##############ECHO OF PROBLEM################# ##############temp/expt_lin_lin_newpostode.ode################# diff ( y , x , 1 ) = expt ( 2.0 * x + 1.0 , 3.0 * x + 2.0 ) * ( 3.0 * ln ( 2.0 * x + 1.0 ) + ( 2.0 * ( 3.0 * x + 2.0 ) ) / ( 2.0 * x + 1.0 ) ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=0.1; x_end=1.0; array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_type_given_pole=0; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_desired_digits_correct=10; glob_display_interval=0.01; glob_look_poles=true; glob_max_iter=100000000; glob_max_minutes=10.0; glob_subiter_method=3; /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y (double x) { return(expt(2.0*x+1.0,3.0*x+2.0)); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Optimize min_size = 0 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 1e-06 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 0.9 estimated_steps = 900000.0000000001 step_error = 3.513641844631533e-15 est_needed_step_err = 3.513641844631533e-15 opt_iter = 1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 1.520956754552532 glob_desired_digits_correct = 10 estimated_h = 1e-06 estimated_answer = 1.520956754552532 desired_abs_gbl_error = 1.520956754552532e-10 range = 0.9 estimated_steps = 900000.0000000001 step_error = 5.344097296670747e-15 est_needed_step_err = 5.344097296670747e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.059527025082972e-152 estimated_step_error = 1.059527025082972e-152 Double H and LOOP opt_iter = 2 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 1.520956754552532 glob_desired_digits_correct = 10 estimated_h = 2e-06 estimated_answer = 1.520956754552532 desired_abs_gbl_error = 1.520956754552532e-10 range = 0.9 estimated_steps = 450000.0000000001 step_error = 7.557694875593163e-15 est_needed_step_err = 7.557694875593163e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.473230175068735e-142 estimated_step_error = 1.473230175068735e-142 Double H and LOOP opt_iter = 3 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 1.520956754552532 glob_desired_digits_correct = 10 estimated_h = 4e-06 estimated_answer = 1.520956754552532 desired_abs_gbl_error = 1.520956754552532e-10 range = 0.9 estimated_steps = 225000 step_error = 1.068819459334149e-14 est_needed_step_err = 1.068819459334149e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 9.886657497008343e-135 estimated_step_error = 9.886657497008343e-135 Double H and LOOP opt_iter = 4 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 1.520956754552532 glob_desired_digits_correct = 10 estimated_h = 8e-06 estimated_answer = 1.520956754552532 desired_abs_gbl_error = 1.520956754552532e-10 range = 0.9 estimated_steps = 112500 step_error = 1.511538975118633e-14 est_needed_step_err = 1.511538975118633e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 6.634792866711534e-127 estimated_step_error = 6.634792866711534e-127 Double H and LOOP opt_iter = 5 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 1.520956754552532 glob_desired_digits_correct = 10 estimated_h = 1.6e-05 estimated_answer = 1.520956754552532 desired_abs_gbl_error = 1.520956754552532e-10 range = 0.9 estimated_steps = 56250.00000000001 step_error = 2.137638918668299e-14 est_needed_step_err = 2.137638918668299e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.45249296148839e-119 estimated_step_error = 4.45249296148839e-119 Double H and LOOP opt_iter = 6 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 1.520956754552532 glob_desired_digits_correct = 10 estimated_h = 3.2e-05 estimated_answer = 1.520956754552532 desired_abs_gbl_error = 1.520956754552532e-10 range = 0.9 estimated_steps = 28125 step_error = 3.023077950237265e-14 est_needed_step_err = 3.023077950237265e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.987962203500038e-111 estimated_step_error = 2.987962203500038e-111 Double H and LOOP opt_iter = 7 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 1.520956754552532 glob_desired_digits_correct = 10 estimated_h = 6.4e-05 estimated_answer = 1.520956754552532 desired_abs_gbl_error = 1.520956754552532e-10 range = 0.9 estimated_steps = 14062.5 step_error = 4.275277837336597e-14 est_needed_step_err = 4.275277837336597e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.005113350232089e-103 estimated_step_error = 2.005113350232089e-103 Double H and LOOP opt_iter = 8 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 1.520956754552532 glob_desired_digits_correct = 10 estimated_h = 0.000128 estimated_answer = 1.520956754552532 desired_abs_gbl_error = 1.520956754552532e-10 range = 0.9 estimated_steps = 7031.250000000001 step_error = 6.04615590047453e-14 est_needed_step_err = 6.04615590047453e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.34550929156982e-95 estimated_step_error = 1.34550929156982e-95 Double H and LOOP opt_iter = 9 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 1.520956754552532 glob_desired_digits_correct = 10 estimated_h = 0.000256 estimated_answer = 1.520956754552532 desired_abs_gbl_error = 1.520956754552532e-10 range = 0.9 estimated_steps = 3515.625 step_error = 8.550555674673194e-14 est_needed_step_err = 8.550555674673194e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 9.028224840713993e-88 estimated_step_error = 9.028224840713993e-88 Double H and LOOP opt_iter = 10 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 1.520956754552532 glob_desired_digits_correct = 10 estimated_h = 0.000512 estimated_answer = 1.520956754552532 desired_abs_gbl_error = 1.520956754552532e-10 range = 0.9 estimated_steps = 1757.8125 step_error = 1.209231180094906e-13 est_needed_step_err = 1.209231180094906e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 6.05694789843565e-80 estimated_step_error = 6.05694789843565e-80 Double H and LOOP opt_iter = 11 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 1.520956754552532 glob_desired_digits_correct = 10 estimated_h = 0.001024 estimated_answer = 1.520956754552532 desired_abs_gbl_error = 1.520956754552532e-10 range = 0.9 estimated_steps = 878.9062500000001 step_error = 1.710111134934639e-13 est_needed_step_err = 1.710111134934639e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.062346914119596e-72 estimated_step_error = 4.062346914119596e-72 Double H and LOOP opt_iter = 12 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 1.520956754552532 glob_desired_digits_correct = 10 estimated_h = 0.002048 estimated_answer = 1.520956754552532 desired_abs_gbl_error = 1.520956754552532e-10 range = 0.9 estimated_steps = 439.4531250000001 step_error = 2.418462360189812e-13 est_needed_step_err = 2.418462360189812e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.72297666136422e-64 estimated_step_error = 2.72297666136422e-64 Double H and LOOP opt_iter = 13 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 1.520956754552532 glob_desired_digits_correct = 10 estimated_h = 0.004096 estimated_answer = 1.520956754552532 desired_abs_gbl_error = 1.520956754552532e-10 range = 0.9 estimated_steps = 219.7265625 step_error = 3.420222269869278e-13 est_needed_step_err = 3.420222269869278e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.823054603568255e-56 estimated_step_error = 1.823054603568255e-56 Double H and LOOP opt_iter = 14 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 1.520956754552532 glob_desired_digits_correct = 10 estimated_h = 0.008192 estimated_answer = 1.520956754552532 desired_abs_gbl_error = 1.520956754552532e-10 range = 0.9 estimated_steps = 109.86328125 step_error = 4.836924720379624e-13 est_needed_step_err = 4.836924720379624e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.217695094044579e-48 estimated_step_error = 1.217695094044579e-48 Double H and LOOP opt_iter = 15 SETTING H FOR DISPLAY INTERVAL NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 START of Soultion TOP MAIN SOLVE Loop x[1] = 0.1 y[1] (analytic) = 1.520956754552532 y[1] (numeric) = 1.520956754552532 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 12 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.11 y[1] (analytic) = 1.589345825194831 y[1] (numeric) = 1.590199569537084 absolute error = 0.0008537443422531599 relative error = 0.05371671342506613 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 4 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.12 y[1] (analytic) = 1.661403714019255 y[1] (numeric) = 1.662257458364823 absolute error = 0.0008537443455678417 relative error = 0.05138692891822603 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 4 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.13 y[1] (analytic) = 1.737343136278231 y[1] (numeric) = 1.738196880627062 absolute error = 0.0008537443488312313 relative error = 0.04914080189479083 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 4 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.14 y[1] (analytic) = 1.817389968552499 y[1] (numeric) = 1.818243712904547 absolute error = 0.0008537443520484356 relative error = 0.0469763983966754 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 4 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.15 y[1] (analytic) = 1.901784104483787 y[1] (numeric) = 1.902637848839011 absolute error = 0.0008537443552236734 relative error = 0.04489175996427894 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 4 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.16 y[1] (analytic) = 1.990780368343133 y[1] (numeric) = 1.991634112701495 absolute error = 0.0008537443583622739 relative error = 0.04288490945250881 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 4 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.17 y[1] (analytic) = 2.084649490499871 y[1] (numeric) = 2.085503234861338 absolute error = 0.0008537443614673457 relative error = 0.04095385652878409 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 4 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.18 y[1] (analytic) = 2.183679149148486 y[1] (numeric) = 2.18453289351303 absolute error = 0.0008537443645444398 relative error = 0.03909660285382827 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 4 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1900000000000001 y[1] (analytic) = 2.288175082964628 y[1] (numeric) = 2.289028827332225 absolute error = 0.0008537443675966649 relative error = 0.03731114694643595 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 4 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2000000000000001 y[1] (analytic) = 2.398462279699141 y[1] (numeric) = 2.399316024069768 absolute error = 0.0008537443706271297 relative error = 0.03559548873681775 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 4 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2100000000000001 y[1] (analytic) = 2.51488624608183 y[1] (numeric) = 2.51573999045547 absolute error = 0.000853744373640275 relative error = 0.03394763381327489 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 4 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2200000000000001 y[1] (analytic) = 2.637814364796764 y[1] (numeric) = 2.638668109173403 absolute error = 0.0008537443766392094 relative error = 0.032365597368524 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 4 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2300000000000001 y[1] (analytic) = 2.767637344710172 y[1] (numeric) = 2.768491089089799 absolute error = 0.0008537443796265975 relative error = 0.03084740785343038 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 4 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2400000000000001 y[1] (analytic) = 2.904770770982803 y[1] (numeric) = 2.905624515365409 absolute error = 0.0008537443826064361 relative error = 0.02939111034629351 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 4 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2500000000000001 y[1] (analytic) = 3.049656762183228 y[1] (numeric) = 3.050510506568809 absolute error = 0.0008537443855809457 relative error = 0.02799476964646198 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 4 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2600000000000001 y[1] (analytic) = 3.20276574203967 y[1] (numeric) = 3.203619486428224 absolute error = 0.0008537443885541229 relative error = 0.0266564731022263 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 4 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2700000000000001 y[1] (analytic) = 3.364598334028274 y[1] (numeric) = 3.365452078419802 absolute error = 0.0008537443915273002 relative error = 0.02537433318244417 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 4 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2800000000000001 y[1] (analytic) = 3.535687387598347 y[1] (numeric) = 3.536541131992853 absolute error = 0.0008537443945053624 relative error = 0.02414648980280118 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 4 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2900000000000001 y[1] (analytic) = 3.716600145483188 y[1] (numeric) = 3.717453889880677 absolute error = 0.0008537443974887537 relative error = 0.02297111241644641 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 4 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3000000000000002 y[1] (analytic) = 3.907940562242244 y[1] (numeric) = 3.908794306642726 absolute error = 0.0008537444004823591 relative error = 0.02184640188059845 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 4 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3100000000000002 y[1] (analytic) = 4.110351784930288 y[1] (numeric) = 4.111205529333775 absolute error = 0.0008537444034875108 relative error = 0.02077059210886959 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 4 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3200000000000002 y[1] (analytic) = 4.324518807596051 y[1] (numeric) = 4.325372552002559 absolute error = 0.0008537444065082056 relative error = 0.01974195152090903 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 4 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3300000000000002 y[1] (analytic) = 4.551171312180908 y[1] (numeric) = 4.552025056590453 absolute error = 0.0008537444095448876 relative error = 0.01875878429932746 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 4 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3400000000000002 y[1] (analytic) = 4.791086709322269 y[1] (numeric) = 4.791940453734872 absolute error = 0.0008537444126028859 relative error = 0.01781943146513526 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 4 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3500000000000002 y[1] (analytic) = 5.04509339357172 y[1] (numeric) = 5.045947137987403 absolute error = 0.0008537444156830887 relative error = 0.01692227178134898 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 4 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3600000000000002 y[1] (analytic) = 5.314074228619903 y[1] (numeric) = 5.314927973038692 absolute error = 0.0008537444187890486 relative error = 0.0160657224957652 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 4 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3700000000000002 y[1] (analytic) = 5.598970279284925 y[1] (numeric) = 5.599824023706847 absolute error = 0.0008537444219225421 relative error = 0.01524823993228231 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 4 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3800000000000002 y[1] (analytic) = 5.900784808274874 y[1] (numeric) = 5.901638552699962 absolute error = 0.00085374442508801 relative error = 0.01446831994094709 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 4 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3900000000000002 y[1] (analytic) = 6.220587557085131 y[1] (numeric) = 6.221441301513416 absolute error = 0.0008537444282854523 relative error = 0.0137244982158165 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 4 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4000000000000002 y[1] (analytic) = 6.559519331844704 y[1] (numeric) = 6.560373076276226 absolute error = 0.0008537444315210863 relative error = 0.01301535049033831 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 4 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4100000000000003 y[1] (analytic) = 6.91879691649137 y[1] (numeric) = 6.919650660926163 absolute error = 0.0008537444347931356 relative error = 0.01233949261840862 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 4 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4200000000000003 y[1] (analytic) = 7.299718337341295 y[1] (numeric) = 7.300572081779405 absolute error = 0.000853744438110482 relative error = 0.01169558055059742 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 4 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4300000000000003 y[1] (analytic) = 7.703668504934999 y[1] (numeric) = 7.70452224937647 absolute error = 0.0008537444414704609 relative error = 0.01108231021264154 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 4 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4400000000000003 y[1] (analytic) = 8.132125260997721 y[1] (numeric) = 8.132979005442603 absolute error = 0.0008537444448819542 relative error = 0.01049841729537267 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 4 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4500000000000003 y[1] (analytic) = 8.586665860460114 y[1] (numeric) = 8.587519604908456 absolute error = 0.0008537444483422973 relative error = 0.009942676962354161 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 5 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4600000000000003 y[1] (analytic) = 9.068973920756072 y[1] (numeric) = 9.06982766520793 absolute error = 0.0008537444518577075 relative error = 0.009413903483653768 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 5 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4700000000000003 y[1] (analytic) = 9.580846873061938 y[1] (numeric) = 9.581700617517367 absolute error = 0.0008537444554281848 relative error = 0.008910949801615366 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 5 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4800000000000003 y[1] (analytic) = 10.12420395277864 y[1] (numeric) = 10.1250576972377 absolute error = 0.0008537444590626109 relative error = 0.008432707035976853 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 5 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4900000000000003 y[1] (analytic) = 10.70109476940126 y[1] (numeric) = 10.70194851386402 absolute error = 0.0008537444627592095 relative error = 0.007978103933818145 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 5 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5000000000000003 y[1] (analytic) = 11.31370849898478 y[1] (numeric) = 11.31456224345131 absolute error = 0.0008537444665233096 relative error = 0.007546106270989029 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 5 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5100000000000003 y[1] (analytic) = 11.96438374571854 y[1] (numeric) = 11.96523749018891 absolute error = 0.0008537444703673458 relative error = 0.007135716209979128 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 5 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5200000000000004 y[1] (analytic) = 12.65561912268369 y[1] (numeric) = 12.65647286715796 absolute error = 0.0008537444742717781 relative error = 0.006745971619369794 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 5 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5300000000000004 y[1] (analytic) = 13.39008460570895 y[1] (numeric) = 13.39093835018722 absolute error = 0.0008537444782721337 relative error = 0.006375945361152791 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 5 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5400000000000004 y[1] (analytic) = 14.17063371838212 y[1] (numeric) = 14.17148746286445 absolute error = 0.0008537444823364382 relative error = 0.006024744547796494 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 5 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5500000000000004 y[1] (analytic) = 15.00031661074165 y[1] (numeric) = 15.00117035522816 absolute error = 0.0008537444865091004 relative error = 0.005691509777185226 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 5 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5600000000000004 y[1] (analytic) = 15.88239409899226 y[1] (numeric) = 15.88324784348301 absolute error = 0.0008537444907528169 relative error = 0.00537541434516467 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 5 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5700000000000004 y[1] (analytic) = 16.82035273878563 y[1] (numeric) = 16.82120648328074 absolute error = 0.0008537444951102202 relative error = 0.00507566344397518 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 5 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5800000000000004 y[1] (analytic) = 17.81792101021691 y[1] (numeric) = 17.81877475471646 absolute error = 0.0008537444995511123 relative error = 0.004791493345725182 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 5 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5900000000000004 y[1] (analytic) = 18.87908669873781 y[1] (numeric) = 18.87994044324193 absolute error = 0.0008537445041199021 relative error = 0.00452217057818258 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 5 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6000000000000004 y[1] (analytic) = 20.00811556271843 y[1] (numeric) = 20.00896930722721 absolute error = 0.0008537445087775097 relative error = 0.004266991092196163 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 5 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6100000000000004 y[1] (analytic) = 21.20957138543626 y[1] (numeric) = 21.21042512994983 absolute error = 0.0008537445135736732 relative error = 0.004025279427192501 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 5 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6200000000000004 y[1] (analytic) = 22.48833751687847 y[1] (numeric) = 22.48919126139694 absolute error = 0.0008537445184657599 relative error = 0.003796387873603319 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 5 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6300000000000004 y[1] (analytic) = 23.8496400189536 y[1] (numeric) = 23.85049376347711 absolute error = 0.0008537445235141661 relative error = 0.00357969563832278 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 5 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6400000000000005 y[1] (analytic) = 25.29907253657402 y[1] (numeric) = 25.29992628110269 absolute error = 0.0008537445286656009 relative error = 0.003374608011544182 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 5 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6500000000000005 y[1] (analytic) = 26.84262302664006 y[1] (numeric) = 26.84347677117405 absolute error = 0.000853744533987566 relative error = 0.003180555540865973 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 5 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6600000000000005 y[1] (analytic) = 28.48670248729217 y[1] (numeric) = 28.48755623183159 absolute error = 0.0008537445394232179 relative error = 0.00299699321044291 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 5 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6700000000000005 y[1] (analytic) = 30.23817584095612 y[1] (numeric) = 30.23902958550117 absolute error = 0.000853744545043611 relative error = 0.002823399630764948 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 5 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6800000000000005 y[1] (analytic) = 32.10439513676095 y[1] (numeric) = 32.10524888131175 absolute error = 0.0008537445508025598 relative error = 0.002659276236682574 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 5 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6900000000000005 y[1] (analytic) = 34.09323525092619 y[1] (numeric) = 34.09408899548292 absolute error = 0.0008537445567284863 relative error = 0.002504146498403354 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 5 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7000000000000005 y[1] (analytic) = 36.21313227778046 y[1] (numeric) = 36.21398602234329 absolute error = 0.0008537445628320484 relative error = 0.002357555144037861 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 5 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7100000000000005 y[1] (analytic) = 38.4731248192654 y[1] (numeric) = 38.47397856383455 absolute error = 0.0008537445691487733 relative error = 0.002219067396161335 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 5 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7200000000000005 y[1] (analytic) = 40.88289839719625 y[1] (numeric) = 40.88375214177184 absolute error = 0.0008537445755862905 relative error = 0.002088268222305981 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 5 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7300000000000005 y[1] (analytic) = 43.4528332302878 y[1] (numeric) = 43.45368697487014 absolute error = 0.0008537445823364465 relative error = 0.00196476160210737 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 5 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7400000000000005 y[1] (analytic) = 46.19405563712718 y[1] (numeric) = 46.19490938171636 absolute error = 0.0008537445891860784 relative error = 0.001848169807588631 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 5 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7500000000000006 y[1] (analytic) = 49.11849334698982 y[1] (numeric) = 49.11934709158615 absolute error = 0.0008537445963341384 relative error = 0.001738132703507404 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 5 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7600000000000006 y[1] (analytic) = 52.23893502279579 y[1] (numeric) = 52.23978876739946 absolute error = 0.0008537446036669394 relative error = 0.001634307060996527 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 5 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7700000000000006 y[1] (analytic) = 55.56909432470814 y[1] (numeric) = 55.56994806931939 absolute error = 0.0008537446112484304 relative error = 0.001536365891190749 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 5 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7800000000000006 y[1] (analytic) = 59.12367886905307 y[1] (numeric) = 59.12453261367215 absolute error = 0.0008537446190786113 relative error = 0.001443997794808205 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 5 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7900000000000006 y[1] (analytic) = 62.91846446553978 y[1] (numeric) = 62.91931821016701 absolute error = 0.0008537446272214311 relative error = 0.00135690633023796 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 5 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8000000000000006 y[1] (analytic) = 66.9703750463615 y[1] (numeric) = 66.97122879099705 absolute error = 0.0008537446355489919 relative error = 0.001274809398869233 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 5 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8100000000000006 y[1] (analytic) = 71.29756873385305 y[1] (numeric) = 71.29842247849739 absolute error = 0.0008537446443313002 relative error = 0.001197438649722049 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 5 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8200000000000006 y[1] (analytic) = 75.91953052917872 y[1] (numeric) = 75.92038427383196 absolute error = 0.0008537446532415061 relative error = 0.001124538899662163 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 5 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8300000000000006 y[1] (analytic) = 80.857172143236 y[1] (numeric) = 80.85802588789858 absolute error = 0.0008537446625780376 relative error = 0.001055867574821508 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 5 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8400000000000006 y[1] (analytic) = 86.13293953285458 y[1] (numeric) = 86.13379327752678 absolute error = 0.0008537446721987862 relative error = 0.0009911941666325384 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8500000000000006 y[1] (analytic) = 91.77092875067571 y[1] (numeric) = 91.77178249535785 absolute error = 0.0008537446821463845 relative error = 0.0009302997079454734 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8600000000000007 y[1] (analytic) = 97.79701076613497 y[1] (numeric) = 97.79786451082747 absolute error = 0.0008537446924918868 relative error = 0.0008729762656380909 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8700000000000007 y[1] (analytic) = 104.2389659680242 y[1] (numeric) = 104.2398197127275 absolute error = 0.0008537447032921364 relative error = 0.0008190264507746812 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8800000000000007 y[1] (analytic) = 111.1266291165284 y[1] (numeric) = 111.1274828612427 absolute error = 0.0008537447143197596 relative error = 0.0007682629457108029 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8900000000000007 y[1] (analytic) = 118.4920455747773 y[1] (numeric) = 118.4928993195034 absolute error = 0.0008537447260579256 relative error = 0.0007205080492252529 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9000000000000007 y[1] (analytic) = 126.3696397172247 y[1] (numeric) = 126.3704934619627 absolute error = 0.0008537447379382002 relative error = 0.0006755932357238737 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9100000000000007 y[1] (analytic) = 134.7963964849783 y[1] (numeric) = 134.7972502297287 absolute error = 0.0008537447504579632 relative error = 0.00063335873415066 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9200000000000007 y[1] (analytic) = 143.8120571370552 y[1] (numeric) = 143.8129108818187 absolute error = 0.0008537447634466844 relative error = 0.000593653119524639 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9300000000000007 y[1] (analytic) = 153.4593303318878 y[1] (numeric) = 153.4601840766647 absolute error = 0.0008537447768617312 relative error = 0.0005563329222246246 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9400000000000007 y[1] (analytic) = 163.7841197658468 y[1] (numeric) = 163.7849735106377 absolute error = 0.000853744790873634 relative error = 0.0005212622518557881 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9500000000000007 y[1] (analytic) = 174.8357696956501 y[1] (numeric) = 174.8366234404556 absolute error = 0.000853744805539236 relative error = 0.0004883124357363568 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9600000000000007 y[1] (analytic) = 186.6673297799444 y[1] (numeric) = 186.6681835247649 absolute error = 0.0008537448205174769 relative error = 0.0004573616719775909 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9700000000000008 y[1] (analytic) = 199.3358407927809 y[1] (numeric) = 199.3366945376175 absolute error = 0.0008537448366041644 relative error = 0.0004282946976362734 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9800000000000008 y[1] (analytic) = 212.902642888931 y[1] (numeric) = 212.9034966337838 absolute error = 0.0008537448528329605 relative error = 0.0004010024681931027 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 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 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9900000000000008 y[1] (analytic) = 227.4337082387933 y[1] (numeric) = 227.4345619836634 absolute error = 0.0008537448700849382 relative error = 0.000375381853770133 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 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 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = expt ( 2.0 * x + 1.0 , 3.0 * x + 2.0 ) * ( 3.0 * ln ( 2.0 * x + 1.0 ) + ( 2.0 * ( 3.0 * x + 2.0 ) ) / ( 2.0 * x + 1.0 ) ) ; Iterations = 90 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 10 Minutes 0.0 Seconds Percent Done = 101.1 %