369e-14 relative error = 8.900150607305572e-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 = 1.61 Order of pole (three term test) = 32.63 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.72999999999981 y[1] (closed_form) = -2.940696517402881 y[1] (numeric) = -2.940696517402854 absolute error = 2.664535259100376e-14 relative error = 9.06089847535032e-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 = 1.608 Order of pole (three term test) = 32.63 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.739999999999809 y[1] (closed_form) = -2.937472476081004 y[1] (numeric) = -2.937472476080977 absolute error = 2.664535259100376e-14 relative error = 9.070843321246146e-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 = 1.605 Order of pole (three term test) = 32.63 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.749999999999808 y[1] (closed_form) = -2.934240307940438 y[1] (numeric) = -2.93424030794041 absolute error = 2.708944180085382e-14 relative error = 9.232182424713563e-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 = 1.602 Order of pole (three term test) = 32.64 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.759999999999807 y[1] (closed_form) = -2.931000084775641 y[1] (numeric) = -2.931000084775613 absolute error = 2.753353101070388e-14 relative error = 9.393903177867527e-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 = 1.599 Order of pole (three term test) = 32.64 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.769999999999806 y[1] (closed_form) = -2.927751878543568 y[1] (numeric) = -2.92775187854354 absolute error = 2.797762022055394e-14 relative error = 9.556007947801785e-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 = 1.596 Order of pole (three term test) = 32.64 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.779999999999805 y[1] (closed_form) = -2.924495761363023 y[1] (numeric) = -2.924495761362995 absolute error = 2.797762022055394e-14 relative error = 9.566647553462135e-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 = 1.594 Order of pole (three term test) = 32.65 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.789999999999804 y[1] (closed_form) = -2.921231805514003 y[1] (numeric) = -2.921231805513975 absolute error = 2.797762022055394e-14 relative error = 9.577336576900361e-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 = 1.591 Order of pole (three term test) = 32.65 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.799999999999803 y[1] (closed_form) = -2.917960083437059 y[1] (numeric) = -2.917960083437031 absolute error = 2.797762022055394e-14 relative error = 9.588075032061153e-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 = 1.588 Order of pole (three term test) = 32.65 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.809999999999802 y[1] (closed_form) = -2.914680667732634 y[1] (numeric) = -2.914680667732606 absolute error = 2.842170943040401e-14 relative error = 9.751225835835252e-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 = 1.585 Order of pole (three term test) = 32.66 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.8199999999998 y[1] (closed_form) = -2.911393631160415 y[1] (numeric) = -2.911393631160387 absolute error = 2.842170943040401e-14 relative error = 9.762235214849928e-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 = 1.581 Order of pole (three term test) = 32.66 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.829999999999799 y[1] (closed_form) = -2.908099046638677 y[1] (numeric) = -2.908099046638648 absolute error = 2.886579864025407e-14 relative error = 9.926002580145463e-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 = 1.578 Order of pole (three term test) = 32.66 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.839999999999798 y[1] (closed_form) = -2.904796987243625 y[1] (numeric) = -2.904796987243596 absolute error = 2.886579864025407e-14 relative error = 9.937286070943277e-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 = 1.575 Order of pole (three term test) = 32.66 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.849999999999797 y[1] (closed_form) = -2.901487526208739 y[1] (numeric) = -2.901487526208709 absolute error = 2.97539770599542e-14 relative error = 1.02547320266555e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.572 Order of pole (three term test) = 32.67 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.859999999999796 y[1] (closed_form) = -2.898170736924113 y[1] (numeric) = -2.898170736924083 absolute error = 3.064215547965432e-14 relative error = 1.057292970674856e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.568 Order of pole (three term test) = 32.67 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.869999999999795 y[1] (closed_form) = -2.894846692935797 y[1] (numeric) = -2.894846692935765 absolute error = 3.108624468950438e-14 relative error = 1.07384770203421e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.565 Order of pole (three term test) = 32.67 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.879999999999794 y[1] (closed_form) = -2.891515467945129 y[1] (numeric) = -2.891515467945098 absolute error = 3.108624468950438e-14 relative error = 1.075084848555072e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.561 Order of pole (three term test) = 32.67 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.889999999999793 y[1] (closed_form) = -2.88817713580808 y[1] (numeric) = -2.888177135808049 absolute error = 3.153033389935445e-14 relative error = 1.091703604617471e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.558 Order of pole (three term test) = 32.68 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.899999999999792 y[1] (closed_form) = -2.884831770534584 y[1] (numeric) = -2.884831770534552 absolute error = 3.197442310920451e-14 relative error = 1.108363525242214e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.554 Order of pole (three term test) = 32.68 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.909999999999791 y[1] (closed_form) = -2.881479446287872 y[1] (numeric) = -2.88147944628784 absolute error = 3.197442310920451e-14 relative error = 1.109652999621297e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.551 Order of pole (three term test) = 32.68 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.919999999999789 y[1] (closed_form) = -2.878120237383808 y[1] (numeric) = -2.878120237383775 absolute error = 3.33066907387547e-14 relative error = 1.157237640948255e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.547 Order of pole (three term test) = 32.69 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.929999999999788 y[1] (closed_form) = -2.874754218290215 y[1] (numeric) = -2.874754218290181 absolute error = 3.33066907387547e-14 relative error = 1.158592638175661e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.543 Order of pole (three term test) = 32.69 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.939999999999787 y[1] (closed_form) = -2.871381463626208 y[1] (numeric) = -2.871381463626175 absolute error = 3.286260152890463e-14 relative error = 1.144487486082853e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.539 Order of pole (three term test) = 32.69 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.949999999999786 y[1] (closed_form) = -2.868002048161524 y[1] (numeric) = -2.868002048161492 absolute error = 3.197442310920451e-14 relative error = 1.114867513072422e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.536 Order of pole (three term test) = 32.69 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.959999999999785 y[1] (closed_form) = -2.864616046815847 y[1] (numeric) = -2.864616046815814 absolute error = 3.241851231905457e-14 relative error = 1.131687869831255e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.532 Order of pole (three term test) = 32.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.969999999999784 y[1] (closed_form) = -2.861223534658131 y[1] (numeric) = -2.861223534658098 absolute error = 3.33066907387547e-14 relative error = 1.164071605566962e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.528 Order of pole (three term test) = 32.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.979999999999783 y[1] (closed_form) = -2.85782458690593 y[1] (numeric) = -2.857824586905897 absolute error = 3.33066907387547e-14 relative error = 1.165456091719566e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.524 Order of pole (three term test) = 32.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.989999999999782 y[1] (closed_form) = -2.854419278924717 y[1] (numeric) = -2.854419278924683 absolute error = 3.375077994860476e-14 relative error = 1.182404428031994e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.52 Order of pole (three term test) = 32.71 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.999999999999781 y[1] (closed_form) = -2.851007686227208 y[1] (numeric) = -2.851007686227173 absolute error = 3.463895836830488e-14 relative error = 1.214972465196798e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.515 Order of pole (three term test) = 32.71 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.00999999999978 y[1] (closed_form) = -2.847589884472678 y[1] (numeric) = -2.847589884472644 absolute error = 3.463895836830488e-14 relative error = 1.216430728216307e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.511 Order of pole (three term test) = 32.71 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.019999999999778 y[1] (closed_form) = -2.844165949466289 y[1] (numeric) = -2.844165949466254 absolute error = 3.508304757815495e-14 relative error = 1.233509162316577e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.507 Order of pole (three term test) = 32.71 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.029999999999777 y[1] (closed_form) = -2.840735957158397 y[1] (numeric) = -2.840735957158363 absolute error = 3.463895836830488e-14 relative error = 1.219365646462771e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.503 Order of pole (three term test) = 32.72 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.039999999999776 y[1] (closed_form) = -2.837299983643877 y[1] (numeric) = -2.837299983643842 absolute error = 3.508304757815495e-14 relative error = 1.236494124005126e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.498 Order of pole (three term test) = 32.72 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.049999999999775 y[1] (closed_form) = -2.833858105161433 y[1] (numeric) = -2.833858105161398 absolute error = 3.552713678800501e-14 relative error = 1.253666749344219e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.494 Order of pole (three term test) = 32.72 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.059999999999774 y[1] (closed_form) = -2.830410398092915 y[1] (numeric) = -2.830410398092878 absolute error = 3.68594044175552e-14 relative error = 1.302263602564154e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.49 Order of pole (three term test) = 32.72 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.069999999999773 y[1] (closed_form) = -2.826956938962627 y[1] (numeric) = -2.82695693896259 absolute error = 3.641531520770513e-14 relative error = 1.288145380136848e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.485 Order of pole (three term test) = 32.73 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.079999999999772 y[1] (closed_form) = -2.823497804436644 y[1] (numeric) = -2.823497804436608 absolute error = 3.641531520770513e-14 relative error = 1.289723517775884e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.48 Order of pole (three term test) = 32.73 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.089999999999771 y[1] (closed_form) = -2.820033071322121 y[1] (numeric) = -2.820033071322084 absolute error = 3.68594044175552e-14 relative error = 1.307055750246019e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.476 Order of pole (three term test) = 32.73 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.09999999999977 y[1] (closed_form) = -2.816562816566598 y[1] (numeric) = -2.81656281656656 absolute error = 3.774758283725532e-14 relative error = 1.340200282955869e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.471 Order of pole (three term test) = 32.73 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.109999999999769 y[1] (closed_form) = -2.813087117257308 y[1] (numeric) = -2.81308711725727 absolute error = 3.819167204710538e-14 relative error = 1.357642705510711e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.466 Order of pole (three term test) = 32.74 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.119999999999767 y[1] (closed_form) = -2.809606050620489 y[1] (numeric) = -2.809606050620451 absolute error = 3.863576125695545e-14 relative error = 1.375130910200842e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.462 Order of pole (three term test) = 32.74 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.129999999999766 y[1] (closed_form) = -2.806119694020682 y[1] (numeric) = -2.806119694020643 absolute error = 3.819167204710538e-14 relative error = 1.361013649149918e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.457 Order of pole (three term test) = 32.74 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.139999999999765 y[1] (closed_form) = -2.802628124960038 y[1] (numeric) = -2.802628124959999 absolute error = 3.952393967665557e-14 relative error = 1.410245595006263e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.452 Order of pole (three term test) = 32.75 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.149999999999764 y[1] (closed_form) = -2.79913142107762 y[1] (numeric) = -2.79913142107758 absolute error = 4.04121180963557e-14 relative error = 1.443737789231693e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.447 Order of pole (three term test) = 32.75 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.159999999999763 y[1] (closed_form) = -2.795629660148706 y[1] (numeric) = -2.795629660148665 absolute error = 4.085620730620576e-14 relative error = 1.461431315048808e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.442 Order of pole (three term test) = 32.75 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.169999999999762 y[1] (closed_form) = -2.792122920084084 y[1] (numeric) = -2.792122920084043 absolute error = 4.174438572590589e-14 relative error = 1.495076933240774e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.437 Order of pole (three term test) = 32.75 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.179999999999761 y[1] (closed_form) = -2.788611278929358 y[1] (numeric) = -2.788611278929316 absolute error = 4.218847493575595e-14 relative error = 1.512884755739549e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.432 Order of pole (three term test) = 32.76 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.18999999999976 y[1] (closed_form) = -2.785094814864238 y[1] (numeric) = -2.785094814864196 absolute error = 4.218847493575595e-14 relative error = 1.514794925852909e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.427 Order of pole (three term test) = 32.76 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.199999999999759 y[1] (closed_form) = -2.781573606201843 y[1] (numeric) = -2.781573606201801 absolute error = 4.263256414560601e-14 relative error = 1.532677907589852e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.422 Order of pole (three term test) = 32.76 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.209999999999757 y[1] (closed_form) = -2.778047731387992 y[1] (numeric) = -2.778047731387949 absolute error = 4.307665335545607e-14 relative error = 1.550608827514052e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.416 Order of pole (three term test) = 32.76 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.219999999999756 y[1] (closed_form) = -2.7745172690005 y[1] (numeric) = -2.774517269000456 absolute error = 4.39648317751562e-14 relative error = 1.584593913556509e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.411 Order of pole (three term test) = 32.77 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.229999999999755 y[1] (closed_form) = -2.770982297748467 y[1] (numeric) = -2.770982297748424 absolute error = 4.307665335545607e-14 relative error = 1.554562560376425e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.406 Order of pole (three term test) = 32.77 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.239999999999754 y[1] (closed_form) = -2.767442896471578 y[1] (numeric) = -2.767442896471534 absolute error = 4.352074256530614e-14 relative error = 1.572597672052927e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.4 Order of pole (three term test) = 32.77 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.249999999999753 y[1] (closed_form) = -2.763899144139383 y[1] (numeric) = -2.763899144139339 absolute error = 4.39648317751562e-14 relative error = 1.590681478677684e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.395 Order of pole (three term test) = 32.77 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.259999999999752 y[1] (closed_form) = -2.760351119850595 y[1] (numeric) = -2.760351119850551 absolute error = 4.39648317751562e-14 relative error = 1.592726065136808e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.389 Order of pole (three term test) = 32.78 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.269999999999751 y[1] (closed_form) = -2.756798902832374 y[1] (numeric) = -2.756798902832329 absolute error = 4.440892098500626e-14 relative error = 1.610887211953687e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.384 Order of pole (three term test) = 32.78 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.27999999999975 y[1] (closed_form) = -2.753242572439611 y[1] (numeric) = -2.753242572439567 absolute error = 4.485301019485632e-14 relative error = 1.629097655391572e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.378 Order of pole (three term test) = 32.78 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.289999999999749 y[1] (closed_form) = -2.749682208154223 y[1] (numeric) = -2.749682208154177 absolute error = 4.574118861455645e-14 relative error = 1.663508185742712e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.373 Order of pole (three term test) = 32.78 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.299999999999748 y[1] (closed_form) = -2.746117889584426 y[1] (numeric) = -2.746117889584379 absolute error = 4.662936703425657e-14 relative error = 1.69801038808691e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.367 Order of pole (three term test) = 32.79 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.309999999999746 y[1] (closed_form) = -2.742549696464029 y[1] (numeric) = -2.742549696463982 absolute error = 4.662936703425657e-14 relative error = 1.700219583782779e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.361 Order of pole (three term test) = 32.79 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.319999999999745 y[1] (closed_form) = -2.73897770865171 y[1] (numeric) = -2.738977708651663 absolute error = 4.662936703425657e-14 relative error = 1.702436894136329e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.355 Order of pole (three term test) = 32.79 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.329999999999744 y[1] (closed_form) = -2.735402006130299 y[1] (numeric) = -2.735402006130252 absolute error = 4.796163466380676e-14 relative error = 1.753366947758323e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.349 Order of pole (three term test) = 32.79 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.339999999999743 y[1] (closed_form) = -2.73182266900606 y[1] (numeric) = -2.731822669006011 absolute error = 4.840572387365683e-14 relative error = 1.771920425979504e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.344 Order of pole (three term test) = 32.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.349999999999742 y[1] (closed_form) = -2.728239777507964 y[1] (numeric) = -2.728239777507916 absolute error = 4.840572387365683e-14 relative error = 1.7742474203595e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.338 Order of pole (three term test) = 32.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.359999999999741 y[1] (closed_form) = -2.724653411986977 y[1] (numeric) = -2.724653411986929 absolute error = 4.840572387365683e-14 relative error = 1.776582799878262e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.332 Order of pole (three term test) = 32.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.36999999999974 y[1] (closed_form) = -2.721063652915327 y[1] (numeric) = -2.721063652915278 absolute error = 4.884981308350689e-14 relative error = 1.795246981127015e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.326 Order of pole (three term test) = 32.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.379999999999739 y[1] (closed_form) = -2.717470580885785 y[1] (numeric) = -2.717470580885735 absolute error = 5.018208071305708e-14 relative error = 1.846646696601946e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.32 Order of pole (three term test) = 32.81 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.389999999999738 y[1] (closed_form) = -2.71387427661094 y[1] (numeric) = -2.713874276610889 absolute error = 5.062616992290714e-14 relative error = 1.865457451703644e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.313 Order of pole (three term test) = 32.81 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.399999999999737 y[1] (closed_form) = -2.710274820922469 y[1] (numeric) = -2.710274820922418 absolute error = 5.10702591327572e-14 relative error = 1.884320318312773e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.307 Order of pole (three term test) = 32.81 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.409999999999735 y[1] (closed_form) = -2.706672294770412 y[1] (numeric) = -2.706672294770361 absolute error = 5.10702591327572e-14 relative error = 1.886828310594916e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.301 Order of pole (three term test) = 32.81 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.419999999999734 y[1] (closed_form) = -2.703066779222444 y[1] (numeric) = -2.703066779222393 absolute error = 5.151434834260726e-14 relative error = 1.905774165055061e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.295 Order of pole (three term test) = 32.81 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.429999999999733 y[1] (closed_form) = -2.699458355463145 y[1] (numeric) = -2.699458355463093 absolute error = 5.195843755245733e-14 relative error = 1.924772702912946e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.288 Order of pole (three term test) = 32.82 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.439999999999732 y[1] (closed_form) = -2.695847104793266 y[1] (numeric) = -2.695847104793214 absolute error = 5.240252676230739e-14 relative error = 1.943824138584667e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.282 Order of pole (three term test) = 32.82 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.449999999999731 y[1] (closed_form) = -2.692233108629003 y[1] (numeric) = -2.692233108628951 absolute error = 5.240252676230739e-14 relative error = 1.946433486548753e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.276 Order of pole (three term test) = 32.82 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.45999999999973 y[1] (closed_form) = -2.688616448501262 y[1] (numeric) = -2.688616448501208 absolute error = 5.373479439185758e-14 relative error = 1.998603944486445e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.269 Order of pole (three term test) = 32.82 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.469999999999729 y[1] (closed_form) = -2.68499720605492 y[1] (numeric) = -2.684997206054866 absolute error = 5.417888360170764e-14 relative error = 2.01783761560456e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.263 Order of pole (three term test) = 32.83 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.479999999999728 y[1] (closed_form) = -2.681375463048099 y[1] (numeric) = -2.681375463048044 absolute error = 5.417888360170764e-14 relative error = 2.020563115771891e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.256 Order of pole (three term test) = 32.83 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.489999999999727 y[1] (closed_form) = -2.677751301351424 y[1] (numeric) = -2.67775130135137 absolute error = 5.417888360170764e-14 relative error = 2.023297816132674e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.249 Order of pole (three term test) = 32.83 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.499999999999726 y[1] (closed_form) = -2.67412480294729 y[1] (numeric) = -2.674124802947236 absolute error = 5.46229728115577e-14 relative error = 2.042648598575314e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.243 Order of pole (three term test) = 32.83 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.509999999999724 y[1] (closed_form) = -2.670496049929121 y[1] (numeric) = -2.670496049929066 absolute error = 5.506706202140776e-14 relative error = 2.062053678112324e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.236 Order of pole (three term test) = 32.84 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.519999999999723 y[1] (closed_form) = -2.666865124500631 y[1] (numeric) = -2.666865124500576 absolute error = 5.551115123125783e-14 relative error = 2.081513261442206e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.229 Order of pole (three term test) = 32.84 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.529999999999722 y[1] (closed_form) = -2.663232108975088 y[1] (numeric) = -2.663232108975033 absolute error = 5.506706202140776e-14 relative error = 2.067677910454438e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.223 Order of pole (three term test) = 32.84 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.539999999999721 y[1] (closed_form) = -2.659597085774571 y[1] (numeric) = -2.659597085774515 absolute error = 5.595524044110789e-14 relative error = 2.103899148498717e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.216 Order of pole (three term test) = 32.84 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.54999999999972 y[1] (closed_form) = -2.655960137429225 y[1] (numeric) = -2.655960137429169 absolute error = 5.595524044110789e-14 relative error = 2.106780130189321e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.209 Order of pole (three term test) = 32.84 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.559999999999719 y[1] (closed_form) = -2.652321346576525 y[1] (numeric) = -2.652321346576468 absolute error = 5.639932965095795e-14 relative error = 2.126413894898339e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.202 Order of pole (three term test) = 32.85 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.569999999999718 y[1] (closed_form) = -2.648680795960525 y[1] (numeric) = -2.648680795960467 absolute error = 5.728750807065808e-14 relative error = 2.162869461583542e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.195 Order of pole (three term test) = 32.85 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.579999999999717 y[1] (closed_form) = -2.645038568431119 y[1] (numeric) = -2.645038568431061 absolute error = 5.773159728050814e-14 relative error = 2.182637257903998e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.188 Order of pole (three term test) = 32.85 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.589999999999716 y[1] (closed_form) = -2.641394746943292 y[1] (numeric) = -2.641394746943234 absolute error = 5.81756864903582e-14 relative error = 2.202460899026206e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.181 Order of pole (three term test) = 32.85 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.599999999999715 y[1] (closed_form) = -2.637749414556376 y[1] (numeric) = -2.637749414556317 absolute error = 5.906386491005833e-14 relative error = 2.239176495845867e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.174 Order of pole (three term test) = 32.85 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.609999999999713 y[1] (closed_form) = -2.6341026544333 y[1] (numeric) = -2.634102654433241 absolute error = 5.906386491005833e-14 relative error = 2.242276503941541e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.167 Order of pole (three term test) = 32.86 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.619999999999712 y[1] (closed_form) = -2.630454549839843 y[1] (numeric) = -2.630454549839783 absolute error = 5.995204332975845e-14 relative error = 2.279151461993847e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.16 Order of pole (three term test) = 32.86 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.629999999999711 y[1] (closed_form) = -2.626805184143882 y[1] (numeric) = -2.626805184143822 absolute error = 5.995204332975845e-14 relative error = 2.282317839619224e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.153 Order of pole (three term test) = 32.86 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.63999999999971 y[1] (closed_form) = -2.623154640814649 y[1] (numeric) = -2.623154640814588 absolute error = 6.039613253960852e-14 relative error = 2.302423639074967e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.145 Order of pole (three term test) = 32.86 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.649999999999709 y[1] (closed_form) = -2.619503003421968 y[1] (numeric) = -2.619503003421908 absolute error = 5.950795411990839e-14 relative error = 2.271726890260123e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.138 Order of pole (three term test) = 32.87 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.659999999999708 y[1] (closed_form) = -2.615850355635514 y[1] (numeric) = -2.615850355635454 absolute error = 5.995204332975845e-14 relative error = 2.291875878931662e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.131 Order of pole (three term test) = 32.87 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.669999999999707 y[1] (closed_form) = -2.612196781224054 y[1] (numeric) = -2.612196781223993 absolute error = 6.039613253960852e-14 relative error = 2.312082036610863e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.123 Order of pole (three term test) = 32.87 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.679999999999706 y[1] (closed_form) = -2.608542364054695 y[1] (numeric) = -2.608542364054634 absolute error = 6.039613253960852e-14 relative error = 2.31532112998653e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.116 Order of pole (three term test) = 32.87 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.689999999999705 y[1] (closed_form) = -2.604887188092129 y[1] (numeric) = -2.604887188092068 absolute error = 6.084022174945858e-14 relative error = 2.335618295778066e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.108 Order of pole (three term test) = 32.87 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.699999999999704 y[1] (closed_form) = -2.601231337397876 y[1] (numeric) = -2.601231337397815 absolute error = 6.128431095930864e-14 relative error = 2.355973114663995e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.101 Order of pole (three term test) = 32.88 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.709999999999702 y[1] (closed_form) = -2.59757489612953 y[1] (numeric) = -2.597574896129468 absolute error = 6.17284001691587e-14 relative error = 2.376385768939175e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.093 Order of pole (three term test) = 32.88 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.719999999999701 y[1] (closed_form) = -2.593917948539997 y[1] (numeric) = -2.593917948539935 absolute error = 6.217248937900877e-14 relative error = 2.396856439271834e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.086 Order of pole (three term test) = 32.88 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.7299999999997 y[1] (closed_form) = -2.590260578976745 y[1] (numeric) = -2.590260578976682 absolute error = 6.261657858885883e-14 relative error = 2.417385304670577e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.078 Order of pole (three term test) = 32.88 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.739999999999699 y[1] (closed_form) = -2.586602871881035 y[1] (numeric) = -2.586602871880971 absolute error = 6.350475700855895e-14 relative error = 2.455141363172495e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.071 Order of pole (three term test) = 32.88 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.749999999999698 y[1] (closed_form) = -2.582944911787168 y[1] (numeric) = -2.582944911787103 absolute error = 6.483702463810914e-14 relative error = 2.510197733688703e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.063 Order of pole (three term test) = 32.89 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.759999999999697 y[1] (closed_form) = -2.579286783321721 y[1] (numeric) = -2.579286783321655 absolute error = 6.616929226765933e-14 relative error = 2.565410434214824e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.055 Order of pole (three term test) = 32.89 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.769999999999696 y[1] (closed_form) = -2.575628571202787 y[1] (numeric) = -2.57562857120272 absolute error = 6.661338147750939e-14 relative error = 2.586296107377073e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.047 Order of pole (three term test) = 32.89 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.779999999999695 y[1] (closed_form) = -2.571970360239211 y[1] (numeric) = -2.571970360239144 absolute error = 6.750155989720952e-14 relative error = 2.624507690319238e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.04 Order of pole (three term test) = 32.89 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.789999999999694 y[1] (closed_form) = -2.568312235329828 y[1] (numeric) = -2.56831223532976 absolute error = 6.794564910705958e-14 relative error = 2.645536947275955e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.032 Order of pole (three term test) = 32.89 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.799999999999693 y[1] (closed_form) = -2.564654281462699 y[1] (numeric) = -2.564654281462631 absolute error = 6.794564910705958e-14 relative error = 2.649310263694027e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.024 Order of pole (three term test) = 32.89 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.809999999999691 y[1] (closed_form) = -2.560996583714346 y[1] (numeric) = -2.560996583714277 absolute error = 6.883382752675971e-14 relative error = 2.68777506243005e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.016 Order of pole (three term test) = 32.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.81999999999969 y[1] (closed_form) = -2.557339227248982 y[1] (numeric) = -2.557339227248913 absolute error = 6.883382752675971e-14 relative error = 2.691618960571243e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1.008 Order of pole (three term test) = 32.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.829999999999689 y[1] (closed_form) = -2.553682297317754 y[1] (numeric) = -2.553682297317684 absolute error = 6.972200594645983e-14 relative error = 2.730253721055746e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 1 Order of pole (three term test) = 32.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.839999999999688 y[1] (closed_form) = -2.550025879257965 y[1] (numeric) = -2.550025879257896 absolute error = 6.927791673660977e-14 relative error = 2.716753476900753e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 0.9921 Order of pole (three term test) = 32.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.849999999999687 y[1] (closed_form) = -2.546370058492315 y[1] (numeric) = -2.546370058492246 absolute error = 6.972200594645983e-14 relative error = 2.738094006168987e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 0.9841 Order of pole (three term test) = 32.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.859999999999686 y[1] (closed_form) = -2.542714920528128 y[1] (numeric) = -2.542714920528057 absolute error = 7.016609515630989e-14 relative error = 2.759495159675086e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 0.976 Order of pole (three term test) = 32.91 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.869999999999685 y[1] (closed_form) = -2.539060550956579 y[1] (numeric) = -2.539060550956508 absolute error = 7.061018436615996e-14 relative error = 2.780957088225325e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 0.9678 Order of pole (three term test) = 32.91 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.879999999999684 y[1] (closed_form) = -2.53540703545193 y[1] (numeric) = -2.535407035451859 absolute error = 7.061018436615996e-14 relative error = 2.784964440771691e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 0.9597 Order of pole (three term test) = 32.91 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.889999999999683 y[1] (closed_form) = -2.531754459770758 y[1] (numeric) = -2.531754459770687 absolute error = 7.105427357601002e-14 relative error = 2.806523093177202e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 0.9515 Order of pole (three term test) = 32.91 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.899999999999681 y[1] (closed_form) = -2.528102909751178 y[1] (numeric) = -2.528102909751107 absolute error = 7.194245199571014e-14 relative error = 2.845708998562518e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 0.9433 Order of pole (three term test) = 32.91 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.90999999999968 y[1] (closed_form) = -2.524452471312078 y[1] (numeric) = -2.524452471312006 absolute error = 7.194245199571014e-14 relative error = 2.849823984141727e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 0.935 Order of pole (three term test) = 32.91 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.919999999999679 y[1] (closed_form) = -2.520803230452337 y[1] (numeric) = -2.520803230452265 absolute error = 7.194245199571014e-14 relative error = 2.853949531903792e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 0.9267 Order of pole (three term test) = 32.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.929999999999678 y[1] (closed_form) = -2.517155273250059 y[1] (numeric) = -2.517155273249986 absolute error = 7.283063041541027e-14 relative error = 2.893370591372936e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 0.9184 Order of pole (three term test) = 32.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.939999999999677 y[1] (closed_form) = -2.513508685861795 y[1] (numeric) = -2.513508685861721 absolute error = 7.371880883511039e-14 relative error = 2.932904479295037e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 0.91 Order of pole (three term test) = 32.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.949999999999676 y[1] (closed_form) = -2.509863554521766 y[1] (numeric) = -2.509863554521691 absolute error = 7.416289804496046e-14 relative error = 2.954857761544396e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 0.9016 Order of pole (three term test) = 32.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.959999999999675 y[1] (closed_form) = -2.506219965541089 y[1] (numeric) = -2.506219965541015 absolute error = 7.371880883511039e-14 relative error = 2.941434105892402e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 0.8932 Order of pole (three term test) = 32.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.969999999999674 y[1] (closed_form) = -2.502578005307001 y[1] (numeric) = -2.502578005306926 absolute error = 7.549516567451064e-14 relative error = 3.016695803863638e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 0.8847 Order of pole (three term test) = 32.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.979999999999673 y[1] (closed_form) = -2.498937760282079 y[1] (numeric) = -2.498937760282003 absolute error = 7.593925488436071e-14 relative error = 3.038861395082874e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 0.8762 Order of pole (three term test) = 32.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.989999999999672 y[1] (closed_form) = -2.495299317003463 y[1] (numeric) = -2.495299317003386 absolute error = 7.638334409421077e-14 relative error = 3.061089448216475e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 0.8677 Order of pole (three term test) = 32.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.99999999999967 y[1] (closed_form) = -2.491662762082077 y[1] (numeric) = -2.491662762082001 absolute error = 7.638334409421077e-14 relative error = 3.065557075243341e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 0.8592 Order of pole (three term test) = 32.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.009999999999674 y[1] (closed_form) = -2.488028182201851 y[1] (numeric) = -2.488028182201775 absolute error = 7.593925488436071e-14 relative error = 3.052186282598942e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 0.8506 Order of pole (three term test) = 32.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.019999999999677 y[1] (closed_form) = -2.484395664118938 y[1] (numeric) = -2.484395664118864 absolute error = 7.416289804496046e-14 relative error = 2.985148425271523e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 0.842 Order of pole (three term test) = 32.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.029999999999681 y[1] (closed_form) = -2.480765294660936 y[1] (numeric) = -2.480765294660863 absolute error = 7.283063041541027e-14 relative error = 2.935813015933237e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 0.8333 Order of pole (three term test) = 32.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.039999999999684 y[1] (closed_form) = -2.477137160726106 y[1] (numeric) = -2.477137160726034 absolute error = 7.149836278586008e-14 relative error = 2.886330394595601e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 0.8246 Order of pole (three term test) = 32.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.049999999999687 y[1] (closed_form) = -2.473511349282587 y[1] (numeric) = -2.473511349282516 absolute error = 7.061018436615996e-14 relative error = 2.854653745034952e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 0.8159 Order of pole (three term test) = 32.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.059999999999691 y[1] (closed_form) = -2.469887947367618 y[1] (numeric) = -2.469887947367549 absolute error = 6.883382752675971e-14 relative error = 2.786921066606367e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 0.8072 Order of pole (three term test) = 32.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.069999999999694 y[1] (closed_form) = -2.46626704208675 y[1] (numeric) = -2.466267042086681 absolute error = 6.838973831690964e-14 relative error = 2.773006213432749e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 0.7984 Order of pole (three term test) = 32.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.079999999999697 y[1] (closed_form) = -2.462648720613065 y[1] (numeric) = -2.462648720612997 absolute error = 6.750155989720952e-14 relative error = 2.741014556083554e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 0.7897 Order of pole (three term test) = 32.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.089999999999701 y[1] (closed_form) = -2.459033070186391 y[1] (numeric) = -2.459033070186326 absolute error = 6.52811138479592e-14 relative error = 2.65474729231726e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 0.7808 Order of pole (three term test) = 32.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.099999999999704 y[1] (closed_form) = -2.455420178112517 y[1] (numeric) = -2.455420178112453 absolute error = 6.439293542825908e-14 relative error = 2.622481317138884e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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 = 0.772 Order of pole (three term test) = 32.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.109999999999707 y[1] (closed_form) = -2.451810131762406 y[1] (numeric) = -2.451810131762342 absolute error = 6.394884621840902e-14 relative error = 2.608229951821e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 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 = 0.7631 Order of pole (three term test) = 32.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.119999999999711 y[1] (closed_form) = -2.448203018571409 y[1] (numeric) = -2.448203018571347 absolute error = 6.217248937900877e-14 relative error = 2.539515265171434e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 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 = 0.7542 Order of pole (three term test) = 32.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.129999999999714 y[1] (closed_form) = -2.444598926038479 y[1] (numeric) = -2.444598926038418 absolute error = 6.128431095930864e-14 relative error = 2.506927018029132e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 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 = 0.7453 Order of pole (three term test) = 32.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.139999999999717 y[1] (closed_form) = -2.440997941725384 y[1] (numeric) = -2.440997941725325 absolute error = 5.950795411990839e-14 relative error = 2.437853514855733e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 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 = 0.7363 Order of pole (three term test) = 32.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.149999999999721 y[1] (closed_form) = -2.437400153255917 y[1] (numeric) = -2.437400153255858 absolute error = 5.861977570020827e-14 relative error = 2.405012390842064e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 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 = 0.7273 Order of pole (three term test) = 32.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.159999999999724 y[1] (closed_form) = -2.433805648315107 y[1] (numeric) = -2.43380564831505 absolute error = 5.728750807065808e-14 relative error = 2.353824271478599e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 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 = 0.7183 Order of pole (three term test) = 32.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.169999999999727 y[1] (closed_form) = -2.430214514648434 y[1] (numeric) = -2.430214514648378 absolute error = 5.639932965095795e-14 relative error = 2.320755197164845e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 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 = 0.7093 Order of pole (three term test) = 32.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.179999999999731 y[1] (closed_form) = -2.426626840061036 y[1] (numeric) = -2.426626840060981 absolute error = 5.506706202140776e-14 relative error = 2.269284304958182e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 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 = 0.7002 Order of pole (three term test) = 32.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.189999999999734 y[1] (closed_form) = -2.423042712416916 y[1] (numeric) = -2.423042712416862 absolute error = 5.373479439185758e-14 relative error = 2.21765774563085e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 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 = 0.6911 Order of pole (three term test) = 32.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.199999999999737 y[1] (closed_form) = -2.419462219638158 y[1] (numeric) = -2.419462219638106 absolute error = 5.240252676230739e-14 relative error = 2.165874975726814e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 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 = 0.682 Order of pole (three term test) = 32.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.209999999999741 y[1] (closed_form) = -2.415885449704132 y[1] (numeric) = -2.41588544970408 absolute error = 5.10702591327572e-14 relative error = 2.113935457453567e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 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 = 0.6729 Order of pole (three term test) = 32.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.219999999999744 y[1] (closed_form) = -2.4123124906507 y[1] (numeric) = -2.41231249065065 absolute error = 4.929390229335695e-14 relative error = 2.043429385057006e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 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 = 0.6637 Order of pole (three term test) = 32.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.229999999999747 y[1] (closed_form) = -2.408743430569428 y[1] (numeric) = -2.40874343056938 absolute error = 4.75175454539567e-14 relative error = 1.972710951731523e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 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 = 0.6545 Order of pole (three term test) = 32.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.239999999999751 y[1] (closed_form) = -2.405178357606791 y[1] (numeric) = -2.405178357606744 absolute error = 4.707345624410664e-14 relative error = 1.95717112185168e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 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 = 0.6453 Order of pole (three term test) = 32.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.249999999999754 y[1] (closed_form) = -2.401617359963378 y[1] (numeric) = -2.401617359963332 absolute error = 4.529709940470639e-14 relative error = 1.886108093647238e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 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 = 0.6361 Order of pole (three term test) = 32.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.259999999999757 y[1] (closed_form) = -2.398060525893103 y[1] (numeric) = -2.398060525893059 absolute error = 4.485301019485632e-14 relative error = 1.870386911028938e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 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 = 0.6268 Order of pole (three term test) = 32.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.269999999999761 y[1] (closed_form) = -2.394507943702406 y[1] (numeric) = -2.394507943702362 absolute error = 4.39648317751562e-14 relative error = 1.836069572906801e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 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 = 0.6176 Order of pole (three term test) = 32.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.279999999999764 y[1] (closed_form) = -2.390959701749461 y[1] (numeric) = -2.39095970174942 absolute error = 4.174438572590589e-14 relative error = 1.745925943267115e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 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 = 0.6083 Order of pole (three term test) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.289999999999767 y[1] (closed_form) = -2.387415888443379 y[1] (numeric) = -2.387415888443338 absolute error = 4.085620730620576e-14 relative error = 1.711315045860923e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 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 = 0.5989 Order of pole (three term test) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.299999999999771 y[1] (closed_form) = -2.383876592243412 y[1] (numeric) = -2.383876592243372 absolute error = 3.996802888650564e-14 relative error = 1.676598067892962e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 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 = 0.5896 Order of pole (three term test) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.309999999999774 y[1] (closed_form) = -2.380341901658162 y[1] (numeric) = -2.380341901658123 absolute error = 3.907985046680551e-14 relative error = 1.641774672772102e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 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 = 0.5802 Order of pole (three term test) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.319999999999777 y[1] (closed_form) = -2.376811905244776 y[1] (numeric) = -2.376811905244737 absolute error = 3.819167204710538e-14 relative error = 1.60684452828724e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 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 = 0.5709 Order of pole (three term test) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.329999999999781 y[1] (closed_form) = -2.373286691608155 y[1] (numeric) = -2.373286691608119 absolute error = 3.641531520770513e-14 relative error = 1.534383323197665e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 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 = 0.5615 Order of pole (three term test) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.339999999999784 y[1] (closed_form) = -2.369766349400157 y[1] (numeric) = -2.369766349400122 absolute error = 3.508304757815495e-14 relative error = 1.480443318263646e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 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 = 0.552 Order of pole (three term test) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.349999999999787 y[1] (closed_form) = -2.366250967318793 y[1] (numeric) = -2.36625096731876 absolute error = 3.33066907387547e-14 relative error = 1.407572197487345e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 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 = 0.5426 Order of pole (three term test) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.359999999999791 y[1] (closed_form) = -2.362740634107437 y[1] (numeric) = -2.362740634107406 absolute error = 3.153033389935445e-14 relative error = 1.3344813833646e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 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 = 0.5331 Order of pole (three term test) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.369999999999794 y[1] (closed_form) = -2.359235438554022 y[1] (numeric) = -2.359235438553991 absolute error = 3.064215547965432e-14 relative error = 1.29881719216777e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 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 = 0.5236 Order of pole (three term test) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.379999999999797 y[1] (closed_form) = -2.355735469490239 y[1] (numeric) = -2.355735469490209 absolute error = 2.97539770599542e-14 relative error = 1.263044066080675e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 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 = 0.5141 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.389999999999801 y[1] (closed_form) = -2.352240815790744 y[1] (numeric) = -2.352240815790716 absolute error = 2.842170943040401e-14 relative error = 1.208282299992724e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 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 = 0.5046 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.399999999999804 y[1] (closed_form) = -2.348751566372354 y[1] (numeric) = -2.348751566372327 absolute error = 2.708944180085382e-14 relative error = 1.153354922193557e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 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 = 0.4951 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.409999999999807 y[1] (closed_form) = -2.345267810193246 y[1] (numeric) = -2.345267810193221 absolute error = 2.531308496145357e-14 relative error = 1.079325987907872e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 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 = 0.4855 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.419999999999811 y[1] (closed_form) = -2.341789636252161 y[1] (numeric) = -2.341789636252137 absolute error = 2.353672812205332e-14 relative error = 1.005074399411977e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 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 = 0.4759 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.429999999999814 y[1] (closed_form) = -2.338317133587596 y[1] (numeric) = -2.338317133587573 absolute error = 2.220446049250313e-14 relative error = 9.495914892620072e-13 % Desired digits = 8 Estimated correct digits = 11 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 = 0.4663 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.439999999999817 y[1] (closed_form) = -2.334850391277008 y[1] (numeric) = -2.334850391276987 absolute error = 2.042810365310288e-14 relative error = 8.749213109937236e-13 % Desired digits = 8 Estimated correct digits = 11 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 = 0.4567 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.449999999999821 y[1] (closed_form) = -2.331389498436011 y[1] (numeric) = -2.331389498435992 absolute error = 1.865174681370263e-14 relative error = 8.000270579504183e-13 % Desired digits = 8 Estimated correct digits = 11 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 = 0.4471 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.459999999999824 y[1] (closed_form) = -2.327934544217574 y[1] (numeric) = -2.327934544217557 absolute error = 1.731947918415244e-14 relative error = 7.439848009117272e-13 % Desired digits = 8 Estimated correct digits = 11 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 = 0.4375 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.469999999999827 y[1] (closed_form) = -2.324485617811219 y[1] (numeric) = -2.324485617811203 absolute error = 1.643130076445232e-14 relative error = 7.068790031888581e-13 % Desired digits = 8 Estimated correct digits = 11 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 = 0.4278 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.479999999999831 y[1] (closed_form) = -2.321042808442216 y[1] (numeric) = -2.3210428084422 absolute error = 1.554312234475219e-14 relative error = 6.696611664471656e-13 % Desired digits = 8 Estimated correct digits = 11 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 = 0.4181 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.489999999999834 y[1] (closed_form) = -2.317606205370781 y[1] (numeric) = -2.317606205370767 absolute error = 1.4210854715202e-14 relative error = 6.131695144011097e-13 % Desired digits = 8 Estimated correct digits = 11 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 = 0.4085 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.499999999999837 y[1] (closed_form) = -2.314175897891277 y[1] (numeric) = -2.314175897891265 absolute error = 1.287858708565182e-14 relative error = 5.565085652040122e-13 % Desired digits = 8 Estimated correct digits = 11 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 = 0.3987 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.509999999999841 y[1] (closed_form) = -2.310751975331403 y[1] (numeric) = -2.310751975331392 absolute error = 1.110223024625157e-14 relative error = 4.804596237404192e-13 % Desired digits = 8 Estimated correct digits = 11 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 = 0.389 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.519999999999844 y[1] (closed_form) = -2.307334527051396 y[1] (numeric) = -2.307334527051386 absolute error = 9.769962616701378e-15 relative error = 4.234306946893684e-13 % Desired digits = 8 Estimated correct digits = 11 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 = 0.3793 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.529999999999847 y[1] (closed_form) = -2.303923642443222 y[1] (numeric) = -2.303923642443213 absolute error = 8.881784197001252e-15 relative error = 3.855068819721153e-13 % Desired digits = 8 Estimated correct digits = 11 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 = 0.3696 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.539999999999851 y[1] (closed_form) = -2.300519410929777 y[1] (numeric) = -2.300519410929769 absolute error = 7.993605777301127e-15 relative error = 3.474696079208667e-13 % Desired digits = 8 Estimated correct digits = 11 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 = 0.3598 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.549999999999854 y[1] (closed_form) = -2.297121921964076 y[1] (numeric) = -2.297121921964069 absolute error = 7.105427357601002e-15 relative error = 3.093186865556421e-13 % Desired digits = 8 Estimated correct digits = 11 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 = 0.35 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.559999999999858 y[1] (closed_form) = -2.293731265028454 y[1] (numeric) = -2.293731265028448 absolute error = 5.773159728050814e-15 relative error = 2.516929431128977e-13 % Desired digits = 8 Estimated correct digits = 11 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 = 0.3402 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.569999999999861 y[1] (closed_form) = -2.290347529633754 y[1] (numeric) = -2.29034752963375 absolute error = 3.996802888650564e-15 relative error = 1.745063942016558e-13 % Desired digits = 8 Estimated correct digits = 11 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 = 0.3305 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.579999999999864 y[1] (closed_form) = -2.286970805318531 y[1] (numeric) = -2.286970805318528 absolute error = 2.664535259100376e-15 relative error = 1.165093692015564e-13 % Desired digits = 8 Estimated correct digits = 11 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 = 0.3206 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.589999999999868 y[1] (closed_form) = -2.283601181648233 y[1] (numeric) = -2.283601181648232 absolute error = 1.77635683940025e-15 relative error = 7.778752497045611e-14 % Desired digits = 8 Estimated correct digits = 11 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 = 0.3108 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.599999999999871 y[1] (closed_form) = -2.280238748214408 y[1] (numeric) = -2.280238748214408 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 11 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 = 0.301 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.609999999999874 y[1] (closed_form) = -2.27688359463389 y[1] (numeric) = -2.276883594633891 absolute error = 8.881784197001252e-16 relative error = 3.900851241553872e-14 % Desired digits = 8 Estimated correct digits = 11 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 = 0.2912 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.619999999999878 y[1] (closed_form) = -2.273535810547993 y[1] (numeric) = -2.273535810547995 absolute error = 2.220446049250313e-15 relative error = 9.766488123690987e-14 % Desired digits = 8 Estimated correct digits = 11 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 = 0.2813 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.629999999999881 y[1] (closed_form) = -2.270195485621706 y[1] (numeric) = -2.270195485621709 absolute error = 3.108624468950438e-15 relative error = 1.369320170284421e-13 % Desired digits = 8 Estimated correct digits = 11 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 = 0.2714 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.639999999999884 y[1] (closed_form) = -2.266862709542887 y[1] (numeric) = -2.266862709542891 absolute error = 3.552713678800501e-15 relative error = 1.567238132174712e-13 % Desired digits = 8 Estimated correct digits = 11 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 = 0.2616 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.649999999999888 y[1] (closed_form) = -2.263537572021453 y[1] (numeric) = -2.263537572021458 absolute error = 4.884981308350689e-15 relative error = 2.158118057650863e-13 % Desired digits = 8 Estimated correct digits = 11 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 = 0.2517 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.659999999999891 y[1] (closed_form) = -2.260220162788575 y[1] (numeric) = -2.260220162788581 absolute error = 6.217248937900877e-15 relative error = 2.750727137231741e-13 % Desired digits = 8 Estimated correct digits = 11 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 = 0.2418 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.669999999999894 y[1] (closed_form) = -2.256910571595868 y[1] (numeric) = -2.256910571595875 absolute error = 7.105427357601002e-15 relative error = 3.148298141284673e-13 % Desired digits = 8 Estimated correct digits = 11 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 = 0.2319 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.679999999999898 y[1] (closed_form) = -2.253608888214587 y[1] (numeric) = -2.253608888214595 absolute error = 7.993605777301127e-15 relative error = 3.547024427842948e-13 % Desired digits = 8 Estimated correct digits = 11 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 = 0.222 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.689999999999901 y[1] (closed_form) = -2.250315202434813 y[1] (numeric) = -2.250315202434821 absolute error = 8.881784197001252e-15 relative error = 3.946906721063465e-13 % Desired digits = 8 Estimated correct digits = 11 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 = 0.2121 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.699999999999904 y[1] (closed_form) = -2.247029604064651 y[1] (numeric) = -2.247029604064662 absolute error = 1.110223024625157e-14 relative error = 4.940847341827961e-13 % Desired digits = 8 Estimated correct digits = 11 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 = 0.2022 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.709999999999908 y[1] (closed_form) = -2.24375218292942 y[1] (numeric) = -2.243752182929431 absolute error = 1.154631945610163e-14 relative error = 5.145986951654737e-13 % Desired digits = 8 Estimated correct digits = 11 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 = 0.1922 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.719999999999911 y[1] (closed_form) = -2.240483028870842 y[1] (numeric) = -2.240483028870856 absolute error = 1.376676550535194e-14 relative error = 6.144552459426623e-13 % Desired digits = 8 Estimated correct digits = 11 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 = 0.1823 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.729999999999914 y[1] (closed_form) = -2.237222231746237 y[1] (numeric) = -2.237222231746252 absolute error = 1.465494392505207e-14 relative error = 6.550508803773744e-13 % Desired digits = 8 Estimated correct digits = 11 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 = 0.1723 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.739999999999918 y[1] (closed_form) = -2.233969881427711 y[1] (numeric) = -2.233969881427726 absolute error = 1.554312234475219e-14 relative error = 6.957623947382279e-13 % Desired digits = 8 Estimated correct digits = 11 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 = 0.1624 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.749999999999921 y[1] (closed_form) = -2.230726067801349 y[1] (numeric) = -2.230726067801366 absolute error = 1.687538997430238e-14 relative error = 7.564976362577374e-13 % Desired digits = 8 Estimated correct digits = 11 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 = 0.1524 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.759999999999924 y[1] (closed_form) = -2.227490880766407 y[1] (numeric) = -2.227490880766426 absolute error = 1.820765760385257e-14 relative error = 8.174066058392977e-13 % Desired digits = 8 Estimated correct digits = 11 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 = 0.1425 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.769999999999928 y[1] (closed_form) = -2.224264410234502 y[1] (numeric) = -2.22426441023452 absolute error = 1.865174681370263e-14 relative error = 8.385579847378036e-13 % Desired digits = 8 Estimated correct digits = 11 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 = 0.1325 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.779999999999931 y[1] (closed_form) = -2.221046746128799 y[1] (numeric) = -2.221046746128819 absolute error = 1.998401444325282e-14 relative error = 8.997565890085027e-13 % Desired digits = 8 Estimated correct digits = 11 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 = 0.1225 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.789999999999934 y[1] (closed_form) = -2.217837978383209 y[1] (numeric) = -2.217837978383229 absolute error = 2.042810365310288e-14 relative error = 9.210818757822358e-13 % Desired digits = 8 Estimated correct digits = 11 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 = 0.1126 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.799999999999938 y[1] (closed_form) = -2.214638196941573 y[1] (numeric) = -2.214638196941595 absolute error = 2.220446049250313e-14 relative error = 1.002622483580731e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 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 = 0.1026 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.809999999999941 y[1] (closed_form) = -2.211447491756859 y[1] (numeric) = -2.211447491756882 absolute error = 2.264854970235319e-14 relative error = 1.024150461938407e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 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 = 0.09261 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.819999999999944 y[1] (closed_form) = -2.208265952790343 y[1] (numeric) = -2.208265952790367 absolute error = 2.398081733190338e-14 relative error = 1.085956938366117e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 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 = 0.08262 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.829999999999948 y[1] (closed_form) = -2.20509367001081 y[1] (numeric) = -2.205093670010836 absolute error = 2.575717417130363e-14 relative error = 1.168076192027587e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 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 = 0.07263 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.839999999999951 y[1] (closed_form) = -2.201930733393738 y[1] (numeric) = -2.201930733393764 absolute error = 2.664535259100376e-14 relative error = 1.210090407791187e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 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 = 0.06264 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.849999999999954 y[1] (closed_form) = -2.198777232920488 y[1] (numeric) = -2.198777232920515 absolute error = 2.753353101070388e-14 relative error = 1.252220124825149e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 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 = 0.05265 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.859999999999958 y[1] (closed_form) = -2.195633258577497 y[1] (numeric) = -2.195633258577525 absolute error = 2.842170943040401e-14 relative error = 1.29446524456538e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 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 = 0.04265 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.869999999999961 y[1] (closed_form) = -2.192498900355466 y[1] (numeric) = -2.192498900355495 absolute error = 2.886579864025407e-14 relative error = 1.316570723733276e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 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 = 0.03265 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.879999999999964 y[1] (closed_form) = -2.189374248248554 y[1] (numeric) = -2.189374248248583 absolute error = 2.930988785010413e-14 relative error = 1.338733561589634e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 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 = 0.02265 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.889999999999968 y[1] (closed_form) = -2.186259392253559 y[1] (numeric) = -2.186259392253589 absolute error = 2.97539770599542e-14 relative error = 1.360953652863867e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 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 = 0.01265 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 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] = 4.900120702156948 y[1] (closed_form) = -2.183117005465465 y[1] (numeric) = -2.183117005465494 absolute error = 2.97539770599542e-14 relative error = 1.362912614645238e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006334263343587311 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.910255523506685 y[1] (closed_form) = -2.179980475738204 y[1] (numeric) = -2.179980475738232 absolute error = 2.797762022055394e-14 relative error = 1.283388568472382e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006334263343587311 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.920390344856423 y[1] (closed_form) = -2.176854287738171 y[1] (numeric) = -2.176854287738198 absolute error = 2.753353101070388e-14 relative error = 1.264831144913802e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006334263343587311 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.01774 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.93052516620616 y[1] (closed_form) = -2.173738535154058 y[1] (numeric) = -2.173738535154084 absolute error = 2.664535259100376e-14 relative error = 1.225784617611121e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006334263343587311 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.940026561221539 y[1] (closed_form) = -2.170827077898169 y[1] (numeric) = -2.170827077898195 absolute error = 2.620126338115369e-14 relative error = 1.206971464835522e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006334263343587311 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.950161382571276 y[1] (closed_form) = -2.167731810536177 y[1] (numeric) = -2.167731810536202 absolute error = 2.531308496145357e-14 relative error = 1.167722171092397e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006334263343587311 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.960296203921014 y[1] (closed_form) = -2.164647253788629 y[1] (numeric) = -2.164647253788654 absolute error = 2.442490654175344e-14 relative error = 1.128355047179362e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006334263343587311 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.970431025270751 y[1] (closed_form) = -2.161573501333239 y[1] (numeric) = -2.161573501333263 absolute error = 2.442490654175344e-14 relative error = 1.129959565413269e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006334263343587311 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.980565846620489 y[1] (closed_form) = -2.158510646842793 y[1] (numeric) = -2.158510646842816 absolute error = 2.353672812205332e-14 relative error = 1.090415197000765e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006334263343587311 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.990067241635868 y[1] (closed_form) = -2.155649201620303 y[1] (numeric) = -2.155649201620326 absolute error = 2.309263891220326e-14 relative error = 1.07126145083558e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006334263343587311 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = sin ( 0.3 * x + 0.1 ) - ( 0.1 * x + 0.2 ) ; Iterations = 4961 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 3 Minutes 0.0 Seconds Percent Done = 100 %