##############ECHO OF PROBLEM################# ##############temp/sing7postode.ode################# diff ( y , x , 1 ) = m1 * 5.0 / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=64; max_terms=30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=2.0; x_end=3.0; 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]=6.0; /* 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) { return(1.0/ ( x - 6.0 ) / ( x - 6.0 )/ ( x - 6.0 )/ ( x - 6.0 )/ ( x - 6.0 )) ; } /* 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 estimated_steps = 1000000 step_error = 3.333333333333334e-15 est_needed_step_err = 3.333333333333334e-15 opt_iter = 1 Radius of convergence (given) for eq 1 = 4 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4 Order of pole (three term test) = 1.34e-13 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.0009765625 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 1e-06 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 1 estimated_steps = 1000000 step_error = 3.333333333333334e-15 est_needed_step_err = 3.333333333333334e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 5.254211160650322e-174 estimated_step_error = 5.254211160650322e-174 Double H and LOOP opt_iter = 2 Radius of convergence (given) for eq 1 = 4 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4 Order of pole (three term test) = 1.34e-13 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.0009765625 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 2e-06 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 1 estimated_steps = 500000 step_error = 4.714045207910317e-15 est_needed_step_err = 4.714045207910317e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.52604184650466e-166 estimated_step_error = 3.52604184650466e-166 Double H and LOOP opt_iter = 3 Radius of convergence (given) for eq 1 = 4 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4 Order of pole (three term test) = 1.34e-13 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.0009765625 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 4e-06 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 1 estimated_steps = 250000 step_error = 6.666666666666667e-15 est_needed_step_err = 6.666666666666667e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.366287197015772e-158 estimated_step_error = 2.366287197015772e-158 Double H and LOOP opt_iter = 4 Radius of convergence (given) for eq 1 = 4 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4 Order of pole (three term test) = 1.34e-13 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.0009765625 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 8e-06 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 1 estimated_steps = 125000 step_error = 9.428090415820634e-15 est_needed_step_err = 9.428090415820634e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.587989221482499e-150 estimated_step_error = 1.587989221482499e-150 Double H and LOOP opt_iter = 5 Radius of convergence (given) for eq 1 = 4 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4 Order of pole (three term test) = 1.34e-13 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.0009765625 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 1.6e-05 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 1 estimated_steps = 62500 step_error = 1.333333333333333e-14 est_needed_step_err = 1.333333333333333e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.06568255319317e-142 estimated_step_error = 1.06568255319317e-142 Double H and LOOP opt_iter = 6 Radius of convergence (given) for eq 1 = 4 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4 Order of pole (three term test) = 1.34e-13 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.0009765625 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 3.2e-05 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 1 estimated_steps = 31250 step_error = 1.885618083164127e-14 est_needed_step_err = 1.885618083164127e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 7.15168832658992e-135 estimated_step_error = 7.15168832658992e-135 Double H and LOOP opt_iter = 7 Radius of convergence (given) for eq 1 = 4 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4 Order of pole (three term test) = 1.34e-13 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.0009765625 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 6.4e-05 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 1 estimated_steps = 15625 step_error = 2.666666666666667e-14 est_needed_step_err = 2.666666666666667e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.799435279580277e-127 estimated_step_error = 4.799435279580277e-127 Double H and LOOP opt_iter = 8 Radius of convergence (given) for eq 1 = 4 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4 Order of pole (three term test) = 1.34e-13 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.0009765625 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 0.000128 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 1 estimated_steps = 7812.5 step_error = 3.771236166328254e-14 est_needed_step_err = 3.771236166328254e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.220871307371706e-119 estimated_step_error = 3.220871307371706e-119 Double H and LOOP opt_iter = 9 Radius of convergence (given) for eq 1 = 4 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4 Order of pole (three term test) = 1.34e-13 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.0009765625 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 0.000256 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 1 estimated_steps = 3906.25 step_error = 5.333333333333334e-14 est_needed_step_err = 5.333333333333334e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.161523449266746e-111 estimated_step_error = 2.161523449266746e-111 Double H and LOOP opt_iter = 10 Radius of convergence (given) for eq 1 = 4 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4 Order of pole (three term test) = 1.34e-13 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.0009765625 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 0.000512 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 1 estimated_steps = 1953.125 step_error = 7.542472332656507e-14 est_needed_step_err = 7.542472332656507e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.450618533821174e-103 estimated_step_error = 1.450618533821174e-103 Double H and LOOP opt_iter = 11 Radius of convergence (given) for eq 1 = 4 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4 Order of pole (three term test) = 1.34e-13 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.0009765625 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 0.001024 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 1 estimated_steps = 976.5625 step_error = 1.066666666666667e-13 est_needed_step_err = 1.066666666666667e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 9.735536224832558e-96 estimated_step_error = 9.735536224832558e-96 Double H and LOOP opt_iter = 12 Radius of convergence (given) for eq 1 = 4 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4 Order of pole (three term test) = 1.34e-13 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.0009765625 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 0.002048 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 1 estimated_steps = 488.28125 step_error = 1.508494466531301e-13 est_needed_step_err = 1.508494466531301e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 6.534213266775494e-88 estimated_step_error = 6.534213266775494e-88 Double H and LOOP opt_iter = 13 Radius of convergence (given) for eq 1 = 4 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4 Order of pole (three term test) = 1.34e-13 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.0009765625 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 0.004096 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 1 estimated_steps = 244.140625 step_error = 2.133333333333333e-13 est_needed_step_err = 2.133333333333333e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.386117821653052e-80 estimated_step_error = 4.386117821653052e-80 Double H and LOOP opt_iter = 14 Radius of convergence (given) for eq 1 = 4 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4 Order of pole (three term test) = 1.34e-13 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.0009765625 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 0.008192 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 1 estimated_steps = 122.0703125 step_error = 3.016988933062603e-13 est_needed_step_err = 3.016988933062603e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.944926520833646e-72 estimated_step_error = 2.944926520833646e-72 Double H and LOOP opt_iter = 15 SETTING H FOR DISPLAY INTERVAL Radius of convergence (given) for eq 1 = 4 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.441 Order of pole (three term test) = 1.34e-13 NO COMPLEX POLE (six term test) for Equation 1 START of Soultion TOP MAIN SOLVE Loop x[1] = 2 y[1] (analytic) = -0.0009765625 y[1] (numeric) = -0.0009765625 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 4 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4 Order of pole (three term test) = 1.138e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.01 y[1] (analytic) = -0.0009888616207243467 y[1] (numeric) = -0.0009888616207243217 absolute error = 2.49366499671666e-17 relative error = 2.521753240751761e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.99 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.99 Order of pole (three term test) = 1.979e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.02 y[1] (analytic) = -0.001001347089010798 y[1] (numeric) = -0.001001347089010747 absolute error = 5.052382123782451e-17 relative error = 5.045585271310427e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.98 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.98 Order of pole (three term test) = 1.72e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.029999999999999 y[1] (analytic) = -0.001014022207165268 y[1] (numeric) = -0.001014022207165191 absolute error = 7.697835424647081e-17 relative error = 7.591387417605608e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.97 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.97 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.039999999999999 y[1] (analytic) = -0.001026890344544286 y[1] (numeric) = -0.001026890344544182 absolute error = 1.043002489931055e-16 relative error = 1.015690229704048e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 3.96 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.96 Order of pole (three term test) = 2.594e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.049999999999999 y[1] (analytic) = -0.001039954939090473 y[1] (numeric) = -0.001039954939090341 absolute error = 1.316221437397402e-16 relative error = 1.265652373888957e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 3.95 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.95 Order of pole (three term test) = 1.126e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.059999999999999 y[1] (analytic) = -0.001053219498907187 y[1] (numeric) = -0.001053219498907027 absolute error = 1.604619215278547e-16 relative error = 1.523537322413312e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 3.94 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.94 Order of pole (three term test) = 9.767e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.069999999999999 y[1] (analytic) = -0.001066687603873444 y[1] (numeric) = -0.001066687603873254 absolute error = 1.899522206194604e-16 relative error = 1.780767114286228e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 3.93 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.93 Order of pole (three term test) = 2.541e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.079999999999998 y[1] (analytic) = -0.001080362907300241 y[1] (numeric) = -0.00108036290730002 absolute error = 2.205267218835516e-16 relative error = 2.041228187245285e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 3.92 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.92 Order of pole (three term test) = 7.345e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.089999999999998 y[1] (analytic) = -0.00109424913762946 y[1] (numeric) = -0.001094249137629208 absolute error = 2.513180635821399e-16 relative error = 2.296717035816779e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 3.91 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.91 Order of pole (three term test) = 2.546e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.099999999999998 y[1] (analytic) = -0.001108350100176558 y[1] (numeric) = -0.001108350100176275 absolute error = 2.834104478877109e-16 relative error = 2.557048064890003e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 3.9 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.9 Order of pole (three term test) = 2.206e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.109999999999998 y[1] (analytic) = -0.001122669678918286 y[1] (numeric) = -0.001122669678917969 absolute error = 3.165870343657673e-16 relative error = 2.819948203026247e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 3.89 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.89 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.119999999999997 y[1] (analytic) = -0.001137211838326714 y[1] (numeric) = -0.001137211838326364 absolute error = 3.50414142147315e-16 relative error = 3.081344480751379e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 3.88 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.88 Order of pole (three term test) = 8.271e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.129999999999997 y[1] (analytic) = -0.001151980625250907 y[1] (numeric) = -0.001151980625250521 absolute error = 3.851086116668512e-16 relative error = 3.343012922487067e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 3.87 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.87 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.139999999999997 y[1] (analytic) = -0.001166980170847584 y[1] (numeric) = -0.001166980170847163 absolute error = 4.211041237933699e-16 relative error = 3.608494251342076e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 3.86 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.86 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.149999999999997 y[1] (analytic) = -0.001182214692562199 y[1] (numeric) = -0.001182214692561741 absolute error = 4.581838380923742e-16 relative error = 3.875639856068427e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 3.85 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.85 Order of pole (three term test) = 1.071e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.159999999999997 y[1] (analytic) = -0.001197688496161876 y[1] (numeric) = -0.001197688496161379 absolute error = 4.961309141293668e-16 relative error = 4.142403602600116e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 3.84 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.84 Order of pole (three term test) = 2.778e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.169999999999996 y[1] (analytic) = -0.001213405977821693 y[1] (numeric) = -0.001213405977821159 absolute error = 5.349453519043479e-16 relative error = 4.408626310418231e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 3.83 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.83 Order of pole (three term test) = 8.001e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.179999999999996 y[1] (analytic) = -0.001229371626265886 y[1] (numeric) = -0.001229371626265311 absolute error = 5.750608322863116e-16 relative error = 4.677681020124166e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 3.82 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.82 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.189999999999996 y[1] (analytic) = -0.001245590024965526 y[1] (numeric) = -0.001245590024964909 absolute error = 6.16911036144252e-16 relative error = 4.952761532923535e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 3.81 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.81 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.199999999999996 y[1] (analytic) = -0.001262065854394345 y[1] (numeric) = -0.001262065854393685 absolute error = 6.596286017401809e-16 relative error = 5.226578307648861e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 3.8 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.8 Order of pole (three term test) = 2.061e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.209999999999996 y[1] (analytic) = -0.001278803894344402 y[1] (numeric) = -0.001278803894343699 absolute error = 7.032135290740982e-16 relative error = 5.498994272570706e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 3.79 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.79 Order of pole (three term test) = 8.889e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.219999999999995 y[1] (analytic) = -0.001295809026303324 y[1] (numeric) = -0.001295809026302575 absolute error = 7.483163394494952e-16 relative error = 5.774896796206827e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 3.78 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.78 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.229999999999995 y[1] (analytic) = -0.00131308623589494 y[1] (numeric) = -0.001313086235894145 absolute error = 7.95153873300869e-16 relative error = 6.055610450892649e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 3.77 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.77 Order of pole (three term test) = 1.322e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.239999999999995 y[1] (analytic) = -0.001330640615385178 y[1] (numeric) = -0.001330640615384335 absolute error = 8.432924497592253e-16 relative error = 6.337492182403579e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 3.76 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.76 Order of pole (three term test) = 1.139e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.249999999999995 y[1] (analytic) = -0.001348477366255134 y[1] (numeric) = -0.001348477366254242 absolute error = 8.922983879555701e-16 relative error = 6.617080940954746e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 3.75 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.75 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.259999999999994 y[1] (analytic) = -0.001366601801843317 y[1] (numeric) = -0.001366601801842373 absolute error = 9.43472730496886e-16 relative error = 6.903786671613483e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 3.74 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.74 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.269999999999994 y[1] (analytic) = -0.001385019350059096 y[1] (numeric) = -0.001385019350058101 absolute error = 9.952975943416931e-16 relative error = 7.186163820016129e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 3.73 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.73 Order of pole (three term test) = 7.274e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.279999999999994 y[1] (analytic) = -0.001403735556169506 y[1] (numeric) = -0.001403735556168457 absolute error = 1.049290862531471e-15 relative error = 7.474989558537375e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 3.72 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.72 Order of pole (three term test) = 1.252e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.289999999999994 y[1] (analytic) = -0.001422756085661548 y[1] (numeric) = -0.001422756085660443 absolute error = 1.104802013762729e-15 relative error = 7.765224305816428e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 3.71 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.71 Order of pole (three term test) = 3.23e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.299999999999994 y[1] (analytic) = -0.001442086727182285 y[1] (numeric) = -0.001442086727181123 absolute error = 1.161831048035467e-15 relative error = 8.056596223623704e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 3.7 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.7 Order of pole (three term test) = 9.256e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.309999999999993 y[1] (analytic) = -0.001461733395559046 y[1] (numeric) = -0.001461733395557825 absolute error = 1.221028486653175e-15 relative error = 8.353291307175668e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 3.69 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.69 Order of pole (three term test) = 7.954e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.319999999999993 y[1] (analytic) = -0.001481702134902135 y[1] (numeric) = -0.001481702134900853 absolute error = 1.281743808312363e-15 relative error = 8.650482294115217e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 3.68 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.68 Order of pole (three term test) = 1.367e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.329999999999993 y[1] (analytic) = -0.001501999121792557 y[1] (numeric) = -0.001501999121791213 absolute error = 1.344627534316523e-15 relative error = 8.952252466777611e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 3.67 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.67 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.339999999999993 y[1] (analytic) = -0.001522630668557311 y[1] (numeric) = -0.001522630668555902 absolute error = 1.409029143362162e-15 relative error = 9.253912800122521e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 3.66 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.66 Order of pole (three term test) = 2.014e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.349999999999993 y[1] (analytic) = -0.001543603226634907 y[1] (numeric) = -0.001543603226633432 absolute error = 1.475382316318274e-15 relative error = 9.558041152418707e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 3.65 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.65 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.359999999999992 y[1] (analytic) = -0.001564923390033854 y[1] (numeric) = -0.00156492339003231 absolute error = 1.543903893619358e-15 relative error = 9.865683543690655e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 3.64 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.64 Order of pole (three term test) = 7.41e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.369999999999992 y[1] (analytic) = -0.001586597898886945 y[1] (numeric) = -0.00158659789888533 absolute error = 1.614593875265413e-15 relative error = 1.017645287692684e-10 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.63 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.63 Order of pole (three term test) = 1.27e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.379999999999992 y[1] (analytic) = -0.001608633643104274 y[1] (numeric) = -0.001608633643102587 absolute error = 1.687452261256439e-15 relative error = 1.048997245886306e-10 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.62 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.62 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.389999999999992 y[1] (analytic) = -0.001631037666128002 y[1] (numeric) = -0.00163103766612624 absolute error = 1.762262211157939e-15 relative error = 1.080454638022834e-10 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.61 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.61 Order of pole (three term test) = 9.324e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.399999999999991 y[1] (analytic) = -0.001653817168792 y[1] (numeric) = -0.001653817168790161 absolute error = 1.839457405838907e-15 relative error = 1.112249552459601e-10 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.6 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.6 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.409999999999991 y[1] (analytic) = -0.001676979513289611 y[1] (numeric) = -0.001676979513287691 absolute error = 1.919688366602834e-15 relative error = 1.144729766457981e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.59 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.59 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.419999999999991 y[1] (analytic) = -0.001700532227252846 y[1] (numeric) = -0.001700532227250844 absolute error = 2.001870891277235e-15 relative error = 1.177202559995697e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.58 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.58 Order of pole (three term test) = 2.337e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.429999999999991 y[1] (analytic) = -0.001724483007946507 y[1] (numeric) = -0.00172448300794442 absolute error = 2.086655501165602e-15 relative error = 1.210018012094167e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.57 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.57 Order of pole (three term test) = 9.992e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.439999999999991 y[1] (analytic) = -0.00174883972658076 y[1] (numeric) = -0.001748839726578586 absolute error = 2.174042196267933e-15 relative error = 1.24313404094411e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.56 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.56 Order of pole (three term test) = 8.539e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.44999999999999 y[1] (analytic) = -0.001773610432745896 y[1] (numeric) = -0.001773610432743631 absolute error = 2.264464657453225e-15 relative error = 1.276754249774789e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.55 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.55 Order of pole (three term test) = 2.188e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.45999999999999 y[1] (analytic) = -0.001798803358973056 y[1] (numeric) = -0.001798803358970698 absolute error = 2.357489203852481e-15 relative error = 1.31058750368266e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.54 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.54 Order of pole (three term test) = 1.246e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.46999999999999 y[1] (analytic) = -0.001824426925424902 y[1] (numeric) = -0.001824426925422448 absolute error = 2.453332675900199e-15 relative error = 1.344714135551813e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.53 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.53 Order of pole (three term test) = 4.253e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.47999999999999 y[1] (analytic) = -0.001850489744720299 y[1] (numeric) = -0.001850489744717746 absolute error = 2.552645594899872e-15 relative error = 1.379443253972588e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.52 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.52 Order of pole (three term test) = 9.07e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.48999999999999 y[1] (analytic) = -0.001877000626897229 y[1] (numeric) = -0.001877000626894574 absolute error = 2.654994279982503e-15 relative error = 1.414487689528018e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.51 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.51 Order of pole (three term test) = 7.735e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.499999999999989 y[1] (analytic) = -0.001903968584518326 y[1] (numeric) = -0.001903968584515566 absolute error = 2.760161890713597e-15 relative error = 1.449688778038254e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.5 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.5 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.509999999999989 y[1] (analytic) = -0.001931402837923529 y[1] (numeric) = -0.00193140283792066 absolute error = 2.869232629265639e-15 relative error = 1.485569231300488e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.49 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.49 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.519999999999989 y[1] (analytic) = -0.001959312820634546 y[1] (numeric) = -0.001959312820631564 absolute error = 2.981989655204131e-15 relative error = 1.521956894171896e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.48 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.48 Order of pole (three term test) = 2.87e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.529999999999989 y[1] (analytic) = -0.001987708184915964 y[1] (numeric) = -0.001987708184912866 absolute error = 3.097782447225583e-15 relative error = 1.558469432652938e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.47 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.47 Order of pole (three term test) = 1.628e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.539999999999988 y[1] (analytic) = -0.002016598807498014 y[1] (numeric) = -0.002016598807494797 absolute error = 3.217044686198989e-15 relative error = 1.595282449953624e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.46 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.46 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.549999999999988 y[1] (analytic) = -0.002045994795466178 y[1] (numeric) = -0.002045994795462837 absolute error = 3.340643733862336e-15 relative error = 1.632772351750374e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.45 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.45 Order of pole (three term test) = 1.178e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.559999999999988 y[1] (analytic) = -0.002075906492322994 y[1] (numeric) = -0.002075906492319525 absolute error = 3.46901327108462e-15 relative error = 1.671083588742335e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.44 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.44 Order of pole (three term test) = 1.001e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.569999999999988 y[1] (analytic) = -0.002106344484227627 y[1] (numeric) = -0.002106344484224027 absolute error = 3.600418574389863e-15 relative error = 1.709320864345746e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.43 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.43 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.579999999999988 y[1] (analytic) = -0.002137319606418955 y[1] (numeric) = -0.002137319606415219 absolute error = 3.736160686385048e-15 relative error = 1.748058959064586e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.42 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.42 Order of pole (three term test) = 7.224e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.589999999999987 y[1] (analytic) = -0.00216884294982811 y[1] (numeric) = -0.002168842949824233 absolute error = 3.877106968808164e-15 relative error = 1.787638412968279e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.41 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.41 Order of pole (three term test) = 2.452e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.599999999999987 y[1] (analytic) = -0.002200925867886654 y[1] (numeric) = -0.002200925867882632 absolute error = 4.022390059921221e-15 relative error = 1.827589978659095e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.4 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.4 Order of pole (three term test) = 2.081e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.609999999999987 y[1] (analytic) = -0.002233579983536782 y[1] (numeric) = -0.002233579983532609 absolute error = 4.172877321462209e-15 relative error = 1.868246202159562e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.39 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.39 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.619999999999987 y[1] (analytic) = -0.002266817196450134 y[1] (numeric) = -0.002266817196445807 absolute error = 4.327267710824145e-15 relative error = 1.90896192141153e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.38 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.38 Order of pole (three term test) = 7.476e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.629999999999987 y[1] (analytic) = -0.002300649690462113 y[1] (numeric) = -0.002300649690457626 absolute error = 4.487295951483006e-15 relative error = 1.950447288905456e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.37 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.37 Order of pole (three term test) = 1.267e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.639999999999986 y[1] (analytic) = -0.002335089941228757 y[1] (numeric) = -0.002335089941224104 absolute error = 4.652962043438791e-15 relative error = 1.992626477158451e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.36 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.36 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.649999999999986 y[1] (analytic) = -0.002370150724113549 y[1] (numeric) = -0.002370150724108726 absolute error = 4.823398624953512e-15 relative error = 2.035059870193484e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.35 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.35 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.659999999999986 y[1] (analytic) = -0.002405845122311785 y[1] (numeric) = -0.002405845122306784 absolute error = 5.000774100372141e-15 relative error = 2.078593527902112e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.34 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.34 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.669999999999986 y[1] (analytic) = -0.002442186535220354 y[1] (numeric) = -0.002442186535215171 absolute error = 5.182920065349705e-15 relative error = 2.122245778773839e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.33 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.33 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.679999999999986 y[1] (analytic) = -0.002479188687061178 y[1] (numeric) = -0.002479188687055806 absolute error = 5.371571243362183e-15 relative error = 2.166664954303912e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.32 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.32 Order of pole (three term test) = 1.097e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.689999999999985 y[1] (analytic) = -0.002516865635766715 y[1] (numeric) = -0.002516865635761149 absolute error = 5.566727634409574e-15 relative error = 2.211769891607176e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.31 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.31 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.699999999999985 y[1] (analytic) = -0.002555231782136383 y[1] (numeric) = -0.002555231782130615 absolute error = 5.767955557622884e-15 relative error = 2.257312075541108e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.3 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.3 Order of pole (three term test) = 7.819e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.709999999999985 y[1] (analytic) = -0.002594301879272969 y[1] (numeric) = -0.002594301879266993 absolute error = 5.9761223747401e-15 relative error = 2.30355704649717e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.29 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.29 Order of pole (three term test) = 1.319e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.719999999999985 y[1] (analytic) = -0.002634091042308498 y[1] (numeric) = -0.002634091042302306 absolute error = 6.192095447499213e-15 relative error = 2.350752251172194e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.28 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.28 Order of pole (three term test) = 1.113e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.729999999999984 y[1] (analytic) = -0.002674614758429342 y[1] (numeric) = -0.002674614758422927 absolute error = 6.414573733293238e-15 relative error = 2.398316883983761e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.27 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.27 Order of pole (three term test) = 1.876e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.739999999999984 y[1] (analytic) = -0.002715888897210742 y[1] (numeric) = -0.002715888897204097 absolute error = 6.645291955598154e-15 relative error = 2.446820251897258e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.26 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.26 Order of pole (three term test) = 7.9e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.749999999999984 y[1] (analytic) = -0.002757929721271273 y[1] (numeric) = -0.002757929721264389 absolute error = 6.883382752675971e-15 relative error = 2.495851398817756e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.25 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.25 Order of pole (three term test) = 1.33e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.759999999999984 y[1] (analytic) = -0.002800753897258174 y[1] (numeric) = -0.002800753897251043 absolute error = 7.130580848002666e-15 relative error = 2.545950522458692e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.24 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.24 Order of pole (three term test) = 2.239e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.769999999999984 y[1] (analytic) = -0.002844378507174894 y[1] (numeric) = -0.002844378507167509 absolute error = 7.385151518102262e-15 relative error = 2.596402517974787e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.23 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.23 Order of pole (three term test) = 1.883e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.779999999999983 y[1] (analytic) = -0.002888821060062614 y[1] (numeric) = -0.002888821060054965 absolute error = 7.648829486450737e-15 relative error = 2.647733912008019e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.22 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.22 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.789999999999983 y[1] (analytic) = -0.002934099504047941 y[1] (numeric) = -0.002934099504040019 absolute error = 7.922048433917084e-15 relative error = 2.699993106228221e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.21 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.21 Order of pole (three term test) = 1.33e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.799999999999983 y[1] (analytic) = -0.002980232238769452 y[1] (numeric) = -0.002980232238761247 absolute error = 8.204808360501303e-15 relative error = 2.753076842054798e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.2 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.2 Order of pole (three term test) = 2.233e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.809999999999983 y[1] (analytic) = -0.003027238128196223 y[1] (numeric) = -0.003027238128187726 absolute error = 8.49754294707239e-15 relative error = 2.807028250577579e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.19 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.19 Order of pole (three term test) = 9.37e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.819999999999983 y[1] (analytic) = -0.003075136513852003 y[1] (numeric) = -0.003075136513843202 absolute error = 8.800252193630342e-15 relative error = 2.86174358568781e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.18 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.18 Order of pole (three term test) = 1.572e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.829999999999982 y[1] (analytic) = -0.003123947228459173 y[1] (numeric) = -0.003123947228450059 absolute error = 9.11380346191315e-15 relative error = 2.917399941614366e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.17 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.17 Order of pole (three term test) = 1.318e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.839999999999982 y[1] (analytic) = -0.003173690610017227 y[1] (numeric) = -0.003173690610007789 absolute error = 9.437329390182825e-15 relative error = 2.973613546448247e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.16 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.16 Order of pole (three term test) = 2.208e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.849999999999982 y[1] (analytic) = -0.003224387516331014 y[1] (numeric) = -0.00322438751632124 absolute error = 9.773865744522325e-15 relative error = 3.031231728512543e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.15 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.15 Order of pole (three term test) = 2.773e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.859999999999982 y[1] (analytic) = -0.003276059340004619 y[1] (numeric) = -0.003276059339994496 absolute error = 1.012254516319366e-14 relative error = 3.089854032735376e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.14 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.14 Order of pole (three term test) = 1.547e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.869999999999981 y[1] (analytic) = -0.003328728023917339 y[1] (numeric) = -0.003328728023906857 absolute error = 1.048250028445885e-14 relative error = 3.149100860491076e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.13 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.13 Order of pole (three term test) = 1.294e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.879999999999981 y[1] (analytic) = -0.003382416077198877 y[1] (numeric) = -0.003382416077188021 absolute error = 1.085589951266286e-14 relative error = 3.209510381009391e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.12 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.12 Order of pole (three term test) = 1.082e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.889999999999981 y[1] (analytic) = -0.003437146591721496 y[1] (numeric) = -0.003437146591710253 absolute error = 1.124317652867468e-14 relative error = 3.27107856143067e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.11 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.11 Order of pole (three term test) = 1.808e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.899999999999981 y[1] (analytic) = -0.003492943259127625 y[1] (numeric) = -0.003492943259115982 absolute error = 1.164346397075633e-14 relative error = 3.333424881818528e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.1 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.1 Order of pole (three term test) = 7.547e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.909999999999981 y[1] (analytic) = -0.003549830388412087 y[1] (numeric) = -0.003549830388400028 absolute error = 1.205893024325277e-14 relative error = 3.397044062335324e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.09 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.09 Order of pole (three term test) = 1.26e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.91999999999998 y[1] (analytic) = -0.003607832924078877 y[1] (numeric) = -0.003607832924066389 absolute error = 1.248827430355703e-14 relative error = 3.461433654593481e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.08 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.08 Order of pole (three term test) = 3.152e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.92999999999998 y[1] (analytic) = -0.003666976464893243 y[1] (numeric) = -0.003666976464880309 absolute error = 1.293453191775207e-14 relative error = 3.527301590720362e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.07 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.07 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.93999999999998 y[1] (analytic) = -0.00372728728325056 y[1] (numeric) = -0.003727287283237164 absolute error = 1.33959683623619e-14 relative error = 3.594026256725588e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.06 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.06 Order of pole (three term test) = 7.294e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.94999999999998 y[1] (analytic) = -0.003788792345184441 y[1] (numeric) = -0.003788792345170565 absolute error = 1.387518572260049e-14 relative error = 3.662165792811493e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.05 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.05 Order of pole (three term test) = 1.214e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.95999999999998 y[1] (analytic) = -0.003851519331037321 y[1] (numeric) = -0.003851519331022949 absolute error = 1.437218399846785e-14 relative error = 3.731562213033738e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.04 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.04 Order of pole (three term test) = 2.021e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.969999999999979 y[1] (analytic) = -0.003915496656817763 y[1] (numeric) = -0.003915496656802876 absolute error = 1.488652950909497e-14 relative error = 3.801951786416205e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.03 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.03 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.979999999999979 y[1] (analytic) = -0.00398075349626963 y[1] (numeric) = -0.00398075349625421 absolute error = 1.541995697795784e-14 relative error = 3.873627691945232e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.02 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.02 Order of pole (three term test) = 2.095e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.989999999999979 y[1] (analytic) = -0.004047319803679338 y[1] (numeric) = -0.004047319803663364 absolute error = 1.597420112853243e-14 relative error = 3.946859132310375e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3.01 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.01 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.999999999999979 y[1] (analytic) = -0.004115226337448414 y[1] (numeric) = -0.004115226337431864 absolute error = 1.655012932255673e-14 relative error = 4.021681425381427e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 3 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3 Order of pole (three term test) = 9.625e-14 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = m1 * 5.0 / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) ; Iterations = 101 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 10 Minutes 0.0 Seconds Percent Done = 102 %