##############ECHO OF PROBLEM################# ##############temp/arctan_sqrtpostode.ode################# diff ( y , x , 1 ) = arctan ( sqrt ( 0.1 * x + 0.2 ) ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=-1.0; x_end=0.5; 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; glob_max_h=0.0001; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_desired_digits_correct=10; glob_display_interval=0.01; glob_look_poles=true; glob_max_iter=1000000000; glob_max_minutes=30.0; glob_subiter_method=3; /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y (double x) { return(10.0 * (0.1 * x + 0.2) * arctan(sqrt ( 0.1 * x + 0.2)) - 10.0 * sqrt( 0.1 * x + 0.2) + 10.0 * arctan(sqrt( 0.1 * x + 0.2))); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Optimize min_size = 0 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 1e-06 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 1.5 estimated_steps = 1500000 step_error = 6.666666666666667e-17 est_needed_step_err = 6.666666666666667e-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 = 2.79282276318986e-161 estimated_step_error = 2.79282276318986e-161 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 = 1.874230779639758e-153 estimated_step_error = 1.874230779639758e-153 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 = 1.257773843742575e-145 estimated_step_error = 1.257773843742575e-145 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 = 8.440762065201301e-138 estimated_step_error = 8.440762065201301e-138 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 = 5.664478976820087e-130 estimated_step_error = 5.664478976820087e-130 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 = 3.801339900577152e-122 estimated_step_error = 3.801339900577152e-122 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 = 2.550998991126539e-114 estimated_step_error = 2.550998991126539e-114 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 = 1.711896741012378e-106 estimated_step_error = 1.711896741012378e-106 best_h = 0.0001 START of Soultion TOP MAIN SOLVE Loop x[1] = -1 y[1] (analytic) = 0.2067734006979847 y[1] (numeric) = 0.2067734006979847 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.9999 Order of pole (three term test) = 1.505 Radius of convergence (six term test) for eq 1 = 4.001 Order of pole (six term test) = -0.6 TOP MAIN SOLVE Loop x[1] = -0.9899000000000011 y[1] (analytic) = 0.2098741190478988 y[1] (numeric) = 0.2098741190481188 absolute error = 2.199906923294748e-13 relative error = 1.048203052989431e-10 % Correct digits = 12 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.01 Order of pole (three term test) = 1.505 Radius of convergence (six term test) for eq 1 = 4.022 Order of pole (six term test) = -0.6 TOP MAIN SOLVE Loop x[1] = -0.9799000000000022 y[1] (analytic) = 0.2129584978686632 y[1] (numeric) = 0.2129584978690984 absolute error = 4.35235181228677e-13 relative error = 2.043755875368249e-10 % Correct digits = 12 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.02 Order of pole (three term test) = 1.505 Radius of convergence (six term test) for eq 1 = 4.043 Order of pole (six term test) = -0.6 TOP MAIN SOLVE Loop x[1] = -0.9699000000000033 y[1] (analytic) = 0.2160570825021533 y[1] (numeric) = 0.2160570825028033 absolute error = 6.499800697667979e-13 relative error = 3.008371964665033e-10 % Correct digits = 12 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.03 Order of pole (three term test) = 1.505 Radius of convergence (six term test) for eq 1 = 4.064 Order of pole (six term test) = -0.6 TOP MAIN SOLVE Loop x[1] = -0.9599000000000044 y[1] (analytic) = 0.2191697910084245 y[1] (numeric) = 0.2191697910092875 absolute error = 8.630596237679811e-13 relative error = 3.937858496816318e-10 % Correct digits = 12 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.04 Order of pole (three term test) = 1.505 Radius of convergence (six term test) for eq 1 = 4.085 Order of pole (six term test) = -0.6001 TOP MAIN SOLVE Loop x[1] = -0.9499000000000055 y[1] (analytic) = 0.2222965425934906 y[1] (numeric) = 0.2222965425945653 absolute error = 1.074668132261536e-12 relative error = 4.834389773784115e-10 % Correct digits = 12 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.05 Order of pole (three term test) = 1.506 Radius of convergence (six term test) for eq 1 = 4.105 Order of pole (six term test) = -0.6001 TOP MAIN SOLVE Loop x[1] = -0.9399000000000066 y[1] (analytic) = 0.2254372575824299 y[1] (numeric) = 0.2254372575837144 absolute error = 1.284444772764459e-12 relative error = 5.697570962931045e-10 % Correct digits = 12 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.06 Order of pole (three term test) = 1.506 Radius of convergence (six term test) for eq 1 = 4.126 Order of pole (six term test) = -0.6001 TOP MAIN SOLVE Loop x[1] = -0.9299000000000077 y[1] (analytic) = 0.2285918573933694 y[1] (numeric) = 0.2285918573948635 absolute error = 1.494082635389304e-12 relative error = 6.536027365219013e-10 % Correct digits = 12 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.07 Order of pole (three term test) = 1.506 Radius of convergence (six term test) for eq 1 = 4.146 Order of pole (six term test) = -0.6001 TOP MAIN SOLVE Loop x[1] = -0.9199000000000088 y[1] (analytic) = 0.2317602645123258 y[1] (numeric) = 0.2317602645140272 absolute error = 1.701444540813668e-12 relative error = 7.341398856244313e-10 % Correct digits = 12 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.08 Order of pole (three term test) = 1.506 Radius of convergence (six term test) for eq 1 = 4.167 Order of pole (six term test) = -0.6001 TOP MAIN SOLVE Loop x[1] = -0.9099000000000099 y[1] (analytic) = 0.2349424024688442 y[1] (numeric) = 0.2349424024707516 absolute error = 1.907390911881635e-12 relative error = 8.118546894209844e-10 % Correct digits = 12 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.09 Order of pole (three term test) = 1.506 Radius of convergence (six term test) for eq 1 = 4.187 Order of pole (six term test) = -0.6001 TOP MAIN SOLVE Loop x[1] = -0.899900000000011 y[1] (analytic) = 0.2381381958124251 y[1] (numeric) = 0.2381381958145374 absolute error = 2.112254815500592e-12 relative error = 8.869869901779034e-10 % Correct digits = 12 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.1 Order of pole (three term test) = 1.506 Radius of convergence (six term test) for eq 1 = 4.208 Order of pole (six term test) = -0.6001 TOP MAIN SOLVE Loop x[1] = -0.8899000000000121 y[1] (analytic) = 0.2413475700896939 y[1] (numeric) = 0.2413475700920101 absolute error = 2.316230540699848e-12 relative error = 9.59707421060444e-10 % Correct digits = 12 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.11 Order of pole (three term test) = 1.506 Radius of convergence (six term test) for eq 1 = 4.228 Order of pole (six term test) = -0.6001 TOP MAIN SOLVE Loop x[1] = -0.8799000000000132 y[1] (analytic) = 0.2445704518222884 y[1] (numeric) = 0.2445704518248062 absolute error = 2.517791530820546e-12 relative error = 1.029474947631876e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.12 Order of pole (three term test) = 1.506 Radius of convergence (six term test) for eq 1 = 4.248 Order of pole (six term test) = -0.6002 TOP MAIN SOLVE Loop x[1] = -0.8699000000000143 y[1] (analytic) = 0.2478067684854262 y[1] (numeric) = 0.2478067684881458 absolute error = 2.719657832273015e-12 relative error = 1.097491343313716e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.13 Order of pole (three term test) = 1.506 Radius of convergence (six term test) for eq 1 = 4.268 Order of pole (six term test) = -0.6002 TOP MAIN SOLVE Loop x[1] = -0.8599000000000154 y[1] (analytic) = 0.2510564484871467 y[1] (numeric) = 0.251056448490066 absolute error = 2.919331443251849e-12 relative error = 1.1628187448853e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.14 Order of pole (three term test) = 1.506 Radius of convergence (six term test) for eq 1 = 4.288 Order of pole (six term test) = -0.6002 TOP MAIN SOLVE Loop x[1] = -0.8499000000000165 y[1] (analytic) = 0.2543194211481699 y[1] (numeric) = 0.2543194211512878 absolute error = 3.117894831206058e-12 relative error = 1.225975907435528e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.15 Order of pole (three term test) = 1.506 Radius of convergence (six term test) for eq 1 = 4.308 Order of pole (six term test) = -0.6002 TOP MAIN SOLVE Loop x[1] = -0.8399000000000176 y[1] (analytic) = 0.257595616682377 y[1] (numeric) = 0.2575956166856922 absolute error = 3.31523697383318e-12 relative error = 1.28699277438442e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.16 Order of pole (three term test) = 1.506 Radius of convergence (six term test) for eq 1 = 4.328 Order of pole (six term test) = -0.6002 TOP MAIN SOLVE Loop x[1] = -0.8299000000000187 y[1] (analytic) = 0.2608849661778714 y[1] (numeric) = 0.2608849661813823 absolute error = 3.510913781923364e-12 relative error = 1.345770832777548e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.17 Order of pole (three term test) = 1.506 Radius of convergence (six term test) for eq 1 = 4.348 Order of pole (six term test) = -0.6002 TOP MAIN SOLVE Loop x[1] = -0.8199000000000198 y[1] (analytic) = 0.264187401578603 y[1] (numeric) = 0.2641874015823092 absolute error = 3.706202011954929e-12 relative error = 1.40286856595326e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.18 Order of pole (three term test) = 1.506 Radius of convergence (six term test) for eq 1 = 4.368 Order of pole (six term test) = -0.6002 TOP MAIN SOLVE Loop x[1] = -0.8099000000000209 y[1] (analytic) = 0.2675028556665362 y[1] (numeric) = 0.2675028556704361 absolute error = 3.899935929752019e-12 relative error = 1.457904410042486e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.19 Order of pole (three term test) = 1.506 Radius of convergence (six term test) for eq 1 = 4.387 Order of pole (six term test) = -0.6002 TOP MAIN SOLVE Loop x[1] = -0.799900000000022 y[1] (analytic) = 0.2708312620443363 y[1] (numeric) = 0.270831262048429 absolute error = 4.092726157978177e-12 relative error = 1.511171984757129e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.2 Order of pole (three term test) = 1.506 Radius of convergence (six term test) for eq 1 = 4.407 Order of pole (six term test) = -0.6002 TOP MAIN SOLVE Loop x[1] = -0.7899000000000231 y[1] (analytic) = 0.2741725551185601 y[1] (numeric) = 0.2741725551228448 absolute error = 4.284739230087098e-12 relative error = 1.56278925446577e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.21 Order of pole (three term test) = 1.506 Radius of convergence (six term test) for eq 1 = 4.427 Order of pole (six term test) = -0.6002 TOP MAIN SOLVE Loop x[1] = -0.7799000000000242 y[1] (analytic) = 0.2775266700833292 y[1] (numeric) = 0.277526670087804 absolute error = 4.474809411902925e-12 relative error = 1.612388968079837e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.22 Order of pole (three term test) = 1.506 Radius of convergence (six term test) for eq 1 = 4.446 Order of pole (six term test) = -0.6002 TOP MAIN SOLVE Loop x[1] = -0.7699000000000253 y[1] (analytic) = 0.2808935429044657 y[1] (numeric) = 0.2808935429091298 absolute error = 4.664157948752745e-12 relative error = 1.660471757565131e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.23 Order of pole (three term test) = 1.506 Radius of convergence (six term test) for eq 1 = 4.466 Order of pole (six term test) = -0.6002 TOP MAIN SOLVE Loop x[1] = -0.7599000000000264 y[1] (analytic) = 0.2842731103040825 y[1] (numeric) = 0.2842731103089353 absolute error = 4.852729329485328e-12 relative error = 1.707065900216323e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.24 Order of pole (three term test) = 1.507 Radius of convergence (six term test) for eq 1 = 4.485 Order of pole (six term test) = -0.6002 TOP MAIN SOLVE Loop x[1] = -0.7499000000000275 y[1] (analytic) = 0.287665309745599 y[1] (numeric) = 0.2876653097506393 absolute error = 5.040301509495748e-12 relative error = 1.752140886905415e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.25 Order of pole (three term test) = 1.507 Radius of convergence (six term test) for eq 1 = 4.505 Order of pole (six term test) = -0.6002 TOP MAIN SOLVE Loop x[1] = -0.7399000000000286 y[1] (analytic) = 0.2910700794191783 y[1] (numeric) = 0.2910700794244042 absolute error = 5.225930799213074e-12 relative error = 1.795420130314069e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.26 Order of pole (three term test) = 1.507 Radius of convergence (six term test) for eq 1 = 4.524 Order of pole (six term test) = -0.6002 TOP MAIN SOLVE Loop x[1] = -0.7299000000000297 y[1] (analytic) = 0.2944873582275624 y[1] (numeric) = 0.294487358232973 absolute error = 5.410505377057007e-12 relative error = 1.837262356394969e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.27 Order of pole (three term test) = 1.507 Radius of convergence (six term test) for eq 1 = 4.543 Order of pole (six term test) = -0.6002 TOP MAIN SOLVE Loop x[1] = -0.7199000000000308 y[1] (analytic) = 0.2979170857722973 y[1] (numeric) = 0.2979170857778919 absolute error = 5.59469137684232e-12 relative error = 1.87793572239708e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.28 Order of pole (three term test) = 1.507 Radius of convergence (six term test) for eq 1 = 4.563 Order of pole (six term test) = -0.6002 TOP MAIN SOLVE Loop x[1] = -0.7099000000000319 y[1] (analytic) = 0.3013592023403344 y[1] (numeric) = 0.3013592023461119 absolute error = 5.777489597846852e-12 relative error = 1.917143910980409e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.29 Order of pole (three term test) = 1.507 Radius of convergence (six term test) for eq 1 = 4.582 Order of pole (six term test) = -0.6002 TOP MAIN SOLVE Loop x[1] = -0.6999000000000331 y[1] (analytic) = 0.3048136488909861 y[1] (numeric) = 0.3048136488969458 absolute error = 5.959788218490303e-12 relative error = 1.955223540735136e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.3 Order of pole (three term test) = 1.507 Radius of convergence (six term test) for eq 1 = 4.601 Order of pole (six term test) = -0.6002 TOP MAIN SOLVE Loop x[1] = -0.6899000000000342 y[1] (analytic) = 0.3082803670432375 y[1] (numeric) = 0.3082803670493777 absolute error = 6.140254971143122e-12 relative error = 1.99177619711408e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.31 Order of pole (three term test) = 1.507 Radius of convergence (six term test) for eq 1 = 4.62 Order of pole (six term test) = -0.6002 TOP MAIN SOLVE Loop x[1] = -0.6799000000000353 y[1] (analytic) = 0.3117592990633868 y[1] (numeric) = 0.3117592990697071 absolute error = 6.320277634586091e-12 relative error = 2.027294022527634e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.32 Order of pole (three term test) = 1.507 Radius of convergence (six term test) for eq 1 = 4.639 Order of pole (six term test) = -0.6002 TOP MAIN SOLVE Loop x[1] = -0.6699000000000364 y[1] (analytic) = 0.3152503878530211 y[1] (numeric) = 0.3152503878595202 absolute error = 6.499134563853204e-12 relative error = 2.061578609978837e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.33 Order of pole (three term test) = 1.507 Radius of convergence (six term test) for eq 1 = 4.658 Order of pole (six term test) = -0.6002 TOP MAIN SOLVE Loop x[1] = -0.6599000000000375 y[1] (analytic) = 0.3187535769372949 y[1] (numeric) = 0.3187535769439724 absolute error = 6.677547403910467e-12 relative error = 2.094893324200742e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.34 Order of pole (three term test) = 1.507 Radius of convergence (six term test) for eq 1 = 4.677 Order of pole (six term test) = -0.6002 TOP MAIN SOLVE Loop x[1] = -0.6499000000000386 y[1] (analytic) = 0.3222688104535214 y[1] (numeric) = 0.3222688104603764 absolute error = 6.854961043245567e-12 relative error = 2.127094158941022e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.35 Order of pole (three term test) = 1.507 Radius of convergence (six term test) for eq 1 = 4.696 Order of pole (six term test) = -0.6002 TOP MAIN SOLVE Loop x[1] = -0.6399000000000397 y[1] (analytic) = 0.325796033140052 y[1] (numeric) = 0.3257960331470832 absolute error = 7.03120894840481e-12 relative error = 2.158162848281907e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.36 Order of pole (three term test) = 1.507 Radius of convergence (six term test) for eq 1 = 4.715 Order of pole (six term test) = -0.6002 TOP MAIN SOLVE Loop x[1] = -0.6299000000000408 y[1] (analytic) = 0.3293351903254433 y[1] (numeric) = 0.3293351903326491 absolute error = 7.205791519027116e-12 relative error = 2.18798103898538e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.37 Order of pole (three term test) = 1.507 Radius of convergence (six term test) for eq 1 = 4.734 Order of pole (six term test) = -0.6002 TOP MAIN SOLVE Loop x[1] = -0.6199000000000419 y[1] (analytic) = 0.3328862279178928 y[1] (numeric) = 0.3328862279252732 absolute error = 7.380374089649422e-12 relative error = 2.217086040420335e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.38 Order of pole (three term test) = 1.507 Radius of convergence (six term test) for eq 1 = 4.753 Order of pole (six term test) = -0.6002 TOP MAIN SOLVE Loop x[1] = -0.609900000000043 y[1] (analytic) = 0.3364490923949504 y[1] (numeric) = 0.3364490924025034 absolute error = 7.553013769978634e-12 relative error = 2.244920239259351e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.39 Order of pole (three term test) = 1.507 Radius of convergence (six term test) for eq 1 = 4.771 Order of pole (six term test) = -0.6002 TOP MAIN SOLVE Loop x[1] = -0.5999000000000441 y[1] (analytic) = 0.3400237307934741 y[1] (numeric) = 0.3400237308011996 absolute error = 7.725486916854152e-12 relative error = 2.272043453798379e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.4 Order of pole (three term test) = 1.507 Radius of convergence (six term test) for eq 1 = 4.79 Order of pole (six term test) = -0.6002 TOP MAIN SOLVE Loop x[1] = -0.5899000000000452 y[1] (analytic) = 0.3436100906998476 y[1] (numeric) = 0.3436100907077454 absolute error = 7.897793530275976e-12 relative error = 2.298475435977491e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.41 Order of pole (three term test) = 1.507 Radius of convergence (six term test) for eq 1 = 4.809 Order of pole (six term test) = -0.6002 TOP MAIN SOLVE Loop x[1] = -0.5799000000000463 y[1] (analytic) = 0.3472081202404302 y[1] (numeric) = 0.3472081202484982 absolute error = 8.067935208799781e-12 relative error = 2.323659712570374e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.42 Order of pole (three term test) = 1.508 Radius of convergence (six term test) for eq 1 = 4.827 Order of pole (six term test) = -0.6002 TOP MAIN SOLVE Loop x[1] = -0.5699000000000474 y[1] (analytic) = 0.3508177680722402 y[1] (numeric) = 0.3508177680804772 absolute error = 8.236966664298961e-12 relative error = 2.347933147617201e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.43 Order of pole (three term test) = 1.508 Radius of convergence (six term test) for eq 1 = 4.846 Order of pole (six term test) = -0.6001 TOP MAIN SOLVE Loop x[1] = -0.5599000000000485 y[1] (analytic) = 0.354438983373869 y[1] (numeric) = 0.3544389833822744 absolute error = 8.405387497134598e-12 relative error = 2.371462477723122e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.44 Order of pole (three term test) = 1.508 Radius of convergence (six term test) for eq 1 = 4.865 Order of pole (six term test) = -0.6001 TOP MAIN SOLVE Loop x[1] = -0.5499000000000496 y[1] (analytic) = 0.3580717158366116 y[1] (numeric) = 0.3580717158451848 absolute error = 8.573253218457921e-12 relative error = 2.394283837366787e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.45 Order of pole (three term test) = 1.508 Radius of convergence (six term test) for eq 1 = 4.883 Order of pole (six term test) = -0.6001 TOP MAIN SOLVE Loop x[1] = -0.5399000000000507 y[1] (analytic) = 0.3617159156558087 y[1] (numeric) = 0.3617159156645492 absolute error = 8.74045280596647e-12 relative error = 2.41638601666714e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.46 Order of pole (three term test) = 1.508 Radius of convergence (six term test) for eq 1 = 4.902 Order of pole (six term test) = -0.6001 TOP MAIN SOLVE Loop x[1] = -0.5299000000000518 y[1] (analytic) = 0.365371533522397 y[1] (numeric) = 0.3653715335313032 absolute error = 8.906209103543006e-12 relative error = 2.437576079800716e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.47 Order of pole (three term test) = 1.508 Radius of convergence (six term test) for eq 1 = 4.92 Order of pole (six term test) = -0.6001 TOP MAIN SOLVE Loop x[1] = -0.5199000000000529 y[1] (analytic) = 0.3690385206146543 y[1] (numeric) = 0.3690385206237253 absolute error = 9.071077222699842e-12 relative error = 2.458029911780336e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.48 Order of pole (three term test) = 1.508 Radius of convergence (six term test) for eq 1 = 4.939 Order of pole (six term test) = -0.6 TOP MAIN SOLVE Loop x[1] = -0.509900000000054 y[1] (analytic) = 0.372716828590141 y[1] (numeric) = 0.3727168285993768 absolute error = 9.235834319554215e-12 relative error = 2.477976203674566e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.49 Order of pole (three term test) = 1.508 Radius of convergence (six term test) for eq 1 = 4.957 Order of pole (six term test) = -0.6 TOP MAIN SOLVE Loop x[1] = -0.4999000000000551 y[1] (analytic) = 0.3764064095778341 y[1] (numeric) = 0.3764064095872336 absolute error = 9.399536704535194e-12 relative error = 2.497177642399189e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.5 Order of pole (three term test) = 1.508 Radius of convergence (six term test) for eq 1 = 4.976 Order of pole (six term test) = -0.6 TOP MAIN SOLVE Loop x[1] = -0.4899000000000562 y[1] (analytic) = 0.3801072161704315 y[1] (numeric) = 0.380107216179994 absolute error = 9.562517444550167e-12 relative error = 2.515742147937162e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.51 Order of pole (three term test) = 1.508 Radius of convergence (six term test) for eq 1 = 4.994 Order of pole (six term test) = -0.6 TOP MAIN SOLVE Loop x[1] = -0.4799000000000573 y[1] (analytic) = 0.3838192014168427 y[1] (numeric) = 0.3838192014265669 absolute error = 9.724276939238052e-12 relative error = 2.5335566598392e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.52 Order of pole (three term test) = 1.508 Radius of convergence (six term test) for eq 1 = 5.013 Order of pole (six term test) = -0.6 TOP MAIN SOLVE Loop x[1] = -0.4699000000000584 y[1] (analytic) = 0.3875423188148464 y[1] (numeric) = 0.3875423188247319 absolute error = 9.885592344716088e-12 relative error = 2.550842028026122e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.53 Order of pole (three term test) = 1.508 Radius of convergence (six term test) for eq 1 = 5.031 Order of pole (six term test) = -0.5999 TOP MAIN SOLVE Loop x[1] = -0.4599000000000595 y[1] (analytic) = 0.3912765223039179 y[1] (numeric) = 0.3912765223139634 absolute error = 1.004557548256457e-11 relative error = 2.56738518922989e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.54 Order of pole (three term test) = 1.508 Radius of convergence (six term test) for eq 1 = 5.049 Order of pole (six term test) = -0.5999 TOP MAIN SOLVE Loop x[1] = -0.4499000000000606 y[1] (analytic) = 0.3950217662582123 y[1] (numeric) = 0.3950217662684178 absolute error = 1.020550310926183e-11 relative error = 2.583529309266173e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.55 Order of pole (three term test) = 1.508 Radius of convergence (six term test) for eq 1 = 5.068 Order of pole (six term test) = -0.5999 TOP MAIN SOLVE Loop x[1] = -0.4399000000000617 y[1] (analytic) = 0.3987780054797114 y[1] (numeric) = 0.3987780054900755 absolute error = 1.036409846832953e-11 relative error = 2.598964417774747e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.56 Order of pole (three term test) = 1.508 Radius of convergence (six term test) for eq 1 = 5.086 Order of pole (six term test) = -0.5998 TOP MAIN SOLVE Loop x[1] = -0.4299000000000628 y[1] (analytic) = 0.4025451951915162 y[1] (numeric) = 0.4025451952020376 absolute error = 1.052141707091891e-11 relative error = 2.613723178564636e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.57 Order of pole (three term test) = 1.508 Radius of convergence (six term test) for eq 1 = 5.104 Order of pole (six term test) = -0.5998 TOP MAIN SOLVE Loop x[1] = -0.4199000000000639 y[1] (analytic) = 0.4063232910312911 y[1] (numeric) = 0.4063232910419703 absolute error = 1.067923527386938e-11 relative error = 2.628260675572981e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.58 Order of pole (three term test) = 1.508 Radius of convergence (six term test) for eq 1 = 5.122 Order of pole (six term test) = -0.5998 TOP MAIN SOLVE Loop x[1] = -0.409900000000065 y[1] (analytic) = 0.4101122490448552 y[1] (numeric) = 0.4101122490556909 absolute error = 1.08357212091903e-11 relative error = 2.642135472526489e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.59 Order of pole (three term test) = 1.508 Radius of convergence (six term test) for eq 1 = 5.141 Order of pole (six term test) = -0.5997 TOP MAIN SOLVE Loop x[1] = -0.3999000000000661 y[1] (analytic) = 0.4139120256799043 y[1] (numeric) = 0.4139120256908962 absolute error = 1.099198509990629e-11 relative error = 2.655633182401629e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.6 Order of pole (three term test) = 1.508 Radius of convergence (six term test) for eq 1 = 5.159 Order of pole (six term test) = -0.5997 TOP MAIN SOLVE Loop x[1] = -0.3899000000000672 y[1] (analytic) = 0.4177225777798794 y[1] (numeric) = 0.4177225777910247 absolute error = 1.114525138845579e-11 relative error = 2.668098872627571e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.61 Order of pole (three term test) = 1.509 Radius of convergence (six term test) for eq 1 = 5.177 Order of pole (six term test) = -0.5996 TOP MAIN SOLVE Loop x[1] = -0.3799000000000683 y[1] (analytic) = 0.4215438625779515 y[1] (numeric) = 0.4215438625892522 absolute error = 1.130068261190331e-11 relative error = 2.680784519739888e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.62 Order of pole (three term test) = 1.509 Radius of convergence (six term test) for eq 1 = 5.195 Order of pole (six term test) = -0.5996 TOP MAIN SOLVE Loop x[1] = -0.3699000000000694 y[1] (analytic) = 0.4253758376911616 y[1] (numeric) = 0.4253758377026151 absolute error = 1.145350481124296e-11 relative error = 2.692561212082438e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.63 Order of pole (three term test) = 1.509 Radius of convergence (six term test) for eq 1 = 5.214 Order of pole (six term test) = -0.5996 TOP MAIN SOLVE Loop x[1] = -0.3599000000000705 y[1] (analytic) = 0.4292184611146532 y[1] (numeric) = 0.4292184611262591 absolute error = 1.160588292137277e-11 relative error = 2.703957069142139e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.64 Order of pole (three term test) = 1.509 Radius of convergence (six term test) for eq 1 = 5.232 Order of pole (six term test) = -0.5995 TOP MAIN SOLVE Loop x[1] = -0.3499000000000716 y[1] (analytic) = 0.4330716912160493 y[1] (numeric) = 0.4330716912278076 absolute error = 1.175837205380503e-11 relative error = 2.715109828764831e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.65 Order of pole (three term test) = 1.509 Radius of convergence (six term test) for eq 1 = 5.25 Order of pole (six term test) = -0.5995 TOP MAIN SOLVE Loop x[1] = -0.3399000000000727 y[1] (analytic) = 0.4369354867299418 y[1] (numeric) = 0.4369354867418511 absolute error = 1.190936238515405e-11 relative error = 2.72565693262514e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.66 Order of pole (three term test) = 1.509 Radius of convergence (six term test) for eq 1 = 5.268 Order of pole (six term test) = -0.5994 TOP MAIN SOLVE Loop x[1] = -0.3299000000000738 y[1] (analytic) = 0.4408098067524886 y[1] (numeric) = 0.440809806764549 absolute error = 1.206035271650308e-11 relative error = 2.735953813131674e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.67 Order of pole (three term test) = 1.509 Radius of convergence (six term test) for eq 1 = 5.286 Order of pole (six term test) = -0.5994 TOP MAIN SOLVE Loop x[1] = -0.3199000000000749 y[1] (analytic) = 0.4446946107361356 y[1] (numeric) = 0.4446946107483457 absolute error = 1.221006629137378e-11 relative error = 2.745719421056522e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.68 Order of pole (three term test) = 1.509 Radius of convergence (six term test) for eq 1 = 5.304 Order of pole (six term test) = -0.5993 TOP MAIN SOLVE Loop x[1] = -0.309900000000076 y[1] (analytic) = 0.4485898584844334 y[1] (numeric) = 0.4485898584967926 absolute error = 1.235911373242971e-11 relative error = 2.755103241563491e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.69 Order of pole (three term test) = 1.509 Radius of convergence (six term test) for eq 1 = 5.323 Order of pole (six term test) = -0.5993 TOP MAIN SOLVE Loop x[1] = -0.2999000000000771 y[1] (analytic) = 0.4524955101469712 y[1] (numeric) = 0.4524955101594786 absolute error = 1.250743952851963e-11 relative error = 2.764102460255836e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.7 Order of pole (three term test) = 1.509 Radius of convergence (six term test) for eq 1 = 5.341 Order of pole (six term test) = -0.5992 TOP MAIN SOLVE Loop x[1] = -0.2899000000000782 y[1] (analytic) = 0.4564115262144091 y[1] (numeric) = 0.4564115262270635 absolute error = 1.265443305698e-11 relative error = 2.77259278746508e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.71 Order of pole (three term test) = 1.509 Radius of convergence (six term test) for eq 1 = 5.359 Order of pole (six term test) = -0.5991 TOP MAIN SOLVE Loop x[1] = -0.2799000000000793 y[1] (analytic) = 0.4603378675136085 y[1] (numeric) = 0.4603378675264102 absolute error = 1.280170414119652e-11 relative error = 2.780936578244474e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.72 Order of pole (three term test) = 1.509 Radius of convergence (six term test) for eq 1 = 5.377 Order of pole (six term test) = -0.5991 TOP MAIN SOLVE Loop x[1] = -0.2699000000000804 y[1] (analytic) = 0.464274495202869 y[1] (numeric) = 0.4642744952158174 absolute error = 1.294836460274951e-11 relative error = 2.788945922409888e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.73 Order of pole (three term test) = 1.509 Radius of convergence (six term test) for eq 1 = 5.395 Order of pole (six term test) = -0.599 TOP MAIN SOLVE Loop x[1] = -0.2599000000000815 y[1] (analytic) = 0.4682213707672509 y[1] (numeric) = 0.4682213707803444 absolute error = 1.309347075206801e-11 relative error = 2.796427410097151e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.74 Order of pole (three term test) = 1.509 Radius of convergence (six term test) for eq 1 = 5.413 Order of pole (six term test) = -0.599 TOP MAIN SOLVE Loop x[1] = -0.2499000000000826 y[1] (analytic) = 0.4721784560139932 y[1] (numeric) = 0.4721784560272326 absolute error = 1.323940956865499e-11 relative error = 2.803899542647205e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.75 Order of pole (three term test) = 1.509 Radius of convergence (six term test) for eq 1 = 5.431 Order of pole (six term test) = -0.5989 TOP MAIN SOLVE Loop x[1] = -0.2399000000000837 y[1] (analytic) = 0.4761457130680329 y[1] (numeric) = 0.4761457130814153 absolute error = 1.338240629422671e-11 relative error = 2.81056952250972e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.76 Order of pole (three term test) = 1.509 Radius of convergence (six term test) for eq 1 = 5.449 Order of pole (six term test) = -0.5988 TOP MAIN SOLVE Loop x[1] = -0.2299000000000848 y[1] (analytic) = 0.4801231043675873 y[1] (numeric) = 0.4801231043811149 absolute error = 1.352756795469645e-11 relative error = 2.817520721589687e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.77 Order of pole (three term test) = 1.509 Radius of convergence (six term test) for eq 1 = 5.467 Order of pole (six term test) = -0.5987 TOP MAIN SOLVE Loop x[1] = -0.2199000000000859 y[1] (analytic) = 0.4841105926598588 y[1] (numeric) = 0.4841105926735281 absolute error = 1.366928792378985e-11 relative error = 2.823587860097504e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.78 Order of pole (three term test) = 1.509 Radius of convergence (six term test) for eq 1 = 5.486 Order of pole (six term test) = -0.5987 TOP MAIN SOLVE Loop x[1] = -0.209900000000087 y[1] (analytic) = 0.4881081409967827 y[1] (numeric) = 0.4881081410105947 absolute error = 1.381206260475665e-11 relative error = 2.829713632014117e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.79 Order of pole (three term test) = 1.51 Radius of convergence (six term test) for eq 1 = 5.504 Order of pole (six term test) = -0.5986 TOP MAIN SOLVE Loop x[1] = -0.1999000000000881 y[1] (analytic) = 0.4921157127308931 y[1] (numeric) = 0.4921157127448466 absolute error = 1.395350501809389e-11 relative error = 2.835411399620191e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.8 Order of pole (three term test) = 1.51 Radius of convergence (six term test) for eq 1 = 5.522 Order of pole (six term test) = -0.5985 TOP MAIN SOLVE Loop x[1] = -0.1899000000000892 y[1] (analytic) = 0.4961332715112441 y[1] (numeric) = 0.496133271525338 absolute error = 1.409389271955774e-11 relative error = 2.840747341259157e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.81 Order of pole (three term test) = 1.51 Radius of convergence (six term test) for eq 1 = 5.54 Order of pole (six term test) = -0.5984 TOP MAIN SOLVE Loop x[1] = -0.1799000000000903 y[1] (analytic) = 0.5001607812794182 y[1] (numeric) = 0.5001607812936529 absolute error = 1.423472451023144e-11 relative error = 2.84602972544525e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.82 Order of pole (three term test) = 1.51 Radius of convergence (six term test) for eq 1 = 5.558 Order of pole (six term test) = -0.5984 TOP MAIN SOLVE Loop x[1] = -0.1699000000000914 y[1] (analytic) = 0.5041982062656136 y[1] (numeric) = 0.5041982062799881 absolute error = 1.437450158903175e-11 relative error = 2.850962460873811e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.83 Order of pole (three term test) = 1.51 Radius of convergence (six term test) for eq 1 = 5.576 Order of pole (six term test) = -0.5983 TOP MAIN SOLVE Loop x[1] = -0.1599000000000925 y[1] (analytic) = 0.5082455109847963 y[1] (numeric) = 0.508245510999311 absolute error = 1.451472275704191e-11 relative error = 2.855848687953508e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.84 Order of pole (three term test) = 1.51 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1499000000000936 y[1] (analytic) = 0.512302660232935 y[1] (numeric) = 0.5123026602475887 absolute error = 1.465372267972498e-11 relative error = 2.860364354356893e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.85 Order of pole (three term test) = 1.51 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1399000000000947 y[1] (analytic) = 0.5163696190832932 y[1] (numeric) = 0.5163696190980867 absolute error = 1.479349975852529e-11 relative error = 2.864905140001859e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.86 Order of pole (three term test) = 1.51 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1299000000000958 y[1] (analytic) = 0.5204463528828098 y[1] (numeric) = 0.5204463528977398 absolute error = 1.492994616825172e-11 relative error = 2.868681101434009e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.87 Order of pole (three term test) = 1.51 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1199000000000962 y[1] (analytic) = 0.5245328272485206 y[1] (numeric) = 0.5245328272635876 absolute error = 1.506705871179292e-11 relative error = 2.872472022547836e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.88 Order of pole (three term test) = 1.51 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1099000000000959 y[1] (analytic) = 0.5286290080640721 y[1] (numeric) = 0.5286290080792734 absolute error = 1.520128467547011e-11 relative error = 2.875605470675882e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.89 Order of pole (three term test) = 1.51 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.09990000000009565 y[1] (analytic) = 0.5327348614762757 y[1] (numeric) = 0.5327348614916126 absolute error = 1.53369539290793e-11 relative error = 2.878909385914535e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.9 Order of pole (three term test) = 1.51 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.08990000000009536 y[1] (analytic) = 0.5368503538917464 y[1] (numeric) = 0.5368503539072178 absolute error = 1.547140193736141e-11 relative error = 2.881883531454493e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.91 Order of pole (three term test) = 1.51 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.07990000000009508 y[1] (analytic) = 0.5409754519735825 y[1] (numeric) = 0.5409754519891882 absolute error = 1.560562790103859e-11 relative error = 2.884720155804899e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.92 Order of pole (three term test) = 1.51 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.06990000000009479 y[1] (analytic) = 0.5451101226381194 y[1] (numeric) = 0.5451101226538583 absolute error = 1.573885466399361e-11 relative error = 2.887279837663575e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.93 Order of pole (three term test) = 1.51 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.0599000000000945 y[1] (analytic) = 0.5492543330517328 y[1] (numeric) = 0.5492543330676043 absolute error = 1.587152631543631e-11 relative error = 2.889649723335258e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.94 Order of pole (three term test) = 1.51 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.04990000000009422 y[1] (analytic) = 0.5534080506277022 y[1] (numeric) = 0.5534080506437064 absolute error = 1.600419796687902e-11 relative error = 2.891934432237891e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.95 Order of pole (three term test) = 1.51 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.03990000000009393 y[1] (analytic) = 0.5575712430231334 y[1] (numeric) = 0.5575712430392689 absolute error = 1.613542632838971e-11 relative error = 2.893877065987827e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.96 Order of pole (three term test) = 1.51 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.02990000000009369 y[1] (analytic) = 0.5617438781359252 y[1] (numeric) = 0.5617438781521921 absolute error = 1.626687673450533e-11 relative error = 2.895781755287636e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.97 Order of pole (three term test) = 1.511 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.01990000000009375 y[1] (analytic) = 0.5659259241018022 y[1] (numeric) = 0.5659259241181998 absolute error = 1.639754998450371e-11 relative error = 2.897472846915212e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.98 Order of pole (three term test) = 1.511 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.009900000000093813 y[1] (analytic) = 0.5701173492913867 y[1] (numeric) = 0.5701173493079154 absolute error = 1.652866732371194e-11 relative error = 2.899169327903429e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.99 Order of pole (three term test) = 1.511 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.999999990618245e-05 y[1] (analytic) = 0.5743181223073348 y[1] (numeric) = 0.574318122323991 absolute error = 1.665623194924137e-11 relative error = 2.900175234297783e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2 Order of pole (three term test) = 1.511 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.01009999999990618 y[1] (analytic) = 0.5785282119815016 y[1] (numeric) = 0.5785282119982885 absolute error = 1.678690519923975e-11 relative error = 2.901657145075669e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.01 Order of pole (three term test) = 1.511 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.02009999999990612 y[1] (analytic) = 0.582747587372185 y[1] (numeric) = 0.5827475873891008 absolute error = 1.691580209239874e-11 relative error = 2.902766559476989e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.02 Order of pole (three term test) = 1.511 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.03009999999990606 y[1] (analytic) = 0.5869762177613875 y[1] (numeric) = 0.5869762177784312 absolute error = 1.704369978483555e-11 relative error = 2.903644009605174e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.03 Order of pole (three term test) = 1.511 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.0400999999999063 y[1] (analytic) = 0.5912140726521384 y[1] (numeric) = 0.5912140726693101 absolute error = 1.717170849957483e-11 relative error = 2.904482368382055e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.04 Order of pole (three term test) = 1.511 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.05009999999990659 y[1] (analytic) = 0.5954611217658643 y[1] (numeric) = 0.5954611217831625 absolute error = 1.729816290207964e-11 relative error = 2.90500290779375e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.05 Order of pole (three term test) = 1.511 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.06009999999990687 y[1] (analytic) = 0.5997173350397924 y[1] (numeric) = 0.5997173350572176 absolute error = 1.742517241609676e-11 relative error = 2.905564238015658e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.06 Order of pole (three term test) = 1.511 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.07009999999990715 y[1] (analytic) = 0.6039826826244106 y[1] (numeric) = 0.6039826826419619 absolute error = 1.755129375169417e-11 relative error = 2.905926652636915e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.07 Order of pole (three term test) = 1.511 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.08009999999990744 y[1] (analytic) = 0.6082571348809589 y[1] (numeric) = 0.6082571348986351 absolute error = 1.76761938419645e-11 relative error = 2.906039703985369e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.08 Order of pole (three term test) = 1.511 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.09009999999990773 y[1] (analytic) = 0.6125406623789655 y[1] (numeric) = 0.6125406623967667 absolute error = 1.78012049545373e-11 relative error = 2.906126245627769e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.09 Order of pole (three term test) = 1.511 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.100099999999908 y[1] (analytic) = 0.6168332358938309 y[1] (numeric) = 0.6168332359117563 absolute error = 1.792543891099285e-11 relative error = 2.906042973676304e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.1 Order of pole (three term test) = 1.511 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1100999999999083 y[1] (analytic) = 0.6211348264044396 y[1] (numeric) = 0.6211348264224885 absolute error = 1.804889571133117e-11 relative error = 2.905793548207678e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.11 Order of pole (three term test) = 1.511 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1200999999999086 y[1] (analytic) = 0.6254454050908196 y[1] (numeric) = 0.6254454051089922 absolute error = 1.817257455627441e-11 relative error = 2.905541300385061e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.12 Order of pole (three term test) = 1.511 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1300999999999082 y[1] (analytic) = 0.6297649433318364 y[1] (numeric) = 0.6297649433501318 absolute error = 1.829536522279795e-11 relative error = 2.905110139348888e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.129 Order of pole (three term test) = 1.511 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1400999999999071 y[1] (analytic) = 0.6340934127029256 y[1] (numeric) = 0.6340934127213437 absolute error = 1.841804486701903e-11 relative error = 2.90462643169705e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.139 Order of pole (three term test) = 1.511 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.150099999999906 y[1] (analytic) = 0.6384307849738611 y[1] (numeric) = 0.6384307849924015 absolute error = 1.854039144433273e-11 relative error = 2.90405661517275e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.149 Order of pole (three term test) = 1.512 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1600999999999049 y[1] (analytic) = 0.6427770321065598 y[1] (numeric) = 0.6427770321252224 absolute error = 1.866262699934396e-11 relative error = 2.903437127829742e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.159 Order of pole (three term test) = 1.512 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1700999999999038 y[1] (analytic) = 0.6471321262529202 y[1] (numeric) = 0.6471321262717044 absolute error = 1.878419642054041e-11 relative error = 2.902683340619523e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.169 Order of pole (three term test) = 1.512 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1800999999999027 y[1] (analytic) = 0.6514960397526952 y[1] (numeric) = 0.6514960397716019 absolute error = 1.890665402015657e-11 relative error = 2.902036676590305e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.179 Order of pole (three term test) = 1.512 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1900999999999016 y[1] (analytic) = 0.6558687451314062 y[1] (numeric) = 0.655868745150433 absolute error = 1.902678015142101e-11 relative error = 2.901004247063017e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.189 Order of pole (three term test) = 1.512 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2000999999999005 y[1] (analytic) = 0.6602502150982734 y[1] (numeric) = 0.6602502151174197 absolute error = 1.914624014887067e-11 relative error = 2.899846105467894e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.199 Order of pole (three term test) = 1.512 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2100999999998994 y[1] (analytic) = 0.664640422544192 y[1] (numeric) = 0.6646404225634592 absolute error = 1.926725445855482e-11 relative error = 2.898898984326181e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.209 Order of pole (three term test) = 1.512 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2200999999998983 y[1] (analytic) = 0.6690393405397432 y[1] (numeric) = 0.6690393405591288 absolute error = 1.938560423297986e-11 relative error = 2.897528300404674e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.219 Order of pole (three term test) = 1.512 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2300999999998972 y[1] (analytic) = 0.6734469423332179 y[1] (numeric) = 0.6734469423527217 absolute error = 1.950384298510244e-11 relative error = 2.896121692605747e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.229 Order of pole (three term test) = 1.512 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2400999999998961 y[1] (analytic) = 0.6778632013486883 y[1] (numeric) = 0.6778632013683111 absolute error = 1.962285889334225e-11 relative error = 2.894811055431284e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.239 Order of pole (three term test) = 1.512 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.250099999999895 y[1] (analytic) = 0.6822880911841058 y[1] (numeric) = 0.6822880912038467 absolute error = 1.974087560085991e-11 relative error = 2.893334334269233e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.249 Order of pole (three term test) = 1.512 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2600999999998939 y[1] (analytic) = 0.6867215856094204 y[1] (numeric) = 0.6867215856292775 absolute error = 1.985711595153816e-11 relative error = 2.891581736711578e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.259 Order of pole (three term test) = 1.512 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2700999999998928 y[1] (analytic) = 0.6911636585647321 y[1] (numeric) = 0.6911636585847064 absolute error = 1.997435550293858e-11 relative error = 2.889960323495198e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.269 Order of pole (three term test) = 1.512 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2800999999998917 y[1] (analytic) = 0.6956142841584798 y[1] (numeric) = 0.695614284178571 absolute error = 2.009115096512915e-11 relative error = 2.8882602647291e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.279 Order of pole (three term test) = 1.512 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2900999999998906 y[1] (analytic) = 0.700073436665642 y[1] (numeric) = 0.7000734366858488 absolute error = 2.020672518199262e-11 relative error = 2.886372218068237e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.289 Order of pole (three term test) = 1.512 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3000999999998895 y[1] (analytic) = 0.704541090525975 y[1] (numeric) = 0.7045410905462981 absolute error = 2.032307655497334e-11 relative error = 2.884583571953362e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.299 Order of pole (three term test) = 1.512 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3100999999998884 y[1] (analytic) = 0.7090172203422762 y[1] (numeric) = 0.7090172203627141 absolute error = 2.043787361571958e-11 relative error = 2.882563783973153e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.309 Order of pole (three term test) = 1.512 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3200999999998873 y[1] (analytic) = 0.7135018008786695 y[1] (numeric) = 0.7135018008992213 absolute error = 2.055178249804612e-11 relative error = 2.88041073936139e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.319 Order of pole (three term test) = 1.513 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3300999999998862 y[1] (analytic) = 0.7179948070589175 y[1] (numeric) = 0.7179948070795839 absolute error = 2.066635751418744e-11 relative error = 2.878343591208117e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.329 Order of pole (three term test) = 1.513 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.340099999999885 y[1] (analytic) = 0.7224962139647633 y[1] (numeric) = 0.7224962139855431 absolute error = 2.077982230730413e-11 relative error = 2.876115044710473e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.339 Order of pole (three term test) = 1.513 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3500999999998839 y[1] (analytic) = 0.7270059968342881 y[1] (numeric) = 0.7270059968551821 absolute error = 2.08939532342356e-11 relative error = 2.873972611672708e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.349 Order of pole (three term test) = 1.513 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3600999999998828 y[1] (analytic) = 0.7315241310603033 y[1] (numeric) = 0.73152413108131 absolute error = 2.100664087123505e-11 relative error = 2.871626509543451e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.359 Order of pole (three term test) = 1.513 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3700999999998817 y[1] (analytic) = 0.7360505921887546 y[1] (numeric) = 0.736050592209874 absolute error = 2.111943953053697e-11 relative error = 2.869291833287602e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.369 Order of pole (three term test) = 1.513 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3800999999998806 y[1] (analytic) = 0.7405853559171591 y[1] (numeric) = 0.7405853559383904 absolute error = 2.123123898911672e-11 relative error = 2.866818634676273e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.379 Order of pole (three term test) = 1.513 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3900999999998795 y[1] (analytic) = 0.7451283980930583 y[1] (numeric) = 0.745128398114401 absolute error = 2.134270538078908e-11 relative error = 2.864299016841875e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.389 Order of pole (three term test) = 1.513 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4000999999998784 y[1] (analytic) = 0.7496796947124977 y[1] (numeric) = 0.7496796947339521 absolute error = 2.145439381706638e-11 relative error = 2.861808045273807e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.399 Order of pole (three term test) = 1.513 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4100999999998773 y[1] (analytic) = 0.7542392219185268 y[1] (numeric) = 0.7542392219400915 absolute error = 2.156474998571412e-11 relative error = 2.859139296795089e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.409 Order of pole (three term test) = 1.513 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4200999999998762 y[1] (analytic) = 0.758806955999717 y[1] (numeric) = 0.7588069560213929 absolute error = 2.167588331047909e-11 relative error = 2.8565741443318e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.419 Order of pole (three term test) = 1.513 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4300999999998751 y[1] (analytic) = 0.7633828733887089 y[1] (numeric) = 0.7633828734104945 absolute error = 2.178557334531206e-11 relative error = 2.853820029863181e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.429 Order of pole (three term test) = 1.513 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.440099999999874 y[1] (analytic) = 0.7679669506607687 y[1] (numeric) = 0.7679669506826652 absolute error = 2.189648462547211e-11 relative error = 2.851227465795513e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.439 Order of pole (three term test) = 1.513 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4500999999998729 y[1] (analytic) = 0.7725591645323791 y[1] (numeric) = 0.7725591645543851 absolute error = 2.200606363800262e-11 relative error = 2.848463217871815e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.449 Order of pole (three term test) = 1.513 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4600999999998718 y[1] (analytic) = 0.7771594918598339 y[1] (numeric) = 0.7771594918819487 absolute error = 2.211475447211342e-11 relative error = 2.845587643688198e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.459 Order of pole (three term test) = 1.513 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4700999999998707 y[1] (analytic) = 0.7817679096378654 y[1] (numeric) = 0.7817679096600887 absolute error = 2.222333428392176e-11 relative error = 2.842702291811411e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.469 Order of pole (three term test) = 1.513 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4800999999998696 y[1] (analytic) = 0.7863843949982856 y[1] (numeric) = 0.7863843950206166 absolute error = 2.23310259173104e-11 relative error = 2.839708679285158e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.479 Order of pole (three term test) = 1.513 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4900999999998685 y[1] (analytic) = 0.791008925208645 y[1] (numeric) = 0.7910089252310828 absolute error = 2.243782937227934e-11 relative error = 2.83660887471793e-09 % Correct digits = 11 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.489 Order of pole (three term test) = 1.513 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = arctan ( sqrt ( 0.1 * x + 0.2 ) ) ; Iterations = 15001 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 30 Minutes 0.0 Seconds Percent Done = 100 %