##############ECHO OF PROBLEM################# ##############temp/expt_c_linpostode.ode################# diff ( y , x , 1 ) = expt(2.0 , (0.2 * x + 0.3)); ! // BEGIN FIRST INPUT BLOCK Digits=32; max_terms=30; ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK x_start=1.0; // # did poorly with x_start := -5.0; x_end=5.0; array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_max_iter=1000000; glob_display_interval=0.1; glob_max_minutes=10; // 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(7.2134752044448170367996234050095*expt(2.0,(0.2*x+0.3))); } // 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 = 4 estimated_steps = 4000000 step_error = 2.5e-17 est_needed_step_err = 2.5e-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 = 1.233906891650466e-204 estimated_step_error = 1.233906891650466e-204 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 = 8.280608999301463e-197 estimated_step_error = 8.280608999301463e-197 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 = 5.557022660245088e-189 estimated_step_error = 5.557022660245088e-189 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 = 3.729254817808206e-181 estimated_step_error = 3.729254817808206e-181 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 = 2.502660595295236e-173 estimated_step_error = 2.502660595295236e-173 best_h = 3.2e-05 opt_iter = 6 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.679507164264682e-165 estimated_step_error = 1.679507164264682e-165 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 = 1.127098271328647e-157 estimated_step_error = 1.127098271328647e-157 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 = 7.563829703272086e-150 estimated_step_error = 7.563829703272086e-150 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 = 5.076001856750942e-142 estimated_step_error = 5.076001856750942e-142 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 = 3.406449421425512e-134 estimated_step_error = 3.406449421425512e-134 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 = 2.286032514246315e-126 estimated_step_error = 2.286032514246315e-126 best_h = 0.002048 opt_iter = 12 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.53413448396168e-118 estimated_step_error = 1.53413448396168e-118 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 = 1.029545637434693e-110 estimated_step_error = 1.029545637434693e-110 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 = 6.909236469812329e-103 estimated_step_error = 6.909236469812329e-103 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 = 4.636807622636872e-95 estimated_step_error = 4.636807622636872e-95 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 = 3.111839814041089e-87 estimated_step_error = 3.111839814041089e-87 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 = 2.0884960511826e-79 estimated_step_error = 2.0884960511826e-79 best_h = 0.131072 opt_iter = 18 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.401801855884819e-71 estimated_step_error = 1.401801855884819e-71 best_h = 0.1 START of Soultion TOP MAIN SOLVE Loop x[1] = 1 y[1] (analytic) = 10.2013944659679 y[1] (numeric) = 10.2013944659679 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.01 y[1] (analytic) = 10.21554640870439 y[1] (numeric) = 10.21554640870439 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.02 y[1] (analytic) = 10.22971798380426 y[1] (numeric) = 10.22971798380426 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.03 y[1] (analytic) = 10.24390921850264 y[1] (numeric) = 10.24390921850264 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 9.622e+08 Order of pole (six term test) = -2.531e+14 TOP MAIN SOLVE Loop x[1] = 1.04 y[1] (analytic) = 10.2581201400724 y[1] (numeric) = 10.2581201400724 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.05 y[1] (analytic) = 10.27235077582427 y[1] (numeric) = 10.27235077582427 absolute error = 1.77635683940025e-15 relative error = 1.729260300943834e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.06 y[1] (analytic) = 10.28660115310686 y[1] (numeric) = 10.28660115310686 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.07 y[1] (analytic) = 10.30087129930673 y[1] (numeric) = 10.30087129930673 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 6.099e+08 Order of pole (six term test) = 1.749e+14 TOP MAIN SOLVE Loop x[1] = 1.08 y[1] (analytic) = 10.31516124184842 y[1] (numeric) = 10.31516124184842 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.09 y[1] (analytic) = 10.32947100819451 y[1] (numeric) = 10.32947100819451 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.1 y[1] (analytic) = 10.34380062584569 y[1] (numeric) = 10.34380062584569 absolute error = 1.77635683940025e-15 relative error = 1.717315427524512e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.11 y[1] (analytic) = 10.3581501223408 y[1] (numeric) = 10.3581501223408 absolute error = 1.77635683940025e-15 relative error = 1.714936372247536e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.12 y[1] (analytic) = 10.37251952525688 y[1] (numeric) = 10.37251952525688 absolute error = 1.77635683940025e-15 relative error = 1.712560612756483e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.13 y[1] (analytic) = 10.38690886220922 y[1] (numeric) = 10.38690886220922 absolute error = 1.77635683940025e-15 relative error = 1.710188144485589e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 1.991e+09 Order of pole (six term test) = -2.044e+15 TOP MAIN SOLVE Loop x[1] = 1.14 y[1] (analytic) = 10.40131816085143 y[1] (numeric) = 10.40131816085143 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.15 y[1] (analytic) = 10.41574744887548 y[1] (numeric) = 10.41574744887548 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.16 y[1] (analytic) = 10.43019675401175 y[1] (numeric) = 10.43019675401175 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.17 y[1] (analytic) = 10.44466610402909 y[1] (numeric) = 10.44466610402909 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.18 y[1] (analytic) = 10.45915552673489 y[1] (numeric) = 10.45915552673489 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.19 y[1] (analytic) = 10.47366504997509 y[1] (numeric) = 10.47366504997509 absolute error = 1.77635683940025e-15 relative error = 1.696022195596636e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.2 y[1] (analytic) = 10.48819470163427 y[1] (numeric) = 10.48819470163427 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.21 y[1] (analytic) = 10.5027445096357 y[1] (numeric) = 10.5027445096357 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 5.862e+08 Order of pole (six term test) = 1.062e+14 TOP MAIN SOLVE Loop x[1] = 1.22 y[1] (analytic) = 10.51731450194138 y[1] (numeric) = 10.51731450194138 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.23 y[1] (analytic) = 10.5319047065521 y[1] (numeric) = 10.5319047065521 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.24 y[1] (analytic) = 10.5465151515075 y[1] (numeric) = 10.5465151515075 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.25 y[1] (analytic) = 10.5611458648861 y[1] (numeric) = 10.5611458648861 absolute error = 1.77635683940025e-15 relative error = 1.681973587076678e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.26 y[1] (analytic) = 10.5757968748054 y[1] (numeric) = 10.5757968748054 absolute error = 1.77635683940025e-15 relative error = 1.679643492049327e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.27 y[1] (analytic) = 10.59046820942189 y[1] (numeric) = 10.59046820942189 absolute error = 1.77635683940025e-15 relative error = 1.677316624981605e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.28 y[1] (analytic) = 10.60515989693112 y[1] (numeric) = 10.60515989693112 absolute error = 1.77635683940025e-15 relative error = 1.67499298140171e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.29 y[1] (analytic) = 10.61987196556775 y[1] (numeric) = 10.61987196556775 absolute error = 3.552713678800501e-15 relative error = 3.34534511368807e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.3 y[1] (analytic) = 10.63460444360563 y[1] (numeric) = 10.63460444360562 absolute error = 1.77635683940025e-15 relative error = 1.670355346849161e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.31 y[1] (analytic) = 10.6493573593578 y[1] (numeric) = 10.6493573593578 absolute error = 1.77635683940025e-15 relative error = 1.668041346963843e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.32 y[1] (analytic) = 10.66413074117661 y[1] (numeric) = 10.66413074117661 absolute error = 1.77635683940025e-15 relative error = 1.665730552741009e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.33 y[1] (analytic) = 10.67892461745373 y[1] (numeric) = 10.67892461745373 absolute error = 3.552713678800501e-15 relative error = 3.326845919479489e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.34 y[1] (analytic) = 10.6937390166202 y[1] (numeric) = 10.6937390166202 absolute error = 1.77635683940025e-15 relative error = 1.661118563525291e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.35 y[1] (analytic) = 10.70857396714653 y[1] (numeric) = 10.70857396714653 absolute error = 3.552713678800501e-15 relative error = 3.317634719338057e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.36 y[1] (analytic) = 10.7234294975427 y[1] (numeric) = 10.7234294975427 absolute error = 3.552713678800501e-15 relative error = 3.313038687496955e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.37 y[1] (analytic) = 10.73830563635826 y[1] (numeric) = 10.73830563635826 absolute error = 3.552713678800501e-15 relative error = 3.308449022694563e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.38 y[1] (analytic) = 10.75320241218236 y[1] (numeric) = 10.75320241218235 absolute error = 5.329070518200751e-15 relative error = 4.955798574165609e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.39 y[1] (analytic) = 10.76811985364379 y[1] (numeric) = 10.76811985364379 absolute error = 3.552713678800501e-15 relative error = 3.29928875893623e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.4 y[1] (analytic) = 10.78305798941109 y[1] (numeric) = 10.78305798941109 absolute error = 3.552713678800501e-15 relative error = 3.294718142375982e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.41 y[1] (analytic) = 10.79801684819256 y[1] (numeric) = 10.79801684819255 absolute error = 3.552713678800501e-15 relative error = 3.290153857645793e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 6.516e+08 Order of pole (six term test) = -1.955e+14 TOP MAIN SOLVE Loop x[1] = 1.42 y[1] (analytic) = 10.8129964587363 y[1] (numeric) = 10.8129964587363 absolute error = 3.552713678800501e-15 relative error = 3.285595895973966e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.43 y[1] (analytic) = 10.82799684983032 y[1] (numeric) = 10.82799684983032 absolute error = 3.552713678800501e-15 relative error = 3.281044248600953e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.44 y[1] (analytic) = 10.84301805030256 y[1] (numeric) = 10.84301805030256 absolute error = 3.552713678800501e-15 relative error = 3.276498906779342e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.45 y[1] (analytic) = 10.85806008902095 y[1] (numeric) = 10.85806008902094 absolute error = 3.552713678800501e-15 relative error = 3.271959861773839e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.46 y[1] (analytic) = 10.87312299489345 y[1] (numeric) = 10.87312299489345 absolute error = 3.552713678800501e-15 relative error = 3.267427104861251e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.47 y[1] (analytic) = 10.88820679686816 y[1] (numeric) = 10.88820679686816 absolute error = 1.77635683940025e-15 relative error = 1.631450313665235e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.48 y[1] (analytic) = 10.90331152393331 y[1] (numeric) = 10.90331152393331 absolute error = 1.77635683940025e-15 relative error = 1.629190210241227e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.49 y[1] (analytic) = 10.91843720511734 y[1] (numeric) = 10.91843720511734 absolute error = 1.77635683940025e-15 relative error = 1.626933237815108e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.5 y[1] (analytic) = 10.93358386948899 y[1] (numeric) = 10.93358386948899 absolute error = 1.77635683940025e-15 relative error = 1.6246793920494e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.51 y[1] (analytic) = 10.9487515461573 y[1] (numeric) = 10.94875154615729 absolute error = 1.77635683940025e-15 relative error = 1.622428668612634e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.52 y[1] (analytic) = 10.96394026427168 y[1] (numeric) = 10.96394026427168 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.53 y[1] (analytic) = 10.97915005302203 y[1] (numeric) = 10.97915005302202 absolute error = 1.77635683940025e-15 relative error = 1.61793657143005e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.54 y[1] (analytic) = 10.99438094163868 y[1] (numeric) = 10.99438094163868 absolute error = 1.77635683940025e-15 relative error = 1.615695189051263e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.55 y[1] (analytic) = 11.00963295939256 y[1] (numeric) = 11.00963295939255 absolute error = 3.552713678800501e-15 relative error = 3.226913823470931e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.56 y[1] (analytic) = 11.02490613559517 y[1] (numeric) = 11.02490613559517 absolute error = 3.552713678800501e-15 relative error = 3.222443470362218e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 5.375e+08 Order of pole (six term test) = -3.266e+14 TOP MAIN SOLVE Loop x[1] = 1.570000000000001 y[1] (analytic) = 11.0402004995987 y[1] (numeric) = 11.0402004995987 absolute error = 1.77635683940025e-15 relative error = 1.608989655092604e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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) = 11.05551608079605 y[1] (numeric) = 11.05551608079605 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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) = 11.07085290862088 y[1] (numeric) = 11.07085290862088 absolute error = 1.77635683940025e-15 relative error = 1.604534767160532e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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) = 11.08621101254771 y[1] (numeric) = 11.08621101254771 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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) = 11.10159042209193 y[1] (numeric) = 11.10159042209193 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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) = 11.11699116680987 y[1] (numeric) = 11.11699116680987 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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) = 11.13241327629888 y[1] (numeric) = 11.13241327629888 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.640000000000001 y[1] (analytic) = 11.14785678019737 y[1] (numeric) = 11.14785678019737 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.650000000000001 y[1] (analytic) = 11.16332170818484 y[1] (numeric) = 11.16332170818483 absolute error = 1.77635683940025e-15 relative error = 1.591243973644371e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.660000000000001 y[1] (analytic) = 11.17880808998198 y[1] (numeric) = 11.17880808998198 absolute error = 1.77635683940025e-15 relative error = 1.589039569426148e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.670000000000001 y[1] (analytic) = 11.19431595535072 y[1] (numeric) = 11.19431595535072 absolute error = 1.77635683940025e-15 relative error = 1.586838219043816e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.680000000000001 y[1] (analytic) = 11.20984533409426 y[1] (numeric) = 11.20984533409426 absolute error = 1.77635683940025e-15 relative error = 1.584639918266791e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.690000000000001 y[1] (analytic) = 11.22539625605716 y[1] (numeric) = 11.22539625605716 absolute error = 1.77635683940025e-15 relative error = 1.582444662870354e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 1.013e+09 Order of pole (six term test) = -3.732e+14 TOP MAIN SOLVE Loop x[1] = 1.700000000000001 y[1] (analytic) = 11.24096875112537 y[1] (numeric) = 11.24096875112537 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.710000000000001 y[1] (analytic) = 11.2565628492263 y[1] (numeric) = 11.2565628492263 absolute error = 1.77635683940025e-15 relative error = 1.578063271349606e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.720000000000001 y[1] (analytic) = 11.27217858032889 y[1] (numeric) = 11.27217858032889 absolute error = 1.77635683940025e-15 relative error = 1.575877126805085e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 1.557e+09 Order of pole (six term test) = -7.768e+14 TOP MAIN SOLVE Loop x[1] = 1.730000000000001 y[1] (analytic) = 11.28781597444363 y[1] (numeric) = 11.28781597444363 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.740000000000001 y[1] (analytic) = 11.30347506162267 y[1] (numeric) = 11.30347506162267 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.750000000000001 y[1] (analytic) = 11.31915587195983 y[1] (numeric) = 11.31915587195983 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.760000000000001 y[1] (analytic) = 11.3348584355907 y[1] (numeric) = 11.3348584355907 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 3.23e+08 Order of pole (six term test) = -5.331e+14 TOP MAIN SOLVE Loop x[1] = 1.770000000000001 y[1] (analytic) = 11.35058278269264 y[1] (numeric) = 11.35058278269264 absolute error = 1.77635683940025e-15 relative error = 1.564991748361008e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.780000000000001 y[1] (analytic) = 11.3663289434849 y[1] (numeric) = 11.3663289434849 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.790000000000001 y[1] (analytic) = 11.38209694822866 y[1] (numeric) = 11.38209694822866 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 7.841e+08 Order of pole (six term test) = -2.803e+14 TOP MAIN SOLVE Loop x[1] = 1.800000000000001 y[1] (analytic) = 11.39788682722705 y[1] (numeric) = 11.39788682722705 absolute error = 1.77635683940025e-15 relative error = 1.558496646200174e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.810000000000001 y[1] (analytic) = 11.41369861082527 y[1] (numeric) = 11.41369861082527 absolute error = 1.77635683940025e-15 relative error = 1.55633760796476e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.820000000000001 y[1] (analytic) = 11.42953232941059 y[1] (numeric) = 11.42953232941059 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.830000000000001 y[1] (analytic) = 11.44538801341245 y[1] (numeric) = 11.44538801341245 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 2.042e+08 Order of pole (six term test) = -2.127e+14 TOP MAIN SOLVE Loop x[1] = 1.840000000000001 y[1] (analytic) = 11.46126569330249 y[1] (numeric) = 11.46126569330249 absolute error = 1.77635683940025e-15 relative error = 1.549878422623326e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.850000000000001 y[1] (analytic) = 11.47716539959465 y[1] (numeric) = 11.47716539959465 absolute error = 1.77635683940025e-15 relative error = 1.547731323505182e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.860000000000001 y[1] (analytic) = 11.49308716284517 y[1] (numeric) = 11.49308716284517 absolute error = 1.77635683940025e-15 relative error = 1.545587198836231e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.870000000000001 y[1] (analytic) = 11.50903101365269 y[1] (numeric) = 11.50903101365269 absolute error = 1.77635683940025e-15 relative error = 1.543446044495867e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 7.648e+08 Order of pole (six term test) = -8.487e+13 TOP MAIN SOLVE Loop x[1] = 1.880000000000001 y[1] (analytic) = 11.5249969826583 y[1] (numeric) = 11.52499698265831 absolute error = 1.77635683940025e-15 relative error = 1.541307856369194e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.890000000000001 y[1] (analytic) = 11.54098510054561 y[1] (numeric) = 11.54098510054561 absolute error = 1.77635683940025e-15 relative error = 1.539172630347016e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.900000000000001 y[1] (analytic) = 11.55699539804077 y[1] (numeric) = 11.55699539804077 absolute error = 1.77635683940025e-15 relative error = 1.537040362325827e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.910000000000001 y[1] (analytic) = 11.57302790591257 y[1] (numeric) = 11.57302790591257 absolute error = 1.77635683940025e-15 relative error = 1.534911048207811e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.920000000000001 y[1] (analytic) = 11.58908265497248 y[1] (numeric) = 11.58908265497248 absolute error = 1.77635683940025e-15 relative error = 1.532784683900823e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.930000000000001 y[1] (analytic) = 11.60515967607472 y[1] (numeric) = 11.60515967607472 absolute error = 1.77635683940025e-15 relative error = 1.530661265318392e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.940000000000001 y[1] (analytic) = 11.6212590001163 y[1] (numeric) = 11.6212590001163 absolute error = 1.77635683940025e-15 relative error = 1.528540788379704e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.950000000000001 y[1] (analytic) = 11.63738065803711 y[1] (numeric) = 11.63738065803711 absolute error = 1.77635683940025e-15 relative error = 1.526423249009602e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.960000000000001 y[1] (analytic) = 11.65352468081995 y[1] (numeric) = 11.65352468081995 absolute error = 3.552713678800501e-15 relative error = 3.048617286277143e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.970000000000001 y[1] (analytic) = 11.66969109949059 y[1] (numeric) = 11.66969109949059 absolute error = 1.77635683940025e-15 relative error = 1.522196966702737e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 1.980000000000001 y[1] (analytic) = 11.68587994511787 y[1] (numeric) = 11.68587994511787 absolute error = 1.77635683940025e-15 relative error = 1.520088215643853e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 9.4e+08 Order of pole (six term test) = -3.087e+14 TOP MAIN SOLVE Loop x[1] = 1.990000000000001 y[1] (analytic) = 11.7020912488137 y[1] (numeric) = 11.70209124881371 absolute error = 1.77635683940025e-15 relative error = 1.517982385909295e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.000000000000001 y[1] (analytic) = 11.71832504173318 y[1] (numeric) = 11.71832504173318 absolute error = 1.77635683940025e-15 relative error = 1.515879473452054e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.010000000000001 y[1] (analytic) = 11.7345813550746 y[1] (numeric) = 11.7345813550746 absolute error = 1.77635683940025e-15 relative error = 1.513779474230726e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.02 y[1] (analytic) = 11.75086022007955 y[1] (numeric) = 11.75086022007955 absolute error = 1.77635683940025e-15 relative error = 1.511682384209508e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.03 y[1] (analytic) = 11.76716166803294 y[1] (numeric) = 11.76716166803295 absolute error = 3.552713678800501e-15 relative error = 3.01917639871637e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.04 y[1] (analytic) = 11.78348573026312 y[1] (numeric) = 11.78348573026312 absolute error = 3.552713678800501e-15 relative error = 3.014993831304254e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 2.529e+08 Order of pole (six term test) = 7.575e+14 TOP MAIN SOLVE Loop x[1] = 2.05 y[1] (analytic) = 11.79983243814185 y[1] (numeric) = 11.79983243814186 absolute error = 3.552713678800501e-15 relative error = 3.01081705814456e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.06 y[1] (analytic) = 11.81620182308446 y[1] (numeric) = 11.81620182308446 absolute error = 3.552713678800501e-15 relative error = 3.006646071210312e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.069999999999999 y[1] (analytic) = 11.83259391654981 y[1] (numeric) = 11.83259391654982 absolute error = 5.329070518200751e-15 relative error = 4.503721293728484e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.079999999999999 y[1] (analytic) = 11.84900875004045 y[1] (numeric) = 11.84900875004045 absolute error = 5.329070518200751e-15 relative error = 4.497482135948765e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.089999999999999 y[1] (analytic) = 11.86544635510259 y[1] (numeric) = 11.8654463551026 absolute error = 5.329070518200751e-15 relative error = 4.491251621485819e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.099999999999999 y[1] (analytic) = 11.88190676332624 y[1] (numeric) = 11.88190676332625 absolute error = 5.329070518200751e-15 relative error = 4.485029738365765e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.109999999999999 y[1] (analytic) = 11.89839000634521 y[1] (numeric) = 11.89839000634522 absolute error = 7.105427357601002e-15 relative error = 5.971755299508419e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.119999999999998 y[1] (analytic) = 11.9148961158372 y[1] (numeric) = 11.91489611583721 absolute error = 7.105427357601002e-15 relative error = 5.96348242445565e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.129999999999998 y[1] (analytic) = 11.93142512352385 y[1] (numeric) = 11.93142512352386 absolute error = 7.105427357601002e-15 relative error = 5.955221010097133e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.139999999999998 y[1] (analytic) = 11.94797706117082 y[1] (numeric) = 11.94797706117083 absolute error = 8.881784197001252e-15 relative error = 7.433713800694976e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.149999999999998 y[1] (analytic) = 11.96455196058782 y[1] (numeric) = 11.96455196058783 absolute error = 8.881784197001252e-15 relative error = 7.423415624971624e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 1.701e+09 Order of pole (six term test) = -1.225e+15 TOP MAIN SOLVE Loop x[1] = 2.159999999999997 y[1] (analytic) = 11.98114985362871 y[1] (numeric) = 11.98114985362872 absolute error = 1.06581410364015e-14 relative error = 8.895758058792241e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 6.698e+09 Order of pole (six term test) = -1.487e+16 TOP MAIN SOLVE Loop x[1] = 2.169999999999997 y[1] (analytic) = 11.99777077219151 y[1] (numeric) = 11.99777077219152 absolute error = 8.881784197001252e-15 relative error = 7.402862052996958e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.179999999999997 y[1] (analytic) = 12.01441474821851 y[1] (numeric) = 12.01441474821852 absolute error = 1.06581410364015e-14 relative error = 8.871127940694643e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.189999999999997 y[1] (analytic) = 12.03108181369632 y[1] (numeric) = 12.03108181369633 absolute error = 1.06581410364015e-14 relative error = 8.858838466436288e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 2.529e+08 Order of pole (six term test) = 7.575e+14 TOP MAIN SOLVE Loop x[1] = 2.199999999999997 y[1] (analytic) = 12.0477720006559 y[1] (numeric) = 12.04777200065591 absolute error = 1.06581410364015e-14 relative error = 8.846566017203226e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.209999999999996 y[1] (analytic) = 12.06448534117267 y[1] (numeric) = 12.06448534117268 absolute error = 1.06581410364015e-14 relative error = 8.834310569410109e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.219999999999996 y[1] (analytic) = 12.08122186736652 y[1] (numeric) = 12.08122186736653 absolute error = 1.243449787580175e-14 relative error = 1.029241744942165e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 3.23e+08 Order of pole (six term test) = -5.331e+14 TOP MAIN SOLVE Loop x[1] = 2.229999999999996 y[1] (analytic) = 12.09798161140192 y[1] (numeric) = 12.09798161140194 absolute error = 1.243449787580175e-14 relative error = 1.02781590146266e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.239999999999996 y[1] (analytic) = 12.11476460548796 y[1] (numeric) = 12.11476460548797 absolute error = 1.243449787580175e-14 relative error = 1.026392033252462e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.249999999999996 y[1] (analytic) = 12.1315708818784 y[1] (numeric) = 12.13157088187841 absolute error = 1.243449787580175e-14 relative error = 1.024970137575164e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 1.557e+09 Order of pole (six term test) = -7.768e+14 TOP MAIN SOLVE Loop x[1] = 2.259999999999995 y[1] (analytic) = 12.14840047287174 y[1] (numeric) = 12.14840047287176 absolute error = 1.4210854715202e-14 relative error = 1.169771670512169e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.269999999999995 y[1] (analytic) = 12.16525341081131 y[1] (numeric) = 12.16525341081133 absolute error = 1.4210854715202e-14 relative error = 1.168151146162953e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.279999999999995 y[1] (analytic) = 12.18212972808529 y[1] (numeric) = 12.18212972808531 absolute error = 1.4210854715202e-14 relative error = 1.166532866781051e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.289999999999995 y[1] (analytic) = 12.1990294571268 y[1] (numeric) = 12.19902945712681 absolute error = 1.4210854715202e-14 relative error = 1.164916829256436e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 6.862e+08 Order of pole (six term test) = -2.448e+14 TOP MAIN SOLVE Loop x[1] = 2.299999999999994 y[1] (analytic) = 12.21595263041393 y[1] (numeric) = 12.21595263041395 absolute error = 1.598721155460225e-14 relative error = 1.308715909293808e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.309999999999994 y[1] (analytic) = 12.23289928046987 y[1] (numeric) = 12.23289928046988 absolute error = 1.598721155460225e-14 relative error = 1.30690290078054e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.319999999999994 y[1] (analytic) = 12.24986943986288 y[1] (numeric) = 12.24986943986289 absolute error = 1.4210854715202e-14 relative error = 1.1600821367906e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.329999999999994 y[1] (analytic) = 12.26686314120643 y[1] (numeric) = 12.26686314120644 absolute error = 1.4210854715202e-14 relative error = 1.158475035680914e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.339999999999994 y[1] (analytic) = 12.28388041715923 y[1] (numeric) = 12.28388041715924 absolute error = 1.4210854715202e-14 relative error = 1.156870160942873e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.349999999999993 y[1] (analytic) = 12.30092130042528 y[1] (numeric) = 12.3009213004253 absolute error = 1.4210854715202e-14 relative error = 1.155267509492211e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 4.938e+08 Order of pole (six term test) = -2.085e+14 TOP MAIN SOLVE Loop x[1] = 2.359999999999993 y[1] (analytic) = 12.31798582375397 y[1] (numeric) = 12.31798582375399 absolute error = 1.598721155460225e-14 relative error = 1.297875463030048e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.369999999999993 y[1] (analytic) = 12.33507401994011 y[1] (numeric) = 12.33507401994013 absolute error = 1.4210854715202e-14 relative error = 1.152068864137306e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 6.543e+08 Order of pole (six term test) = -5.171e+14 TOP MAIN SOLVE Loop x[1] = 2.379999999999993 y[1] (analytic) = 12.35218592182401 y[1] (numeric) = 12.35218592182402 absolute error = 1.598721155460225e-14 relative error = 1.294281972096601e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.389999999999993 y[1] (analytic) = 12.36932156229152 y[1] (numeric) = 12.36932156229154 absolute error = 1.598721155460225e-14 relative error = 1.292488959405829e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.399999999999992 y[1] (analytic) = 12.38648097427415 y[1] (numeric) = 12.38648097427416 absolute error = 1.598721155460225e-14 relative error = 1.290698430636318e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.409999999999992 y[1] (analytic) = 12.40366419074905 y[1] (numeric) = 12.40366419074906 absolute error = 1.4210854715202e-14 relative error = 1.145698117641786e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 4.126e+08 Order of pole (six term test) = -1.901e+14 TOP MAIN SOLVE Loop x[1] = 2.419999999999992 y[1] (analytic) = 12.42087124473914 y[1] (numeric) = 12.42087124473915 absolute error = 1.598721155460225e-14 relative error = 1.287124811101608e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.429999999999992 y[1] (analytic) = 12.43810216931315 y[1] (numeric) = 12.43810216931317 absolute error = 1.598721155460225e-14 relative error = 1.285341713468582e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.439999999999992 y[1] (analytic) = 12.45535699758569 y[1] (numeric) = 12.45535699758571 absolute error = 1.598721155460225e-14 relative error = 1.283561086021153e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.449999999999991 y[1] (analytic) = 12.4726357627173 y[1] (numeric) = 12.47263576271732 absolute error = 1.4210854715202e-14 relative error = 1.139362600299811e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.459999999999991 y[1] (analytic) = 12.48993849791453 y[1] (numeric) = 12.48993849791454 absolute error = 1.598721155460225e-14 relative error = 1.280007227999695e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.469999999999991 y[1] (analytic) = 12.50726523642998 y[1] (numeric) = 12.50726523642999 absolute error = 1.598721155460225e-14 relative error = 1.278233990595819e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.479999999999991 y[1] (analytic) = 12.52461601156239 y[1] (numeric) = 12.52461601156241 absolute error = 1.77635683940025e-14 relative error = 1.418292455242033e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.48999999999999 y[1] (analytic) = 12.5419908566567 y[1] (numeric) = 12.54199085665672 absolute error = 1.598721155460225e-14 relative error = 1.274694881962619e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 2.042e+08 Order of pole (six term test) = -2.127e+14 TOP MAIN SOLVE Loop x[1] = 2.49999999999999 y[1] (analytic) = 12.5593898051041 y[1] (numeric) = 12.55938980510412 absolute error = 1.598721155460225e-14 relative error = 1.272929003931791e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.50999999999999 y[1] (analytic) = 12.57681289034211 y[1] (numeric) = 12.57681289034213 absolute error = 1.77635683940025e-14 relative error = 1.412406191368512e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 6.543e+08 Order of pole (six term test) = -5.171e+14 TOP MAIN SOLVE Loop x[1] = 2.51999999999999 y[1] (analytic) = 12.59426014585462 y[1] (numeric) = 12.59426014585464 absolute error = 1.77635683940025e-14 relative error = 1.410449537192493e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.52999999999999 y[1] (analytic) = 12.61173160517199 y[1] (numeric) = 12.61173160517201 absolute error = 1.953992523340276e-14 relative error = 1.549345152999415e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.539999999999989 y[1] (analytic) = 12.62922730187108 y[1] (numeric) = 12.6292273018711 absolute error = 1.953992523340276e-14 relative error = 1.547198792637758e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.549999999999989 y[1] (analytic) = 12.64674726957535 y[1] (numeric) = 12.64674726957537 absolute error = 2.131628207280301e-14 relative error = 1.685514988038404e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.559999999999989 y[1] (analytic) = 12.66429154195487 y[1] (numeric) = 12.66429154195489 absolute error = 2.131628207280301e-14 relative error = 1.68317998698825e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 6.543e+08 Order of pole (six term test) = -5.171e+14 TOP MAIN SOLVE Loop x[1] = 2.569999999999989 y[1] (analytic) = 12.68186015272645 y[1] (numeric) = 12.68186015272647 absolute error = 2.309263891220326e-14 relative error = 1.820918905752057e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.579999999999989 y[1] (analytic) = 12.69945313565367 y[1] (numeric) = 12.69945313565369 absolute error = 2.309263891220326e-14 relative error = 1.818396325064641e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.589999999999988 y[1] (analytic) = 12.71707052454693 y[1] (numeric) = 12.71707052454695 absolute error = 2.131628207280301e-14 relative error = 1.676194374455782e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.599999999999988 y[1] (analytic) = 12.73471235326355 y[1] (numeric) = 12.73471235326357 absolute error = 2.309263891220326e-14 relative error = 1.813361642698216e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 1.105e+09 Order of pole (six term test) = -3.142e+14 TOP MAIN SOLVE Loop x[1] = 2.609999999999988 y[1] (analytic) = 12.75237865570782 y[1] (numeric) = 12.75237865570784 absolute error = 2.309263891220326e-14 relative error = 1.810849531343493e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.619999999999988 y[1] (analytic) = 12.77006946583104 y[1] (numeric) = 12.77006946583107 absolute error = 2.486899575160351e-14 relative error = 1.947444046263463e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.629999999999987 y[1] (analytic) = 12.78778481763166 y[1] (numeric) = 12.78778481763168 absolute error = 2.309263891220326e-14 relative error = 1.80583574415198e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.639999999999987 y[1] (analytic) = 12.80552474515524 y[1] (numeric) = 12.80552474515526 absolute error = 2.309263891220326e-14 relative error = 1.803334058679632e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.649999999999987 y[1] (analytic) = 12.82328928249459 y[1] (numeric) = 12.82328928249461 absolute error = 2.486899575160351e-14 relative error = 1.939361672636742e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 1.103e+09 Order of pole (six term test) = -4.122e+14 TOP MAIN SOLVE Loop x[1] = 2.659999999999987 y[1] (analytic) = 12.84107846378982 y[1] (numeric) = 12.84107846378985 absolute error = 2.664535259100376e-14 relative error = 2.07500893839565e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.669999999999987 y[1] (analytic) = 12.85889232322841 y[1] (numeric) = 12.85889232322843 absolute error = 2.486899575160351e-14 relative error = 1.933992067627781e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.679999999999986 y[1] (analytic) = 12.87673089504524 y[1] (numeric) = 12.87673089504527 absolute error = 2.664535259100376e-14 relative error = 2.069263760203023e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.689999999999986 y[1] (analytic) = 12.89459421352271 y[1] (numeric) = 12.89459421352274 absolute error = 2.486899575160351e-14 relative error = 1.928637329705428e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.699999999999986 y[1] (analytic) = 12.91248231299076 y[1] (numeric) = 12.91248231299079 absolute error = 2.664535259100376e-14 relative error = 2.063534488964749e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.709999999999986 y[1] (analytic) = 12.93039522782696 y[1] (numeric) = 12.93039522782699 absolute error = 2.664535259100376e-14 relative error = 2.060675804685491e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.719999999999986 y[1] (analytic) = 12.94833299245658 y[1] (numeric) = 12.94833299245661 absolute error = 2.842170943040401e-14 relative error = 2.195009152681035e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.729999999999985 y[1] (analytic) = 12.96629564135262 y[1] (numeric) = 12.96629564135265 absolute error = 2.842170943040401e-14 relative error = 2.191968332093274e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.739999999999985 y[1] (analytic) = 12.98428320903594 y[1] (numeric) = 12.98428320903597 absolute error = 2.842170943040401e-14 relative error = 2.188931724057354e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.749999999999985 y[1] (analytic) = 13.00229573007526 y[1] (numeric) = 13.00229573007529 absolute error = 3.019806626980426e-14 relative error = 2.322518030408578e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.759999999999985 y[1] (analytic) = 13.02033323908727 y[1] (numeric) = 13.0203332390873 absolute error = 3.019806626980426e-14 relative error = 2.319300567450081e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.769999999999984 y[1] (analytic) = 13.03839577073667 y[1] (numeric) = 13.0383957707367 absolute error = 3.019806626980426e-14 relative error = 2.31608756175209e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.779999999999984 y[1] (analytic) = 13.05648335973627 y[1] (numeric) = 13.0564833597363 absolute error = 3.197442310920451e-14 relative error = 2.448930713442151e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.789999999999984 y[1] (analytic) = 13.07459604084701 y[1] (numeric) = 13.07459604084704 absolute error = 3.019806626980426e-14 relative error = 2.309674897447e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.799999999999984 y[1] (analytic) = 13.09273384887806 y[1] (numeric) = 13.09273384887809 absolute error = 3.019806626980426e-14 relative error = 2.306475226515964e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.809999999999984 y[1] (analytic) = 13.1108968186869 y[1] (numeric) = 13.11089681868693 absolute error = 3.197442310920451e-14 relative error = 2.438767046326801e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.819999999999983 y[1] (analytic) = 13.12908498517934 y[1] (numeric) = 13.12908498517937 absolute error = 3.375077994860476e-14 relative error = 2.5706879029806e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.829999999999983 y[1] (analytic) = 13.14729838330963 y[1] (numeric) = 13.14729838330966 absolute error = 3.375077994860476e-14 relative error = 2.567126641884926e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 2.907e+09 Order of pole (six term test) = -1.56e+15 TOP MAIN SOLVE Loop x[1] = 2.839999999999983 y[1] (analytic) = 13.16553704808049 y[1] (numeric) = 13.16553704808053 absolute error = 3.552713678800501e-14 relative error = 2.698495067710496e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.849999999999983 y[1] (analytic) = 13.18380101454323 y[1] (numeric) = 13.18380101454326 absolute error = 3.730349362740526e-14 relative error = 2.82949458856784e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.859999999999983 y[1] (analytic) = 13.20209031779775 y[1] (numeric) = 13.20209031779779 absolute error = 3.552713678800501e-14 relative error = 2.691023613140325e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.869999999999982 y[1] (analytic) = 13.22040499299267 y[1] (numeric) = 13.22040499299271 absolute error = 3.730349362740526e-14 relative error = 2.821660429251416e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.879999999999982 y[1] (analytic) = 13.23874507532535 y[1] (numeric) = 13.23874507532539 absolute error = 3.730349362740526e-14 relative error = 2.817751487407389e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.889999999999982 y[1] (analytic) = 13.257110600042 y[1] (numeric) = 13.25711060004204 absolute error = 3.730349362740526e-14 relative error = 2.813847960753008e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.899999999999982 y[1] (analytic) = 13.2755016024377 y[1] (numeric) = 13.27550160243774 absolute error = 3.907985046680551e-14 relative error = 2.943756977109589e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.909999999999981 y[1] (analytic) = 13.29391811785651 y[1] (numeric) = 13.29391811785655 absolute error = 3.730349362740526e-14 relative error = 2.806057123016191e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.919999999999981 y[1] (analytic) = 13.31236018169152 y[1] (numeric) = 13.31236018169156 absolute error = 3.907985046680551e-14 relative error = 2.935606453959381e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 8.771e+08 Order of pole (six term test) = -2.42e+14 TOP MAIN SOLVE Loop x[1] = 2.929999999999981 y[1] (analytic) = 13.33082782938492 y[1] (numeric) = 13.33082782938495 absolute error = 3.907985046680551e-14 relative error = 2.931539658824673e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.939999999999981 y[1] (analytic) = 13.34932109642805 y[1] (numeric) = 13.34932109642809 absolute error = 3.907985046680551e-14 relative error = 2.927478497559125e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.949999999999981 y[1] (analytic) = 13.3678400183615 y[1] (numeric) = 13.36784001836154 absolute error = 4.085620730620576e-14 relative error = 3.056305824283309e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 1.265e+09 Order of pole (six term test) = -4.948e+14 TOP MAIN SOLVE Loop x[1] = 2.95999999999998 y[1] (analytic) = 13.38638463077518 y[1] (numeric) = 13.38638463077522 absolute error = 3.907985046680551e-14 relative error = 2.919373045427163e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.96999999999998 y[1] (analytic) = 13.40495496930835 y[1] (numeric) = 13.40495496930838 absolute error = 3.907985046680551e-14 relative error = 2.91532873898359e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.97999999999998 y[1] (analytic) = 13.4235510696497 y[1] (numeric) = 13.42355106964974 absolute error = 3.907985046680551e-14 relative error = 2.911290035254832e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.98999999999998 y[1] (analytic) = 13.44217296753746 y[1] (numeric) = 13.4421729675375 absolute error = 3.907985046680551e-14 relative error = 2.907256926479256e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 2.99999999999998 y[1] (analytic) = 13.46082069875942 y[1] (numeric) = 13.46082069875946 absolute error = 4.085620730620576e-14 relative error = 3.035194377856259e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.009999999999979 y[1] (analytic) = 13.47949429915303 y[1] (numeric) = 13.47949429915307 absolute error = 4.085620730620576e-14 relative error = 3.030989620194648e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.019999999999979 y[1] (analytic) = 13.49819380460543 y[1] (numeric) = 13.49819380460547 absolute error = 4.085620730620576e-14 relative error = 3.026790687526363e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 3.58e+09 Order of pole (six term test) = -5.803e+15 TOP MAIN SOLVE Loop x[1] = 3.029999999999979 y[1] (analytic) = 13.51691925105357 y[1] (numeric) = 13.51691925105361 absolute error = 4.085620730620576e-14 relative error = 3.022597571781843e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.039999999999979 y[1] (analytic) = 13.53567067448424 y[1] (numeric) = 13.53567067448428 absolute error = 4.085620730620576e-14 relative error = 3.018410264902706e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.049999999999979 y[1] (analytic) = 13.55444811093416 y[1] (numeric) = 13.5544481109342 absolute error = 4.085620730620576e-14 relative error = 3.014228758841734e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.059999999999978 y[1] (analytic) = 13.57325159649004 y[1] (numeric) = 13.57325159649008 absolute error = 4.263256414560601e-14 relative error = 3.140924917109068e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.069999999999978 y[1] (analytic) = 13.59208116728865 y[1] (numeric) = 13.5920811672887 absolute error = 4.263256414560601e-14 relative error = 3.136573687347274e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.079999999999978 y[1] (analytic) = 13.6109368595169 y[1] (numeric) = 13.61093685951694 absolute error = 4.263256414560601e-14 relative error = 3.132228485491571e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 6.543e+08 Order of pole (six term test) = -5.171e+14 TOP MAIN SOLVE Loop x[1] = 3.089999999999978 y[1] (analytic) = 13.62981870941188 y[1] (numeric) = 13.62981870941192 absolute error = 4.085620730620576e-14 relative error = 2.997560582224993e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.099999999999977 y[1] (analytic) = 13.64872675326096 y[1] (numeric) = 13.648726753261 absolute error = 4.440892098500626e-14 relative error = 3.253704304278498e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.109999999999977 y[1] (analytic) = 13.66766102740186 y[1] (numeric) = 13.66766102740191 absolute error = 4.263256414560601e-14 relative error = 3.11922896391221e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 3.34e+09 Order of pole (six term test) = -5.807e+15 TOP MAIN SOLVE Loop x[1] = 3.119999999999977 y[1] (analytic) = 13.68662156822271 y[1] (numeric) = 13.68662156822275 absolute error = 4.263256414560601e-14 relative error = 3.11490779028985e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.129999999999977 y[1] (analytic) = 13.7056084121621 y[1] (numeric) = 13.70560841216215 absolute error = 4.263256414560601e-14 relative error = 3.110592602935792e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.139999999999977 y[1] (analytic) = 13.72462159570919 y[1] (numeric) = 13.72462159570923 absolute error = 4.440892098500626e-14 relative error = 3.235711868288601e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.149999999999976 y[1] (analytic) = 13.74366115540374 y[1] (numeric) = 13.74366115540379 absolute error = 4.440892098500626e-14 relative error = 3.231229326950158e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.159999999999976 y[1] (analytic) = 13.76272712783622 y[1] (numeric) = 13.76272712783627 absolute error = 4.440892098500626e-14 relative error = 3.226752995428184e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.169999999999976 y[1] (analytic) = 13.78181954964785 y[1] (numeric) = 13.7818195496479 absolute error = 4.618527782440651e-14 relative error = 3.351174179724812e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.179999999999976 y[1] (analytic) = 13.80093845753068 y[1] (numeric) = 13.80093845753073 absolute error = 4.796163466380676e-14 relative error = 3.475244441629679e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.189999999999976 y[1] (analytic) = 13.82008388822767 y[1] (numeric) = 13.82008388822771 absolute error = 4.618527782440651e-14 relative error = 3.341895620745719e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.199999999999975 y[1] (analytic) = 13.83925587853273 y[1] (numeric) = 13.83925587853278 absolute error = 4.796163466380676e-14 relative error = 3.465622363280689e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.209999999999975 y[1] (analytic) = 13.85845446529085 y[1] (numeric) = 13.85845446529089 absolute error = 4.796163466380676e-14 relative error = 3.460821319139803e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.219999999999975 y[1] (analytic) = 13.87767968539809 y[1] (numeric) = 13.87767968539814 absolute error = 4.973799150320701e-14 relative error = 3.584027923309159e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.229999999999975 y[1] (analytic) = 13.89693157580173 y[1] (numeric) = 13.89693157580178 absolute error = 4.973799150320701e-14 relative error = 3.57906284793214e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.239999999999974 y[1] (analytic) = 13.91621017350029 y[1] (numeric) = 13.91621017350033 absolute error = 4.796163466380676e-14 relative error = 3.44645805616941e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.249999999999974 y[1] (analytic) = 13.9355155155436 y[1] (numeric) = 13.93551551554365 absolute error = 4.973799150320701e-14 relative error = 3.56915332251107e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.259999999999974 y[1] (analytic) = 13.95484763903293 y[1] (numeric) = 13.95484763903298 absolute error = 4.973799150320701e-14 relative error = 3.56420885342277e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.269999999999974 y[1] (analytic) = 13.97420658112098 y[1] (numeric) = 13.97420658112103 absolute error = 5.151434834260726e-14 relative error = 3.686388063863508e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.279999999999974 y[1] (analytic) = 13.99359237901201 y[1] (numeric) = 13.99359237901206 absolute error = 5.329070518200751e-14 relative error = 3.808221916048836e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 2.766e+09 Order of pole (six term test) = -2.437e+15 TOP MAIN SOLVE Loop x[1] = 3.289999999999973 y[1] (analytic) = 14.01300506996188 y[1] (numeric) = 14.01300506996194 absolute error = 5.329070518200751e-14 relative error = 3.802946257133729e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.299999999999973 y[1] (analytic) = 14.03244469127815 y[1] (numeric) = 14.0324446912782 absolute error = 5.506706202140776e-14 relative error = 3.924267170326682e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 7.117e+08 Order of pole (six term test) = -1.864e+14 TOP MAIN SOLVE Loop x[1] = 3.309999999999973 y[1] (analytic) = 14.05191128032011 y[1] (numeric) = 14.05191128032016 absolute error = 5.329070518200751e-14 relative error = 3.792416854826138e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.319999999999973 y[1] (analytic) = 14.0714048744989 y[1] (numeric) = 14.07140487449895 absolute error = 5.684341886080801e-14 relative error = 4.039640630611326e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 7.626e+08 Order of pole (six term test) = -4.381e+14 TOP MAIN SOLVE Loop x[1] = 3.329999999999973 y[1] (analytic) = 14.09092551127755 y[1] (numeric) = 14.0909255112776 absolute error = 5.506706202140776e-14 relative error = 3.907980492646514e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.339999999999972 y[1] (analytic) = 14.11047322817106 y[1] (numeric) = 14.11047322817111 absolute error = 5.506706202140776e-14 relative error = 3.902566634793534e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.349999999999972 y[1] (analytic) = 14.13004806274647 y[1] (numeric) = 14.13004806274652 absolute error = 5.684341886080801e-14 relative error = 4.022875124584631e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.359999999999972 y[1] (analytic) = 14.14965005262295 y[1] (numeric) = 14.149650052623 absolute error = 5.506706202140776e-14 relative error = 3.89176140869999e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.369999999999972 y[1] (analytic) = 14.16927923547183 y[1] (numeric) = 14.16927923547189 absolute error = 5.684341886080801e-14 relative error = 4.011736794522644e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.379999999999971 y[1] (analytic) = 14.18893564901673 y[1] (numeric) = 14.18893564901679 absolute error = 5.861977570020827e-14 relative error = 4.1313722995333e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.389999999999971 y[1] (analytic) = 14.20861933103359 y[1] (numeric) = 14.20861933103365 absolute error = 5.861977570020827e-14 relative error = 4.125648969437486e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.399999999999971 y[1] (analytic) = 14.22833031935074 y[1] (numeric) = 14.2283303193508 absolute error = 5.861977570020827e-14 relative error = 4.11993356806487e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.409999999999971 y[1] (analytic) = 14.24806865184902 y[1] (numeric) = 14.24806865184907 absolute error = 5.684341886080801e-14 relative error = 3.989552566721474e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.419999999999971 y[1] (analytic) = 14.26783436646178 y[1] (numeric) = 14.26783436646184 absolute error = 5.684341886080801e-14 relative error = 3.984025704309068e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.42999999999997 y[1] (analytic) = 14.28762750117503 y[1] (numeric) = 14.28762750117508 absolute error = 5.684341886080801e-14 relative error = 3.978506498446517e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 1.103e+09 Order of pole (six term test) = -4.122e+14 TOP MAIN SOLVE Loop x[1] = 3.43999999999997 y[1] (analytic) = 14.30744809402745 y[1] (numeric) = 14.30744809402751 absolute error = 5.861977570020827e-14 relative error = 4.097151030355909e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.44999999999997 y[1] (analytic) = 14.32729618311051 y[1] (numeric) = 14.32729618311057 absolute error = 5.861977570020827e-14 relative error = 4.091475108144353e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.45999999999997 y[1] (analytic) = 14.34717180656851 y[1] (numeric) = 14.34717180656857 absolute error = 5.861977570020827e-14 relative error = 4.085807048980244e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.46999999999997 y[1] (analytic) = 14.36707500259867 y[1] (numeric) = 14.36707500259873 absolute error = 6.039613253960852e-14 relative error = 4.203787655363687e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.479999999999969 y[1] (analytic) = 14.3870058094512 y[1] (numeric) = 14.38700580945126 absolute error = 6.039613253960852e-14 relative error = 4.197964005820636e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.489999999999969 y[1] (analytic) = 14.40696426542936 y[1] (numeric) = 14.40696426542942 absolute error = 6.039613253960852e-14 relative error = 4.192148423976712e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.499999999999969 y[1] (analytic) = 14.42695040888957 y[1] (numeric) = 14.42695040888963 absolute error = 6.217248937900877e-14 relative error = 4.309468572145325e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.509999999999969 y[1] (analytic) = 14.44696427824144 y[1] (numeric) = 14.44696427824151 absolute error = 6.394884621840902e-14 relative error = 4.426455619795662e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 1.029e+09 Order of pole (six term test) = -1.133e+15 TOP MAIN SOLVE Loop x[1] = 3.519999999999968 y[1] (analytic) = 14.46700591194788 y[1] (numeric) = 14.46700591194794 absolute error = 6.217248937900877e-14 relative error = 4.297536736862899e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 4.993e+08 Order of pole (six term test) = -6.397e+14 TOP MAIN SOLVE Loop x[1] = 3.529999999999968 y[1] (analytic) = 14.48707534852514 y[1] (numeric) = 14.4870753485252 absolute error = 6.394884621840902e-14 relative error = 4.414199876783228e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 9.46e+08 Order of pole (six term test) = -6.283e+14 TOP MAIN SOLVE Loop x[1] = 3.539999999999968 y[1] (analytic) = 14.50717262654291 y[1] (numeric) = 14.50717262654298 absolute error = 6.572520305780927e-14 relative error = 4.530531534280895e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.549999999999968 y[1] (analytic) = 14.5272977846244 y[1] (numeric) = 14.52729778462447 absolute error = 6.750155989720952e-14 relative error = 4.646532403889507e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.559999999999968 y[1] (analytic) = 14.54745086144638 y[1] (numeric) = 14.54745086144644 absolute error = 6.394884621840902e-14 relative error = 4.395879857404165e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.569999999999967 y[1] (analytic) = 14.56763189573928 y[1] (numeric) = 14.56763189573934 absolute error = 6.572520305780927e-14 relative error = 4.511728709800286e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.579999999999967 y[1] (analytic) = 14.58784092628726 y[1] (numeric) = 14.58784092628733 absolute error = 6.394884621840902e-14 relative error = 4.383708770992512e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.589999999999967 y[1] (analytic) = 14.60807799192829 y[1] (numeric) = 14.60807799192836 absolute error = 6.927791673660977e-14 relative error = 4.742438859847911e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.599999999999967 y[1] (analytic) = 14.62834313155421 y[1] (numeric) = 14.62834313155428 absolute error = 6.927791673660977e-14 relative error = 4.735868998531566e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.609999999999967 y[1] (analytic) = 14.64863638411082 y[1] (numeric) = 14.64863638411089 absolute error = 6.750155989720952e-14 relative error = 4.608043924854844e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.619999999999966 y[1] (analytic) = 14.66895778859794 y[1] (numeric) = 14.66895778859801 absolute error = 6.750155989720952e-14 relative error = 4.601660245397795e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.629999999999966 y[1] (analytic) = 14.6893073840695 y[1] (numeric) = 14.68930738406957 absolute error = 6.750155989720952e-14 relative error = 4.595285409468298e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.639999999999966 y[1] (analytic) = 14.7096852096336 y[1] (numeric) = 14.70968520963367 absolute error = 7.105427357601002e-14 relative error = 4.830441478752753e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.649999999999966 y[1] (analytic) = 14.7300913044526 y[1] (numeric) = 14.73009130445267 absolute error = 6.750155989720952e-14 relative error = 4.582562219203978e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.659999999999966 y[1] (analytic) = 14.75052570774318 y[1] (numeric) = 14.75052570774325 absolute error = 6.927791673660977e-14 relative error = 4.69664052042856e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.669999999999965 y[1] (analytic) = 14.77098845877643 y[1] (numeric) = 14.7709884587765 absolute error = 7.105427357601002e-14 relative error = 4.810393953953158e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.679999999999965 y[1] (analytic) = 14.79147959687793 y[1] (numeric) = 14.79147959687799 absolute error = 6.927791673660977e-14 relative error = 4.683636703337807e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.689999999999965 y[1] (analytic) = 14.81199916142778 y[1] (numeric) = 14.81199916142785 absolute error = 7.105427357601002e-14 relative error = 4.797075182197137e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.699999999999965 y[1] (analytic) = 14.83254719186075 y[1] (numeric) = 14.83254719186083 absolute error = 7.283063041541027e-14 relative error = 4.91019037211461e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.709999999999964 y[1] (analytic) = 14.8531237276663 y[1] (numeric) = 14.85312372766637 absolute error = 7.283063041541027e-14 relative error = 4.903388118941718e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.719999999999964 y[1] (analytic) = 14.87372880838867 y[1] (numeric) = 14.87372880838874 absolute error = 7.105427357601002e-14 relative error = 4.777166135766571e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 1.952e+09 Order of pole (six term test) = -1.284e+15 TOP MAIN SOLVE Loop x[1] = 3.729999999999964 y[1] (analytic) = 14.89436247362694 y[1] (numeric) = 14.89436247362702 absolute error = 7.283063041541027e-14 relative error = 4.88981186971712e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.739999999999964 y[1] (analytic) = 14.91502476303516 y[1] (numeric) = 14.91502476303524 absolute error = 7.638334409421077e-14 relative error = 5.121234815748772e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.749999999999964 y[1] (analytic) = 14.93571571632238 y[1] (numeric) = 14.93571571632246 absolute error = 7.460698725481052e-14 relative error = 4.995206702634066e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.759999999999963 y[1] (analytic) = 14.95643537325272 y[1] (numeric) = 14.95643537325279 absolute error = 7.460698725481052e-14 relative error = 4.988286673456539e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.769999999999963 y[1] (analytic) = 14.97718377364547 y[1] (numeric) = 14.97718377364555 absolute error = 7.638334409421077e-14 relative error = 5.099980426802158e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 8.454e+08 Order of pole (six term test) = 3.226e+14 TOP MAIN SOLVE Loop x[1] = 3.779999999999963 y[1] (analytic) = 14.99796095737517 y[1] (numeric) = 14.99796095737524 absolute error = 7.638334409421077e-14 relative error = 5.09291525103282e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.789999999999963 y[1] (analytic) = 15.01876696437166 y[1] (numeric) = 15.01876696437173 absolute error = 7.815970093361102e-14 relative error = 5.204135673655884e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.799999999999963 y[1] (analytic) = 15.03960183462018 y[1] (numeric) = 15.03960183462026 absolute error = 7.638334409421077e-14 relative error = 5.078814248817498e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.809999999999962 y[1] (analytic) = 15.06046560816146 y[1] (numeric) = 15.06046560816153 absolute error = 7.815970093361102e-14 relative error = 5.189726730045802e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.819999999999962 y[1] (analytic) = 15.08135832509174 y[1] (numeric) = 15.08135832509181 absolute error = 7.638334409421077e-14 relative error = 5.064752288732994e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.829999999999962 y[1] (analytic) = 15.1022800255629 y[1] (numeric) = 15.10228002556298 absolute error = 7.815970093361102e-14 relative error = 5.175357681178859e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.839999999999962 y[1] (analytic) = 15.12323074978254 y[1] (numeric) = 15.12323074978262 absolute error = 7.993605777301127e-14 relative error = 5.285646902806182e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.849999999999961 y[1] (analytic) = 15.144210538014 y[1] (numeric) = 15.14421053801408 absolute error = 8.348877145181177e-14 relative error = 5.512916717728122e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.859999999999961 y[1] (analytic) = 15.16521943057651 y[1] (numeric) = 15.1652194305766 absolute error = 8.171241461241152e-14 relative error = 5.388145881203724e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.869999999999961 y[1] (analytic) = 15.18625746784522 y[1] (numeric) = 15.1862574678453 absolute error = 8.171241461241152e-14 relative error = 5.380681500061891e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.879999999999961 y[1] (analytic) = 15.20732469025129 y[1] (numeric) = 15.20732469025137 absolute error = 7.993605777301127e-14 relative error = 5.256418166980717e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.889999999999961 y[1] (analytic) = 15.22842113828196 y[1] (numeric) = 15.22842113828204 absolute error = 8.348877145181177e-14 relative error = 5.482431218160469e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.89999999999996 y[1] (analytic) = 15.24954685248064 y[1] (numeric) = 15.24954685248073 absolute error = 8.526512829121202e-14 relative error = 5.591322097373795e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.90999999999996 y[1] (analytic) = 15.27070187344701 y[1] (numeric) = 15.27070187344709 absolute error = 8.348877145181177e-14 relative error = 5.467251744137815e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.91999999999996 y[1] (analytic) = 15.29188624183704 y[1] (numeric) = 15.29188624183712 absolute error = 8.348877145181177e-14 relative error = 5.459677774962453e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.92999999999996 y[1] (analytic) = 15.3130999983631 y[1] (numeric) = 15.31309999836319 absolute error = 8.348877145181177e-14 relative error = 5.452114298263338e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.93999999999996 y[1] (analytic) = 15.33434318379407 y[1] (numeric) = 15.33434318379415 absolute error = 8.704148513061227e-14 relative error = 5.676244759058289e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.949999999999959 y[1] (analytic) = 15.35561583895535 y[1] (numeric) = 15.35561583895544 absolute error = 8.704148513061227e-14 relative error = 5.66838126477471e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.959999999999959 y[1] (analytic) = 15.376918004729 y[1] (numeric) = 15.37691800472908 absolute error = 8.526512829121202e-14 relative error = 5.545007670912317e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.969999999999959 y[1] (analytic) = 15.39824972205378 y[1] (numeric) = 15.39824972205387 absolute error = 8.704148513061227e-14 relative error = 5.652686941811909e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 9.664e+08 Order of pole (six term test) = 1.484e+14 TOP MAIN SOLVE Loop x[1] = 3.979999999999959 y[1] (analytic) = 15.41961103192526 y[1] (numeric) = 15.41961103192534 absolute error = 8.704148513061227e-14 relative error = 5.644856082971146e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.989999999999958 y[1] (analytic) = 15.44100197539585 y[1] (numeric) = 15.44100197539594 absolute error = 8.881784197001252e-14 relative error = 5.75207762498428e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 3.999999999999958 y[1] (analytic) = 15.46242259357494 y[1] (numeric) = 15.46242259357503 absolute error = 8.881784197001252e-14 relative error = 5.744109076860876e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.009999999999958 y[1] (analytic) = 15.48387292762895 y[1] (numeric) = 15.48387292762904 absolute error = 8.704148513061227e-14 relative error = 5.621428536480566e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.019999999999958 y[1] (analytic) = 15.50535301878138 y[1] (numeric) = 15.50535301878147 absolute error = 9.059419880941277e-14 relative error = 5.842769184273167e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.029999999999958 y[1] (analytic) = 15.52686290831294 y[1] (numeric) = 15.52686290831303 absolute error = 8.881784197001252e-14 relative error = 5.720269605939538e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.039999999999957 y[1] (analytic) = 15.54840263756161 y[1] (numeric) = 15.5484026375617 absolute error = 9.237055564881302e-14 relative error = 5.940838927444905e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.049999999999957 y[1] (analytic) = 15.56997224792269 y[1] (numeric) = 15.56997224792278 absolute error = 9.059419880941277e-14 relative error = 5.818520249546343e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.059999999999957 y[1] (analytic) = 15.59157178084894 y[1] (numeric) = 15.59157178084904 absolute error = 9.059419880941277e-14 relative error = 5.810459656202796e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.069999999999957 y[1] (analytic) = 15.61320127785061 y[1] (numeric) = 15.6132012778507 absolute error = 9.237055564881302e-14 relative error = 5.916182979069954e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 1.579e+09 Order of pole (six term test) = -1.11e+15 TOP MAIN SOLVE Loop x[1] = 4.079999999999957 y[1] (analytic) = 15.63486078049552 y[1] (numeric) = 15.63486078049561 absolute error = 9.237055564881302e-14 relative error = 5.907987090236532e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.089999999999956 y[1] (analytic) = 15.65655033040918 y[1] (numeric) = 15.65655033040928 absolute error = 9.592326932761353e-14 relative error = 6.126718038347505e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.099999999999956 y[1] (analytic) = 15.67826996927484 y[1] (numeric) = 15.67826996927493 absolute error = 9.414691248821327e-14 relative error = 6.004929923563997e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.109999999999956 y[1] (analytic) = 15.70001973883356 y[1] (numeric) = 15.70001973883365 absolute error = 9.237055564881302e-14 relative error = 5.883467485097297e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.119999999999956 y[1] (analytic) = 15.72179968088432 y[1] (numeric) = 15.72179968088442 absolute error = 9.414691248821327e-14 relative error = 5.988303781957212e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.129999999999955 y[1] (analytic) = 15.74360983728409 y[1] (numeric) = 15.74360983728418 absolute error = 9.414691248821327e-14 relative error = 5.98000798173073e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.139999999999955 y[1] (analytic) = 15.76545024994788 y[1] (numeric) = 15.76545024994798 absolute error = 9.769962616701378e-14 relative error = 6.19707173712573e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.149999999999955 y[1] (analytic) = 15.78732096084888 y[1] (numeric) = 15.78732096084898 absolute error = 9.592326932761353e-14 relative error = 6.075968783145317e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.159999999999955 y[1] (analytic) = 15.80922201201849 y[1] (numeric) = 15.80922201201859 absolute error = 9.592326932761353e-14 relative error = 6.067551537620935e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.169999999999955 y[1] (analytic) = 15.83115344554642 y[1] (numeric) = 15.83115344554651 absolute error = 9.592326932761353e-14 relative error = 6.059145952792115e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.179999999999954 y[1] (analytic) = 15.85311530358076 y[1] (numeric) = 15.85311530358086 absolute error = 9.769962616701378e-14 relative error = 6.162802975699434e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.189999999999954 y[1] (analytic) = 15.8751076283281 y[1] (numeric) = 15.8751076283282 absolute error = 9.947598300641403e-14 relative error = 6.266161171021328e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.199999999999954 y[1] (analytic) = 15.89713046205355 y[1] (numeric) = 15.89713046205365 absolute error = 9.769962616701378e-14 relative error = 6.145739723293004e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.209999999999954 y[1] (analytic) = 15.91918384708086 y[1] (numeric) = 15.91918384708096 absolute error = 9.947598300641403e-14 relative error = 6.248811745751348e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.219999999999954 y[1] (analytic) = 15.94126782579251 y[1] (numeric) = 15.94126782579261 absolute error = 9.947598300641403e-14 relative error = 6.24015505501167e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.229999999999953 y[1] (analytic) = 15.96338244062975 y[1] (numeric) = 15.96338244062985 absolute error = 1.012523398458143e-13 relative error = 6.342787327334112e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.239999999999953 y[1] (analytic) = 15.98552773409273 y[1] (numeric) = 15.98552773409283 absolute error = 1.012523398458143e-13 relative error = 6.334000449035592e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.249999999999953 y[1] (analytic) = 16.00770374874055 y[1] (numeric) = 16.00770374874065 absolute error = 1.030286966852145e-13 relative error = 6.436194616190383e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.259999999999953 y[1] (analytic) = 16.02991052719134 y[1] (numeric) = 16.02991052719144 absolute error = 9.947598300641403e-14 relative error = 6.205648050104468e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.269999999999953 y[1] (analytic) = 16.05214811212237 y[1] (numeric) = 16.05214811212247 absolute error = 9.947598300641403e-14 relative error = 6.197051155495575e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.279999999999952 y[1] (analytic) = 16.0744165462701 y[1] (numeric) = 16.0744165462702 absolute error = 9.947598300641403e-14 relative error = 6.188466170456209e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.289999999999952 y[1] (analytic) = 16.09671587243028 y[1] (numeric) = 16.09671587243038 absolute error = 9.947598300641403e-14 relative error = 6.17989307848764e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.299999999999952 y[1] (analytic) = 16.11904613345803 y[1] (numeric) = 16.11904613345814 absolute error = 1.030286966852145e-13 relative error = 6.391736572510924e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.309999999999952 y[1] (analytic) = 16.14140737226794 y[1] (numeric) = 16.14140737226804 absolute error = 9.947598300641403e-14 relative error = 6.162782507882223e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 1.701e+09 Order of pole (six term test) = -1.225e+15 TOP MAIN SOLVE Loop x[1] = 4.319999999999951 y[1] (analytic) = 16.1637996318341 y[1] (numeric) = 16.1637996318342 absolute error = 1.030286966852145e-13 relative error = 6.374039460517857e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.329999999999951 y[1] (analytic) = 16.18622295519023 y[1] (numeric) = 16.18622295519033 absolute error = 9.947598300641403e-14 relative error = 6.145719312146034e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.339999999999951 y[1] (analytic) = 16.20867738542974 y[1] (numeric) = 16.20867738542985 absolute error = 1.030286966852145e-13 relative error = 6.356391347379692e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.349999999999951 y[1] (analytic) = 16.23116296570586 y[1] (numeric) = 16.23116296570596 absolute error = 1.030286966852145e-13 relative error = 6.347585622971042e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.359999999999951 y[1] (analytic) = 16.25367973923164 y[1] (numeric) = 16.25367973923174 absolute error = 1.030286966852145e-13 relative error = 6.338792097430918e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.36999999999995 y[1] (analytic) = 16.27622774928009 y[1] (numeric) = 16.27622774928019 absolute error = 9.947598300641403e-14 relative error = 6.111734520968099e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.37999999999995 y[1] (analytic) = 16.29880703918426 y[1] (numeric) = 16.29880703918436 absolute error = 9.947598300641403e-14 relative error = 6.10326772795469e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.38999999999995 y[1] (analytic) = 16.32141765233731 y[1] (numeric) = 16.32141765233741 absolute error = 1.030286966852145e-13 relative error = 6.312484545143683e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.39999999999995 y[1] (analytic) = 16.34405963219259 y[1] (numeric) = 16.34405963219269 absolute error = 1.030286966852145e-13 relative error = 6.303739646316564e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.40999999999995 y[1] (analytic) = 16.36673302226374 y[1] (numeric) = 16.36673302226384 absolute error = 1.030286966852145e-13 relative error = 6.295006862094233e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.419999999999949 y[1] (analytic) = 16.38943786612476 y[1] (numeric) = 16.38943786612486 absolute error = 1.030286966852145e-13 relative error = 6.28628617569392e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.429999999999949 y[1] (analytic) = 16.4121742074101 y[1] (numeric) = 16.41217420741021 absolute error = 1.030286966852145e-13 relative error = 6.277577570356097e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.439999999999949 y[1] (analytic) = 16.43494208981475 y[1] (numeric) = 16.43494208981485 absolute error = 1.06581410364015e-13 relative error = 6.485049340701169e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.449999999999949 y[1] (analytic) = 16.45774155709429 y[1] (numeric) = 16.4577415570944 absolute error = 1.06581410364015e-13 relative error = 6.476065382012996e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.459999999999948 y[1] (analytic) = 16.48057265306504 y[1] (numeric) = 16.48057265306515 absolute error = 1.06581410364015e-13 relative error = 6.46709386910734e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.469999999999948 y[1] (analytic) = 16.50343542160407 y[1] (numeric) = 16.50343542160418 absolute error = 1.06581410364015e-13 relative error = 6.458134784742638e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.479999999999948 y[1] (analytic) = 16.52632990664933 y[1] (numeric) = 16.52632990664944 absolute error = 1.030286966852145e-13 relative error = 6.234215174644502e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.489999999999948 y[1] (analytic) = 16.54925615219973 y[1] (numeric) = 16.54925615219983 absolute error = 1.06581410364015e-13 relative error = 6.440253832789229e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.499999999999948 y[1] (analytic) = 16.57221420231521 y[1] (numeric) = 16.57221420231531 absolute error = 1.06581410364015e-13 relative error = 6.431331930836688e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.509999999999947 y[1] (analytic) = 16.59520410111682 y[1] (numeric) = 16.59520410111693 absolute error = 1.101341240428155e-13 relative error = 6.636503134987278e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.519999999999947 y[1] (analytic) = 16.61822589278686 y[1] (numeric) = 16.61822589278697 absolute error = 1.06581410364015e-13 relative error = 6.413525189248791e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.529999999999947 y[1] (analytic) = 16.64127962156888 y[1] (numeric) = 16.64127962156899 absolute error = 1.06581410364015e-13 relative error = 6.404640315392219e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.539999999999947 y[1] (analytic) = 16.66436533176781 y[1] (numeric) = 16.66436533176793 absolute error = 1.13686837721616e-13 relative error = 6.822152266722764e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.549999999999947 y[1] (analytic) = 16.68748306775007 y[1] (numeric) = 16.68748306775019 absolute error = 1.13686837721616e-13 relative error = 6.812701307923731e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 4.412e+08 Order of pole (six term test) = -4.83e+14 TOP MAIN SOLVE Loop x[1] = 4.559999999999946 y[1] (analytic) = 16.71063287394361 y[1] (numeric) = 16.71063287394372 absolute error = 1.13686837721616e-13 relative error = 6.8032634418583e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.569999999999946 y[1] (analytic) = 16.733814794838 y[1] (numeric) = 16.73381479483811 absolute error = 1.101341240428155e-13 relative error = 6.581531192564016e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.579999999999946 y[1] (analytic) = 16.75702887498455 y[1] (numeric) = 16.75702887498466 absolute error = 1.101341240428155e-13 relative error = 6.572413574295823e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.589999999999946 y[1] (analytic) = 16.78027515899637 y[1] (numeric) = 16.78027515899648 absolute error = 1.101341240428155e-13 relative error = 6.563308586973293e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.599999999999945 y[1] (analytic) = 16.80355369154845 y[1] (numeric) = 16.80355369154857 absolute error = 1.13686837721616e-13 relative error = 6.765642542553138e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.609999999999945 y[1] (analytic) = 16.82686451737777 y[1] (numeric) = 16.82686451737788 absolute error = 1.101341240428155e-13 relative error = 6.54513643519716e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.619999999999945 y[1] (analytic) = 16.85020768128335 y[1] (numeric) = 16.85020768128346 absolute error = 1.101341240428155e-13 relative error = 6.536069235820092e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.629999999999945 y[1] (analytic) = 16.87358322812639 y[1] (numeric) = 16.8735832281265 absolute error = 1.13686837721616e-13 relative error = 6.737563455526905e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.639999999999945 y[1] (analytic) = 16.89699120283028 y[1] (numeric) = 16.8969912028304 absolute error = 1.13686837721616e-13 relative error = 6.728229680475494e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.649999999999944 y[1] (analytic) = 16.92043165038078 y[1] (numeric) = 16.92043165038089 absolute error = 1.13686837721616e-13 relative error = 6.718908835819068e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.659999999999944 y[1] (analytic) = 16.94390461582601 y[1] (numeric) = 16.94390461582613 absolute error = 1.13686837721616e-13 relative error = 6.709600903644712e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.669999999999944 y[1] (analytic) = 16.96741014427663 y[1] (numeric) = 16.96741014427674 absolute error = 1.13686837721616e-13 relative error = 6.700305866064325e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.679999999999944 y[1] (analytic) = 16.99094828090583 y[1] (numeric) = 16.99094828090594 absolute error = 1.13686837721616e-13 relative error = 6.691023705214592e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.689999999999944 y[1] (analytic) = 17.0145190709495 y[1] (numeric) = 17.01451907094962 absolute error = 1.172395514004165e-13 relative error = 6.890559228358719e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.699999999999943 y[1] (analytic) = 17.03812255970629 y[1] (numeric) = 17.03812255970641 absolute error = 1.172395514004165e-13 relative error = 6.881013503076806e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.709999999999943 y[1] (analytic) = 17.06175879253766 y[1] (numeric) = 17.06175879253778 absolute error = 1.20792265079217e-13 relative error = 7.079707698836314e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.719999999999943 y[1] (analytic) = 17.08542781486802 y[1] (numeric) = 17.08542781486814 absolute error = 1.172395514004165e-13 relative error = 6.861961706243771e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.729999999999943 y[1] (analytic) = 17.10912967218479 y[1] (numeric) = 17.10912967218491 absolute error = 1.20792265079217e-13 relative error = 7.060105767717419e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.739999999999942 y[1] (analytic) = 17.13286441003849 y[1] (numeric) = 17.13286441003861 absolute error = 1.20792265079217e-13 relative error = 7.050325163867078e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.749999999999942 y[1] (analytic) = 17.15663207404283 y[1] (numeric) = 17.15663207404295 absolute error = 1.20792265079217e-13 relative error = 7.040558109418804e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 8.454e+08 Order of pole (six term test) = 3.226e+14 TOP MAIN SOLVE Loop x[1] = 4.759999999999942 y[1] (analytic) = 17.18043270987481 y[1] (numeric) = 17.18043270987494 absolute error = 1.20792265079217e-13 relative error = 7.030804585602151e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.769999999999942 y[1] (analytic) = 17.20426636327479 y[1] (numeric) = 17.20426636327491 absolute error = 1.20792265079217e-13 relative error = 7.021064573672675e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.779999999999942 y[1] (analytic) = 17.22813308004656 y[1] (numeric) = 17.22813308004668 absolute error = 1.20792265079217e-13 relative error = 7.011338054911901e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.789999999999941 y[1] (analytic) = 17.25203290605748 y[1] (numeric) = 17.25203290605761 absolute error = 1.243449787580175e-13 relative error = 7.207555157998678e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.799999999999941 y[1] (analytic) = 17.27596588723854 y[1] (numeric) = 17.27596588723867 absolute error = 1.243449787580175e-13 relative error = 7.197570287509599e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.809999999999941 y[1] (analytic) = 17.29993206958443 y[1] (numeric) = 17.29993206958456 absolute error = 1.243449787580175e-13 relative error = 7.187599249400085e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.819999999999941 y[1] (analytic) = 17.32393149915367 y[1] (numeric) = 17.32393149915379 absolute error = 1.20792265079217e-13 relative error = 6.972566538093167e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.829999999999941 y[1] (analytic) = 17.34796422206864 y[1] (numeric) = 17.34796422206876 absolute error = 1.20792265079217e-13 relative error = 6.962907205305114e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.83999999999994 y[1] (analytic) = 17.37203028451572 y[1] (numeric) = 17.37203028451585 absolute error = 1.243449787580175e-13 relative error = 7.157768937856988e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.84999999999994 y[1] (analytic) = 17.39612973274539 y[1] (numeric) = 17.39612973274552 absolute error = 1.243449787580175e-13 relative error = 7.147853037906373e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.85999999999994 y[1] (analytic) = 17.42026261307226 y[1] (numeric) = 17.42026261307238 absolute error = 1.243449787580175e-13 relative error = 7.137950874788098e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 2.774e+09 Order of pole (six term test) = -2.687e+15 TOP MAIN SOLVE Loop x[1] = 4.86999999999994 y[1] (analytic) = 17.44442897187519 y[1] (numeric) = 17.44442897187532 absolute error = 1.243449787580175e-13 relative error = 7.128062429472063e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.879999999999939 y[1] (analytic) = 17.4686288555974 y[1] (numeric) = 17.46862885559752 absolute error = 1.243449787580175e-13 relative error = 7.118187682954532e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.889999999999939 y[1] (analytic) = 17.49286231074651 y[1] (numeric) = 17.49286231074663 absolute error = 1.27897692436818e-13 relative error = 7.311421662436901e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.899999999999939 y[1] (analytic) = 17.51712938389468 y[1] (numeric) = 17.5171293838948 absolute error = 1.27897692436818e-13 relative error = 7.301292902158256e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.909999999999939 y[1] (analytic) = 17.54143012167867 y[1] (numeric) = 17.5414301216788 absolute error = 1.27897692436818e-13 relative error = 7.291178173594581e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.919999999999939 y[1] (analytic) = 17.56576457079994 y[1] (numeric) = 17.56576457080007 absolute error = 1.27897692436818e-13 relative error = 7.281077457307262e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.929999999999938 y[1] (analytic) = 17.59013277802475 y[1] (numeric) = 17.59013277802487 absolute error = 1.243449787580175e-13 relative error = 7.06901876905449e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.939999999999938 y[1] (analytic) = 17.61453479018419 y[1] (numeric) = 17.61453479018432 absolute error = 1.314504061156185e-13 relative error = 7.462610150162473e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.949999999999938 y[1] (analytic) = 17.63897065417437 y[1] (numeric) = 17.6389706541745 absolute error = 1.314504061156185e-13 relative error = 7.452271943346648e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.959999999999938 y[1] (analytic) = 17.66344041695644 y[1] (numeric) = 17.66344041695657 absolute error = 1.27897692436818e-13 relative error = 7.240814327091091e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.969999999999938 y[1] (analytic) = 17.68794412555668 y[1] (numeric) = 17.68794412555681 absolute error = 1.27897692436818e-13 relative error = 7.230783381547617e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.979999999999937 y[1] (analytic) = 17.71248182706662 y[1] (numeric) = 17.71248182706675 absolute error = 1.314504061156185e-13 relative error = 7.421343174774517e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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] = 4.989999999999937 y[1] (analytic) = 17.73705356864313 y[1] (numeric) = 17.73705356864326 absolute error = 1.35003119794419e-13 relative error = 7.611361113160729e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 = 1.068e+09 Order of pole (six term test) = -1.925e+14 TOP MAIN SOLVE Loop x[1] = 4.999999999999937 y[1] (analytic) = 17.76165939750847 y[1] (numeric) = 17.76165939750861 absolute error = 1.35003119794419e-13 relative error = 7.600816836593357e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 137.1 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 Finished! diff ( y , x , 1 ) = expt(2.0 , (0.2 * x + 0.3)); Iterations = 401 Total Elapsed Time = 0 Seconds Elapsed Time(since restart) = 0 Seconds Time to Timeout = 3 Minutes 0 Seconds Percent Done = 100.5 %