##############ECHO OF PROBLEM################# ##############temp/lin_arcsinpostode.ode################# diff ( y , x , 1 ) = arcsin (0.1 * x + 0.2) ; ! /* BEGIN FIRST INPUT BLOCK */ max_terms=30; Digits=32; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=-0.8; x_end=0.8; array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_max_iter=100; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_desired_digits_correct=10; glob_display_interval=0.01; glob_look_poles=true; glob_max_iter=10000000; glob_max_minutes=3; glob_subiter_method=3; /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y (double x) { return(10.0 * (0.1 * x + 0.2) * arcsin(0.1 * x + 0.2 ) + 10.0 * sqrt(1.0 - expt((0.1 * x + 0.2) , 2 ))); } /* 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 = 1.6 estimated_steps = 1600000 step_error = 6.249999999999999e-17 est_needed_step_err = 6.249999999999999e-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 = 2.850926362169078e-184 estimated_step_error = 2.850926362169078e-184 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 = 1.913224393310229e-176 estimated_step_error = 1.913224393310229e-176 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 = 1.283943287899104e-168 estimated_step_error = 1.283943287899104e-168 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 = 8.616399317824516e-161 estimated_step_error = 8.616399317824516e-161 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 = 5.782370073794316e-153 estimated_step_error = 5.782370073794316e-153 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 = 3.880486054995977e-145 estimated_step_error = 3.880486054995977e-145 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 = 2.604154385637633e-137 estimated_step_error = 2.604154385637633e-137 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 = 1.747624164792152e-129 estimated_step_error = 1.747624164792152e-129 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 = 1.172818427866768e-121 estimated_step_error = 1.172818427866768e-121 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 = 7.870754639100914e-114 estimated_step_error = 7.870754639100914e-114 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 = 5.282112815692776e-106 estimated_step_error = 5.282112815692776e-106 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 = 3.544952200337034e-98 estimated_step_error = 3.544952200337034e-98 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 = 2.379227231169684e-90 estimated_step_error = 2.379227231169684e-90 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 = 1.597008125855329e-82 estimated_step_error = 1.597008125855329e-82 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 = 1.072184946902941e-74 estimated_step_error = 1.072184946902941e-74 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 = 7.201371451878775e-67 estimated_step_error = 7.201371451878775e-67 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 = 4.840912983229837e-59 estimated_step_error = 4.840912983229837e-59 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 = 3.2596819840476e-51 estimated_step_error = 3.2596819840476e-51 best_h = 0.1 START of Soultion TOP MAIN SOLVE Loop x[1] = -0.8 y[1] (analytic) = 10.07208677566643 y[1] (numeric) = 10.07208677566643 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.766 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 12.06 Order of pole (three term test) = 811.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.79 y[1] (analytic) = 10.07329471108875 y[1] (numeric) = 10.07329471108875 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.761 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 11.83 Order of pole (three term test) = 797.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.78 y[1] (analytic) = 10.07451272053074 y[1] (numeric) = 10.07451272053074 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.756 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 11.62 Order of pole (three term test) = 783.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.77 y[1] (analytic) = 10.0757408052348 y[1] (numeric) = 10.0757408052348 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.751 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 11.43 Order of pole (three term test) = 771.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.76 y[1] (analytic) = 10.07697896645406 y[1] (numeric) = 10.07697896645406 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.745 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 11.25 Order of pole (three term test) = 759.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.75 y[1] (analytic) = 10.0782272054523 y[1] (numeric) = 10.0782272054523 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.739 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 11.08 Order of pole (three term test) = 749 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.74 y[1] (analytic) = 10.07948552350404 y[1] (numeric) = 10.07948552350405 absolute error = 1.77635683940025e-15 relative error = 1.762348718352755e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.733 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 10.93 Order of pole (three term test) = 739.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.73 y[1] (analytic) = 10.08075392189455 y[1] (numeric) = 10.08075392189455 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.727 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 10.78 Order of pole (three term test) = 730 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.72 y[1] (analytic) = 10.08203240191978 y[1] (numeric) = 10.08203240191979 absolute error = 1.77635683940025e-15 relative error = 1.761903521617331e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.721 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 10.64 Order of pole (three term test) = 721.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.71 y[1] (analytic) = 10.0833209648865 y[1] (numeric) = 10.0833209648865 absolute error = 1.77635683940025e-15 relative error = 1.761678365278781e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.714 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 10.52 Order of pole (three term test) = 713.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7 y[1] (analytic) = 10.08461961211218 y[1] (numeric) = 10.08461961211218 absolute error = 1.77635683940025e-15 relative error = 1.761451505088747e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.707 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 10.4 Order of pole (three term test) = 706.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6899999999999999 y[1] (analytic) = 10.08592834492512 y[1] (numeric) = 10.08592834492512 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.7 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 10.29 Order of pole (three term test) = 699.3 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6799999999999999 y[1] (analytic) = 10.08724716466436 y[1] (numeric) = 10.08724716466436 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.693 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 10.18 Order of pole (three term test) = 692.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6699999999999999 y[1] (analytic) = 10.08857607267977 y[1] (numeric) = 10.08857607267977 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.686 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 10.09 Order of pole (three term test) = 686.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6599999999999999 y[1] (analytic) = 10.08991507033203 y[1] (numeric) = 10.08991507033203 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.678 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 9.993 Order of pole (three term test) = 681.3 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6499999999999999 y[1] (analytic) = 10.09126415899265 y[1] (numeric) = 10.09126415899265 absolute error = 1.77635683940025e-15 relative error = 1.760291685375496e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.671 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 9.906 Order of pole (three term test) = 676 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6399999999999999 y[1] (analytic) = 10.09262334004395 y[1] (numeric) = 10.09262334004395 absolute error = 1.77635683940025e-15 relative error = 1.760054625592036e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.663 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 9.823 Order of pole (three term test) = 671 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6299999999999999 y[1] (analytic) = 10.09399261487915 y[1] (numeric) = 10.09399261487915 absolute error = 1.77635683940025e-15 relative error = 1.759815869868772e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.655 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 9.745 Order of pole (three term test) = 666.4 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6199999999999999 y[1] (analytic) = 10.09537198490229 y[1] (numeric) = 10.09537198490228 absolute error = 1.77635683940025e-15 relative error = 1.759575419367218e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.647 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 9.672 Order of pole (three term test) = 662 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6099999999999999 y[1] (analytic) = 10.09676145152831 y[1] (numeric) = 10.09676145152831 absolute error = 1.77635683940025e-15 relative error = 1.759333275256661e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.639 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 9.602 Order of pole (three term test) = 657.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5999999999999999 y[1] (analytic) = 10.09816101618305 y[1] (numeric) = 10.09816101618305 absolute error = 1.77635683940025e-15 relative error = 1.759089438714145e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.63 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 9.536 Order of pole (three term test) = 654.1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5899999999999999 y[1] (analytic) = 10.09957068030324 y[1] (numeric) = 10.09957068030324 absolute error = 1.77635683940025e-15 relative error = 1.758843910924455e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.622 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 9.473 Order of pole (three term test) = 650.4 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5799999999999998 y[1] (analytic) = 10.10099044533653 y[1] (numeric) = 10.10099044533653 absolute error = 1.77635683940025e-15 relative error = 1.758596693080099e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.613 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 9.413 Order of pole (three term test) = 647 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5699999999999998 y[1] (analytic) = 10.10242031274152 y[1] (numeric) = 10.10242031274152 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.605 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 9.356 Order of pole (three term test) = 643.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5599999999999998 y[1] (analytic) = 10.10386028398774 y[1] (numeric) = 10.10386028398774 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.596 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 9.302 Order of pole (three term test) = 640.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5499999999999998 y[1] (analytic) = 10.10531036055568 y[1] (numeric) = 10.10531036055568 absolute error = 1.77635683940025e-15 relative error = 1.757844911259678e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.587 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 9.251 Order of pole (three term test) = 637.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5399999999999998 y[1] (analytic) = 10.10677054393681 y[1] (numeric) = 10.10677054393681 absolute error = 1.77635683940025e-15 relative error = 1.7575909452757e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.578 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 9.202 Order of pole (three term test) = 635.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5299999999999998 y[1] (analytic) = 10.1082408356336 y[1] (numeric) = 10.1082408356336 absolute error = 1.77635683940025e-15 relative error = 1.757335295314919e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.569 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 9.155 Order of pole (three term test) = 632.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5199999999999998 y[1] (analytic) = 10.10972123715951 y[1] (numeric) = 10.1097212371595 absolute error = 1.77635683940025e-15 relative error = 1.757077962615859e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.56 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 9.11 Order of pole (three term test) = 630.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5099999999999998 y[1] (analytic) = 10.11121175003901 y[1] (numeric) = 10.11121175003901 absolute error = 1.77635683940025e-15 relative error = 1.756818948424651e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.551 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 9.067 Order of pole (three term test) = 628 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4999999999999998 y[1] (analytic) = 10.11271237580762 y[1] (numeric) = 10.11271237580762 absolute error = 1.77635683940025e-15 relative error = 1.756558253995023e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.541 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 9.026 Order of pole (three term test) = 625.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4899999999999998 y[1] (analytic) = 10.11422311601191 y[1] (numeric) = 10.1142231160119 absolute error = 1.77635683940025e-15 relative error = 1.756295880588284e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.532 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.987 Order of pole (three term test) = 623.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4799999999999998 y[1] (analytic) = 10.11574397220948 y[1] (numeric) = 10.11574397220948 absolute error = 1.77635683940025e-15 relative error = 1.756031829473298e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.522 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.949 Order of pole (three term test) = 621.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4699999999999998 y[1] (analytic) = 10.11727494596905 y[1] (numeric) = 10.11727494596905 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.513 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.913 Order of pole (three term test) = 620 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4599999999999997 y[1] (analytic) = 10.1188160388704 y[1] (numeric) = 10.11881603887039 absolute error = 1.77635683940025e-15 relative error = 1.755498699231766e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.503 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.879 Order of pole (three term test) = 618.3 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4499999999999997 y[1] (analytic) = 10.12036725250442 y[1] (numeric) = 10.12036725250442 absolute error = 1.77635683940025e-15 relative error = 1.755229622680607e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.494 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.845 Order of pole (three term test) = 616.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4399999999999997 y[1] (analytic) = 10.12192858847314 y[1] (numeric) = 10.12192858847314 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.484 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.813 Order of pole (three term test) = 615.1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4299999999999997 y[1] (analytic) = 10.12350004838971 y[1] (numeric) = 10.12350004838971 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.474 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.782 Order of pole (three term test) = 613.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4199999999999997 y[1] (analytic) = 10.12508163387845 y[1] (numeric) = 10.12508163387845 absolute error = 1.77635683940025e-15 relative error = 1.754412362915251e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.464 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.753 Order of pole (three term test) = 612.3 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4099999999999997 y[1] (analytic) = 10.12667334657483 y[1] (numeric) = 10.12667334657483 absolute error = 1.77635683940025e-15 relative error = 1.754136604002411e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.454 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.724 Order of pole (three term test) = 611 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3999999999999997 y[1] (analytic) = 10.12827518812551 y[1] (numeric) = 10.12827518812551 absolute error = 1.77635683940025e-15 relative error = 1.753859177802425e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.444 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.696 Order of pole (three term test) = 609.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3899999999999997 y[1] (analytic) = 10.12988716018836 y[1] (numeric) = 10.12988716018836 absolute error = 1.77635683940025e-15 relative error = 1.753580085651438e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.432 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.67 Order of pole (three term test) = 608.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3799999999999997 y[1] (analytic) = 10.13150926443245 y[1] (numeric) = 10.13150926443245 absolute error = 1.77635683940025e-15 relative error = 1.753299328892989e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.419 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.644 Order of pole (three term test) = 607.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3699999999999997 y[1] (analytic) = 10.13314150253809 y[1] (numeric) = 10.13314150253809 absolute error = 1.77635683940025e-15 relative error = 1.753016908877981e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.407 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.619 Order of pole (three term test) = 606.4 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3599999999999997 y[1] (analytic) = 10.13478387619685 y[1] (numeric) = 10.13478387619685 absolute error = 1.77635683940025e-15 relative error = 1.752732826964674e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.395 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.594 Order of pole (three term test) = 605.4 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3499999999999996 y[1] (analytic) = 10.13643638711155 y[1] (numeric) = 10.13643638711155 absolute error = 1.77635683940025e-15 relative error = 1.752447084518661e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.383 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.571 Order of pole (three term test) = 604.4 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3399999999999996 y[1] (analytic) = 10.13809903699629 y[1] (numeric) = 10.13809903699629 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.371 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.548 Order of pole (three term test) = 603.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3299999999999996 y[1] (analytic) = 10.13977182757648 y[1] (numeric) = 10.13977182757648 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.359 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.526 Order of pole (three term test) = 602.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3199999999999996 y[1] (analytic) = 10.14145476058884 y[1] (numeric) = 10.14145476058884 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.348 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.505 Order of pole (three term test) = 601.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3099999999999996 y[1] (analytic) = 10.1431478377814 y[1] (numeric) = 10.1431478377814 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.336 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.484 Order of pole (three term test) = 601.1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2999999999999996 y[1] (analytic) = 10.14485106091358 y[1] (numeric) = 10.14485106091358 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.324 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.464 Order of pole (three term test) = 600.4 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2899999999999996 y[1] (analytic) = 10.14656443175614 y[1] (numeric) = 10.14656443175614 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.312 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.444 Order of pole (three term test) = 599.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2799999999999996 y[1] (analytic) = 10.14828795209121 y[1] (numeric) = 10.14828795209121 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.3 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.425 Order of pole (three term test) = 599 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2699999999999996 y[1] (analytic) = 10.15002162371235 y[1] (numeric) = 10.15002162371235 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.288 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.406 Order of pole (three term test) = 598.4 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2599999999999996 y[1] (analytic) = 10.15176544842452 y[1] (numeric) = 10.15176544842452 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.277 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.387 Order of pole (three term test) = 597.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2499999999999996 y[1] (analytic) = 10.15351942804411 y[1] (numeric) = 10.15351942804411 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.265 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.37 Order of pole (three term test) = 597.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2399999999999995 y[1] (analytic) = 10.15528356439899 y[1] (numeric) = 10.15528356439899 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.253 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.352 Order of pole (three term test) = 596.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2299999999999995 y[1] (analytic) = 10.15705785932846 y[1] (numeric) = 10.15705785932846 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.242 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.335 Order of pole (three term test) = 596.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2199999999999995 y[1] (analytic) = 10.15884231468334 y[1] (numeric) = 10.15884231468334 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.23 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.318 Order of pole (three term test) = 595.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2099999999999995 y[1] (analytic) = 10.16063693232596 y[1] (numeric) = 10.16063693232595 absolute error = 1.77635683940025e-15 relative error = 1.748273116372056e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.218 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.302 Order of pole (three term test) = 595.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1999999999999995 y[1] (analytic) = 10.16244171413014 y[1] (numeric) = 10.16244171413014 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.207 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.286 Order of pole (three term test) = 594.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1899999999999995 y[1] (analytic) = 10.16425666198127 y[1] (numeric) = 10.16425666198127 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.195 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.27 Order of pole (three term test) = 594.4 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1799999999999995 y[1] (analytic) = 10.16608177777631 y[1] (numeric) = 10.16608177777631 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.183 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.255 Order of pole (three term test) = 594 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1699999999999995 y[1] (analytic) = 10.16791706342378 y[1] (numeric) = 10.16791706342378 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.172 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.24 Order of pole (three term test) = 593.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1599999999999995 y[1] (analytic) = 10.16976252084381 y[1] (numeric) = 10.16976252084381 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.16 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.225 Order of pole (three term test) = 593.3 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1499999999999995 y[1] (analytic) = 10.17161815196815 y[1] (numeric) = 10.17161815196815 absolute error = 1.77635683940025e-15 relative error = 1.746385690910483e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.149 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.21 Order of pole (three term test) = 592.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1399999999999995 y[1] (analytic) = 10.17348395874017 y[1] (numeric) = 10.17348395874017 absolute error = 1.77635683940025e-15 relative error = 1.746065405523307e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.137 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.196 Order of pole (three term test) = 592.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1299999999999994 y[1] (analytic) = 10.17535994311491 y[1] (numeric) = 10.17535994311492 absolute error = 1.77635683940025e-15 relative error = 1.745743491464604e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.126 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.181 Order of pole (three term test) = 592.3 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1199999999999995 y[1] (analytic) = 10.1772461070591 y[1] (numeric) = 10.1772461070591 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.114 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.167 Order of pole (three term test) = 592 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1099999999999995 y[1] (analytic) = 10.17914245255114 y[1] (numeric) = 10.17914245255114 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.103 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.154 Order of pole (three term test) = 591.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.09999999999999946 y[1] (analytic) = 10.18104898158116 y[1] (numeric) = 10.18104898158116 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.091 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.14 Order of pole (three term test) = 591.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.08999999999999947 y[1] (analytic) = 10.18296569615101 y[1] (numeric) = 10.18296569615101 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.08 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.127 Order of pole (three term test) = 591.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.07999999999999947 y[1] (analytic) = 10.18489259827431 y[1] (numeric) = 10.18489259827431 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.068 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.113 Order of pole (three term test) = 591 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.06999999999999948 y[1] (analytic) = 10.18682968997644 y[1] (numeric) = 10.18682968997644 absolute error = 1.77635683940025e-15 relative error = 1.743777891121647e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.057 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.1 Order of pole (three term test) = 590.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.05999999999999948 y[1] (analytic) = 10.1887769732946 y[1] (numeric) = 10.1887769732946 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.046 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.088 Order of pole (three term test) = 590.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.04999999999999948 y[1] (analytic) = 10.19073445027777 y[1] (numeric) = 10.19073445027777 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.034 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.075 Order of pole (three term test) = 590.3 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.03999999999999947 y[1] (analytic) = 10.19270212298679 y[1] (numeric) = 10.19270212298679 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.023 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.062 Order of pole (three term test) = 590.1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.02999999999999947 y[1] (analytic) = 10.19467999349435 y[1] (numeric) = 10.19467999349435 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.011 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.05 Order of pole (three term test) = 590 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.01999999999999947 y[1] (analytic) = 10.196668063885 y[1] (numeric) = 10.196668063885 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.037 Order of pole (three term test) = 589.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.009999999999999469 y[1] (analytic) = 10.19866633625522 y[1] (numeric) = 10.19866633625522 absolute error = 1.77635683940025e-15 relative error = 1.741754049826577e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.989 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.025 Order of pole (three term test) = 589.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.30825383648903e-16 y[1] (analytic) = 10.20067481271337 y[1] (numeric) = 10.20067481271337 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.977 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.013 Order of pole (three term test) = 589.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.01000000000000053 y[1] (analytic) = 10.20269349537979 y[1] (numeric) = 10.20269349537979 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.966 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.001 Order of pole (three term test) = 589.3 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.02000000000000053 y[1] (analytic) = 10.20472238638674 y[1] (numeric) = 10.20472238638674 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.954 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.989 Order of pole (three term test) = 589.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.03000000000000053 y[1] (analytic) = 10.20676148787849 y[1] (numeric) = 10.20676148787849 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.943 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.977 Order of pole (three term test) = 589 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.04000000000000054 y[1] (analytic) = 10.2088108020113 y[1] (numeric) = 10.2088108020113 absolute error = 1.77635683940025e-15 relative error = 1.740023273866805e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.932 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.966 Order of pole (three term test) = 588.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.05000000000000054 y[1] (analytic) = 10.21087033095346 y[1] (numeric) = 10.21087033095346 absolute error = 1.77635683940025e-15 relative error = 1.73967231178655e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.92 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.954 Order of pole (three term test) = 588.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.06000000000000054 y[1] (analytic) = 10.21294007688531 y[1] (numeric) = 10.21294007688531 absolute error = 3.552713678800501e-15 relative error = 3.478639502488875e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.909 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.943 Order of pole (three term test) = 588.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.07000000000000053 y[1] (analytic) = 10.21502004199925 y[1] (numeric) = 10.21502004199924 absolute error = 3.552713678800501e-15 relative error = 3.477931187793516e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.898 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.931 Order of pole (three term test) = 588.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.08000000000000053 y[1] (analytic) = 10.21711022849977 y[1] (numeric) = 10.21711022849977 absolute error = 3.552713678800501e-15 relative error = 3.477219682812567e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.886 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.92 Order of pole (three term test) = 588.4 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.09000000000000052 y[1] (analytic) = 10.21921063860349 y[1] (numeric) = 10.21921063860349 absolute error = 3.552713678800501e-15 relative error = 3.4765049908845e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.875 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.908 Order of pole (three term test) = 588.3 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1000000000000005 y[1] (analytic) = 10.22132127453915 y[1] (numeric) = 10.22132127453914 absolute error = 3.552713678800501e-15 relative error = 3.475787115360664e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.864 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.897 Order of pole (three term test) = 588.3 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1100000000000005 y[1] (analytic) = 10.22344213854765 y[1] (numeric) = 10.22344213854764 absolute error = 3.552713678800501e-15 relative error = 3.475066059605246e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.852 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.886 Order of pole (three term test) = 588.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1200000000000005 y[1] (analytic) = 10.22557323288207 y[1] (numeric) = 10.22557323288207 absolute error = 3.552713678800501e-15 relative error = 3.474341826995229e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.841 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.875 Order of pole (three term test) = 588.1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1300000000000005 y[1] (analytic) = 10.22771455980771 y[1] (numeric) = 10.22771455980771 absolute error = 3.552713678800501e-15 relative error = 3.473614420920342e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.83 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.864 Order of pole (three term test) = 588 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1400000000000005 y[1] (analytic) = 10.22986612160207 y[1] (numeric) = 10.22986612160207 absolute error = 3.552713678800501e-15 relative error = 3.472883844783023e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.818 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.853 Order of pole (three term test) = 587.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1500000000000005 y[1] (analytic) = 10.23202792055493 y[1] (numeric) = 10.23202792055492 absolute error = 1.77635683940025e-15 relative error = 1.736075050999188e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.807 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.842 Order of pole (three term test) = 587.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1600000000000005 y[1] (analytic) = 10.2341999589683 y[1] (numeric) = 10.2341999589683 absolute error = 1.77635683940025e-15 relative error = 1.735706597997058e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.796 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.831 Order of pole (three term test) = 587.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1700000000000005 y[1] (analytic) = 10.23638223915654 y[1] (numeric) = 10.23638223915654 absolute error = 1.77635683940025e-15 relative error = 1.73533656510527e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.785 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.82 Order of pole (three term test) = 587.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1800000000000005 y[1] (analytic) = 10.2385747634463 y[1] (numeric) = 10.2385747634463 absolute error = 1.77635683940025e-15 relative error = 1.734964954050235e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.773 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.809 Order of pole (three term test) = 587.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1900000000000006 y[1] (analytic) = 10.24077753417656 y[1] (numeric) = 10.24077753417656 absolute error = 1.77635683940025e-15 relative error = 1.734591766564611e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.762 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.799 Order of pole (three term test) = 587.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2000000000000006 y[1] (analytic) = 10.24299055369871 y[1] (numeric) = 10.24299055369871 absolute error = 1.77635683940025e-15 relative error = 1.734217004387273e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.751 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.788 Order of pole (three term test) = 587.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2100000000000006 y[1] (analytic) = 10.24521382437649 y[1] (numeric) = 10.24521382437648 absolute error = 1.77635683940025e-15 relative error = 1.733840669263297e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.739 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.777 Order of pole (three term test) = 587.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2200000000000006 y[1] (analytic) = 10.24744734858608 y[1] (numeric) = 10.24744734858607 absolute error = 1.77635683940025e-15 relative error = 1.733462762943933e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.728 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.766 Order of pole (three term test) = 587.4 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2300000000000006 y[1] (analytic) = 10.24969112871609 y[1] (numeric) = 10.24969112871609 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.717 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.756 Order of pole (three term test) = 587.4 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2400000000000006 y[1] (analytic) = 10.25194516716761 y[1] (numeric) = 10.25194516716761 absolute error = 1.77635683940025e-15 relative error = 1.732702243754801e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.706 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.745 Order of pole (three term test) = 587.3 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2500000000000006 y[1] (analytic) = 10.25420946635421 y[1] (numeric) = 10.25420946635421 absolute error = 1.77635683940025e-15 relative error = 1.732319634418213e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.694 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.735 Order of pole (three term test) = 587.3 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2600000000000006 y[1] (analytic) = 10.25648402870197 y[1] (numeric) = 10.25648402870196 absolute error = 1.77635683940025e-15 relative error = 1.731935460952559e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.683 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.724 Order of pole (three term test) = 587.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2700000000000006 y[1] (analytic) = 10.25876885664951 y[1] (numeric) = 10.25876885664951 absolute error = 1.77635683940025e-15 relative error = 1.731549725139635e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.672 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.714 Order of pole (three term test) = 587.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2800000000000006 y[1] (analytic) = 10.26106395264803 y[1] (numeric) = 10.26106395264802 absolute error = 1.77635683940025e-15 relative error = 1.731162428767276e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.66 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.703 Order of pole (three term test) = 587.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2900000000000006 y[1] (analytic) = 10.2633693191613 y[1] (numeric) = 10.2633693191613 absolute error = 1.77635683940025e-15 relative error = 1.730773573629337e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.649 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.693 Order of pole (three term test) = 587.1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3000000000000007 y[1] (analytic) = 10.26568495866573 y[1] (numeric) = 10.26568495866572 absolute error = 3.552713678800501e-15 relative error = 3.460766323051337e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.638 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.682 Order of pole (three term test) = 587.1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3100000000000007 y[1] (analytic) = 10.26801087365035 y[1] (numeric) = 10.26801087365034 absolute error = 3.552713678800501e-15 relative error = 3.459982388524183e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.627 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.672 Order of pole (three term test) = 587.1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3200000000000007 y[1] (analytic) = 10.27034706661686 y[1] (numeric) = 10.27034706661685 absolute error = 3.552713678800501e-15 relative error = 3.459195347300757e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.615 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.662 Order of pole (three term test) = 587 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3300000000000007 y[1] (analytic) = 10.27269354007966 y[1] (numeric) = 10.27269354007966 absolute error = 1.77635683940025e-15 relative error = 1.729202601508227e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.604 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.651 Order of pole (three term test) = 587 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3400000000000007 y[1] (analytic) = 10.27505029656588 y[1] (numeric) = 10.27505029656588 absolute error = 1.77635683940025e-15 relative error = 1.728805979659237e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.593 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.641 Order of pole (three term test) = 587 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3500000000000007 y[1] (analytic) = 10.27741733861537 y[1] (numeric) = 10.27741733861537 absolute error = 3.552713678800501e-15 relative error = 3.45681561986578e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.582 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.631 Order of pole (three term test) = 586.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3600000000000007 y[1] (analytic) = 10.27979466878078 y[1] (numeric) = 10.27979466878077 absolute error = 3.552713678800501e-15 relative error = 3.456016188329048e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.57 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.62 Order of pole (three term test) = 586.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3700000000000007 y[1] (analytic) = 10.28218228962753 y[1] (numeric) = 10.28218228962753 absolute error = 3.552713678800501e-15 relative error = 3.45521366839062e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.559 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.61 Order of pole (three term test) = 586.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3800000000000007 y[1] (analytic) = 10.2845802037339 y[1] (numeric) = 10.28458020373389 absolute error = 3.552713678800501e-15 relative error = 3.45440806374446e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.548 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.6 Order of pole (three term test) = 586.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3900000000000007 y[1] (analytic) = 10.28698841369098 y[1] (numeric) = 10.28698841369098 absolute error = 3.552713678800501e-15 relative error = 3.453599378096104e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.537 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.59 Order of pole (three term test) = 586.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4000000000000007 y[1] (analytic) = 10.28940692210279 y[1] (numeric) = 10.28940692210279 absolute error = 3.552713678800501e-15 relative error = 3.452787615162616e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.525 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.579 Order of pole (three term test) = 586.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4100000000000008 y[1] (analytic) = 10.29183573158622 y[1] (numeric) = 10.29183573158621 absolute error = 1.77635683940025e-15 relative error = 1.72598638933627e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.514 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.569 Order of pole (three term test) = 586.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4200000000000008 y[1] (analytic) = 10.2942748447711 y[1] (numeric) = 10.2942748447711 absolute error = 3.552713678800501e-15 relative error = 3.451154872365851e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.503 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.559 Order of pole (three term test) = 586.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4300000000000008 y[1] (analytic) = 10.29672426430025 y[1] (numeric) = 10.29672426430024 absolute error = 3.552713678800501e-15 relative error = 3.450333899993912e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.492 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.549 Order of pole (three term test) = 586.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4400000000000008 y[1] (analytic) = 10.29918399282944 y[1] (numeric) = 10.29918399282943 absolute error = 3.552713678800501e-15 relative error = 3.449509865319421e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.481 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.538 Order of pole (three term test) = 586.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4500000000000008 y[1] (analytic) = 10.30165403302748 y[1] (numeric) = 10.30165403302748 absolute error = 3.552713678800501e-15 relative error = 3.448682772116371e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.469 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.528 Order of pole (three term test) = 586.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4600000000000008 y[1] (analytic) = 10.30413438757624 y[1] (numeric) = 10.30413438757624 absolute error = 3.552713678800501e-15 relative error = 3.447852624169993e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.458 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.518 Order of pole (three term test) = 586.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4700000000000008 y[1] (analytic) = 10.30662505917064 y[1] (numeric) = 10.30662505917064 absolute error = 3.552713678800501e-15 relative error = 3.447019425276718e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.447 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.508 Order of pole (three term test) = 586.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4800000000000008 y[1] (analytic) = 10.30912605051872 y[1] (numeric) = 10.30912605051872 absolute error = 3.552713678800501e-15 relative error = 3.446183179244123e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.436 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.498 Order of pole (three term test) = 586.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4900000000000008 y[1] (analytic) = 10.31163736434164 y[1] (numeric) = 10.31163736434164 absolute error = 3.552713678800501e-15 relative error = 3.445343889890883e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.424 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.488 Order of pole (three term test) = 586.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5000000000000008 y[1] (analytic) = 10.31415900337374 y[1] (numeric) = 10.31415900337374 absolute error = 1.77635683940025e-15 relative error = 1.722250780523364e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.413 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.478 Order of pole (three term test) = 586.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5100000000000008 y[1] (analytic) = 10.31669097036253 y[1] (numeric) = 10.31669097036252 absolute error = 1.77635683940025e-15 relative error = 1.721828098276196e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.402 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.467 Order of pole (three term test) = 586.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5200000000000008 y[1] (analytic) = 10.31923326806874 y[1] (numeric) = 10.31923326806874 absolute error = 1.77635683940025e-15 relative error = 1.721403900129779e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.391 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.457 Order of pole (three term test) = 586.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5300000000000008 y[1] (analytic) = 10.32178589926638 y[1] (numeric) = 10.32178589926638 absolute error = 1.77635683940025e-15 relative error = 1.720978188015414e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.379 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.447 Order of pole (three term test) = 586.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5400000000000008 y[1] (analytic) = 10.3243488667427 y[1] (numeric) = 10.3243488667427 absolute error = 1.77635683940025e-15 relative error = 1.720550963869827e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.368 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.437 Order of pole (three term test) = 586.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5500000000000008 y[1] (analytic) = 10.32692217329828 y[1] (numeric) = 10.32692217329828 absolute error = 1.77635683940025e-15 relative error = 1.72012222963515e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.357 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.427 Order of pole (three term test) = 586.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5600000000000008 y[1] (analytic) = 10.32950582174704 y[1] (numeric) = 10.32950582174704 absolute error = 1.77635683940025e-15 relative error = 1.719691987258896e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.346 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.417 Order of pole (three term test) = 586.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5700000000000008 y[1] (analytic) = 10.33209981491626 y[1] (numeric) = 10.33209981491625 absolute error = 1.77635683940025e-15 relative error = 1.719260238693937e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.335 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.407 Order of pole (three term test) = 586.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5800000000000008 y[1] (analytic) = 10.33470415564661 y[1] (numeric) = 10.33470415564661 absolute error = 1.77635683940025e-15 relative error = 1.718826985898474e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.323 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.397 Order of pole (three term test) = 586.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5900000000000009 y[1] (analytic) = 10.33731884679223 y[1] (numeric) = 10.33731884679223 absolute error = 1.77635683940025e-15 relative error = 1.718392230836018e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.312 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.387 Order of pole (three term test) = 586.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6000000000000009 y[1] (analytic) = 10.33994389122067 y[1] (numeric) = 10.33994389122067 absolute error = 1.77635683940025e-15 relative error = 1.717955975475361e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.301 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.377 Order of pole (three term test) = 586.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6100000000000009 y[1] (analytic) = 10.342579291813 y[1] (numeric) = 10.342579291813 absolute error = 1.77635683940025e-15 relative error = 1.717518221790557e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.29 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.367 Order of pole (three term test) = 586.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6200000000000009 y[1] (analytic) = 10.34522505146382 y[1] (numeric) = 10.34522505146382 absolute error = 1.77635683940025e-15 relative error = 1.717078971760891e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.278 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.357 Order of pole (three term test) = 586.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6300000000000009 y[1] (analytic) = 10.34788117308126 y[1] (numeric) = 10.34788117308126 absolute error = 3.552713678800501e-15 relative error = 3.433276454741719e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.267 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.347 Order of pole (three term test) = 586.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6400000000000009 y[1] (analytic) = 10.35054765958705 y[1] (numeric) = 10.35054765958705 absolute error = 3.552713678800501e-15 relative error = 3.432391981220287e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.256 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.337 Order of pole (three term test) = 586.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6500000000000009 y[1] (analytic) = 10.35322451391654 y[1] (numeric) = 10.35322451391654 absolute error = 3.552713678800501e-15 relative error = 3.431504526947168e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.245 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.326 Order of pole (three term test) = 586.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6600000000000009 y[1] (analytic) = 10.35591173901872 y[1] (numeric) = 10.35591173901872 absolute error = 3.552713678800501e-15 relative error = 3.430614095922315e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.233 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.316 Order of pole (three term test) = 586.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6700000000000009 y[1] (analytic) = 10.35860933785628 y[1] (numeric) = 10.35860933785627 absolute error = 5.329070518200751e-15 relative error = 5.144581038233852e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.222 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.306 Order of pole (three term test) = 586.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6800000000000009 y[1] (analytic) = 10.36131731340558 y[1] (numeric) = 10.36131731340558 absolute error = 5.329070518200751e-15 relative error = 5.143236479502411e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.211 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.296 Order of pole (three term test) = 586.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6900000000000009 y[1] (analytic) = 10.36403566865679 y[1] (numeric) = 10.36403566865678 absolute error = 3.552713678800501e-15 relative error = 3.4279249824899e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.2 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.286 Order of pole (three term test) = 586.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.700000000000001 y[1] (analytic) = 10.3667644066138 y[1] (numeric) = 10.3667644066138 absolute error = 3.552713678800501e-15 relative error = 3.427022684661317e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.189 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.276 Order of pole (three term test) = 586.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.710000000000001 y[1] (analytic) = 10.36950353029435 y[1] (numeric) = 10.36950353029435 absolute error = 3.552713678800501e-15 relative error = 3.426117430233087e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.177 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.266 Order of pole (three term test) = 586.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.720000000000001 y[1] (analytic) = 10.37225304273001 y[1] (numeric) = 10.37225304273001 absolute error = 3.552713678800501e-15 relative error = 3.425209223265744e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.166 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.256 Order of pole (three term test) = 586.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.730000000000001 y[1] (analytic) = 10.37501294696623 y[1] (numeric) = 10.37501294696623 absolute error = 3.552713678800501e-15 relative error = 3.424298067829741e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.155 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.246 Order of pole (three term test) = 586.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.740000000000001 y[1] (analytic) = 10.37778324606237 y[1] (numeric) = 10.37778324606237 absolute error = 5.329070518200751e-15 relative error = 5.135075952008106e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.144 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.236 Order of pole (three term test) = 586.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.750000000000001 y[1] (analytic) = 10.38056394309175 y[1] (numeric) = 10.38056394309174 absolute error = 5.329070518200751e-15 relative error = 5.133700391824321e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.132 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.226 Order of pole (three term test) = 586.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.760000000000001 y[1] (analytic) = 10.38335504114163 y[1] (numeric) = 10.38335504114163 absolute error = 3.552713678800501e-15 relative error = 3.421546951562089e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.121 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.216 Order of pole (three term test) = 586.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.770000000000001 y[1] (analytic) = 10.38615654331334 y[1] (numeric) = 10.38615654331334 absolute error = 3.552713678800501e-15 relative error = 3.420624043152666e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.11 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.206 Order of pole (three term test) = 586.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.780000000000001 y[1] (analytic) = 10.38896845272222 y[1] (numeric) = 10.38896845272222 absolute error = 3.552713678800501e-15 relative error = 3.419698206773921e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.099 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.196 Order of pole (three term test) = 586.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.790000000000001 y[1] (analytic) = 10.39179077249769 y[1] (numeric) = 10.39179077249769 absolute error = 3.552713678800501e-15 relative error = 3.41876944655478e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.088 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.186 Order of pole (three term test) = 586.5 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = arcsin (0.1 * x + 0.2) ; Iterations = 160 Total Elapsed Time = 0 Seconds Elapsed Time(since restart) = 0 Seconds Time to Timeout = 3 Minutes 0 Seconds Percent Done = 100.6 %