##############ECHO OF PROBLEM################# ##############temp/sing6_backpostode.ode################# diff ( y , x , 1 ) = m1 * 2.0 / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=30; max_terms=20; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=3.0; x_end=2.0; 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; array_given_rad_poles[1][2]=0.0; array_given_ord_poles[1][1]=3.0; 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) { return(1.0/ ( 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 = 5e-15 est_needed_step_err = 5e-15 opt_iter = 1 Radius of convergence (given) for eq 1 = 3 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.1111111111111111 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 = 5e-15 est_needed_step_err = 5e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.839701975293304e-105 estimated_step_error = 4.839701975293304e-105 Double H and LOOP opt_iter = 2 Radius of convergence (given) for eq 1 = 3 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.1111111111111111 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 = 7.071067811865475e-15 est_needed_step_err = 7.071067811865475e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.171746588999422e-100 estimated_step_error = 3.171746588999422e-100 Double H and LOOP opt_iter = 3 Radius of convergence (given) for eq 1 = 3 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.1111111111111111 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 = 1e-14 est_needed_step_err = 1e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.078635192446023e-95 estimated_step_error = 2.078635192446023e-95 Double H and LOOP opt_iter = 4 Radius of convergence (given) for eq 1 = 3 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.1111111111111111 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 = 1.414213562373095e-14 est_needed_step_err = 1.414213562373095e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.36225350497467e-90 estimated_step_error = 1.36225350497467e-90 Double H and LOOP opt_iter = 5 Radius of convergence (given) for eq 1 = 3 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.1111111111111111 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 = 2e-14 est_needed_step_err = 2e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 8.927653366886491e-86 estimated_step_error = 8.927653366886491e-86 Double H and LOOP opt_iter = 6 Radius of convergence (given) for eq 1 = 3 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.1111111111111111 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 = 2.82842712474619e-14 est_needed_step_err = 2.82842712474619e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 5.850812226168499e-81 estimated_step_error = 5.850812226168499e-81 Double H and LOOP opt_iter = 7 Radius of convergence (given) for eq 1 = 3 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.1111111111111111 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 = 4e-14 est_needed_step_err = 4e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.834369053610431e-76 estimated_step_error = 3.834369053610431e-76 Double H and LOOP opt_iter = 8 Radius of convergence (given) for eq 1 = 3 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.1111111111111111 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 = 5.65685424949238e-14 est_needed_step_err = 5.65685424949238e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.51286687601747e-71 estimated_step_error = 2.51286687601747e-71 Double H and LOOP opt_iter = 9 Radius of convergence (given) for eq 1 = 3 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.1111111111111111 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 = 8e-14 est_needed_step_err = 8e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.646799371389444e-66 estimated_step_error = 1.646799371389444e-66 Double H and LOOP opt_iter = 10 Radius of convergence (given) for eq 1 = 3 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.1111111111111111 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 = 1.131370849898476e-13 est_needed_step_err = 1.131370849898476e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.07920310038136e-61 estimated_step_error = 1.07920310038136e-61 Double H and LOOP opt_iter = 11 Radius of convergence (given) for eq 1 = 3 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.1111111111111111 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 = 1.6e-13 est_needed_step_err = 1.6e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 7.072097498250659e-57 estimated_step_error = 7.072097498250659e-57 Double H and LOOP opt_iter = 12 Radius of convergence (given) for eq 1 = 3 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.1111111111111111 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 = 2.262741699796952e-13 est_needed_step_err = 2.262741699796952e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.634025585524804e-52 estimated_step_error = 4.634025585524804e-52 Double H and LOOP opt_iter = 13 Radius of convergence (given) for eq 1 = 3 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.1111111111111111 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 = 3.2e-13 est_needed_step_err = 3.2e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.035980000758586e-47 estimated_step_error = 3.035980000758586e-47 Double H and LOOP opt_iter = 14 Radius of convergence (given) for eq 1 = 3 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.1111111111111111 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 = 4.525483399593904e-13 est_needed_step_err = 4.525483399593904e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.988383126485802e-42 estimated_step_error = 1.988383126485802e-42 Double H and LOOP opt_iter = 15 SETTING H FOR DISPLAY INTERVAL Radius of convergence (given) for eq 1 = 3 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.831 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] = 3 y[1] (analytic) = 0.1111111111111111 y[1] (numeric) = 0.1111111111111111 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 = 3 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3 Order of pole (three term test) = 2.408e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.99 y[1] (analytic) = 0.1103740576814826 y[1] (numeric) = 0.1103740576814822 absolute error = 3.33066907387547e-16 relative error = 3.017619487621914e-13 % Desired digits = 10 Estimated correct digits = 13 Correct digits = 15 h = -0.01 Radius of convergence (given) for eq 1 = 3.01 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.01 Order of pole (three term test) = 2.661e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.98 y[1] (analytic) = 0.109644313845884 y[1] (numeric) = 0.1096443138458833 absolute error = 6.38378239159465e-16 relative error = 5.822264892429983e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = -0.01 Radius of convergence (given) for eq 1 = 3.02 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.02 Order of pole (three term test) = 2.939e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.970000000000001 y[1] (analytic) = 0.1089217832674357 y[1] (numeric) = 0.1089217832674348 absolute error = 9.298117831235686e-16 relative error = 8.536508999679168e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = -0.01 Radius of convergence (given) for eq 1 = 3.03 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.03 Order of pole (three term test) = 3.245e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.960000000000001 y[1] (analytic) = 0.1082063711911358 y[1] (numeric) = 0.1082063711911346 absolute error = 1.235123114895487e-15 relative error = 1.141451377861812e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = -0.01 Radius of convergence (given) for eq 1 = 3.04 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.04 Order of pole (three term test) = 3.583e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.950000000000001 y[1] (analytic) = 0.1074979844127923 y[1] (numeric) = 0.1074979844127908 absolute error = 1.52655665885959e-15 relative error = 1.420079331904133e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = -0.01 Radius of convergence (given) for eq 1 = 3.05 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.05 Order of pole (three term test) = 3.954e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.940000000000001 y[1] (analytic) = 0.1067965312486651 y[1] (numeric) = 0.1067965312486633 absolute error = 1.790234627208065e-15 relative error = 1.676304095532542e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = -0.01 Radius of convergence (given) for eq 1 = 3.06 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.06 Order of pole (three term test) = 4.362e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.930000000000001 y[1] (analytic) = 0.1061019215057986 y[1] (numeric) = 0.1061019215057965 absolute error = 2.067790383364354e-15 relative error = 1.948871758417068e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = -0.01 Radius of convergence (given) for eq 1 = 3.07 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.07 Order of pole (three term test) = 2.405e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.920000000000002 y[1] (analytic) = 0.1054140664530276 y[1] (numeric) = 0.1054140664530253 absolute error = 2.331468351712829e-15 relative error = 2.211724137168856e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = -0.01 Radius of convergence (given) for eq 1 = 3.08 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.08 Order of pole (three term test) = 7.954e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.910000000000002 y[1] (analytic) = 0.1047328787926395 y[1] (numeric) = 0.1047328787926369 absolute error = 2.609024107869118e-15 relative error = 2.491122308434509e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = -0.01 Radius of convergence (given) for eq 1 = 3.09 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.09 Order of pole (three term test) = 2.922e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.900000000000002 y[1] (analytic) = 0.1040582726326744 y[1] (numeric) = 0.1040582726326716 absolute error = 2.844946500601964e-15 relative error = 2.733993587078483e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = -0.01 Radius of convergence (given) for eq 1 = 3.1 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.1 Order of pole (three term test) = 6.439e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.890000000000002 y[1] (analytic) = 0.1033901634598486 y[1] (numeric) = 0.1033901634598455 absolute error = 3.094746681142624e-15 relative error = 2.993269937467953e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = -0.01 Radius of convergence (given) for eq 1 = 3.11 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.11 Order of pole (three term test) = 7.093e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.880000000000003 y[1] (analytic) = 0.1027284681130837 y[1] (numeric) = 0.1027284681130803 absolute error = 3.33066907387547e-15 relative error = 3.242206503273332e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = -0.01 Radius of convergence (given) for eq 1 = 3.12 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.12 Order of pole (three term test) = 7.81e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.870000000000003 y[1] (analytic) = 0.1020731047576276 y[1] (numeric) = 0.102073104757624 absolute error = 3.566591466608315e-15 relative error = 3.494153993921495e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = -0.01 Radius of convergence (given) for eq 1 = 3.13 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.13 Order of pole (three term test) = 4.298e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.860000000000003 y[1] (analytic) = 0.1014239928597511 y[1] (numeric) = 0.1014239928597473 absolute error = 3.802513859341161e-15 relative error = 3.749126564756004e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = -0.01 Radius of convergence (given) for eq 1 = 3.14 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.14 Order of pole (three term test) = 4.73e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.850000000000003 y[1] (analytic) = 0.1007810531620058 y[1] (numeric) = 0.1007810531620017 absolute error = 4.038436252074007e-15 relative error = 4.007138371120425e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = -0.01 Radius of convergence (given) for eq 1 = 3.15 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.15 Order of pole (three term test) = 2.602e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.840000000000003 y[1] (analytic) = 0.1001442076590292 y[1] (numeric) = 0.100144207659025 absolute error = 4.260480856999038e-15 relative error = 4.25434576456495e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = -0.01 Radius of convergence (given) for eq 1 = 3.16 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.16 Order of pole (three term test) = 5.722e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.830000000000004 y[1] (analytic) = 0.09951337957388394 y[1] (numeric) = 0.09951337957387946 absolute error = 4.48252546192407e-15 relative error = 4.504445011432868e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = -0.01 Radius of convergence (given) for eq 1 = 3.17 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.17 Order of pole (three term test) = 3.146e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.820000000000004 y[1] (analytic) = 0.09888849333491578 y[1] (numeric) = 0.09888849333491111 absolute error = 4.676814491233472e-15 relative error = 4.729381886114925e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = -0.01 Radius of convergence (given) for eq 1 = 3.18 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.18 Order of pole (three term test) = 3.457e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.810000000000004 y[1] (analytic) = 0.09826947455311982 y[1] (numeric) = 0.09826947455311492 absolute error = 4.898859096158503e-15 relative error = 4.985128004841841e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = -0.01 Radius of convergence (given) for eq 1 = 3.19 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.19 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.800000000000004 y[1] (analytic) = 0.09765625000000026 y[1] (numeric) = 0.09765624999999517 absolute error = 5.093148125467906e-15 relative error = 5.215383680479122e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = -0.01 Radius of convergence (given) for eq 1 = 3.2 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.2 Order of pole (three term test) = 4.173e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.790000000000004 y[1] (analytic) = 0.09704874758591267 y[1] (numeric) = 0.0970487475859074 absolute error = 5.273559366969494e-15 relative error = 5.433928307319021e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = -0.01 Radius of convergence (given) for eq 1 = 3.21 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.21 Order of pole (three term test) = 9.165e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.780000000000005 y[1] (analytic) = 0.0964468963388761 y[1] (numeric) = 0.09644689633887063 absolute error = 5.467848396278896e-15 relative error = 5.669283931197794e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = -0.01 Radius of convergence (given) for eq 1 = 3.22 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.22 Order of pole (three term test) = 5.03e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.770000000000005 y[1] (analytic) = 0.09585062638384372 y[1] (numeric) = 0.09585062638383805 absolute error = 5.662137425588298e-15 relative error = 5.907251354741997e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = -0.01 Radius of convergence (given) for eq 1 = 3.23 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.23 Order of pole (three term test) = 2.76e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.760000000000005 y[1] (analytic) = 0.09525986892242067 y[1] (numeric) = 0.09525986892241482 absolute error = 5.842548667089886e-15 relative error = 6.13327388876426e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = -0.01 Radius of convergence (given) for eq 1 = 3.24 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.24 Order of pole (three term test) = 6.057e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.750000000000005 y[1] (analytic) = 0.09467455621301807 y[1] (numeric) = 0.09467455621301205 absolute error = 6.022959908591474e-15 relative error = 6.361751403449724e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = -0.01 Radius of convergence (given) for eq 1 = 3.25 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.25 Order of pole (three term test) = 6.644e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.740000000000006 y[1] (analytic) = 0.09409462155143243 y[1] (numeric) = 0.09409462155142626 absolute error = 6.175615574477433e-15 relative error = 6.563197207931615e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = -0.01 Radius of convergence (given) for eq 1 = 3.26 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.26 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.730000000000006 y[1] (analytic) = 0.09351999925184033 y[1] (numeric) = 0.09351999925183398 absolute error = 6.356026815979021e-15 relative error = 6.796435914058183e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = -0.01 Radius of convergence (given) for eq 1 = 3.27 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.27 Order of pole (three term test) = 3.993e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.720000000000006 y[1] (analytic) = 0.09295062462819784 y[1] (numeric) = 0.09295062462819131 absolute error = 6.522560269672795e-15 relative error = 7.017231240524754e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = -0.01 Radius of convergence (given) for eq 1 = 3.28 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.28 Order of pole (three term test) = 8.753e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.710000000000006 y[1] (analytic) = 0.09238643397603531 y[1] (numeric) = 0.09238643397602862 absolute error = 6.689093723366568e-15 relative error = 7.24034193710918e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = -0.01 Radius of convergence (given) for eq 1 = 3.29 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.29 Order of pole (three term test) = 4.795e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.700000000000006 y[1] (analytic) = 0.09182736455463764 y[1] (numeric) = 0.09182736455463079 absolute error = 6.841749389252527e-15 relative error = 7.450665084895973e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = -0.01 Radius of convergence (given) for eq 1 = 3.3 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.3 Order of pole (three term test) = 5.252e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.690000000000007 y[1] (analytic) = 0.09127335456960085 y[1] (numeric) = 0.09127335456959386 absolute error = 6.994405055138486e-15 relative error = 7.663140122460247e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = -0.01 Radius of convergence (given) for eq 1 = 3.31 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.31 Order of pole (three term test) = 8.626e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.680000000000007 y[1] (analytic) = 0.09072434315575593 y[1] (numeric) = 0.09072434315574877 absolute error = 7.16093850883226e-15 relative error = 7.893072861975237e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = -0.01 Radius of convergence (given) for eq 1 = 3.32 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.32 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.670000000000007 y[1] (analytic) = 0.09018027036045091 y[1] (numeric) = 0.09018027036044363 absolute error = 7.28583859910259e-15 relative error = 8.079193564158837e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = -0.01 Radius of convergence (given) for eq 1 = 3.33 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.33 Order of pole (three term test) = 3.445e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.660000000000007 y[1] (analytic) = 0.08964107712718315 y[1] (numeric) = 0.08964107712717571 absolute error = 7.438494264988549e-15 relative error = 8.298086662250589e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = -0.01 Radius of convergence (given) for eq 1 = 3.34 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.34 Order of pole (three term test) = 3.769e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.650000000000007 y[1] (analytic) = 0.08910670527957268 y[1] (numeric) = 0.08910670527956512 absolute error = 7.563394355258879e-15 relative error = 8.48801931518924e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = -0.01 Radius of convergence (given) for eq 1 = 3.35 Order of pole (given) = 3 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] = 2.640000000000008 y[1] (analytic) = 0.08857709750566933 y[1] (numeric) = 0.08857709750566163 absolute error = 7.702172233337023e-15 relative error = 8.695444364548126e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = -0.01 Radius of convergence (given) for eq 1 = 3.36 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.36 Order of pole (three term test) = 4.509e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.630000000000008 y[1] (analytic) = 0.0880521973425851 y[1] (numeric) = 0.08805219734257726 absolute error = 7.840950111415168e-15 relative error = 8.90488863203305e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = -0.01 Radius of convergence (given) for eq 1 = 3.37 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.37 Order of pole (three term test) = 2.465e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.620000000000008 y[1] (analytic) = 0.08753194916144436 y[1] (numeric) = 0.08753194916143638 absolute error = 7.979727989493313e-15 relative error = 9.116360444316695e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = -0.01 Radius of convergence (given) for eq 1 = 3.38 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.38 Order of pole (three term test) = 2.694e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.610000000000008 y[1] (analytic) = 0.08701629815264442 y[1] (numeric) = 0.08701629815263631 absolute error = 8.104628079763643e-15 relative error = 9.313919635545131e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = -0.01 Radius of convergence (given) for eq 1 = 3.39 Order of pole (given) = 3 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] = 2.600000000000009 y[1] (analytic) = 0.08650519031141912 y[1] (numeric) = 0.08650519031141089 absolute error = 8.229528170033973e-15 relative error = 9.513334564559224e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = -0.01 Radius of convergence (given) for eq 1 = 3.4 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.4 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.590000000000009 y[1] (analytic) = 0.0859985724236982 y[1] (numeric) = 0.08599857242368986 absolute error = 8.340550472496489e-15 relative error = 9.698475494923592e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = -0.01 Radius of convergence (given) for eq 1 = 3.41 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.41 Order of pole (three term test) = 3.511e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.580000000000009 y[1] (analytic) = 0.08549639205225584 y[1] (numeric) = 0.08549639205224738 absolute error = 8.465450562766819e-15 relative error = 9.90152959623453e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = -0.01 Radius of convergence (given) for eq 1 = 3.42 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.42 Order of pole (three term test) = 3.834e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.570000000000009 y[1] (analytic) = 0.08499859752314133 y[1] (numeric) = 0.08499859752313274 absolute error = 8.590350653037149e-15 relative error = 1.010646163979162e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = -0.01 Radius of convergence (given) for eq 1 = 3.43 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.43 Order of pole (three term test) = 4.185e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.560000000000009 y[1] (analytic) = 0.08450513791238554 y[1] (numeric) = 0.08450513791237683 absolute error = 8.701372955499664e-15 relative error = 1.029685670062003e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = -0.01 Radius of convergence (given) for eq 1 = 3.44 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.44 Order of pole (three term test) = 4.567e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.55000000000001 y[1] (analytic) = 0.08401596303297673 y[1] (numeric) = 0.08401596303296792 absolute error = 8.81239525796218e-15 relative error = 1.048895345578943e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = -0.01 Radius of convergence (given) for eq 1 = 3.45 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.45 Order of pole (three term test) = 2.491e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.54000000000001 y[1] (analytic) = 0.08353102342209943 y[1] (numeric) = 0.08353102342209051 absolute error = 8.923417560424696e-15 relative error = 1.068275856663797e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = -0.01 Radius of convergence (given) for eq 1 = 3.46 Order of pole (given) = 3 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] = 2.53000000000001 y[1] (analytic) = 0.0830502703286304 y[1] (numeric) = 0.08305027032862136 absolute error = 9.034439862887211e-15 relative error = 1.08782786945038e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = -0.01 Radius of convergence (given) for eq 1 = 3.47 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.47 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.52000000000001 y[1] (analytic) = 0.08257365570088568 y[1] (numeric) = 0.08257365570087653 absolute error = 9.145462165349727e-15 relative error = 1.107552050072507e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = -0.01 Radius of convergence (given) for eq 1 = 3.48 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.48 Order of pole (three term test) = 3.23e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.51000000000001 y[1] (analytic) = 0.08210113217461318 y[1] (numeric) = 0.08210113217460394 absolute error = 9.242606680004428e-15 relative error = 1.125758736231213e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = -0.01 Radius of convergence (given) for eq 1 = 3.49 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.49 Order of pole (three term test) = 3.52e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.500000000000011 y[1] (analytic) = 0.08163265306122498 y[1] (numeric) = 0.08163265306121564 absolute error = 9.339751194659129e-15 relative error = 1.144119521345736e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = -0.01 Radius of convergence (given) for eq 1 = 3.5 Order of pole (given) = 3 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] = 2.490000000000011 y[1] (analytic) = 0.08116817233626401 y[1] (numeric) = 0.08116817233625456 absolute error = 9.450773497121645e-15 relative error = 1.164344745618876e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = -0.01 Radius of convergence (given) for eq 1 = 3.51 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.51 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.480000000000011 y[1] (analytic) = 0.08070764462809969 y[1] (numeric) = 0.08070764462809014 absolute error = 9.547918011776346e-15 relative error = 1.183025233331129e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = -0.01 Radius of convergence (given) for eq 1 = 3.52 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.52 Order of pole (three term test) = 4.551e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.470000000000011 y[1] (analytic) = 0.08025102520684753 y[1] (numeric) = 0.0802510252068379 absolute error = 9.631184738623233e-15 relative error = 1.200132299095095e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = -0.01 Radius of convergence (given) for eq 1 = 3.53 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.53 Order of pole (three term test) = 2.478e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.460000000000012 y[1] (analytic) = 0.07979826997350749 y[1] (numeric) = 0.07979826997349777 absolute error = 9.71445146547012e-15 relative error = 1.217376199846846e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = -0.01 Radius of convergence (given) for eq 1 = 3.54 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.54 Order of pole (three term test) = 5.394e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.450000000000012 y[1] (analytic) = 0.07934933544931615 y[1] (numeric) = 0.07934933544930632 absolute error = 9.825473767932635e-15 relative error = 1.238255331603702e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = -0.01 Radius of convergence (given) for eq 1 = 3.55 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.55 Order of pole (three term test) = 2.935e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.440000000000012 y[1] (analytic) = 0.07890417876530795 y[1] (numeric) = 0.07890417876529804 absolute error = 9.908740494779522e-15 relative error = 1.255794135346369e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = -0.01 Radius of convergence (given) for eq 1 = 3.56 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.56 Order of pole (three term test) = 6.387e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.430000000000012 y[1] (analytic) = 0.07846275765208097 y[1] (numeric) = 0.07846275765207099 absolute error = 9.978129433818594e-15 relative error = 1.271702618210738e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = -0.01 Radius of convergence (given) for eq 1 = 3.57 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.57 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.420000000000012 y[1] (analytic) = 0.07802503042976242 y[1] (numeric) = 0.07802503042975234 absolute error = 1.00752739484733e-14 relative error = 1.291287410332122e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = -0.01 Radius of convergence (given) for eq 1 = 3.58 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.58 Order of pole (three term test) = 3.778e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.410000000000013 y[1] (analytic) = 0.0775909559981694 y[1] (numeric) = 0.07759095599815925 absolute error = 1.014466288751237e-14 relative error = 1.307454297605472e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = -0.01 Radius of convergence (given) for eq 1 = 3.59 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.59 Order of pole (three term test) = 1.232e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.400000000000013 y[1] (analytic) = 0.07716049382716104 y[1] (numeric) = 0.07716049382715082 absolute error = 1.022792961435925e-14 relative error = 1.32553967802095e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = -0.01 Radius of convergence (given) for eq 1 = 3.6 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.6 Order of pole (three term test) = 4.465e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.390000000000013 y[1] (analytic) = 0.07673360394717714 y[1] (numeric) = 0.07673360394716683 absolute error = 1.031119634120614e-14 relative error = 1.343765418382316e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = -0.01 Radius of convergence (given) for eq 1 = 3.61 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.61 Order of pole (three term test) = 2.426e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.380000000000013 y[1] (analytic) = 0.07631024693995965 y[1] (numeric) = 0.07631024693994927 absolute error = 1.038058528024521e-14 relative error = 1.360313417464444e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = -0.01 Radius of convergence (given) for eq 1 = 3.62 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.62 Order of pole (three term test) = 2.636e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.370000000000013 y[1] (analytic) = 0.07589038392945285 y[1] (numeric) = 0.0758903839294424 absolute error = 1.044997421928429e-14 relative error = 1.376982652900861e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = -0.01 Radius of convergence (given) for eq 1 = 3.63 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.63 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.360000000000014 y[1] (analytic) = 0.07547397657287823 y[1] (numeric) = 0.07547397657286771 absolute error = 1.051936315832336e-14 relative error = 1.393773541025201e-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) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.64 Order of pole (three term test) = 3.11e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.350000000000014 y[1] (analytic) = 0.0750609870519803 y[1] (numeric) = 0.0750609870519697 absolute error = 1.060262988517024e-14 relative error = 1.412535366451795e-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) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.65 Order of pole (three term test) = 3.377e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.340000000000014 y[1] (analytic) = 0.07465137806443964 y[1] (numeric) = 0.07465137806442897 absolute error = 1.067201882420932e-14 relative error = 1.429580953615772e-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) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.66 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.330000000000014 y[1] (analytic) = 0.0742451128154495 y[1] (numeric) = 0.07424511281543876 absolute error = 1.074140776324839e-14 relative error = 1.446749470224151e-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) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.67 Order of pole (three term test) = 7.957e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.320000000000014 y[1] (analytic) = 0.07384215500945239 y[1] (numeric) = 0.07384215500944157 absolute error = 1.082467449009528e-14 relative error = 1.465920718146651e-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) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.68 Order of pole (three term test) = 8.634e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.310000000000015 y[1] (analytic) = 0.07344246884203318 y[1] (numeric) = 0.0734424688420223 absolute error = 1.088018564132653e-14 relative error = 1.481456957108651e-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) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.69 Order of pole (three term test) = 4.683e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.300000000000015 y[1] (analytic) = 0.07304601899196553 y[1] (numeric) = 0.07304601899195458 absolute error = 1.094957458036561e-14 relative error = 1.49899676005204e-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) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.7 Order of pole (three term test) = 7.619e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.290000000000015 y[1] (analytic) = 0.07265277061340793 y[1] (numeric) = 0.07265277061339692 absolute error = 1.100508573159686e-14 relative error = 1.514751005182712e-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) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.71 Order of pole (three term test) = 5.508e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.280000000000015 y[1] (analytic) = 0.07226268932824663 y[1] (numeric) = 0.07226268932823555 absolute error = 1.107447467063594e-14 relative error = 1.532530102821271e-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) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.72 Order of pole (three term test) = 2.985e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.270000000000016 y[1] (analytic) = 0.07187574121858192 y[1] (numeric) = 0.07187574121857077 absolute error = 1.115774139748282e-14 relative error = 1.552365402890375e-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) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.73 Order of pole (three term test) = 6.472e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.260000000000016 y[1] (analytic) = 0.07149189281935489 y[1] (numeric) = 0.07149189281934368 absolute error = 1.121325254871408e-14 relative error = 1.568464913503918e-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) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.74 Order of pole (three term test) = 3.506e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.250000000000016 y[1] (analytic) = 0.07111111111111172 y[1] (numeric) = 0.07111111111110045 absolute error = 1.126876369994534e-14 relative error = 1.5846698953048e-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) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.75 Order of pole (three term test) = 3.799e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.240000000000016 y[1] (analytic) = 0.07073336351290238 y[1] (numeric) = 0.07073336351289106 absolute error = 1.13242748511766e-14 relative error = 1.600980681359929e-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) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.76 Order of pole (three term test) = 4.115e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.230000000000016 y[1] (analytic) = 0.07035861787531107 y[1] (numeric) = 0.07035861787529969 absolute error = 1.137978600240785e-14 relative error = 1.617397604736212e-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) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.77 Order of pole (three term test) = 4.456e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.220000000000017 y[1] (analytic) = 0.06998684247361557 y[1] (numeric) = 0.06998684247360414 absolute error = 1.143529715363911e-14 relative error = 1.633920998500557e-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) = 3 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] = 2.210000000000017 y[1] (analytic) = 0.06961800600107274 y[1] (numeric) = 0.06961800600106124 absolute error = 1.149080830487037e-14 relative error = 1.65055119571987e-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) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.79 Order of pole (three term test) = 2.611e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.200000000000017 y[1] (analytic) = 0.0692520775623275 y[1] (numeric) = 0.06925207756231594 absolute error = 1.156019724390944e-14 relative error = 1.669292482020508e-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) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.8 Order of pole (three term test) = 2.826e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.190000000000017 y[1] (analytic) = 0.06888902666694284 y[1] (numeric) = 0.06888902666693124 absolute error = 1.160183060733289e-14 relative error = 1.684133332791034e-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) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.81 Order of pole (three term test) = 6.116e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.180000000000017 y[1] (analytic) = 0.06852882322304825 y[1] (numeric) = 0.06852882322303658 absolute error = 1.167121954637196e-14 relative error = 1.703111041084766e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = -0.01 Radius of convergence (given) for eq 1 = 3.82 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.82 Order of pole (three term test) = 6.616e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.170000000000018 y[1] (analytic) = 0.06817143753110384 y[1] (numeric) = 0.06817143753109213 absolute error = 1.17128529097954e-14 relative error = 1.718146680484962e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = -0.01 Radius of convergence (given) for eq 1 = 3.83 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.83 Order of pole (three term test) = 7.156e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.160000000000018 y[1] (analytic) = 0.06781684027777841 y[1] (numeric) = 0.06781684027776665 absolute error = 1.176836406102666e-14 relative error = 1.735315890982731e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = -0.01 Radius of convergence (given) for eq 1 = 3.84 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.84 Order of pole (three term test) = 7.739e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.150000000000018 y[1] (analytic) = 0.06746500252993823 y[1] (numeric) = 0.06746500252992642 absolute error = 1.18099974244501e-14 relative error = 1.7505368682391e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = -0.01 Radius of convergence (given) for eq 1 = 3.85 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.85 Order of pole (three term test) = 8.367e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.140000000000018 y[1] (analytic) = 0.06711589572874505 y[1] (numeric) = 0.06711589572873318 absolute error = 1.186550857568136e-14 relative error = 1.767913315742203e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = -0.01 Radius of convergence (given) for eq 1 = 3.86 Order of pole (given) = 3 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] = 2.130000000000019 y[1] (analytic) = 0.06676949168386045 y[1] (numeric) = 0.06676949168384855 absolute error = 1.19071419391048e-14 relative error = 1.78332074107777e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = -0.01 Radius of convergence (given) for eq 1 = 3.87 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.87 Order of pole (three term test) = 2.443e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.120000000000019 y[1] (analytic) = 0.06642576256775493 y[1] (numeric) = 0.06642576256774296 absolute error = 1.196265309033606e-14 relative error = 1.800905646831535e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = -0.01 Radius of convergence (given) for eq 1 = 3.88 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.88 Order of pole (three term test) = 7.92e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.110000000000019 y[1] (analytic) = 0.06608468091011888 y[1] (numeric) = 0.06608468091010687 absolute error = 1.200428645375951e-14 relative error = 1.816500630469324e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = -0.01 Radius of convergence (given) for eq 1 = 3.89 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.89 Order of pole (three term test) = 2.852e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.100000000000019 y[1] (analytic) = 0.06574621959237409 y[1] (numeric) = 0.06574621959236204 absolute error = 1.204591981718295e-14 relative error = 1.832184404193508e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = -0.01 Radius of convergence (given) for eq 1 = 3.9 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.9 Order of pole (three term test) = 3.08e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.090000000000019 y[1] (analytic) = 0.06541035184228322 y[1] (numeric) = 0.06541035184227112 absolute error = 1.210143096841421e-14 relative error = 1.850078867882114e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = -0.01 Radius of convergence (given) for eq 1 = 3.91 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.91 Order of pole (three term test) = 3.326e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.08000000000002 y[1] (analytic) = 0.06507705122865538 y[1] (numeric) = 0.06507705122864324 absolute error = 1.214306433183765e-14 relative error = 1.865951837487482e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = -0.01 Radius of convergence (given) for eq 1 = 3.92 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.92 Order of pole (three term test) = 3.591e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.07000000000002 y[1] (analytic) = 0.06474629165614605 y[1] (numeric) = 0.06474629165613387 absolute error = 1.218469769526109e-14 relative error = 1.881914374335361e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = -0.01 Radius of convergence (given) for eq 1 = 3.93 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.93 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.06000000000002 y[1] (analytic) = 0.06441804736014908 y[1] (numeric) = 0.06441804736013686 absolute error = 1.222633105868454e-14 relative error = 1.897966728225933e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = -0.01 Radius of convergence (given) for eq 1 = 3.94 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.94 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.05000000000002 y[1] (analytic) = 0.06409229290177922 y[1] (numeric) = 0.06409229290176696 absolute error = 1.225408663430017e-14 relative error = 1.911943867116664e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = -0.01 Radius of convergence (given) for eq 1 = 3.95 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.95 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.04000000000002 y[1] (analytic) = 0.06376900316294322 y[1] (numeric) = 0.06376900316293092 absolute error = 1.229571999772361e-14 relative error = 1.928165627163005e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = -0.01 Radius of convergence (given) for eq 1 = 3.96 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.96 Order of pole (three term test) = 2.435e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.030000000000021 y[1] (analytic) = 0.06344815334149766 y[1] (numeric) = 0.06344815334148532 absolute error = 1.233735336114705e-14 relative error = 1.944477925897005e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = -0.01 Radius of convergence (given) for eq 1 = 3.97 Order of pole (given) = 3 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] = 2.020000000000021 y[1] (analytic) = 0.06312971894649191 y[1] (numeric) = 0.06312971894647953 absolute error = 1.23789867245705e-14 relative error = 1.960881013118844e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = -0.01 Radius of convergence (given) for eq 1 = 3.98 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.98 Order of pole (three term test) = 2.832e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.010000000000021 y[1] (analytic) = 0.06281367579349442 y[1] (numeric) = 0.062813675793482 absolute error = 1.242062008799394e-14 relative error = 1.977375138628702e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = -0.01 Radius of convergence (given) for eq 1 = 3.99 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.99 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.000000000000021 y[1] (analytic) = 0.06250000000000067 y[1] (numeric) = 0.0624999999999882 absolute error = 1.246225345141738e-14 relative error = 1.99396055222676e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = -0.01 Radius of convergence (given) for eq 1 = 4 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4 Order of pole (three term test) = 3.292e-14 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = m1 * 2.0 / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) ; Iterations = 101 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Expected Time Remaining = 0.0 Seconds Optimized Time Remaining = 0.0 Seconds Expected Total Time = 0.0 Seconds Time to Timeout = 10 Minutes 0.0 Seconds Percent Done = 0 %