##############ECHO OF PROBLEM################# ##############temp/expt_lin_sin_newpostode.ode################# diff ( y , x , 1 ) = expt ( 2.0 * x + 1.0 , sin ( x ) ) * ( cos ( x ) * ln ( 2.0 * x + 1.0 ) + ( 2.0 * sin ( x ) ) / ( 2.0 * x + 1.0 ) ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=0.1; x_end=1.0; array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_desired_digits_correct=10; glob_display_interval=0.01; glob_look_poles=true; glob_max_iter=100000000; glob_max_minutes=10.0; glob_subiter_method=3; /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y (double x) { return(expt(2.0*x+1.0,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 = 0.9 estimated_steps = 900000.0000000001 step_error = 3.513641844631533e-15 est_needed_step_err = 3.513641844631533e-15 opt_iter = 1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 1.01836844605944 glob_desired_digits_correct = 10 estimated_h = 1e-06 estimated_answer = 1.01836844605944 desired_abs_gbl_error = 1.01836844605944e-10 range = 0.9 estimated_steps = 900000.0000000001 step_error = 3.57818198532684e-15 est_needed_step_err = 3.57818198532684e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.031890051472423e-152 estimated_step_error = 1.031890051472423e-152 Double H and LOOP opt_iter = 2 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 1.01836844605944 glob_desired_digits_correct = 10 estimated_h = 2e-06 estimated_answer = 1.01836844605944 desired_abs_gbl_error = 1.01836844605944e-10 range = 0.9 estimated_steps = 450000.0000000001 step_error = 5.060313492288303e-15 est_needed_step_err = 5.060313492288303e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.668123813664462e-144 estimated_step_error = 1.668123813664462e-144 Double H and LOOP opt_iter = 3 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 1.01836844605944 glob_desired_digits_correct = 10 estimated_h = 4e-06 estimated_answer = 1.01836844605944 desired_abs_gbl_error = 1.01836844605944e-10 range = 0.9 estimated_steps = 225000 step_error = 7.15636397065368e-15 est_needed_step_err = 7.15636397065368e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.119457130919725e-136 estimated_step_error = 1.119457130919725e-136 Double H and LOOP opt_iter = 4 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 1.01836844605944 glob_desired_digits_correct = 10 estimated_h = 8e-06 estimated_answer = 1.01836844605944 desired_abs_gbl_error = 1.01836844605944e-10 range = 0.9 estimated_steps = 112500 step_error = 1.012062698457661e-14 est_needed_step_err = 1.012062698457661e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 7.512525334680389e-129 estimated_step_error = 7.512525334680389e-129 Double H and LOOP opt_iter = 5 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 1.01836844605944 glob_desired_digits_correct = 10 estimated_h = 1.6e-05 estimated_answer = 1.01836844605944 desired_abs_gbl_error = 1.01836844605944e-10 range = 0.9 estimated_steps = 56250.00000000001 step_error = 1.431272794130736e-14 est_needed_step_err = 1.431272794130736e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 5.041537794430847e-121 estimated_step_error = 5.041537794430847e-121 Double H and LOOP opt_iter = 6 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 1.01836844605944 glob_desired_digits_correct = 10 estimated_h = 3.2e-05 estimated_answer = 1.01836844605944 desired_abs_gbl_error = 1.01836844605944e-10 range = 0.9 estimated_steps = 28125 step_error = 2.024125396915321e-14 est_needed_step_err = 2.024125396915321e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.383274967194527e-113 estimated_step_error = 3.383274967194527e-113 Double H and LOOP opt_iter = 7 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 1.01836844605944 glob_desired_digits_correct = 10 estimated_h = 6.4e-05 estimated_answer = 1.01836844605944 desired_abs_gbl_error = 1.01836844605944e-10 range = 0.9 estimated_steps = 14062.5 step_error = 2.862545588261472e-14 est_needed_step_err = 2.862545588261472e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.270418645250299e-105 estimated_step_error = 2.270418645250299e-105 Double H and LOOP opt_iter = 8 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 1.01836844605944 glob_desired_digits_correct = 10 estimated_h = 0.000128 estimated_answer = 1.01836844605944 desired_abs_gbl_error = 1.01836844605944e-10 range = 0.9 estimated_steps = 7031.250000000001 step_error = 4.048250793830642e-14 est_needed_step_err = 4.048250793830642e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.523573312433103e-97 estimated_step_error = 1.523573312433103e-97 Double H and LOOP opt_iter = 9 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 1.01836844605944 glob_desired_digits_correct = 10 estimated_h = 0.000256 estimated_answer = 1.01836844605944 desired_abs_gbl_error = 1.01836844605944e-10 range = 0.9 estimated_steps = 3515.625 step_error = 5.725091176522944e-14 est_needed_step_err = 5.725091176522944e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.022346930044821e-89 estimated_step_error = 1.022346930044821e-89 Double H and LOOP opt_iter = 10 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 1.01836844605944 glob_desired_digits_correct = 10 estimated_h = 0.000512 estimated_answer = 1.01836844605944 desired_abs_gbl_error = 1.01836844605944e-10 range = 0.9 estimated_steps = 1757.8125 step_error = 8.096501587661285e-14 est_needed_step_err = 8.096501587661285e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 6.859434363792518e-82 estimated_step_error = 6.859434363792518e-82 Double H and LOOP opt_iter = 11 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 1.01836844605944 glob_desired_digits_correct = 10 estimated_h = 0.001024 estimated_answer = 1.01836844605944 desired_abs_gbl_error = 1.01836844605944e-10 range = 0.9 estimated_steps = 878.9062500000001 step_error = 1.145018235304589e-13 est_needed_step_err = 1.145018235304589e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.601384112524771e-74 estimated_step_error = 4.601384112524771e-74 Double H and LOOP opt_iter = 12 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 1.01836844605944 glob_desired_digits_correct = 10 estimated_h = 0.002048 estimated_answer = 1.01836844605944 desired_abs_gbl_error = 1.01836844605944e-10 range = 0.9 estimated_steps = 439.4531250000001 step_error = 1.619300317532257e-13 est_needed_step_err = 1.619300317532257e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.085383782772213e-66 estimated_step_error = 3.085383782772213e-66 Double H and LOOP opt_iter = 13 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 1.01836844605944 glob_desired_digits_correct = 10 estimated_h = 0.004096 estimated_answer = 1.01836844605944 desired_abs_gbl_error = 1.01836844605944e-10 range = 0.9 estimated_steps = 219.7265625 step_error = 2.290036470609177e-13 est_needed_step_err = 2.290036470609177e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.067148158101838e-58 estimated_step_error = 2.067148158101838e-58 Double H and LOOP opt_iter = 14 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 1.01836844605944 glob_desired_digits_correct = 10 estimated_h = 0.008192 estimated_answer = 1.01836844605944 desired_abs_gbl_error = 1.01836844605944e-10 range = 0.9 estimated_steps = 109.86328125 step_error = 3.238600635064514e-13 est_needed_step_err = 3.238600635064514e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.382674952528545e-50 estimated_step_error = 1.382674952528545e-50 Double H and LOOP opt_iter = 15 SETTING H FOR DISPLAY INTERVAL NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 START of Soultion TOP MAIN SOLVE Loop x[1] = 0.1 y[1] (analytic) = 1.01836844605944 y[1] (numeric) = 1.01836844605944 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.11 y[1] (analytic) = 1.02206951636314 y[1] (numeric) = 1.022071632442133 absolute error = 2.116078992253634e-06 relative error = 0.0002070386562142406 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.12 y[1] (analytic) = 1.026085891407599 y[1] (numeric) = 1.026088007486589 absolute error = 2.116078990033188e-06 relative error = 0.0002062282512363872 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.13 y[1] (analytic) = 1.030413285474373 y[1] (numeric) = 1.03041540155336 absolute error = 2.116078987812742e-06 relative error = 0.0002053621607604331 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.14 y[1] (analytic) = 1.035047815453368 y[1] (numeric) = 1.035049931532354 absolute error = 2.116078985592296e-06 relative error = 0.0002044426309585918 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.15 y[1] (analytic) = 1.039985973153405 y[1] (numeric) = 1.039988089232389 absolute error = 2.11607898337185e-06 relative error = 0.0002034718773134561 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.16 y[1] (analytic) = 1.045224599813281 y[1] (numeric) = 1.045226715892262 absolute error = 2.116078980929359e-06 relative error = 0.00020245208362943 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.17 y[1] (analytic) = 1.050760862591619 y[1] (numeric) = 1.050762978670598 absolute error = 2.116078978930958e-06 relative error = 0.0002013854012141083 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.18 y[1] (analytic) = 1.05659223283808 y[1] (numeric) = 1.056594348917057 absolute error = 2.116078976932556e-06 relative error = 0.0002002739478075304 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1900000000000001 y[1] (analytic) = 1.062716465969835 y[1] (numeric) = 1.06271858204881 absolute error = 2.116078974934155e-06 relative error = 0.0001991198069000484 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2000000000000001 y[1] (analytic) = 1.069131582795923 y[1] (numeric) = 1.069133698874896 absolute error = 2.116078972935753e-06 relative error = 0.0001979250269084673 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2100000000000001 y[1] (analytic) = 1.075835852148585 y[1] (numeric) = 1.075837968227556 absolute error = 2.116078970715307e-06 relative error = 0.0001966916204260362 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2200000000000001 y[1] (analytic) = 1.082827774695218 y[1] (numeric) = 1.082829890774187 absolute error = 2.116078968716906e-06 relative error = 0.0001954215636288527 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2300000000000001 y[1] (analytic) = 1.090106067817417 y[1] (numeric) = 1.090108183896384 absolute error = 2.116078966718504e-06 relative error = 0.0001941167955293803 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2400000000000001 y[1] (analytic) = 1.097669651454948 y[1] (numeric) = 1.097671767533913 absolute error = 2.116078964720103e-06 relative error = 0.000192779217491826 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2500000000000001 y[1] (analytic) = 1.105517634822564 y[1] (numeric) = 1.105519750901527 absolute error = 2.116078962721701e-06 relative error = 0.00019141069269884 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2600000000000001 y[1] (analytic) = 1.113649303916554 y[1] (numeric) = 1.113651419995514 absolute error = 2.1160789607233e-06 relative error = 0.0001900130456941281 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2700000000000001 y[1] (analytic) = 1.122064109735859 y[1] (numeric) = 1.122066225814818 absolute error = 2.116078958724898e-06 relative error = 0.0001885880619800803 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2800000000000001 y[1] (analytic) = 1.13076165714972 y[1] (numeric) = 1.130763773228676 absolute error = 2.116078956726497e-06 relative error = 0.0001871374876700754 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2900000000000001 y[1] (analytic) = 1.139741694350138 y[1] (numeric) = 1.139743810429093 absolute error = 2.116078954728096e-06 relative error = 0.0001856630291949308 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3000000000000002 y[1] (analytic) = 1.149004102833155 y[1] (numeric) = 1.149006218912108 absolute error = 2.116078952951739e-06 relative error = 0.0001841663530821186 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3100000000000002 y[1] (analytic) = 1.158548887857997 y[1] (numeric) = 1.158551003936948 absolute error = 2.116078950953337e-06 relative error = 0.0001826490856907805 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3200000000000002 y[1] (analytic) = 1.168376169337734 y[1] (numeric) = 1.168378285416683 absolute error = 2.11607894917698e-06 relative error = 0.0001811128132112134 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3300000000000002 y[1] (analytic) = 1.178486173119207 y[1] (numeric) = 1.178488289198155 absolute error = 2.116078947178579e-06 relative error = 0.0001795590814254323 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3400000000000002 y[1] (analytic) = 1.188879222613676 y[1] (numeric) = 1.188881338692621 absolute error = 2.116078945402222e-06 relative error = 0.0001779893958235856 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3500000000000002 y[1] (analytic) = 1.19955573074298 y[1] (numeric) = 1.199557846821924 absolute error = 2.116078943625865e-06 relative error = 0.0001764052214827242 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3600000000000002 y[1] (analytic) = 1.210516192169058 y[1] (numeric) = 1.210518308248 absolute error = 2.116078941849509e-06 relative error = 0.0001748079832007717 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3700000000000002 y[1] (analytic) = 1.221761175777367 y[1] (numeric) = 1.221763291856307 absolute error = 2.116078940073152e-06 relative error = 0.0001731990655806164 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3800000000000002 y[1] (analytic) = 1.23329131738728 y[1] (numeric) = 1.233293433466218 absolute error = 2.116078938296795e-06 relative error = 0.0001715798131766382 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3900000000000002 y[1] (analytic) = 1.245107312664776 y[1] (numeric) = 1.245109428743713 absolute error = 2.116078936520438e-06 relative error = 0.000169951530683055 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4000000000000002 y[1] (analytic) = 1.257209910214807 y[1] (numeric) = 1.257212026293742 absolute error = 2.116078934744081e-06 relative error = 0.0001683154831624361 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4100000000000003 y[1] (analytic) = 1.269599904832628 y[1] (numeric) = 1.269602020911561 absolute error = 2.116078932967724e-06 relative error = 0.0001666728963126922 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4200000000000003 y[1] (analytic) = 1.282278130895091 y[1] (numeric) = 1.282280246974022 absolute error = 2.116078930969323e-06 relative error = 0.0001650249567535086 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4300000000000003 y[1] (analytic) = 1.295245455874505 y[1] (numeric) = 1.295247571953434 absolute error = 2.116078929192966e-06 relative error = 0.0001633728124345561 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4400000000000003 y[1] (analytic) = 1.308502773959113 y[1] (numeric) = 1.30850489003804 absolute error = 2.116078927638654e-06 relative error = 0.0001617175729200843 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4500000000000003 y[1] (analytic) = 1.322050999765606 y[1] (numeric) = 1.322053115844532 absolute error = 2.116078925640252e-06 relative error = 0.0001600603097774158 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4600000000000003 y[1] (analytic) = 1.335891062130329 y[1] (numeric) = 1.335893178209253 absolute error = 2.11607892408594e-06 relative error = 0.0001584020571790828 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4700000000000003 y[1] (analytic) = 1.350023897966993 y[1] (numeric) = 1.350026014045915 absolute error = 2.116078922309583e-06 relative error = 0.000156743812127785 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4800000000000003 y[1] (analytic) = 1.364450446179807 y[1] (numeric) = 1.364452562258728 absolute error = 2.116078920533226e-06 relative error = 0.0001550865351290574 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4900000000000003 y[1] (analytic) = 1.379171641621934 y[1] (numeric) = 1.379173757700852 absolute error = 2.11607891875687e-06 relative error = 0.0001534311506193905 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5000000000000003 y[1] (analytic) = 1.394188409090117 y[1] (numeric) = 1.394190525169034 absolute error = 2.116078916980513e-06 relative error = 0.0001517785475179441 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5100000000000003 y[1] (analytic) = 1.409501657347239 y[1] (numeric) = 1.409503773426155 absolute error = 2.116078915426201e-06 relative error = 0.0001501295797983508 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5200000000000004 y[1] (analytic) = 1.425112273165377 y[1] (numeric) = 1.425114389244291 absolute error = 2.116078913649844e-06 relative error = 0.0001484850670010533 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5300000000000004 y[1] (analytic) = 1.441021115382739 y[1] (numeric) = 1.441023231461651 absolute error = 2.116078912095531e-06 relative error = 0.0001468457949371197 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5400000000000004 y[1] (analytic) = 1.457229008968604 y[1] (numeric) = 1.457231125047514 absolute error = 2.116078910319175e-06 relative error = 0.0001452125161725192 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5500000000000004 y[1] (analytic) = 1.473736739091108 y[1] (numeric) = 1.473738855170017 absolute error = 2.116078908986907e-06 relative error = 0.0001435859507914519 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5600000000000004 y[1] (analytic) = 1.490545045183409 y[1] (numeric) = 1.490547161262316 absolute error = 2.116078906988506e-06 relative error = 0.0001419667868358937 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5700000000000004 y[1] (analytic) = 1.507654615004392 y[1] (numeric) = 1.507656731083298 absolute error = 2.116078905656238e-06 relative error = 0.0001403556812413614 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5800000000000004 y[1] (analytic) = 1.525066078690766 y[1] (numeric) = 1.525068194769669 absolute error = 2.116078903657836e-06 relative error = 0.0001387532601521399 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5900000000000004 y[1] (analytic) = 1.54278000279793 y[1] (numeric) = 1.542782118876832 absolute error = 2.116078902325569e-06 relative error = 0.0001371601199450294 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6000000000000004 y[1] (analytic) = 1.560796884327654 y[1] (numeric) = 1.560799000406555 absolute error = 2.116078900549212e-06 relative error = 0.0001355768275678457 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6100000000000004 y[1] (analytic) = 1.579117144741131 y[1] (numeric) = 1.57911926082003 absolute error = 2.1160788989949e-06 relative error = 0.000134003921497654 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6200000000000004 y[1] (analytic) = 1.597741123956541 y[1] (numeric) = 1.597743240035438 absolute error = 2.116078897218543e-06 relative error = 0.0001324419122403525 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6300000000000004 y[1] (analytic) = 1.616669074330807 y[1] (numeric) = 1.616671190409703 absolute error = 2.116078895886275e-06 relative error = 0.0001308912831627085 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6400000000000005 y[1] (analytic) = 1.635901154625737 y[1] (numeric) = 1.635903270704631 absolute error = 2.116078894109918e-06 relative error = 0.0001293524910185687 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6500000000000005 y[1] (analytic) = 1.655437423959267 y[1] (numeric) = 1.65543954003816 absolute error = 2.116078892777651e-06 relative error = 0.0001278259668503011 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6600000000000005 y[1] (analytic) = 1.675277835743038 y[1] (numeric) = 1.675279951821929 absolute error = 2.116078891001294e-06 relative error = 0.0001263121164653114 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6700000000000005 y[1] (analytic) = 1.695422231608018 y[1] (numeric) = 1.695424347686907 absolute error = 2.116078889446982e-06 relative error = 0.0001248113213332111 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6800000000000005 y[1] (analytic) = 1.715870335320381 y[1] (numeric) = 1.715872451399269 absolute error = 2.116078887670625e-06 relative error = 0.0001233239391177841 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6900000000000005 y[1] (analytic) = 1.736621746690329 y[1] (numeric) = 1.736623862769215 absolute error = 2.116078886560402e-06 relative error = 0.0001218503045118055 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7000000000000005 y[1] (analytic) = 1.757675935477013 y[1] (numeric) = 1.757678051555897 absolute error = 2.116078884562e-06 relative error = 0.0001203907297045471 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7100000000000005 y[1] (analytic) = 1.779032235293184 y[1] (numeric) = 1.779034351372068 absolute error = 2.116078883229733e-06 relative error = 0.0001189455053848984 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7200000000000005 y[1] (analytic) = 1.80068983751366 y[1] (numeric) = 1.800691953592541 absolute error = 2.116078881453376e-06 relative error = 0.0001175149010878629 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7300000000000005 y[1] (analytic) = 1.822647785192121 y[1] (numeric) = 1.822649901271001 absolute error = 2.116078880121108e-06 relative error = 0.0001160991661314343 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7400000000000005 y[1] (analytic) = 1.844904966991254 y[1] (numeric) = 1.844907083070132 absolute error = 2.116078878122707e-06 relative error = 0.0001146985300589057 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7500000000000006 y[1] (analytic) = 1.867460111131612 y[1] (numeric) = 1.867462227210489 absolute error = 2.116078877012484e-06 relative error = 0.0001133132035537947 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7600000000000006 y[1] (analytic) = 1.890311779365091 y[1] (numeric) = 1.890313895443966 absolute error = 2.116078875014082e-06 relative error = 0.0001119433787650004 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7700000000000006 y[1] (analytic) = 1.913458360979247 y[1] (numeric) = 1.91346047705812 absolute error = 2.116078873681815e-06 relative error = 0.0001105892303085641 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7800000000000006 y[1] (analytic) = 1.936898066839174 y[1] (numeric) = 1.936900182918046 absolute error = 2.116078872127503e-06 relative error = 0.0001092509155931336 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7900000000000006 y[1] (analytic) = 1.960628923474026 y[1] (numeric) = 1.960631039552896 absolute error = 2.116078870795235e-06 relative error = 0.0001079285756452969 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8000000000000006 y[1] (analytic) = 1.984648767215673 y[1] (numeric) = 1.984650883294542 absolute error = 2.116078869018878e-06 relative error = 0.0001066223355978293 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8100000000000006 y[1] (analytic) = 2.008955238397386 y[1] (numeric) = 2.008957354476254 absolute error = 2.11607886768661e-06 relative error = 0.0001053323054312888 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8200000000000006 y[1] (analytic) = 2.0335457756208 y[1] (numeric) = 2.033547891699666 absolute error = 2.116078865910254e-06 relative error = 0.0001040585804007415 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8300000000000006 y[1] (analytic) = 2.058417610099799 y[1] (numeric) = 2.058419726178664 absolute error = 2.116078865022075e-06 relative error = 0.0001028012418198988 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8400000000000006 y[1] (analytic) = 2.083567760090311 y[1] (numeric) = 2.083569876169174 absolute error = 2.116078863245718e-06 relative error = 0.0001015603573724907 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8500000000000006 y[1] (analytic) = 2.108993025415335 y[1] (numeric) = 2.108995141494196 absolute error = 2.116078861469362e-06 relative error = 0.0001003359819576753 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 6 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8600000000000007 y[1] (analytic) = 2.134689982094888 y[1] (numeric) = 2.134692098173748 absolute error = 2.116078860137094e-06 relative error = 9.912815808787701e-05 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 7 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8700000000000007 y[1] (analytic) = 2.160654977090838 y[1] (numeric) = 2.160657093169696 absolute error = 2.116078858360737e-06 relative error = 9.793691638865362e-05 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 7 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8800000000000007 y[1] (analytic) = 2.186884123176915 y[1] (numeric) = 2.186886239255772 absolute error = 2.116078857028469e-06 relative error = 9.676227627252667e-05 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 7 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8900000000000007 y[1] (analytic) = 2.21337329394448 y[1] (numeric) = 2.213375410023335 absolute error = 2.116078855696202e-06 relative error = 9.560424630971813e-05 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 7 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9000000000000007 y[1] (analytic) = 2.24011811895488 y[1] (numeric) = 2.240120235033734 absolute error = 2.116078853919845e-06 relative error = 9.446282479546636e-05 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 7 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9100000000000007 y[1] (analytic) = 2.267113979049498 y[1] (numeric) = 2.267116095128351 absolute error = 2.116078853031667e-06 relative error = 9.333800032051525e-05 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 7 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9200000000000007 y[1] (analytic) = 2.294356001828812 y[1] (numeric) = 2.294358117907663 absolute error = 2.11607885081122e-06 relative error = 9.222975201426945e-05 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 7 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9300000000000007 y[1] (analytic) = 2.321839057311988 y[1] (numeric) = 2.321841173390839 absolute error = 2.116078850367131e-06 relative error = 9.113805040461903e-05 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 7 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9400000000000007 y[1] (analytic) = 2.349557753788765 y[1] (numeric) = 2.349559869867613 absolute error = 2.116078848590774e-06 relative error = 9.006285736873268e-05 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 7 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9500000000000007 y[1] (analytic) = 2.377506433875468 y[1] (numeric) = 2.377508549954315 absolute error = 2.116078847258507e-06 relative error = 8.900412705967657e-05 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 7 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9600000000000007 y[1] (analytic) = 2.405679170787237 y[1] (numeric) = 2.405681286866083 absolute error = 2.116078845926239e-06 relative error = 8.796180603059265e-05 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 7 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9700000000000008 y[1] (analytic) = 2.434069764838576 y[1] (numeric) = 2.434071880917421 absolute error = 2.116078845038061e-06 relative error = 8.693583378775488e-05 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 7 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9800000000000008 y[1] (analytic) = 2.462671740184482 y[1] (numeric) = 2.462673856263326 absolute error = 2.116078843261704e-06 relative error = 8.592614308812368e-05 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 7 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9900000000000008 y[1] (analytic) = 2.49147834181445 y[1] (numeric) = 2.491480457893292 absolute error = 2.116078842373526e-06 relative error = 8.493266053569082e-05 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 7 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = expt ( 2.0 * x + 1.0 , sin ( x ) ) * ( cos ( x ) * ln ( 2.0 * x + 1.0 ) + ( 2.0 * sin ( x ) ) / ( 2.0 * x + 1.0 ) ) ; Iterations = 90 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 10 Minutes 0.0 Seconds Percent Done = 101.1 %