##############ECHO OF PROBLEM################# ##############temp/diff2postode.ode################# diff ( y , x , 3 ) = m1 * diff ( y , x , 1 ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=-1.0; x_end=1.0; array_y_init[0 + 1] = exact_soln_y(x_start); array_y_init[1 + 1] = exact_soln_yp(x_start); array_y_init[2 + 1] = exact_soln_ypp(x_start); glob_look_poles=true; glob_max_iter=1000000000; 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( - cos(x)); } double exact_soln_yp (double x) { return( sin(x)); } double exact_soln_ypp (double x) { return( cos(x)); } /* 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 = 2 estimated_steps = 2000000 step_error = 5e-17 est_needed_step_err = 5e-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 = 1.339731617281422e-183 estimated_step_error = 1.339731617281422e-183 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 = 8.990786949366119e-176 estimated_step_error = 8.990786949366119e-176 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 = 6.033615334409391e-168 estimated_step_error = 6.033615334409391e-168 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 = 4.049091176169244e-160 estimated_step_error = 4.049091176169244e-160 best_h = 1.6e-05 opt_iter = 5 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.717299717605559e-152 estimated_step_error = 2.717299717605559e-152 best_h = 3.2e-05 opt_iter = 6 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.823549813443671e-144 estimated_step_error = 1.823549813443671e-144 best_h = 6.4e-05 opt_iter = 7 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.223764693695409e-136 estimated_step_error = 1.223764693695409e-136 best_h = 0.000128 opt_iter = 8 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 8.212560998512467e-129 estimated_step_error = 8.212560998512467e-129 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 = 5.511376737149902e-121 estimated_step_error = 5.511376737149902e-121 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 = 3.698649626532819e-113 estimated_step_error = 3.698649626532819e-113 best_h = 0.001024 opt_iter = 11 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.482158398851159e-105 estimated_step_error = 2.482158398851159e-105 best_h = 0.002048 opt_iter = 12 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.665797495616984e-97 estimated_step_error = 1.665797495616984e-97 best_h = 0.004096 opt_iter = 13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.117963797193241e-89 estimated_step_error = 1.117963797193241e-89 best_h = 0.008192 opt_iter = 14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 7.503414103329819e-82 estimated_step_error = 7.503414103329819e-82 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 = 5.036645049393608e-74 estimated_step_error = 5.036645049393608e-74 best_h = 0.032768 opt_iter = 16 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.38163078728068e-66 estimated_step_error = 3.38163078728068e-66 best_h = 0.065536 opt_iter = 17 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.271514256975076e-58 estimated_step_error = 2.271514256975076e-58 best_h = 0.131072 opt_iter = 18 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.527256768167752e-50 estimated_step_error = 1.527256768167752e-50 best_h = 0.1 START of Soultion TOP MAIN SOLVE Loop x[1] = -1 y[1] (analytic) = -0.5403023058681398 y[1] (numeric) = -0.5403023058681398 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.437 Order of pole (three term test) = -7.36 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.99 y[1] (analytic) = -0.5486898605815875 y[1] (numeric) = -0.5486898605815876 absolute error = 1.110223024625157e-16 relative error = 2.023407218512054e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4409 Order of pole (three term test) = -7.562 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.98 y[1] (analytic) = -0.5570225467662173 y[1] (numeric) = -0.5570225467662173 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4446 Order of pole (three term test) = -7.766 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.97 y[1] (analytic) = -0.5652995311603544 y[1] (numeric) = -0.5652995311603544 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4481 Order of pole (three term test) = -7.972 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.96 y[1] (analytic) = -0.5735199860724567 y[1] (numeric) = -0.5735199860724567 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4515 Order of pole (three term test) = -8.18 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.95 y[1] (analytic) = -0.5816830894638836 y[1] (numeric) = -0.5816830894638835 absolute error = 1.110223024625157e-16 relative error = 1.908638990431042e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4547 Order of pole (three term test) = -8.389 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9399999999999999 y[1] (analytic) = -0.5897880250310983 y[1] (numeric) = -0.5897880250310982 absolute error = 1.110223024625157e-16 relative error = 1.88241025166053e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 12.42 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4577 Order of pole (three term test) = -8.599 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9299999999999999 y[1] (analytic) = -0.5978339822872983 y[1] (numeric) = -0.5978339822872982 absolute error = 1.110223024625157e-16 relative error = 1.857075806191997e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 12.68 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4605 Order of pole (three term test) = -8.811 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9199999999999999 y[1] (analytic) = -0.6058201566434629 y[1] (numeric) = -0.6058201566434628 absolute error = 1.110223024625157e-16 relative error = 1.832595057213563e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 12.94 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4632 Order of pole (three term test) = -9.024 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9099999999999999 y[1] (analytic) = -0.6137457494888117 y[1] (numeric) = -0.6137457494888114 absolute error = 2.220446049250313e-16 relative error = 3.617859758865492e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 13.22 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4656 Order of pole (three term test) = -9.239 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8999999999999999 y[1] (analytic) = -0.6216099682706645 y[1] (numeric) = -0.6216099682706644 absolute error = 1.110223024625157e-16 relative error = 1.786044435088174e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 13.49 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4679 Order of pole (three term test) = -9.454 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8899999999999999 y[1] (analytic) = -0.629412026573697 y[1] (numeric) = -0.6294120265736968 absolute error = 2.220446049250313e-16 relative error = 3.527810012366079e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 13.77 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.47 Order of pole (three term test) = -9.67 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8799999999999999 y[1] (analytic) = -0.6371511441985803 y[1] (numeric) = -0.6371511441985801 absolute error = 2.220446049250313e-16 relative error = 3.484959682593411e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 14.05 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4719 Order of pole (three term test) = -9.887 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8699999999999999 y[1] (analytic) = -0.6448265472400013 y[1] (numeric) = -0.6448265472400011 absolute error = 2.220446049250313e-16 relative error = 3.443478031036886e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 14.34 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4736 Order of pole (three term test) = -10.11 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8599999999999999 y[1] (analytic) = -0.6524374681640519 y[1] (numeric) = -0.6524374681640518 absolute error = 1.110223024625157e-16 relative error = 1.701654302211223e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 14.64 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4751 Order of pole (three term test) = -10.32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8499999999999999 y[1] (analytic) = -0.6599831458849823 y[1] (numeric) = -0.6599831458849821 absolute error = 2.220446049250313e-16 relative error = 3.364398110913697e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 14.93 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4764 Order of pole (three term test) = -10.54 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8399999999999999 y[1] (analytic) = -0.6674628258413082 y[1] (numeric) = -0.667462825841308 absolute error = 2.220446049250313e-16 relative error = 3.326696204318999e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 15.24 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4776 Order of pole (three term test) = -10.76 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8299999999999998 y[1] (analytic) = -0.6748757600712673 y[1] (numeric) = -0.674875760071267 absolute error = 2.220446049250313e-16 relative error = 3.290155285790429e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 15.55 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4785 Order of pole (three term test) = -10.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8199999999999998 y[1] (analytic) = -0.6822212072876137 y[1] (numeric) = -0.6822212072876135 absolute error = 2.220446049250313e-16 relative error = 3.254730321384172e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 15.86 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4793 Order of pole (three term test) = -11.21 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8099999999999998 y[1] (analytic) = -0.6894984329517472 y[1] (numeric) = -0.689498432951747 absolute error = 2.220446049250313e-16 relative error = 3.220378674023332e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 16.18 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4798 Order of pole (three term test) = -11.43 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7999999999999998 y[1] (analytic) = -0.6967067093471655 y[1] (numeric) = -0.6967067093471654 absolute error = 1.110223024625157e-16 relative error = 1.593529974277796e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 16.51 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4802 Order of pole (three term test) = -11.65 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7899999999999998 y[1] (analytic) = -0.7038453156522362 y[1] (numeric) = -0.7038453156522361 absolute error = 1.110223024625157e-16 relative error = 1.577367924366081e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 16.84 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4804 Order of pole (three term test) = -11.87 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7799999999999998 y[1] (analytic) = -0.7109135380122775 y[1] (numeric) = -0.7109135380122773 absolute error = 2.220446049250313e-16 relative error = 3.123370045053166e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.18 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4804 Order of pole (three term test) = -12.09 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7699999999999998 y[1] (analytic) = -0.7179106696109435 y[1] (numeric) = -0.7179106696109433 absolute error = 2.220446049250313e-16 relative error = 3.092928052530041e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.45 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4801 Order of pole (three term test) = -12.31 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7599999999999998 y[1] (analytic) = -0.7248360107409053 y[1] (numeric) = -0.7248360107409051 absolute error = 2.220446049250313e-16 relative error = 3.06337711750916e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.11 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4797 Order of pole (three term test) = -12.53 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7499999999999998 y[1] (analytic) = -0.731688868873821 y[1] (numeric) = -0.7316888688738208 absolute error = 2.220446049250313e-16 relative error = 3.034686112784404e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 16.77 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4792 Order of pole (three term test) = -12.75 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7399999999999998 y[1] (analytic) = -0.7384685587295881 y[1] (numeric) = -0.7384685587295878 absolute error = 2.220446049250313e-16 relative error = 3.006825440300695e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 16.44 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4784 Order of pole (three term test) = -12.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7299999999999998 y[1] (analytic) = -0.7451744023448705 y[1] (numeric) = -0.7451744023448703 absolute error = 2.220446049250313e-16 relative error = 2.979766940817002e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 16.11 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4774 Order of pole (three term test) = -13.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7199999999999998 y[1] (analytic) = -0.7518057291408952 y[1] (numeric) = -0.7518057291408949 absolute error = 2.220446049250313e-16 relative error = 2.953483809956683e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 15.79 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4762 Order of pole (three term test) = -13.42 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7099999999999997 y[1] (analytic) = -0.7583618759905083 y[1] (numeric) = -0.7583618759905081 absolute error = 2.220446049250313e-16 relative error = 2.927950520126231e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 15.47 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4749 Order of pole (three term test) = -13.64 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6999999999999997 y[1] (analytic) = -0.7648421872844886 y[1] (numeric) = -0.7648421872844884 absolute error = 2.220446049250313e-16 relative error = 2.903142747831197e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 15.16 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4733 Order of pole (three term test) = -13.85 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6899999999999997 y[1] (analytic) = -0.7712460149971068 y[1] (numeric) = -0.7712460149971065 absolute error = 2.220446049250313e-16 relative error = 2.879037305960852e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 14.86 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4716 Order of pole (three term test) = -14.07 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6799999999999997 y[1] (analytic) = -0.7775727187509281 y[1] (numeric) = -0.7775727187509279 absolute error = 2.220446049250313e-16 relative error = 2.855612080651669e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 14.56 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4697 Order of pole (three term test) = -14.29 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6699999999999997 y[1] (analytic) = -0.7838216658808494 y[1] (numeric) = -0.7838216658808492 absolute error = 2.220446049250313e-16 relative error = 2.832845972374344e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 14.26 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4676 Order of pole (three term test) = -14.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6599999999999997 y[1] (analytic) = -0.7899922314973653 y[1] (numeric) = -0.7899922314973651 absolute error = 2.220446049250313e-16 relative error = 2.810718840920296e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 13.97 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4653 Order of pole (three term test) = -14.72 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6499999999999997 y[1] (analytic) = -0.796083798549056 y[1] (numeric) = -0.7960837985490559 absolute error = 1.110223024625157e-16 relative error = 1.394605726995891e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 13.68 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4628 Order of pole (three term test) = -14.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6399999999999997 y[1] (analytic) = -0.8020957578842928 y[1] (numeric) = -0.8020957578842927 absolute error = 1.110223024625157e-16 relative error = 1.384152719562585e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 13.4 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4601 Order of pole (three term test) = -15.15 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6299999999999997 y[1] (analytic) = -0.8080275083121521 y[1] (numeric) = -0.8080275083121519 absolute error = 2.220446049250313e-16 relative error = 2.747983238699993e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 13.12 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4573 Order of pole (three term test) = -15.36 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6199999999999997 y[1] (analytic) = -0.8138784566625341 y[1] (numeric) = -0.8138784566625339 absolute error = 2.220446049250313e-16 relative error = 2.728228067807178e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4542 Order of pole (three term test) = -15.57 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6099999999999997 y[1] (analytic) = -0.8196480178454797 y[1] (numeric) = -0.8196480178454795 absolute error = 2.220446049250313e-16 relative error = 2.709023874768782e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.451 Order of pole (three term test) = -15.78 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5999999999999996 y[1] (analytic) = -0.8253356149096785 y[1] (numeric) = -0.8253356149096782 absolute error = 3.33066907387547e-16 relative error = 4.035532956178033e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4476 Order of pole (three term test) = -15.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5899999999999996 y[1] (analytic) = -0.8309406791001637 y[1] (numeric) = -0.8309406791001634 absolute error = 2.220446049250313e-16 relative error = 2.672207661869272e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.444 Order of pole (three term test) = -16.19 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5799999999999996 y[1] (analytic) = -0.8364626499151872 y[1] (numeric) = -0.8364626499151869 absolute error = 2.220446049250313e-16 relative error = 2.654566882903205e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4403 Order of pole (three term test) = -16.39 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5699999999999996 y[1] (analytic) = -0.8419009751622689 y[1] (numeric) = -0.8419009751622687 absolute error = 2.220446049250313e-16 relative error = 2.637419500342474e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4363 Order of pole (three term test) = -16.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5599999999999996 y[1] (analytic) = -0.8472551110134163 y[1] (numeric) = -0.8472551110134161 absolute error = 2.220446049250313e-16 relative error = 2.620752616758369e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4322 Order of pole (three term test) = -16.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5499999999999996 y[1] (analytic) = -0.8525245220595059 y[1] (numeric) = -0.8525245220595057 absolute error = 2.220446049250313e-16 relative error = 2.604553877096953e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.428 Order of pole (three term test) = -16.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5399999999999996 y[1] (analytic) = -0.8577086813638244 y[1] (numeric) = -0.8577086813638241 absolute error = 3.33066907387547e-16 relative error = 3.883217164806404e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4235 Order of pole (three term test) = -17.19 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5299999999999996 y[1] (analytic) = -0.8628070705147612 y[1] (numeric) = -0.8628070705147609 absolute error = 3.33066907387547e-16 relative error = 3.860270954766692e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4189 Order of pole (three term test) = -17.38 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5199999999999996 y[1] (analytic) = -0.8678191796776501 y[1] (numeric) = -0.8678191796776498 absolute error = 3.33066907387547e-16 relative error = 3.837975873168234e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4141 Order of pole (three term test) = -17.58 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5099999999999996 y[1] (analytic) = -0.8727445076457515 y[1] (numeric) = -0.8727445076457512 absolute error = 3.33066907387547e-16 relative error = 3.816316281221897e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4092 Order of pole (three term test) = -17.77 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4999999999999996 y[1] (analytic) = -0.877582561890373 y[1] (numeric) = -0.8775825618903726 absolute error = 3.33066907387547e-16 relative error = 3.795277183608777e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4041 Order of pole (three term test) = -17.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4899999999999995 y[1] (analytic) = -0.8823328586101217 y[1] (numeric) = -0.8823328586101215 absolute error = 2.220446049250313e-16 relative error = 2.516562800061679e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3988 Order of pole (three term test) = -18.14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4799999999999995 y[1] (analytic) = -0.8869949227792844 y[1] (numeric) = -0.8869949227792842 absolute error = 2.220446049250313e-16 relative error = 2.503335692489458e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3933 Order of pole (three term test) = -18.32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4699999999999995 y[1] (analytic) = -0.8915682881953292 y[1] (numeric) = -0.8915682881953289 absolute error = 3.33066907387547e-16 relative error = 3.735741970609177e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3878 Order of pole (three term test) = -18.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4599999999999995 y[1] (analytic) = -0.8960524975255254 y[1] (numeric) = -0.8960524975255252 absolute error = 2.220446049250313e-16 relative error = 2.47803120395528e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.382 Order of pole (three term test) = -18.68 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4499999999999995 y[1] (analytic) = -0.9004471023526771 y[1] (numeric) = -0.9004471023526769 absolute error = 2.220446049250313e-16 relative error = 2.465937247672583e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3761 Order of pole (three term test) = -18.85 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4399999999999995 y[1] (analytic) = -0.9047516632199636 y[1] (numeric) = -0.9047516632199634 absolute error = 2.220446049250313e-16 relative error = 2.454204992945647e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3701 Order of pole (three term test) = -19.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4299999999999995 y[1] (analytic) = -0.9089657496748853 y[1] (numeric) = -0.9089657496748851 absolute error = 2.220446049250313e-16 relative error = 2.44282697125223e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3639 Order of pole (three term test) = -19.19 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4199999999999995 y[1] (analytic) = -0.9130889403123085 y[1] (numeric) = -0.9130889403123083 absolute error = 2.220446049250313e-16 relative error = 2.431796018130329e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3575 Order of pole (three term test) = -19.36 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4099999999999995 y[1] (analytic) = -0.9171208228166053 y[1] (numeric) = -0.9171208228166051 absolute error = 2.220446049250313e-16 relative error = 2.421105261170513e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.351 Order of pole (three term test) = -19.52 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3999999999999995 y[1] (analytic) = -0.9210609940028853 y[1] (numeric) = -0.9210609940028851 absolute error = 2.220446049250313e-16 relative error = 2.410748108657131e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3444 Order of pole (three term test) = -19.68 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3899999999999995 y[1] (analytic) = -0.9249090598573132 y[1] (numeric) = -0.9249090598573131 absolute error = 1.110223024625157e-16 relative error = 1.200359119410542e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3377 Order of pole (three term test) = -19.84 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3799999999999994 y[1] (analytic) = -0.9286646355765105 y[1] (numeric) = -0.9286646355765102 absolute error = 2.220446049250313e-16 relative error = 2.391009589669441e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3308 Order of pole (three term test) = -20 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3699999999999994 y[1] (analytic) = -0.9323273456060346 y[1] (numeric) = -0.9323273456060345 absolute error = 1.110223024625157e-16 relative error = 1.190808174679769e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3237 Order of pole (three term test) = -20.15 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3599999999999994 y[1] (analytic) = -0.935896823677935 y[1] (numeric) = -0.9358968236779349 absolute error = 1.110223024625157e-16 relative error = 1.186266473543681e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3166 Order of pole (three term test) = -20.29 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3499999999999994 y[1] (analytic) = -0.9393727128473791 y[1] (numeric) = -0.939372712847379 absolute error = 1.110223024625157e-16 relative error = 1.181877022231042e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3093 Order of pole (three term test) = -20.44 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3399999999999994 y[1] (analytic) = -0.9427546655283464 y[1] (numeric) = -0.9427546655283463 absolute error = 1.110223024625157e-16 relative error = 1.177637263670243e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3019 Order of pole (three term test) = -20.58 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3299999999999994 y[1] (analytic) = -0.9460423435283871 y[1] (numeric) = -0.946042343528387 absolute error = 1.110223024625157e-16 relative error = 1.173544749048374e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2943 Order of pole (three term test) = -20.72 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3199999999999994 y[1] (analytic) = -0.9492354180824411 y[1] (numeric) = -0.9492354180824409 absolute error = 1.110223024625157e-16 relative error = 1.169597134152377e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2867 Order of pole (three term test) = -20.85 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3099999999999994 y[1] (analytic) = -0.9523335698857136 y[1] (numeric) = -0.9523335698857135 absolute error = 1.110223024625157e-16 relative error = 1.16579217590575e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2789 Order of pole (three term test) = -20.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2999999999999994 y[1] (analytic) = -0.9553364891256062 y[1] (numeric) = -0.9553364891256061 absolute error = 1.110223024625157e-16 relative error = 1.16212772909084e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2711 Order of pole (three term test) = -21.11 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2899999999999994 y[1] (analytic) = -0.9582438755126973 y[1] (numeric) = -0.9582438755126973 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2631 Order of pole (three term test) = -21.23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2799999999999994 y[1] (analytic) = -0.9610554383107711 y[1] (numeric) = -0.9610554383107711 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.255 Order of pole (three term test) = -21.35 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2699999999999994 y[1] (analytic) = -0.9637708963658906 y[1] (numeric) = -0.9637708963658906 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2468 Order of pole (three term test) = -21.47 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2599999999999993 y[1] (analytic) = -0.9663899781345134 y[1] (numeric) = -0.9663899781345133 absolute error = 1.110223024625157e-16 relative error = 1.1488354078012e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2385 Order of pole (three term test) = -21.58 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2499999999999993 y[1] (analytic) = -0.968912421710645 y[1] (numeric) = -0.9689124217106448 absolute error = 1.110223024625157e-16 relative error = 1.145844556998272e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2301 Order of pole (three term test) = -21.69 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2399999999999993 y[1] (analytic) = -0.9713379748520298 y[1] (numeric) = -0.9713379748520297 absolute error = 1.110223024625157e-16 relative error = 1.142983238964053e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2217 Order of pole (three term test) = -21.79 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2299999999999993 y[1] (analytic) = -0.973666395005375 y[1] (numeric) = -0.9736663950053749 absolute error = 1.110223024625157e-16 relative error = 1.140249915494955e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2131 Order of pole (three term test) = -21.89 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2199999999999993 y[1] (analytic) = -0.9758974493306056 y[1] (numeric) = -0.9758974493306055 absolute error = 1.110223024625157e-16 relative error = 1.137643125706178e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2045 Order of pole (three term test) = -21.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2099999999999993 y[1] (analytic) = -0.9780309147241484 y[1] (numeric) = -0.9780309147241483 absolute error = 1.110223024625157e-16 relative error = 1.135161484070565e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1957 Order of pole (three term test) = -22.08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1999999999999993 y[1] (analytic) = -0.9800665778412417 y[1] (numeric) = -0.9800665778412416 absolute error = 1.110223024625157e-16 relative error = 1.132803678573149e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1869 Order of pole (three term test) = -22.17 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1899999999999993 y[1] (analytic) = -0.9820042351172704 y[1] (numeric) = -0.9820042351172703 absolute error = 1.110223024625157e-16 relative error = 1.130568468976689e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1781 Order of pole (three term test) = -22.25 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1799999999999993 y[1] (analytic) = -0.9838436927881216 y[1] (numeric) = -0.9838436927881214 absolute error = 1.110223024625157e-16 relative error = 1.128454685193832e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1691 Order of pole (three term test) = -22.33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1699999999999993 y[1] (analytic) = -0.9855847669095609 y[1] (numeric) = -0.9855847669095608 absolute error = 1.110223024625157e-16 relative error = 1.126461225761856e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1601 Order of pole (three term test) = -22.41 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1599999999999993 y[1] (analytic) = -0.987227283375627 y[1] (numeric) = -0.987227283375627 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.151 Order of pole (three term test) = -22.48 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1499999999999992 y[1] (analytic) = -0.9887710779360424 y[1] (numeric) = -0.9887710779360424 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1419 Order of pole (three term test) = -22.55 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1399999999999992 y[1] (analytic) = -0.9902159962126372 y[1] (numeric) = -0.9902159962126372 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1327 Order of pole (three term test) = -22.61 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1299999999999992 y[1] (analytic) = -0.9915618937147881 y[1] (numeric) = -0.9915618937147881 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1234 Order of pole (three term test) = -22.67 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1199999999999992 y[1] (analytic) = -0.9928086358538664 y[1] (numeric) = -0.9928086358538663 absolute error = 1.110223024625157e-16 relative error = 1.118264874549875e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1141 Order of pole (three term test) = -22.72 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1099999999999992 y[1] (analytic) = -0.9939560979566969 y[1] (numeric) = -0.9939560979566968 absolute error = 1.110223024625157e-16 relative error = 1.116973905494893e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1048 Order of pole (three term test) = -22.77 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.09999999999999924 y[1] (analytic) = -0.9950041652780258 y[1] (numeric) = -0.9950041652780257 absolute error = 1.110223024625157e-16 relative error = 1.115797363838106e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.09536 Order of pole (three term test) = -22.82 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.08999999999999925 y[1] (analytic) = -0.9959527330119943 y[1] (numeric) = -0.9959527330119942 absolute error = 1.110223024625157e-16 relative error = 1.114734653388201e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.08594 Order of pole (three term test) = -22.86 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.07999999999999925 y[1] (analytic) = -0.9968017063026194 y[1] (numeric) = -0.9968017063026193 absolute error = 1.110223024625157e-16 relative error = 1.113785236928661e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.07647 Order of pole (three term test) = -22.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.06999999999999926 y[1] (analytic) = -0.9975510002532796 y[1] (numeric) = -0.9975510002532795 absolute error = 1.110223024625157e-16 relative error = 1.112948635551736e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.06698 Order of pole (three term test) = -22.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.05999999999999926 y[1] (analytic) = -0.9982005399352042 y[1] (numeric) = -0.9982005399352041 absolute error = 1.110223024625157e-16 relative error = 1.112224428066553e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.05746 Order of pole (three term test) = -22.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.04999999999999925 y[1] (analytic) = -0.9987502603949663 y[1] (numeric) = -0.9987502603949662 absolute error = 1.110223024625157e-16 relative error = 1.111612250480022e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04792 Order of pole (three term test) = -22.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.03999999999999925 y[1] (analytic) = -0.9992001066609779 y[1] (numeric) = -0.9992001066609779 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03836 Order of pole (three term test) = -23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.02999999999999925 y[1] (analytic) = -0.9995500337489875 y[1] (numeric) = -0.9995500337489875 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02878 Order of pole (three term test) = -23.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.01999999999999925 y[1] (analytic) = -0.9998000066665778 y[1] (numeric) = -0.9998000066665778 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.01919 Order of pole (three term test) = -23.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.009999999999999247 y[1] (analytic) = -0.9999500004166653 y[1] (numeric) = -0.9999500004166653 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.009599 Order of pole (three term test) = -23.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.528699885739343e-16 y[1] (analytic) = -1 y[1] (numeric) = -1 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.865e-16 Order of pole (three term test) = -23.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.01000000000000075 y[1] (analytic) = -0.9999500004166653 y[1] (numeric) = -0.9999500004166653 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.02000000000000075 y[1] (analytic) = -0.9998000066665778 y[1] (numeric) = -0.9998000066665778 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.03000000000000076 y[1] (analytic) = -0.9995500337489875 y[1] (numeric) = -0.9995500337489875 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.04000000000000076 y[1] (analytic) = -0.9992001066609779 y[1] (numeric) = -0.9992001066609779 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.05000000000000076 y[1] (analytic) = -0.9987502603949662 y[1] (numeric) = -0.9987502603949662 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.06000000000000076 y[1] (analytic) = -0.9982005399352041 y[1] (numeric) = -0.9982005399352041 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.07000000000000076 y[1] (analytic) = -0.9975510002532795 y[1] (numeric) = -0.9975510002532795 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.08000000000000075 y[1] (analytic) = -0.9968017063026193 y[1] (numeric) = -0.9968017063026193 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.09000000000000075 y[1] (analytic) = -0.9959527330119942 y[1] (numeric) = -0.9959527330119942 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1000000000000007 y[1] (analytic) = -0.9950041652780257 y[1] (numeric) = -0.9950041652780257 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1100000000000007 y[1] (analytic) = -0.9939560979566968 y[1] (numeric) = -0.9939560979566968 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1200000000000007 y[1] (analytic) = -0.9928086358538661 y[1] (numeric) = -0.9928086358538663 absolute error = 1.110223024625157e-16 relative error = 1.118264874549875e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1300000000000007 y[1] (analytic) = -0.991561893714788 y[1] (numeric) = -0.9915618937147881 absolute error = 1.110223024625157e-16 relative error = 1.119670926910892e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1400000000000007 y[1] (analytic) = -0.9902159962126371 y[1] (numeric) = -0.9902159962126372 absolute error = 1.110223024625157e-16 relative error = 1.121192779021467e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1500000000000007 y[1] (analytic) = -0.9887710779360421 y[1] (numeric) = -0.9887710779360424 absolute error = 2.220446049250313e-16 relative error = 2.245662417518589e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1600000000000008 y[1] (analytic) = -0.9872272833756268 y[1] (numeric) = -0.987227283375627 absolute error = 2.220446049250313e-16 relative error = 2.249174112832397e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1700000000000008 y[1] (analytic) = -0.9855847669095605 y[1] (numeric) = -0.9855847669095608 absolute error = 2.220446049250313e-16 relative error = 2.252922451523712e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1800000000000008 y[1] (analytic) = -0.9838436927881212 y[1] (numeric) = -0.9838436927881214 absolute error = 2.220446049250313e-16 relative error = 2.256909370387664e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1900000000000008 y[1] (analytic) = -0.9820042351172702 y[1] (numeric) = -0.9820042351172703 absolute error = 1.110223024625157e-16 relative error = 1.130568468976689e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2000000000000008 y[1] (analytic) = -0.9800665778412415 y[1] (numeric) = -0.9800665778412416 absolute error = 1.110223024625157e-16 relative error = 1.13280367857315e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2100000000000008 y[1] (analytic) = -0.978030914724148 y[1] (numeric) = -0.9780309147241483 absolute error = 2.220446049250313e-16 relative error = 2.270322968141131e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2200000000000008 y[1] (analytic) = -0.9758974493306053 y[1] (numeric) = -0.9758974493306055 absolute error = 2.220446049250313e-16 relative error = 2.275286251412357e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2300000000000008 y[1] (analytic) = -0.9736663950053747 y[1] (numeric) = -0.9736663950053749 absolute error = 2.220446049250313e-16 relative error = 2.280499830989911e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2400000000000008 y[1] (analytic) = -0.9713379748520294 y[1] (numeric) = -0.9713379748520297 absolute error = 2.220446049250313e-16 relative error = 2.285966477928106e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2500000000000008 y[1] (analytic) = -0.9689124217106446 y[1] (numeric) = -0.9689124217106448 absolute error = 2.220446049250313e-16 relative error = 2.291689113996544e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2600000000000008 y[1] (analytic) = -0.966389978134513 y[1] (numeric) = -0.9663899781345133 absolute error = 3.33066907387547e-16 relative error = 3.446506223403602e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2700000000000009 y[1] (analytic) = -0.9637708963658903 y[1] (numeric) = -0.9637708963658906 absolute error = 3.33066907387547e-16 relative error = 3.455872226931202e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2800000000000009 y[1] (analytic) = -0.9610554383107707 y[1] (numeric) = -0.9610554383107711 absolute error = 4.440892098500626e-16 relative error = 4.620849038954818e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2900000000000009 y[1] (analytic) = -0.958243875512697 y[1] (numeric) = -0.9582438755126973 absolute error = 3.33066907387547e-16 relative error = 3.475805229742204e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3000000000000009 y[1] (analytic) = -0.9553364891256058 y[1] (numeric) = -0.9553364891256062 absolute error = 4.440892098500626e-16 relative error = 4.648510916363362e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3100000000000009 y[1] (analytic) = -0.9523335698857132 y[1] (numeric) = -0.9523335698857136 absolute error = 4.440892098500626e-16 relative error = 4.663168703623001e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3200000000000009 y[1] (analytic) = -0.9492354180824406 y[1] (numeric) = -0.9492354180824411 absolute error = 4.440892098500626e-16 relative error = 4.67838853660951e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3300000000000009 y[1] (analytic) = -0.9460423435283867 y[1] (numeric) = -0.9460423435283871 absolute error = 4.440892098500626e-16 relative error = 4.694178996193497e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3400000000000009 y[1] (analytic) = -0.942754665528346 y[1] (numeric) = -0.9427546655283464 absolute error = 4.440892098500626e-16 relative error = 4.710549054680972e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3500000000000009 y[1] (analytic) = -0.9393727128473786 y[1] (numeric) = -0.9393727128473791 absolute error = 5.551115123125783e-16 relative error = 5.909385111155216e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3600000000000009 y[1] (analytic) = -0.9358968236779345 y[1] (numeric) = -0.935896823677935 absolute error = 5.551115123125783e-16 relative error = 5.93133236771841e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3700000000000009 y[1] (analytic) = -0.932327345606034 y[1] (numeric) = -0.9323273456060346 absolute error = 5.551115123125783e-16 relative error = 5.95404087339885e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3800000000000009 y[1] (analytic) = -0.9286646355765099 y[1] (numeric) = -0.9286646355765105 absolute error = 5.551115123125783e-16 relative error = 5.977523974173605e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.390000000000001 y[1] (analytic) = -0.9249090598573126 y[1] (numeric) = -0.9249090598573133 absolute error = 6.661338147750939e-16 relative error = 7.202154716463256e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.400000000000001 y[1] (analytic) = -0.9210609940028847 y[1] (numeric) = -0.9210609940028853 absolute error = 6.661338147750939e-16 relative error = 7.232244325971398e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.410000000000001 y[1] (analytic) = -0.9171208228166047 y[1] (numeric) = -0.9171208228166053 absolute error = 6.661338147750939e-16 relative error = 7.263315783511544e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.420000000000001 y[1] (analytic) = -0.9130889403123079 y[1] (numeric) = -0.9130889403123085 absolute error = 5.551115123125783e-16 relative error = 6.079490045325826e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.430000000000001 y[1] (analytic) = -0.9089657496748847 y[1] (numeric) = -0.9089657496748853 absolute error = 5.551115123125783e-16 relative error = 6.10706742813058e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.440000000000001 y[1] (analytic) = -0.904751663219963 y[1] (numeric) = -0.9047516632199636 absolute error = 5.551115123125783e-16 relative error = 6.135512482364121e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.450000000000001 y[1] (analytic) = -0.9004471023526764 y[1] (numeric) = -0.9004471023526771 absolute error = 6.661338147750939e-16 relative error = 7.397811743017754e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.460000000000001 y[1] (analytic) = -0.8960524975255247 y[1] (numeric) = -0.8960524975255254 absolute error = 6.661338147750939e-16 relative error = 7.434093611865845e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.470000000000001 y[1] (analytic) = -0.8915682881953285 y[1] (numeric) = -0.8915682881953291 absolute error = 5.551115123125783e-16 relative error = 6.226236617681966e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.480000000000001 y[1] (analytic) = -0.8869949227792837 y[1] (numeric) = -0.8869949227792844 absolute error = 6.661338147750939e-16 relative error = 7.510007077468379e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.490000000000001 y[1] (analytic) = -0.882332858610121 y[1] (numeric) = -0.8823328586101217 absolute error = 6.661338147750939e-16 relative error = 7.549688400185041e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.500000000000001 y[1] (analytic) = -0.8775825618903722 y[1] (numeric) = -0.8775825618903729 absolute error = 6.661338147750939e-16 relative error = 7.590554367217559e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.510000000000001 y[1] (analytic) = -0.8727445076457507 y[1] (numeric) = -0.8727445076457514 absolute error = 6.661338147750939e-16 relative error = 7.632632562443801e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.520000000000001 y[1] (analytic) = -0.8678191796776494 y[1] (numeric) = -0.86781917967765 absolute error = 5.551115123125783e-16 relative error = 6.396626455280394e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.530000000000001 y[1] (analytic) = -0.8628070705147605 y[1] (numeric) = -0.8628070705147611 absolute error = 6.661338147750939e-16 relative error = 7.720541909533391e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.540000000000001 y[1] (analytic) = -0.8577086813638236 y[1] (numeric) = -0.8577086813638243 absolute error = 6.661338147750939e-16 relative error = 7.766434329612815e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.550000000000001 y[1] (analytic) = -0.8525245220595052 y[1] (numeric) = -0.8525245220595059 absolute error = 6.661338147750939e-16 relative error = 7.813661631290866e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5600000000000011 y[1] (analytic) = -0.8472551110134156 y[1] (numeric) = -0.8472551110134163 absolute error = 7.771561172376096e-16 relative error = 9.172634158654299e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5700000000000011 y[1] (analytic) = -0.8419009751622681 y[1] (numeric) = -0.8419009751622689 absolute error = 7.771561172376096e-16 relative error = 9.230968251198669e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5800000000000011 y[1] (analytic) = -0.8364626499151864 y[1] (numeric) = -0.8364626499151872 absolute error = 7.771561172376096e-16 relative error = 9.290984090161226e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5900000000000011 y[1] (analytic) = -0.8309406791001629 y[1] (numeric) = -0.8309406791001637 absolute error = 7.771561172376096e-16 relative error = 9.352726816542459e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6000000000000011 y[1] (analytic) = -0.8253356149096777 y[1] (numeric) = -0.8253356149096784 absolute error = 7.771561172376096e-16 relative error = 9.41624356441542e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6100000000000011 y[1] (analytic) = -0.8196480178454789 y[1] (numeric) = -0.8196480178454797 absolute error = 7.771561172376096e-16 relative error = 9.481583561690746e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6200000000000011 y[1] (analytic) = -0.8138784566625333 y[1] (numeric) = -0.8138784566625341 absolute error = 7.771561172376096e-16 relative error = 9.548798237325131e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6300000000000011 y[1] (analytic) = -0.8080275083121512 y[1] (numeric) = -0.8080275083121521 absolute error = 8.881784197001252e-16 relative error = 1.099193295479998e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 13.12 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6400000000000011 y[1] (analytic) = -0.802095757884292 y[1] (numeric) = -0.8020957578842929 absolute error = 8.881784197001252e-16 relative error = 1.107322175650069e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 13.4 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6500000000000011 y[1] (analytic) = -0.7960837985490551 y[1] (numeric) = -0.7960837985490561 absolute error = 9.992007221626409e-16 relative error = 1.255145154296303e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 13.68 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] = 0.6600000000000011 y[1] (analytic) = -0.7899922314973644 y[1] (numeric) = -0.7899922314973653 absolute error = 8.881784197001252e-16 relative error = 1.12428753636812e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 13.97 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] = 0.6700000000000012 y[1] (analytic) = -0.7838216658808486 y[1] (numeric) = -0.7838216658808494 absolute error = 8.881784197001252e-16 relative error = 1.133138388949739e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 14.26 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6800000000000012 y[1] (analytic) = -0.7775727187509273 y[1] (numeric) = -0.7775727187509281 absolute error = 8.881784197001252e-16 relative error = 1.142244832260669e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 14.56 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6900000000000012 y[1] (analytic) = -0.7712460149971059 y[1] (numeric) = -0.7712460149971068 absolute error = 8.881784197001252e-16 relative error = 1.151614922384342e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 14.86 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7000000000000012 y[1] (analytic) = -0.7648421872844877 y[1] (numeric) = -0.7648421872844886 absolute error = 8.881784197001252e-16 relative error = 1.16125709913248e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 15.16 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7100000000000012 y[1] (analytic) = -0.7583618759905074 y[1] (numeric) = -0.7583618759905083 absolute error = 8.881784197001252e-16 relative error = 1.171180208050494e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 15.47 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7200000000000012 y[1] (analytic) = -0.7518057291408942 y[1] (numeric) = -0.7518057291408952 absolute error = 9.992007221626409e-16 relative error = 1.329067714480509e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 15.79 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7300000000000012 y[1] (analytic) = -0.7451744023448695 y[1] (numeric) = -0.7451744023448705 absolute error = 9.992007221626409e-16 relative error = 1.340895123367653e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 16.11 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7400000000000012 y[1] (analytic) = -0.7384685587295871 y[1] (numeric) = -0.7384685587295881 absolute error = 9.992007221626409e-16 relative error = 1.353071448135314e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 16.44 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] = 0.7500000000000012 y[1] (analytic) = -0.73168886887382 y[1] (numeric) = -0.731688868873821 absolute error = 9.992007221626409e-16 relative error = 1.365608750752984e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 16.77 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] = 0.7600000000000012 y[1] (analytic) = -0.7248360107409043 y[1] (numeric) = -0.7248360107409053 absolute error = 9.992007221626409e-16 relative error = 1.378519702879124e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.11 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7700000000000012 y[1] (analytic) = -0.7179106696109425 y[1] (numeric) = -0.7179106696109435 absolute error = 9.992007221626409e-16 relative error = 1.39181762363852e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.45 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] = 0.7800000000000012 y[1] (analytic) = -0.7109135380122765 y[1] (numeric) = -0.7109135380122775 absolute error = 9.992007221626409e-16 relative error = 1.405516520273927e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.18 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7900000000000013 y[1] (analytic) = -0.7038453156522352 y[1] (numeric) = -0.7038453156522363 absolute error = 1.110223024625157e-15 relative error = 1.577367924366083e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 16.84 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] = 0.8000000000000013 y[1] (analytic) = -0.6967067093471645 y[1] (numeric) = -0.6967067093471656 absolute error = 1.110223024625157e-15 relative error = 1.593529974277798e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 16.51 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] = 0.8100000000000013 y[1] (analytic) = -0.6894984329517461 y[1] (numeric) = -0.6894984329517472 absolute error = 1.110223024625157e-15 relative error = 1.610189337011669e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 16.18 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8200000000000013 y[1] (analytic) = -0.6822212072876126 y[1] (numeric) = -0.6822212072876137 absolute error = 1.110223024625157e-15 relative error = 1.627365160692089e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 15.86 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8300000000000013 y[1] (analytic) = -0.6748757600712662 y[1] (numeric) = -0.6748757600712673 absolute error = 1.110223024625157e-15 relative error = 1.645077642895217e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 15.55 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8400000000000013 y[1] (analytic) = -0.6674628258413071 y[1] (numeric) = -0.6674628258413082 absolute error = 1.110223024625157e-15 relative error = 1.663348102159502e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 15.24 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8500000000000013 y[1] (analytic) = -0.6599831458849812 y[1] (numeric) = -0.6599831458849823 absolute error = 1.110223024625157e-15 relative error = 1.682199055456851e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 14.93 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8600000000000013 y[1] (analytic) = -0.6524374681640508 y[1] (numeric) = -0.652437468164052 absolute error = 1.221245327087672e-15 relative error = 1.871819732432348e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 14.64 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8700000000000013 y[1] (analytic) = -0.6448265472400002 y[1] (numeric) = -0.6448265472400013 absolute error = 1.110223024625157e-15 relative error = 1.721739015518446e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 14.34 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8800000000000013 y[1] (analytic) = -0.6371511441985792 y[1] (numeric) = -0.6371511441985803 absolute error = 1.110223024625157e-15 relative error = 1.742479841296709e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 14.05 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] = 0.8900000000000013 y[1] (analytic) = -0.6294120265736959 y[1] (numeric) = -0.629412026573697 absolute error = 1.110223024625157e-15 relative error = 1.763905006183043e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 13.77 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] = 0.9000000000000014 y[1] (analytic) = -0.6216099682706634 y[1] (numeric) = -0.6216099682706646 absolute error = 1.221245327087672e-15 relative error = 1.964648878596995e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 13.49 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9100000000000014 y[1] (analytic) = -0.6137457494888104 y[1] (numeric) = -0.6137457494888117 absolute error = 1.221245327087672e-15 relative error = 1.989822867376025e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 13.22 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] = 0.9200000000000014 y[1] (analytic) = -0.6058201566434618 y[1] (numeric) = -0.605820156643463 absolute error = 1.221245327087672e-15 relative error = 2.015854562934923e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 12.94 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9300000000000014 y[1] (analytic) = -0.5978339822872971 y[1] (numeric) = -0.5978339822872984 absolute error = 1.332267629550188e-15 relative error = 2.228490967430401e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 12.68 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] = 0.9400000000000014 y[1] (analytic) = -0.5897880250310971 y[1] (numeric) = -0.5897880250310984 absolute error = 1.332267629550188e-15 relative error = 2.25889230199264e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 12.42 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9500000000000014 y[1] (analytic) = -0.5816830894638824 y[1] (numeric) = -0.5816830894638837 absolute error = 1.332267629550188e-15 relative error = 2.290366788517256e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9600000000000014 y[1] (analytic) = -0.5735199860724555 y[1] (numeric) = -0.5735199860724569 absolute error = 1.443289932012704e-15 relative error = 2.516546880774903e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9700000000000014 y[1] (analytic) = -0.5652995311603531 y[1] (numeric) = -0.5652995311603546 absolute error = 1.443289932012704e-15 relative error = 2.553141922920327e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9800000000000014 y[1] (analytic) = -0.5570225467662161 y[1] (numeric) = -0.5570225467662175 absolute error = 1.443289932012704e-15 relative error = 2.59107991299759e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9900000000000014 y[1] (analytic) = -0.5486898605815864 y[1] (numeric) = -0.5486898605815879 absolute error = 1.443289932012704e-15 relative error = 2.630429384065675e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 3 ) = m1 * diff ( y , x , 1 ) ; Iterations = 200 Total Elapsed Time = 0 Seconds Elapsed Time(since restart) = 0 Seconds Time to Timeout = 3 Minutes 0 Seconds Percent Done = 100.5 %