##############ECHO OF PROBLEM################# ##############temp/expt_c_sin_newpostode.ode################# diff ( y , x , 1 ) = expt ( 2.0 , sin ( x ) ) * cos ( x ) * ln ( 2.0 ) ; ! // BEGIN FIRST INPUT BLOCK // # Comment 1 Digits=32; max_terms=30; // # Comment 2 ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK // # Comment 3 x_start=0.1; x_end=1.0; array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_max_iter=1000000; // # Comment 4 // 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 // # Comment 5 double exact_soln_y (double x) { // # Comment 6 return(expt(2.0,sin(x))); // # Comment 7 } // 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 = 0.9 estimated_steps = 900000.0000000001 step_error = 1.111111111111111e-16 est_needed_step_err = 1.111111111111111e-16 opt_iter = 1 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.517636384766837e-168 estimated_step_error = 2.517636384766837e-168 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 = 1.689557032224658e-160 estimated_step_error = 1.689557032224658e-160 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 = 1.133842336015975e-152 estimated_step_error = 1.133842336015975e-152 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 = 7.609084496039723e-145 estimated_step_error = 7.609084496039723e-145 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 = 5.106366654305633e-137 estimated_step_error = 5.106366654305633e-137 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 = 3.426819939899632e-129 estimated_step_error = 3.426819939899632e-129 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 = 2.299693606561298e-121 estimated_step_error = 2.299693606561298e-121 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 = 1.543289763369037e-113 estimated_step_error = 1.543289763369037e-113 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 = 1.035672830600493e-105 estimated_step_error = 1.035672830600493e-105 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 = 6.950129714308291e-98 estimated_step_error = 6.950129714308291e-98 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 = 4.663947690685024e-90 estimated_step_error = 4.663947690685024e-90 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 = 3.129646472987142e-82 estimated_step_error = 3.129646472987142e-82 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 = 2.099899574678062e-74 estimated_step_error = 2.099899574678062e-74 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 = 1.408720251788462e-66 estimated_step_error = 1.408720251788462e-66 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 = 9.44704241462449e-59 estimated_step_error = 9.44704241462449e-59 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 = 6.330708196557339e-51 estimated_step_error = 6.330708196557339e-51 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 = 4.236054799514912e-43 estimated_step_error = 4.236054799514912e-43 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 = 2.825559663661935e-35 estimated_step_error = 2.825559663661935e-35 best_h = 0.1 START of Soultion TOP MAIN SOLVE Loop x[1] = 0.1 y[1] (analytic) = 1.071649715448469 y[1] (numeric) = 1.071649715448469 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.427 Order of pole (six term test) = 10.53 TOP MAIN SOLVE Loop x[1] = 0.11 y[1] (analytic) = 1.079062404081896 y[1] (numeric) = 1.079062404081896 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.428 Order of pole (six term test) = 10.57 TOP MAIN SOLVE Loop x[1] = 0.12 y[1] (analytic) = 1.086518099335655 y[1] (numeric) = 1.086518099335655 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.428 Order of pole (six term test) = 10.6 TOP MAIN SOLVE Loop x[1] = 0.13 y[1] (analytic) = 1.094016231209132 y[1] (numeric) = 1.094016231209132 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.428 Order of pole (six term test) = 10.62 TOP MAIN SOLVE Loop x[1] = 0.14 y[1] (analytic) = 1.10155621012214 y[1] (numeric) = 1.10155621012214 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.428 Order of pole (six term test) = 10.65 TOP MAIN SOLVE Loop x[1] = 0.15 y[1] (analytic) = 1.109137426727026 y[1] (numeric) = 1.109137426727026 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.427 Order of pole (six term test) = 10.67 TOP MAIN SOLVE Loop x[1] = 0.16 y[1] (analytic) = 1.116759251727388 y[1] (numeric) = 1.116759251727388 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.426 Order of pole (six term test) = 10.68 TOP MAIN SOLVE Loop x[1] = 0.17 y[1] (analytic) = 1.12442103570366 y[1] (numeric) = 1.12442103570366 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.425 Order of pole (six term test) = 10.7 TOP MAIN SOLVE Loop x[1] = 0.18 y[1] (analytic) = 1.132122108945875 y[1] (numeric) = 1.132122108945875 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.423 Order of pole (six term test) = 10.71 TOP MAIN SOLVE Loop x[1] = 0.1900000000000001 y[1] (analytic) = 1.13986178129386 y[1] (numeric) = 1.139861781293861 absolute error = 2.220446049250313e-16 relative error = 1.94799587607006e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.421 Order of pole (six term test) = 10.71 TOP MAIN SOLVE Loop x[1] = 0.2000000000000001 y[1] (analytic) = 1.147639341985178 y[1] (numeric) = 1.147639341985178 absolute error = 2.220446049250313e-16 relative error = 1.93479429296089e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.419 Order of pole (six term test) = 10.72 TOP MAIN SOLVE Loop x[1] = 0.2100000000000001 y[1] (analytic) = 1.155454059511069 y[1] (numeric) = 1.155454059511069 absolute error = 2.220446049250313e-16 relative error = 1.921708639969551e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.004049 Order of pole (three term test) = -0.9198 Radius of convergence (six term test) for eq 1 = 4.416 Order of pole (six term test) = 10.72 TOP MAIN SOLVE Loop x[1] = 0.2200000000000001 y[1] (analytic) = 1.163305181480704 y[1] (numeric) = 1.163305181480704 absolute error = 2.220446049250313e-16 relative error = 1.908739069161572e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.01314 Order of pole (three term test) = -1.195 Radius of convergence (six term test) for eq 1 = 4.414 Order of pole (six term test) = 10.71 TOP MAIN SOLVE Loop x[1] = 0.2300000000000001 y[1] (analytic) = 1.171191934494022 y[1] (numeric) = 1.171191934494022 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02146 Order of pole (three term test) = -1.763 Radius of convergence (six term test) for eq 1 = 4.411 Order of pole (six term test) = 10.71 TOP MAIN SOLVE Loop x[1] = 0.2400000000000001 y[1] (analytic) = 1.179113524023434 y[1] (numeric) = 1.179113524023434 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02883 Order of pole (three term test) = -2.612 Radius of convergence (six term test) for eq 1 = 4.407 Order of pole (six term test) = 10.7 TOP MAIN SOLVE Loop x[1] = 0.2500000000000001 y[1] (analytic) = 1.187069134304685 y[1] (numeric) = 1.187069134304685 absolute error = 2.220446049250313e-16 relative error = 1.870527996291403e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03511 Order of pole (three term test) = -3.722 Radius of convergence (six term test) for eq 1 = 4.404 Order of pole (six term test) = 10.69 TOP MAIN SOLVE Loop x[1] = 0.2600000000000001 y[1] (analytic) = 1.19505792823716 y[1] (numeric) = 1.19505792823716 absolute error = 2.220446049250313e-16 relative error = 1.858023780090486e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04014 Order of pole (three term test) = -5.071 Radius of convergence (six term test) for eq 1 = 4.401 Order of pole (six term test) = 10.68 TOP MAIN SOLVE Loop x[1] = 0.2700000000000001 y[1] (analytic) = 1.2030790472939 y[1] (numeric) = 1.2030790472939 absolute error = 2.220446049250313e-16 relative error = 1.845636040495252e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04382 Order of pole (three term test) = -6.629 Radius of convergence (six term test) for eq 1 = 4.397 Order of pole (six term test) = 10.67 TOP MAIN SOLVE Loop x[1] = 0.2800000000000001 y[1] (analytic) = 1.21113161144163 y[1] (numeric) = 1.21113161144163 absolute error = 4.440892098500626e-16 relative error = 3.666729574678147e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04607 Order of pole (three term test) = -8.362 Radius of convergence (six term test) for eq 1 = 4.394 Order of pole (six term test) = 10.66 TOP MAIN SOLVE Loop x[1] = 0.2900000000000001 y[1] (analytic) = 1.219214719071062 y[1] (numeric) = 1.219214719071062 absolute error = 2.220446049250313e-16 relative error = 1.821210008801488e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04683 Order of pole (three term test) = -10.23 Radius of convergence (six term test) for eq 1 = 4.39 Order of pole (six term test) = 10.65 TOP MAIN SOLVE Loop x[1] = 0.3000000000000002 y[1] (analytic) = 1.22732744693776 y[1] (numeric) = 1.22732744693776 absolute error = 2.220446049250313e-16 relative error = 1.809171671985688e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04608 Order of pole (three term test) = -12.19 Radius of convergence (six term test) for eq 1 = 4.387 Order of pole (six term test) = 10.64 TOP MAIN SOLVE Loop x[1] = 0.3100000000000002 y[1] (analytic) = 1.23546885011383 y[1] (numeric) = 1.23546885011383 absolute error = 2.220446049250313e-16 relative error = 1.797249723492204e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04382 Order of pole (three term test) = -14.2 Radius of convergence (six term test) for eq 1 = 4.384 Order of pole (six term test) = 10.64 TOP MAIN SOLVE Loop x[1] = 0.3200000000000002 y[1] (analytic) = 1.243637961950721 y[1] (numeric) = 1.243637961950721 absolute error = 2.220446049250313e-16 relative error = 1.785444089988544e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04011 Order of pole (three term test) = -16.21 Radius of convergence (six term test) for eq 1 = 4.381 Order of pole (six term test) = 10.63 TOP MAIN SOLVE Loop x[1] = 0.3300000000000002 y[1] (analytic) = 1.251833794053388 y[1] (numeric) = 1.251833794053388 absolute error = 2.220446049250313e-16 relative error = 1.773754678774565e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03502 Order of pole (three term test) = -18.17 Radius of convergence (six term test) for eq 1 = 4.379 Order of pole (six term test) = 10.63 TOP MAIN SOLVE Loop x[1] = 0.3400000000000002 y[1] (analytic) = 1.260055336266098 y[1] (numeric) = 1.260055336266098 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02867 Order of pole (three term test) = -20.03 Radius of convergence (six term test) for eq 1 = 4.376 Order of pole (six term test) = 10.63 TOP MAIN SOLVE Loop x[1] = 0.3500000000000002 y[1] (analytic) = 1.268301556670124 y[1] (numeric) = 1.268301556670124 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0212 Order of pole (three term test) = -21.76 Radius of convergence (six term test) for eq 1 = 4.374 Order of pole (six term test) = 10.63 TOP MAIN SOLVE Loop x[1] = 0.3600000000000002 y[1] (analytic) = 1.276571401593593 y[1] (numeric) = 1.276571401593593 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0128 Order of pole (three term test) = -23.29 Radius of convergence (six term test) for eq 1 = 4.373 Order of pole (six term test) = 10.64 TOP MAIN SOLVE Loop x[1] = 0.3700000000000002 y[1] (analytic) = 1.284863795633735 y[1] (numeric) = 1.284863795633735 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.003647 Order of pole (three term test) = -24.6 Radius of convergence (six term test) for eq 1 = 4.372 Order of pole (six term test) = 10.65 TOP MAIN SOLVE Loop x[1] = 0.3800000000000002 y[1] (analytic) = 1.29317764169178 y[1] (numeric) = 1.29317764169178 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.371 Order of pole (six term test) = 10.67 TOP MAIN SOLVE Loop x[1] = 0.3900000000000002 y[1] (analytic) = 1.301511821020738 y[1] (numeric) = 1.301511821020738 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.37 Order of pole (six term test) = 10.68 TOP MAIN SOLVE Loop x[1] = 0.4000000000000002 y[1] (analytic) = 1.309865193286305 y[1] (numeric) = 1.309865193286305 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.37 Order of pole (six term test) = 10.71 TOP MAIN SOLVE Loop x[1] = 0.4100000000000003 y[1] (analytic) = 1.318236596641114 y[1] (numeric) = 1.318236596641113 absolute error = 2.220446049250313e-16 relative error = 1.684406315913276e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.37 Order of pole (six term test) = 10.73 TOP MAIN SOLVE Loop x[1] = 0.4200000000000003 y[1] (analytic) = 1.326624847812557 y[1] (numeric) = 1.326624847812557 absolute error = 2.220446049250313e-16 relative error = 1.673755811909869e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.371 Order of pole (six term test) = 10.76 TOP MAIN SOLVE Loop x[1] = 0.4300000000000003 y[1] (analytic) = 1.335028742204393 y[1] (numeric) = 1.335028742204393 absolute error = 2.220446049250313e-16 relative error = 1.663219658914551e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.371 Order of pole (six term test) = 10.79 TOP MAIN SOLVE Loop x[1] = 0.4400000000000003 y[1] (analytic) = 1.343447054012336 y[1] (numeric) = 1.343447054012336 absolute error = 2.220446049250313e-16 relative error = 1.652797587086691e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.372 Order of pole (six term test) = 10.82 TOP MAIN SOLVE Loop x[1] = 0.4500000000000003 y[1] (analytic) = 1.351878536353841 y[1] (numeric) = 1.35187853635384 absolute error = 2.220446049250313e-16 relative error = 1.6424893136029e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.374 Order of pole (six term test) = 10.85 TOP MAIN SOLVE Loop x[1] = 0.4600000000000003 y[1] (analytic) = 1.360321921412257 y[1] (numeric) = 1.360321921412257 absolute error = 2.220446049250313e-16 relative error = 1.632294543151295e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.375 Order of pole (six term test) = 10.89 TOP MAIN SOLVE Loop x[1] = 0.4700000000000003 y[1] (analytic) = 1.368775920595548 y[1] (numeric) = 1.368775920595548 absolute error = 4.440892098500626e-16 relative error = 3.244425936838817e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.376 Order of pole (six term test) = 10.93 TOP MAIN SOLVE Loop x[1] = 0.4800000000000003 y[1] (analytic) = 1.377239224709727 y[1] (numeric) = 1.377239224709726 absolute error = 4.440892098500626e-16 relative error = 3.224488541151308e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.378 Order of pole (six term test) = 10.96 TOP MAIN SOLVE Loop x[1] = 0.4900000000000003 y[1] (analytic) = 1.385710504147195 y[1] (numeric) = 1.385710504147195 absolute error = 4.440892098500626e-16 relative error = 3.204776239488547e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.379 Order of pole (six term test) = 11 TOP MAIN SOLVE Loop x[1] = 0.5000000000000003 y[1] (analytic) = 1.394188409090117 y[1] (numeric) = 1.394188409090117 absolute error = 4.440892098500626e-16 relative error = 3.185288350947392e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.381 Order of pole (six term test) = 11.03 TOP MAIN SOLVE Loop x[1] = 0.5100000000000003 y[1] (analytic) = 1.402671569728978 y[1] (numeric) = 1.402671569728977 absolute error = 4.440892098500626e-16 relative error = 3.166024174396498e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.382 Order of pole (six term test) = 11.07 TOP MAIN SOLVE Loop x[1] = 0.5200000000000004 y[1] (analytic) = 1.411158596496457 y[1] (numeric) = 1.411158596496457 absolute error = 4.440892098500626e-16 relative error = 3.146982989386322e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.383 Order of pole (six term test) = 11.1 TOP MAIN SOLVE Loop x[1] = 0.5300000000000004 y[1] (analytic) = 1.419648080316736 y[1] (numeric) = 1.419648080316735 absolute error = 2.220446049250313e-16 relative error = 1.56408202852281e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.384 Order of pole (six term test) = 11.13 TOP MAIN SOLVE Loop x[1] = 0.5400000000000004 y[1] (analytic) = 1.428138592870344 y[1] (numeric) = 1.428138592870343 absolute error = 2.220446049250313e-16 relative error = 1.554783310482179e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.384 Order of pole (six term test) = 11.15 TOP MAIN SOLVE Loop x[1] = 0.5500000000000004 y[1] (analytic) = 1.436628686874645 y[1] (numeric) = 1.436628686874645 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.385 Order of pole (six term test) = 11.18 TOP MAIN SOLVE Loop x[1] = 0.5600000000000004 y[1] (analytic) = 1.445116896380045 y[1] (numeric) = 1.445116896380045 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.385 Order of pole (six term test) = 11.2 TOP MAIN SOLVE Loop x[1] = 0.5700000000000004 y[1] (analytic) = 1.453601737081984 y[1] (numeric) = 1.453601737081984 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.384 Order of pole (six term test) = 11.22 TOP MAIN SOLVE Loop x[1] = 0.5800000000000004 y[1] (analytic) = 1.46208170664879 y[1] (numeric) = 1.46208170664879 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.384 Order of pole (six term test) = 11.23 TOP MAIN SOLVE Loop x[1] = 0.5900000000000004 y[1] (analytic) = 1.470555285065412 y[1] (numeric) = 1.470555285065412 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.383 Order of pole (six term test) = 11.24 TOP MAIN SOLVE Loop x[1] = 0.6000000000000004 y[1] (analytic) = 1.479020934993095 y[1] (numeric) = 1.479020934993095 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.381 Order of pole (six term test) = 11.24 TOP MAIN SOLVE Loop x[1] = 0.6100000000000004 y[1] (analytic) = 1.487477102144979 y[1] (numeric) = 1.487477102144979 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.38 Order of pole (six term test) = 11.24 TOP MAIN SOLVE Loop x[1] = 0.6200000000000004 y[1] (analytic) = 1.495922215677656 y[1] (numeric) = 1.495922215677656 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.008958 Order of pole (three term test) = -1.033 Radius of convergence (six term test) for eq 1 = 4.378 Order of pole (six term test) = 11.24 TOP MAIN SOLVE Loop x[1] = 0.6300000000000004 y[1] (analytic) = 1.504354688598653 y[1] (numeric) = 1.504354688598653 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.01784 Order of pole (three term test) = -1.48 Radius of convergence (six term test) for eq 1 = 4.375 Order of pole (six term test) = 11.24 TOP MAIN SOLVE Loop x[1] = 0.6400000000000005 y[1] (analytic) = 1.512772918189822 y[1] (numeric) = 1.512772918189822 absolute error = 2.220446049250313e-16 relative error = 1.46779865143758e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02595 Order of pole (three term test) = -2.224 Radius of convergence (six term test) for eq 1 = 4.373 Order of pole (six term test) = 11.23 TOP MAIN SOLVE Loop x[1] = 0.6500000000000005 y[1] (analytic) = 1.521175286446591 y[1] (numeric) = 1.521175286446591 absolute error = 2.220446049250313e-16 relative error = 1.459691114517902e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0331 Order of pole (three term test) = -3.248 Radius of convergence (six term test) for eq 1 = 4.37 Order of pole (six term test) = 11.22 TOP MAIN SOLVE Loop x[1] = 0.6600000000000005 y[1] (analytic) = 1.529560160533027 y[1] (numeric) = 1.529560160533027 absolute error = 2.220446049250313e-16 relative error = 1.451689254560948e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03911 Order of pole (three term test) = -4.528 Radius of convergence (six term test) for eq 1 = 4.367 Order of pole (six term test) = 11.21 TOP MAIN SOLVE Loop x[1] = 0.6700000000000005 y[1] (analytic) = 1.537925893252623 y[1] (numeric) = 1.537925893252623 absolute error = 2.220446049250313e-16 relative error = 1.443792616401171e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04386 Order of pole (three term test) = -6.033 Radius of convergence (six term test) for eq 1 = 4.364 Order of pole (six term test) = 11.19 TOP MAIN SOLVE Loop x[1] = 0.6800000000000005 y[1] (analytic) = 1.546270823534739 y[1] (numeric) = 1.546270823534739 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04721 Order of pole (three term test) = -7.727 Radius of convergence (six term test) for eq 1 = 4.361 Order of pole (six term test) = 11.18 TOP MAIN SOLVE Loop x[1] = 0.6900000000000005 y[1] (analytic) = 1.554593276936574 y[1] (numeric) = 1.554593276936574 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04908 Order of pole (three term test) = -9.569 Radius of convergence (six term test) for eq 1 = 4.358 Order of pole (six term test) = 11.16 TOP MAIN SOLVE Loop x[1] = 0.7000000000000005 y[1] (analytic) = 1.562891566160558 y[1] (numeric) = 1.562891566160558 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04943 Order of pole (three term test) = -11.51 Radius of convergence (six term test) for eq 1 = 4.355 Order of pole (six term test) = 11.15 TOP MAIN SOLVE Loop x[1] = 0.7100000000000005 y[1] (analytic) = 1.571163991587029 y[1] (numeric) = 1.571163991587029 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04824 Order of pole (three term test) = -13.51 Radius of convergence (six term test) for eq 1 = 4.352 Order of pole (six term test) = 11.14 TOP MAIN SOLVE Loop x[1] = 0.7200000000000005 y[1] (analytic) = 1.579408841822031 y[1] (numeric) = 1.579408841822031 absolute error = 2.220446049250313e-16 relative error = 1.405871608701881e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04552 Order of pole (three term test) = -15.51 Radius of convergence (six term test) for eq 1 = 4.35 Order of pole (six term test) = 11.12 TOP MAIN SOLVE Loop x[1] = 0.7300000000000005 y[1] (analytic) = 1.587624394260065 y[1] (numeric) = 1.587624394260065 absolute error = 2.220446049250313e-16 relative error = 1.398596580701434e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04135 Order of pole (three term test) = -17.46 Radius of convergence (six term test) for eq 1 = 4.347 Order of pole (six term test) = 11.11 TOP MAIN SOLVE Loop x[1] = 0.7400000000000005 y[1] (analytic) = 1.595808915661618 y[1] (numeric) = 1.595808915661618 absolute error = 2.220446049250313e-16 relative error = 1.391423514092677e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03582 Order of pole (three term test) = -19.31 Radius of convergence (six term test) for eq 1 = 4.345 Order of pole (six term test) = 11.11 TOP MAIN SOLVE Loop x[1] = 0.7500000000000006 y[1] (analytic) = 1.603960662745242 y[1] (numeric) = 1.603960662745241 absolute error = 2.220446049250313e-16 relative error = 1.384351936318646e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02906 Order of pole (three term test) = -21.01 Radius of convergence (six term test) for eq 1 = 4.343 Order of pole (six term test) = 11.1 TOP MAIN SOLVE Loop x[1] = 0.7600000000000006 y[1] (analytic) = 1.612077882793985 y[1] (numeric) = 1.612077882793985 absolute error = 2.220446049250313e-16 relative error = 1.377381374032581e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02126 Order of pole (three term test) = -22.51 Radius of convergence (six term test) for eq 1 = 4.341 Order of pole (six term test) = 11.1 TOP MAIN SOLVE Loop x[1] = 0.7700000000000006 y[1] (analytic) = 1.62015881427592 y[1] (numeric) = 1.62015881427592 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.01261 Order of pole (three term test) = -23.77 Radius of convergence (six term test) for eq 1 = 4.34 Order of pole (six term test) = 11.11 TOP MAIN SOLVE Loop x[1] = 0.7800000000000006 y[1] (analytic) = 1.628201687478524 y[1] (numeric) = 1.628201687478524 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.003325 Order of pole (three term test) = -24.76 Radius of convergence (six term test) for eq 1 = 4.339 Order of pole (six term test) = 11.11 TOP MAIN SOLVE Loop x[1] = 0.7900000000000006 y[1] (analytic) = 1.636204725156627 y[1] (numeric) = 1.636204725156627 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.338 Order of pole (six term test) = 11.12 TOP MAIN SOLVE Loop x[1] = 0.8000000000000006 y[1] (analytic) = 1.644166143193653 y[1] (numeric) = 1.644166143193653 absolute error = 2.220446049250313e-16 relative error = 1.350499801034271e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.338 Order of pole (six term test) = 11.14 TOP MAIN SOLVE Loop x[1] = 0.8100000000000006 y[1] (analytic) = 1.652084151275835 y[1] (numeric) = 1.652084151275835 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.338 Order of pole (six term test) = 11.15 TOP MAIN SOLVE Loop x[1] = 0.8200000000000006 y[1] (analytic) = 1.659956953579088 y[1] (numeric) = 1.659956953579088 absolute error = 2.220446049250313e-16 relative error = 1.337652789406819e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.339 Order of pole (six term test) = 11.17 TOP MAIN SOLVE Loop x[1] = 0.8300000000000006 y[1] (analytic) = 1.667782749468193 y[1] (numeric) = 1.667782749468192 absolute error = 2.220446049250313e-16 relative error = 1.331376073987064e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.34 Order of pole (six term test) = 11.2 TOP MAIN SOLVE Loop x[1] = 0.8400000000000006 y[1] (analytic) = 1.675559734207942 y[1] (numeric) = 1.675559734207942 absolute error = 2.220446049250313e-16 relative error = 1.325196591871996e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.341 Order of pole (six term test) = 11.22 TOP MAIN SOLVE Loop x[1] = 0.8500000000000006 y[1] (analytic) = 1.683286099685869 y[1] (numeric) = 1.683286099685868 absolute error = 2.220446049250313e-16 relative error = 1.319113874738637e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.342 Order of pole (six term test) = 11.25 TOP MAIN SOLVE Loop x[1] = 0.8600000000000007 y[1] (analytic) = 1.690960035146165 y[1] (numeric) = 1.690960035146165 absolute error = 2.220446049250313e-16 relative error = 1.313127456059823e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.344 Order of pole (six term test) = 11.28 TOP MAIN SOLVE Loop x[1] = 0.8700000000000007 y[1] (analytic) = 1.698579727934395 y[1] (numeric) = 1.698579727934395 absolute error = 2.220446049250313e-16 relative error = 1.307236871330466e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.346 Order of pole (six term test) = 11.32 TOP MAIN SOLVE Loop x[1] = 0.8800000000000007 y[1] (analytic) = 1.70614336425257 y[1] (numeric) = 1.70614336425257 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.347 Order of pole (six term test) = 11.35 TOP MAIN SOLVE Loop x[1] = 0.8900000000000007 y[1] (analytic) = 1.713649129924145 y[1] (numeric) = 1.713649129924145 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.349 Order of pole (six term test) = 11.38 TOP MAIN SOLVE Loop x[1] = 0.9000000000000007 y[1] (analytic) = 1.721095211168502 y[1] (numeric) = 1.721095211168502 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.351 Order of pole (six term test) = 11.41 TOP MAIN SOLVE Loop x[1] = 0.9100000000000007 y[1] (analytic) = 1.728479795384424 y[1] (numeric) = 1.728479795384424 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.352 Order of pole (six term test) = 11.45 TOP MAIN SOLVE Loop x[1] = 0.9200000000000007 y[1] (analytic) = 1.735801071942102 y[1] (numeric) = 1.735801071942102 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.354 Order of pole (six term test) = 11.47 TOP MAIN SOLVE Loop x[1] = 0.9300000000000007 y[1] (analytic) = 1.743057232983152 y[1] (numeric) = 1.743057232983152 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.355 Order of pole (six term test) = 11.5 TOP MAIN SOLVE Loop x[1] = 0.9400000000000007 y[1] (analytic) = 1.750246474228157 y[1] (numeric) = 1.750246474228157 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.356 Order of pole (six term test) = 11.53 TOP MAIN SOLVE Loop x[1] = 0.9500000000000007 y[1] (analytic) = 1.757366995791177 y[1] (numeric) = 1.757366995791177 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.357 Order of pole (six term test) = 11.55 TOP MAIN SOLVE Loop x[1] = 0.9600000000000007 y[1] (analytic) = 1.764417003000718 y[1] (numeric) = 1.764417003000718 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.358 Order of pole (six term test) = 11.56 TOP MAIN SOLVE Loop x[1] = 0.9700000000000008 y[1] (analytic) = 1.771394707226579 y[1] (numeric) = 1.771394707226579 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.358 Order of pole (six term test) = 11.58 TOP MAIN SOLVE Loop x[1] = 0.9800000000000008 y[1] (analytic) = 1.778298326712034 y[1] (numeric) = 1.778298326712034 absolute error = 2.220446049250313e-16 relative error = 1.248635291332576e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.358 Order of pole (six term test) = 11.59 TOP MAIN SOLVE Loop x[1] = 0.9900000000000008 y[1] (analytic) = 1.78512608741076 y[1] (numeric) = 1.785126087410761 absolute error = 2.220446049250313e-16 relative error = 1.243859503768142e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.357 Order of pole (six term test) = 11.59 Finished! diff ( y , x , 1 ) = expt ( 2.0 , sin ( x ) ) * cos ( x ) * ln ( 2.0 ) ; Iterations = 90 Total Elapsed Time = 0 Seconds Elapsed Time(since restart) = 0 Seconds Time to Timeout = 3 Minutes 0 Seconds Percent Done = 101.1 %