##############ECHO OF PROBLEM################# ##############temp/mtest7postode.ode################# diff ( y2 , x , 5 ) = y1 ; diff ( y1 , x , 1 ) = m1 * diff ( y2 , x , 4 ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=40; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=0.1; x_end=0.5; array_y1_init[0 + 1] = exact_soln_y1(x_start); array_y2_init[0 + 1] = exact_soln_y2(x_start); array_y2_init[1 + 1] = exact_soln_y2p(x_start); array_y2_init[2 + 1] = exact_soln_y2pp(x_start); array_y2_init[3 + 1] = exact_soln_y2ppp(x_start); array_y2_init[4 + 1] = exact_soln_y2pppp(x_start); glob_look_poles=true; glob_type_given_pole=3; /* 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_y1 (double x) { return( cos(x) ); } double exact_soln_y2 (double x) { return( sin(x) + 10.0 * x + 10.0); } double exact_soln_y2p (double x) { return( cos(x) + 10.0); } double exact_soln_y2pp (double x) { return( -sin(x)); } double exact_soln_y2ppp (double x) { return( -cos(x)); } double exact_soln_y2pppp (double x) { return( sin(x)); } /* 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 = 0.4 estimated_steps = 400000.0000000001 step_error = 3.952847075210474e-15 est_needed_step_err = 3.952847075210474e-15 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 min_size = 11.09983341664683 min_size = 0.9950041652780258 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 1e-06 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 0.4 estimated_steps = 400000.0000000001 step_error = 3.952847075210474e-15 est_needed_step_err = 3.952847075210474e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.674790362139999e-258 estimated_step_error = 2.674790362139999e-258 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 min_size = 11.09983341664683 min_size = 0.9950041652780258 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 2e-06 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 0.4 estimated_steps = 200000 step_error = 5.590169943749474e-15 est_needed_step_err = 5.590169943749474e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.838101940647567e-247 estimated_step_error = 1.838101940647567e-247 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 min_size = 11.09983341664683 min_size = 0.9950041652780258 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 4e-06 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 0.4 estimated_steps = 100000 step_error = 7.905694150420947e-15 est_needed_step_err = 7.905694150420947e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.263134035487269e-236 estimated_step_error = 1.263134035487269e-236 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 min_size = 11.09983341664683 min_size = 0.9950041652780258 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 8e-06 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 0.4 estimated_steps = 50000.00000000001 step_error = 1.118033988749895e-14 est_needed_step_err = 1.118033988749895e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 8.680190996611721e-226 estimated_step_error = 8.680190996611721e-226 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 min_size = 11.09983341664683 min_size = 0.9950041652780258 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 1.6e-05 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 0.4 estimated_steps = 25000 step_error = 1.581138830084189e-14 est_needed_step_err = 1.581138830084189e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 5.964981832556958e-215 estimated_step_error = 5.964981832556958e-215 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 min_size = 11.09983341664683 min_size = 0.9950041652780258 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 3.2e-05 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 0.4 estimated_steps = 12500 step_error = 2.23606797749979e-14 est_needed_step_err = 2.23606797749979e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.099104302730605e-204 estimated_step_error = 4.099104302730605e-204 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 min_size = 11.09983341664683 min_size = 0.9950041652780258 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 6.4e-05 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 0.4 estimated_steps = 6250.000000000001 step_error = 3.162277660168379e-14 est_needed_step_err = 3.162277660168379e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.816883027699333e-193 estimated_step_error = 2.816883027699333e-193 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 min_size = 11.09983341664683 min_size = 0.9950041652780258 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 0.000128 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 0.4 estimated_steps = 3125 step_error = 4.472135954999579e-14 est_needed_step_err = 4.472135954999579e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.935747276900176e-182 estimated_step_error = 1.935747276900176e-182 Double H and LOOP opt_iter = 9 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.09933 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 = 0.09933 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 2 SETTING H FOR POLE ACCURACY START of Soultion TOP MAIN SOLVE Loop x[1] = 0.1 y2[1] (analytic) = 11.09983341664683 y2[1] (numeric) = 11.09983341664683 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.000128 y1[1] (analytic) = 0.9950041652780258 y1[1] (numeric) = 0.9950041652780258 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.000128 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.1101120000000003 y2[1] (analytic) = 11.21100962323139 y2[1] (numeric) = 11.21100962323138 absolute error = 3.552713678800501e-15 relative error = 3.168950699532528e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 y1[1] (analytic) = 0.9939437965529361 y1[1] (numeric) = 0.9939437965529364 absolute error = 3.33066907387547e-16 relative error = 3.350963188689797e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.1200960000000005 y2[1] (analytic) = 11.32076751636619 y2[1] (numeric) = 11.32076751636618 absolute error = 8.881784197001252e-15 relative error = 7.845567170389331e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 y1[1] (analytic) = 0.992797138907122 y1[1] (numeric) = 0.9927971389071221 absolute error = 1.110223024625157e-16 relative error = 1.118277824457973e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.1300800000000002 y2[1] (analytic) = 11.43051346715628 y2[1] (numeric) = 11.43051346715627 absolute error = 8.881784197001252e-15 relative error = 7.77024078797651e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 y1[1] (analytic) = 0.9915515198103915 y1[1] (numeric) = 0.9915515198103914 absolute error = 1.110223024625157e-16 relative error = 1.119682641238307e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.1400639999999994 y2[1] (analytic) = 11.54024648818216 y2[1] (numeric) = 11.54024648818216 absolute error = 5.329070518200751e-15 relative error = 4.617813426825856e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 y1[1] (analytic) = 0.9902070634253438 y1[1] (numeric) = 0.9902070634253437 absolute error = 1.110223024625157e-16 relative error = 1.121202893448014e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.1500479999999985 y2[1] (analytic) = 11.64996559331315 y2[1] (numeric) = 11.64996559331316 absolute error = 1.06581410364015e-14 relative error = 9.148645934644702e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 y1[1] (analytic) = 0.9887639037666223 y1[1] (numeric) = 0.9887639037666219 absolute error = 3.33066907387547e-16 relative error = 3.36851806704061e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.1600319999999977 y2[1] (analytic) = 11.75966979780571 y2[1] (numeric) = 11.75966979780574 absolute error = 2.842170943040401e-14 relative error = 2.416879888558379e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y1[1] (analytic) = 0.9872221846875562 y1[1] (numeric) = 0.9872221846875561 absolute error = 1.110223024625157e-16 relative error = 1.124592864550069e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.1700159999999968 y2[1] (analytic) = 11.86935811840157 y2[1] (numeric) = 11.86935811840161 absolute error = 3.375077994860476e-14 relative error = 2.843521916849023e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y1[1] (analytic) = 0.9855820598658215 y1[1] (numeric) = 0.9855820598658206 absolute error = 8.881784197001252e-16 relative error = 9.011714558004872e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.180127999999996 y2[1] (analytic) = 11.9804355039515 y2[1] (numeric) = 11.98043550395155 absolute error = 4.618527782440651e-14 relative error = 3.855058341507973e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y1[1] (analytic) = 0.9838207689431386 y1[1] (numeric) = 0.9838207689431379 absolute error = 7.771561172376096e-16 relative error = 7.899366853908392e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.1901119999999951 y2[1] (analytic) = 12.09008887826603 y2[1] (numeric) = 12.09008887826607 absolute error = 4.440892098500626e-14 relative error = 3.673167454115146e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y1[1] (analytic) = 0.9819830767619475 y1[1] (numeric) = 0.9819830767619468 absolute error = 6.661338147750939e-16 relative error = 6.783556973014701e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.2000959999999943 y2[1] (analytic) = 12.19972341627086 y2[1] (numeric) = 12.19972341627092 absolute error = 5.684341886080801e-14 relative error = 4.65940226030006e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y1[1] (analytic) = 0.980047501069369 y1[1] (numeric) = 0.9800475010693684 absolute error = 5.551115123125783e-16 relative error = 5.664128643834854e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.2100799999999935 y2[1] (analytic) = 12.30933814165205 y2[1] (numeric) = 12.30933814165212 absolute error = 7.105427357601002e-14 relative error = 5.772387821208536e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y1[1] (analytic) = 0.9780142348024807 y1[1] (numeric) = 0.97801423480248 absolute error = 7.771561172376096e-16 relative error = 7.946265908845014e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.2200639999999926 y2[1] (analytic) = 12.41893208007057 y2[1] (numeric) = 12.41893208007065 absolute error = 7.993605777301127e-14 relative error = 6.436628951477207e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y1[1] (analytic) = 0.9758834806361015 y1[1] (numeric) = 0.9758834806361013 absolute error = 2.220446049250313e-16 relative error = 2.275318819622789e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.2300479999999918 y2[1] (analytic) = 12.52850425925941 y2[1] (numeric) = 12.5285042592595 absolute error = 9.059419880941277e-14 relative error = 7.231046654468553e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y1[1] (analytic) = 0.9736554509625875 y1[1] (numeric) = 0.9736554509625871 absolute error = 4.440892098500626e-16 relative error = 4.561050928344534e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.2400319999999909 y2[1] (analytic) = 12.63805370912052 y2[1] (numeric) = 12.63805370912062 absolute error = 9.947598300641403e-14 relative error = 7.871147353537915e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y1[1] (analytic) = 0.9713303678706623 y1[1] (numeric) = 0.9713303678706618 absolute error = 4.440892098500626e-16 relative error = 4.571968760984887e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.2500159999999901 y2[1] (analytic) = 12.74757946182149 y2[1] (numeric) = 12.7475794618216 absolute error = 1.101341240428155e-13 relative error = 8.639610709834205e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y1[1] (analytic) = 0.9689084631232785 y1[1] (numeric) = 0.9689084631232778 absolute error = 6.661338147750939e-16 relative error = 6.87509543087084e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.2601279999999915 y2[1] (analytic) = 12.85848424770292 y2[1] (numeric) = 12.85848424770301 absolute error = 9.237055564881302e-14 relative error = 7.183627079942519e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y1[1] (analytic) = 0.9663570639072964 y1[1] (numeric) = 0.9663570639072961 absolute error = 2.220446049250313e-16 relative error = 2.297749074521509e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.2701119999999928 y2[1] (analytic) = 12.96795937735598 y2[1] (numeric) = 12.96795937735606 absolute error = 8.171241461241152e-14 relative error = 6.301100445694931e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y1[1] (analytic) = 0.9637410164002747 y1[1] (numeric) = 0.9637410164002738 absolute error = 8.881784197001252e-16 relative error = 9.215944995447141e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.2800959999999941 y2[1] (analytic) = 13.07740790861254 y2[1] (numeric) = 13.07740790861262 absolute error = 7.638334409421077e-14 relative error = 5.840862702149568e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y1[1] (analytic) = 0.9610289037400077 y1[1] (numeric) = 0.9610289037400073 absolute error = 4.440892098500626e-16 relative error = 4.620976623302523e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.2900799999999955 y2[1] (analytic) = 13.1868288836997 y2[1] (numeric) = 13.18682888369976 absolute error = 6.394884621840902e-14 relative error = 4.849448399035229e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y1[1] (analytic) = 0.9582209962683341 y1[1] (numeric) = 0.9582209962683342 absolute error = 1.110223024625157e-16 relative error = 1.158629406941378e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.3000639999999968 y2[1] (analytic) = 13.29622134759134 y2[1] (numeric) = 13.29622134759139 absolute error = 4.618527782440651e-14 relative error = 3.473564151575526e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y1[1] (analytic) = 0.9553175738758645 y1[1] (numeric) = 0.955317573875865 absolute error = 5.551115123125783e-16 relative error = 5.810753695866903e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.3100479999999981 y2[1] (analytic) = 13.40558434810333 y2[1] (numeric) = 13.40558434810338 absolute error = 4.440892098500626e-14 relative error = 3.312718030921896e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y1[1] (analytic) = 0.9523189259740821 y1[1] (numeric) = 0.9523189259740829 absolute error = 7.771561172376096e-16 relative error = 8.160670716931234e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.3200319999999994 y2[1] (analytic) = 13.51491693598843 y2[1] (numeric) = 13.51491693598845 absolute error = 2.309263891220326e-14 relative error = 1.708677827734969e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y1[1] (analytic) = 0.9492253514664946 y1[1] (numeric) = 0.9492253514664958 absolute error = 1.221245327087672e-15 relative error = 1.286570491612896e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.3300160000000008 y2[1] (analytic) = 13.62421816503089 y2[1] (numeric) = 13.62421816503091 absolute error = 1.243449787580175e-14 relative error = 9.126760688343364e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 y1[1] (analytic) = 0.9460371587188392 y1[1] (numeric) = 0.9460371587188406 absolute error = 1.443289932012704e-15 relative error = 1.52561653494379e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.3400000000000021 y2[1] (analytic) = 13.73348709214084 y2[1] (numeric) = 13.73348709214083 absolute error = 5.329070518200751e-15 relative error = 3.880347709541577e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 y1[1] (analytic) = 0.9427546655283455 y1[1] (numeric) = 0.9427546655283474 absolute error = 1.887379141862766e-15 relative error = 2.001983348239414e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.3501120000000034 y2[1] (analytic) = 13.84412301504845 y2[1] (numeric) = 13.84412301504844 absolute error = 1.77635683940025e-14 relative error = 1.283112579590173e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y1[1] (analytic) = 0.9393343024012774 y1[1] (numeric) = 0.9393343024012799 absolute error = 2.55351295663786e-15 relative error = 2.718428306205958e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.3600960000000047 y2[1] (analytic) = 13.9533240777468 y2[1] (numeric) = 13.95332407774677 absolute error = 2.486899575160351e-14 relative error = 1.782299014416598e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y1[1] (analytic) = 0.9358630010389781 y1[1] (numeric) = 0.9358630010389816 absolute error = 3.441691376337985e-15 relative error = 3.677558972325097e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.3700800000000061 y2[1] (analytic) = 14.06249001699543 y2[1] (numeric) = 14.06249001699539 absolute error = 4.085620730620576e-14 relative error = 2.905332359833031e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y1[1] (analytic) = 0.9322984133880584 y1[1] (numeric) = 0.9322984133880623 absolute error = 3.885780586188048e-15 relative error = 4.16795795250446e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.3800640000000074 y2[1] (analytic) = 14.17161990319006 y2[1] (numeric) = 14.17161990319 absolute error = 5.329070518200751e-14 relative error = 3.760382055548335e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y1[1] (analytic) = 0.9286408947645761 y1[1] (numeric) = 0.9286408947645803 absolute error = 4.218847493575595e-15 relative error = 4.543034360601935e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.3900480000000087 y2[1] (analytic) = 14.28071281032014 y2[1] (numeric) = 14.28071281032007 absolute error = 6.572520305780927e-14 relative error = 4.602375520801184e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y1[1] (analytic) = 0.9248908097478956 y1[1] (numeric) = 0.9248908097479011 absolute error = 5.440092820663267e-15 relative error = 5.881875745036447e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.40003200000001 y2[1] (analytic) = 14.38976781606118 y2[1] (numeric) = 14.3897678160611 absolute error = 7.815970093361102e-14 relative error = 5.43161654397042e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y1[1] (analytic) = 0.9210485321443462 y1[1] (numeric) = 0.921048532144352 absolute error = 5.773159728050814e-15 relative error = 6.268029888294798e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.4100160000000114 y2[1] (analytic) = 14.49878400186669 y2[1] (numeric) = 14.4987840018666 absolute error = 8.526512829121202e-14 relative error = 5.880846854483405e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y1[1] (analytic) = 0.9171144449499616 y1[1] (numeric) = 0.9171144449499679 absolute error = 6.217248937900877e-15 relative error = 6.779141874970788e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.4200000000000127 y2[1] (analytic) = 14.60776045305971 y2[1] (numeric) = 14.60776045305961 absolute error = 9.947598300641403e-14 relative error = 6.80980382489624e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y1[1] (analytic) = 0.9130889403123031 y1[1] (numeric) = 0.9130889403123101 absolute error = 6.994405055138486e-15 relative error = 7.66015745711058e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.430112000000014 y2[1] (analytic) = 14.7180926039785 y2[1] (numeric) = 14.71809260397838 absolute error = 1.172395514004165e-13 relative error = 7.965675618097761e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y1[1] (analytic) = 0.9089190544440716 y1[1] (numeric) = 0.9089190544440798 absolute error = 8.215650382226158e-15 relative error = 9.03892413967617e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.4400960000000154 y2[1] (analytic) = 14.82698631926297 y2[1] (numeric) = 14.82698631926284 absolute error = 1.385558334732195e-13 relative error = 9.344841256999752e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y1[1] (analytic) = 0.9047107688622776 y1[1] (numeric) = 0.9047107688622867 absolute error = 9.103828801926284e-15 relative error = 1.006269530026136e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.4500800000000167 y2[1] (analytic) = 14.93583756848763 y2[1] (numeric) = 14.93583756848748 absolute error = 1.527666881884215e-13 relative error = 1.022819694495983e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.9004123022285472 y1[1] (numeric) = 0.9004123022285574 absolute error = 1.021405182655144e-14 relative error = 1.134374974805582e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.460064000000018 y2[1] (analytic) = 15.04464545341631 y2[1] (numeric) = 15.04464545341615 absolute error = 1.580957587066223e-13 relative error = 1.050844030829069e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.8960240830115753 y1[1] (numeric) = 0.8960240830115859 absolute error = 1.054711873393899e-14 relative error = 1.177102148693333e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.4700480000000193 y2[1] (analytic) = 15.15340908013537 y2[1] (numeric) = 15.1534090801352 absolute error = 1.740829702612245e-13 relative error = 1.148804004040452e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.8915465486265437 y1[1] (numeric) = 0.8915465486265555 absolute error = 1.176836406102666e-14 relative error = 1.31999434905067e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.4800320000000207 y2[1] (analytic) = 15.2621275591428 y2[1] (numeric) = 15.26212755914261 absolute error = 1.900701818158268e-13 relative error = 1.245371466587992e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.8869801453915185 y1[1] (numeric) = 0.8869801453915308 absolute error = 1.232347557333924e-14 relative error = 1.389374456392097e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.490016000000022 y2[1] (analytic) = 15.37080000543689 y2[1] (numeric) = 15.37080000543669 absolute error = 2.060573933704291e-13 relative error = 1.340576894485279e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.8823253284829621 y1[1] (numeric) = 0.882325328482975 absolute error = 1.287858708565182e-14 relative error = 1.459618880917177e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 Finished! diff ( y2 , x , 5 ) = y1 ; diff ( y1 , x , 1 ) = m1 * diff ( y2 , x , 4 ) ; Iterations = 3125 Total Elapsed Time = 4.0 Seconds Elapsed Time(since restart) = 4.0 Seconds Time to Timeout = 9 Minutes 56.0 Seconds Percent Done = 100 %