##############ECHO OF PROBLEM################# ##############temp/div_lin_linpostode.ode################# diff ( y , x , 1 ) = (0.1 * x + 0.2) / (0.2 * x + 0.3); ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=0.1; x_end=5.0; array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_max_iter=1000000; glob_display_interval=0.1; glob_max_minutes=10; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_desired_digits_correct=10; glob_display_interval=0.01; glob_look_poles=true; glob_max_iter=10000000; glob_max_minutes=3; glob_subiter_method=3; /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y (double x) { return(0.5 * x + 0.25 * ln(2.0 * x + 3.0)); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Optimize min_size = 0 min_size = 1 glob_desired_digits_correct = 10 desired_abs_gbl_error = 1e-10 range = 4.9 estimated_steps = 4900000.000000001 step_error = 2.040816326530612e-17 est_needed_step_err = 2.040816326530612e-17 opt_iter = 1 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.74074920572346e-164 estimated_step_error = 4.74074920572346e-164 best_h = 2e-06 opt_iter = 2 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.181461979665934e-156 estimated_step_error = 3.181461979665934e-156 best_h = 4e-06 opt_iter = 3 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.13504170816769e-148 estimated_step_error = 2.13504170816769e-148 best_h = 8e-06 opt_iter = 4 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.432800511612334e-140 estimated_step_error = 1.432800511612334e-140 best_h = 1.6e-05 opt_iter = 5 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 9.615338319311518e-133 estimated_step_error = 9.615338319311518e-133 best_h = 3.2e-05 opt_iter = 6 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 6.452713247377524e-125 estimated_step_error = 6.452713247377524e-125 best_h = 6.4e-05 opt_iter = 7 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.330300858702337e-117 estimated_step_error = 4.330300858702337e-117 best_h = 0.000128 opt_iter = 8 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.905959748507633e-109 estimated_step_error = 2.905959748507633e-109 best_h = 0.000256 opt_iter = 9 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.950081464177622e-101 estimated_step_error = 1.950081464177622e-101 best_h = 0.000512 opt_iter = 10 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.308576716612803e-93 estimated_step_error = 1.308576716612803e-93 best_h = 0.001024 opt_iter = 11 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 8.780357074974572e-86 estimated_step_error = 8.780357074974572e-86 best_h = 0.002048 opt_iter = 12 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 5.890583278514203e-78 estimated_step_error = 5.890583278514203e-78 best_h = 0.004096 opt_iter = 13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.950670250039401e-70 estimated_step_error = 3.950670250039401e-70 best_h = 0.008192 opt_iter = 14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.647990101701283e-62 estimated_step_error = 2.647990101701283e-62 best_h = 0.016384 opt_iter = 15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.77267707624364e-54 estimated_step_error = 1.77267707624364e-54 best_h = 0.032768 opt_iter = 16 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.183816548476951e-46 estimated_step_error = 1.183816548476951e-46 best_h = 0.065536 opt_iter = 17 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 7.867691227228289e-39 estimated_step_error = 7.867691227228289e-39 best_h = 0.131072 opt_iter = 18 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 5.180028453200543e-31 estimated_step_error = 5.180028453200543e-31 best_h = 0.1 START of Soultion TOP MAIN SOLVE Loop x[1] = 0.1 y[1] (analytic) = 0.3407877024514202 y[1] (numeric) = 0.3407877024514202 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.673 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.12 Order of pole (six term test) = -6.123e-12 TOP MAIN SOLVE Loop x[1] = 0.11 y[1] (analytic) = 0.3473453398890792 y[1] (numeric) = 0.3473453398890792 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.683 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.12 y[1] (analytic) = 0.3538933324510595 y[1] (numeric) = 0.3538933324510595 absolute error = 5.551115123125783e-17 relative error = 1.568584263704221e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.694 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.13 y[1] (analytic) = 0.360431798844654 y[1] (numeric) = 0.360431798844654 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.704 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.14 y[1] (analytic) = 0.3669608555990131 y[1] (numeric) = 0.366960855599013 absolute error = 5.551115123125783e-17 relative error = 1.512726776828649e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.715 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.15 y[1] (analytic) = 0.3734806171181086 y[1] (numeric) = 0.3734806171181086 absolute error = 5.551115123125783e-17 relative error = 1.486319468453248e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.725 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.16 y[1] (analytic) = 0.3799911957320993 y[1] (numeric) = 0.3799911957320993 absolute error = 5.551115123125783e-17 relative error = 1.460853615945202e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.735 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.17 y[1] (analytic) = 0.3864927017471523 y[1] (numeric) = 0.3864927017471522 absolute error = 5.551115123125783e-17 relative error = 1.436279416928649e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.746 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.18 y[1] (analytic) = 0.3929852434937783 y[1] (numeric) = 0.3929852434937782 absolute error = 1.110223024625157e-16 relative error = 2.825101051517558e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.756 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.253 Order of pole (six term test) = -9.634e-12 TOP MAIN SOLVE Loop x[1] = 0.1900000000000001 y[1] (analytic) = 0.3994689273737319 y[1] (numeric) = 0.3994689273737318 absolute error = 5.551115123125783e-17 relative error = 1.389623758628995e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.767 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2000000000000001 y[1] (analytic) = 0.405943857905529 y[1] (numeric) = 0.4059438579055289 absolute error = 1.110223024625157e-16 relative error = 2.734917656725642e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.777 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2100000000000001 y[1] (analytic) = 0.4124101377686285 y[1] (numeric) = 0.4124101377686284 absolute error = 1.110223024625157e-16 relative error = 2.692036210923644e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.788 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2200000000000001 y[1] (analytic) = 0.4188678678463268 y[1] (numeric) = 0.4188678678463267 absolute error = 1.110223024625157e-16 relative error = 2.650532804852132e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.798 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2300000000000001 y[1] (analytic) = 0.4253171472674083 y[1] (numeric) = 0.4253171472674082 absolute error = 1.110223024625157e-16 relative error = 2.610341557489874e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.809 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2400000000000001 y[1] (analytic) = 0.4317580734465958 y[1] (numeric) = 0.4317580734465957 absolute error = 1.665334536937735e-16 relative error = 3.857101092850138e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.819 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2500000000000001 y[1] (analytic) = 0.4381907421238421 y[1] (numeric) = 0.4381907421238419 absolute error = 1.665334536937735e-16 relative error = 3.800478597211156e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.83 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.651 Order of pole (six term test) = -1.38e-11 TOP MAIN SOLVE Loop x[1] = 0.2600000000000001 y[1] (analytic) = 0.4446152474025015 y[1] (numeric) = 0.4446152474025014 absolute error = 1.665334536937735e-16 relative error = 3.745563263218771e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.84 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2700000000000001 y[1] (analytic) = 0.4510316817864208 y[1] (numeric) = 0.4510316817864207 absolute error = 1.110223024625157e-16 relative error = 2.46151893416411e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.85 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2800000000000001 y[1] (analytic) = 0.4574401362159849 y[1] (numeric) = 0.4574401362159847 absolute error = 1.665334536937735e-16 relative error = 3.640551856060638e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.861 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2900000000000001 y[1] (analytic) = 0.4638407001031523 y[1] (numeric) = 0.4638407001031522 absolute error = 1.110223024625157e-16 relative error = 2.393543784273905e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.871 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.793 Order of pole (six term test) = -1.78e-11 TOP MAIN SOLVE Loop x[1] = 0.3000000000000002 y[1] (analytic) = 0.4702334613655162 y[1] (numeric) = 0.470233461365516 absolute error = 1.665334536937735e-16 relative error = 3.541505813094949e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.882 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 5.609 Order of pole (six term test) = -2.121e-10 TOP MAIN SOLVE Loop x[1] = 0.3100000000000002 y[1] (analytic) = 0.47661850645942 y[1] (numeric) = 0.4766185064594199 absolute error = 1.110223024625157e-16 relative error = 2.329374561790505e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.892 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.832 Order of pole (six term test) = -5.253e-11 TOP MAIN SOLVE Loop x[1] = 0.3200000000000002 y[1] (analytic) = 0.4829959204121624 y[1] (numeric) = 0.4829959204121623 absolute error = 1.665334536937735e-16 relative error = 3.447926714405018e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.903 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 23.31 Order of pole (six term test) = -2.394e-09 TOP MAIN SOLVE Loop x[1] = 0.3300000000000002 y[1] (analytic) = 0.4893657868533188 y[1] (numeric) = 0.4893657868533187 absolute error = 1.665334536937735e-16 relative error = 3.40304651791462e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.913 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3400000000000002 y[1] (analytic) = 0.49572818804521 y[1] (numeric) = 0.4957281880452098 absolute error = 1.665334536937735e-16 relative error = 3.359370270035678e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.924 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.4427 Order of pole (six term test) = -7.37e-12 TOP MAIN SOLVE Loop x[1] = 0.3500000000000002 y[1] (analytic) = 0.5020832049125448 y[1] (numeric) = 0.5020832049125447 absolute error = 1.110223024625157e-16 relative error = 2.211233145746312e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.934 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3600000000000002 y[1] (analytic) = 0.508430917071264 y[1] (numeric) = 0.5084309170712638 absolute error = 2.220446049250313e-16 relative error = 4.367252215976247e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.945 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3700000000000002 y[1] (analytic) = 0.5147714028566103 y[1] (numeric) = 0.51477140285661 absolute error = 2.220446049250313e-16 relative error = 4.313460376641822e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.955 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3800000000000002 y[1] (analytic) = 0.521104739350451 y[1] (numeric) = 0.5211047393504507 absolute error = 3.33066907387547e-16 relative error = 6.391553985916723e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.965 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3900000000000002 y[1] (analytic) = 0.5274310024078742 y[1] (numeric) = 0.527431002407874 absolute error = 2.220446049250313e-16 relative error = 4.209927059868188e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.976 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4000000000000002 y[1] (analytic) = 0.5337502666830852 y[1] (numeric) = 0.5337502666830849 absolute error = 3.33066907387547e-16 relative error = 6.240126294593607e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.986 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4100000000000003 y[1] (analytic) = 0.5400626056546211 y[1] (numeric) = 0.5400626056546208 absolute error = 2.220446049250313e-16 relative error = 4.111460460327307e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.997 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4200000000000003 y[1] (analytic) = 0.5463680916499091 y[1] (numeric) = 0.5463680916499087 absolute error = 3.33066907387547e-16 relative error = 6.096016814996638e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.007 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.092 Order of pole (six term test) = -1.75e-11 TOP MAIN SOLVE Loop x[1] = 0.4300000000000003 y[1] (analytic) = 0.552666795869185 y[1] (numeric) = 0.5526667958691848 absolute error = 2.220446049250313e-16 relative error = 4.017693962884442e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.018 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4400000000000003 y[1] (analytic) = 0.5589587884087958 y[1] (numeric) = 0.5589587884087954 absolute error = 3.33066907387547e-16 relative error = 5.958702399790478e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.028 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4500000000000003 y[1] (analytic) = 0.5652441382839003 y[1] (numeric) = 0.5652441382839001 absolute error = 2.220446049250313e-16 relative error = 3.928295578600178e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.039 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4600000000000003 y[1] (analytic) = 0.571522913450593 y[1] (numeric) = 0.5715229134505927 absolute error = 3.33066907387547e-16 relative error = 5.827708733087215e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.049 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4700000000000003 y[1] (analytic) = 0.5777951808274608 y[1] (numeric) = 0.5777951808274605 absolute error = 3.33066907387547e-16 relative error = 5.764445922005816e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.06 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4800000000000003 y[1] (analytic) = 0.5840610063165975 y[1] (numeric) = 0.5840610063165972 absolute error = 3.33066907387547e-16 relative error = 5.702604758500243e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.07 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4900000000000003 y[1] (analytic) = 0.5903204548240868 y[1] (numeric) = 0.5903204548240865 absolute error = 3.33066907387547e-16 relative error = 5.642137328390554e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.08 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 6.098 Order of pole (six term test) = -1.957e-10 TOP MAIN SOLVE Loop x[1] = 0.5000000000000003 y[1] (analytic) = 0.5965735902799729 y[1] (numeric) = 0.5965735902799725 absolute error = 4.440892098500626e-16 relative error = 7.443997137748771e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.091 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5100000000000003 y[1] (analytic) = 0.6028204756577327 y[1] (numeric) = 0.6028204756577322 absolute error = 4.440892098500626e-16 relative error = 7.366856763873529e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.101 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5200000000000004 y[1] (analytic) = 0.6090611729932649 y[1] (numeric) = 0.6090611729932645 absolute error = 4.440892098500626e-16 relative error = 7.291372846303132e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.112 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.939 Order of pole (six term test) = -8.059e-12 TOP MAIN SOLVE Loop x[1] = 0.5300000000000004 y[1] (analytic) = 0.6152957434034105 y[1] (numeric) = 0.6152957434034101 absolute error = 4.440892098500626e-16 relative error = 7.217491988383567e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.122 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5400000000000004 y[1] (analytic) = 0.6215242471040179 y[1] (numeric) = 0.6215242471040173 absolute error = 5.551115123125783e-16 relative error = 8.931453839477885e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.133 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5500000000000004 y[1] (analytic) = 0.6277467434275658 y[1] (numeric) = 0.6277467434275653 absolute error = 4.440892098500626e-16 relative error = 7.07433713515242e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.143 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5600000000000004 y[1] (analytic) = 0.633963290840359 y[1] (numeric) = 0.6339632908403585 absolute error = 4.440892098500626e-16 relative error = 7.004967263347281e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.154 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5700000000000004 y[1] (analytic) = 0.640173946959306 y[1] (numeric) = 0.6401739469593055 absolute error = 4.440892098500626e-16 relative error = 6.937008479638927e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.164 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5800000000000004 y[1] (analytic) = 0.6463787685682932 y[1] (numeric) = 0.6463787685682928 absolute error = 4.440892098500626e-16 relative error = 6.870417647437661e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.175 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5900000000000004 y[1] (analytic) = 0.6525778116341665 y[1] (numeric) = 0.6525778116341661 absolute error = 4.440892098500626e-16 relative error = 6.805153376851524e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.185 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6000000000000004 y[1] (analytic) = 0.6587711313223309 y[1] (numeric) = 0.6587711313223304 absolute error = 4.440892098500626e-16 relative error = 6.741175937061118e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.195 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6100000000000004 y[1] (analytic) = 0.6649587820119803 y[1] (numeric) = 0.6649587820119799 absolute error = 4.440892098500626e-16 relative error = 6.678447173919144e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.206 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6200000000000004 y[1] (analytic) = 0.6711408173109669 y[1] (numeric) = 0.6711408173109664 absolute error = 4.440892098500626e-16 relative error = 6.616930432414722e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.216 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6300000000000004 y[1] (analytic) = 0.67731729007032 y[1] (numeric) = 0.6773172900703196 absolute error = 4.440892098500626e-16 relative error = 6.55659048367061e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.227 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6400000000000005 y[1] (analytic) = 0.6834882523984267 y[1] (numeric) = 0.6834882523984261 absolute error = 5.551115123125783e-16 relative error = 8.121741820208878e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.237 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6500000000000005 y[1] (analytic) = 0.6896537556748794 y[1] (numeric) = 0.689653755674879 absolute error = 4.440892098500626e-16 relative error = 6.439306770909803e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.248 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6600000000000005 y[1] (analytic) = 0.695813850564005 y[1] (numeric) = 0.6958138505640045 absolute error = 5.551115123125783e-16 relative error = 7.977873850349805e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.258 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6700000000000005 y[1] (analytic) = 0.7019685870280786 y[1] (numeric) = 0.7019685870280781 absolute error = 5.551115123125783e-16 relative error = 7.907925262906015e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.269 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 3.284 Order of pole (six term test) = -7.457e-11 TOP MAIN SOLVE Loop x[1] = 0.6800000000000005 y[1] (analytic) = 0.708118014340236 y[1] (numeric) = 0.7081180143402355 absolute error = 5.551115123125783e-16 relative error = 7.839251382833182e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.279 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6900000000000005 y[1] (analytic) = 0.7142621810970889 y[1] (numeric) = 0.7142621810970884 absolute error = 5.551115123125783e-16 relative error = 7.771817226273142e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.29 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7000000000000005 y[1] (analytic) = 0.7204011352310542 y[1] (numeric) = 0.7204011352310535 absolute error = 6.661338147750939e-16 relative error = 9.246706899780841e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.3 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7100000000000005 y[1] (analytic) = 0.7265349240224019 y[1] (numeric) = 0.7265349240224014 absolute error = 5.551115123125783e-16 relative error = 7.640534459640952e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.31 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7200000000000005 y[1] (analytic) = 0.7326635941110337 y[1] (numeric) = 0.732663594111033 absolute error = 6.661338147750939e-16 relative error = 9.091946428474277e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.321 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7300000000000005 y[1] (analytic) = 0.7387871915079935 y[1] (numeric) = 0.7387871915079928 absolute error = 7.771561172376096e-16 relative error = 1.051935017513363e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.331 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7400000000000005 y[1] (analytic) = 0.7449057616067238 y[1] (numeric) = 0.7449057616067231 absolute error = 7.771561172376096e-16 relative error = 1.043294544482141e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.342 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7500000000000006 y[1] (analytic) = 0.7510193491940689 y[1] (numeric) = 0.7510193491940681 absolute error = 7.771561172376096e-16 relative error = 1.034801723912424e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.352 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7600000000000006 y[1] (analytic) = 0.7571279984610353 y[1] (numeric) = 0.7571279984610345 absolute error = 7.771561172376096e-16 relative error = 1.026452751473046e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.363 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7700000000000006 y[1] (analytic) = 0.7632317530133145 y[1] (numeric) = 0.7632317530133137 absolute error = 7.771561172376096e-16 relative error = 1.018243952992417e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.373 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7800000000000006 y[1] (analytic) = 0.769330655881574 y[1] (numeric) = 0.7693306558815732 absolute error = 7.771561172376096e-16 relative error = 1.010171778930437e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.384 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7900000000000006 y[1] (analytic) = 0.7754247495315237 y[1] (numeric) = 0.775424749531523 absolute error = 7.771561172376096e-16 relative error = 1.002232799129937e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.394 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8000000000000006 y[1] (analytic) = 0.7815140758737628 y[1] (numeric) = 0.7815140758737619 absolute error = 8.881784197001252e-16 relative error = 1.136484226092931e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.405 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.769 Order of pole (six term test) = -6.618e-11 TOP MAIN SOLVE Loop x[1] = 0.8100000000000006 y[1] (analytic) = 0.7875986762734122 y[1] (numeric) = 0.7875986762734114 absolute error = 7.771561172376096e-16 relative error = 9.867412689350718e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.415 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8200000000000006 y[1] (analytic) = 0.7936785915595413 y[1] (numeric) = 0.7936785915595405 absolute error = 8.881784197001252e-16 relative error = 1.119065613140574e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.425 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8300000000000006 y[1] (analytic) = 0.799753862034389 y[1] (numeric) = 0.7997538620343881 absolute error = 8.881784197001252e-16 relative error = 1.110564714799632e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.436 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.517 Order of pole (six term test) = 8.883e-12 TOP MAIN SOLVE Loop x[1] = 0.8400000000000006 y[1] (analytic) = 0.8058245274823892 y[1] (numeric) = 0.8058245274823883 absolute error = 8.881784197001252e-16 relative error = 1.10219829430488e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.446 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8500000000000006 y[1] (analytic) = 0.8118906271790036 y[1] (numeric) = 0.8118906271790027 absolute error = 8.881784197001252e-16 relative error = 1.093963139821174e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.457 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8600000000000007 y[1] (analytic) = 0.8179521998993664 y[1] (numeric) = 0.8179521998993655 absolute error = 8.881784197001252e-16 relative error = 1.085856141482838e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.467 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8700000000000007 y[1] (analytic) = 0.8240092839267467 y[1] (numeric) = 0.8240092839267458 absolute error = 8.881784197001252e-16 relative error = 1.077874287371601e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.478 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8800000000000007 y[1] (analytic) = 0.8300619170608325 y[1] (numeric) = 0.8300619170608317 absolute error = 8.881784197001252e-16 relative error = 1.070014659683554e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.488 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.4651 Order of pole (six term test) = 5.075e-12 TOP MAIN SOLVE Loop x[1] = 0.8900000000000007 y[1] (analytic) = 0.8361101366258415 y[1] (numeric) = 0.8361101366258407 absolute error = 8.881784197001252e-16 relative error = 1.062274431074843e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.499 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9000000000000007 y[1] (analytic) = 0.8421539794784617 y[1] (numeric) = 0.8421539794784608 absolute error = 8.881784197001252e-16 relative error = 1.05465086117644e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.509 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9100000000000007 y[1] (analytic) = 0.8481934820156276 y[1] (numeric) = 0.8481934820156267 absolute error = 8.881784197001252e-16 relative error = 1.047141293268935e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.52 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9200000000000007 y[1] (analytic) = 0.8542286801821355 y[1] (numeric) = 0.8542286801821346 absolute error = 8.881784197001252e-16 relative error = 1.039743151108847e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.53 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9300000000000007 y[1] (analytic) = 0.860259609478101 y[1] (numeric) = 0.8602596094781001 absolute error = 8.881784197001252e-16 relative error = 1.032453935898446e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.54 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9400000000000007 y[1] (analytic) = 0.8662863049662644 y[1] (numeric) = 0.8662863049662635 absolute error = 8.881784197001252e-16 relative error = 1.025271223391571e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.551 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9500000000000007 y[1] (analytic) = 0.8723088012791457 y[1] (numeric) = 0.8723088012791448 absolute error = 8.881784197001252e-16 relative error = 1.018192661128385e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.561 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.941 Order of pole (six term test) = -1.335e-10 TOP MAIN SOLVE Loop x[1] = 0.9600000000000007 y[1] (analytic) = 0.8783271326260547 y[1] (numeric) = 0.8783271326260538 absolute error = 8.881784197001252e-16 relative error = 1.0112159657924e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.572 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9700000000000008 y[1] (analytic) = 0.8843413327999582 y[1] (numeric) = 0.8843413327999574 absolute error = 7.771561172376096e-16 relative error = 8.787965555980698e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.582 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 3.587 Order of pole (six term test) = -3.195e-11 TOP MAIN SOLVE Loop x[1] = 0.9800000000000008 y[1] (analytic) = 0.8903514351842094 y[1] (numeric) = 0.8903514351842087 absolute error = 7.771561172376096e-16 relative error = 8.728644516384923e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.593 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9900000000000008 y[1] (analytic) = 0.8963574727591408 y[1] (numeric) = 0.89635747275914 absolute error = 7.771561172376096e-16 relative error = 8.670158289029386e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.603 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.000000000000001 y[1] (analytic) = 0.9023594781085256 y[1] (numeric) = 0.9023594781085247 absolute error = 8.881784197001252e-16 relative error = 9.842844689367858e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.614 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.010000000000001 y[1] (analytic) = 0.9083574834259098 y[1] (numeric) = 0.9083574834259091 absolute error = 7.771561172376096e-16 relative error = 8.555619691781824e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.624 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.020000000000001 y[1] (analytic) = 0.9143515205208197 y[1] (numeric) = 0.9143515205208189 absolute error = 7.771561172376096e-16 relative error = 8.499533273537263e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.635 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.912 Order of pole (six term test) = -7.385e-12 TOP MAIN SOLVE Loop x[1] = 1.030000000000001 y[1] (analytic) = 0.9203416208248439 y[1] (numeric) = 0.9203416208248432 absolute error = 7.771561172376096e-16 relative error = 8.444213536068202e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.645 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.736 Order of pole (six term test) = -4.757e-11 TOP MAIN SOLVE Loop x[1] = 1.040000000000001 y[1] (analytic) = 0.9263278153975981 y[1] (numeric) = 0.9263278153975972 absolute error = 8.881784197001252e-16 relative error = 9.588165279468604e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.655 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.791 Order of pole (six term test) = -2.123e-11 TOP MAIN SOLVE Loop x[1] = 1.050000000000001 y[1] (analytic) = 0.9323101349325704 y[1] (numeric) = 0.9323101349325696 absolute error = 7.771561172376096e-16 relative error = 8.335811101032573e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.666 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.060000000000001 y[1] (analytic) = 0.9382886097628546 y[1] (numeric) = 0.9382886097628538 absolute error = 7.771561172376096e-16 relative error = 8.282697979612371e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.676 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.070000000000001 y[1] (analytic) = 0.9442632698667689 y[1] (numeric) = 0.9442632698667681 absolute error = 7.771561172376096e-16 relative error = 8.230290661917441e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.687 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.080000000000001 y[1] (analytic) = 0.9502341448733683 y[1] (numeric) = 0.9502341448733675 absolute error = 7.771561172376096e-16 relative error = 8.178574948400494e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.697 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.090000000000001 y[1] (analytic) = 0.9562012640678483 y[1] (numeric) = 0.9562012640678477 absolute error = 6.661338147750939e-16 relative error = 6.966460302941281e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.708 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.100000000000001 y[1] (analytic) = 0.9621646563968459 y[1] (numeric) = 0.9621646563968451 absolute error = 7.771561172376096e-16 relative error = 8.077163425935183e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.718 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.110000000000001 y[1] (analytic) = 0.9681243504736373 y[1] (numeric) = 0.9681243504736365 absolute error = 7.771561172376096e-16 relative error = 8.027441070533967e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.729 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.120000000000001 y[1] (analytic) = 0.9740803745832382 y[1] (numeric) = 0.9740803745832374 absolute error = 7.771561172376096e-16 relative error = 7.97835720250618e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.739 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.130000000000001 y[1] (analytic) = 0.9800327566874051 y[1] (numeric) = 0.9800327566874043 absolute error = 7.771561172376096e-16 relative error = 7.929899403204276e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.75 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.140000000000001 y[1] (analytic) = 0.985981524429543 y[1] (numeric) = 0.9859815244295422 absolute error = 7.771561172376096e-16 relative error = 7.882055575912002e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.76 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.150000000000001 y[1] (analytic) = 0.9919267051395195 y[1] (numeric) = 0.9919267051395187 absolute error = 7.771561172376096e-16 relative error = 7.834813935454017e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.77 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.160000000000001 y[1] (analytic) = 0.9978683258383888 y[1] (numeric) = 0.9978683258383879 absolute error = 8.881784197001252e-16 relative error = 8.900757712235185e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.781 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.170000000000001 y[1] (analytic) = 1.003806413243026 y[1] (numeric) = 1.003806413243026 absolute error = 8.881784197001252e-16 relative error = 8.848104654269557e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.791 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.180000000000001 y[1] (analytic) = 1.009740993770678 y[1] (numeric) = 1.009740993770677 absolute error = 6.661338147750939e-16 relative error = 6.597076070840196e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.802 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.190000000000001 y[1] (analytic) = 1.015672093543424 y[1] (numeric) = 1.015672093543423 absolute error = 8.881784197001252e-16 relative error = 8.744735878303938e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.812 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.043 Order of pole (six term test) = -1.691e-11 TOP MAIN SOLVE Loop x[1] = 1.200000000000001 y[1] (analytic) = 1.021599738392558 y[1] (numeric) = 1.021599738392557 absolute error = 8.881784197001252e-16 relative error = 8.693996154478612e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.823 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.210000000000001 y[1] (analytic) = 1.027523953862889 y[1] (numeric) = 1.027523953862888 absolute error = 8.881784197001252e-16 relative error = 8.643870698693628e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.833 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.220000000000001 y[1] (analytic) = 1.033444765216963 y[1] (numeric) = 1.033444765216962 absolute error = 8.881784197001252e-16 relative error = 8.594348237988891e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.844 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.230000000000001 y[1] (analytic) = 1.039362197439204 y[1] (numeric) = 1.039362197439203 absolute error = 8.881784197001252e-16 relative error = 8.545417775328297e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.854 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.240000000000001 y[1] (analytic) = 1.045276275239982 y[1] (numeric) = 1.045276275239981 absolute error = 8.881784197001252e-16 relative error = 8.497068581186454e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.865 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.250000000000001 y[1] (analytic) = 1.051187023059607 y[1] (numeric) = 1.051187023059606 absolute error = 8.881784197001252e-16 relative error = 8.449290185441737e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.875 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.260000000000001 y[1] (analytic) = 1.057094465072252 y[1] (numeric) = 1.05709446507225 absolute error = 1.110223024625157e-15 relative error = 1.05025904619534e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.885 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.270000000000001 y[1] (analytic) = 1.062998625189799 y[1] (numeric) = 1.062998625189798 absolute error = 1.110223024625157e-15 relative error = 1.044425644884466e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.896 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.280000000000001 y[1] (analytic) = 1.068899527065623 y[1] (numeric) = 1.068899527065622 absolute error = 1.110223024625157e-15 relative error = 1.038659852037708e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.906 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.290000000000001 y[1] (analytic) = 1.074797194098305 y[1] (numeric) = 1.074797194098305 absolute error = 8.881784197001252e-16 relative error = 8.263683833351064e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.917 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.300000000000001 y[1] (analytic) = 1.080691649435277 y[1] (numeric) = 1.080691649435276 absolute error = 8.881784197001252e-16 relative error = 8.218610925366634e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.927 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.6183 Order of pole (six term test) = -5.973e-12 TOP MAIN SOLVE Loop x[1] = 1.310000000000001 y[1] (analytic) = 1.0865829159764 y[1] (numeric) = 1.0865829159764 absolute error = 8.881784197001252e-16 relative error = 8.174051024003175e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.938 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.320000000000001 y[1] (analytic) = 1.092471016377492 y[1] (numeric) = 1.092471016377492 absolute error = 8.881784197001252e-16 relative error = 8.129995271135175e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.948 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.330000000000001 y[1] (analytic) = 1.098355973053774 y[1] (numeric) = 1.098355973053773 absolute error = 8.881784197001252e-16 relative error = 8.086435012782888e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.959 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.64 Order of pole (six term test) = -7.838e-12 TOP MAIN SOLVE Loop x[1] = 1.340000000000001 y[1] (analytic) = 1.104237808183266 y[1] (numeric) = 1.104237808183265 absolute error = 8.881784197001252e-16 relative error = 8.043361793248055e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.969 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.350000000000001 y[1] (analytic) = 1.110116543710127 y[1] (numeric) = 1.110116543710126 absolute error = 1.110223024625157e-15 relative error = 1.000095918681361e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.98 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.360000000000001 y[1] (analytic) = 1.115992201347927 y[1] (numeric) = 1.115992201347926 absolute error = 1.110223024625157e-15 relative error = 9.948304506825383e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.99 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.370000000000001 y[1] (analytic) = 1.121864802582869 y[1] (numeric) = 1.121864802582868 absolute error = 8.881784197001252e-16 relative error = 7.91698266720974e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.168 Order of pole (six term test) = -2.51e-11 TOP MAIN SOLVE Loop x[1] = 1.380000000000001 y[1] (analytic) = 1.127734368676951 y[1] (numeric) = 1.12773436867695 absolute error = 8.881784197001252e-16 relative error = 7.875776817391222e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.011 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 3.057 Order of pole (six term test) = -3.026e-11 TOP MAIN SOLVE Loop x[1] = 1.390000000000001 y[1] (analytic) = 1.133600920671072 y[1] (numeric) = 1.133600920671071 absolute error = 1.110223024625157e-15 relative error = 9.793773138150979e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.021 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.400000000000001 y[1] (analytic) = 1.139464479388094 y[1] (numeric) = 1.139464479388093 absolute error = 8.881784197001252e-16 relative error = 7.794700368168455e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.032 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.410000000000001 y[1] (analytic) = 1.145325065435837 y[1] (numeric) = 1.145325065435836 absolute error = 8.881784197001252e-16 relative error = 7.754815174346521e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.042 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.420000000000001 y[1] (analytic) = 1.151182699210034 y[1] (numeric) = 1.151182699210034 absolute error = 8.881784197001252e-16 relative error = 7.715355871049936e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.053 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.430000000000001 y[1] (analytic) = 1.157037400897231 y[1] (numeric) = 1.15703740089723 absolute error = 8.881784197001252e-16 relative error = 7.67631555394305e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.063 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.440000000000001 y[1] (analytic) = 1.162889190477635 y[1] (numeric) = 1.162889190477634 absolute error = 1.110223024625157e-15 relative error = 9.547109335233855e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.074 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.450000000000001 y[1] (analytic) = 1.168738087727919 y[1] (numeric) = 1.168738087727918 absolute error = 8.881784197001252e-16 relative error = 7.599465004403041e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.084 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.051 Order of pole (six term test) = 3.143e-12 TOP MAIN SOLVE Loop x[1] = 1.460000000000001 y[1] (analytic) = 1.174584112223979 y[1] (numeric) = 1.174584112223978 absolute error = 1.110223024625157e-15 relative error = 9.45205211845612e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.095 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.470000000000001 y[1] (analytic) = 1.180427283343639 y[1] (numeric) = 1.180427283343638 absolute error = 1.110223024625157e-15 relative error = 9.405264011522808e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.105 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.480000000000001 y[1] (analytic) = 1.186267620269315 y[1] (numeric) = 1.186267620269314 absolute error = 8.881784197001252e-16 relative error = 7.487167351819688e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.115 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.490000000000001 y[1] (analytic) = 1.192105141990636 y[1] (numeric) = 1.192105141990635 absolute error = 8.881784197001252e-16 relative error = 7.450504057192484e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.126 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.375 Order of pole (six term test) = -5.768e-12 TOP MAIN SOLVE Loop x[1] = 1.500000000000001 y[1] (analytic) = 1.197939867307014 y[1] (numeric) = 1.197939867307013 absolute error = 8.881784197001252e-16 relative error = 7.414215387094202e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.136 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.510000000000001 y[1] (analytic) = 1.203771814830183 y[1] (numeric) = 1.203771814830182 absolute error = 8.881784197001252e-16 relative error = 7.378295527092245e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.147 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.520000000000001 y[1] (analytic) = 1.209601002986681 y[1] (numeric) = 1.209601002986681 absolute error = 8.881784197001252e-16 relative error = 7.342738783343293e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.157 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.530000000000001 y[1] (analytic) = 1.215427450020306 y[1] (numeric) = 1.215427450020305 absolute error = 8.881784197001252e-16 relative error = 7.307539579472935e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.168 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.540000000000001 y[1] (analytic) = 1.22125117399452 y[1] (numeric) = 1.221251173994519 absolute error = 8.881784197001252e-16 relative error = 7.272692453551827e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.178 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.550000000000001 y[1] (analytic) = 1.227072192794817 y[1] (numeric) = 1.227072192794816 absolute error = 1.110223024625157e-15 relative error = 9.04774006895616e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.189 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.560000000000001 y[1] (analytic) = 1.232890524131059 y[1] (numeric) = 1.232890524131058 absolute error = 1.110223024625157e-15 relative error = 9.00504142821311e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.199 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.570000000000001 y[1] (analytic) = 1.238706185539763 y[1] (numeric) = 1.238706185539763 absolute error = 8.881784197001252e-16 relative error = 7.170210579945587e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.21 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.580000000000001 y[1] (analytic) = 1.244519194386358 y[1] (numeric) = 1.244519194386357 absolute error = 8.881784197001252e-16 relative error = 7.136719334715158e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.22 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.590000000000001 y[1] (analytic) = 1.2503295678674 y[1] (numeric) = 1.2503295678674 absolute error = 6.661338147750939e-16 relative error = 5.327665856221186e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.23 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.600000000000001 y[1] (analytic) = 1.256137323012762 y[1] (numeric) = 1.256137323012761 absolute error = 6.661338147750939e-16 relative error = 5.303033375183981e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.241 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.610000000000001 y[1] (analytic) = 1.261942476687773 y[1] (numeric) = 1.261942476687772 absolute error = 6.661338147750939e-16 relative error = 5.278638504375405e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.251 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.338 Order of pole (six term test) = 1.404e-11 TOP MAIN SOLVE Loop x[1] = 1.620000000000001 y[1] (analytic) = 1.267745045595335 y[1] (numeric) = 1.267745045595334 absolute error = 6.661338147750939e-16 relative error = 5.25447776025247e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.262 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.630000000000001 y[1] (analytic) = 1.273545046278002 y[1] (numeric) = 1.273545046278002 absolute error = 6.661338147750939e-16 relative error = 5.230547727557046e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.272 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.640000000000001 y[1] (analytic) = 1.279342495120028 y[1] (numeric) = 1.279342495120027 absolute error = 8.881784197001252e-16 relative error = 6.94246007686e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.283 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.650000000000001 y[1] (analytic) = 1.285137408349373 y[1] (numeric) = 1.285137408349372 absolute error = 8.881784197001252e-16 relative error = 6.911155289152306e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.293 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 7.395 Order of pole (six term test) = -8.169e-11 TOP MAIN SOLVE Loop x[1] = 1.660000000000001 y[1] (analytic) = 1.290929802039692 y[1] (numeric) = 1.290929802039691 absolute error = 8.881784197001252e-16 relative error = 6.880144979973252e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.304 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.670000000000001 y[1] (analytic) = 1.296719692112284 y[1] (numeric) = 1.296719692112283 absolute error = 8.881784197001252e-16 relative error = 6.849424938194097e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.314 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.680000000000001 y[1] (analytic) = 1.302507094338008 y[1] (numeric) = 1.302507094338007 absolute error = 8.881784197001252e-16 relative error = 6.81899103322379e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.325 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.690000000000001 y[1] (analytic) = 1.308292024339175 y[1] (numeric) = 1.308292024339174 absolute error = 8.881784197001252e-16 relative error = 6.788839213085843e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.335 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.700000000000001 y[1] (analytic) = 1.314074497591407 y[1] (numeric) = 1.314074497591406 absolute error = 8.881784197001252e-16 relative error = 6.758965502550157e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.345 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.710000000000001 y[1] (analytic) = 1.319854529425468 y[1] (numeric) = 1.319854529425467 absolute error = 8.881784197001252e-16 relative error = 6.729366001317954e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.356 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.720000000000001 y[1] (analytic) = 1.325632135029066 y[1] (numeric) = 1.325632135029065 absolute error = 8.881784197001252e-16 relative error = 6.700036882258068e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.366 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.730000000000001 y[1] (analytic) = 1.331407329448628 y[1] (numeric) = 1.331407329448627 absolute error = 8.881784197001252e-16 relative error = 6.670974389692926e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.377 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.740000000000001 y[1] (analytic) = 1.337180127591047 y[1] (numeric) = 1.337180127591046 absolute error = 8.881784197001252e-16 relative error = 6.642174837732551e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.387 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.750000000000001 y[1] (analytic) = 1.342950544225399 y[1] (numeric) = 1.342950544225398 absolute error = 8.881784197001252e-16 relative error = 6.613634608655066e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.398 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.760000000000001 y[1] (analytic) = 1.348718593984641 y[1] (numeric) = 1.34871859398464 absolute error = 8.881784197001252e-16 relative error = 6.585350151332158e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.408 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.770000000000001 y[1] (analytic) = 1.354484291367278 y[1] (numeric) = 1.354484291367277 absolute error = 8.881784197001252e-16 relative error = 6.557317979698073e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.419 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.780000000000001 y[1] (analytic) = 1.360247650739 y[1] (numeric) = 1.360247650738999 absolute error = 8.881784197001252e-16 relative error = 6.529534671260725e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.429 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.790000000000001 y[1] (analytic) = 1.366008686334307 y[1] (numeric) = 1.366008686334306 absolute error = 8.881784197001252e-16 relative error = 6.501996865653597e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.44 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.800000000000001 y[1] (analytic) = 1.371767412258096 y[1] (numeric) = 1.371767412258095 absolute error = 8.881784197001252e-16 relative error = 6.474701263227091e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.45 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.810000000000001 y[1] (analytic) = 1.37752384248723 y[1] (numeric) = 1.377523842487229 absolute error = 8.881784197001252e-16 relative error = 6.447644623678148e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.46 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.820000000000001 y[1] (analytic) = 1.383277990872086 y[1] (numeric) = 1.383277990872086 absolute error = 8.881784197001252e-16 relative error = 6.420823764716837e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.471 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.830000000000001 y[1] (analytic) = 1.389029871138075 y[1] (numeric) = 1.389029871138074 absolute error = 8.881784197001252e-16 relative error = 6.394235560768849e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.481 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.840000000000001 y[1] (analytic) = 1.394779496887139 y[1] (numeric) = 1.394779496887139 absolute error = 8.881784197001252e-16 relative error = 6.367876941712698e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.492 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.850000000000001 y[1] (analytic) = 1.400526881599231 y[1] (numeric) = 1.40052688159923 absolute error = 8.881784197001252e-16 relative error = 6.34174489165059e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.502 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.860000000000001 y[1] (analytic) = 1.406272038633765 y[1] (numeric) = 1.406272038633764 absolute error = 8.881784197001252e-16 relative error = 6.3158364477119e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.513 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.085 Order of pole (six term test) = -2.189e-10 TOP MAIN SOLVE Loop x[1] = 1.870000000000001 y[1] (analytic) = 1.412014981231055 y[1] (numeric) = 1.412014981231054 absolute error = 8.881784197001252e-16 relative error = 6.290148698888262e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.523 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.880000000000001 y[1] (analytic) = 1.417755722513719 y[1] (numeric) = 1.417755722513718 absolute error = 8.881784197001252e-16 relative error = 6.264678784899285e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.534 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 7.06 Order of pole (six term test) = -5.355e-11 TOP MAIN SOLVE Loop x[1] = 1.890000000000001 y[1] (analytic) = 1.423494275488077 y[1] (numeric) = 1.423494275488076 absolute error = 8.881784197001252e-16 relative error = 6.239423895087975e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.544 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.900000000000001 y[1] (analytic) = 1.429230653045516 y[1] (numeric) = 1.429230653045515 absolute error = 8.881784197001252e-16 relative error = 6.214381267344955e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.555 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.910000000000001 y[1] (analytic) = 1.434964867963844 y[1] (numeric) = 1.434964867963843 absolute error = 8.881784197001252e-16 relative error = 6.189548187060593e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.565 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.920000000000001 y[1] (analytic) = 1.440696932908616 y[1] (numeric) = 1.440696932908615 absolute error = 8.881784197001252e-16 relative error = 6.164921986104227e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.575 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.930000000000001 y[1] (analytic) = 1.446426860434449 y[1] (numeric) = 1.446426860434449 absolute error = 6.661338147750939e-16 relative error = 4.605375031372231e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.586 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.940000000000002 y[1] (analytic) = 1.452154662986314 y[1] (numeric) = 1.452154662986313 absolute error = 8.881784197001252e-16 relative error = 6.116279776106024e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.596 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.950000000000002 y[1] (analytic) = 1.457880352900804 y[1] (numeric) = 1.457880352900804 absolute error = 6.661338147750939e-16 relative error = 4.569193990780246e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.607 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.960000000000002 y[1] (analytic) = 1.463603942407395 y[1] (numeric) = 1.463603942407395 absolute error = 8.881784197001252e-16 relative error = 6.068434184723589e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.617 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 7.661 Order of pole (six term test) = -3.083e-11 TOP MAIN SOLVE Loop x[1] = 1.970000000000002 y[1] (analytic) = 1.469325443629679 y[1] (numeric) = 1.469325443629678 absolute error = 8.881784197001252e-16 relative error = 6.044803917000547e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.628 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.980000000000002 y[1] (analytic) = 1.475044868586583 y[1] (numeric) = 1.475044868586582 absolute error = 8.881784197001252e-16 relative error = 6.021365441928525e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.638 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.990000000000002 y[1] (analytic) = 1.480762229193571 y[1] (numeric) = 1.48076222919357 absolute error = 8.881784197001252e-16 relative error = 5.998116390258216e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.649 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 5.37 Order of pole (six term test) = -8.797e-11 TOP MAIN SOLVE Loop x[1] = 2.000000000000001 y[1] (analytic) = 1.486477537263829 y[1] (numeric) = 1.486477537263828 absolute error = 6.661338147750939e-16 relative error = 4.481290823951849e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.659 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.010000000000001 y[1] (analytic) = 1.492190804509431 y[1] (numeric) = 1.49219080450943 absolute error = 6.661338147750939e-16 relative error = 4.464132956469267e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.67 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.020000000000001 y[1] (analytic) = 1.497902042542488 y[1] (numeric) = 1.497902042542488 absolute error = 6.661338147750939e-16 relative error = 4.447111999690053e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.68 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.030000000000001 y[1] (analytic) = 1.503611262876288 y[1] (numeric) = 1.503611262876287 absolute error = 6.661338147750939e-16 relative error = 4.43022629067591e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.69 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.04 y[1] (analytic) = 1.509318476926407 y[1] (numeric) = 1.509318476926407 absolute error = 6.661338147750939e-16 relative error = 4.413474193542082e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.701 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.439 Order of pole (six term test) = -4.529e-11 TOP MAIN SOLVE Loop x[1] = 2.05 y[1] (analytic) = 1.515023696011818 y[1] (numeric) = 1.515023696011817 absolute error = 4.440892098500626e-16 relative error = 2.931236065938065e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.711 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 8.527 Order of pole (six term test) = -1.807e-10 TOP MAIN SOLVE Loop x[1] = 2.06 y[1] (analytic) = 1.520726931355971 y[1] (numeric) = 1.520726931355971 absolute error = 2.220446049250313e-16 relative error = 1.460121474451979e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.722 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.07 y[1] (analytic) = 1.526428194087873 y[1] (numeric) = 1.526428194087873 absolute error = 2.220446049250313e-16 relative error = 1.454667869638738e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.732 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 5.922 Order of pole (six term test) = -4.805e-11 TOP MAIN SOLVE Loop x[1] = 2.08 y[1] (analytic) = 1.532127495243138 y[1] (numeric) = 1.532127495243138 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.743 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.089999999999999 y[1] (analytic) = 1.537824845765033 y[1] (numeric) = 1.537824845765033 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.753 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.099999999999999 y[1] (analytic) = 1.543520256505502 y[1] (numeric) = 1.543520256505502 absolute error = 2.220446049250313e-16 relative error = 1.438559707844299e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.764 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.109999999999999 y[1] (analytic) = 1.549213738226183 y[1] (numeric) = 1.549213738226183 absolute error = 2.220446049250313e-16 relative error = 1.43327288834443e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.774 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.119999999999999 y[1] (analytic) = 1.554905301599406 y[1] (numeric) = 1.554905301599406 absolute error = 4.440892098500626e-16 relative error = 2.856053094637106e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.785 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.129999999999999 y[1] (analytic) = 1.560594957209175 y[1] (numeric) = 1.560594957209176 absolute error = 6.661338147750939e-16 relative error = 4.268460638667874e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.795 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.139999999999998 y[1] (analytic) = 1.566282715552148 y[1] (numeric) = 1.566282715552148 absolute error = 6.661338147750939e-16 relative error = 4.252960261648982e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.805 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.149999999999998 y[1] (analytic) = 1.571968587038585 y[1] (numeric) = 1.571968587038586 absolute error = 6.661338147750939e-16 relative error = 4.237577139057316e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.816 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.159999999999998 y[1] (analytic) = 1.577652581993304 y[1] (numeric) = 1.577652581993305 absolute error = 8.881784197001252e-16 relative error = 5.629746560411581e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.826 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.169999999999998 y[1] (analytic) = 1.583334710656605 y[1] (numeric) = 1.583334710656606 absolute error = 1.110223024625157e-15 relative error = 7.011928792774019e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.837 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.179999999999997 y[1] (analytic) = 1.589014983185195 y[1] (numeric) = 1.589014983185196 absolute error = 1.332267629550188e-15 relative error = 8.384235791657833e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.847 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.189999999999997 y[1] (analytic) = 1.594693409653094 y[1] (numeric) = 1.594693409653095 absolute error = 1.332267629550188e-15 relative error = 8.354380983113277e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.858 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.199999999999997 y[1] (analytic) = 1.600370000052529 y[1] (numeric) = 1.600370000052531 absolute error = 1.554312234475219e-15 relative error = 9.712205517625309e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.868 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.209999999999997 y[1] (analytic) = 1.606044764294821 y[1] (numeric) = 1.606044764294822 absolute error = 1.554312234475219e-15 relative error = 9.677888618239629e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.879 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.219999999999997 y[1] (analytic) = 1.611717712211248 y[1] (numeric) = 1.61171771221125 absolute error = 1.77635683940025e-15 relative error = 1.102151341976084e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.889 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.229999999999996 y[1] (analytic) = 1.617388853553915 y[1] (numeric) = 1.617388853553917 absolute error = 1.998401444325282e-15 relative error = 1.235572657703286e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.9 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.239999999999996 y[1] (analytic) = 1.623058197996594 y[1] (numeric) = 1.623058197996597 absolute error = 2.220446049250313e-15 relative error = 1.368063111964253e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.91 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.546 Order of pole (six term test) = -6.415e-12 TOP MAIN SOLVE Loop x[1] = 2.249999999999996 y[1] (analytic) = 1.628725755135564 y[1] (numeric) = 1.628725755135566 absolute error = 2.442490654175344e-15 relative error = 1.499632854993472e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.92 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.259999999999996 y[1] (analytic) = 1.634391534490435 y[1] (numeric) = 1.634391534490437 absolute error = 2.442490654175344e-15 relative error = 1.494434229884124e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.931 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 20.87 Order of pole (six term test) = -6.03e-10 TOP MAIN SOLVE Loop x[1] = 2.269999999999996 y[1] (analytic) = 1.640055545504964 y[1] (numeric) = 1.640055545504966 absolute error = 2.442490654175344e-15 relative error = 1.489273129114243e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.941 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.279999999999995 y[1] (analytic) = 1.645717797547858 y[1] (numeric) = 1.64571779754786 absolute error = 2.442490654175344e-15 relative error = 1.484149140159199e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.952 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 5.301 Order of pole (six term test) = -2.628e-11 TOP MAIN SOLVE Loop x[1] = 2.289999999999995 y[1] (analytic) = 1.651378299913567 y[1] (numeric) = 1.65137829991357 absolute error = 2.664535259100376e-15 relative error = 1.613522025352905e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.962 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.375 Order of pole (six term test) = -1.212e-11 TOP MAIN SOLVE Loop x[1] = 2.299999999999995 y[1] (analytic) = 1.657037061823069 y[1] (numeric) = 1.657037061823071 absolute error = 2.664535259100376e-15 relative error = 1.608011866776751e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.973 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.309999999999995 y[1] (analytic) = 1.662694092424636 y[1] (numeric) = 1.662694092424639 absolute error = 2.664535259100376e-15 relative error = 1.602540883040486e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.983 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.319999999999995 y[1] (analytic) = 1.668349400794604 y[1] (numeric) = 1.668349400794607 absolute error = 2.886579864025407e-15 relative error = 1.730201037414933e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.994 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.329999999999994 y[1] (analytic) = 1.674002995938122 y[1] (numeric) = 1.674002995938125 absolute error = 3.108624468950438e-15 relative error = 1.857000540915009e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.004 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.339999999999994 y[1] (analytic) = 1.679654886789892 y[1] (numeric) = 1.679654886789895 absolute error = 3.108624468950438e-15 relative error = 1.850751897546973e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.015 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 5.821 Order of pole (six term test) = -5.255e-11 TOP MAIN SOLVE Loop x[1] = 2.349999999999994 y[1] (analytic) = 1.685305082214906 y[1] (numeric) = 1.685305082214909 absolute error = 3.33066907387547e-15 relative error = 1.976300379690394e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.025 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.359999999999994 y[1] (analytic) = 1.690953591009168 y[1] (numeric) = 1.690953591009171 absolute error = 3.552713678800501e-15 relative error = 2.101011936513425e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.035 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.369999999999993 y[1] (analytic) = 1.696600421900405 y[1] (numeric) = 1.696600421900409 absolute error = 3.552713678800501e-15 relative error = 2.094019094266767e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.046 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.379999999999993 y[1] (analytic) = 1.702245583548778 y[1] (numeric) = 1.702245583548782 absolute error = 3.552713678800501e-15 relative error = 2.087074693061583e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.056 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.389999999999993 y[1] (analytic) = 1.707889084547571 y[1] (numeric) = 1.707889084547575 absolute error = 3.552713678800501e-15 relative error = 2.080178221726637e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.067 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 7.044 Order of pole (six term test) = -7.13e-11 TOP MAIN SOLVE Loop x[1] = 2.399999999999993 y[1] (analytic) = 1.713530933423882 y[1] (numeric) = 1.713530933423886 absolute error = 3.774758283725532e-15 relative error = 2.202912249843672e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.077 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.409999999999993 y[1] (analytic) = 1.719171138639301 y[1] (numeric) = 1.719171138639305 absolute error = 3.996802888650564e-15 relative error = 2.324842942520531e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.088 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.419999999999992 y[1] (analytic) = 1.724809708590575 y[1] (numeric) = 1.724809708590579 absolute error = 3.996802888650564e-15 relative error = 2.317242805826124e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.098 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.429999999999992 y[1] (analytic) = 1.730446651610274 y[1] (numeric) = 1.730446651610279 absolute error = 4.218847493575595e-15 relative error = 2.438010723791877e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.109 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.439999999999992 y[1] (analytic) = 1.736081975967442 y[1] (numeric) = 1.736081975967447 absolute error = 4.218847493575595e-15 relative error = 2.430096937804228e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.119 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 11.61 Order of pole (six term test) = -9.013e-12 TOP MAIN SOLVE Loop x[1] = 2.449999999999992 y[1] (analytic) = 1.741715689868239 y[1] (numeric) = 1.741715689868244 absolute error = 4.218847493575595e-15 relative error = 2.42223660159756e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.13 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.459999999999992 y[1] (analytic) = 1.747347801456579 y[1] (numeric) = 1.747347801456583 absolute error = 4.440892098500626e-15 relative error = 2.541504384415469e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.14 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.469999999999991 y[1] (analytic) = 1.752978318814756 y[1] (numeric) = 1.752978318814761 absolute error = 4.440892098500626e-15 relative error = 2.533341143376635e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.15 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.479999999999991 y[1] (analytic) = 1.758607249964068 y[1] (numeric) = 1.758607249964073 absolute error = 4.662936703425657e-15 relative error = 2.651494074939661e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.161 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.489999999999991 y[1] (analytic) = 1.764234602865424 y[1] (numeric) = 1.764234602865429 absolute error = 4.662936703425657e-15 relative error = 2.643036643682329e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.171 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.499999999999991 y[1] (analytic) = 1.769860385419954 y[1] (numeric) = 1.769860385419959 absolute error = 4.884981308350689e-15 relative error = 2.760094156913726e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.182 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.50999999999999 y[1] (analytic) = 1.775484605469601 y[1] (numeric) = 1.775484605469605 absolute error = 4.884981308350689e-15 relative error = 2.751350979502666e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.192 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.51999999999999 y[1] (analytic) = 1.781107270797713 y[1] (numeric) = 1.781107270797718 absolute error = 5.10702591327572e-15 relative error = 2.867332022617824e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.203 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.52999999999999 y[1] (analytic) = 1.786728389129629 y[1] (numeric) = 1.786728389129634 absolute error = 5.329070518200751e-15 relative error = 2.98258568600721e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.213 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 6.258 Order of pole (six term test) = -3.289e-11 TOP MAIN SOLVE Loop x[1] = 2.53999999999999 y[1] (analytic) = 1.792347968133245 y[1] (numeric) = 1.792347968133251 absolute error = 5.551115123125783e-15 relative error = 3.097119098423363e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.224 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.54999999999999 y[1] (analytic) = 1.797966015419592 y[1] (numeric) = 1.797966015419598 absolute error = 5.551115123125783e-15 relative error = 3.08744162877312e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.234 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 8.52 Order of pole (six term test) = -1.222e-10 TOP MAIN SOLVE Loop x[1] = 2.559999999999989 y[1] (analytic) = 1.803582538543391 y[1] (numeric) = 1.803582538543396 absolute error = 5.551115123125783e-15 relative error = 3.077827049495042e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.245 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.569999999999989 y[1] (analytic) = 1.809197545003606 y[1] (numeric) = 1.809197545003612 absolute error = 5.773159728050814e-15 relative error = 3.191005727370311e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.255 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 17.52 Order of pole (six term test) = -1.491e-10 TOP MAIN SOLVE Loop x[1] = 2.579999999999989 y[1] (analytic) = 1.814811042243998 y[1] (numeric) = 1.814811042244004 absolute error = 5.773159728050814e-15 relative error = 3.181135442570568e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.265 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.589999999999989 y[1] (analytic) = 1.820423037653658 y[1] (numeric) = 1.820423037653664 absolute error = 5.995204332975845e-15 relative error = 3.293302825206531e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.276 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.599999999999989 y[1] (analytic) = 1.826033538567545 y[1] (numeric) = 1.826033538567552 absolute error = 6.217248937900877e-15 relative error = 3.404783541258543e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.286 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.609999999999988 y[1] (analytic) = 1.831642552267016 y[1] (numeric) = 1.831642552267022 absolute error = 6.217248937900877e-15 relative error = 3.394357119627853e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.297 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 8.433 Order of pole (six term test) = -1.05e-10 TOP MAIN SOLVE Loop x[1] = 2.619999999999988 y[1] (analytic) = 1.837250085980338 y[1] (numeric) = 1.837250085980345 absolute error = 6.439293542825908e-15 relative error = 3.50485412517478e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.307 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.629999999999988 y[1] (analytic) = 1.842856146883215 y[1] (numeric) = 1.842856146883221 absolute error = 6.439293542825908e-15 relative error = 3.494192182996244e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.318 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.639999999999988 y[1] (analytic) = 1.848460742099285 y[1] (numeric) = 1.848460742099292 absolute error = 6.661338147750939e-15 relative error = 3.603721732378097e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.328 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 10.3 Order of pole (six term test) = -1.25e-10 TOP MAIN SOLVE Loop x[1] = 2.649999999999987 y[1] (analytic) = 1.854063878700631 y[1] (numeric) = 1.854063878700638 absolute error = 6.661338147750939e-15 relative error = 3.592830982942914e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.339 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.659999999999987 y[1] (analytic) = 1.859665563708272 y[1] (numeric) = 1.859665563708279 absolute error = 6.883382752675971e-15 relative error = 3.701408945246122e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.349 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.669999999999987 y[1] (analytic) = 1.865265804092657 y[1] (numeric) = 1.865265804092664 absolute error = 6.883382752675971e-15 relative error = 3.690295901834932e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.36 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.679999999999987 y[1] (analytic) = 1.870864606774145 y[1] (numeric) = 1.870864606774152 absolute error = 7.105427357601002e-15 relative error = 3.797937772660416e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.37 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 3.331 Order of pole (six term test) = -2.312e-11 TOP MAIN SOLVE Loop x[1] = 2.689999999999987 y[1] (analytic) = 1.87646197862349 y[1] (numeric) = 1.876461978623498 absolute error = 7.327471962526033e-15 relative error = 3.904940279099724e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.38 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.676 Order of pole (six term test) = -3.743e-11 TOP MAIN SOLVE Loop x[1] = 2.699999999999986 y[1] (analytic) = 1.882057926462309 y[1] (numeric) = 1.882057926462317 absolute error = 7.327471962526033e-15 relative error = 3.893329668284668e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.391 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.709999999999986 y[1] (analytic) = 1.887652457063551 y[1] (numeric) = 1.887652457063559 absolute error = 7.549516567451064e-15 relative error = 3.999420835758697e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.401 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.905 Order of pole (six term test) = -2.686e-11 TOP MAIN SOLVE Loop x[1] = 2.719999999999986 y[1] (analytic) = 1.893245577151959 y[1] (numeric) = 1.893245577151966 absolute error = 7.771561172376096e-15 relative error = 4.104888064266331e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.412 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.729999999999986 y[1] (analytic) = 1.898837293404525 y[1] (numeric) = 1.898837293404533 absolute error = 7.771561172376096e-15 relative error = 4.092799946246082e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.422 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.739999999999986 y[1] (analytic) = 1.904427612450945 y[1] (numeric) = 1.904427612450953 absolute error = 7.771561172376096e-15 relative error = 4.080785807539471e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.433 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.633 Order of pole (six term test) = -1.382e-11 TOP MAIN SOLVE Loop x[1] = 2.749999999999985 y[1] (analytic) = 1.910016540874059 y[1] (numeric) = 1.910016540874067 absolute error = 7.993605777301127e-15 relative error = 4.185097671271005e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.443 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.759999999999985 y[1] (analytic) = 1.915604085210298 y[1] (numeric) = 1.915604085210306 absolute error = 7.993605777301127e-15 relative error = 4.172890337318099e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.454 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 7.271 Order of pole (six term test) = -6.046e-11 TOP MAIN SOLVE Loop x[1] = 2.769999999999985 y[1] (analytic) = 1.921190251950111 y[1] (numeric) = 1.921190251950119 absolute error = 8.215650382226158e-15 relative error = 4.276333577003544e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.464 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.779999999999985 y[1] (analytic) = 1.926775047538404 y[1] (numeric) = 1.926775047538412 absolute error = 8.215650382226158e-15 relative error = 4.26393853954163e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.475 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.789999999999984 y[1] (analytic) = 1.932358478374959 y[1] (numeric) = 1.932358478374967 absolute error = 8.43769498715119e-15 relative error = 4.366526750381728e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.485 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.799999999999984 y[1] (analytic) = 1.937940550814857 y[1] (numeric) = 1.937940550814865 absolute error = 8.43769498715119e-15 relative error = 4.353949342565408e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.495 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.809999999999984 y[1] (analytic) = 1.943521271168892 y[1] (numeric) = 1.9435212711689 absolute error = 8.659739592076221e-15 relative error = 4.455695813850288e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.506 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.819999999999984 y[1] (analytic) = 1.949100645703982 y[1] (numeric) = 1.949100645703991 absolute error = 8.881784197001252e-15 relative error = 4.556862785191527e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.516 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.829999999999984 y[1] (analytic) = 1.954678680643577 y[1] (numeric) = 1.954678680643586 absolute error = 9.103828801926284e-15 relative error = 4.65745541304459e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.527 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.839999999999983 y[1] (analytic) = 1.960255382168056 y[1] (numeric) = 1.960255382168065 absolute error = 9.103828801926284e-15 relative error = 4.64420548707148e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.537 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.849999999999983 y[1] (analytic) = 1.965830756415125 y[1] (numeric) = 1.965830756415134 absolute error = 9.325873406851315e-15 relative error = 4.743985908460355e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.548 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 3.962 Order of pole (six term test) = -1.591e-11 TOP MAIN SOLVE Loop x[1] = 2.859999999999983 y[1] (analytic) = 1.971404809480213 y[1] (numeric) = 1.971404809480222 absolute error = 9.547918011776346e-15 relative error = 4.84320519350553e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.558 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.869999999999983 y[1] (analytic) = 1.976977547416851 y[1] (numeric) = 1.976977547416861 absolute error = 9.769962616701378e-15 relative error = 4.941868272336708e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.569 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.879999999999983 y[1] (analytic) = 1.982548976237065 y[1] (numeric) = 1.982548976237075 absolute error = 9.769962616701378e-15 relative error = 4.927980460409632e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.579 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.889999999999982 y[1] (analytic) = 1.988119101911747 y[1] (numeric) = 1.988119101911757 absolute error = 9.992007221626409e-15 relative error = 5.025859472914997e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.59 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.899999999999982 y[1] (analytic) = 1.99368793037103 y[1] (numeric) = 1.99368793037104 absolute error = 1.021405182655144e-14 relative error = 5.123194894724863e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.6 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 27.93 Order of pole (six term test) = -2.067e-10 TOP MAIN SOLVE Loop x[1] = 2.909999999999982 y[1] (analytic) = 1.999255467504665 y[1] (numeric) = 1.999255467504675 absolute error = 1.021405182655144e-14 relative error = 5.108927794655441e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.61 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 3.154 Order of pole (six term test) = -6.062e-12 TOP MAIN SOLVE Loop x[1] = 2.919999999999982 y[1] (analytic) = 2.004821719162378 y[1] (numeric) = 2.004821719162388 absolute error = 1.021405182655144e-14 relative error = 5.094743202811525e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.621 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.929999999999982 y[1] (analytic) = 2.010386691154237 y[1] (numeric) = 2.010386691154248 absolute error = 1.06581410364015e-14 relative error = 5.301537800313566e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.631 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.939999999999981 y[1] (analytic) = 2.015950389251009 y[1] (numeric) = 2.01595038925102 absolute error = 1.06581410364015e-14 relative error = 5.286906410609314e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.642 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.949999999999981 y[1] (analytic) = 2.021512819184513 y[1] (numeric) = 2.021512819184524 absolute error = 1.06581410364015e-14 relative error = 5.272358866713021e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.652 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.959999999999981 y[1] (analytic) = 2.027073986647969 y[1] (numeric) = 2.02707398664798 absolute error = 1.110223024625157e-14 relative error = 5.476973371164686e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.663 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.969999999999981 y[1] (analytic) = 2.032633897296345 y[1] (numeric) = 2.032633897296356 absolute error = 1.110223024625157e-14 relative error = 5.461992078858326e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.673 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.97999999999998 y[1] (analytic) = 2.038192556746699 y[1] (numeric) = 2.03819255674671 absolute error = 1.110223024625157e-14 relative error = 5.447095864177135e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.684 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.98999999999998 y[1] (analytic) = 2.043749970578516 y[1] (numeric) = 2.043749970578527 absolute error = 1.110223024625157e-14 relative error = 5.432283990741246e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.694 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.99999999999998 y[1] (analytic) = 2.049306144334044 y[1] (numeric) = 2.049306144334055 absolute error = 1.110223024625157e-14 relative error = 5.417555730727299e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.705 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.00999999999998 y[1] (analytic) = 2.054861083518622 y[1] (numeric) = 2.054861083518633 absolute error = 1.110223024625157e-14 relative error = 5.402910364743862e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.715 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 18.27 Order of pole (six term test) = -4.69e-10 TOP MAIN SOLVE Loop x[1] = 3.01999999999998 y[1] (analytic) = 2.06041479360101 y[1] (numeric) = 2.060414793601022 absolute error = 1.154631945610163e-14 relative error = 5.603881068977377e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.725 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.029999999999979 y[1] (analytic) = 2.065967280013711 y[1] (numeric) = 2.065967280013722 absolute error = 1.154631945610163e-14 relative error = 5.588820097879286e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.736 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 5.269 Order of pole (six term test) = -2.602e-11 TOP MAIN SOLVE Loop x[1] = 3.039999999999979 y[1] (analytic) = 2.071518548153289 y[1] (numeric) = 2.071518548153301 absolute error = 1.199040866595169e-14 relative error = 5.788221725864277e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.746 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.049999999999979 y[1] (analytic) = 2.07706860338069 y[1] (numeric) = 2.077068603380702 absolute error = 1.199040866595169e-14 relative error = 5.772755240937058e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.757 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.059999999999979 y[1] (analytic) = 2.082617451021548 y[1] (numeric) = 2.08261745102156 absolute error = 1.243449787580175e-14 relative error = 5.970610622561761e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.767 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 16.15 Order of pole (six term test) = -1.826e-10 TOP MAIN SOLVE Loop x[1] = 3.069999999999979 y[1] (analytic) = 2.088165096366503 y[1] (numeric) = 2.088165096366515 absolute error = 1.243449787580175e-14 relative error = 5.954748452331817e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.778 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.079999999999978 y[1] (analytic) = 2.093711544671498 y[1] (numeric) = 2.09371154467151 absolute error = 1.287858708565182e-14 relative error = 6.151079941469425e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.788 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.089999999999978 y[1] (analytic) = 2.099256801158087 y[1] (numeric) = 2.0992568011581 absolute error = 1.287858708565182e-14 relative error = 6.134831659731741e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.799 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.099999999999978 y[1] (analytic) = 2.104800871013736 y[1] (numeric) = 2.104800871013749 absolute error = 1.287858708565182e-14 relative error = 6.118672442134203e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.809 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.109999999999978 y[1] (analytic) = 2.110343759392113 y[1] (numeric) = 2.110343759392126 absolute error = 1.287858708565182e-14 relative error = 6.102601544575614e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.82 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.119999999999977 y[1] (analytic) = 2.115885471413386 y[1] (numeric) = 2.115885471413399 absolute error = 1.287858708565182e-14 relative error = 6.086618231302036e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.83 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.129999999999977 y[1] (analytic) = 2.121426012164509 y[1] (numeric) = 2.121426012164522 absolute error = 1.287858708565182e-14 relative error = 6.070721774789441e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.84 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.139999999999977 y[1] (analytic) = 2.126965386699514 y[1] (numeric) = 2.126965386699528 absolute error = 1.332267629550188e-14 relative error = 6.263701505822403e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.851 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.149999999999977 y[1] (analytic) = 2.13250360003979 y[1] (numeric) = 2.132503600039803 absolute error = 1.332267629550188e-14 relative error = 6.247434374907172e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.861 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.159999999999977 y[1] (analytic) = 2.138040657174362 y[1] (numeric) = 2.138040657174376 absolute error = 1.332267629550188e-14 relative error = 6.231254887879049e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.872 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.169999999999976 y[1] (analytic) = 2.143576563060175 y[1] (numeric) = 2.143576563060188 absolute error = 1.332267629550188e-14 relative error = 6.215162325008068e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.882 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.179999999999976 y[1] (analytic) = 2.149111322622362 y[1] (numeric) = 2.149111322622375 absolute error = 1.332267629550188e-14 relative error = 6.199155974500867e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.893 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.189999999999976 y[1] (analytic) = 2.15464494075452 y[1] (numeric) = 2.154644940754534 absolute error = 1.376676550535194e-14 relative error = 6.38934297013737e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.903 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.199999999999976 y[1] (analytic) = 2.160177422318976 y[1] (numeric) = 2.16017742231899 absolute error = 1.376676550535194e-14 relative error = 6.372979072512088e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.914 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.209999999999976 y[1] (analytic) = 2.165708772147054 y[1] (numeric) = 2.165708772147068 absolute error = 1.4210854715202e-14 relative error = 6.561757009052309e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.924 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.219999999999975 y[1] (analytic) = 2.171238995039339 y[1] (numeric) = 2.171238995039353 absolute error = 1.4210854715202e-14 relative error = 6.545043980727018e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.935 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 5.571 Order of pole (six term test) = -3.199e-11 TOP MAIN SOLVE Loop x[1] = 3.229999999999975 y[1] (analytic) = 2.176768095765933 y[1] (numeric) = 2.176768095765947 absolute error = 1.4210854715202e-14 relative error = 6.528419238982677e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.945 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.239999999999975 y[1] (analytic) = 2.182296079066719 y[1] (numeric) = 2.182296079066733 absolute error = 1.4210854715202e-14 relative error = 6.511882072976743e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.955 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.249999999999975 y[1] (analytic) = 2.18782294965161 y[1] (numeric) = 2.187822949651624 absolute error = 1.4210854715202e-14 relative error = 6.495431779552795e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.966 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.259999999999974 y[1] (analytic) = 2.193348712200804 y[1] (numeric) = 2.193348712200819 absolute error = 1.465494392505207e-14 relative error = 6.681538527609368e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.976 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 27.25 Order of pole (six term test) = -6.325e-10 TOP MAIN SOLVE Loop x[1] = 3.269999999999974 y[1] (analytic) = 2.198873371365035 y[1] (numeric) = 2.198873371365049 absolute error = 1.465494392505207e-14 relative error = 6.664751192995917e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.987 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 3.902 Order of pole (six term test) = -1.648e-11 TOP MAIN SOLVE Loop x[1] = 3.279999999999974 y[1] (analytic) = 2.204396931765813 y[1] (numeric) = 2.204396931765828 absolute error = 1.509903313490213e-14 relative error = 6.849507417344833e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.997 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.289999999999974 y[1] (analytic) = 2.209919397995678 y[1] (numeric) = 2.209919397995693 absolute error = 1.509903313490213e-14 relative error = 6.832390877511841e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.008 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.299999999999974 y[1] (analytic) = 2.215440774618433 y[1] (numeric) = 2.215440774618449 absolute error = 1.554312234475219e-14 relative error = 7.015814876581024e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.018 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.309999999999973 y[1] (analytic) = 2.220961066169389 y[1] (numeric) = 2.220961066169405 absolute error = 1.554312234475219e-14 relative error = 6.998376775492175e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.029 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 25.66 Order of pole (six term test) = -2.368e-10 TOP MAIN SOLVE Loop x[1] = 3.319999999999973 y[1] (analytic) = 2.226480277155599 y[1] (numeric) = 2.226480277155614 absolute error = 1.554312234475219e-14 relative error = 6.981028533793722e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.039 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.329999999999973 y[1] (analytic) = 2.231998412056092 y[1] (numeric) = 2.231998412056107 absolute error = 1.554312234475219e-14 relative error = 6.963769445711228e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.05 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.339999999999973 y[1] (analytic) = 2.237515475322106 y[1] (numeric) = 2.237515475322122 absolute error = 1.598721155460225e-14 relative error = 7.145073064712896e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.06 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.349999999999973 y[1] (analytic) = 2.243031471377319 y[1] (numeric) = 2.243031471377335 absolute error = 1.598721155460225e-14 relative error = 7.127502114263876e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.07 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.359999999999972 y[1] (analytic) = 2.248546404618072 y[1] (numeric) = 2.248546404618088 absolute error = 1.598721155460225e-14 relative error = 7.110020732401906e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.081 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.221 Order of pole (six term test) = -2.03e-11 TOP MAIN SOLVE Loop x[1] = 3.369999999999972 y[1] (analytic) = 2.254060279413596 y[1] (numeric) = 2.254060279413612 absolute error = 1.598721155460225e-14 relative error = 7.092628223217438e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.091 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.379999999999972 y[1] (analytic) = 2.259573100106235 y[1] (numeric) = 2.259573100106251 absolute error = 1.598721155460225e-14 relative error = 7.075323898063137e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.102 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.389999999999972 y[1] (analytic) = 2.265084871011666 y[1] (numeric) = 2.265084871011682 absolute error = 1.643130076445232e-14 relative error = 7.254165605332716e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.112 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.399999999999971 y[1] (analytic) = 2.270595596419116 y[1] (numeric) = 2.270595596419132 absolute error = 1.643130076445232e-14 relative error = 7.236559777692513e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.123 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.409999999999971 y[1] (analytic) = 2.276105280591578 y[1] (numeric) = 2.276105280591595 absolute error = 1.687538997430238e-14 relative error = 7.414151760992502e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.133 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.419999999999971 y[1] (analytic) = 2.281613927766025 y[1] (numeric) = 2.281613927766041 absolute error = 1.687538997430238e-14 relative error = 7.396251297793147e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.144 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.429999999999971 y[1] (analytic) = 2.28712154215362 y[1] (numeric) = 2.287121542153637 absolute error = 1.687538997430238e-14 relative error = 7.37844039473828e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.154 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 14.38 Order of pole (six term test) = -7.936e-11 TOP MAIN SOLVE Loop x[1] = 3.439999999999971 y[1] (analytic) = 2.292628127939928 y[1] (numeric) = 2.292628127939945 absolute error = 1.687538997430238e-14 relative error = 7.360718368864291e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.165 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.44999999999997 y[1] (analytic) = 2.29813368928512 y[1] (numeric) = 2.298133689285137 absolute error = 1.731947918415244e-14 relative error = 7.536323611155978e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.175 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.45999999999997 y[1] (analytic) = 2.303638230324179 y[1] (numeric) = 2.303638230324196 absolute error = 1.731947918415244e-14 relative error = 7.518315574106078e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.185 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.46999999999997 y[1] (analytic) = 2.309141755167104 y[1] (numeric) = 2.309141755167122 absolute error = 1.731947918415244e-14 relative error = 7.500396693012506e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.196 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.47999999999997 y[1] (analytic) = 2.31464426789911 y[1] (numeric) = 2.314644267899128 absolute error = 1.77635683940025e-14 relative error = 7.674426969344033e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.206 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 3.35 Order of pole (six term test) = -3.406e-11 TOP MAIN SOLVE Loop x[1] = 3.48999999999997 y[1] (analytic) = 2.320145772580827 y[1] (numeric) = 2.320145772580844 absolute error = 1.77635683940025e-14 relative error = 7.656229450722445e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.217 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.499999999999969 y[1] (analytic) = 2.325646273248494 y[1] (numeric) = 2.325646273248513 absolute error = 1.820765760385257e-14 relative error = 7.829074358079341e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.227 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.509999999999969 y[1] (analytic) = 2.331145773914163 y[1] (numeric) = 2.331145773914181 absolute error = 1.820765760385257e-14 relative error = 7.810604470813762e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.238 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.519999999999969 y[1] (analytic) = 2.336644278565879 y[1] (numeric) = 2.336644278565897 absolute error = 1.865174681370263e-14 relative error = 7.982279110601374e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.248 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.363 Order of pole (six term test) = -2.856e-11 TOP MAIN SOLVE Loop x[1] = 3.529999999999969 y[1] (analytic) = 2.342141791167881 y[1] (numeric) = 2.3421417911679 absolute error = 1.865174681370263e-14 relative error = 7.963542977644474e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.259 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.539999999999969 y[1] (analytic) = 2.347638315660789 y[1] (numeric) = 2.347638315660807 absolute error = 1.865174681370263e-14 relative error = 7.944897938187184e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.269 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.299 Order of pole (six term test) = -4.944e-11 TOP MAIN SOLVE Loop x[1] = 3.549999999999968 y[1] (analytic) = 2.353133855961786 y[1] (numeric) = 2.353133855961805 absolute error = 1.909583602355269e-14 relative error = 8.115065777143279e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.28 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.559999999999968 y[1] (analytic) = 2.358628415964812 y[1] (numeric) = 2.358628415964831 absolute error = 1.909583602355269e-14 relative error = 8.096161266564499e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.29 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.569999999999968 y[1] (analytic) = 2.364121999540742 y[1] (numeric) = 2.364121999540761 absolute error = 1.909583602355269e-14 relative error = 8.077347965655868e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.3 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.579999999999968 y[1] (analytic) = 2.369614610537566 y[1] (numeric) = 2.369614610537585 absolute error = 1.909583602355269e-14 relative error = 8.058625203707977e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.311 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.632 Order of pole (six term test) = 4.171e-12 TOP MAIN SOLVE Loop x[1] = 3.589999999999967 y[1] (analytic) = 2.375106252780576 y[1] (numeric) = 2.375106252780595 absolute error = 1.909583602355269e-14 relative error = 8.039992316637153e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.321 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.599999999999967 y[1] (analytic) = 2.380596930072538 y[1] (numeric) = 2.380596930072557 absolute error = 1.909583602355269e-14 relative error = 8.021448646903375e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.332 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.609999999999967 y[1] (analytic) = 2.386086646193871 y[1] (numeric) = 2.386086646193891 absolute error = 1.909583602355269e-14 relative error = 8.002993543429412e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.342 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.619999999999967 y[1] (analytic) = 2.391575404902822 y[1] (numeric) = 2.391575404902841 absolute error = 1.909583602355269e-14 relative error = 7.98462636152115e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.353 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.629999999999967 y[1] (analytic) = 2.397063209935637 y[1] (numeric) = 2.397063209935657 absolute error = 1.953992523340276e-14 relative error = 8.151610334016771e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.363 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.639999999999966 y[1] (analytic) = 2.402550065006736 y[1] (numeric) = 2.402550065006756 absolute error = 1.953992523340276e-14 relative error = 8.132993987514666e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.374 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.649999999999966 y[1] (analytic) = 2.408035973808879 y[1] (numeric) = 2.408035973808898 absolute error = 1.953992523340276e-14 relative error = 8.114465666597056e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.384 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.659999999999966 y[1] (analytic) = 2.413520940013336 y[1] (numeric) = 2.413520940013355 absolute error = 1.909583602355269e-14 relative error = 7.912024174709327e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.395 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.669999999999966 y[1] (analytic) = 2.419004967270052 y[1] (numeric) = 2.419004967270071 absolute error = 1.909583602355269e-14 relative error = 7.894087148197607e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.405 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.679999999999966 y[1] (analytic) = 2.424488059207815 y[1] (numeric) = 2.424488059207835 absolute error = 1.953992523340276e-14 relative error = 8.05940254446429e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.415 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.689999999999965 y[1] (analytic) = 2.429970219434417 y[1] (numeric) = 2.429970219434436 absolute error = 1.953992523340276e-14 relative error = 8.0412200434089e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.426 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.699999999999965 y[1] (analytic) = 2.435451451536812 y[1] (numeric) = 2.435451451536832 absolute error = 1.998401444325282e-14 relative error = 8.205466149055263e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.436 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 15.45 Order of pole (six term test) = -1.683e-10 TOP MAIN SOLVE Loop x[1] = 3.709999999999965 y[1] (analytic) = 2.440931759081286 y[1] (numeric) = 2.440931759081306 absolute error = 1.998401444325282e-14 relative error = 8.187043479976011e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.447 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.719999999999965 y[1] (analytic) = 2.446411145613604 y[1] (numeric) = 2.446411145613624 absolute error = 1.998401444325282e-14 relative error = 8.168706424953958e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.457 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.411 Order of pole (six term test) = 1.224e-11 TOP MAIN SOLVE Loop x[1] = 3.729999999999964 y[1] (analytic) = 2.451889614659175 y[1] (numeric) = 2.451889614659195 absolute error = 1.998401444325282e-14 relative error = 8.150454377625275e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.468 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.739999999999964 y[1] (analytic) = 2.457367169723204 y[1] (numeric) = 2.457367169723224 absolute error = 1.998401444325282e-14 relative error = 8.132286737396186e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.478 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.749999999999964 y[1] (analytic) = 2.46284381429085 y[1] (numeric) = 2.46284381429087 absolute error = 1.998401444325282e-14 relative error = 8.1142029093741e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.489 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 23.06 Order of pole (six term test) = -3.153e-10 TOP MAIN SOLVE Loop x[1] = 3.759999999999964 y[1] (analytic) = 2.468319551827371 y[1] (numeric) = 2.468319551827391 absolute error = 2.042810365310288e-14 relative error = 8.276117911061938e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.499 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 3.66 Order of pole (six term test) = 1.343e-11 TOP MAIN SOLVE Loop x[1] = 3.769999999999964 y[1] (analytic) = 2.473794385778284 y[1] (numeric) = 2.473794385778305 absolute error = 2.042810365310288e-14 relative error = 8.257801768224145e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.51 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.779999999999963 y[1] (analytic) = 2.479268319569509 y[1] (numeric) = 2.479268319569529 absolute error = 2.042810365310288e-14 relative error = 8.239569510027838e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.52 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 23.35 Order of pole (six term test) = 9.63e-11 TOP MAIN SOLVE Loop x[1] = 3.789999999999963 y[1] (analytic) = 2.484741356607518 y[1] (numeric) = 2.484741356607539 absolute error = 2.042810365310288e-14 relative error = 8.221420550988011e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.53 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.799999999999963 y[1] (analytic) = 2.490213500279485 y[1] (numeric) = 2.490213500279506 absolute error = 2.042810365310288e-14 relative error = 8.203354311110339e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.541 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 6.621 Order of pole (six term test) = -3.131e-11 TOP MAIN SOLVE Loop x[1] = 3.809999999999963 y[1] (analytic) = 2.495684753953428 y[1] (numeric) = 2.495684753953448 absolute error = 2.042810365310288e-14 relative error = 8.185370215826582e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.551 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.819999999999963 y[1] (analytic) = 2.501155120978354 y[1] (numeric) = 2.501155120978375 absolute error = 2.042810365310288e-14 relative error = 8.167467695930912e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.562 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.829999999999962 y[1] (analytic) = 2.506624604684404 y[1] (numeric) = 2.506624604684425 absolute error = 2.087219286295294e-14 relative error = 8.326812408984892e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.572 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.839999999999962 y[1] (analytic) = 2.512093208382991 y[1] (numeric) = 2.512093208383012 absolute error = 2.087219286295294e-14 relative error = 8.308685678262774e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.583 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.296 Order of pole (six term test) = -3.583e-11 TOP MAIN SOLVE Loop x[1] = 3.849999999999962 y[1] (analytic) = 2.517560935366944 y[1] (numeric) = 2.517560935366965 absolute error = 2.087219286295294e-14 relative error = 8.290640583804077e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.593 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.859999999999962 y[1] (analytic) = 2.523027788910643 y[1] (numeric) = 2.523027788910664 absolute error = 2.131628207280301e-14 relative error = 8.448690960319009e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.604 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.869999999999961 y[1] (analytic) = 2.528493772270159 y[1] (numeric) = 2.52849377227018 absolute error = 2.131628207280301e-14 relative error = 8.430426962714881e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.614 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.879999999999961 y[1] (analytic) = 2.533958888683388 y[1] (numeric) = 2.53395888868341 absolute error = 2.131628207280301e-14 relative error = 8.412244637433193e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.625 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.889999999999961 y[1] (analytic) = 2.539423141370191 y[1] (numeric) = 2.539423141370213 absolute error = 2.176037128265307e-14 relative error = 8.569021415986573e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.635 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 13.02 Order of pole (six term test) = -7.776e-11 TOP MAIN SOLVE Loop x[1] = 3.899999999999961 y[1] (analytic) = 2.544886533532522 y[1] (numeric) = 2.544886533532544 absolute error = 2.176037128265307e-14 relative error = 8.550625340630726e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.645 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.909999999999961 y[1] (analytic) = 2.550349068354562 y[1] (numeric) = 2.550349068354584 absolute error = 2.220446049250313e-14 relative error = 8.706439745061658e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.656 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.91999999999996 y[1] (analytic) = 2.555810749002854 y[1] (numeric) = 2.555810749002875 absolute error = 2.176037128265307e-14 relative error = 8.51407769184117e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.666 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.92999999999996 y[1] (analytic) = 2.561271578626426 y[1] (numeric) = 2.561271578626448 absolute error = 2.220446049250313e-14 relative error = 8.669311242820676e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.677 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.93999999999996 y[1] (analytic) = 2.566731560356927 y[1] (numeric) = 2.56673156035695 absolute error = 2.220446049250313e-14 relative error = 8.650869781417812e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.687 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 13.72 Order of pole (six term test) = -5.358e-11 TOP MAIN SOLVE Loop x[1] = 3.94999999999996 y[1] (analytic) = 2.572190697308752 y[1] (numeric) = 2.572190697308775 absolute error = 2.264854970235319e-14 relative error = 8.8051596353451e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.698 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.95999999999996 y[1] (analytic) = 2.577648992579168 y[1] (numeric) = 2.57764899257919 absolute error = 2.264854970235319e-14 relative error = 8.786514287847741e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.708 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.969999999999959 y[1] (analytic) = 2.583106449248437 y[1] (numeric) = 2.583106449248459 absolute error = 2.264854970235319e-14 relative error = 8.767950584825052e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.719 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.979999999999959 y[1] (analytic) = 2.588563070379945 y[1] (numeric) = 2.588563070379968 absolute error = 2.264854970235319e-14 relative error = 8.749467981488616e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.729 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.989999999999959 y[1] (analytic) = 2.594018859020324 y[1] (numeric) = 2.594018859020347 absolute error = 2.264854970235319e-14 relative error = 8.731065937934935e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.74 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.999999999999959 y[1] (analytic) = 2.59947381819957 y[1] (numeric) = 2.599473818199593 absolute error = 2.309263891220326e-14 relative error = 8.883582035151069e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.75 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.009999999999959 y[1] (analytic) = 2.60492795093117 y[1] (numeric) = 2.604927950931192 absolute error = 2.264854970235319e-14 relative error = 8.694501394657436e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.76 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.019999999999959 y[1] (analytic) = 2.610381260212215 y[1] (numeric) = 2.610381260212238 absolute error = 2.309263891220326e-14 relative error = 8.846462110414441e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.771 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 13.42 Order of pole (six term test) = -3.292e-12 TOP MAIN SOLVE Loop x[1] = 4.029999999999959 y[1] (analytic) = 2.615833749023524 y[1] (numeric) = 2.615833749023547 absolute error = 2.309263891220326e-14 relative error = 8.828022392792969e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.781 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.9939 Order of pole (six term test) = -6.298e-12 TOP MAIN SOLVE Loop x[1] = 4.039999999999958 y[1] (analytic) = 2.621285420329762 y[1] (numeric) = 2.621285420329785 absolute error = 2.309263891220326e-14 relative error = 8.809662134884254e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.792 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.641 Order of pole (six term test) = -1.778e-11 TOP MAIN SOLVE Loop x[1] = 4.049999999999958 y[1] (analytic) = 2.626736277079549 y[1] (numeric) = 2.626736277079572 absolute error = 2.309263891220326e-14 relative error = 8.791380814932076e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.802 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.845 Order of pole (six term test) = -6.538e-11 TOP MAIN SOLVE Loop x[1] = 4.059999999999958 y[1] (analytic) = 2.632186322205586 y[1] (numeric) = 2.632186322205609 absolute error = 2.309263891220326e-14 relative error = 8.773177915784189e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.813 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.069999999999958 y[1] (analytic) = 2.637635558624762 y[1] (numeric) = 2.637635558624785 absolute error = 2.309263891220326e-14 relative error = 8.755052924841347e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.823 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.079999999999957 y[1] (analytic) = 2.643083989238268 y[1] (numeric) = 2.643083989238291 absolute error = 2.309263891220326e-14 relative error = 8.737005334007003e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.834 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.089999999999957 y[1] (analytic) = 2.648531616931715 y[1] (numeric) = 2.648531616931738 absolute error = 2.353672812205332e-14 relative error = 8.886708382707651e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.844 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.099999999999957 y[1] (analytic) = 2.653978444575239 y[1] (numeric) = 2.653978444575262 absolute error = 2.353672812205332e-14 relative error = 8.868469964465103e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.855 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 8.539 Order of pole (six term test) = -4.548e-11 TOP MAIN SOLVE Loop x[1] = 4.109999999999957 y[1] (analytic) = 2.659424475023614 y[1] (numeric) = 2.659424475023638 absolute error = 2.353672812205332e-14 relative error = 8.850308908225087e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.865 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.119999999999957 y[1] (analytic) = 2.664869711116363 y[1] (numeric) = 2.664869711116387 absolute error = 2.398081733190338e-14 relative error = 8.998870463298327e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.875 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.129999999999956 y[1] (analytic) = 2.670314155677862 y[1] (numeric) = 2.670314155677886 absolute error = 2.398081733190338e-14 relative error = 8.980522865039384e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.886 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 8.227 Order of pole (six term test) = -3.432e-11 TOP MAIN SOLVE Loop x[1] = 4.139999999999956 y[1] (analytic) = 2.675757811517455 y[1] (numeric) = 2.675757811517478 absolute error = 2.398081733190338e-14 relative error = 8.96225257333868e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.896 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 21.35 Order of pole (six term test) = -2.804e-10 TOP MAIN SOLVE Loop x[1] = 4.149999999999956 y[1] (analytic) = 2.68120068142955 y[1] (numeric) = 2.681200681429574 absolute error = 2.442490654175344e-14 relative error = 9.109689815806957e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.907 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.739 Order of pole (six term test) = -5.458e-12 TOP MAIN SOLVE Loop x[1] = 4.159999999999956 y[1] (analytic) = 2.686642768193735 y[1] (numeric) = 2.68664276819376 absolute error = 2.442490654175344e-14 relative error = 9.091237149542819e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.917 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.169999999999956 y[1] (analytic) = 2.692084074574877 y[1] (numeric) = 2.692084074574902 absolute error = 2.486899575160351e-14 relative error = 9.237822840109744e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.928 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.179999999999955 y[1] (analytic) = 2.697524603323227 y[1] (numeric) = 2.697524603323252 absolute error = 2.486899575160351e-14 relative error = 9.219191447212767e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.938 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.189999999999955 y[1] (analytic) = 2.702964357174522 y[1] (numeric) = 2.702964357174547 absolute error = 2.486899575160351e-14 relative error = 9.200637694534644e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.949 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.199999999999955 y[1] (analytic) = 2.708403338850088 y[1] (numeric) = 2.708403338850113 absolute error = 2.486899575160351e-14 relative error = 9.18216108910949e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.959 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.209999999999955 y[1] (analytic) = 2.713841551056941 y[1] (numeric) = 2.713841551056967 absolute error = 2.531308496145357e-14 relative error = 9.327399734002544e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.97 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.219999999999954 y[1] (analytic) = 2.719278996487888 y[1] (numeric) = 2.719278996487914 absolute error = 2.531308496145357e-14 relative error = 9.308748750733903e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.98 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.399 Order of pole (six term test) = 1.885e-11 TOP MAIN SOLVE Loop x[1] = 4.229999999999954 y[1] (analytic) = 2.724715677821623 y[1] (numeric) = 2.724715677821649 absolute error = 2.531308496145357e-14 relative error = 9.290174812548173e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.99 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 7.642 Order of pole (six term test) = -1.75e-11 TOP MAIN SOLVE Loop x[1] = 4.239999999999954 y[1] (analytic) = 2.73015159772283 y[1] (numeric) = 2.730151597722855 absolute error = 2.531308496145357e-14 relative error = 9.271677434530285e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.001 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.249999999999954 y[1] (analytic) = 2.735586758842276 y[1] (numeric) = 2.735586758842302 absolute error = 2.531308496145357e-14 relative error = 9.253256135866911e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.011 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.259999999999954 y[1] (analytic) = 2.741021163816911 y[1] (numeric) = 2.741021163816937 absolute error = 2.575717417130363e-14 relative error = 9.396926412431051e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.022 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.269999999999953 y[1] (analytic) = 2.746454815269963 y[1] (numeric) = 2.746454815269989 absolute error = 2.575717417130363e-14 relative error = 9.378335309977356e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.032 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.279999999999953 y[1] (analytic) = 2.751887715811032 y[1] (numeric) = 2.751887715811058 absolute error = 2.620126338115369e-14 relative error = 9.521196388433203e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.043 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 5.61 Order of pole (six term test) = -3.392e-11 TOP MAIN SOLVE Loop x[1] = 4.289999999999953 y[1] (analytic) = 2.757319868036187 y[1] (numeric) = 2.757319868036213 absolute error = 2.620126338115369e-14 relative error = 9.502438830143674e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.053 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.299999999999953 y[1] (analytic) = 2.762751274528054 y[1] (numeric) = 2.76275127452808 absolute error = 2.620126338115369e-14 relative error = 9.483757594367416e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.064 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.309999999999953 y[1] (analytic) = 2.768181937855915 y[1] (numeric) = 2.768181937855942 absolute error = 2.664535259100376e-14 relative error = 9.625578516577496e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.074 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.319999999999952 y[1] (analytic) = 2.773611860575797 y[1] (numeric) = 2.773611860575824 absolute error = 2.664535259100376e-14 relative error = 9.606734442458083e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.085 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.058 Order of pole (six term test) = 5.314e-12 TOP MAIN SOLVE Loop x[1] = 4.329999999999952 y[1] (analytic) = 2.779041045230561 y[1] (numeric) = 2.779041045230588 absolute error = 2.708944180085382e-14 relative error = 9.747765995520361e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.095 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.339999999999952 y[1] (analytic) = 2.784469494349994 y[1] (numeric) = 2.784469494350021 absolute error = 2.708944180085382e-14 relative error = 9.728762285175464e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.105 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 11.36 Order of pole (six term test) = -8.97e-11 TOP MAIN SOLVE Loop x[1] = 4.349999999999952 y[1] (analytic) = 2.789897210450901 y[1] (numeric) = 2.789897210450929 absolute error = 2.753353101070388e-14 relative error = 9.869012703250788e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.116 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.359999999999951 y[1] (analytic) = 2.79532419603719 y[1] (numeric) = 2.795324196037218 absolute error = 2.753353101070388e-14 relative error = 9.849852496442799e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.126 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.369999999999951 y[1] (analytic) = 2.800750453599961 y[1] (numeric) = 2.800750453599989 absolute error = 2.797762022055394e-14 relative error = 9.989329889991715e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.137 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.379999999999951 y[1] (analytic) = 2.806175985617594 y[1] (numeric) = 2.806175985617621 absolute error = 2.753353101070388e-14 relative error = 9.81176203909542e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.147 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.389999999999951 y[1] (analytic) = 2.811600794555833 y[1] (numeric) = 2.811600794555861 absolute error = 2.797762022055394e-14 relative error = 9.950779738975622e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.158 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.399999999999951 y[1] (analytic) = 2.817024882867878 y[1] (numeric) = 2.817024882867906 absolute error = 2.797762022055394e-14 relative error = 9.931619841451763e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.168 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 6.717 Order of pole (six term test) = -7.105e-12 TOP MAIN SOLVE Loop x[1] = 4.40999999999995 y[1] (analytic) = 2.822448252994461 y[1] (numeric) = 2.822448252994489 absolute error = 2.797762022055394e-14 relative error = 9.912536107923766e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.179 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.41999999999995 y[1] (analytic) = 2.827870907363938 y[1] (numeric) = 2.827870907363966 absolute error = 2.797762022055394e-14 relative error = 9.893528077147588e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.189 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.42999999999995 y[1] (analytic) = 2.833292848392368 y[1] (numeric) = 2.833292848392396 absolute error = 2.842170943040401e-14 relative error = 1.003133489943714e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.2 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.43999999999995 y[1] (analytic) = 2.838714078483597 y[1] (numeric) = 2.838714078483626 absolute error = 2.842170943040401e-14 relative error = 1.001217757217257e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.21 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.44999999999995 y[1] (analytic) = 2.844134600029343 y[1] (numeric) = 2.844134600029372 absolute error = 2.842170943040401e-14 relative error = 9.993095766322302e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.22 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 10.52 Order of pole (six term test) = -6.064e-12 TOP MAIN SOLVE Loop x[1] = 4.459999999999949 y[1] (analytic) = 2.849554415409274 y[1] (numeric) = 2.849554415409302 absolute error = 2.842170943040401e-14 relative error = 9.974089028344411e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.231 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.469999999999949 y[1] (analytic) = 2.854973526991087 y[1] (numeric) = 2.854973526991115 absolute error = 2.842170943040401e-14 relative error = 9.95515690835782e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.241 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.479999999999949 y[1] (analytic) = 2.860391937130594 y[1] (numeric) = 2.860391937130622 absolute error = 2.842170943040401e-14 relative error = 9.936298960105196e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.252 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.489999999999949 y[1] (analytic) = 2.865809648171798 y[1] (numeric) = 2.865809648171827 absolute error = 2.886579864025407e-14 relative error = 1.007247590874313e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.262 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.499999999999948 y[1] (analytic) = 2.871226662446972 y[1] (numeric) = 2.871226662447001 absolute error = 2.930988785010413e-14 relative error = 1.020814143078662e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.273 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.509999999999948 y[1] (analytic) = 2.876642982276737 y[1] (numeric) = 2.876642982276767 absolute error = 2.930988785010413e-14 relative error = 1.018892091604174e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.283 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.519999999999948 y[1] (analytic) = 2.88205860997014 y[1] (numeric) = 2.88205860997017 absolute error = 2.930988785010413e-14 relative error = 1.016977508670714e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.294 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.529999999999948 y[1] (analytic) = 2.887473547824732 y[1] (numeric) = 2.887473547824761 absolute error = 2.886579864025407e-14 relative error = 9.996904962817761e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.304 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.539999999999948 y[1] (analytic) = 2.892887798126639 y[1] (numeric) = 2.892887798126668 absolute error = 2.886579864025407e-14 relative error = 9.978195026764202e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.315 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 11.64 Order of pole (six term test) = -1.528e-11 TOP MAIN SOLVE Loop x[1] = 4.549999999999947 y[1] (analytic) = 2.898301363150646 y[1] (numeric) = 2.898301363150674 absolute error = 2.886579864025407e-14 relative error = 9.959557348748245e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.325 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.559999999999947 y[1] (analytic) = 2.903714245160264 y[1] (numeric) = 2.903714245160293 absolute error = 2.930988785010413e-14 relative error = 1.00939298345063e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.335 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.569999999999947 y[1] (analytic) = 2.909126446407809 y[1] (numeric) = 2.909126446407839 absolute error = 2.930988785010413e-14 relative error = 1.007515087090697e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.346 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.579999999999947 y[1] (analytic) = 2.914537969134476 y[1] (numeric) = 2.914537969134506 absolute error = 2.97539770599542e-14 relative error = 1.02088143558446e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.356 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.589999999999947 y[1] (analytic) = 2.919948815570409 y[1] (numeric) = 2.919948815570439 absolute error = 2.97539770599542e-14 relative error = 1.018989678904416e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.367 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.599999999999946 y[1] (analytic) = 2.925358987934774 y[1] (numeric) = 2.925358987934803 absolute error = 2.97539770599542e-14 relative error = 1.01710515470649e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.377 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.609999999999946 y[1] (analytic) = 2.930768488435833 y[1] (numeric) = 2.930768488435863 absolute error = 2.97539770599542e-14 relative error = 1.015227820872131e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.388 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.619999999999946 y[1] (analytic) = 2.936177319271016 y[1] (numeric) = 2.936177319271045 absolute error = 2.97539770599542e-14 relative error = 1.013357635612464e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.398 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 15.66 Order of pole (six term test) = -1.649e-10 TOP MAIN SOLVE Loop x[1] = 4.629999999999946 y[1] (analytic) = 2.941585482626987 y[1] (numeric) = 2.941585482627017 absolute error = 2.97539770599542e-14 relative error = 1.011494557465057e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.409 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.639999999999946 y[1] (analytic) = 2.946992980679719 y[1] (numeric) = 2.94699298067975 absolute error = 3.019806626980426e-14 relative error = 1.024707777309979e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.419 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.649999999999945 y[1] (analytic) = 2.952399815594563 y[1] (numeric) = 2.952399815594593 absolute error = 3.019806626980426e-14 relative error = 1.022831193468385e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.43 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 3.342 Order of pole (six term test) = -1.047e-11 TOP MAIN SOLVE Loop x[1] = 4.659999999999945 y[1] (analytic) = 2.957805989526314 y[1] (numeric) = 2.957805989526344 absolute error = 3.019806626980426e-14 relative error = 1.020961698527104e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.44 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 5.087 Order of pole (six term test) = -3.791e-11 TOP MAIN SOLVE Loop x[1] = 4.669999999999945 y[1] (analytic) = 2.963211504619281 y[1] (numeric) = 2.963211504619311 absolute error = 3.019806626980426e-14 relative error = 1.019099251698004e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.45 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.679999999999945 y[1] (analytic) = 2.968616363007356 y[1] (numeric) = 2.968616363007387 absolute error = 3.064215547965432e-14 relative error = 1.032203280339407e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.461 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.689999999999944 y[1] (analytic) = 2.974020566814083 y[1] (numeric) = 2.974020566814113 absolute error = 3.019806626980426e-14 relative error = 1.015395340797993e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.471 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.699999999999944 y[1] (analytic) = 2.979424118152718 y[1] (numeric) = 2.979424118152748 absolute error = 3.064215547965432e-14 relative error = 1.028458999608718e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.482 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.709999999999944 y[1] (analytic) = 2.984827019126303 y[1] (numeric) = 2.984827019126334 absolute error = 3.064215547965432e-14 relative error = 1.026597363374969e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.492 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.719999999999944 y[1] (analytic) = 2.990229271827728 y[1] (numeric) = 2.990229271827759 absolute error = 3.064215547965432e-14 relative error = 1.024742676702005e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.503 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.729999999999944 y[1] (analytic) = 2.995630878339796 y[1] (numeric) = 2.995630878339827 absolute error = 3.108624468950438e-14 relative error = 1.037719463845714e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.513 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.739999999999943 y[1] (analytic) = 3.00103184073529 y[1] (numeric) = 3.001031840735321 absolute error = 3.153033389935445e-14 relative error = 1.050649762237415e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.524 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.749999999999943 y[1] (analytic) = 3.006432161077033 y[1] (numeric) = 3.006432161077065 absolute error = 3.153033389935445e-14 relative error = 1.048762526810481e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.534 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.759999999999943 y[1] (analytic) = 3.011831841417957 y[1] (numeric) = 3.011831841417989 absolute error = 3.153033389935445e-14 relative error = 1.046882281598766e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.545 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.769999999999943 y[1] (analytic) = 3.017230883801163 y[1] (numeric) = 3.017230883801195 absolute error = 3.197442310920451e-14 relative error = 1.059727423607787e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.555 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.779999999999943 y[1] (analytic) = 3.022629290259982 y[1] (numeric) = 3.022629290260014 absolute error = 3.197442310920451e-14 relative error = 1.05783475374363e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.565 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.789999999999942 y[1] (analytic) = 3.028027062818043 y[1] (numeric) = 3.028027062818075 absolute error = 3.197442310920451e-14 relative error = 1.055949053488558e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.576 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.799999999999942 y[1] (analytic) = 3.033424203489327 y[1] (numeric) = 3.033424203489359 absolute error = 3.197442310920451e-14 relative error = 1.054070283754727e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.586 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.809999999999942 y[1] (analytic) = 3.038820714278236 y[1] (numeric) = 3.038820714278267 absolute error = 3.197442310920451e-14 relative error = 1.052198405748952e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.597 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.819999999999942 y[1] (analytic) = 3.044216597179646 y[1] (numeric) = 3.044216597179679 absolute error = 3.241851231905457e-14 relative error = 1.064921344594505e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.607 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.829999999999941 y[1] (analytic) = 3.049611854178976 y[1] (numeric) = 3.049611854179008 absolute error = 3.241851231905457e-14 relative error = 1.063037326361074e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.618 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.839999999999941 y[1] (analytic) = 3.055006487252238 y[1] (numeric) = 3.055006487252271 absolute error = 3.286260152890463e-14 relative error = 1.075696620155534e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.628 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 26.51 Order of pole (six term test) = -3.616e-10 TOP MAIN SOLVE Loop x[1] = 4.849999999999941 y[1] (analytic) = 3.060400498366104 y[1] (numeric) = 3.060400498366138 absolute error = 3.33066907387547e-14 relative error = 1.088311505521469e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.639 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.859999999999941 y[1] (analytic) = 3.065793889477962 y[1] (numeric) = 3.065793889477995 absolute error = 3.33066907387547e-14 relative error = 1.086396931413615e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.649 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 8.481 Order of pole (six term test) = -4.152e-11 TOP MAIN SOLVE Loop x[1] = 4.869999999999941 y[1] (analytic) = 3.071186662535972 y[1] (numeric) = 3.071186662536006 absolute error = 3.33066907387547e-14 relative error = 1.084489300017093e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.66 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.87999999999994 y[1] (analytic) = 3.076578819479129 y[1] (numeric) = 3.076578819479162 absolute error = 3.375077994860476e-14 relative error = 1.09702308729795e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.67 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.88999999999994 y[1] (analytic) = 3.081970362237315 y[1] (numeric) = 3.081970362237349 absolute error = 3.375077994860476e-14 relative error = 1.095103975111034e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.68 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.89999999999994 y[1] (analytic) = 3.087361292731361 y[1] (numeric) = 3.087361292731394 absolute error = 3.375077994860476e-14 relative error = 1.0931917825123e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.691 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 25.5 Order of pole (six term test) = -4.629e-10 TOP MAIN SOLVE Loop x[1] = 4.90999999999994 y[1] (analytic) = 3.092751612873098 y[1] (numeric) = 3.092751612873132 absolute error = 3.419486915845482e-14 relative error = 1.105645504027029e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.701 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 5.332 Order of pole (six term test) = -1.957e-11 TOP MAIN SOLVE Loop x[1] = 4.91999999999994 y[1] (analytic) = 3.098141324565421 y[1] (numeric) = 3.098141324565455 absolute error = 3.419486915845482e-14 relative error = 1.103722057070827e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.712 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.929999999999939 y[1] (analytic) = 3.103530429702336 y[1] (numeric) = 3.10353042970237 absolute error = 3.419486915845482e-14 relative error = 1.101805506116288e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.722 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.939999999999939 y[1] (analytic) = 3.108918930169019 y[1] (numeric) = 3.108918930169053 absolute error = 3.419486915845482e-14 relative error = 1.099895813513406e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.733 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.949999999999939 y[1] (analytic) = 3.114306827841874 y[1] (numeric) = 3.114306827841908 absolute error = 3.419486915845482e-14 relative error = 1.097992941888481e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.743 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.853 Order of pole (six term test) = 7.429e-12 TOP MAIN SOLVE Loop x[1] = 4.959999999999939 y[1] (analytic) = 3.119694124588581 y[1] (numeric) = 3.119694124588615 absolute error = 3.463895836830488e-14 relative error = 1.110331878221331e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.754 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.969999999999938 y[1] (analytic) = 3.125080822268155 y[1] (numeric) = 3.12508082226819 absolute error = 3.463895836830488e-14 relative error = 1.108418000631556e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.764 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.979999999999938 y[1] (analytic) = 3.130466922730999 y[1] (numeric) = 3.130466922731034 absolute error = 3.463895836830488e-14 relative error = 1.106510920680359e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.775 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.989999999999938 y[1] (analytic) = 3.135852427818953 y[1] (numeric) = 3.135852427818987 absolute error = 3.463895836830488e-14 relative error = 1.104610601602734e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.785 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 15.11 Order of pole (six term test) = -9.53e-11 TOP MAIN SOLVE Loop x[1] = 4.999999999999938 y[1] (analytic) = 3.141237339365351 y[1] (numeric) = 3.141237339365385 absolute error = 3.463895836830488e-14 relative error = 1.102717006900958e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.795 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = (0.1 * x + 0.2) / (0.2 * x + 0.3); Iterations = 491 Total Elapsed Time = 0 Seconds Elapsed Time(since restart) = 0 Seconds Time to Timeout = 3 Minutes 0 Seconds Percent Done = 100.4 %