##############ECHO OF PROBLEM################# ##############temp/div_exp_exppostode.ode################# diff ( y , x , 1 ) = exp ( 0.1 * x ) / exp ( 0.2 * x ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=-5.0; x_end=5.0; array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_type_given_pole=3; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_desired_digits_correct=16; glob_max_minutes=3.0; glob_subiter_method=3; glob_max_iter=100000000; /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y (double x) { return(- 10.0 * (exp(0.1* x)/exp(0.2*x))); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Optimize min_size = 0 min_size = 1 glob_desired_digits_correct = 16 estimated_h = 1e-06 estimated_answer = 1 desired_abs_gbl_error = 1e-16 range = 10 estimated_steps = 10000000 step_error = 1.05409255338946e-21 est_needed_step_err = 1.05409255338946e-21 opt_iter = 1 NO POLE (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 = 16.48721270700128 glob_desired_digits_correct = 16 estimated_h = 1e-06 estimated_answer = 16.48721270700128 desired_abs_gbl_error = 1.648721270700128e-15 range = 10 estimated_steps = 10000000 step_error = 1.737904814059813e-20 est_needed_step_err = 1.737904814059813e-20 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 5.636828045356143e-208 estimated_step_error = 5.636828045356143e-208 Double H and LOOP opt_iter = 2 NO POLE (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 = 16.48721270700128 glob_desired_digits_correct = 16 estimated_h = 2e-06 estimated_answer = 16.48721270700128 desired_abs_gbl_error = 1.648721270700128e-15 range = 10 estimated_steps = 5000000 step_error = 2.45776855815688e-20 est_needed_step_err = 2.45776855815688e-20 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.782811254254842e-200 estimated_step_error = 3.782811254254842e-200 Double H and LOOP opt_iter = 3 NO POLE (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 = 16.48721270700128 glob_desired_digits_correct = 16 estimated_h = 4e-06 estimated_answer = 16.48721270700128 desired_abs_gbl_error = 1.648721270700128e-15 range = 10 estimated_steps = 2500000 step_error = 3.475809628119626e-20 est_needed_step_err = 3.475809628119626e-20 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.538601643060229e-192 estimated_step_error = 2.538601643060229e-192 Double H and LOOP opt_iter = 4 NO POLE (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 = 16.48721270700128 glob_desired_digits_correct = 16 estimated_h = 8e-06 estimated_answer = 16.48721270700128 desired_abs_gbl_error = 1.648721270700128e-15 range = 10 estimated_steps = 1250000 step_error = 4.915537116313759e-20 est_needed_step_err = 4.915537116313759e-20 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.703626701414161e-184 estimated_step_error = 1.703626701414161e-184 Double H and LOOP opt_iter = 5 NO POLE (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 = 16.48721270700128 glob_desired_digits_correct = 16 estimated_h = 1.6e-05 estimated_answer = 16.48721270700128 desired_abs_gbl_error = 1.648721270700128e-15 range = 10 estimated_steps = 625000 step_error = 6.951619256239252e-20 est_needed_step_err = 6.951619256239252e-20 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.143284495613513e-176 estimated_step_error = 1.143284495613513e-176 Double H and LOOP opt_iter = 6 NO POLE (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 = 16.48721270700128 glob_desired_digits_correct = 16 estimated_h = 3.2e-05 estimated_answer = 16.48721270700128 desired_abs_gbl_error = 1.648721270700128e-15 range = 10 estimated_steps = 312500 step_error = 9.831074232627519e-20 est_needed_step_err = 9.831074232627519e-20 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 7.672451963496331e-169 estimated_step_error = 7.672451963496331e-169 Double H and LOOP opt_iter = 7 NO POLE (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 = 16.48721270700128 glob_desired_digits_correct = 16 estimated_h = 6.4e-05 estimated_answer = 16.48721270700128 desired_abs_gbl_error = 1.648721270700128e-15 range = 10 estimated_steps = 156250 step_error = 1.39032385124785e-19 est_needed_step_err = 1.39032385124785e-19 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 5.148894804097448e-161 estimated_step_error = 5.148894804097448e-161 Double H and LOOP opt_iter = 8 NO POLE (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 = 16.48721270700128 glob_desired_digits_correct = 16 estimated_h = 0.000128 estimated_answer = 16.48721270700128 desired_abs_gbl_error = 1.648721270700128e-15 range = 10 estimated_steps = 78125 step_error = 1.966214846525504e-19 est_needed_step_err = 1.966214846525504e-19 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.455364073990898e-153 estimated_step_error = 3.455364073990898e-153 Double H and LOOP opt_iter = 9 NO POLE (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 = 16.48721270700128 glob_desired_digits_correct = 16 estimated_h = 0.000256 estimated_answer = 16.48721270700128 desired_abs_gbl_error = 1.648721270700128e-15 range = 10 estimated_steps = 39062.5 step_error = 2.780647702495701e-19 est_needed_step_err = 2.780647702495701e-19 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.318854587138813e-145 estimated_step_error = 2.318854587138813e-145 Double H and LOOP opt_iter = 10 NO POLE (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 = 16.48721270700128 glob_desired_digits_correct = 16 estimated_h = 0.000512 estimated_answer = 16.48721270700128 desired_abs_gbl_error = 1.648721270700128e-15 range = 10 estimated_steps = 19531.25 step_error = 3.932429693051007e-19 est_needed_step_err = 3.932429693051007e-19 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.556155642514532e-137 estimated_step_error = 1.556155642514532e-137 Double H and LOOP opt_iter = 11 NO POLE (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 = 16.48721270700128 glob_desired_digits_correct = 16 estimated_h = 0.001024 estimated_answer = 16.48721270700128 desired_abs_gbl_error = 1.648721270700128e-15 range = 10 estimated_steps = 9765.625 step_error = 5.561295404991401e-19 est_needed_step_err = 5.561295404991401e-19 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.044316590385986e-129 estimated_step_error = 1.044316590385986e-129 Double H and LOOP opt_iter = 12 NO POLE (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 = 16.48721270700128 glob_desired_digits_correct = 16 estimated_h = 0.002048 estimated_answer = 16.48721270700128 desired_abs_gbl_error = 1.648721270700128e-15 range = 10 estimated_steps = 4882.8125 step_error = 7.864859386102015e-19 est_needed_step_err = 7.864859386102015e-19 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 7.0082660678633e-122 estimated_step_error = 7.0082660678633e-122 Double H and LOOP opt_iter = 13 NO POLE (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 = 16.48721270700128 glob_desired_digits_correct = 16 estimated_h = 0.004096 estimated_answer = 16.48721270700128 desired_abs_gbl_error = 1.648721270700128e-15 range = 10 estimated_steps = 2441.40625 step_error = 1.11225908099828e-18 est_needed_step_err = 1.11225908099828e-18 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.703135618711724e-114 estimated_step_error = 4.703135618711724e-114 Double H and LOOP opt_iter = 14 NO POLE (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 = 16.48721270700128 glob_desired_digits_correct = 16 estimated_h = 0.008192 estimated_answer = 16.48721270700128 desired_abs_gbl_error = 1.648721270700128e-15 range = 10 estimated_steps = 1220.703125 step_error = 1.572971877220403e-18 est_needed_step_err = 1.572971877220403e-18 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.15617776962878e-106 estimated_step_error = 3.15617776962878e-106 Double H and LOOP opt_iter = 15 NO POLE (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 = 16.48721270700128 glob_desired_digits_correct = 16 estimated_h = 0.016384 estimated_answer = 16.48721270700128 desired_abs_gbl_error = 1.648721270700128e-15 range = 10 estimated_steps = 610.3515625 step_error = 2.224518161996561e-18 est_needed_step_err = 2.224518161996561e-18 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.118017181602035e-98 estimated_step_error = 2.118017181602035e-98 Double H and LOOP opt_iter = 16 NO POLE (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 = 16.48721270700128 glob_desired_digits_correct = 16 estimated_h = 0.032768 estimated_answer = 16.48721270700128 desired_abs_gbl_error = 1.648721270700128e-15 range = 10 estimated_steps = 305.17578125 step_error = 3.145943754440806e-18 est_needed_step_err = 3.145943754440806e-18 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.421299616400342e-90 estimated_step_error = 1.421299616400342e-90 Double H and LOOP opt_iter = 17 NO POLE (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 = 16.48721270700128 glob_desired_digits_correct = 16 estimated_h = 0.065536 estimated_answer = 16.48721270700128 desired_abs_gbl_error = 1.648721270700128e-15 range = 10 estimated_steps = 152.587890625 step_error = 4.449036323993121e-18 est_needed_step_err = 4.449036323993121e-18 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 9.53713834436789e-83 estimated_step_error = 9.53713834436789e-83 Double H and LOOP opt_iter = 18 SETTING H FOR MAX H SETTING H FOR DISPLAY INTERVAL NO POLE (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] = -5 y[1] (closed_form) = -16.48721270700128 y[1] (numeric) = -16.48721270700128 absolute error = 0 relative error = 0 % Desired digits = 16 Estimated correct digits = 14 Correct digits = 16 h = 0.1 NO POLE (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] = -4.9 y[1] (closed_form) = -16.32316219955379 y[1] (numeric) = -16.32316219955379 absolute error = 3.552713678800501e-15 relative error = 2.176486170613203e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -4.800000000000001 y[1] (closed_form) = -16.16074402192894 y[1] (numeric) = -16.16074402192893 absolute error = 3.552713678800501e-15 relative error = 2.198360220284246e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -4.700000000000001 y[1] (closed_form) = -15.99994193217361 y[1] (numeric) = -15.9999419321736 absolute error = 1.77635683940025e-15 relative error = 1.110227053904646e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -4.600000000000001 y[1] (closed_form) = -15.84073984994482 y[1] (numeric) = -15.84073984994482 absolute error = 1.77635683940025e-15 relative error = 1.121385021297751e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -4.500000000000002 y[1] (closed_form) = -15.68312185490169 y[1] (numeric) = -15.68312185490169 absolute error = 3.552713678800501e-15 relative error = 2.265310256254953e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -4.400000000000002 y[1] (closed_form) = -15.52707218511337 y[1] (numeric) = -15.52707218511336 absolute error = 1.77635683940025e-15 relative error = 1.144038501413897e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -4.300000000000002 y[1] (closed_form) = -15.37257523548282 y[1] (numeric) = -15.37257523548282 absolute error = 3.552713678800501e-15 relative error = 2.311072559007657e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -4.200000000000003 y[1] (closed_form) = -15.21961555618634 y[1] (numeric) = -15.21961555618634 absolute error = 3.552713678800501e-15 relative error = 2.334299224369319e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -4.100000000000003 y[1] (closed_form) = -15.06817785112854 y[1] (numeric) = -15.06817785112854 absolute error = 5.329070518200751e-15 relative error = 3.536638982398012e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -4.000000000000004 y[1] (closed_form) = -14.91824697641271 y[1] (numeric) = -14.91824697641271 absolute error = 1.77635683940025e-15 relative error = 1.190727598362498e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -3.900000000000003 y[1] (closed_form) = -14.76980793882643 y[1] (numeric) = -14.76980793882643 absolute error = 0 relative error = 0 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -3.800000000000003 y[1] (closed_form) = -14.62284589434225 y[1] (numeric) = -14.62284589434225 absolute error = 3.552713678800501e-15 relative error = 2.429563782912523e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -3.700000000000003 y[1] (closed_form) = -14.47734614663325 y[1] (numeric) = -14.47734614663325 absolute error = 3.552713678800501e-15 relative error = 2.453981304872437e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -3.600000000000003 y[1] (closed_form) = -14.33329414560341 y[1] (numeric) = -14.33329414560341 absolute error = 0 relative error = 0 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -3.500000000000003 y[1] (closed_form) = -14.19067548593258 y[1] (numeric) = -14.19067548593257 absolute error = 3.552713678800501e-15 relative error = 2.503555015631467e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -3.400000000000003 y[1] (closed_form) = -14.04947590563594 y[1] (numeric) = -14.04947590563594 absolute error = 1.77635683940025e-15 relative error = 1.264358080921485e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -3.300000000000003 y[1] (closed_form) = -13.90968128463781 y[1] (numeric) = -13.90968128463781 absolute error = 1.77635683940025e-15 relative error = 1.277065090888964e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -3.200000000000003 y[1] (closed_form) = -13.77127764335958 y[1] (numeric) = -13.77127764335957 absolute error = 3.552713678800501e-15 relative error = 2.579799616859513e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -3.100000000000003 y[1] (closed_form) = -13.63425114132178 y[1] (numeric) = -13.63425114132178 absolute error = 3.552713678800501e-15 relative error = 2.605727034052624e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -3.000000000000003 y[1] (closed_form) = -13.49858807576003 y[1] (numeric) = -13.49858807576003 absolute error = 1.77635683940025e-15 relative error = 1.315957513060293e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -2.900000000000003 y[1] (closed_form) = -13.36427488025473 y[1] (numeric) = -13.36427488025472 absolute error = 3.552713678800501e-15 relative error = 2.658366211884431e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -2.800000000000002 y[1] (closed_form) = -13.23129812337437 y[1] (numeric) = -13.23129812337437 absolute error = 0 relative error = 0 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -2.700000000000002 y[1] (closed_form) = -13.09964450733248 y[1] (numeric) = -13.09964450733247 absolute error = 3.552713678800501e-15 relative error = 2.712068771646347e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -2.600000000000002 y[1] (closed_form) = -12.96930086665772 y[1] (numeric) = -12.96930086665772 absolute error = 3.552713678800501e-15 relative error = 2.739325515945147e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -2.500000000000002 y[1] (closed_form) = -12.84025416687742 y[1] (numeric) = -12.84025416687741 absolute error = 1.77635683940025e-15 relative error = 1.383428097539161e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -2.400000000000002 y[1] (closed_form) = -12.71249150321405 y[1] (numeric) = -12.71249150321405 absolute error = 3.552713678800501e-15 relative error = 2.794663562136723e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -2.300000000000002 y[1] (closed_form) = -12.58600009929478 y[1] (numeric) = -12.58600009929478 absolute error = 1.77635683940025e-15 relative error = 1.411375198940117e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -2.200000000000002 y[1] (closed_form) = -12.46076730587381 y[1] (numeric) = -12.46076730587381 absolute error = 3.552713678800501e-15 relative error = 2.851119511015832e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -2.100000000000002 y[1] (closed_form) = -12.33678059956744 y[1] (numeric) = -12.33678059956743 absolute error = 3.552713678800501e-15 relative error = 2.879773738478473e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -2.000000000000002 y[1] (closed_form) = -12.2140275816017 y[1] (numeric) = -12.2140275816017 absolute error = 3.552713678800501e-15 relative error = 2.908715945714781e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -1.900000000000002 y[1] (closed_form) = -12.09249597657252 y[1] (numeric) = -12.09249597657251 absolute error = 1.77635683940025e-15 relative error = 1.468974513484799e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -1.800000000000002 y[1] (closed_form) = -11.9721736312181 y[1] (numeric) = -11.9721736312181 absolute error = 1.77635683940025e-15 relative error = 1.483737952787706e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -1.700000000000002 y[1] (closed_form) = -11.85304851320366 y[1] (numeric) = -11.85304851320365 absolute error = 1.77635683940025e-15 relative error = 1.498649767122344e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -1.600000000000001 y[1] (closed_form) = -11.73510870991811 y[1] (numeric) = -11.7351087099181 absolute error = 3.552713678800501e-15 relative error = 3.027422895365146e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -1.500000000000001 y[1] (closed_form) = -11.61834242728283 y[1] (numeric) = -11.61834242728283 absolute error = 3.552713678800501e-15 relative error = 3.057849001298001e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -1.400000000000001 y[1] (closed_form) = -11.50273798857228 y[1] (numeric) = -11.50273798857227 absolute error = 5.329070518200751e-15 relative error = 4.632871342018804e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -1.300000000000001 y[1] (closed_form) = -11.38828383324622 y[1] (numeric) = -11.38828383324622 absolute error = 1.77635683940025e-15 relative error = 1.559810824361849e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -1.200000000000001 y[1] (closed_form) = -11.27496851579376 y[1] (numeric) = -11.27496851579376 absolute error = 1.77635683940025e-15 relative error = 1.57548718376638e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -1.100000000000001 y[1] (closed_form) = -11.16278070458871 y[1] (numeric) = -11.16278070458871 absolute error = 0 relative error = 0 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -1.000000000000001 y[1] (closed_form) = -11.05170918075648 y[1] (numeric) = -11.05170918075648 absolute error = 1.77635683940025e-15 relative error = 1.60731413607344e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -0.9000000000000009 y[1] (closed_form) = -10.9417428370521 y[1] (numeric) = -10.9417428370521 absolute error = 1.77635683940025e-15 relative error = 1.623467911697724e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -0.8000000000000009 y[1] (closed_form) = -10.83287067674959 y[1] (numeric) = -10.83287067674958 absolute error = 1.77635683940025e-15 relative error = 1.639784035466071e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -0.700000000000001 y[1] (closed_form) = -10.72508181254216 y[1] (numeric) = -10.72508181254216 absolute error = 1.77635683940025e-15 relative error = 1.656264139004456e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -0.600000000000001 y[1] (closed_form) = -10.6183654654536 y[1] (numeric) = -10.61836546545359 absolute error = 1.77635683940025e-15 relative error = 1.672909870336967e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -0.500000000000001 y[1] (closed_form) = -10.51271096376024 y[1] (numeric) = -10.51271096376024 absolute error = 3.552713678800501e-15 relative error = 3.379445788101215e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -0.400000000000001 y[1] (closed_form) = -10.40810774192388 y[1] (numeric) = -10.40810774192388 absolute error = 1.77635683940025e-15 relative error = 1.70670489146176e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -0.300000000000001 y[1] (closed_form) = -10.30454533953517 y[1] (numeric) = -10.30454533953517 absolute error = 3.552713678800501e-15 relative error = 3.447715121568635e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -0.200000000000001 y[1] (closed_form) = -10.20201340026756 y[1] (numeric) = -10.20201340026756 absolute error = 5.329070518200751e-15 relative error = 5.223547851898518e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -0.100000000000001 y[1] (closed_form) = -10.10050167084168 y[1] (numeric) = -10.10050167084168 absolute error = 5.329070518200751e-15 relative error = 5.276045380582246e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = -1.02695629777827e-15 y[1] (closed_form) = -10 y[1] (numeric) = -9.999999999999996 absolute error = 5.329070518200751e-15 relative error = 5.329070518200751e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = 0.09999999999999898 y[1] (closed_form) = -9.900498337491682 y[1] (numeric) = -9.900498337491676 absolute error = 5.329070518200751e-15 relative error = 5.382628567311982e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = 0.199999999999999 y[1] (closed_form) = -9.801986733067555 y[1] (numeric) = -9.801986733067549 absolute error = 5.329070518200751e-15 relative error = 5.436724883765484e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = 0.299999999999999 y[1] (closed_form) = -9.704455335485083 y[1] (numeric) = -9.704455335485077 absolute error = 5.329070518200751e-15 relative error = 5.491364877237981e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = 0.399999999999999 y[1] (closed_form) = -9.607894391523233 y[1] (numeric) = -9.607894391523228 absolute error = 5.329070518200751e-15 relative error = 5.546554011774355e-14 % Desired digits = 16 Estimated correct digits = 13 Correct digits = 16 h = 0.1 NO POLE (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] = 0.499999999999999 y[1] (closed_form) = -9.512294245007141 y[1] (numeric) = -9.512294245007135 absolute error = 5.329070518200751e-15 relative error = 5.60229780633405e-14 % Desired digits = 16 Estimated correct digits = 12 Correct digits = 16 h = 0.1 NO POLE (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] = 0.599999999999999 y[1] (closed_form) = -9.417645335842487 y[1] (numeric) = -9.417645335842483 absolute error = 3.552713678800501e-15 relative error = 3.772401223561984e-14 % Desired digits = 16 Estimated correct digits = 12 Correct digits = 16 h = 0.1 NO POLE (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] = 0.699999999999999 y[1] (closed_form) = -9.323938199059482 y[1] (numeric) = -9.323938199059478 absolute error = 3.552713678800501e-15 relative error = 3.810314486167302e-14 % Desired digits = 16 Estimated correct digits = 12 Correct digits = 16 h = 0.1 NO POLE (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] = 0.7999999999999989 y[1] (closed_form) = -9.231163463866357 y[1] (numeric) = -9.231163463866354 absolute error = 3.552713678800501e-15 relative error = 3.848608783396509e-14 % Desired digits = 16 Estimated correct digits = 12 Correct digits = 16 h = 0.1 NO POLE (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] = 0.8999999999999989 y[1] (closed_form) = -9.139311852712282 y[1] (numeric) = -9.139311852712277 absolute error = 5.329070518200751e-15 relative error = 5.830931917066861e-14 % Desired digits = 16 Estimated correct digits = 12 Correct digits = 16 h = 0.1 NO POLE (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] = 0.9999999999999989 y[1] (closed_form) = -9.048374180359597 y[1] (numeric) = -9.048374180359591 absolute error = 5.329070518200751e-15 relative error = 5.889533757089791e-14 % Desired digits = 16 Estimated correct digits = 12 Correct digits = 16 h = 0.1 NO POLE (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] = 1.099999999999999 y[1] (closed_form) = -8.958341352965284 y[1] (numeric) = -8.958341352965277 absolute error = 7.105427357601002e-15 relative error = 7.931632740528521e-14 % Desired digits = 16 Estimated correct digits = 12 Correct digits = 16 h = 0.1 NO POLE (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] = 1.199999999999999 y[1] (closed_form) = -8.869204367171575 y[1] (numeric) = -8.869204367171569 absolute error = 5.329070518200751e-15 relative error = 6.008510231115819e-14 % Desired digits = 16 Estimated correct digits = 12 Correct digits = 16 h = 0.1 NO POLE (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] = 1.299999999999999 y[1] (closed_form) = -8.780954309205613 y[1] (numeric) = -8.780954309205608 absolute error = 5.329070518200751e-15 relative error = 6.068896762865466e-14 % Desired digits = 16 Estimated correct digits = 12 Correct digits = 16 h = 0.1 NO POLE (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] = 1.399999999999999 y[1] (closed_form) = -8.693582353988059 y[1] (numeric) = -8.693582353988052 absolute error = 7.105427357601002e-15 relative error = 8.173186919131773e-14 % Desired digits = 16 Estimated correct digits = 12 Correct digits = 16 h = 0.1 NO POLE (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] = 1.499999999999999 y[1] (closed_form) = -8.607079764250578 y[1] (numeric) = -8.607079764250573 absolute error = 5.329070518200751e-15 relative error = 6.191496609959389e-14 % Desired digits = 16 Estimated correct digits = 12 Correct digits = 16 h = 0.1 NO POLE (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] = 1.599999999999999 y[1] (closed_form) = -8.521437889662115 y[1] (numeric) = -8.521437889662108 absolute error = 7.105427357601002e-15 relative error = 8.338296247187387e-14 % Desired digits = 16 Estimated correct digits = 12 Correct digits = 16 h = 0.1 NO POLE (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] = 1.7 y[1] (closed_form) = -8.436648165963836 y[1] (numeric) = -8.436648165963831 absolute error = 5.329070518200751e-15 relative error = 6.316573138251685e-14 % Desired digits = 16 Estimated correct digits = 12 Correct digits = 16 h = 0.1 NO POLE (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] = 1.8 y[1] (closed_form) = -8.352702114112722 y[1] (numeric) = -8.352702114112715 absolute error = 7.105427357601002e-15 relative error = 8.506741004920641e-14 % Desired digits = 16 Estimated correct digits = 12 Correct digits = 16 h = 0.1 NO POLE (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] = 1.9 y[1] (closed_form) = -8.269591339433624 y[1] (numeric) = -8.269591339433617 absolute error = 7.105427357601002e-15 relative error = 8.592235173361838e-14 % Desired digits = 16 Estimated correct digits = 12 Correct digits = 16 h = 0.1 NO POLE (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] = 2 y[1] (closed_form) = -8.187307530779819 y[1] (numeric) = -8.187307530779814 absolute error = 5.329070518200751e-15 relative error = 6.508941429360443e-14 % Desired digits = 16 Estimated correct digits = 12 Correct digits = 16 h = 0.1 NO POLE (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] = 2.1 y[1] (closed_form) = -8.10584245970187 y[1] (numeric) = -8.105842459701867 absolute error = 3.552713678800501e-15 relative error = 4.382904918844386e-14 % Desired digits = 16 Estimated correct digits = 12 Correct digits = 16 h = 0.1 NO POLE (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] = 2.2 y[1] (closed_form) = -8.025187979624786 y[1] (numeric) = -8.02518797962478 absolute error = 5.329070518200751e-15 relative error = 6.640430768389191e-14 % Desired digits = 16 Estimated correct digits = 12 Correct digits = 16 h = 0.1 NO POLE (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] = 2.3 y[1] (closed_form) = -7.945336025033339 y[1] (numeric) = -7.945336025033336 absolute error = 3.552713678800501e-15 relative error = 4.471445471414903e-14 % Desired digits = 16 Estimated correct digits = 12 Correct digits = 16 h = 0.1 NO POLE (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] = 2.4 y[1] (closed_form) = -7.866278610665534 y[1] (numeric) = -7.86627861066553 absolute error = 3.552713678800501e-15 relative error = 4.516384245510369e-14 % Desired digits = 16 Estimated correct digits = 12 Correct digits = 16 h = 0.1 NO POLE (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] = 2.5 y[1] (closed_form) = -7.788007830714047 y[1] (numeric) = -7.788007830714045 absolute error = 2.664535259100376e-15 relative error = 3.42133099634554e-14 % Desired digits = 16 Estimated correct digits = 12 Correct digits = 16 h = 0.1 NO POLE (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] = 2.6 y[1] (closed_form) = -7.710515858035663 y[1] (numeric) = -7.710515858035659 absolute error = 4.440892098500626e-15 relative error = 5.759526574181759e-14 % Desired digits = 16 Estimated correct digits = 12 Correct digits = 16 h = 0.1 NO POLE (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] = 2.7 y[1] (closed_form) = -7.633794943368532 y[1] (numeric) = -7.633794943368527 absolute error = 4.440892098500626e-15 relative error = 5.817410778577991e-14 % Desired digits = 16 Estimated correct digits = 12 Correct digits = 16 h = 0.1 NO POLE (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] = 2.8 y[1] (closed_form) = -7.557837414557254 y[1] (numeric) = -7.55783741455725 absolute error = 3.552713678800501e-15 relative error = 4.700701383119953e-14 % Desired digits = 16 Estimated correct digits = 12 Correct digits = 16 h = 0.1 NO POLE (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] = 2.9 y[1] (closed_form) = -7.482635675785652 y[1] (numeric) = -7.482635675785647 absolute error = 4.440892098500626e-15 relative error = 5.93493027179136e-14 % Desired digits = 16 Estimated correct digits = 12 Correct digits = 16 h = 0.1 NO POLE (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] = 3 y[1] (closed_form) = -7.408182206817179 y[1] (numeric) = -7.408182206817173 absolute error = 5.329070518200751e-15 relative error = 7.193492775186899e-14 % Desired digits = 16 Estimated correct digits = 12 Correct digits = 16 h = 0.1 NO POLE (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] = 3.100000000000001 y[1] (closed_form) = -7.334469562242891 y[1] (numeric) = -7.334469562242887 absolute error = 3.552713678800501e-15 relative error = 4.843859052997524e-14 % Desired digits = 16 Estimated correct digits = 12 Correct digits = 16 h = 0.1 NO POLE (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] = 3.200000000000001 y[1] (closed_form) = -7.261490370736908 y[1] (numeric) = -7.261490370736904 absolute error = 4.440892098500626e-15 relative error = 6.115675807265385e-14 % Desired digits = 16 Estimated correct digits = 12 Correct digits = 16 h = 0.1 NO POLE (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] = 3.300000000000001 y[1] (closed_form) = -7.189237334319261 y[1] (numeric) = -7.189237334319256 absolute error = 4.440892098500626e-15 relative error = 6.177139370961006e-14 % Desired digits = 16 Estimated correct digits = 12 Correct digits = 16 h = 0.1 NO POLE (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] = 3.400000000000001 y[1] (closed_form) = -7.117703227626096 y[1] (numeric) = -7.117703227626092 absolute error = 4.440892098500626e-15 relative error = 6.239220653741357e-14 % Desired digits = 16 Estimated correct digits = 12 Correct digits = 16 h = 0.1 NO POLE (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] = 3.500000000000001 y[1] (closed_form) = -7.046880897187133 y[1] (numeric) = -7.046880897187129 absolute error = 4.440892098500626e-15 relative error = 6.301925863786451e-14 % Desired digits = 16 Estimated correct digits = 12 Correct digits = 16 h = 0.1 NO POLE (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] = 3.600000000000001 y[1] (closed_form) = -6.97676326071031 y[1] (numeric) = -6.976763260710305 absolute error = 5.329070518200751e-15 relative error = 7.638313526003453e-14 % Desired digits = 16 Estimated correct digits = 12 Correct digits = 16 h = 0.1 NO POLE (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] = 3.700000000000001 y[1] (closed_form) = -6.907343306373544 y[1] (numeric) = -6.907343306373541 absolute error = 3.552713678800501e-15 relative error = 5.143386568787367e-14 % Desired digits = 16 Estimated correct digits = 12 Correct digits = 16 h = 0.1 NO POLE (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] = 3.800000000000001 y[1] (closed_form) = -6.838614092123557 y[1] (numeric) = -6.838614092123553 absolute error = 4.440892098500626e-15 relative error = 6.493848078977681e-14 % Desired digits = 16 Estimated correct digits = 12 Correct digits = 16 h = 0.1 NO POLE (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] = 3.900000000000001 y[1] (closed_form) = -6.770568744981647 y[1] (numeric) = -6.770568744981642 absolute error = 5.329070518200751e-15 relative error = 7.870934804628731e-14 % Desired digits = 16 Estimated correct digits = 12 Correct digits = 16 h = 0.1 NO POLE (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] = 4.000000000000001 y[1] (closed_form) = -6.703200460356392 y[1] (numeric) = -6.703200460356388 absolute error = 4.440892098500626e-15 relative error = 6.625032512103204e-14 % Desired digits = 16 Estimated correct digits = 12 Correct digits = 16 h = 0.1 NO POLE (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] = 4.100000000000001 y[1] (closed_form) = -6.636502501363193 y[1] (numeric) = -6.636502501363188 absolute error = 4.440892098500626e-15 relative error = 6.691615195787887e-14 % Desired digits = 16 Estimated correct digits = 12 Correct digits = 16 h = 0.1 NO POLE (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] = 4.2 y[1] (closed_form) = -6.570468198150568 y[1] (numeric) = -6.570468198150563 absolute error = 5.329070518200751e-15 relative error = 8.110640455882215e-14 % Desired digits = 16 Estimated correct digits = 12 Correct digits = 16 h = 0.1 NO POLE (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] = 4.3 y[1] (closed_form) = -6.505090947233167 y[1] (numeric) = -6.50509094723316 absolute error = 6.217248937900877e-15 relative error = 9.557512705560683e-14 % Desired digits = 16 Estimated correct digits = 12 Correct digits = 16 h = 0.1 NO POLE (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] = 4.399999999999999 y[1] (closed_form) = -6.440364210831414 y[1] (numeric) = -6.440364210831408 absolute error = 6.217248937900877e-15 relative error = 9.653567305160627e-14 % Desired digits = 16 Estimated correct digits = 12 Correct digits = 16 h = 0.1 NO POLE (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] = 4.499999999999999 y[1] (closed_form) = -6.376281516217733 y[1] (numeric) = -6.376281516217728 absolute error = 5.329070518200751e-15 relative error = 8.357646231030647e-14 % Desired digits = 16 Estimated correct digits = 12 Correct digits = 16 h = 0.1 NO POLE (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] = 4.599999999999999 y[1] (closed_form) = -6.31283645506926 y[1] (numeric) = -6.312836455069254 absolute error = 6.217248937900877e-15 relative error = 9.84858230076335e-14 % Desired digits = 16 Estimated correct digits = 12 Correct digits = 16 h = 0.1 NO POLE (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] = 4.699999999999998 y[1] (closed_form) = -6.250022682827009 y[1] (numeric) = -6.250022682827002 absolute error = 6.217248937900877e-15 relative error = 9.947562198428202e-14 % Desired digits = 16 Estimated correct digits = 12 Correct digits = 16 h = 0.1 NO POLE (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] = 4.799999999999998 y[1] (closed_form) = -6.187833918061409 y[1] (numeric) = -6.187833918061403 absolute error = 5.329070518200751e-15 relative error = 8.612174451945052e-14 % Desired digits = 16 Estimated correct digits = 12 Correct digits = 16 h = 0.1 NO POLE (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] = 4.899999999999998 y[1] (closed_form) = -6.126263941844162 y[1] (numeric) = -6.126263941844155 absolute error = 7.105427357601002e-15 relative error = 1.15983043255268e-13 % Desired digits = 16 Estimated correct digits = 12 Correct digits = 15 h = 0.1 NO POLE (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] = 4.999999999999997 y[1] (closed_form) = -6.065306597126336 y[1] (numeric) = -6.065306597126328 absolute error = 7.105427357601002e-15 relative error = 1.171486922189137e-13 % Desired digits = 16 Estimated correct digits = 12 Correct digits = 15 h = 0.1 NO POLE (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 ) = exp ( 0.1 * x ) / exp ( 0.2 * x ) ; Iterations = 101 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 3 Minutes 0.0 Seconds Percent Done = 102 %