##############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=0.1; 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 = 1.233906891650465e-204 estimated_step_error = 1.233906891650465e-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 = 8.280608999301457e-197 estimated_step_error = 8.280608999301457e-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 = 5.557022660245085e-189 estimated_step_error = 5.557022660245085e-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 = 3.729254817808204e-181 estimated_step_error = 3.729254817808204e-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 = 2.502660595295234e-173 estimated_step_error = 2.502660595295234e-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 = 1.679507164264681e-165 estimated_step_error = 1.679507164264681e-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 = 7.563829703272082e-150 estimated_step_error = 7.563829703272082e-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 = 5.07600185675094e-142 estimated_step_error = 5.07600185675094e-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 = 3.406449421425509e-134 estimated_step_error = 3.406449421425509e-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 = 2.286032514246314e-126 estimated_step_error = 2.286032514246314e-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 = 1.534134483961679e-118 estimated_step_error = 1.534134483961679e-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 = 1.029545637434692e-110 estimated_step_error = 1.029545637434692e-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 = 6.909236469812325e-103 estimated_step_error = 6.909236469812325e-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 = 4.636807622636869e-95 estimated_step_error = 4.636807622636869e-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 = 3.111839814041088e-87 estimated_step_error = 3.111839814041088e-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 = 1.401801855884818e-71 estimated_step_error = 1.401801855884818e-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 = 0.1 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 129.8 Order of pole (ratio test) = 0 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 = 0.1 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 129.8 Order of pole (ratio test) = 0 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 = 0.1 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 129.8 Order of pole (ratio test) = 0 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) = 10.63460444360563 absolute error = 1.77635683940025e-15 relative error = 1.670355346849161e-14 % Correct digits = 16 h = 0.1 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 129.8 Order of pole (ratio test) = 0 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 = 0 relative error = 0 % Correct digits = 16 h = 0.1 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 129.8 Order of pole (ratio test) = 0 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 = 0 relative error = 0 % Correct digits = 16 h = 0.1 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 129.8 Order of pole (ratio test) = 0 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 = 0.1 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 129.8 Order of pole (ratio test) = 0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.700000000000001 y[1] (analytic) = 11.24096875112537 y[1] (numeric) = 11.24096875112537 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.1 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 129.8 Order of pole (ratio test) = 0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.800000000000001 y[1] (analytic) = 11.39788682722705 y[1] (numeric) = 11.39788682722705 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.1 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 129.8 Order of pole (ratio test) = 0 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 = 0 relative error = 0 % Correct digits = 16 h = 0.1 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 129.8 Order of pole (ratio test) = 0 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 = 0 relative error = 0 % Correct digits = 16 h = 0.1 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 129.8 Order of pole (ratio test) = 0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.100000000000001 y[1] (analytic) = 11.88190676332625 y[1] (numeric) = 11.88190676332625 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.1 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 129.8 Order of pole (ratio test) = 0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.200000000000001 y[1] (analytic) = 12.04777200065591 y[1] (numeric) = 12.04777200065591 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.1 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 129.8 Order of pole (ratio test) = 0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.300000000000001 y[1] (analytic) = 12.21595263041394 y[1] (numeric) = 12.21595263041394 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.1 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 129.8 Order of pole (ratio test) = 0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.400000000000001 y[1] (analytic) = 12.38648097427416 y[1] (numeric) = 12.38648097427416 absolute error = 1.77635683940025e-15 relative error = 1.434109367373685e-14 % Correct digits = 16 h = 0.1 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 129.8 Order of pole (ratio test) = 0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.500000000000001 y[1] (analytic) = 12.55938980510412 y[1] (numeric) = 12.55938980510412 absolute error = 1.77635683940025e-15 relative error = 1.41436555992421e-14 % Correct digits = 16 h = 0.1 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 129.8 Order of pole (ratio test) = 0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.600000000000001 y[1] (analytic) = 12.73471235326357 y[1] (numeric) = 12.73471235326357 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.1 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 129.8 Order of pole (ratio test) = 0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.700000000000002 y[1] (analytic) = 12.91248231299079 y[1] (numeric) = 12.91248231299079 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.1 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 129.8 Order of pole (ratio test) = 0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.800000000000002 y[1] (analytic) = 13.09273384887809 y[1] (numeric) = 13.09273384887809 absolute error = 1.77635683940025e-15 relative error = 1.356750133244681e-14 % Correct digits = 16 h = 0.1 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 129.8 Order of pole (ratio test) = 0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.900000000000002 y[1] (analytic) = 13.27550160243774 y[1] (numeric) = 13.27550160243774 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.1 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 129.8 Order of pole (ratio test) = 0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.000000000000002 y[1] (analytic) = 13.46082069875947 y[1] (numeric) = 13.46082069875947 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.1 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 129.8 Order of pole (ratio test) = 0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.100000000000002 y[1] (analytic) = 13.648726753261 y[1] (numeric) = 13.64872675326101 absolute error = 1.77635683940025e-15 relative error = 1.301481721711395e-14 % Correct digits = 16 h = 0.1 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 129.8 Order of pole (ratio test) = 0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.200000000000002 y[1] (analytic) = 13.83925587853278 y[1] (numeric) = 13.83925587853278 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.1 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 129.8 Order of pole (ratio test) = 0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.300000000000002 y[1] (analytic) = 14.0324446912782 y[1] (numeric) = 14.0324446912782 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.1 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 129.8 Order of pole (ratio test) = 0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.400000000000002 y[1] (analytic) = 14.2283303193508 y[1] (numeric) = 14.2283303193508 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.1 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 129.8 Order of pole (ratio test) = 0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.500000000000002 y[1] (analytic) = 14.42695040888964 y[1] (numeric) = 14.42695040888964 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.1 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 129.8 Order of pole (ratio test) = 0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.600000000000002 y[1] (analytic) = 14.62834313155429 y[1] (numeric) = 14.62834313155429 absolute error = 1.77635683940025e-15 relative error = 1.214325384238857e-14 % Correct digits = 16 h = 0.1 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 129.8 Order of pole (ratio test) = 0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.700000000000002 y[1] (analytic) = 14.83254719186083 y[1] (numeric) = 14.83254719186083 absolute error = 1.77635683940025e-15 relative error = 1.197607407832826e-14 % Correct digits = 16 h = 0.1 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 129.8 Order of pole (ratio test) = 0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.800000000000002 y[1] (analytic) = 15.03960183462027 y[1] (numeric) = 15.03960183462027 absolute error = 1.77635683940025e-15 relative error = 1.181119592748249e-14 % Correct digits = 16 h = 0.1 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 129.8 Order of pole (ratio test) = 0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.900000000000003 y[1] (analytic) = 15.24954685248073 y[1] (numeric) = 15.24954685248073 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.1 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 129.8 Order of pole (ratio test) = 0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.000000000000003 y[1] (analytic) = 15.46242259357504 y[1] (numeric) = 15.46242259357504 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.1 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 129.8 Order of pole (ratio test) = 0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.100000000000002 y[1] (analytic) = 15.67826996927494 y[1] (numeric) = 15.67826996927494 absolute error = 1.77635683940025e-15 relative error = 1.133005645955464e-14 % Correct digits = 16 h = 0.1 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 129.8 Order of pole (ratio test) = 0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.200000000000002 y[1] (analytic) = 15.89713046205365 y[1] (numeric) = 15.89713046205366 absolute error = 5.329070518200751e-15 relative error = 3.352221667250708e-14 % Correct digits = 16 h = 0.1 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 129.8 Order of pole (ratio test) = 0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.300000000000002 y[1] (analytic) = 16.11904613345815 y[1] (numeric) = 16.11904613345815 absolute error = 3.552713678800501e-15 relative error = 2.204047093969269e-14 % Correct digits = 16 h = 0.1 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 129.8 Order of pole (ratio test) = 0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.400000000000001 y[1] (analytic) = 16.34405963219271 y[1] (numeric) = 16.34405963219271 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.1 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 129.8 Order of pole (ratio test) = 0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.500000000000001 y[1] (analytic) = 16.57221420231533 y[1] (numeric) = 16.57221420231533 absolute error = 7.105427357601002e-15 relative error = 4.28755462055776e-14 % Correct digits = 16 h = 0.1 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 129.8 Order of pole (ratio test) = 0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.600000000000001 y[1] (analytic) = 16.80355369154858 y[1] (numeric) = 16.80355369154859 absolute error = 3.552713678800501e-15 relative error = 2.114263294547839e-14 % Correct digits = 16 h = 0.1 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 129.8 Order of pole (ratio test) = 0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.7 y[1] (analytic) = 17.03812255970642 y[1] (numeric) = 17.03812255970643 absolute error = 1.06581410364015e-14 relative error = 6.255466820978867e-14 % Correct digits = 16 h = 0.1 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 129.8 Order of pole (ratio test) = 0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.8 y[1] (analytic) = 17.27596588723868 y[1] (numeric) = 17.27596588723869 absolute error = 1.06581410364015e-14 relative error = 6.169345960722464e-14 % Correct digits = 16 h = 0.1 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 129.8 Order of pole (ratio test) = 0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.899999999999999 y[1] (analytic) = 17.51712938389483 y[1] (numeric) = 17.51712938389483 absolute error = 7.105427357601002e-15 relative error = 4.05627383453233e-14 % Correct digits = 16 h = 0.1 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 129.8 Order of pole (ratio test) = 0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.999999999999999 y[1] (analytic) = 17.76165939750863 y[1] (numeric) = 17.76165939750864 absolute error = 1.06581410364015e-14 relative error = 6.000644870994704e-14 % Correct digits = 16 h = 0.1 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 129.8 Order of pole (ratio test) = 0 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 = 41 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 3 Minutes 0.0 Seconds Percent Done = 105 %