##############ECHO OF PROBLEM################# ##############temp/expt_sin_linpostode.ode################# diff ( y , x , 1 ) = expt ( sin ( x ) , ( 0.2 * x + 0.3 ) ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=0.1; x_end=3.0; array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_max_iter=1000000; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_desired_digits_correct=10; glob_display_interval=0.01; glob_look_poles=true; glob_max_iter=1000000000; glob_max_minutes=30.0; glob_subiter_method=3; /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y (double x) { return(0.0); } /* 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 = 2.9 estimated_steps = 2900000 step_error = 3.448275862068966e-17 est_needed_step_err = 3.448275862068966e-17 opt_iter = 1 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.1483916146355e-137 estimated_step_error = 1.1483916146355e-137 best_h = 2e-06 opt_iter = 2 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 6.598389669015201e-130 estimated_step_error = 6.598389669015201e-130 best_h = 4e-06 opt_iter = 3 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.428063340634194e-122 estimated_step_error = 4.428063340634194e-122 best_h = 8e-06 opt_iter = 4 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.97156796590924e-114 estimated_step_error = 2.97156796590924e-114 best_h = 1.6e-05 opt_iter = 5 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.994111636674374e-106 estimated_step_error = 1.994111636674374e-106 best_h = 3.2e-05 opt_iter = 6 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.338126533044851e-98 estimated_step_error = 1.338126533044851e-98 best_h = 6.4e-05 opt_iter = 7 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 8.97868490503329e-91 estimated_step_error = 8.97868490503329e-91 best_h = 0.000128 opt_iter = 8 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 6.023708809993655e-83 estimated_step_error = 6.023708809993655e-83 best_h = 0.000256 opt_iter = 9 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.040049393720842e-75 estimated_step_error = 4.040049393720842e-75 best_h = 0.000512 opt_iter = 10 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.708024923037729e-67 estimated_step_error = 2.708024923037729e-67 best_h = 0.001024 opt_iter = 11 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.813036573272479e-59 estimated_step_error = 1.813036573272479e-59 best_h = 0.002048 opt_iter = 12 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.210993393776305e-51 estimated_step_error = 1.210993393776305e-51 best_h = 0.004096 opt_iter = 13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 8.051208448329741e-44 estimated_step_error = 8.051208448329741e-44 best_h = 0.008192 opt_iter = 14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 5.304345214403527e-36 estimated_step_error = 5.304345214403527e-36 best_h = 0.016384 opt_iter = 15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.43410340629862e-28 estimated_step_error = 3.43410340629862e-28 best_h = 0.032768 opt_iter = 16 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.151770164338624e-20 estimated_step_error = 2.151770164338624e-20 best_h = 0.065536 opt_iter = 17 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.26577569204388e-12 estimated_step_error = 1.26577569204388e-12 best_h = 0.032768 START of Soultion TOP MAIN SOLVE Loop x[1] = 0.1 y[1] (analytic) = 0 y[1] (numeric) = 0 absolute error = 0 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.11 y[1] (analytic) = 0 y[1] (numeric) = 0.005310153153712957 absolute error = 0.005310153153712957 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1101 Order of pole (three term test) = 0.9728 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.12 y[1] (analytic) = 0 y[1] (numeric) = 0.01028133373462448 absolute error = 0.01028133373462448 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1201 Order of pole (three term test) = 0.973 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.13 y[1] (analytic) = 0 y[1] (numeric) = 0.01536606124561645 absolute error = 0.01536606124561645 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1301 Order of pole (three term test) = 0.9732 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.14 y[1] (analytic) = 0 y[1] (numeric) = 0.0205577490237794 absolute error = 0.0205577490237794 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1401 Order of pole (three term test) = 0.9734 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.15 y[1] (analytic) = 0 y[1] (numeric) = 0.02585066757570296 absolute error = 0.02585066757570296 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1501 Order of pole (three term test) = 0.9736 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.16 y[1] (analytic) = 0 y[1] (numeric) = 0.03123978720098411 absolute error = 0.03123978720098411 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1601 Order of pole (three term test) = 0.9738 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.17 y[1] (analytic) = 0 y[1] (numeric) = 0.03672065720595734 absolute error = 0.03672065720595734 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1701 Order of pole (three term test) = 0.9741 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.18 y[1] (analytic) = 0 y[1] (numeric) = 0.04228931158576163 absolute error = 0.04228931158576163 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1801 Order of pole (three term test) = 0.9743 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1900000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.04794219424998419 absolute error = 0.04794219424998419 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1901 Order of pole (three term test) = 0.9746 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2000000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.05367609894239924 absolute error = 0.05367609894239924 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2001 Order of pole (three term test) = 0.9749 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2100000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.0594881203876372 absolute error = 0.0594881203876372 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2102 Order of pole (three term test) = 0.9752 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2200000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.06537561413976277 absolute error = 0.06537561413976277 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2202 Order of pole (three term test) = 0.9756 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2300000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.07133616326321102 absolute error = 0.07133616326321102 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2302 Order of pole (three term test) = 0.9759 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2400000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.0773675504410633 absolute error = 0.0773675504410633 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2402 Order of pole (three term test) = 0.9763 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2500000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.08346773444040664 absolute error = 0.08346773444040664 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2502 Order of pole (three term test) = 0.9767 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2600000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.0896348301094493 absolute error = 0.0896348301094493 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2602 Order of pole (three term test) = 0.9771 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2700000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.09586709126276402 absolute error = 0.09586709126276402 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2702 Order of pole (three term test) = 0.9776 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2800000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.1021628959475387 absolute error = 0.1021628959475387 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2802 Order of pole (three term test) = 0.978 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2900000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.1085207336874707 absolute error = 0.1085207336874707 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2902 Order of pole (three term test) = 0.9785 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3000000000000002 y[1] (analytic) = 0 y[1] (numeric) = 0.114939194380654 absolute error = 0.114939194380654 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3002 Order of pole (three term test) = 0.979 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3100000000000002 y[1] (analytic) = 0 y[1] (numeric) = 0.121416958589659 absolute error = 0.121416958589659 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3103 Order of pole (three term test) = 0.9795 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3200000000000002 y[1] (analytic) = 0 y[1] (numeric) = 0.1279527890104366 absolute error = 0.1279527890104366 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3203 Order of pole (three term test) = 0.9801 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3300000000000002 y[1] (analytic) = 0 y[1] (numeric) = 0.1345455229449348 absolute error = 0.1345455229449348 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3303 Order of pole (three term test) = 0.9806 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3400000000000002 y[1] (analytic) = 0 y[1] (numeric) = 0.1411940656327653 absolute error = 0.1411940656327653 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3403 Order of pole (three term test) = 0.9812 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3500000000000002 y[1] (analytic) = 0 y[1] (numeric) = 0.1478973843216858 absolute error = 0.1478973843216858 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3503 Order of pole (three term test) = 0.9818 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3600000000000002 y[1] (analytic) = 0 y[1] (numeric) = 0.1546545029763919 absolute error = 0.1546545029763919 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3603 Order of pole (three term test) = 0.9824 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3700000000000002 y[1] (analytic) = 0 y[1] (numeric) = 0.161464497541148 absolute error = 0.161464497541148 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3703 Order of pole (three term test) = 0.9831 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3800000000000002 y[1] (analytic) = 0 y[1] (numeric) = 0.1683264916849072 absolute error = 0.1683264916849072 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3803 Order of pole (three term test) = 0.9838 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3900000000000002 y[1] (analytic) = 0 y[1] (numeric) = 0.1752396529683639 absolute error = 0.1752396529683639 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3904 Order of pole (three term test) = 0.9845 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4000000000000002 y[1] (analytic) = 0 y[1] (numeric) = 0.1822031893813093 absolute error = 0.1822031893813093 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4004 Order of pole (three term test) = 0.9852 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4100000000000003 y[1] (analytic) = 0 y[1] (numeric) = 0.189216346206086 absolute error = 0.189216346206086 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4104 Order of pole (three term test) = 0.9859 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4200000000000003 y[1] (analytic) = 0 y[1] (numeric) = 0.1962784031691409 absolute error = 0.1962784031691409 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4204 Order of pole (three term test) = 0.9867 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4300000000000003 y[1] (analytic) = 0 y[1] (numeric) = 0.203388671847883 absolute error = 0.203388671847883 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4304 Order of pole (three term test) = 0.9875 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4400000000000003 y[1] (analytic) = 0 y[1] (numeric) = 0.2105464933044454 absolute error = 0.2105464933044454 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4404 Order of pole (three term test) = 0.9883 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4500000000000003 y[1] (analytic) = 0 y[1] (numeric) = 0.2177512359216653 absolute error = 0.2177512359216653 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4504 Order of pole (three term test) = 0.9891 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4600000000000003 y[1] (analytic) = 0 y[1] (numeric) = 0.2250022934197615 absolute error = 0.2250022934197615 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4605 Order of pole (three term test) = 0.9899 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4700000000000003 y[1] (analytic) = 0 y[1] (numeric) = 0.2322990830348809 absolute error = 0.2322990830348809 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4705 Order of pole (three term test) = 0.9908 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4800000000000003 y[1] (analytic) = 0 y[1] (numeric) = 0.2396410438429976 absolute error = 0.2396410438429976 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4805 Order of pole (three term test) = 0.9917 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4900000000000003 y[1] (analytic) = 0 y[1] (numeric) = 0.247027635214634 absolute error = 0.247027635214634 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4905 Order of pole (three term test) = 0.9926 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5000000000000003 y[1] (analytic) = 0 y[1] (numeric) = 0.2544583353875808 absolute error = 0.2544583353875808 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5005 Order of pole (three term test) = 0.9935 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5100000000000003 y[1] (analytic) = 0 y[1] (numeric) = 0.2619326401462784 absolute error = 0.2619326401462784 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5105 Order of pole (three term test) = 0.9945 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5200000000000004 y[1] (analytic) = 0 y[1] (numeric) = 0.269450061597801 absolute error = 0.269450061597801 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5205 Order of pole (three term test) = 0.9954 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5300000000000004 y[1] (analytic) = 0 y[1] (numeric) = 0.2770101270355062 absolute error = 0.2770101270355062 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5306 Order of pole (three term test) = 0.9964 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5400000000000004 y[1] (analytic) = 0 y[1] (numeric) = 0.2846123778823844 absolute error = 0.2846123778823844 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5406 Order of pole (three term test) = 0.9975 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5500000000000004 y[1] (analytic) = 0 y[1] (numeric) = 0.2922563687069983 absolute error = 0.2922563687069983 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5506 Order of pole (three term test) = 0.9985 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5600000000000004 y[1] (analytic) = 0 y[1] (numeric) = 0.2999416663056484 absolute error = 0.2999416663056484 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5606 Order of pole (three term test) = 0.9996 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5700000000000004 y[1] (analytic) = 0 y[1] (numeric) = 0.3076678488450583 absolute error = 0.3076678488450583 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5706 Order of pole (three term test) = 1.001 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5800000000000004 y[1] (analytic) = 0 y[1] (numeric) = 0.3154345050604551 absolute error = 0.3154345050604551 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5807 Order of pole (three term test) = 1.002 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5900000000000004 y[1] (analytic) = 0 y[1] (numeric) = 0.3232412335044302 absolute error = 0.3232412335044302 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5907 Order of pole (three term test) = 1.003 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6000000000000004 y[1] (analytic) = 0 y[1] (numeric) = 0.3310876418424205 absolute error = 0.3310876418424205 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.6007 Order of pole (three term test) = 1.004 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6100000000000004 y[1] (analytic) = 0 y[1] (numeric) = 0.3389733461910504 absolute error = 0.3389733461910504 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.6107 Order of pole (three term test) = 1.005 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6200000000000004 y[1] (analytic) = 0 y[1] (numeric) = 0.346897970495936 absolute error = 0.346897970495936 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.6207 Order of pole (three term test) = 1.006 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6300000000000004 y[1] (analytic) = 0 y[1] (numeric) = 0.3548611459458664 absolute error = 0.3548611459458664 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.6308 Order of pole (three term test) = 1.008 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6400000000000005 y[1] (analytic) = 0 y[1] (numeric) = 0.3628625104205674 absolute error = 0.3628625104205674 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.6408 Order of pole (three term test) = 1.009 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6500000000000005 y[1] (analytic) = 0 y[1] (numeric) = 0.3709017079695005 absolute error = 0.3709017079695005 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.6508 Order of pole (three term test) = 1.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6600000000000005 y[1] (analytic) = 0 y[1] (numeric) = 0.3789783883193846 absolute error = 0.3789783883193846 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.6608 Order of pole (three term test) = 1.011 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6700000000000005 y[1] (analytic) = 0 y[1] (numeric) = 0.3870922064083256 absolute error = 0.3870922064083256 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.6709 Order of pole (three term test) = 1.013 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6800000000000005 y[1] (analytic) = 0 y[1] (numeric) = 0.3952428219446287 absolute error = 0.3952428219446287 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.6809 Order of pole (three term test) = 1.014 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6900000000000005 y[1] (analytic) = 0 y[1] (numeric) = 0.4034298989885287 absolute error = 0.4034298989885287 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.6909 Order of pole (three term test) = 1.015 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7000000000000005 y[1] (analytic) = 0 y[1] (numeric) = 0.4116531055552269 absolute error = 0.4116531055552269 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7009 Order of pole (three term test) = 1.017 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7100000000000005 y[1] (analytic) = 0 y[1] (numeric) = 0.4199121132377536 absolute error = 0.4199121132377536 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.711 Order of pole (three term test) = 1.018 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7200000000000005 y[1] (analytic) = 0 y[1] (numeric) = 0.4282065968483022 absolute error = 0.4282065968483022 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.721 Order of pole (three term test) = 1.019 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7300000000000005 y[1] (analytic) = 0 y[1] (numeric) = 0.4365362340767856 absolute error = 0.4365362340767856 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.731 Order of pole (three term test) = 1.021 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7400000000000005 y[1] (analytic) = 0 y[1] (numeric) = 0.444900705165471 absolute error = 0.444900705165471 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.741 Order of pole (three term test) = 1.022 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7500000000000006 y[1] (analytic) = 0 y[1] (numeric) = 0.453299692598636 absolute error = 0.453299692598636 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7511 Order of pole (three term test) = 1.023 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7600000000000006 y[1] (analytic) = 0 y[1] (numeric) = 0.4617328808062744 absolute error = 0.4617328808062744 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7611 Order of pole (three term test) = 1.025 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7700000000000006 y[1] (analytic) = 0 y[1] (numeric) = 0.470199955880954 absolute error = 0.470199955880954 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7711 Order of pole (three term test) = 1.026 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7800000000000006 y[1] (analytic) = 0 y[1] (numeric) = 0.478700605306998 absolute error = 0.478700605306998 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7811 Order of pole (three term test) = 1.028 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7900000000000006 y[1] (analytic) = 0 y[1] (numeric) = 0.4872345177012241 absolute error = 0.4872345177012241 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7912 Order of pole (three term test) = 1.029 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8000000000000006 y[1] (analytic) = 0 y[1] (numeric) = 0.4958013825645328 absolute error = 0.4958013825645328 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.8012 Order of pole (three term test) = 1.031 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8100000000000006 y[1] (analytic) = 0 y[1] (numeric) = 0.5044008900436892 absolute error = 0.5044008900436892 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.8112 Order of pole (three term test) = 1.032 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8200000000000006 y[1] (analytic) = 0 y[1] (numeric) = 0.5130327307026903 absolute error = 0.5130327307026903 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.8213 Order of pole (three term test) = 1.034 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8300000000000006 y[1] (analytic) = 0 y[1] (numeric) = 0.521696595303154 absolute error = 0.521696595303154 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.8313 Order of pole (three term test) = 1.036 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8400000000000006 y[1] (analytic) = 0 y[1] (numeric) = 0.5303921745932066 absolute error = 0.5303921745932066 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.8413 Order of pole (three term test) = 1.037 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8500000000000006 y[1] (analytic) = 0 y[1] (numeric) = 0.5391191591043836 absolute error = 0.5391191591043836 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.8513 Order of pole (three term test) = 1.039 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8600000000000007 y[1] (analytic) = 0 y[1] (numeric) = 0.5478772389560903 absolute error = 0.5478772389560903 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.8614 Order of pole (three term test) = 1.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8700000000000007 y[1] (analytic) = 0 y[1] (numeric) = 0.5566661036672055 absolute error = 0.5566661036672055 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.8714 Order of pole (three term test) = 1.042 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8800000000000007 y[1] (analytic) = 0 y[1] (numeric) = 0.5654854419744332 absolute error = 0.5654854419744332 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.8814 Order of pole (three term test) = 1.044 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8900000000000007 y[1] (analytic) = 0 y[1] (numeric) = 0.5743349416570418 absolute error = 0.5743349416570418 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.8915 Order of pole (three term test) = 1.045 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9000000000000007 y[1] (analytic) = 0 y[1] (numeric) = 0.5832142893676502 absolute error = 0.5832142893676502 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.9015 Order of pole (three term test) = 1.047 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9100000000000007 y[1] (analytic) = 0 y[1] (numeric) = 0.5921231704687441 absolute error = 0.5921231704687441 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.9115 Order of pole (three term test) = 1.049 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9200000000000007 y[1] (analytic) = 0 y[1] (numeric) = 0.6010612688746289 absolute error = 0.6010612688746289 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.9216 Order of pole (three term test) = 1.051 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9300000000000007 y[1] (analytic) = 0 y[1] (numeric) = 0.6100282668985429 absolute error = 0.6100282668985429 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.9316 Order of pole (three term test) = 1.052 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9400000000000007 y[1] (analytic) = 0 y[1] (numeric) = 0.6190238451046755 absolute error = 0.6190238451046755 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.9417 Order of pole (three term test) = 1.054 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9500000000000007 y[1] (analytic) = 0 y[1] (numeric) = 0.6280476821648475 absolute error = 0.6280476821648475 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.9517 Order of pole (three term test) = 1.056 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9600000000000007 y[1] (analytic) = 0 y[1] (numeric) = 0.6370994547196335 absolute error = 0.6370994547196335 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.9617 Order of pole (three term test) = 1.058 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9700000000000008 y[1] (analytic) = 0 y[1] (numeric) = 0.6461788372437128 absolute error = 0.6461788372437128 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.9718 Order of pole (three term test) = 1.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9800000000000008 y[1] (analytic) = 0 y[1] (numeric) = 0.6552855019152566 absolute error = 0.6552855019152566 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.9818 Order of pole (three term test) = 1.061 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9900000000000008 y[1] (analytic) = 0 y[1] (numeric) = 0.6644191184891651 absolute error = 0.6644191184891651 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.9918 Order of pole (three term test) = 1.063 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.000000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.6735793541739865 absolute error = 0.6735793541739865 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.002 Order of pole (three term test) = 1.065 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.010000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.6827658735123545 absolute error = 0.6827658735123545 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.012 Order of pole (three term test) = 1.067 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.020000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.6919783382647974 absolute error = 0.6919783382647974 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.022 Order of pole (three term test) = 1.069 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.030000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.701216407296776 absolute error = 0.701216407296776 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.032 Order of pole (three term test) = 1.071 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.040000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.7104797364688218 absolute error = 0.7104797364688218 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.042 Order of pole (three term test) = 1.073 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.050000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.7197679785296492 absolute error = 0.7197679785296492 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.052 Order of pole (three term test) = 1.075 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.060000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.7290807830121312 absolute error = 0.7290807830121312 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.062 Order of pole (three term test) = 1.077 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.070000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.738417796132027 absolute error = 0.738417796132027 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.072 Order of pole (three term test) = 1.079 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.080000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.7477786606893645 absolute error = 0.7477786606893645 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.082 Order of pole (three term test) = 1.081 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.090000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.7571630159723811 absolute error = 0.7571630159723811 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.092 Order of pole (three term test) = 1.083 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.100000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.7665704976639367 absolute error = 0.7665704976639367 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.102 Order of pole (three term test) = 1.085 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.110000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.7760007377503162 absolute error = 0.7760007377503162 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.112 Order of pole (three term test) = 1.088 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.120000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.7854533644323448 absolute error = 0.7854533644323448 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.122 Order of pole (three term test) = 1.09 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.130000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.7949280020387453 absolute error = 0.7949280020387453 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.132 Order of pole (three term test) = 1.092 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.140000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.8044242709416695 absolute error = 0.8044242709416695 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.142 Order of pole (three term test) = 1.095 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.150000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.8139417874743431 absolute error = 0.8139417874743431 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.152 Order of pole (three term test) = 1.098 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.160000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.8234801638507647 absolute error = 0.8234801638507647 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.162 Order of pole (three term test) = 1.101 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.170000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.8330390080874064 absolute error = 0.8330390080874064 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.172 Order of pole (three term test) = 1.105 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.180000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.8426179239268647 absolute error = 0.8426179239268647 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.182 Order of pole (three term test) = 1.109 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.190000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.8522165107634173 absolute error = 0.8522165107634173 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.192 Order of pole (three term test) = 1.113 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.200000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.8618343635704399 absolute error = 0.8618343635704399 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.202 Order of pole (three term test) = 1.118 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.210000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.8714710728296461 absolute error = 0.8714710728296461 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.212 Order of pole (three term test) = 1.124 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.220000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.8811262244621124 absolute error = 0.8811262244621124 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.222 Order of pole (three term test) = 1.131 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.230000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.8907993997610542 absolute error = 0.8907993997610542 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.231 Order of pole (three term test) = 1.14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.240000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.9004901753263227 absolute error = 0.9004901753263227 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.241 Order of pole (three term test) = 1.15 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.250000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.910198123000594 absolute error = 0.910198123000594 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.25 Order of pole (three term test) = 1.163 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.260000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.9199228098072237 absolute error = 0.9199228098072237 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.26 Order of pole (three term test) = 1.179 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.270000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.9296637978897451 absolute error = 0.9296637978897451 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.269 Order of pole (three term test) = 1.198 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.280000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.9394206444529876 absolute error = 0.9394206444529876 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.277 Order of pole (three term test) = 1.222 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.290000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.9491929017057983 absolute error = 0.9491929017057983 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.300000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.958980116805348 absolute error = 0.958980116805348 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.310000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.9687818318030074 absolute error = 0.9687818318030074 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.320000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.978597583591779 absolute error = 0.978597583591779 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.330000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.988426903855275 absolute error = 0.988426903855275 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.340000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.9982693190182295 absolute error = 0.9982693190182295 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.350000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.008124350198537 absolute error = 1.008124350198537 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.360000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.017991513160813 absolute error = 1.017991513160813 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.370000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.027870318271464 absolute error = 1.027870318271464 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.380000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.037760270455276 absolute error = 1.037760270455276 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.390000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.047660869153504 absolute error = 1.047660869153504 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.400000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.057571608283473 absolute error = 1.057571608283473 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.410000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.067491976199683 absolute error = 1.067491976199683 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.420000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.077421455656423 absolute error = 1.077421455656423 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.430000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.087359523771896 absolute error = 1.087359523771896 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.440000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.09730565199386 absolute error = 1.09730565199386 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.450000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.107259306066775 absolute error = 1.107259306066775 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.460000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.117219946000494 absolute error = 1.117219946000494 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.470000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.127187026040464 absolute error = 1.127187026040464 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.480000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.137159994639475 absolute error = 1.137159994639475 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.490000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.147138294430949 absolute error = 1.147138294430949 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.500000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.15712136220379 absolute error = 1.15712136220379 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.510000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.167108628878788 absolute error = 1.167108628878788 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.520000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.177099519486605 absolute error = 1.177099519486605 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.530000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.187093453147347 absolute error = 1.187093453147347 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.540000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.197089843051725 absolute error = 1.197089843051725 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.550000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.207088096443839 absolute error = 1.207088096443839 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.560000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.217087614605578 absolute error = 1.217087614605578 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.570000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.22708779284266 absolute error = 1.22708779284266 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.580000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.237088020472324 absolute error = 1.237088020472324 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.590000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.247087680812692 absolute error = 1.247087680812692 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.600000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.257086151173816 absolute error = 1.257086151173816 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.610000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.26708280285042 absolute error = 1.26708280285042 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.620000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.277077001116361 absolute error = 1.277077001116361 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.630000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.287068105220832 absolute error = 1.287068105220832 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.640000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.297055468386305 absolute error = 1.297055468386305 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.650000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.307038437808253 absolute error = 1.307038437808253 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.660000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.31701635465666 absolute error = 1.31701635465666 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.670000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.32698855407934 absolute error = 1.32698855407934 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.680000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.336954365207082 absolute error = 1.336954365207082 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.690000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.346913111160645 absolute error = 1.346913111160645 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.700000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.356864109059623 absolute error = 1.356864109059623 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.710000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.366806670033197 absolute error = 1.366806670033197 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.720000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.376740099232797 absolute error = 1.376740099232797 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.730000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.386663695846702 absolute error = 1.386663695846702 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.740000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.396576753116582 absolute error = 1.396576753116582 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.750000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.406478558356026 absolute error = 1.406478558356026 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.760000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.416368392971066 absolute error = 1.416368392971066 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.770000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.426245532482711 absolute error = 1.426245532482711 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.780000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.436109246551538 absolute error = 1.436109246551538 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.790000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.445958799004337 absolute error = 1.445958799004337 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.800000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.455793447862854 absolute error = 1.455793447862854 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.810000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.465612445374636 absolute error = 1.465612445374636 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.820000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.475415038046019 absolute error = 1.475415038046019 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.830000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.485200466677274 absolute error = 1.485200466677274 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.840000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.494967966399929 absolute error = 1.494967966399929 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.850000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.504716766716309 absolute error = 1.504716766716309 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.860000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.514446091541293 absolute error = 1.514446091541293 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.870000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.524155159246338 absolute error = 1.524155159246338 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.880000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.533843182705773 absolute error = 1.533843182705773 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.890000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.543509369345402 absolute error = 1.543509369345402 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.900000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.553152921193425 absolute error = 1.553152921193425 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.910000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.562773034933723 absolute error = 1.562773034933723 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.920000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.572368901961506 absolute error = 1.572368901961506 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.930000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.58193970844137 absolute error = 1.58193970844137 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.940000000000002 y[1] (analytic) = 0 y[1] (numeric) = 1.591484635367773 absolute error = 1.591484635367773 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.950000000000002 y[1] (analytic) = 0 y[1] (numeric) = 1.601002858627963 absolute error = 1.601002858627963 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.960000000000002 y[1] (analytic) = 0 y[1] (numeric) = 1.610493549067373 absolute error = 1.610493549067373 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.191 Order of pole (three term test) = 1.345 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.970000000000002 y[1] (analytic) = 0 y[1] (numeric) = 1.619955872557518 absolute error = 1.619955872557518 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.179 Order of pole (three term test) = 1.363 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.980000000000002 y[1] (analytic) = 0 y[1] (numeric) = 1.629388990066409 absolute error = 1.629388990066409 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.168 Order of pole (three term test) = 1.374 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.990000000000002 y[1] (analytic) = 0 y[1] (numeric) = 1.638792057731514 absolute error = 1.638792057731514 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.157 Order of pole (three term test) = 1.381 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.000000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.648164226935286 absolute error = 1.648164226935286 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.147 Order of pole (three term test) = 1.384 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.010000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.657504644383279 absolute error = 1.657504644383279 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.136 Order of pole (three term test) = 1.384 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.020000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.666812452184889 absolute error = 1.666812452184889 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.126 Order of pole (three term test) = 1.382 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.030000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.676086787936722 absolute error = 1.676086787936722 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.115 Order of pole (three term test) = 1.379 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.04 y[1] (analytic) = 0 y[1] (numeric) = 1.685326784808633 absolute error = 1.685326784808633 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.105 Order of pole (three term test) = 1.375 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.05 y[1] (analytic) = 0 y[1] (numeric) = 1.694531571632444 absolute error = 1.694531571632444 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.095 Order of pole (three term test) = 1.37 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.06 y[1] (analytic) = 0 y[1] (numeric) = 1.703700272993373 absolute error = 1.703700272993373 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.085 Order of pole (three term test) = 1.364 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.07 y[1] (analytic) = 0 y[1] (numeric) = 1.71283200932419 absolute error = 1.71283200932419 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.075 Order of pole (three term test) = 1.359 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.08 y[1] (analytic) = 0 y[1] (numeric) = 1.721925897002124 absolute error = 1.721925897002124 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.065 Order of pole (three term test) = 1.352 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.089999999999999 y[1] (analytic) = 0 y[1] (numeric) = 1.73098104844855 absolute error = 1.73098104844855 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.055 Order of pole (three term test) = 1.346 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.099999999999999 y[1] (analytic) = 0 y[1] (numeric) = 1.739996572231464 absolute error = 1.739996572231464 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.045 Order of pole (three term test) = 1.339 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.109999999999999 y[1] (analytic) = 0 y[1] (numeric) = 1.74897157317078 absolute error = 1.74897157317078 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.035 Order of pole (three term test) = 1.332 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.119999999999999 y[1] (analytic) = 0 y[1] (numeric) = 1.75790515244646 absolute error = 1.75790515244646 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.024 Order of pole (three term test) = 1.325 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.129999999999999 y[1] (analytic) = 0 y[1] (numeric) = 1.766796407709506 absolute error = 1.766796407709506 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.014 Order of pole (three term test) = 1.318 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.139999999999998 y[1] (analytic) = 0 y[1] (numeric) = 1.775644433195828 absolute error = 1.775644433195828 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.004 Order of pole (three term test) = 1.311 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.149999999999998 y[1] (analytic) = 0 y[1] (numeric) = 1.78444831984301 absolute error = 1.78444831984301 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.9943 Order of pole (three term test) = 1.304 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.159999999999998 y[1] (analytic) = 0 y[1] (numeric) = 1.793207155409992 absolute error = 1.793207155409992 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.9843 Order of pole (three term test) = 1.297 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.169999999999998 y[1] (analytic) = 0 y[1] (numeric) = 1.801920024599693 absolute error = 1.801920024599693 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.9742 Order of pole (three term test) = 1.29 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.179999999999997 y[1] (analytic) = 0 y[1] (numeric) = 1.81058600918458 absolute error = 1.81058600918458 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.9642 Order of pole (three term test) = 1.283 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.189999999999997 y[1] (analytic) = 0 y[1] (numeric) = 1.819204188135215 absolute error = 1.819204188135215 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.9542 Order of pole (three term test) = 1.276 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.199999999999997 y[1] (analytic) = 0 y[1] (numeric) = 1.827773637751789 absolute error = 1.827773637751789 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.9441 Order of pole (three term test) = 1.269 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.209999999999997 y[1] (analytic) = 0 y[1] (numeric) = 1.836293431798661 absolute error = 1.836293431798661 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.9341 Order of pole (three term test) = 1.262 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.219999999999997 y[1] (analytic) = 0 y[1] (numeric) = 1.84476264164192 absolute error = 1.84476264164192 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.924 Order of pole (three term test) = 1.255 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.229999999999996 y[1] (analytic) = 0 y[1] (numeric) = 1.853180336389983 absolute error = 1.853180336389983 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.914 Order of pole (three term test) = 1.249 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.239999999999996 y[1] (analytic) = 0 y[1] (numeric) = 1.861545583037243 absolute error = 1.861545583037243 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.904 Order of pole (three term test) = 1.242 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.249999999999996 y[1] (analytic) = 0 y[1] (numeric) = 1.869857446610788 absolute error = 1.869857446610788 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.8939 Order of pole (three term test) = 1.235 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.259999999999996 y[1] (analytic) = 0 y[1] (numeric) = 1.87811499032019 absolute error = 1.87811499032019 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.8839 Order of pole (three term test) = 1.228 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.269999999999996 y[1] (analytic) = 0 y[1] (numeric) = 1.886317275710396 absolute error = 1.886317275710396 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.8739 Order of pole (three term test) = 1.221 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.279999999999995 y[1] (analytic) = 0 y[1] (numeric) = 1.894463362817708 absolute error = 1.894463362817708 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.8638 Order of pole (three term test) = 1.215 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.289999999999995 y[1] (analytic) = 0 y[1] (numeric) = 1.90255231032889 absolute error = 1.90255231032889 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.8538 Order of pole (three term test) = 1.208 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.299999999999995 y[1] (analytic) = 0 y[1] (numeric) = 1.910583175743387 absolute error = 1.910583175743387 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.8438 Order of pole (three term test) = 1.201 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.309999999999995 y[1] (analytic) = 0 y[1] (numeric) = 1.918555015538681 absolute error = 1.918555015538681 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.8337 Order of pole (three term test) = 1.195 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.319999999999995 y[1] (analytic) = 0 y[1] (numeric) = 1.926466885338785 absolute error = 1.926466885338785 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.8237 Order of pole (three term test) = 1.188 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.329999999999994 y[1] (analytic) = 0 y[1] (numeric) = 1.934317840085881 absolute error = 1.934317840085881 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.8137 Order of pole (three term test) = 1.182 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.339999999999994 y[1] (analytic) = 0 y[1] (numeric) = 1.942106934215111 absolute error = 1.942106934215111 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.8036 Order of pole (three term test) = 1.176 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.349999999999994 y[1] (analytic) = 0 y[1] (numeric) = 1.94983322183252 absolute error = 1.94983322183252 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7936 Order of pole (three term test) = 1.169 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.359999999999994 y[1] (analytic) = 0 y[1] (numeric) = 1.95749575689616 absolute error = 1.95749575689616 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7836 Order of pole (three term test) = 1.163 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.369999999999993 y[1] (analytic) = 0 y[1] (numeric) = 1.965093593400351 absolute error = 1.965093593400351 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7735 Order of pole (three term test) = 1.157 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.379999999999993 y[1] (analytic) = 0 y[1] (numeric) = 1.972625785563098 absolute error = 1.972625785563098 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7635 Order of pole (three term test) = 1.151 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.389999999999993 y[1] (analytic) = 0 y[1] (numeric) = 1.980091388016668 absolute error = 1.980091388016668 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7535 Order of pole (three term test) = 1.145 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.399999999999993 y[1] (analytic) = 0 y[1] (numeric) = 1.987489456001322 absolute error = 1.987489456001322 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7434 Order of pole (three term test) = 1.138 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.409999999999993 y[1] (analytic) = 0 y[1] (numeric) = 1.994819045562189 absolute error = 1.994819045562189 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7334 Order of pole (three term test) = 1.132 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.419999999999992 y[1] (analytic) = 0 y[1] (numeric) = 2.002079213749282 absolute error = 2.002079213749282 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7234 Order of pole (three term test) = 1.127 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.429999999999992 y[1] (analytic) = 0 y[1] (numeric) = 2.009269018820648 absolute error = 2.009269018820648 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7134 Order of pole (three term test) = 1.121 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.439999999999992 y[1] (analytic) = 0 y[1] (numeric) = 2.016387520448633 absolute error = 2.016387520448633 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7033 Order of pole (three term test) = 1.115 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.449999999999992 y[1] (analytic) = 0 y[1] (numeric) = 2.02343377992925 absolute error = 2.02343377992925 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.6933 Order of pole (three term test) = 1.109 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.459999999999992 y[1] (analytic) = 0 y[1] (numeric) = 2.030406860394642 absolute error = 2.030406860394642 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.6833 Order of pole (three term test) = 1.104 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.469999999999991 y[1] (analytic) = 0 y[1] (numeric) = 2.037305827028599 absolute error = 2.037305827028599 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.6732 Order of pole (three term test) = 1.098 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.479999999999991 y[1] (analytic) = 0 y[1] (numeric) = 2.044129747285134 absolute error = 2.044129747285134 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.6632 Order of pole (three term test) = 1.093 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.489999999999991 y[1] (analytic) = 0 y[1] (numeric) = 2.050877691110061 absolute error = 2.050877691110061 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.6532 Order of pole (three term test) = 1.087 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.499999999999991 y[1] (analytic) = 0 y[1] (numeric) = 2.057548731165575 absolute error = 2.057548731165575 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.6432 Order of pole (three term test) = 1.082 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.50999999999999 y[1] (analytic) = 0 y[1] (numeric) = 2.064141943057773 absolute error = 2.064141943057773 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.6331 Order of pole (three term test) = 1.076 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.51999999999999 y[1] (analytic) = 0 y[1] (numeric) = 2.070656405567089 absolute error = 2.070656405567089 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.6231 Order of pole (three term test) = 1.071 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.52999999999999 y[1] (analytic) = 0 y[1] (numeric) = 2.077091200881607 absolute error = 2.077091200881607 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.6131 Order of pole (three term test) = 1.066 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.53999999999999 y[1] (analytic) = 0 y[1] (numeric) = 2.083445414833184 absolute error = 2.083445414833184 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.603 Order of pole (three term test) = 1.061 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.54999999999999 y[1] (analytic) = 0 y[1] (numeric) = 2.089718137136338 absolute error = 2.089718137136338 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.593 Order of pole (three term test) = 1.056 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.559999999999989 y[1] (analytic) = 0 y[1] (numeric) = 2.095908461629846 absolute error = 2.095908461629846 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.583 Order of pole (three term test) = 1.051 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.569999999999989 y[1] (analytic) = 0 y[1] (numeric) = 2.102015486520958 absolute error = 2.102015486520958 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.573 Order of pole (three term test) = 1.046 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.579999999999989 y[1] (analytic) = 0 y[1] (numeric) = 2.108038314632182 absolute error = 2.108038314632182 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5629 Order of pole (three term test) = 1.041 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.589999999999989 y[1] (analytic) = 0 y[1] (numeric) = 2.113976053650521 absolute error = 2.113976053650521 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5529 Order of pole (three term test) = 1.037 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.599999999999989 y[1] (analytic) = 0 y[1] (numeric) = 2.119827816379083 absolute error = 2.119827816379083 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5429 Order of pole (three term test) = 1.032 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.609999999999988 y[1] (analytic) = 0 y[1] (numeric) = 2.125592720990953 absolute error = 2.125592720990953 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5329 Order of pole (three term test) = 1.028 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.619999999999988 y[1] (analytic) = 0 y[1] (numeric) = 2.131269891285193 absolute error = 2.131269891285193 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5228 Order of pole (three term test) = 1.023 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.629999999999988 y[1] (analytic) = 0 y[1] (numeric) = 2.136858456944849 absolute error = 2.136858456944849 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5128 Order of pole (three term test) = 1.019 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.639999999999988 y[1] (analytic) = 0 y[1] (numeric) = 2.142357553796797 absolute error = 2.142357553796797 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5028 Order of pole (three term test) = 1.015 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.649999999999987 y[1] (analytic) = 0 y[1] (numeric) = 2.147766324073263 absolute error = 2.147766324073263 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4927 Order of pole (three term test) = 1.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.659999999999987 y[1] (analytic) = 0 y[1] (numeric) = 2.153083916674819 absolute error = 2.153083916674819 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4827 Order of pole (three term test) = 1.006 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.669999999999987 y[1] (analytic) = 0 y[1] (numeric) = 2.158309487434641 absolute error = 2.158309487434641 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4727 Order of pole (three term test) = 1.002 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.679999999999987 y[1] (analytic) = 0 y[1] (numeric) = 2.163442199383775 absolute error = 2.163442199383775 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4627 Order of pole (three term test) = 0.9982 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.689999999999987 y[1] (analytic) = 0 y[1] (numeric) = 2.168481223017142 absolute error = 2.168481223017142 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4526 Order of pole (three term test) = 0.9943 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.699999999999986 y[1] (analytic) = 0 y[1] (numeric) = 2.173425736559957 absolute error = 2.173425736559957 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4426 Order of pole (three term test) = 0.9905 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.709999999999986 y[1] (analytic) = 0 y[1] (numeric) = 2.178274926234212 absolute error = 2.178274926234212 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4326 Order of pole (three term test) = 0.9868 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.719999999999986 y[1] (analytic) = 0 y[1] (numeric) = 2.183027986524816 absolute error = 2.183027986524816 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4226 Order of pole (three term test) = 0.9832 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.729999999999986 y[1] (analytic) = 0 y[1] (numeric) = 2.187684120444924 absolute error = 2.187684120444924 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4125 Order of pole (three term test) = 0.9796 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.739999999999986 y[1] (analytic) = 0 y[1] (numeric) = 2.192242539799943 absolute error = 2.192242539799943 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4025 Order of pole (three term test) = 0.9761 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.749999999999985 y[1] (analytic) = 0 y[1] (numeric) = 2.196702465449585 absolute error = 2.196702465449585 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3925 Order of pole (three term test) = 0.9728 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.759999999999985 y[1] (analytic) = 0 y[1] (numeric) = 2.201063127567308 absolute error = 2.201063127567308 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3825 Order of pole (three term test) = 0.9695 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.769999999999985 y[1] (analytic) = 0 y[1] (numeric) = 2.205323765896313 absolute error = 2.205323765896313 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3724 Order of pole (three term test) = 0.9663 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.779999999999985 y[1] (analytic) = 0 y[1] (numeric) = 2.209483630001209 absolute error = 2.209483630001209 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3624 Order of pole (three term test) = 0.9631 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.789999999999984 y[1] (analytic) = 0 y[1] (numeric) = 2.213541979514256 absolute error = 2.213541979514256 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3524 Order of pole (three term test) = 0.9601 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.799999999999984 y[1] (analytic) = 0 y[1] (numeric) = 2.217498084374971 absolute error = 2.217498084374971 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3424 Order of pole (three term test) = 0.9572 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.809999999999984 y[1] (analytic) = 0 y[1] (numeric) = 2.221351225061633 absolute error = 2.221351225061633 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3323 Order of pole (three term test) = 0.9543 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.819999999999984 y[1] (analytic) = 0 y[1] (numeric) = 2.225100692813029 absolute error = 2.225100692813029 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3223 Order of pole (three term test) = 0.9515 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.829999999999984 y[1] (analytic) = 0 y[1] (numeric) = 2.228745789838436 absolute error = 2.228745789838436 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3123 Order of pole (three term test) = 0.9489 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.839999999999983 y[1] (analytic) = 0 y[1] (numeric) = 2.232285829513533 absolute error = 2.232285829513533 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3023 Order of pole (three term test) = 0.9463 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.849999999999983 y[1] (analytic) = 0 y[1] (numeric) = 2.235720136559462 absolute error = 2.235720136559462 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2922 Order of pole (three term test) = 0.9438 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.859999999999983 y[1] (analytic) = 0 y[1] (numeric) = 2.239048047201774 absolute error = 2.239048047201774 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2822 Order of pole (three term test) = 0.9414 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.869999999999983 y[1] (analytic) = 0 y[1] (numeric) = 2.242268909305344 absolute error = 2.242268909305344 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2722 Order of pole (three term test) = 0.9391 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.879999999999983 y[1] (analytic) = 0 y[1] (numeric) = 2.245382082480541 absolute error = 2.245382082480541 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2622 Order of pole (three term test) = 0.9368 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.889999999999982 y[1] (analytic) = 0 y[1] (numeric) = 2.248386938155007 absolute error = 2.248386938155007 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2521 Order of pole (three term test) = 0.9347 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.899999999999982 y[1] (analytic) = 0 y[1] (numeric) = 2.251282859604143 absolute error = 2.251282859604143 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2421 Order of pole (three term test) = 0.9326 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.909999999999982 y[1] (analytic) = 0 y[1] (numeric) = 2.254069241931924 absolute error = 2.254069241931924 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2321 Order of pole (three term test) = 0.9307 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.919999999999982 y[1] (analytic) = 0 y[1] (numeric) = 2.256745491991738 absolute error = 2.256745491991738 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2221 Order of pole (three term test) = 0.9288 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.929999999999982 y[1] (analytic) = 0 y[1] (numeric) = 2.259311028234486 absolute error = 2.259311028234486 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2121 Order of pole (three term test) = 0.9271 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.939999999999981 y[1] (analytic) = 0 y[1] (numeric) = 2.261765280468097 absolute error = 2.261765280468097 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.202 Order of pole (three term test) = 0.9254 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.949999999999981 y[1] (analytic) = 0 y[1] (numeric) = 2.264107689508512 absolute error = 2.264107689508512 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.192 Order of pole (three term test) = 0.9238 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.959999999999981 y[1] (analytic) = 0 y[1] (numeric) = 2.266337706696925 absolute error = 2.266337706696925 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.182 Order of pole (three term test) = 0.9223 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.969999999999981 y[1] (analytic) = 0 y[1] (numeric) = 2.268454793251089 absolute error = 2.268454793251089 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.172 Order of pole (three term test) = 0.9209 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.97999999999998 y[1] (analytic) = 0 y[1] (numeric) = 2.270458419409105 absolute error = 2.270458419409105 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1619 Order of pole (three term test) = 0.9196 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.98999999999998 y[1] (analytic) = 0 y[1] (numeric) = 2.272348063311573 absolute error = 2.272348063311573 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1519 Order of pole (three term test) = 0.9185 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.99999999999998 y[1] (analytic) = 0 y[1] (numeric) = 2.274123209550674 absolute error = 2.274123209550674 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1419 Order of pole (three term test) = 0.9174 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = expt ( sin ( x ) , ( 0.2 * x + 0.3 ) ) ; Iterations = 291 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 30 Minutes 0.0 Seconds Percent Done = 100.7 %