##############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=10000000; glob_max_minutes=3; 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 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 = 4.331157807584951e-128 estimated_step_error = 4.331157807584951e-128 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 = 2.906564052633965e-120 estimated_step_error = 2.906564052633965e-120 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 = 1.950526214794959e-112 estimated_step_error = 1.950526214794959e-112 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 = 1.308927800108432e-104 estimated_step_error = 1.308927800108432e-104 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 = 8.783419120388355e-97 estimated_step_error = 8.783419120388355e-97 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 = 5.893585062851222e-89 estimated_step_error = 5.893585062851222e-89 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 = 3.953953854453334e-81 estimated_step_error = 3.953953854453334e-81 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 = 2.651892431817195e-73 estimated_step_error = 2.651892431817195e-73 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 = 1.777563355834717e-65 estimated_step_error = 1.777563355834717e-65 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 = 1.190105358431555e-57 estimated_step_error = 1.190105358431555e-57 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 = 7.949386347041289e-50 estimated_step_error = 7.949386347041289e-50 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 = 5.28543216198611e-42 estimated_step_error = 5.28543216198611e-42 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 = 3.482741540686268e-34 estimated_step_error = 3.482741540686268e-34 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 = 2.256176356837281e-26 estimated_step_error = 2.256176356837281e-26 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 = 1.419228170456367e-18 estimated_step_error = 1.419228170456367e-18 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 = 8.624666625805797e-11 estimated_step_error = 8.624666625805797e-11 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 Radius of convergence (ratio test) for eq 1 = 0.1231 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.09456 Order of pole (six term test) = -1.85 TOP MAIN SOLVE Loop x[1] = 0.11 y[1] (analytic) = 0 y[1] (numeric) = 0.005291656099419737 absolute error = 0.005291656099419737 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.1222 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.1342 Order of pole (six term test) = -0.6511 TOP MAIN SOLVE Loop x[1] = 0.12 y[1] (analytic) = 0 y[1] (numeric) = 0.01026071992030077 absolute error = 0.01026071992030077 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.1333 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.1485 Order of pole (six term test) = -0.6514 TOP MAIN SOLVE Loop x[1] = 0.13 y[1] (analytic) = 0 y[1] (numeric) = 0.01534361385184046 absolute error = 0.01534361385184046 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.1445 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.1629 Order of pole (six term test) = -0.6516 TOP MAIN SOLVE Loop x[1] = 0.14 y[1] (analytic) = 0 y[1] (numeric) = 0.02053369492671785 absolute error = 0.02053369492671785 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.1556 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.1774 Order of pole (six term test) = -0.652 TOP MAIN SOLVE Loop x[1] = 0.15 y[1] (analytic) = 0 y[1] (numeric) = 0.0258251916839097 absolute error = 0.0258251916839097 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.1667 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.1919 Order of pole (six term test) = -0.6524 TOP MAIN SOLVE Loop x[1] = 0.16 y[1] (analytic) = 0 y[1] (numeric) = 0.03121304245125891 absolute error = 0.03121304245125891 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.1778 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.2066 Order of pole (six term test) = -0.6528 TOP MAIN SOLVE Loop x[1] = 0.17 y[1] (analytic) = 0 y[1] (numeric) = 0.03669277171600322 absolute error = 0.03669277171600322 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.1889 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.2213 Order of pole (six term test) = -0.6534 TOP MAIN SOLVE Loop x[1] = 0.18 y[1] (analytic) = 0 y[1] (numeric) = 0.04226039388862046 absolute error = 0.04226039388862046 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.2 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.236 Order of pole (six term test) = -0.6539 TOP MAIN SOLVE Loop x[1] = 0.1900000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.04791233720059754 absolute error = 0.04791233720059754 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.2111 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.2509 Order of pole (six term test) = -0.6545 TOP MAIN SOLVE Loop x[1] = 0.2000000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.0536453826840099 absolute error = 0.0536453826840099 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.2222 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.2657 Order of pole (six term test) = -0.6552 TOP MAIN SOLVE Loop x[1] = 0.2100000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.05945661463915267 absolute error = 0.05945661463915267 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.2334 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.2807 Order of pole (six term test) = -0.6559 TOP MAIN SOLVE Loop x[1] = 0.2200000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.06534337998390548 absolute error = 0.06534337998390548 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.2445 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.2956 Order of pole (six term test) = -0.6567 TOP MAIN SOLVE Loop x[1] = 0.2300000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.07130325456178083 absolute error = 0.07130325456178083 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.2556 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.3106 Order of pole (six term test) = -0.6575 TOP MAIN SOLVE Loop x[1] = 0.2400000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.07733401496765425 absolute error = 0.07733401496765425 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.2667 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.3256 Order of pole (six term test) = -0.6584 TOP MAIN SOLVE Loop x[1] = 0.2500000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.08343361479623604 absolute error = 0.08343361479623604 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.2778 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.3407 Order of pole (six term test) = -0.6593 TOP MAIN SOLVE Loop x[1] = 0.2600000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.08960016447072122 absolute error = 0.08960016447072122 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.2889 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.3557 Order of pole (six term test) = -0.6602 TOP MAIN SOLVE Loop x[1] = 0.2700000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.09583191399575797 absolute error = 0.09583191399575797 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.3 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.3708 Order of pole (six term test) = -0.6612 TOP MAIN SOLVE Loop x[1] = 0.2800000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.1021272381188046 absolute error = 0.1021272381188046 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.3111 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.386 Order of pole (six term test) = -0.6623 TOP MAIN SOLVE Loop x[1] = 0.2900000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.1084846234900805 absolute error = 0.1084846234900805 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.3222 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.4011 Order of pole (six term test) = -0.6633 TOP MAIN SOLVE Loop x[1] = 0.3000000000000002 y[1] (analytic) = 0 y[1] (numeric) = 0.1149026574927069 absolute error = 0.1149026574927069 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.3334 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.4162 Order of pole (six term test) = -0.6644 TOP MAIN SOLVE Loop x[1] = 0.3100000000000002 y[1] (analytic) = 0 y[1] (numeric) = 0.1213800184776812 absolute error = 0.1213800184776812 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.3445 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.4314 Order of pole (six term test) = -0.6656 TOP MAIN SOLVE Loop x[1] = 0.3200000000000002 y[1] (analytic) = 0 y[1] (numeric) = 0.1279154671876332 absolute error = 0.1279154671876332 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.3556 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.4466 Order of pole (six term test) = -0.6668 TOP MAIN SOLVE Loop x[1] = 0.3300000000000002 y[1] (analytic) = 0 y[1] (numeric) = 0.1345078391921979 absolute error = 0.1345078391921979 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.3667 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.4617 Order of pole (six term test) = -0.668 TOP MAIN SOLVE Loop x[1] = 0.3400000000000002 y[1] (analytic) = 0 y[1] (numeric) = 0.1411560381887652 absolute error = 0.1411560381887652 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.3778 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.4769 Order of pole (six term test) = -0.6692 TOP MAIN SOLVE Loop x[1] = 0.3500000000000002 y[1] (analytic) = 0 y[1] (numeric) = 0.1478590300471439 absolute error = 0.1478590300471439 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.3889 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.4921 Order of pole (six term test) = -0.6705 TOP MAIN SOLVE Loop x[1] = 0.3600000000000002 y[1] (analytic) = 0 y[1] (numeric) = 0.1546158374966735 absolute error = 0.1546158374966735 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.4 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.5073 Order of pole (six term test) = -0.6718 TOP MAIN SOLVE Loop x[1] = 0.3700000000000002 y[1] (analytic) = 0 y[1] (numeric) = 0.1614255353705531 absolute error = 0.1614255353705531 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.4111 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.5225 Order of pole (six term test) = -0.6732 TOP MAIN SOLVE Loop x[1] = 0.3800000000000002 y[1] (analytic) = 0 y[1] (numeric) = 0.1682872463354365 absolute error = 0.1682872463354365 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.4222 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.5378 Order of pole (six term test) = -0.6746 TOP MAIN SOLVE Loop x[1] = 0.3900000000000002 y[1] (analytic) = 0 y[1] (numeric) = 0.175200137045253 absolute error = 0.175200137045253 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.4333 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.553 Order of pole (six term test) = -0.676 TOP MAIN SOLVE Loop x[1] = 0.4000000000000002 y[1] (analytic) = 0 y[1] (numeric) = 0.1821634146672365 absolute error = 0.1821634146672365 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.4444 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.5682 Order of pole (six term test) = -0.6774 TOP MAIN SOLVE Loop x[1] = 0.4100000000000003 y[1] (analytic) = 0 y[1] (numeric) = 0.1891763237356436 absolute error = 0.1891763237356436 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.4556 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.5834 Order of pole (six term test) = -0.6789 TOP MAIN SOLVE Loop x[1] = 0.4200000000000003 y[1] (analytic) = 0 y[1] (numeric) = 0.1962381432949045 absolute error = 0.1962381432949045 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.4667 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.5986 Order of pole (six term test) = -0.6803 TOP MAIN SOLVE Loop x[1] = 0.4300000000000003 y[1] (analytic) = 0 y[1] (numeric) = 0.2033481842992023 absolute error = 0.2033481842992023 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.4778 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.6138 Order of pole (six term test) = -0.6819 TOP MAIN SOLVE Loop x[1] = 0.4400000000000003 y[1] (analytic) = 0 y[1] (numeric) = 0.210505787239908 absolute error = 0.210505787239908 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.4889 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.6291 Order of pole (six term test) = -0.6834 TOP MAIN SOLVE Loop x[1] = 0.4500000000000003 y[1] (analytic) = 0 y[1] (numeric) = 0.2177103199760415 absolute error = 0.2177103199760415 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.5 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.6443 Order of pole (six term test) = -0.685 TOP MAIN SOLVE Loop x[1] = 0.4600000000000003 y[1] (analytic) = 0 y[1] (numeric) = 0.2249611757461197 absolute error = 0.2249611757461197 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.5111 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.6595 Order of pole (six term test) = -0.6866 TOP MAIN SOLVE Loop x[1] = 0.4700000000000003 y[1] (analytic) = 0 y[1] (numeric) = 0.2322577713424631 absolute error = 0.2322577713424631 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.5222 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.6747 Order of pole (six term test) = -0.6882 TOP MAIN SOLVE Loop x[1] = 0.4800000000000003 y[1] (analytic) = 0 y[1] (numeric) = 0.2395995454313632 absolute error = 0.2395995454313632 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.5333 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.6899 Order of pole (six term test) = -0.6898 TOP MAIN SOLVE Loop x[1] = 0.4900000000000003 y[1] (analytic) = 0 y[1] (numeric) = 0.2469859570045076 absolute error = 0.2469859570045076 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.5444 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.7051 Order of pole (six term test) = -0.6915 TOP MAIN SOLVE Loop x[1] = 0.5000000000000003 y[1] (analytic) = 0 y[1] (numeric) = 0.254416483948784 absolute error = 0.254416483948784 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.5555 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.7203 Order of pole (six term test) = -0.6932 TOP MAIN SOLVE Loop x[1] = 0.5100000000000003 y[1] (analytic) = 0 y[1] (numeric) = 0.2618906217230715 absolute error = 0.2618906217230715 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.5666 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.7355 Order of pole (six term test) = -0.6949 TOP MAIN SOLVE Loop x[1] = 0.5200000000000004 y[1] (analytic) = 0 y[1] (numeric) = 0.269407882131922 absolute error = 0.269407882131922 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.5777 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.7507 Order of pole (six term test) = -0.6966 TOP MAIN SOLVE Loop x[1] = 0.5300000000000004 y[1] (analytic) = 0 y[1] (numeric) = 0.2769677921871549 absolute error = 0.2769677921871549 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.5888 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.7659 Order of pole (six term test) = -0.6984 TOP MAIN SOLVE Loop x[1] = 0.5400000000000004 y[1] (analytic) = 0 y[1] (numeric) = 0.2845698930493702 absolute error = 0.2845698930493702 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.5999 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.7811 Order of pole (six term test) = -0.7001 TOP MAIN SOLVE Loop x[1] = 0.5500000000000004 y[1] (analytic) = 0 y[1] (numeric) = 0.2922137390422427 absolute error = 0.2922137390422427 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.611 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.7963 Order of pole (six term test) = -0.7019 TOP MAIN SOLVE Loop x[1] = 0.5600000000000004 y[1] (analytic) = 0 y[1] (numeric) = 0.2998988967332102 absolute error = 0.2998988967332102 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.6221 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.8115 Order of pole (six term test) = -0.7038 TOP MAIN SOLVE Loop x[1] = 0.5700000000000004 y[1] (analytic) = 0 y[1] (numeric) = 0.3076249440748304 absolute error = 0.3076249440748304 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.6332 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.8266 Order of pole (six term test) = -0.7056 TOP MAIN SOLVE Loop x[1] = 0.5800000000000004 y[1] (analytic) = 0 y[1] (numeric) = 0.3153914696016633 absolute error = 0.3153914696016633 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.6443 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.8418 Order of pole (six term test) = -0.7074 TOP MAIN SOLVE Loop x[1] = 0.5900000000000004 y[1] (analytic) = 0 y[1] (numeric) = 0.3231980716780508 absolute error = 0.3231980716780508 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.6555 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.8569 Order of pole (six term test) = -0.7093 TOP MAIN SOLVE Loop x[1] = 0.6000000000000004 y[1] (analytic) = 0 y[1] (numeric) = 0.3310443577926188 absolute error = 0.3310443577926188 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.6666 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.8721 Order of pole (six term test) = -0.7112 TOP MAIN SOLVE Loop x[1] = 0.6100000000000004 y[1] (analytic) = 0 y[1] (numeric) = 0.3389299438957328 absolute error = 0.3389299438957328 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.6777 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.8872 Order of pole (six term test) = -0.7131 TOP MAIN SOLVE Loop x[1] = 0.6200000000000004 y[1] (analytic) = 0 y[1] (numeric) = 0.3468544537764962 absolute error = 0.3468544537764962 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.6888 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.9024 Order of pole (six term test) = -0.715 TOP MAIN SOLVE Loop x[1] = 0.6300000000000004 y[1] (analytic) = 0 y[1] (numeric) = 0.3548175184762003 absolute error = 0.3548175184762003 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.6999 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.9175 Order of pole (six term test) = -0.717 TOP MAIN SOLVE Loop x[1] = 0.6400000000000005 y[1] (analytic) = 0 y[1] (numeric) = 0.3628187757354202 absolute error = 0.3628187757354202 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.711 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.9326 Order of pole (six term test) = -0.7189 TOP MAIN SOLVE Loop x[1] = 0.6500000000000005 y[1] (analytic) = 0 y[1] (numeric) = 0.3708578694722062 absolute error = 0.3708578694722062 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.7221 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.9477 Order of pole (six term test) = -0.7209 TOP MAIN SOLVE Loop x[1] = 0.6600000000000005 y[1] (analytic) = 0 y[1] (numeric) = 0.3789344492890486 absolute error = 0.3789344492890486 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.7332 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.9628 Order of pole (six term test) = -0.7229 TOP MAIN SOLVE Loop x[1] = 0.6700000000000005 y[1] (analytic) = 0 y[1] (numeric) = 0.3870481700064999 absolute error = 0.3870481700064999 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.7443 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.9779 Order of pole (six term test) = -0.7249 TOP MAIN SOLVE Loop x[1] = 0.6800000000000005 y[1] (analytic) = 0 y[1] (numeric) = 0.3951986912215201 absolute error = 0.3951986912215201 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.7554 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.993 Order of pole (six term test) = -0.7269 TOP MAIN SOLVE Loop x[1] = 0.6900000000000005 y[1] (analytic) = 0 y[1] (numeric) = 0.4033856768887801 absolute error = 0.4033856768887801 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.7665 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.008 Order of pole (six term test) = -0.7289 TOP MAIN SOLVE Loop x[1] = 0.7000000000000005 y[1] (analytic) = 0 y[1] (numeric) = 0.4116087949233054 absolute error = 0.4116087949233054 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.7776 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.023 Order of pole (six term test) = -0.731 TOP MAIN SOLVE Loop x[1] = 0.7100000000000005 y[1] (analytic) = 0 y[1] (numeric) = 0.4198677168229777 absolute error = 0.4198677168229777 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.7887 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.038 Order of pole (six term test) = -0.733 TOP MAIN SOLVE Loop x[1] = 0.7200000000000005 y[1] (analytic) = 0 y[1] (numeric) = 0.4281621173095356 absolute error = 0.4281621173095356 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.7998 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.053 Order of pole (six term test) = -0.7351 TOP MAIN SOLVE Loop x[1] = 0.7300000000000005 y[1] (analytic) = 0 y[1] (numeric) = 0.4364916739868248 absolute error = 0.4364916739868248 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.8109 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.068 Order of pole (six term test) = -0.7372 TOP MAIN SOLVE Loop x[1] = 0.7400000000000005 y[1] (analytic) = 0 y[1] (numeric) = 0.4448560670151485 absolute error = 0.4448560670151485 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.8219 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.083 Order of pole (six term test) = -0.7393 TOP MAIN SOLVE Loop x[1] = 0.7500000000000006 y[1] (analytic) = 0 y[1] (numeric) = 0.4532549788006626 absolute error = 0.4532549788006626 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.833 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.098 Order of pole (six term test) = -0.7414 TOP MAIN SOLVE Loop x[1] = 0.7600000000000006 y[1] (analytic) = 0 y[1] (numeric) = 0.4616880936988383 absolute error = 0.4616880936988383 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.8441 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.113 Order of pole (six term test) = -0.7435 TOP MAIN SOLVE Loop x[1] = 0.7700000000000006 y[1] (analytic) = 0 y[1] (numeric) = 0.4701550977310958 absolute error = 0.4701550977310958 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.8552 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.128 Order of pole (six term test) = -0.7457 TOP MAIN SOLVE Loop x[1] = 0.7800000000000006 y[1] (analytic) = 0 y[1] (numeric) = 0.4786556783137767 absolute error = 0.4786556783137767 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.8663 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.143 Order of pole (six term test) = -0.7478 TOP MAIN SOLVE Loop x[1] = 0.7900000000000006 y[1] (analytic) = 0 y[1] (numeric) = 0.4871895239986904 absolute error = 0.4871895239986904 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.8774 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.158 Order of pole (six term test) = -0.75 TOP MAIN SOLVE Loop x[1] = 0.8000000000000006 y[1] (analytic) = 0 y[1] (numeric) = 0.4957563242245221 absolute error = 0.4957563242245221 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.8885 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.173 Order of pole (six term test) = -0.7522 TOP MAIN SOLVE Loop x[1] = 0.8100000000000006 y[1] (analytic) = 0 y[1] (numeric) = 0.5043557690784478 absolute error = 0.5043557690784478 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.8996 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.188 Order of pole (six term test) = -0.7544 TOP MAIN SOLVE Loop x[1] = 0.8200000000000006 y[1] (analytic) = 0 y[1] (numeric) = 0.5129875490673452 absolute error = 0.5129875490673452 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.9107 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.203 Order of pole (six term test) = -0.7566 TOP MAIN SOLVE Loop x[1] = 0.8300000000000006 y[1] (analytic) = 0 y[1] (numeric) = 0.5216513548980379 absolute error = 0.5216513548980379 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.9218 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.218 Order of pole (six term test) = -0.7589 TOP MAIN SOLVE Loop x[1] = 0.8400000000000006 y[1] (analytic) = 0 y[1] (numeric) = 0.5303468772660476 absolute error = 0.5303468772660476 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.9329 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.233 Order of pole (six term test) = -0.7611 TOP MAIN SOLVE Loop x[1] = 0.8500000000000006 y[1] (analytic) = 0 y[1] (numeric) = 0.5390738066523675 absolute error = 0.5390738066523675 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.944 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.248 Order of pole (six term test) = -0.7634 TOP MAIN SOLVE Loop x[1] = 0.8600000000000007 y[1] (analytic) = 0 y[1] (numeric) = 0.5478318331278059 absolute error = 0.5478318331278059 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.9551 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.263 Order of pole (six term test) = -0.7658 TOP MAIN SOLVE Loop x[1] = 0.8700000000000007 y[1] (analytic) = 0 y[1] (numeric) = 0.5566206461644778 absolute error = 0.5566206461644778 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.9662 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.279 Order of pole (six term test) = -0.7682 TOP MAIN SOLVE Loop x[1] = 0.8800000000000007 y[1] (analytic) = 0 y[1] (numeric) = 0.5654399344540538 absolute error = 0.5654399344540538 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.9773 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.294 Order of pole (six term test) = -0.7707 TOP MAIN SOLVE Loop x[1] = 0.8900000000000007 y[1] (analytic) = 0 y[1] (numeric) = 0.5742893857324022 absolute error = 0.5742893857324022 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.9884 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.309 Order of pole (six term test) = -0.7733 TOP MAIN SOLVE Loop x[1] = 0.9000000000000007 y[1] (analytic) = 0 y[1] (numeric) = 0.5831686866102829 absolute error = 0.5831686866102829 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.9994 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.325 Order of pole (six term test) = -0.776 TOP MAIN SOLVE Loop x[1] = 0.9100000000000007 y[1] (analytic) = 0 y[1] (numeric) = 0.5920775224097793 absolute error = 0.5920775224097793 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.011 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.341 Order of pole (six term test) = -0.779 TOP MAIN SOLVE Loop x[1] = 0.9200000000000007 y[1] (analytic) = 0 y[1] (numeric) = 0.6010155770061701 absolute error = 0.6010155770061701 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.022 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.358 Order of pole (six term test) = -0.7822 TOP MAIN SOLVE Loop x[1] = 0.9300000000000007 y[1] (analytic) = 0 y[1] (numeric) = 0.6099825326749674 absolute error = 0.6099825326749674 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.033 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.375 Order of pole (six term test) = -0.7858 TOP MAIN SOLVE Loop x[1] = 0.9400000000000007 y[1] (analytic) = 0 y[1] (numeric) = 0.6189780699438624 absolute error = 0.6189780699438624 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.044 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.393 Order of pole (six term test) = -0.79 TOP MAIN SOLVE Loop x[1] = 0.9500000000000007 y[1] (analytic) = 0 y[1] (numeric) = 0.6280018674493402 absolute error = 0.6280018674493402 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.055 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.412 Order of pole (six term test) = -0.795 TOP MAIN SOLVE Loop x[1] = 0.9600000000000007 y[1] (analytic) = 0 y[1] (numeric) = 0.6370536017977376 absolute error = 0.6370536017977376 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.066 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.433 Order of pole (six term test) = -0.801 TOP MAIN SOLVE Loop x[1] = 0.9700000000000008 y[1] (analytic) = 0 y[1] (numeric) = 0.6461329474305355 absolute error = 0.6461329474305355 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.077 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.457 Order of pole (six term test) = -0.8087 TOP MAIN SOLVE Loop x[1] = 0.9800000000000008 y[1] (analytic) = 0 y[1] (numeric) = 0.6552395764936887 absolute error = 0.6552395764936887 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.088 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.484 Order of pole (six term test) = -0.8185 TOP MAIN SOLVE Loop x[1] = 0.9900000000000008 y[1] (analytic) = 0 y[1] (numeric) = 0.6643731587108103 absolute error = 0.6643731587108103 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.099 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.517 Order of pole (six term test) = -0.8315 TOP MAIN SOLVE Loop x[1] = 1.000000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.6735333612600399 absolute error = 0.6735333612600399 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.11 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.556 Order of pole (six term test) = -0.8491 TOP MAIN SOLVE Loop x[1] = 1.010000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.6827198486544341 absolute error = 0.6827198486544341 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.121 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.606 Order of pole (six term test) = -0.8736 TOP MAIN SOLVE Loop x[1] = 1.020000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.6919322826257295 absolute error = 0.6919322826257295 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.132 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.67 Order of pole (six term test) = -0.9083 TOP MAIN SOLVE Loop x[1] = 1.030000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.7011703220113387 absolute error = 0.7011703220113387 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.144 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.756 Order of pole (six term test) = -0.9591 TOP MAIN SOLVE Loop x[1] = 1.040000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.7104336226444468 absolute error = 0.7104336226444468 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.155 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.875 Order of pole (six term test) = -1.036 TOP MAIN SOLVE Loop x[1] = 1.050000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.719721837247086 absolute error = 0.719721837247086 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.166 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.047 Order of pole (six term test) = -1.161 TOP MAIN SOLVE Loop x[1] = 1.060000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.7290346153260744 absolute error = 0.7290346153260744 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.177 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.315 Order of pole (six term test) = -1.378 TOP MAIN SOLVE Loop x[1] = 1.070000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.7383716030717083 absolute error = 0.7383716030717083 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.188 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.778 Order of pole (six term test) = -1.825 TOP MAIN SOLVE Loop x[1] = 1.080000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.7477324432591119 absolute error = 0.7477324432591119 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.199 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 3.812 Order of pole (six term test) = -3.122 TOP MAIN SOLVE Loop x[1] = 1.090000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.7571167751521464 absolute error = 0.7571167751521464 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.21 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 12.25 Order of pole (six term test) = -29.03 TOP MAIN SOLVE Loop x[1] = 1.100000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.7665242344097927 absolute error = 0.7665242344097927 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.221 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.110000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.7759544529949255 absolute error = 0.7759544529949255 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.232 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.120000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.7854070590854011 absolute error = 0.7854070590854011 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.243 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.130000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.7948816769873882 absolute error = 0.7948816769873882 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.254 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.140000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.8043779270508746 absolute error = 0.8043779270508746 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.265 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.150000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.8138954255872881 absolute error = 0.8138954255872881 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.277 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.160000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.8234337847891722 absolute error = 0.8234337847891722 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.288 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.170000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.8329926126518649 absolute error = 0.8329926126518649 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.299 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.180000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.8425715128971287 absolute error = 0.8425715128971287 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.31 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.190000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.8521700848986868 absolute error = 0.8521700848986868 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.321 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.200000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.8617879236096208 absolute error = 0.8617879236096208 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.332 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.210000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.8714246194915913 absolute error = 0.8714246194915913 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.343 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.220000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.8810797584458455 absolute error = 0.8810797584458455 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.354 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.230000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.8907529217459755 absolute error = 0.8907529217459755 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.365 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.240000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.9004436859723985 absolute error = 0.9004436859723985 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.376 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.250000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.9101516229485298 absolute error = 0.9101516229485298 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.387 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.260000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.9198762996786219 absolute error = 0.9198762996786219 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.398 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.270000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.9296172782872473 absolute error = 0.9296172782872473 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.409 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.280000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.9393741159604027 absolute error = 0.9393741159604027 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.42 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.290000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.9491463648882162 absolute error = 0.9491463648882162 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.432 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.300000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.95893357220924 absolute error = 0.95893357220924 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.443 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.310000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.9687352799563125 absolute error = 0.9687352799563125 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.454 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.320000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.9785510250039781 absolute error = 0.9785510250039781 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.465 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.330000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.9883803390174521 absolute error = 0.9883803390174521 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.476 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.340000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.9982227484031211 absolute error = 0.9982227484031211 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.487 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.350000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.008077774260569 absolute error = 1.008077774260569 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.498 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.360000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.017944932336126 absolute error = 1.017944932336126 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.509 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.370000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.02782373297793 absolute error = 1.02782373297793 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.52 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.380000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.037713681092497 absolute error = 1.037713681092497 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.53 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.390000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.04761427610281 absolute error = 1.04761427610281 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.541 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.400000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.057525011907898 absolute error = 1.057525011907898 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.552 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.410000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.067445376843941 absolute error = 1.067445376843941 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.563 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.420000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.077374853646868 absolute error = 1.077374853646868 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.573 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.430000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.087312919416472 absolute error = 1.087312919416472 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.584 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.440000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.097259045582042 absolute error = 1.097259045582042 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.594 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.450000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.107212697869504 absolute error = 1.107212697869504 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.603 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.460000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.117173336270094 absolute error = 1.117173336270094 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.613 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.470000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.12714041501056 absolute error = 1.12714041501056 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.622 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.480000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.137113382524891 absolute error = 1.137113382524891 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.63 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.490000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.147091681427607 absolute error = 1.147091681427607 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.637 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.500000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.157074748488591 absolute error = 1.157074748488591 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.643 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.510000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.167062014609491 absolute error = 1.167062014609491 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.648 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.520000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.177052904801691 absolute error = 1.177052904801691 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.65 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.530000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.187046838165879 absolute error = 1.187046838165879 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.65 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.540000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.197043227873196 absolute error = 1.197043227873196 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.647 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.550000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.207041481148013 absolute error = 1.207041481148013 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.639 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.560000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.217040999252321 absolute error = 1.217040999252321 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.625 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.570000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.227041177471761 absolute error = 1.227041177471761 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.604 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.580000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.237041405103312 absolute error = 1.237041405103312 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.573 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.590000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.24704106544464 absolute error = 1.24704106544464 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.531 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.600000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.257039535785134 absolute error = 1.257039535785134 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.474 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.610000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.267036187398647 absolute error = 1.267036187398647 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.4 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.620000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.277030385537941 absolute error = 1.277030385537941 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.306 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.630000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.287021489430882 absolute error = 1.287021489430882 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) = 1.297008852278379 absolute error = 1.297008852278379 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) = 1.306991821254091 absolute error = 1.306991821254091 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) = 1.316969737505931 absolute error = 1.316969737505931 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) = 1.326941936159376 absolute error = 1.326941936159376 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) = 1.336907746322601 absolute error = 1.336907746322601 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 = 0.007554 Order of pole (three term test) = -0.5406 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.690000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.346866491093465 absolute error = 1.346866491093465 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 = 0.01767 Order of pole (three term test) = 0.9674 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.700000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.356817487568368 absolute error = 1.356817487568368 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 = 0.02914 Order of pole (three term test) = 3.789 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.710000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.366760046852991 absolute error = 1.366760046852991 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 = 0.04292 Order of pole (three term test) = 8.164 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.720000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.376693474074952 absolute error = 1.376693474074952 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 = 0.06012 Order of pole (three term test) = 14.45 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.730000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.38661706839839 absolute error = 1.38661706839839 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 = 0.08203 Order of pole (three term test) = 23.13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.740000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.396530123040503 absolute error = 1.396530123040503 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) = 34.82 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.750000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.406431925290064 absolute error = 1.406431925290064 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 = 0.1461 Order of pole (three term test) = 50.24 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.760000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.416321756527928 absolute error = 1.416321756527928 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 = 0.1917 Order of pole (three term test) = 70.18 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.770000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.426198892249569 absolute error = 1.426198892249569 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 = 0.2483 Order of pole (three term test) = 95.36 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.780000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.436062602089645 absolute error = 1.436062602089645 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 = 0.317 Order of pole (three term test) = 126.3 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.790000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.445912149848645 absolute error = 1.445912149848645 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.027 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.3978 Order of pole (three term test) = 163.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.800000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.455746793521608 absolute error = 1.455746793521608 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.108 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4893 Order of pole (three term test) = 205.4 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.810000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.465565785328967 absolute error = 1.465565785328967 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.173 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.5883 Order of pole (three term test) = 251.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.820000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.475368371749521 absolute error = 1.475368371749521 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.226 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.6904 Order of pole (three term test) = 300.1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.830000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.485153793555565 absolute error = 1.485153793555565 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.268 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.7902 Order of pole (three term test) = 348.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.840000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.494921285850209 absolute error = 1.494921285850209 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.3 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.8828 Order of pole (three term test) = 393.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.850000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.504670078106892 absolute error = 1.504670078106892 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.324 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.9642 Order of pole (three term test) = 434.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.860000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.51439939421114 absolute error = 1.51439939421114 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.342 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 1.032 Order of pole (three term test) = 470.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.870000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.524108452504564 absolute error = 1.524108452504564 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.354 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 1.087 Order of pole (three term test) = 499.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.880000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.533796465831147 absolute error = 1.533796465831147 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.361 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 1.128 Order of pole (three term test) = 523.3 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.890000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.54346264158583 absolute error = 1.54346264158583 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.365 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 1.158 Order of pole (three term test) = 541.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.900000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.553106181765421 absolute error = 1.553106181765421 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.366 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 1.178 Order of pole (three term test) = 556.2 Radius of convergence (six term test) for eq 1 = 0.2395 Order of pole (six term test) = -11.85 TOP MAIN SOLVE Loop x[1] = 1.910000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.56272628302186 absolute error = 1.56272628302186 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.365 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 1.191 Order of pole (three term test) = 566.9 Radius of convergence (six term test) for eq 1 = 0.9042 Order of pole (six term test) = -15.16 TOP MAIN SOLVE Loop x[1] = 1.920000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.572322136717854 absolute error = 1.572322136717854 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.361 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 1.197 Order of pole (three term test) = 574.9 Radius of convergence (six term test) for eq 1 = 1.343 Order of pole (six term test) = -19.47 TOP MAIN SOLVE Loop x[1] = 1.930000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.581892928984918 absolute error = 1.581892928984918 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.354 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 1.2 Order of pole (three term test) = 580.7 Radius of convergence (six term test) for eq 1 = 1.758 Order of pole (six term test) = -25.11 TOP MAIN SOLVE Loop x[1] = 1.940000000000002 y[1] (analytic) = 0 y[1] (numeric) = 1.591437840783834 absolute error = 1.591437840783834 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.344 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 1.198 Order of pole (three term test) = 584.9 Radius of convergence (six term test) for eq 1 = 2.187 Order of pole (six term test) = -32.55 TOP MAIN SOLVE Loop x[1] = 1.950000000000002 y[1] (analytic) = 0 y[1] (numeric) = 1.600956047967558 absolute error = 1.600956047967558 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.334 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 1.194 Order of pole (three term test) = 588 Radius of convergence (six term test) for eq 1 = 2.657 Order of pole (six term test) = -42.54 TOP MAIN SOLVE Loop x[1] = 1.960000000000002 y[1] (analytic) = 0 y[1] (numeric) = 1.6104467213466 absolute error = 1.6104467213466 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.324 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 1.189 Order of pole (three term test) = 590.1 Radius of convergence (six term test) for eq 1 = 3.192 Order of pole (six term test) = -56.29 TOP MAIN SOLVE Loop x[1] = 1.970000000000002 y[1] (analytic) = 0 y[1] (numeric) = 1.619909026756903 absolute error = 1.619909026756903 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.313 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 1.182 Order of pole (three term test) = 591.6 Radius of convergence (six term test) for eq 1 = 3.831 Order of pole (six term test) = -75.97 TOP MAIN SOLVE Loop x[1] = 1.980000000000002 y[1] (analytic) = 0 y[1] (numeric) = 1.629342125130236 absolute error = 1.629342125130236 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.302 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 1.174 Order of pole (three term test) = 592.6 Radius of convergence (six term test) for eq 1 = 4.636 Order of pole (six term test) = -105.8 TOP MAIN SOLVE Loop x[1] = 1.990000000000002 y[1] (analytic) = 0 y[1] (numeric) = 1.638745172567133 absolute error = 1.638745172567133 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.292 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 1.165 Order of pole (three term test) = 593.3 Radius of convergence (six term test) for eq 1 = 5.727 Order of pole (six term test) = -155.1 TOP MAIN SOLVE Loop x[1] = 2.000000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.648117320412402 absolute error = 1.648117320412402 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.281 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 1.156 Order of pole (three term test) = 593.7 Radius of convergence (six term test) for eq 1 = 7.38 Order of pole (six term test) = -249.2 TOP MAIN SOLVE Loop x[1] = 2.010000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.657457715333221 absolute error = 1.657457715333221 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.27 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 1.147 Order of pole (three term test) = 593.9 Radius of convergence (six term test) for eq 1 = 10.43 Order of pole (six term test) = -483.3 TOP MAIN SOLVE Loop x[1] = 2.020000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.66676549939985 absolute error = 1.66676549939985 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.259 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 1.137 Order of pole (three term test) = 594 Radius of convergence (six term test) for eq 1 = 20.17 Order of pole (six term test) = -1762 TOP MAIN SOLVE Loop x[1] = 2.030000000000001 y[1] (analytic) = 0 y[1] (numeric) = 1.676039810168984 absolute error = 1.676039810168984 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.248 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 1.127 Order of pole (three term test) = 594 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.04 y[1] (analytic) = 0 y[1] (numeric) = 1.68527978076976 absolute error = 1.68527978076976 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.237 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 1.117 Order of pole (three term test) = 594 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.05 y[1] (analytic) = 0 y[1] (numeric) = 1.694484539992452 absolute error = 1.694484539992452 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.227 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 1.106 Order of pole (three term test) = 593.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.06 y[1] (analytic) = 0 y[1] (numeric) = 1.703653212379874 absolute error = 1.703653212379874 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.216 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 1.096 Order of pole (three term test) = 593.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.07 y[1] (analytic) = 0 y[1] (numeric) = 1.712784918321505 absolute error = 1.712784918321505 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.205 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 1.086 Order of pole (three term test) = 593.6 Radius of convergence (six term test) for eq 1 = 16.61 Order of pole (six term test) = -1056 TOP MAIN SOLVE Loop x[1] = 2.08 y[1] (analytic) = 0 y[1] (numeric) = 1.721878774150374 absolute error = 1.721878774150374 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.194 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 1.076 Order of pole (three term test) = 593.4 Radius of convergence (six term test) for eq 1 = 8.731 Order of pole (six term test) = -282.8 TOP MAIN SOLVE Loop x[1] = 2.089999999999999 y[1] (analytic) = 0 y[1] (numeric) = 1.730933892242708 absolute error = 1.730933892242708 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.183 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 1.065 Order of pole (three term test) = 593.2 Radius of convergence (six term test) for eq 1 = 6.065 Order of pole (six term test) = -131.7 TOP MAIN SOLVE Loop x[1] = 2.099999999999999 y[1] (analytic) = 0 y[1] (numeric) = 1.739949381120379 absolute error = 1.739949381120379 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.172 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 1.055 Order of pole (three term test) = 593 Radius of convergence (six term test) for eq 1 = 4.63 Order of pole (six term test) = -73.6 TOP MAIN SOLVE Loop x[1] = 2.109999999999999 y[1] (analytic) = 0 y[1] (numeric) = 1.748924345556169 absolute error = 1.748924345556169 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.161 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 1.045 Order of pole (three term test) = 592.8 Radius of convergence (six term test) for eq 1 = 3.72 Order of pole (six term test) = -45.23 TOP MAIN SOLVE Loop x[1] = 2.119999999999999 y[1] (analytic) = 0 y[1] (numeric) = 1.757857886681862 absolute error = 1.757857886681862 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.15 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 1.034 Order of pole (three term test) = 592.6 Radius of convergence (six term test) for eq 1 = 3.091 Order of pole (six term test) = -29.49 TOP MAIN SOLVE Loop x[1] = 2.129999999999999 y[1] (analytic) = 0 y[1] (numeric) = 1.766749102099205 absolute error = 1.766749102099205 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.139 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 1.024 Order of pole (three term test) = 592.4 Radius of convergence (six term test) for eq 1 = 2.635 Order of pole (six term test) = -20.06 TOP MAIN SOLVE Loop x[1] = 2.139999999999998 y[1] (analytic) = 0 y[1] (numeric) = 1.775597085993728 absolute error = 1.775597085993728 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.128 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 1.014 Order of pole (three term test) = 592.2 Radius of convergence (six term test) for eq 1 = 2.295 Order of pole (six term test) = -14.1 TOP MAIN SOLVE Loop x[1] = 2.149999999999998 y[1] (analytic) = 0 y[1] (numeric) = 1.784400929251482 absolute error = 1.784400929251482 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.117 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 1.003 Order of pole (three term test) = 592 Radius of convergence (six term test) for eq 1 = 2.036 Order of pole (six term test) = -10.2 TOP MAIN SOLVE Loop x[1] = 2.159999999999998 y[1] (analytic) = 0 y[1] (numeric) = 1.793159719578671 absolute error = 1.793159719578671 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.106 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.993 Order of pole (three term test) = 591.7 Radius of convergence (six term test) for eq 1 = 1.836 Order of pole (six term test) = -7.574 TOP MAIN SOLVE Loop x[1] = 2.169999999999998 y[1] (analytic) = 0 y[1] (numeric) = 1.801872541624232 absolute error = 1.801872541624232 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.094 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.9827 Order of pole (three term test) = 591.5 Radius of convergence (six term test) for eq 1 = 1.682 Order of pole (six term test) = -5.775 TOP MAIN SOLVE Loop x[1] = 2.179999999999997 y[1] (analytic) = 0 y[1] (numeric) = 1.810538477105358 absolute error = 1.810538477105358 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.083 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.9723 Order of pole (three term test) = 591.3 Radius of convergence (six term test) for eq 1 = 1.562 Order of pole (six term test) = -4.524 TOP MAIN SOLVE Loop x[1] = 2.189999999999997 y[1] (analytic) = 0 y[1] (numeric) = 1.819156604935999 absolute error = 1.819156604935999 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.072 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.962 Order of pole (three term test) = 591.1 Radius of convergence (six term test) for eq 1 = 1.468 Order of pole (six term test) = -3.645 TOP MAIN SOLVE Loop x[1] = 2.199999999999997 y[1] (analytic) = 0 y[1] (numeric) = 1.82772600135834 absolute error = 1.82772600135834 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.061 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.9517 Order of pole (three term test) = 590.9 Radius of convergence (six term test) for eq 1 = 1.394 Order of pole (six term test) = -3.023 TOP MAIN SOLVE Loop x[1] = 2.209999999999997 y[1] (analytic) = 0 y[1] (numeric) = 1.836245740077292 absolute error = 1.836245740077292 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.05 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.9414 Order of pole (three term test) = 590.7 Radius of convergence (six term test) for eq 1 = 1.336 Order of pole (six term test) = -2.58 TOP MAIN SOLVE Loop x[1] = 2.219999999999997 y[1] (analytic) = 0 y[1] (numeric) = 1.84471489239799 absolute error = 1.84471489239799 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.039 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.9311 Order of pole (three term test) = 590.5 Radius of convergence (six term test) for eq 1 = 1.29 Order of pole (six term test) = -2.264 TOP MAIN SOLVE Loop x[1] = 2.229999999999996 y[1] (analytic) = 0 y[1] (numeric) = 1.853132527366338 absolute error = 1.853132527366338 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.028 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.9208 Order of pole (three term test) = 590.3 Radius of convergence (six term test) for eq 1 = 1.253 Order of pole (six term test) = -2.037 TOP MAIN SOLVE Loop x[1] = 2.239999999999996 y[1] (analytic) = 0 y[1] (numeric) = 1.86149771191259 absolute error = 1.86149771191259 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.017 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.9105 Order of pole (three term test) = 590.1 Radius of convergence (six term test) for eq 1 = 1.223 Order of pole (six term test) = -1.875 TOP MAIN SOLVE Loop x[1] = 2.249999999999996 y[1] (analytic) = 0 y[1] (numeric) = 1.869809510998003 absolute error = 1.869809510998003 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.006 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.9002 Order of pole (three term test) = 589.9 Radius of convergence (six term test) for eq 1 = 1.198 Order of pole (six term test) = -1.758 TOP MAIN SOLVE Loop x[1] = 2.259999999999996 y[1] (analytic) = 0 y[1] (numeric) = 1.878066987764556 absolute error = 1.878066987764556 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.9948 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.89 Order of pole (three term test) = 589.7 Radius of convergence (six term test) for eq 1 = 1.176 Order of pole (six term test) = -1.674 TOP MAIN SOLVE Loop x[1] = 2.269999999999996 y[1] (analytic) = 0 y[1] (numeric) = 1.886269203687766 absolute error = 1.886269203687766 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.9838 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.8797 Order of pole (three term test) = 589.5 Radius of convergence (six term test) for eq 1 = 1.158 Order of pole (six term test) = -1.615 TOP MAIN SOLVE Loop x[1] = 2.279999999999995 y[1] (analytic) = 0 y[1] (numeric) = 1.894415218732591 absolute error = 1.894415218732591 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.9727 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.8694 Order of pole (three term test) = 589.3 Radius of convergence (six term test) for eq 1 = 1.141 Order of pole (six term test) = -1.572 TOP MAIN SOLVE Loop x[1] = 2.289999999999995 y[1] (analytic) = 0 y[1] (numeric) = 1.902504091512453 absolute error = 1.902504091512453 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.9615 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.8592 Order of pole (three term test) = 589.1 Radius of convergence (six term test) for eq 1 = 1.127 Order of pole (six term test) = -1.541 TOP MAIN SOLVE Loop x[1] = 2.299999999999995 y[1] (analytic) = 0 y[1] (numeric) = 1.910534879451369 absolute error = 1.910534879451369 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.9504 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.8489 Order of pole (three term test) = 588.9 Radius of convergence (six term test) for eq 1 = 1.113 Order of pole (six term test) = -1.52 TOP MAIN SOLVE Loop x[1] = 2.309999999999995 y[1] (analytic) = 0 y[1] (numeric) = 1.918506638949211 absolute error = 1.918506638949211 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.9393 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.8387 Order of pole (three term test) = 588.7 Radius of convergence (six term test) for eq 1 = 1.1 Order of pole (six term test) = -1.504 TOP MAIN SOLVE Loop x[1] = 2.319999999999995 y[1] (analytic) = 0 y[1] (numeric) = 1.926418425550108 absolute error = 1.926418425550108 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.9282 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.8284 Order of pole (three term test) = 588.5 Radius of convergence (six term test) for eq 1 = 1.088 Order of pole (six term test) = -1.494 TOP MAIN SOLVE Loop x[1] = 2.329999999999994 y[1] (analytic) = 0 y[1] (numeric) = 1.934269294113972 absolute error = 1.934269294113972 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.9171 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.8182 Order of pole (three term test) = 588.3 Radius of convergence (six term test) for eq 1 = 1.076 Order of pole (six term test) = -1.486 TOP MAIN SOLVE Loop x[1] = 2.339999999999994 y[1] (analytic) = 0 y[1] (numeric) = 1.942058298991179 absolute error = 1.942058298991179 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.9059 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.8079 Order of pole (three term test) = 588.1 Radius of convergence (six term test) for eq 1 = 1.065 Order of pole (six term test) = -1.481 TOP MAIN SOLVE Loop x[1] = 2.349999999999994 y[1] (analytic) = 0 y[1] (numeric) = 1.949784494200398 absolute error = 1.949784494200398 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.8948 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.7977 Order of pole (three term test) = 587.9 Radius of convergence (six term test) for eq 1 = 1.054 Order of pole (six term test) = -1.478 TOP MAIN SOLVE Loop x[1] = 2.359999999999994 y[1] (analytic) = 0 y[1] (numeric) = 1.957446933609564 absolute error = 1.957446933609564 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.8837 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.7875 Order of pole (three term test) = 587.8 Radius of convergence (six term test) for eq 1 = 1.043 Order of pole (six term test) = -1.476 TOP MAIN SOLVE Loop x[1] = 2.369999999999993 y[1] (analytic) = 0 y[1] (numeric) = 1.965044671120004 absolute error = 1.965044671120004 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.8725 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.7773 Order of pole (three term test) = 587.6 Radius of convergence (six term test) for eq 1 = 1.032 Order of pole (six term test) = -1.474 TOP MAIN SOLVE Loop x[1] = 2.379999999999993 y[1] (analytic) = 0 y[1] (numeric) = 1.972576760853718 absolute error = 1.972576760853718 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.8614 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.767 Order of pole (three term test) = 587.4 Radius of convergence (six term test) for eq 1 = 1.021 Order of pole (six term test) = -1.474 TOP MAIN SOLVE Loop x[1] = 2.389999999999993 y[1] (analytic) = 0 y[1] (numeric) = 1.980042257343797 absolute error = 1.980042257343797 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.8502 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.7568 Order of pole (three term test) = 587.2 Radius of convergence (six term test) for eq 1 = 1.011 Order of pole (six term test) = -1.474 TOP MAIN SOLVE Loop x[1] = 2.399999999999993 y[1] (analytic) = 0 y[1] (numeric) = 1.987440215727994 absolute error = 1.987440215727994 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.8391 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.7466 Order of pole (three term test) = 587 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.474 TOP MAIN SOLVE Loop x[1] = 2.409999999999993 y[1] (analytic) = 0 y[1] (numeric) = 1.994769691945425 absolute error = 1.994769691945425 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.8279 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.7364 Order of pole (three term test) = 586.8 Radius of convergence (six term test) for eq 1 = 0.9894 Order of pole (six term test) = -1.474 TOP MAIN SOLVE Loop x[1] = 2.419999999999992 y[1] (analytic) = 0 y[1] (numeric) = 2.0020297429364 absolute error = 2.0020297429364 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.8167 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.7262 Order of pole (three term test) = 586.7 Radius of convergence (six term test) for eq 1 = 0.9788 Order of pole (six term test) = -1.474 TOP MAIN SOLVE Loop x[1] = 2.429999999999992 y[1] (analytic) = 0 y[1] (numeric) = 2.009219426845372 absolute error = 2.009219426845372 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.8056 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.716 Order of pole (three term test) = 586.5 Radius of convergence (six term test) for eq 1 = 0.9682 Order of pole (six term test) = -1.475 TOP MAIN SOLVE Loop x[1] = 2.439999999999992 y[1] (analytic) = 0 y[1] (numeric) = 2.016337803226993 absolute error = 2.016337803226993 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.7944 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.7059 Order of pole (three term test) = 586.3 Radius of convergence (six term test) for eq 1 = 0.9576 Order of pole (six term test) = -1.476 TOP MAIN SOLVE Loop x[1] = 2.449999999999992 y[1] (analytic) = 0 y[1] (numeric) = 2.023383933255249 absolute error = 2.023383933255249 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.7832 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.6957 Order of pole (three term test) = 586.1 Radius of convergence (six term test) for eq 1 = 0.947 Order of pole (six term test) = -1.477 TOP MAIN SOLVE Loop x[1] = 2.459999999999992 y[1] (analytic) = 0 y[1] (numeric) = 2.03035687993568 absolute error = 2.03035687993568 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.772 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.6855 Order of pole (three term test) = 585.9 Radius of convergence (six term test) for eq 1 = 0.9365 Order of pole (six term test) = -1.477 TOP MAIN SOLVE Loop x[1] = 2.469999999999991 y[1] (analytic) = 0 y[1] (numeric) = 2.03725570832064 absolute error = 2.03725570832064 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.7608 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.6753 Order of pole (three term test) = 585.8 Radius of convergence (six term test) for eq 1 = 0.9259 Order of pole (six term test) = -1.478 TOP MAIN SOLVE Loop x[1] = 2.479999999999991 y[1] (analytic) = 0 y[1] (numeric) = 2.044079485727578 absolute error = 2.044079485727578 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.7496 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.6651 Order of pole (three term test) = 585.6 Radius of convergence (six term test) for eq 1 = 0.9153 Order of pole (six term test) = -1.479 TOP MAIN SOLVE Loop x[1] = 2.489999999999991 y[1] (analytic) = 0 y[1] (numeric) = 2.050827281960325 absolute error = 2.050827281960325 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.7384 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.655 Order of pole (three term test) = 585.4 Radius of convergence (six term test) for eq 1 = 0.9047 Order of pole (six term test) = -1.48 TOP MAIN SOLVE Loop x[1] = 2.499999999999991 y[1] (analytic) = 0 y[1] (numeric) = 2.057498169533337 absolute error = 2.057498169533337 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.7272 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.6448 Order of pole (three term test) = 585.2 Radius of convergence (six term test) for eq 1 = 0.8941 Order of pole (six term test) = -1.481 TOP MAIN SOLVE Loop x[1] = 2.50999999999999 y[1] (analytic) = 0 y[1] (numeric) = 2.064091223898864 absolute error = 2.064091223898864 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.716 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.6347 Order of pole (three term test) = 585.1 Radius of convergence (six term test) for eq 1 = 0.8835 Order of pole (six term test) = -1.482 TOP MAIN SOLVE Loop x[1] = 2.51999999999999 y[1] (analytic) = 0 y[1] (numeric) = 2.070605523677008 absolute error = 2.070605523677008 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.7048 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.6245 Order of pole (three term test) = 584.9 Radius of convergence (six term test) for eq 1 = 0.8729 Order of pole (six term test) = -1.484 TOP MAIN SOLVE Loop x[1] = 2.52999999999999 y[1] (analytic) = 0 y[1] (numeric) = 2.077040150888616 absolute error = 2.077040150888616 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.6936 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.6144 Order of pole (three term test) = 584.7 Radius of convergence (six term test) for eq 1 = 0.8623 Order of pole (six term test) = -1.485 TOP MAIN SOLVE Loop x[1] = 2.53999999999999 y[1] (analytic) = 0 y[1] (numeric) = 2.08339419119096 absolute error = 2.08339419119096 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.6824 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.6042 Order of pole (three term test) = 584.5 Radius of convergence (six term test) for eq 1 = 0.8517 Order of pole (six term test) = -1.486 TOP MAIN SOLVE Loop x[1] = 2.54999999999999 y[1] (analytic) = 0 y[1] (numeric) = 2.089666734116142 absolute error = 2.089666734116142 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.6711 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.5941 Order of pole (three term test) = 584.4 Radius of convergence (six term test) for eq 1 = 0.8411 Order of pole (six term test) = -1.487 TOP MAIN SOLVE Loop x[1] = 2.559999999999989 y[1] (analytic) = 0 y[1] (numeric) = 2.095856873312159 absolute error = 2.095856873312159 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.6599 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.5839 Order of pole (three term test) = 584.2 Radius of convergence (six term test) for eq 1 = 0.8304 Order of pole (six term test) = -1.489 TOP MAIN SOLVE Loop x[1] = 2.569999999999989 y[1] (analytic) = 0 y[1] (numeric) = 2.101963706786555 absolute error = 2.101963706786555 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.6487 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.5738 Order of pole (three term test) = 584 Radius of convergence (six term test) for eq 1 = 0.8198 Order of pole (six term test) = -1.49 TOP MAIN SOLVE Loop x[1] = 2.579999999999989 y[1] (analytic) = 0 y[1] (numeric) = 2.107986337152575 absolute error = 2.107986337152575 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.6374 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.5637 Order of pole (three term test) = 583.9 Radius of convergence (six term test) for eq 1 = 0.8092 Order of pole (six term test) = -1.491 TOP MAIN SOLVE Loop x[1] = 2.589999999999989 y[1] (analytic) = 0 y[1] (numeric) = 2.113923871877728 absolute error = 2.113923871877728 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.6262 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.5536 Order of pole (three term test) = 583.7 Radius of convergence (six term test) for eq 1 = 0.7985 Order of pole (six term test) = -1.493 TOP MAIN SOLVE Loop x[1] = 2.599999999999989 y[1] (analytic) = 0 y[1] (numeric) = 2.119775423534658 absolute error = 2.119775423534658 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.6149 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.5434 Order of pole (three term test) = 583.5 Radius of convergence (six term test) for eq 1 = 0.7879 Order of pole (six term test) = -1.494 TOP MAIN SOLVE Loop x[1] = 2.609999999999988 y[1] (analytic) = 0 y[1] (numeric) = 2.125540110054204 absolute error = 2.125540110054204 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.6037 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.5333 Order of pole (three term test) = 583.4 Radius of convergence (six term test) for eq 1 = 0.7773 Order of pole (six term test) = -1.496 TOP MAIN SOLVE Loop x[1] = 2.619999999999988 y[1] (analytic) = 0 y[1] (numeric) = 2.13121705498052 absolute error = 2.13121705498052 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.5924 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.5232 Order of pole (three term test) = 583.2 Radius of convergence (six term test) for eq 1 = 0.7666 Order of pole (six term test) = -1.498 TOP MAIN SOLVE Loop x[1] = 2.629999999999988 y[1] (analytic) = 0 y[1] (numeric) = 2.1368053877281 absolute error = 2.1368053877281 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.5812 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.5131 Order of pole (three term test) = 583 Radius of convergence (six term test) for eq 1 = 0.756 Order of pole (six term test) = -1.499 TOP MAIN SOLVE Loop x[1] = 2.639999999999988 y[1] (analytic) = 0 y[1] (numeric) = 2.142304243840567 absolute error = 2.142304243840567 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.5699 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.503 Order of pole (three term test) = 582.9 Radius of convergence (six term test) for eq 1 = 0.7453 Order of pole (six term test) = -1.501 TOP MAIN SOLVE Loop x[1] = 2.649999999999987 y[1] (analytic) = 0 y[1] (numeric) = 2.147712765251014 absolute error = 2.147712765251014 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.5587 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4929 Order of pole (three term test) = 582.7 Radius of convergence (six term test) for eq 1 = 0.7347 Order of pole (six term test) = -1.503 TOP MAIN SOLVE Loop x[1] = 2.659999999999987 y[1] (analytic) = 0 y[1] (numeric) = 2.153030100543705 absolute error = 2.153030100543705 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.5474 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4828 Order of pole (three term test) = 582.5 Radius of convergence (six term test) for eq 1 = 0.724 Order of pole (six term test) = -1.505 TOP MAIN SOLVE Loop x[1] = 2.669999999999987 y[1] (analytic) = 0 y[1] (numeric) = 2.158255405216904 absolute error = 2.158255405216904 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.5361 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4727 Order of pole (three term test) = 582.4 Radius of convergence (six term test) for eq 1 = 0.7134 Order of pole (six term test) = -1.507 TOP MAIN SOLVE Loop x[1] = 2.679999999999987 y[1] (analytic) = 0 y[1] (numeric) = 2.163387841946557 absolute error = 2.163387841946557 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.5248 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4626 Order of pole (three term test) = 582.2 Radius of convergence (six term test) for eq 1 = 0.7027 Order of pole (six term test) = -1.51 TOP MAIN SOLVE Loop x[1] = 2.689999999999987 y[1] (analytic) = 0 y[1] (numeric) = 2.168426580850539 absolute error = 2.168426580850539 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.5135 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4525 Order of pole (three term test) = 582.1 Radius of convergence (six term test) for eq 1 = 0.692 Order of pole (six term test) = -1.512 TOP MAIN SOLVE Loop x[1] = 2.699999999999986 y[1] (analytic) = 0 y[1] (numeric) = 2.173370799753123 absolute error = 2.173370799753123 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.5023 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4424 Order of pole (three term test) = 581.9 Radius of convergence (six term test) for eq 1 = 0.6814 Order of pole (six term test) = -1.515 TOP MAIN SOLVE Loop x[1] = 2.709999999999986 y[1] (analytic) = 0 y[1] (numeric) = 2.178219684449288 absolute error = 2.178219684449288 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.491 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4323 Order of pole (three term test) = 581.7 Radius of convergence (six term test) for eq 1 = 0.6707 Order of pole (six term test) = -1.517 TOP MAIN SOLVE Loop x[1] = 2.719999999999986 y[1] (analytic) = 0 y[1] (numeric) = 2.182972428968427 absolute error = 2.182972428968427 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.4797 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4223 Order of pole (three term test) = 581.6 Radius of convergence (six term test) for eq 1 = 0.6601 Order of pole (six term test) = -1.52 TOP MAIN SOLVE Loop x[1] = 2.729999999999986 y[1] (analytic) = 0 y[1] (numeric) = 2.187628235836966 absolute error = 2.187628235836966 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.4684 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4122 Order of pole (three term test) = 581.4 Radius of convergence (six term test) for eq 1 = 0.6494 Order of pole (six term test) = -1.523 TOP MAIN SOLVE Loop x[1] = 2.739999999999986 y[1] (analytic) = 0 y[1] (numeric) = 2.192186316339304 absolute error = 2.192186316339304 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.4571 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4021 Order of pole (three term test) = 581.3 Radius of convergence (six term test) for eq 1 = 0.6388 Order of pole (six term test) = -1.526 TOP MAIN SOLVE Loop x[1] = 2.749999999999985 y[1] (analytic) = 0 y[1] (numeric) = 2.196645890776447 absolute error = 2.196645890776447 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.4458 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.392 Order of pole (three term test) = 581.1 Radius of convergence (six term test) for eq 1 = 0.6281 Order of pole (six term test) = -1.529 TOP MAIN SOLVE Loop x[1] = 2.759999999999985 y[1] (analytic) = 0 y[1] (numeric) = 2.20100618872156 absolute error = 2.20100618872156 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.4345 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.382 Order of pole (three term test) = 581 Radius of convergence (six term test) for eq 1 = 0.6175 Order of pole (six term test) = -1.533 TOP MAIN SOLVE Loop x[1] = 2.769999999999985 y[1] (analytic) = 0 y[1] (numeric) = 2.205266449271589 absolute error = 2.205266449271589 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.4231 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.3719 Order of pole (three term test) = 580.8 Radius of convergence (six term test) for eq 1 = 0.6068 Order of pole (six term test) = -1.537 TOP MAIN SOLVE Loop x[1] = 2.779999999999985 y[1] (analytic) = 0 y[1] (numeric) = 2.209425921293934 absolute error = 2.209425921293934 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.4118 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.3618 Order of pole (three term test) = 580.7 Radius of convergence (six term test) for eq 1 = 0.5962 Order of pole (six term test) = -1.541 TOP MAIN SOLVE Loop x[1] = 2.789999999999984 y[1] (analytic) = 0 y[1] (numeric) = 2.213483863667027 absolute error = 2.213483863667027 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.4005 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.3518 Order of pole (three term test) = 580.5 Radius of convergence (six term test) for eq 1 = 0.5856 Order of pole (six term test) = -1.545 TOP MAIN SOLVE Loop x[1] = 2.799999999999984 y[1] (analytic) = 0 y[1] (numeric) = 2.217439545513441 absolute error = 2.217439545513441 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.3892 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.3417 Order of pole (three term test) = 580.3 Radius of convergence (six term test) for eq 1 = 0.575 Order of pole (six term test) = -1.55 TOP MAIN SOLVE Loop x[1] = 2.809999999999984 y[1] (analytic) = 0 y[1] (numeric) = 2.221292246423964 absolute error = 2.221292246423964 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.3778 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.3317 Order of pole (three term test) = 580.2 Radius of convergence (six term test) for eq 1 = 0.5644 Order of pole (six term test) = -1.554 TOP MAIN SOLVE Loop x[1] = 2.819999999999984 y[1] (analytic) = 0 y[1] (numeric) = 2.225041256670762 absolute error = 2.225041256670762 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.3665 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.3216 Order of pole (three term test) = 580 Radius of convergence (six term test) for eq 1 = 0.5538 Order of pole (six term test) = -1.56 TOP MAIN SOLVE Loop x[1] = 2.829999999999984 y[1] (analytic) = 0 y[1] (numeric) = 2.22868587740746 absolute error = 2.22868587740746 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.3552 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.3116 Order of pole (three term test) = 579.9 Radius of convergence (six term test) for eq 1 = 0.5432 Order of pole (six term test) = -1.565 TOP MAIN SOLVE Loop x[1] = 2.839999999999983 y[1] (analytic) = 0 y[1] (numeric) = 2.23222542085353 absolute error = 2.23222542085353 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.3438 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.3015 Order of pole (three term test) = 579.7 Radius of convergence (six term test) for eq 1 = 0.5327 Order of pole (six term test) = -1.571 TOP MAIN SOLVE Loop x[1] = 2.849999999999983 y[1] (analytic) = 0 y[1] (numeric) = 2.23565921045993 absolute error = 2.23565921045993 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.3325 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2915 Order of pole (three term test) = 579.6 Radius of convergence (six term test) for eq 1 = 0.5222 Order of pole (six term test) = -1.578 TOP MAIN SOLVE Loop x[1] = 2.859999999999983 y[1] (analytic) = 0 y[1] (numeric) = 2.238986581052295 absolute error = 2.238986581052295 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.3211 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2815 Order of pole (three term test) = 579.4 Radius of convergence (six term test) for eq 1 = 0.5117 Order of pole (six term test) = -1.585 TOP MAIN SOLVE Loop x[1] = 2.869999999999983 y[1] (analytic) = 0 y[1] (numeric) = 2.242206878947294 absolute error = 2.242206878947294 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.3098 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2714 Order of pole (three term test) = 579.3 Radius of convergence (six term test) for eq 1 = 0.5012 Order of pole (six term test) = -1.593 TOP MAIN SOLVE Loop x[1] = 2.879999999999983 y[1] (analytic) = 0 y[1] (numeric) = 2.245319462036806 absolute error = 2.245319462036806 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.2984 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2614 Order of pole (three term test) = 579.1 Radius of convergence (six term test) for eq 1 = 0.4908 Order of pole (six term test) = -1.602 TOP MAIN SOLVE Loop x[1] = 2.889999999999982 y[1] (analytic) = 0 y[1] (numeric) = 2.24832369983347 absolute error = 2.24832369983347 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.2871 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2514 Order of pole (three term test) = 579 Radius of convergence (six term test) for eq 1 = 0.4804 Order of pole (six term test) = -1.611 TOP MAIN SOLVE Loop x[1] = 2.899999999999982 y[1] (analytic) = 0 y[1] (numeric) = 2.251218973469716 absolute error = 2.251218973469716 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.2757 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2414 Order of pole (three term test) = 578.8 Radius of convergence (six term test) for eq 1 = 0.4701 Order of pole (six term test) = -1.622 TOP MAIN SOLVE Loop x[1] = 2.909999999999982 y[1] (analytic) = 0 y[1] (numeric) = 2.254004675640575 absolute error = 2.254004675640575 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.2643 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2313 Order of pole (three term test) = 578.7 Radius of convergence (six term test) for eq 1 = 0.4599 Order of pole (six term test) = -1.633 TOP MAIN SOLVE Loop x[1] = 2.919999999999982 y[1] (analytic) = 0 y[1] (numeric) = 2.25668021047827 absolute error = 2.25668021047827 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.253 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2213 Order of pole (three term test) = 578.5 Radius of convergence (six term test) for eq 1 = 0.4498 Order of pole (six term test) = -1.646 TOP MAIN SOLVE Loop x[1] = 2.929999999999982 y[1] (analytic) = 0 y[1] (numeric) = 2.259244993343588 absolute error = 2.259244993343588 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.2416 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2113 Order of pole (three term test) = 578.4 Radius of convergence (six term test) for eq 1 = 0.4397 Order of pole (six term test) = -1.661 TOP MAIN SOLVE Loop x[1] = 2.939999999999981 y[1] (analytic) = 0 y[1] (numeric) = 2.261698450515196 absolute error = 2.261698450515196 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.2302 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2013 Order of pole (three term test) = 578.2 Radius of convergence (six term test) for eq 1 = 0.4299 Order of pole (six term test) = -1.677 TOP MAIN SOLVE Loop x[1] = 2.949999999999981 y[1] (analytic) = 0 y[1] (numeric) = 2.264040018752961 absolute error = 2.264040018752961 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.2188 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.1913 Order of pole (three term test) = 578.1 Radius of convergence (six term test) for eq 1 = 0.4201 Order of pole (six term test) = -1.696 TOP MAIN SOLVE Loop x[1] = 2.959999999999981 y[1] (analytic) = 0 y[1] (numeric) = 2.266269144704548 absolute error = 2.266269144704548 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.2074 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.1813 Order of pole (three term test) = 577.9 Radius of convergence (six term test) for eq 1 = 0.4106 Order of pole (six term test) = -1.718 TOP MAIN SOLVE Loop x[1] = 2.969999999999981 y[1] (analytic) = 0 y[1] (numeric) = 2.268385284115524 absolute error = 2.268385284115524 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.196 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.1713 Order of pole (three term test) = 577.8 Radius of convergence (six term test) for eq 1 = 0.4014 Order of pole (six term test) = -1.743 TOP MAIN SOLVE Loop x[1] = 2.97999999999998 y[1] (analytic) = 0 y[1] (numeric) = 2.270387900790675 absolute error = 2.270387900790675 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.1846 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.1613 Order of pole (three term test) = 577.6 Radius of convergence (six term test) for eq 1 = 0.3925 Order of pole (six term test) = -1.773 TOP MAIN SOLVE Loop x[1] = 2.98999999999998 y[1] (analytic) = 0 y[1] (numeric) = 2.272276465237079 absolute error = 2.272276465237079 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.1733 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.1513 Order of pole (three term test) = 577.5 Radius of convergence (six term test) for eq 1 = 0.384 Order of pole (six term test) = -1.808 TOP MAIN SOLVE Loop x[1] = 2.99999999999998 y[1] (analytic) = 0 y[1] (numeric) = 2.27405045289509 absolute error = 2.27405045289509 relative error = -1 % Correct digits = -1 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.1618 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.1413 Order of pole (three term test) = 577.3 Radius of convergence (six term test) for eq 1 = 0.3763 Order of pole (six term test) = -1.852 Finished! diff ( y , x , 1 ) = expt (sin(x) , (0.2 * x + 0.3)); Iterations = 291 Total Elapsed Time = 1 Seconds Elapsed Time(since restart) = 1 Seconds Time to Timeout = 2 Minutes 59 Seconds Percent Done = 100.7 %