##############ECHO OF PROBLEM################# ##############temp/sing3postode.ode################# diff ( y , x , 1 ) = m1 * 2.0 / x / x / x ; ! // BEGIN FIRST INPUT BLOCK Digits=16; max_terms=20; ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK x_start=-2.0; x_end=-0.7; array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_type_given_pole=1; array_given_rad_poles[1][1]=0.0; array_given_rad_poles[1][2]=0.0; array_given_ord_poles[1][1]=2.0; array_given_ord_poles[1][2]=0.0; // END SECOND INPUT BLOCK // BEGIN OVERRIDE BLOCK glob_desired_digits_correct=10; glob_display_interval=0.01; glob_look_poles=true; glob_max_iter=100000000; glob_max_minutes=10.0; glob_subiter_method=3; // END OVERRIDE BLOCK ! // BEGIN USER DEF BLOCK double exact_soln_y (double x) { } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Optimize min_size = 0 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 1e-06 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 1.3 estimated_steps = 1300000 step_error = 4.385290096535146e-15 est_needed_step_err = 4.385290096535146e-15 opt_iter = 1 Radius of convergence (given) for eq 1 = 2 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 2 glob_desired_digits_correct = 10 estimated_h = 1e-06 estimated_answer = 2 desired_abs_gbl_error = 2e-10 range = 1.3 estimated_steps = 1300000 step_error = 8.770580193070292e-15 est_needed_step_err = 8.770580193070292e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 7.152559056001943e-102 estimated_step_error = 7.152559056001943e-102 Double H and LOOP opt_iter = 2 Radius of convergence (given) for eq 1 = 2 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 2 glob_desired_digits_correct = 10 estimated_h = 2e-06 estimated_answer = 2 desired_abs_gbl_error = 2e-10 range = 1.3 estimated_steps = 650000 step_error = 1.240347345892085e-14 est_needed_step_err = 1.240347345892085e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.68750220588339e-97 estimated_step_error = 4.68750220588339e-97 Double H and LOOP opt_iter = 3 Radius of convergence (given) for eq 1 = 2 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 2 glob_desired_digits_correct = 10 estimated_h = 4e-06 estimated_answer = 2 desired_abs_gbl_error = 2e-10 range = 1.3 estimated_steps = 325000 step_error = 1.754116038614058e-14 est_needed_step_err = 1.754116038614058e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.072002891296846e-92 estimated_step_error = 3.072002891296846e-92 Double H and LOOP opt_iter = 4 Radius of convergence (given) for eq 1 = 2 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 2 glob_desired_digits_correct = 10 estimated_h = 8e-06 estimated_answer = 2 desired_abs_gbl_error = 2e-10 range = 1.3 estimated_steps = 162500 step_error = 2.480694691784169e-14 est_needed_step_err = 2.480694691784169e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.013269709684182e-87 estimated_step_error = 2.013269709684182e-87 Double H and LOOP opt_iter = 5 Radius of convergence (given) for eq 1 = 2 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 2 glob_desired_digits_correct = 10 estimated_h = 1.6e-05 estimated_answer = 2 desired_abs_gbl_error = 2e-10 range = 1.3 estimated_steps = 81250 step_error = 3.508232077228117e-14 est_needed_step_err = 3.508232077228117e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.319418920555435e-82 estimated_step_error = 1.319418920555435e-82 Double H and LOOP opt_iter = 6 Radius of convergence (given) for eq 1 = 2 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 2 glob_desired_digits_correct = 10 estimated_h = 3.2e-05 estimated_answer = 2 desired_abs_gbl_error = 2e-10 range = 1.3 estimated_steps = 40625 step_error = 4.961389383568339e-14 est_needed_step_err = 4.961389383568339e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 8.646976391198815e-78 estimated_step_error = 8.646976391198815e-78 Double H and LOOP opt_iter = 7 Radius of convergence (given) for eq 1 = 2 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 2 glob_desired_digits_correct = 10 estimated_h = 6.4e-05 estimated_answer = 2 desired_abs_gbl_error = 2e-10 range = 1.3 estimated_steps = 20312.5 step_error = 7.016464154456234e-14 est_needed_step_err = 7.016464154456234e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 5.666925116673318e-73 estimated_step_error = 5.666925116673318e-73 Double H and LOOP opt_iter = 8 Radius of convergence (given) for eq 1 = 2 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 2 glob_desired_digits_correct = 10 estimated_h = 0.000128 estimated_answer = 2 desired_abs_gbl_error = 2e-10 range = 1.3 estimated_steps = 10156.25 step_error = 9.922778767136677e-14 est_needed_step_err = 9.922778767136677e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.713931972760191e-68 estimated_step_error = 3.713931972760191e-68 Double H and LOOP opt_iter = 9 Radius of convergence (given) for eq 1 = 2 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 2 glob_desired_digits_correct = 10 estimated_h = 0.000256 estimated_answer = 2 desired_abs_gbl_error = 2e-10 range = 1.3 estimated_steps = 5078.125 step_error = 1.403292830891247e-13 est_needed_step_err = 1.403292830891247e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.434035767329203e-63 estimated_step_error = 2.434035767329203e-63 Double H and LOOP opt_iter = 10 Radius of convergence (given) for eq 1 = 2 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 2 glob_desired_digits_correct = 10 estimated_h = 0.000512 estimated_answer = 2 desired_abs_gbl_error = 2e-10 range = 1.3 estimated_steps = 2539.0625 step_error = 1.984555753427335e-13 est_needed_step_err = 1.984555753427335e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.595265777628918e-58 estimated_step_error = 1.595265777628918e-58 Double H and LOOP opt_iter = 11 Radius of convergence (given) for eq 1 = 2 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 2 glob_desired_digits_correct = 10 estimated_h = 0.001024 estimated_answer = 2 desired_abs_gbl_error = 2e-10 range = 1.3 estimated_steps = 1269.53125 step_error = 2.806585661782493e-13 est_needed_step_err = 2.806585661782493e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.045599359331682e-53 estimated_step_error = 1.045599359331682e-53 Double H and LOOP opt_iter = 12 Radius of convergence (given) for eq 1 = 2 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 2 glob_desired_digits_correct = 10 estimated_h = 0.002048 estimated_answer = 2 desired_abs_gbl_error = 2e-10 range = 1.3 estimated_steps = 634.765625 step_error = 3.969111506854671e-13 est_needed_step_err = 3.969111506854671e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 6.854091796399115e-49 estimated_step_error = 6.854091796399115e-49 Double H and LOOP opt_iter = 13 Radius of convergence (given) for eq 1 = 2 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 2 glob_desired_digits_correct = 10 estimated_h = 0.004096 estimated_answer = 2 desired_abs_gbl_error = 2e-10 range = 1.3 estimated_steps = 317.3828125 step_error = 5.613171323564987e-13 est_needed_step_err = 5.613171323564987e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.494064264907686e-44 estimated_step_error = 4.494064264907686e-44 Double H and LOOP opt_iter = 14 Radius of convergence (given) for eq 1 = 2 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 2 glob_desired_digits_correct = 10 estimated_h = 0.008192 estimated_answer = 2 desired_abs_gbl_error = 2e-10 range = 1.3 estimated_steps = 158.69140625 step_error = 7.938223013709342e-13 est_needed_step_err = 7.938223013709342e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.948073975815616e-39 estimated_step_error = 2.948073975815616e-39 Double H and LOOP opt_iter = 15 SETTING H FOR DISPLAY INTERVAL Radius of convergence (given) for eq 1 = 2 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.221 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 START of Soultion TOP MAIN SOLVE Loop x[1] = -2 y[1] (analytic) = -2 y[1] (numeric) = -2 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 13 Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 2 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2 Order of pole (three term test) = 6.584e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.99 y[1] (analytic) = -1.99 y[1] (numeric) = -1.997481124214043 absolute error = 0.0074811242140429 relative error = 0.3759358901529096 % Desired digits = 10 Estimated correct digits = 13 Correct digits = 3 h = 0.01 Radius of convergence (given) for eq 1 = 1.99 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.99 Order of pole (three term test) = 2.832e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.98 y[1] (analytic) = -1.98 y[1] (numeric) = -1.994923987348246 absolute error = 0.01492398734824585 relative error = 0.7537367347598913 % Desired digits = 10 Estimated correct digits = 13 Correct digits = 3 h = 0.01 Radius of convergence (given) for eq 1 = 1.98 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.98 Order of pole (three term test) = 9.74e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.97 y[1] (analytic) = -1.97 y[1] (numeric) = -1.992327810559431 absolute error = 0.02232781055943089 relative error = 1.133391398955883 % Desired digits = 10 Estimated correct digits = 13 Correct digits = 3 h = 0.01 Radius of convergence (given) for eq 1 = 1.97 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.97 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.96 y[1] (analytic) = -1.96 y[1] (numeric) = -1.989691795085414 absolute error = 0.02969179508541453 relative error = 1.514887504357884 % Desired digits = 10 Estimated correct digits = 13 Correct digits = 3 h = 0.01 Radius of convergence (given) for eq 1 = 1.96 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.96 Order of pole (three term test) = 3.591e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.95 y[1] (analytic) = -1.95 y[1] (numeric) = -1.987015121630549 absolute error = 0.03701512163054899 relative error = 1.898211365669179 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 3 h = 0.01 Radius of convergence (given) for eq 1 = 1.95 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.95 Order of pole (three term test) = 3.08e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.94 y[1] (analytic) = -1.94 y[1] (numeric) = -1.984296949729035 absolute error = 0.04429694972903531 relative error = 2.283347924177078 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 3 h = 0.01 Radius of convergence (given) for eq 1 = 1.94 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.94 Order of pole (three term test) = 2.64e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.93 y[1] (analytic) = -1.93 y[1] (numeric) = -1.981536417085085 absolute error = 0.05153641708508494 relative error = 2.670280677983676 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 3 h = 0.01 Radius of convergence (given) for eq 1 = 1.93 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.93 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.92 y[1] (analytic) = -1.92 y[1] (numeric) = -1.978732638888962 absolute error = 0.05873263888896196 relative error = 3.058991608800103 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 3 h = 0.01 Radius of convergence (given) for eq 1 = 1.92 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.92 Order of pole (three term test) = 7.739e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.91 y[1] (analytic) = -1.91 y[1] (numeric) = -1.975884707107894 absolute error = 0.06588470710789363 relative error = 3.449461105125321 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 3 h = 0.01 Radius of convergence (given) for eq 1 = 1.91 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.91 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.9 y[1] (analytic) = -1.9 y[1] (numeric) = -1.972991689750788 absolute error = 0.07299168975078807 relative error = 3.841667881620425 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 3 h = 0.01 Radius of convergence (given) for eq 1 = 1.9 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.9 Order of pole (three term test) = 2.826e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.89 y[1] (analytic) = -1.89 y[1] (numeric) = -1.970052630105648 absolute error = 0.08005263010564767 relative error = 4.235588894478713 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 3 h = 0.01 Radius of convergence (given) for eq 1 = 1.89 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.89 Order of pole (three term test) = 7.237e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.88 y[1] (analytic) = -1.88 y[1] (numeric) = -1.967066545948513 absolute error = 0.08706654594851293 relative error = 4.631199252580476 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 3 h = 0.01 Radius of convergence (given) for eq 1 = 1.88 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.88 Order of pole (three term test) = 4.115e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.87 y[1] (analytic) = -1.87 y[1] (numeric) = -1.964032428722716 absolute error = 0.09403242872271589 relative error = 5.028472124209406 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 3 h = 0.01 Radius of convergence (given) for eq 1 = 1.87 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.87 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.86 y[1] (analytic) = -1.86 y[1] (numeric) = -1.960949242687162 absolute error = 0.1009492426871623 relative error = 5.427378639094749 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 3 h = 0.01 Radius of convergence (given) for eq 1 = 1.86 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.86 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.85 y[1] (analytic) = -1.85 y[1] (numeric) = -1.957815924032301 absolute error = 0.1078159240323009 relative error = 5.827887785529779 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 3 h = 0.01 Radius of convergence (given) for eq 1 = 1.85 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.85 Order of pole (three term test) = 5.079e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.84 y[1] (analytic) = -1.84 y[1] (numeric) = -1.954631379962368 absolute error = 0.1146313799623682 relative error = 6.229966302302619 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 3 h = 0.01 Radius of convergence (given) for eq 1 = 1.84 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.84 Order of pole (three term test) = 4.317e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.83 y[1] (analytic) = -1.83 y[1] (numeric) = -1.951394487742434 absolute error = 0.1213944877424344 relative error = 6.633578565160352 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 3 h = 0.01 Radius of convergence (given) for eq 1 = 1.83 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.83 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.82 y[1] (analytic) = -1.82 y[1] (numeric) = -1.948104093708696 absolute error = 0.1281040937086961 relative error = 7.038686467510778 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 3 h = 0.01 Radius of convergence (given) for eq 1 = 1.82 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.82 Order of pole (three term test) = 3.11e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.81 y[1] (analytic) = -1.81 y[1] (numeric) = -1.944759012240387 absolute error = 0.1347590122403872 relative error = 7.445249295049019 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 3 h = 0.01 Radius of convergence (given) for eq 1 = 1.81 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.81 Order of pole (three term test) = 2.636e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.8 y[1] (analytic) = -1.8 y[1] (numeric) = -1.941358024691599 absolute error = 0.1413580246915991 relative error = 7.853223593977728 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 3 h = 0.01 Radius of convergence (given) for eq 1 = 1.8 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.8 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.79 y[1] (analytic) = -1.79 y[1] (numeric) = -1.937899878281212 absolute error = 0.147899878281212 relative error = 8.262563032469943 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 3 h = 0.01 Radius of convergence (given) for eq 1 = 1.79 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.79 Order of pole (three term test) = 3.778e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.78 y[1] (analytic) = -1.78 y[1] (numeric) = -1.934383284939049 absolute error = 0.154383284939049 relative error = 8.673218255002752 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 3 h = 0.01 Radius of convergence (given) for eq 1 = 1.78 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.78 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.77 y[1] (analytic) = -1.77 y[1] (numeric) = -1.930806920106271 absolute error = 0.1608069201062707 relative error = 9.085136729167839 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 3 h = 0.01 Radius of convergence (given) for eq 1 = 1.77 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.77 Order of pole (three term test) = 1.079e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.76 y[1] (analytic) = -1.76 y[1] (numeric) = -1.927169421487923 absolute error = 0.1671694214879229 relative error = 9.498262584541076 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 3 h = 0.01 Radius of convergence (given) for eq 1 = 1.76 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.76 Order of pole (three term test) = 4.551e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.75 y[1] (analytic) = -1.75 y[1] (numeric) = -1.923469387755443 absolute error = 0.1734693877554436 relative error = 9.912536443168209 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 3 h = 0.01 Radius of convergence (given) for eq 1 = 1.75 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.75 Order of pole (three term test) = 3.836e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.74 y[1] (analytic) = -1.74 y[1] (numeric) = -1.919705377196824 absolute error = 0.1797053771968238 relative error = 10.32789524119677 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.74 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.74 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.73 y[1] (analytic) = -1.73 y[1] (numeric) = -1.915875906311993 absolute error = 0.1858759063119928 relative error = 10.74427204115566 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.73 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.73 Order of pole (three term test) = 5.434e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.72 y[1] (analytic) = -1.72 y[1] (numeric) = -1.911979448350873 absolute error = 0.1919794483508737 relative error = 11.16159583435312 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.72 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.72 Order of pole (three term test) = 4.567e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.71 y[1] (analytic) = -1.71 y[1] (numeric) = -1.908014431791418 absolute error = 0.1980144317914188 relative error = 11.57979133283151 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.71 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.71 Order of pole (three term test) = 7.668e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.7 y[1] (analytic) = -1.7 y[1] (numeric) = -1.903979238754793 absolute error = 0.2039792387547932 relative error = 11.99877875028195 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.7 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.7 Order of pole (three term test) = 3.215e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.69 y[1] (analytic) = -1.69 y[1] (numeric) = -1.899872203354721 absolute error = 0.2098722033547211 relative error = 12.41847357128528 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.69 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.69 Order of pole (three term test) = 2.694e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.68 y[1] (analytic) = -1.68 y[1] (numeric) = -1.895691609977851 absolute error = 0.2156916099778514 relative error = 12.83878630820544 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.68 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.68 Order of pole (three term test) = 9.017e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.67 y[1] (analytic) = -1.67 y[1] (numeric) = -1.891435691491828 absolute error = 0.2214356914918281 relative error = 13.25962224501965 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.67 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.67 Order of pole (three term test) = 3.769e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.66 y[1] (analytic) = -1.66 y[1] (numeric) = -1.88710262737757 absolute error = 0.2271026273775703 relative error = 13.68088116732351 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.66 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.66 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.65 y[1] (analytic) = -1.65 y[1] (numeric) = -1.882690541782078 absolute error = 0.2326905417820784 relative error = 14.10245707770172 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.65 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.65 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.64 y[1] (analytic) = -1.64 y[1] (numeric) = -1.878197501487874 absolute error = 0.2381975014878743 relative error = 14.5242378956021 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.64 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.64 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.63 y[1] (analytic) = -1.63 y[1] (numeric) = -1.873621513794974 absolute error = 0.2436215137949744 relative error = 14.94610514079598 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.63 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.63 Order of pole (three term test) = 3.643e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.62 y[1] (analytic) = -1.62 y[1] (numeric) = -1.868960524311062 absolute error = 0.248960524311062 relative error = 15.36793359944827 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.62 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.62 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.61 y[1] (analytic) = -1.61 y[1] (numeric) = -1.864212414645283 absolute error = 0.2542124146452829 relative error = 15.7895909717567 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.61 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.61 Order of pole (three term test) = 5.03e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.6 y[1] (analytic) = -1.6 y[1] (numeric) = -1.859375000000831 absolute error = 0.259375000000831 relative error = 16.21093750005194 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.6 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.6 Order of pole (three term test) = 4.173e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.59 y[1] (analytic) = -1.59 y[1] (numeric) = -1.854446026661215 absolute error = 0.2644460266612159 relative error = 16.6318255761771 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.59 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.59 Order of pole (three term test) = 3.457e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.58 y[1] (analytic) = -1.58 y[1] (numeric) = -1.849423169364811 absolute error = 0.2694231693648117 relative error = 17.05209932688682 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.58 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.58 Order of pole (three term test) = 2.861e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.57 y[1] (analytic) = -1.57 y[1] (numeric) = -1.844304028561976 absolute error = 0.2743040285619762 relative error = 17.47159417592206 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.57 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.57 Order of pole (three term test) = 2.365e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.56 y[1] (analytic) = -1.56 y[1] (numeric) = -1.8390861275487 absolute error = 0.2790861275487007 relative error = 17.89013638132697 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.56 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.56 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.55 y[1] (analytic) = -1.55 y[1] (numeric) = -1.833766909470395 absolute error = 0.2837669094703952 relative error = 18.30754254647711 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.55 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.55 Order of pole (three term test) = 6.439e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.54 y[1] (analytic) = -1.54 y[1] (numeric) = -1.828343734189043 absolute error = 0.2883437341890431 relative error = 18.72361910318462 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.54 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.54 Order of pole (three term test) = 2.651e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.53 y[1] (analytic) = -1.53 y[1] (numeric) = -1.822813875006557 absolute error = 0.292813875006557 relative error = 19.13816176513445 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.53 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.53 Order of pole (three term test) = 4.362e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.52 y[1] (analytic) = -1.52 y[1] (numeric) = -1.817174515236741 absolute error = 0.2971745152367415 relative error = 19.55095494978563 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.52 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.52 Order of pole (three term test) = 3.583e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.51 y[1] (analytic) = -1.51 y[1] (numeric) = -1.811422744617819 absolute error = 0.3014227446178197 relative error = 19.96177116674303 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.51 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.51 Order of pole (three term test) = 8.817e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.5 y[1] (analytic) = -1.5 y[1] (numeric) = -1.805555555556986 absolute error = 0.305555555556986 relative error = 20.37037037046574 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.5 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.5 Order of pole (three term test) = 4.816e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.49 y[1] (analytic) = -1.49 y[1] (numeric) = -1.799569839197942 absolute error = 0.309569839197942 relative error = 20.77649927502967 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.49 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.49 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.48 y[1] (analytic) = -1.48 y[1] (numeric) = -1.793462381301811 absolute error = 0.3134623813018118 relative error = 21.1798906285008 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.48 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.48 Order of pole (three term test) = 6.439e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.47 y[1] (analytic) = -1.47 y[1] (numeric) = -1.787229857931247 absolute error = 0.3172298579312471 relative error = 21.58026244430253 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.47 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.47 Order of pole (three term test) = 5.254e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.46 y[1] (analytic) = -1.46 y[1] (numeric) = -1.7808688309269 absolute error = 0.3208688309269003 relative error = 21.977317186774 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.46 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.46 Order of pole (three term test) = 8.562e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.45 y[1] (analytic) = -1.45 y[1] (numeric) = -1.774375743164773 absolute error = 0.3243757431647731 relative error = 22.37074090791539 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.45 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.45 Order of pole (three term test) = 6.967e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.44 y[1] (analytic) = -1.44 y[1] (numeric) = -1.767746913582222 absolute error = 0.3277469135822224 relative error = 22.76020233209879 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.44 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.44 Order of pole (three term test) = 2.83e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.429999999999999 y[1] (analytic) = -1.429999999999999 y[1] (numeric) = -1.760978531959638 absolute error = 0.3309785319596381 relative error = 23.14535188528938 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.43 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.43 Order of pole (three term test) = 9.185e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.419999999999999 y[1] (analytic) = -1.419999999999999 y[1] (numeric) = -1.754066653443978 absolute error = 0.3340666534439785 relative error = 23.52582066506891 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.42 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.42 Order of pole (three term test) = 7.442e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.409999999999999 y[1] (analytic) = -1.409999999999999 y[1] (numeric) = -1.747007192799466 absolute error = 0.3370071927994667 relative error = 23.90121934747992 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.41 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.41 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.399999999999999 y[1] (analytic) = -1.399999999999999 y[1] (numeric) = -1.7397959183698 absolute error = 0.3397959183698003 relative error = 24.27113702641432 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.4 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.4 Order of pole (three term test) = 4.862e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.389999999999999 y[1] (analytic) = -1.389999999999999 y[1] (numeric) = -1.732428445735213 absolute error = 0.3424284457352131 relative error = 24.63513998095059 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.39 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.39 Order of pole (three term test) = 3.922e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.379999999999999 y[1] (analytic) = -1.379999999999999 y[1] (numeric) = -1.724900231046634 absolute error = 0.3449002310466345 relative error = 24.99277036569816 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.38 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.38 Order of pole (three term test) = 3.158e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.369999999999999 y[1] (analytic) = -1.369999999999999 y[1] (numeric) = -1.717206564018021 absolute error = 0.3472065640180215 relative error = 25.3435448188337 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.37 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.37 Order of pole (three term test) = 5.078e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.359999999999999 y[1] (analytic) = -1.359999999999999 y[1] (numeric) = -1.709342560556686 absolute error = 0.3493425605566869 relative error = 25.68695298210934 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.36 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.36 Order of pole (three term test) = 4.076e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.349999999999999 y[1] (analytic) = -1.349999999999999 y[1] (numeric) = -1.701303155010085 absolute error = 0.3513031550100856 relative error = 26.02245592667302 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.35 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.35 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.339999999999999 y[1] (analytic) = -1.339999999999999 y[1] (numeric) = -1.693083092006083 absolute error = 0.3530830920060839 relative error = 26.34948447806597 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.34 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.34 Order of pole (three term test) = 2.613e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.329999999999999 y[1] (analytic) = -1.329999999999999 y[1] (numeric) = -1.684676917862161 absolute error = 0.354676917862162 relative error = 26.66743743324528 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.33 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.33 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.319999999999999 y[1] (analytic) = -1.319999999999999 y[1] (numeric) = -1.676078971537329 absolute error = 0.35607897153733 relative error = 26.97567966191896 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.32 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.32 Order of pole (three term test) = 3.329e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.309999999999999 y[1] (analytic) = -1.309999999999999 y[1] (numeric) = -1.667283375098724 absolute error = 0.3572833750987245 relative error = 27.27354008387211 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.31 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.31 Order of pole (three term test) = 5.3e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.299999999999999 y[1] (analytic) = -1.299999999999999 y[1] (numeric) = -1.658284023672906 absolute error = 0.3582840236729061 relative error = 27.56030951330048 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.3 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.3 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.289999999999999 y[1] (analytic) = -1.289999999999999 y[1] (numeric) = -1.649074574849777 absolute error = 0.3590745748497775 relative error = 27.83523836044788 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.29 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.29 Order of pole (three term test) = 3.34e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.279999999999999 y[1] (analytic) = -1.279999999999999 y[1] (numeric) = -1.63964843750478 absolute error = 0.3596484375047804 relative error = 28.09753418006098 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.28 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.28 Order of pole (three term test) = 5.29e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.269999999999999 y[1] (analytic) = -1.269999999999999 y[1] (numeric) = -1.629998760002581 absolute error = 0.359998760002582 relative error = 28.34635905532144 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.27 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.27 Order of pole (three term test) = 8.361e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.259999999999999 y[1] (analytic) = -1.259999999999999 y[1] (numeric) = -1.620118417742827 absolute error = 0.3601184177428274 relative error = 28.58082680498631 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.26 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.26 Order of pole (three term test) = 6.596e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.249999999999999 y[1] (analytic) = -1.249999999999999 y[1] (numeric) = -1.610000000005681 absolute error = 0.3600000000056816 relative error = 28.80000000045454 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.25 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.25 Order of pole (three term test) = 2.597e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.239999999999999 y[1] (analytic) = -1.239999999999999 y[1] (numeric) = -1.599635796051807 absolute error = 0.3596357960518077 relative error = 29.00288677837161 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.24 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.24 Order of pole (three term test) = 4.081e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.229999999999999 y[1] (analytic) = -1.229999999999999 y[1] (numeric) = -1.589017780428091 absolute error = 0.3590177804280921 relative error = 29.18843743317823 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.23 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.23 Order of pole (three term test) = 3.201e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.219999999999999 y[1] (analytic) = -1.219999999999999 y[1] (numeric) = -1.578137597426821 absolute error = 0.3581375974268213 relative error = 29.35554077269029 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.22 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.22 Order of pole (three term test) = 2.506e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.209999999999999 y[1] (analytic) = -1.209999999999999 y[1] (numeric) = -1.566986544642115 absolute error = 0.3569865446421161 relative error = 29.50302021835672 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.21 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.21 Order of pole (three term test) = 3.915e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.199999999999999 y[1] (analytic) = -1.199999999999999 y[1] (numeric) = -1.555555555563184 absolute error = 0.3555555555631844 relative error = 29.62962963026538 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.2 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.2 Order of pole (three term test) = 3.052e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.189999999999999 y[1] (analytic) = -1.189999999999999 y[1] (numeric) = -1.543835181139377 absolute error = 0.3538351811393774 relative error = 29.73404883524181 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.19 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.19 Order of pole (three term test) = 9.499e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.179999999999999 y[1] (analytic) = -1.179999999999999 y[1] (numeric) = -1.531815570247043 absolute error = 0.3518155702470438 relative error = 29.81487883449526 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.18 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.18 Order of pole (three term test) = 3.687e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.169999999999999 y[1] (analytic) = -1.169999999999999 y[1] (numeric) = -1.519486448982775 absolute error = 0.3494864489827756 relative error = 29.87063666519451 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.17 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.17 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.159999999999999 y[1] (analytic) = -1.159999999999999 y[1] (numeric) = -1.506837098701758 absolute error = 0.3468370987017591 relative error = 29.8997498880827 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.16 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.16 Order of pole (three term test) = 4.416e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.149999999999999 y[1] (analytic) = -1.149999999999999 y[1] (numeric) = -1.493856332713559 absolute error = 0.3438563327135593 relative error = 29.90055067074431 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.15 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.15 Order of pole (three term test) = 3.406e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.139999999999999 y[1] (analytic) = -1.139999999999999 y[1] (numeric) = -1.480532471540711 absolute error = 0.3405324715407116 relative error = 29.87126943339578 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.14 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.14 Order of pole (three term test) = 2.621e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.129999999999999 y[1] (analytic) = -1.129999999999999 y[1] (numeric) = -1.466853316637926 absolute error = 0.3368533166379271 relative error = 29.81002802105552 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.13 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.13 Order of pole (three term test) = 4.024e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.119999999999999 y[1] (analytic) = -1.119999999999999 y[1] (numeric) = -1.452806122461467 absolute error = 0.3328061224614673 relative error = 29.71483236263103 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.12 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.12 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.109999999999999 y[1] (analytic) = -1.109999999999999 y[1] (numeric) = -1.438377566769253 absolute error = 0.3283775667692541 relative error = 29.5835645738067 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.11 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.11 Order of pole (three term test) = 2.355e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.099999999999999 y[1] (analytic) = -1.099999999999999 y[1] (numeric) = -1.423553719022455 absolute error = 0.323553719022456 relative error = 29.41397445658693 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.1 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.1 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.089999999999999 y[1] (analytic) = -1.089999999999999 y[1] (numeric) = -1.40832000674858 absolute error = 0.3183200067485805 relative error = 29.20367034390649 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.09 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.09 Order of pole (three term test) = 5.459e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.079999999999999 y[1] (analytic) = -1.079999999999999 y[1] (numeric) = -1.392661179714378 absolute error = 0.3126611797143783 relative error = 28.95010923281283 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.08 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.08 Order of pole (three term test) = 4.141e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.069999999999999 y[1] (analytic) = -1.069999999999999 y[1] (numeric) = -1.376561271744049 absolute error = 0.3065612717440493 relative error = 28.6505861443037 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.07 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.07 Order of pole (three term test) = 6.264e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.059999999999999 y[1] (analytic) = -1.059999999999999 y[1] (numeric) = -1.360003560004205 absolute error = 0.3000035600042055 relative error = 28.3022226419062 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.06 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.06 Order of pole (three term test) = 4.727e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.049999999999999 y[1] (analytic) = -1.049999999999999 y[1] (numeric) = -1.342970521561672 absolute error = 0.2929705215616727 relative error = 27.90195443444504 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.05 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.05 Order of pole (three term test) = 3.557e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.039999999999999 y[1] (analytic) = -1.039999999999999 y[1] (numeric) = -1.325443787003348 absolute error = 0.285443787003349 relative error = 27.44651798109128 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.04 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.04 Order of pole (three term test) = 8.007e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.029999999999999 y[1] (analytic) = -1.029999999999999 y[1] (numeric) = -1.307404090888833 absolute error = 0.277404090888834 relative error = 26.93243600862468 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.03 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.03 Order of pole (three term test) = 7.99e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.019999999999999 y[1] (analytic) = -1.019999999999999 y[1] (numeric) = -1.28883121878621 absolute error = 0.2688312187862105 relative error = 26.35600184178537 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.02 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.02 Order of pole (three term test) = 5.963e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.009999999999999 y[1] (analytic) = -1.009999999999999 y[1] (numeric) = -1.269703950619013 absolute error = 0.2597039506190135 relative error = 25.71326243752612 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1.01 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.01 Order of pole (three term test) = 8.874e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9999999999999991 y[1] (analytic) = -0.9999999999999991 y[1] (numeric) = -1.250000000027815 absolute error = 0.2500000000278157 relative error = 25.0000000027816 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1 Order of pole (three term test) = 6.584e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9899999999999991 y[1] (analytic) = -0.9899999999999991 y[1] (numeric) = -1.229695949422771 absolute error = 0.2396959494227724 relative error = 24.21171206290633 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 0.99 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.99 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9799999999999991 y[1] (analytic) = -0.9799999999999991 y[1] (numeric) = -1.208767180373585 absolute error = 0.2287671803735862 relative error = 23.34358983403943 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 0.98 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.98 Order of pole (three term test) = 7.182e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9699999999999991 y[1] (analytic) = -0.9699999999999991 y[1] (numeric) = -1.187187798950389 absolute error = 0.2171877989503894 relative error = 22.39049473715357 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 0.97 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.97 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9599999999999991 y[1] (analytic) = -0.9599999999999991 y[1] (numeric) = -1.164930555592614 absolute error = 0.2049305555926149 relative error = 21.34693287423073 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 0.96 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.96 Order of pole (three term test) = 3.869e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9499999999999991 y[1] (analytic) = -0.9499999999999991 y[1] (numeric) = -1.141966759042655 absolute error = 0.1919667590426561 relative error = 20.20702726764803 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 0.95 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.95 Order of pole (three term test) = 2.826e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9399999999999991 y[1] (analytic) = -0.9399999999999991 y[1] (numeric) = -1.118266183836531 absolute error = 0.1782661838365323 relative error = 18.9644876421843 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 0.94 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.94 Order of pole (three term test) = 4.115e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.929999999999999 y[1] (analytic) = -0.929999999999999 y[1] (numeric) = -1.09379697079437 absolute error = 0.1637969707943707 relative error = 17.61257750477106 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 0.93 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.93 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.919999999999999 y[1] (analytic) = -0.919999999999999 y[1] (numeric) = -1.068525519898724 absolute error = 0.1485255198987252 relative error = 16.14407824986145 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 0.92 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.92 Order of pole (three term test) = 4.317e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.909999999999999 y[1] (analytic) = -0.909999999999999 y[1] (numeric) = -1.042416374887887 absolute error = 0.1324163748878879 relative error = 14.55124998768001 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 0.91 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.91 Order of pole (three term test) = 3.11e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.899999999999999 y[1] (analytic) = -0.899999999999999 y[1] (numeric) = -1.015432098823703 absolute error = 0.1154320988237039 relative error = 12.82578875818933 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 0.9 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.9 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.889999999999999 y[1] (analytic) = -0.889999999999999 y[1] (numeric) = -0.9875331398180957 absolute error = 0.09753313981809664 relative error = 10.95877975484233 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 0.89 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.89 Order of pole (three term test) = 6.387e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.879999999999999 y[1] (analytic) = -0.879999999999999 y[1] (numeric) = -0.9586776860186156 absolute error = 0.07867768601861658 relative error = 8.940646138479167 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 3 h = 0.01 Radius of convergence (given) for eq 1 = 0.88 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.88 Order of pole (three term test) = 9.102e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.869999999999999 y[1] (analytic) = -0.869999999999999 y[1] (numeric) = -0.9288215088597197 absolute error = 0.05882150885972071 relative error = 6.761092972381697 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 3 h = 0.01 Radius of convergence (given) for eq 1 = 0.87 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.87 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.859999999999999 y[1] (analytic) = -0.859999999999999 y[1] (numeric) = -0.8979177934819473 absolute error = 0.03791779348194835 relative error = 4.409045753714929 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 3 h = 0.01 Radius of convergence (given) for eq 1 = 0.86 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.86 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.849999999999999 y[1] (analytic) = -0.849999999999999 y[1] (numeric) = -0.8659169551042403 absolute error = 0.01591695510424129 relative error = 1.872582953440154 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 3 h = 0.01 Radius of convergence (given) for eq 1 = 0.85 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.85 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.839999999999999 y[1] (analytic) = -0.839999999999999 y[1] (numeric) = -0.8327664400037389 absolute error = 0.007233559996260075 relative error = 0.8611380947928671 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 3 h = 0.01 Radius of convergence (given) for eq 1 = 0.84 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.84 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.829999999999999 y[1] (analytic) = -0.829999999999999 y[1] (numeric) = -0.7984105096106029 absolute error = 0.03158949038939607 relative error = 3.805962697517603 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 3 h = 0.01 Radius of convergence (given) for eq 1 = 0.83 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.83 Order of pole (three term test) = 3.148e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.819999999999999 y[1] (analytic) = -0.819999999999999 y[1] (numeric) = -0.7627900060606135 absolute error = 0.05720999393938542 relative error = 6.976828529193352 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 3 h = 0.01 Radius of convergence (given) for eq 1 = 0.82 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.82 Order of pole (three term test) = 4.376e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8099999999999989 y[1] (analytic) = -0.8099999999999989 y[1] (numeric) = -0.7258420973630572 absolute error = 0.08415790263694178 relative error = 10.38986452307925 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 0.81 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.81 Order of pole (three term test) = 9.086e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7999999999999989 y[1] (analytic) = -0.7999999999999989 y[1] (numeric) = -0.6875000001328279 absolute error = 0.1124999998671711 relative error = 14.0624999833964 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 0.8 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.8 Order of pole (three term test) = 4.173e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7899999999999989 y[1] (analytic) = -0.7899999999999989 y[1] (numeric) = -0.6476926776005663 absolute error = 0.1423073223994327 relative error = 18.01358511385226 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 0.79 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.79 Order of pole (three term test) = 2.861e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7799999999999989 y[1] (analytic) = -0.7799999999999989 y[1] (numeric) = -0.6063445103491927 absolute error = 0.1736554896508062 relative error = 22.26352431420596 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 0.78 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.78 Order of pole (three term test) = 3.905e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7699999999999989 y[1] (analytic) = -0.7699999999999989 y[1] (numeric) = -0.5633749369250398 absolute error = 0.2066250630749591 relative error = 26.83442377596875 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 0.77 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.77 Order of pole (three term test) = 7.954e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7599999999999989 y[1] (analytic) = -0.7599999999999989 y[1] (numeric) = -0.5186980611318901 absolute error = 0.2413019388681088 relative error = 31.75025511422489 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 0.76 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.76 Order of pole (three term test) = 3.583e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7499999999999989 y[1] (analytic) = -0.7499999999999989 y[1] (numeric) = -0.4722222224307002 absolute error = 0.2777777775692987 relative error = 37.03703700923988 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 0.75 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.75 Order of pole (three term test) = 2.408e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7399999999999989 y[1] (analytic) = -0.7399999999999989 y[1] (numeric) = -0.4238495254298359 absolute error = 0.316150474570163 relative error = 42.72303710407614 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 0.74 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.74 Order of pole (three term test) = 6.439e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7299999999999989 y[1] (analytic) = -0.7299999999999989 y[1] (numeric) = -0.3734753239522769 absolute error = 0.3565246760477219 relative error = 48.83899671886609 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 0.73 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.73 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7199999999999989 y[1] (analytic) = -0.7199999999999989 y[1] (numeric) = -0.3209876545982008 absolute error = 0.3990123454017981 relative error = 55.41838130580538 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 0.72 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.72 Order of pole (three term test) = 2.83e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7099999999999989 y[1] (analytic) = -0.7099999999999989 y[1] (numeric) = -0.2662666140727442 absolute error = 0.4437333859272547 relative error = 62.49765998975428 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 2 h = 0.01 Radius of convergence (given) for eq 1 = 0.71 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.71 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = m1 * 2.0 / x / x / x ; Iterations = 130 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 10 Minutes 0.0 Seconds Percent Done = 100.8 %