##############ECHO OF PROBLEM################# ##############temp/mtest1postode.ode################# diff ( y1 , x , 1 ) = m1 * y2 + 1.0 ; diff ( y2 , x , 1 ) = y1 - 1.0 ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=40; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=0.1; x_end=10.0; array_y1_init[0 + 1] = exact_soln_y1(x_start); array_y2_init[0 + 1] = exact_soln_y2(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(1.0 + cos(x)); } double exact_soln_y2 (double x) { return(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 = 9.9 estimated_steps = 9900000 step_error = 7.945521577046603e-16 est_needed_step_err = 7.945521577046603e-16 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 = 1.995004165278026 min_size = 1.099833416646828 glob_desired_digits_correct = 10 estimated_h = 1e-06 estimated_answer = 1.099833416646828 desired_abs_gbl_error = 1.099833416646828e-10 range = 9.9 estimated_steps = 9900000 step_error = 8.73875014312426e-16 est_needed_step_err = 8.73875014312426e-16 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.674790358513323e-258 estimated_step_error = 2.674790358513323e-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 = 1.995004165278026 min_size = 1.099833416646828 glob_desired_digits_correct = 10 estimated_h = 2e-06 estimated_answer = 1.099833416646828 desired_abs_gbl_error = 1.099833416646828e-10 range = 9.9 estimated_steps = 4950000 step_error = 1.235845897059615e-15 est_needed_step_err = 1.235845897059615e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.838101935663098e-247 estimated_step_error = 1.838101935663098e-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 = 1.995004165278026 min_size = 1.099833416646828 glob_desired_digits_correct = 10 estimated_h = 4e-06 estimated_answer = 1.099833416646828 desired_abs_gbl_error = 1.099833416646828e-10 range = 9.9 estimated_steps = 2475000 step_error = 1.747750028624852e-15 est_needed_step_err = 1.747750028624852e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.263134028636665e-236 estimated_step_error = 1.263134028636665e-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 = 1.995004165278026 min_size = 1.099833416646828 glob_desired_digits_correct = 10 estimated_h = 8e-06 estimated_answer = 1.099833416646828 desired_abs_gbl_error = 1.099833416646828e-10 range = 9.9 estimated_steps = 1237500 step_error = 2.471691794119231e-15 est_needed_step_err = 2.471691794119231e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 8.68019090245767e-226 estimated_step_error = 8.68019090245767e-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 = 1.995004165278026 min_size = 1.099833416646828 glob_desired_digits_correct = 10 estimated_h = 1.6e-05 estimated_answer = 1.099833416646828 desired_abs_gbl_error = 1.099833416646828e-10 range = 9.9 estimated_steps = 618750 step_error = 3.495500057249704e-15 est_needed_step_err = 3.495500057249704e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 5.964981703152477e-215 estimated_step_error = 5.964981703152477e-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 = 1.995004165278026 min_size = 1.099833416646828 glob_desired_digits_correct = 10 estimated_h = 3.2e-05 estimated_answer = 1.099833416646828 desired_abs_gbl_error = 1.099833416646828e-10 range = 9.9 estimated_steps = 309375 step_error = 4.943383588238461e-15 est_needed_step_err = 4.943383588238461e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.099104124878063e-204 estimated_step_error = 4.099104124878063e-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 = 1.995004165278026 min_size = 1.099833416646828 glob_desired_digits_correct = 10 estimated_h = 6.4e-05 estimated_answer = 1.099833416646828 desired_abs_gbl_error = 1.099833416646828e-10 range = 9.9 estimated_steps = 154687.5 step_error = 6.991000114499408e-15 est_needed_step_err = 6.991000114499408e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.816882783259633e-193 estimated_step_error = 2.816882783259633e-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 = 1.995004165278026 min_size = 1.099833416646828 glob_desired_digits_correct = 10 estimated_h = 0.000128 estimated_answer = 1.099833416646828 desired_abs_gbl_error = 1.099833416646828e-10 range = 9.9 estimated_steps = 77343.75 step_error = 9.886767176476923e-15 est_needed_step_err = 9.886767176476923e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.935746940941988e-182 estimated_step_error = 1.935746940941988e-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) = 32.01 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) = 32.99 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 y1[1] (analytic) = 1.995004165278026 y1[1] (numeric) = 1.995004165278026 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.000128 y2[1] (analytic) = 1.099833416646828 y2[1] (numeric) = 1.099833416646828 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 y1[1] (analytic) = 1.993943796552936 y1[1] (numeric) = 1.993943796552935 absolute error = 1.110223024625157e-15 relative error = 5.567975519392639e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 y2[1] (analytic) = 1.109889623231384 y2[1] (numeric) = 1.109889623231384 absolute error = 4.440892098500626e-16 relative error = 4.001201565945997e-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 y1[1] (analytic) = 1.992797138907122 y1[1] (numeric) = 1.992797138907121 absolute error = 8.881784197001252e-16 relative error = 4.456943470860335e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 y2[1] (analytic) = 1.119807516366182 y2[1] (numeric) = 1.119807516366181 absolute error = 2.220446049250313e-16 relative error = 1.982881894252457e-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 y1[1] (analytic) = 1.991551519810391 y1[1] (numeric) = 1.991551519810391 absolute error = 8.881784197001252e-16 relative error = 4.459731073312558e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 y2[1] (analytic) = 1.129713467156278 y2[1] (numeric) = 1.129713467156278 absolute error = 0 relative error = 0 % 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 y1[1] (analytic) = 1.990207063425344 y1[1] (numeric) = 1.990207063425343 absolute error = 8.881784197001252e-16 relative error = 4.462743781903185e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 y2[1] (analytic) = 1.139606488182166 y2[1] (numeric) = 1.139606488182167 absolute error = 1.554312234475219e-15 relative error = 1.363902584439097e-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] = 0.1500479999999985 y1[1] (analytic) = 1.988763903766622 y1[1] (numeric) = 1.988763903766621 absolute error = 1.332267629550188e-15 relative error = 6.698973302094521e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 y2[1] (analytic) = 1.149485593313168 y2[1] (numeric) = 1.14948559331317 absolute error = 2.220446049250313e-15 relative error = 1.931686714620155e-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] = 0.1600319999999977 y1[1] (analytic) = 1.987222184687556 y1[1] (numeric) = 1.987222184687555 absolute error = 8.881784197001252e-16 relative error = 4.469446982546495e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 y2[1] (analytic) = 1.159349797805735 y2[1] (numeric) = 1.159349797805738 absolute error = 2.886579864025407e-15 relative error = 2.489826512661446e-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] = 0.1700159999999968 y1[1] (analytic) = 1.985582059865822 y1[1] (numeric) = 1.985582059865821 absolute error = 8.881784197001252e-16 relative error = 4.473138822377077e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 y2[1] (analytic) = 1.169198118401607 y2[1] (numeric) = 1.169198118401612 absolute error = 4.218847493575595e-15 relative error = 3.608325592708886e-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] = 0.180127999999996 y1[1] (analytic) = 1.983820768943139 y1[1] (numeric) = 1.983820768943138 absolute error = 6.661338147750939e-16 relative error = 3.357832649014811e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 y2[1] (analytic) = 1.179155503951543 y2[1] (numeric) = 1.179155503951547 absolute error = 4.440892098500626e-15 relative error = 3.766163227511953e-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] = 0.1901119999999951 y1[1] (analytic) = 1.981983076761948 y1[1] (numeric) = 1.981983076761947 absolute error = 8.881784197001252e-16 relative error = 4.48126136955307e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 y2[1] (analytic) = 1.188968878266076 y2[1] (numeric) = 1.188968878266082 absolute error = 5.773159728050814e-15 relative error = 4.855602054504621e-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] = 0.2000959999999943 y1[1] (analytic) = 1.980047501069369 y1[1] (numeric) = 1.980047501069369 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 y2[1] (analytic) = 1.198763416270916 y2[1] (numeric) = 1.198763416270922 absolute error = 6.883382752675971e-15 relative error = 5.742069418575212e-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] = 0.2100799999999935 y1[1] (analytic) = 1.978014234802481 y1[1] (numeric) = 1.978014234802481 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 y2[1] (analytic) = 1.208538141652116 y2[1] (numeric) = 1.208538141652123 absolute error = 7.327471962526033e-15 relative error = 6.063087055332081e-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] = 0.2200639999999926 y1[1] (analytic) = 1.975883480636102 y1[1] (numeric) = 1.975883480636101 absolute error = 4.440892098500626e-16 relative error = 2.247547561393123e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 y2[1] (analytic) = 1.218292080070642 y2[1] (numeric) = 1.21829208007065 absolute error = 7.327471962526033e-15 relative error = 6.014544527040798e-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] = 0.2300479999999918 y1[1] (analytic) = 1.973655450962588 y1[1] (numeric) = 1.973655450962587 absolute error = 4.440892098500626e-16 relative error = 2.250084783711728e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 y2[1] (analytic) = 1.228024259259493 y2[1] (numeric) = 1.228024259259501 absolute error = 8.43769498715119e-15 relative error = 6.870951386774054e-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] = 0.2400319999999909 y1[1] (analytic) = 1.971330367870662 y1[1] (numeric) = 1.971330367870661 absolute error = 1.110223024625157e-15 relative error = 5.631846608361067e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 y2[1] (analytic) = 1.237733709120612 y2[1] (numeric) = 1.237733709120622 absolute error = 9.547918011776346e-15 relative error = 7.714032462249068e-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] = 0.2500159999999901 y1[1] (analytic) = 1.968908463123278 y1[1] (numeric) = 1.968908463123276 absolute error = 1.998401444325282e-15 relative error = 1.014979356203903e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y2[1] (analytic) = 1.247419461821592 y2[1] (numeric) = 1.247419461821602 absolute error = 9.547918011776346e-15 relative error = 7.654135841229886e-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] = 0.2601279999999915 y1[1] (analytic) = 1.966357063907296 y1[1] (numeric) = 1.966357063907294 absolute error = 2.220446049250313e-15 relative error = 1.129218131338834e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y2[1] (analytic) = 1.257204247703006 y2[1] (numeric) = 1.257204247703014 absolute error = 7.771561172376096e-15 relative error = 6.181621790234357e-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] = 0.2701119999999928 y1[1] (analytic) = 1.963741016400275 y1[1] (numeric) = 1.963741016400273 absolute error = 1.554312234475219e-15 relative error = 7.915057135815304e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 y2[1] (analytic) = 1.266839377356052 y2[1] (numeric) = 1.266839377356058 absolute error = 6.217248937900877e-15 relative error = 4.907685259102493e-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] = 0.2800959999999941 y1[1] (analytic) = 1.961028903740008 y1[1] (numeric) = 1.961028903740007 absolute error = 1.110223024625157e-15 relative error = 5.661431213521519e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 y2[1] (analytic) = 1.276447908612597 y2[1] (numeric) = 1.276447908612603 absolute error = 5.551115123125783e-15 relative error = 4.34887713448442e-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] = 0.2900799999999955 y1[1] (analytic) = 1.958220996268334 y1[1] (numeric) = 1.958220996268333 absolute error = 1.554312234475219e-15 relative error = 7.937368853858578e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 y2[1] (analytic) = 1.286028883699743 y2[1] (numeric) = 1.286028883699748 absolute error = 4.440892098500626e-15 relative error = 3.453182237808484e-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] = 0.3000639999999968 y1[1] (analytic) = 1.955317573875865 y1[1] (numeric) = 1.955317573875863 absolute error = 1.332267629550188e-15 relative error = 6.813561374121666e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 y2[1] (analytic) = 1.295581347591373 y2[1] (numeric) = 1.295581347591377 absolute error = 3.33066907387547e-15 relative error = 2.570791158785626e-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] = 0.3100479999999981 y1[1] (analytic) = 1.952318925974082 y1[1] (numeric) = 1.952318925974081 absolute error = 1.554312234475219e-15 relative error = 7.961364374418063e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 y2[1] (analytic) = 1.305104348103351 y2[1] (numeric) = 1.305104348103352 absolute error = 1.332267629550188e-15 relative error = 1.020813110833867e-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] = 0.3200319999999994 y1[1] (analytic) = 1.949225351466495 y1[1] (numeric) = 1.949225351466493 absolute error = 1.554312234475219e-15 relative error = 7.973999688162461e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 y2[1] (analytic) = 1.314596935988433 y2[1] (numeric) = 1.314596935988432 absolute error = 2.220446049250313e-16 relative error = 1.689069849824944e-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] = 0.3300160000000008 y1[1] (analytic) = 1.946037158718839 y1[1] (numeric) = 1.946037158718838 absolute error = 1.332267629550188e-15 relative error = 6.846054421834768e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 y2[1] (analytic) = 1.324058165030887 y2[1] (numeric) = 1.324058165030886 absolute error = 1.110223024625157e-15 relative error = 8.385001912655835e-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] = 0.3400000000000021 y1[1] (analytic) = 1.942754665528346 y1[1] (numeric) = 1.942754665528344 absolute error = 1.77635683940025e-15 relative error = 9.14349542389161e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 y2[1] (analytic) = 1.333487092140816 y2[1] (numeric) = 1.333487092140815 absolute error = 1.77635683940025e-15 relative error = 1.332114011353825e-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 y1[1] (analytic) = 1.939334302401277 y1[1] (numeric) = 1.939334302401277 absolute error = 8.881784197001252e-16 relative error = 4.579810807246515e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 y2[1] (analytic) = 1.343003015048418 y2[1] (numeric) = 1.343003015048416 absolute error = 2.442490654175344e-15 relative error = 1.818678459249242e-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 y1[1] (analytic) = 1.935863001038978 y1[1] (numeric) = 1.935863001038978 absolute error = 2.220446049250313e-16 relative error = 1.147005778848296e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 y2[1] (analytic) = 1.35236407774675 y2[1] (numeric) = 1.352364077746746 absolute error = 3.33066907387547e-15 relative error = 2.46284941213825e-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 y1[1] (analytic) = 1.932298413388058 y1[1] (numeric) = 1.932298413388058 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 y2[1] (analytic) = 1.361690016995367 y2[1] (numeric) = 1.361690016995363 absolute error = 4.662936703425657e-15 relative error = 3.424374597174947e-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 y1[1] (analytic) = 1.928640894764576 y1[1] (numeric) = 1.928640894764577 absolute error = 6.661338147750939e-16 relative error = 3.453902779845426e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 y2[1] (analytic) = 1.370979903189981 y2[1] (numeric) = 1.370979903189975 absolute error = 5.773159728050814e-15 relative error = 4.210973271466555e-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 y1[1] (analytic) = 1.924890809747896 y1[1] (numeric) = 1.924890809747897 absolute error = 8.881784197001252e-16 relative error = 4.614175594804002e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 y2[1] (analytic) = 1.380232810320049 y2[1] (numeric) = 1.380232810320041 absolute error = 7.549516567451064e-15 relative error = 5.469741416812489e-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 y1[1] (analytic) = 1.921048532144346 y1[1] (numeric) = 1.921048532144348 absolute error = 1.554312234475219e-15 relative error = 8.090957664355506e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 y2[1] (analytic) = 1.389447816061081 y2[1] (numeric) = 1.389447816061071 absolute error = 9.103828801926284e-15 relative error = 6.552119983702991e-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 y1[1] (analytic) = 1.917114444949962 y1[1] (numeric) = 1.917114444949962 absolute error = 8.881784197001252e-16 relative error = 4.632892011427661e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 y2[1] (analytic) = 1.398624001866576 y2[1] (numeric) = 1.398624001866566 absolute error = 9.769962616701378e-15 relative error = 6.985410377387047e-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 y1[1] (analytic) = 1.913088940312303 y1[1] (numeric) = 1.913088940312305 absolute error = 1.332267629550188e-15 relative error = 6.96396075204272e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 y2[1] (analytic) = 1.407760453059582 y2[1] (numeric) = 1.407760453059571 absolute error = 1.110223024625157e-14 relative error = 7.886448452307586e-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 y1[1] (analytic) = 1.908919054444072 y1[1] (numeric) = 1.908919054444073 absolute error = 1.110223024625157e-15 relative error = 5.81597748757599e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 y2[1] (analytic) = 1.416972603978361 y2[1] (numeric) = 1.416972603978348 absolute error = 1.243449787580175e-14 relative error = 8.775397520664873e-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 y1[1] (analytic) = 1.904710768862278 y1[1] (numeric) = 1.904710768862279 absolute error = 1.77635683940025e-15 relative error = 9.326123779209295e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 y2[1] (analytic) = 1.42602631926282 y2[1] (numeric) = 1.426026319262806 absolute error = 1.398881011027697e-14 relative error = 9.809643708054731e-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] = 0.4500800000000167 y1[1] (analytic) = 1.900412302228547 y1[1] (numeric) = 1.900412302228549 absolute error = 1.77635683940025e-15 relative error = 9.347218165853686e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 y2[1] (analytic) = 1.435037568487467 y2[1] (numeric) = 1.435037568487452 absolute error = 1.48769885299771e-14 relative error = 1.036696798513608e-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 y1[1] (analytic) = 1.896024083011575 y1[1] (numeric) = 1.896024083011578 absolute error = 2.664535259100376e-15 relative error = 1.405327750303744e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y2[1] (analytic) = 1.444005453416133 y2[1] (numeric) = 1.444005453416117 absolute error = 1.576516694967722e-14 relative error = 1.091766441212603e-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 y1[1] (analytic) = 1.891546548626544 y1[1] (numeric) = 1.891546548626547 absolute error = 2.886579864025407e-15 relative error = 1.526042203995117e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y2[1] (analytic) = 1.452929080135178 y2[1] (numeric) = 1.45292908013516 absolute error = 1.754152378907747e-14 relative error = 1.207321405353484e-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 y1[1] (analytic) = 1.886980145391518 y1[1] (numeric) = 1.886980145391523 absolute error = 4.440892098500626e-15 relative error = 2.353438699048533e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y2[1] (analytic) = 1.461807559142594 y2[1] (numeric) = 1.461807559142577 absolute error = 1.77635683940025e-14 relative error = 1.215178310093123e-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 y1[1] (analytic) = 1.882325328482962 y1[1] (numeric) = 1.882325328482967 absolute error = 5.10702591327572e-15 relative error = 2.71314731624616e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y2[1] (analytic) = 1.470640005436675 y2[1] (numeric) = 1.470640005436656 absolute error = 1.820765760385257e-14 relative error = 1.238077132169827e-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] = 0.5000000000000233 y1[1] (analytic) = 1.877582561890362 y1[1] (numeric) = 1.877582561890368 absolute error = 5.995204332975845e-15 relative error = 3.193044319148255e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y2[1] (analytic) = 1.479425538604223 y2[1] (numeric) = 1.479425538604204 absolute error = 1.931788062847772e-14 relative error = 1.305769038346015e-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] = 0.5101120000000247 y1[1] (analytic) = 1.872689826320349 y1[1] (numeric) = 1.872689826320356 absolute error = 6.883382752675971e-15 relative error = 3.675666229362254e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y2[1] (analytic) = 1.488274991205733 y2[1] (numeric) = 1.488274991205712 absolute error = 2.087219286295294e-14 relative error = 1.402441953690509e-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] = 0.520096000000026 y1[1] (analytic) = 1.867771475185567 y1[1] (numeric) = 1.867771475185575 absolute error = 8.43769498715119e-15 relative error = 4.517519996022474e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y2[1] (analytic) = 1.496963446195257 y2[1] (numeric) = 1.496963446195234 absolute error = 2.264854970235319e-14 relative error = 1.512966115499859e-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] = 0.5300800000000273 y1[1] (analytic) = 1.862766625086511 y1[1] (numeric) = 1.86276662508652 absolute error = 9.103828801926284e-15 relative error = 4.887262139723745e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y2[1] (analytic) = 1.505602364152731 y2[1] (numeric) = 1.505602364152708 absolute error = 2.331468351712829e-14 relative error = 1.548528620320577e-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] = 0.5400640000000286 y1[1] (analytic) = 1.857675774903779 y1[1] (numeric) = 1.857675774903789 absolute error = 1.043609643147647e-14 relative error = 5.617824473173757e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y2[1] (analytic) = 1.514190883955757 y2[1] (numeric) = 1.514190883955733 absolute error = 2.398081733190338e-14 relative error = 1.58373806010868e-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] = 0.55004800000003 y1[1] (analytic) = 1.852499432090403 y1[1] (numeric) = 1.852499432090414 absolute error = 1.110223024625157e-14 relative error = 5.993108582885531e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y2[1] (analytic) = 1.522728149505592 y2[1] (numeric) = 1.522728149505567 absolute error = 2.55351295663786e-14 relative error = 1.676932916402017e-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] = 0.5600320000000313 y1[1] (analytic) = 1.847238112621274 y1[1] (numeric) = 1.847238112621287 absolute error = 1.243449787580175e-14 relative error = 6.73139959101261e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y2[1] (analytic) = 1.53121330981249 y2[1] (numeric) = 1.531213309812463 absolute error = 2.708944180085382e-14 relative error = 1.769148793787009e-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] = 0.5700160000000326 y1[1] (analytic) = 1.841892340941708 y1[1] (numeric) = 1.841892340941721 absolute error = 1.287858708565182e-14 relative error = 6.992041173843718e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y2[1] (analytic) = 1.539645519080526 y2[1] (numeric) = 1.539645519080498 absolute error = 2.819966482547898e-14 relative error = 1.831568661487729e-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] = 0.5800000000000339 y1[1] (analytic) = 1.836462649915168 y1[1] (numeric) = 1.836462649915182 absolute error = 1.398881011027697e-14 relative error = 7.617258162545891e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y2[1] (analytic) = 1.548023936791902 y2[1] (numeric) = 1.548023936791873 absolute error = 2.886579864025407e-14 relative error = 1.864686840700607e-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] = 0.5901120000000353 y1[1] (analytic) = 1.830878361454048 y1[1] (numeric) = 1.830878361454063 absolute error = 1.509903313490213e-14 relative error = 8.246879450205951e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y2[1] (analytic) = 1.556454084779181 y2[1] (numeric) = 1.556454084779153 absolute error = 2.886579864025407e-14 relative error = 1.854587226345925e-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] = 0.6000960000000366 y1[1] (analytic) = 1.825281405429148 y1[1] (numeric) = 1.825281405429164 absolute error = 1.598721155460225e-14 relative error = 8.758765364644387e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y2[1] (analytic) = 1.564721703012103 y2[1] (numeric) = 1.564721703012072 absolute error = 3.064215547965432e-14 relative error = 1.958313444535722e-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] = 0.6100800000000379 y1[1] (analytic) = 1.819602185825825 y1[1] (numeric) = 1.819602185825842 absolute error = 1.643130076445232e-14 relative error = 9.030161038740995e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y2[1] (analytic) = 1.572933030108694 y2[1] (numeric) = 1.572933030108663 absolute error = 3.130828929442941e-14 relative error = 1.990440069293091e-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] = 0.6200640000000393 y1[1] (analytic) = 1.813841268745439 y1[1] (numeric) = 1.813841268745457 absolute error = 1.77635683940025e-14 relative error = 9.793342284183914e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y2[1] (analytic) = 1.581087247568568 y2[1] (numeric) = 1.581087247568536 absolute error = 3.241851231905457e-14 relative error = 2.050393636967758e-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] = 0.6300480000000406 y1[1] (analytic) = 1.80799922843291 y1[1] (numeric) = 1.807999228432929 absolute error = 1.865174681370263e-14 relative error = 1.031623604721839e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.589183542583992 y2[1] (numeric) = 1.589183542583959 absolute error = 3.26405569239796e-14 relative error = 2.053919893413097e-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] = 0.6400320000000419 y1[1] (analytic) = 1.802076647219474 y1[1] (numeric) = 1.802076647219494 absolute error = 1.976196983832779e-14 relative error = 1.096622048169796e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.59722110812091 y2[1] (numeric) = 1.597221108120875 absolute error = 3.441691376337985e-14 relative error = 2.154799582123635e-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] = 0.6500160000000432 y1[1] (analytic) = 1.79607411546464 y1[1] (numeric) = 1.79607411546466 absolute error = 2.065014825802791e-14 relative error = 1.149738091553409e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.605199142999386 y2[1] (numeric) = 1.605199142999351 absolute error = 3.530509218307998e-14 relative error = 2.199421320217679e-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] = 0.6600000000000446 y1[1] (analytic) = 1.789992231497338 y1[1] (numeric) = 1.789992231497359 absolute error = 2.153832667772804e-14 relative error = 1.203263695715099e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.613116851973469 y2[1] (numeric) = 1.613116851973433 absolute error = 3.597122599785507e-14 relative error = 2.229920662836563e-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] = 0.6701120000000459 y1[1] (analytic) = 1.783752110534289 y1[1] (numeric) = 1.783752110534313 absolute error = 2.398081733190338e-14 relative error = 1.344403024965189e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.621073771168167 y2[1] (numeric) = 1.621073771168131 absolute error = 3.530509218307998e-14 relative error = 2.177883129750392e-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] = 0.6800960000000472 y1[1] (analytic) = 1.77751235103763 y1[1] (numeric) = 1.777512351037654 absolute error = 2.442490654175344e-14 relative error = 1.374106150513964e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.628867668101913 y2[1] (numeric) = 1.628867668101877 absolute error = 3.552713678800501e-14 relative error = 2.181094111187318e-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] = 0.6900800000000485 y1[1] (analytic) = 1.771195089554565 y1[1] (numeric) = 1.771195089554591 absolute error = 2.620126338115369e-14 relative error = 1.479298555854906e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.63659887986622 y2[1] (numeric) = 1.636598879866184 absolute error = 3.597122599785507e-14 relative error = 2.197925615151065e-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] = 0.7000640000000499 y1[1] (analytic) = 1.764800955786104 y1[1] (numeric) = 1.764800955786132 absolute error = 2.753353101070388e-14 relative error = 1.560149370977617e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.644266635818324 y2[1] (numeric) = 1.644266635818287 absolute error = 3.752553823233029e-14 relative error = 2.282205173715907e-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] = 0.7100480000000512 y1[1] (analytic) = 1.758330587095845 y1[1] (numeric) = 1.758330587095873 absolute error = 2.864375403532904e-14 relative error = 1.629031209804445e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.651870171640696 y2[1] (numeric) = 1.651870171640659 absolute error = 3.730349362740526e-14 relative error = 2.258258201390857e-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] = 0.7200320000000525 y1[1] (analytic) = 1.751784628446436 y1[1] (numeric) = 1.751784628446466 absolute error = 2.953193245502916e-14 relative error = 1.685819819141777e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.659408729417236 y2[1] (numeric) = 1.659408729417198 absolute error = 3.819167204710538e-14 relative error = 2.301522908133539e-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] = 0.7300160000000538 y1[1] (analytic) = 1.745163732335293 y1[1] (numeric) = 1.745163732335324 absolute error = 3.153033389935445e-14 relative error = 1.806726401376798e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.666881557708816 y2[1] (numeric) = 1.666881557708777 absolute error = 3.863576125695545e-14 relative error = 2.317846824705505e-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] = 0.7400000000000552 y1[1] (analytic) = 1.738468558729551 y1[1] (numeric) = 1.738468558729584 absolute error = 3.308464613382966e-14 relative error = 1.903091428815225e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.674287911628186 y2[1] (numeric) = 1.674287911628146 absolute error = 3.996802888650564e-14 relative error = 2.38716582786757e-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] = 0.7501120000000565 y1[1] (analytic) = 1.731612520743667 y1[1] (numeric) = 1.731612520743701 absolute error = 3.419486915845482e-14 relative error = 1.974741389821398e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.68172070490128 y2[1] (numeric) = 1.68172070490124 absolute error = 3.996802888650564e-14 relative error = 2.376615140077724e-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] = 0.7600960000000578 y1[1] (analytic) = 1.724769870942192 y1[1] (numeric) = 1.724769870942227 absolute error = 3.530509218307998e-14 relative error = 2.046945089769792e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.688991026192967 y2[1] (numeric) = 1.688991026192928 absolute error = 3.996802888650564e-14 relative error = 2.366384916596903e-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] = 0.7700800000000592 y1[1] (analytic) = 1.717854976494557 y1[1] (numeric) = 1.717854976494593 absolute error = 3.552713678800501e-14 relative error = 2.068110362872507e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.696192669253274 y2[1] (numeric) = 1.696192669253233 absolute error = 4.152234112098085e-14 relative error = 2.447973150317912e-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] = 0.7800640000000605 y1[1] (analytic) = 1.710868526673486 y1[1] (numeric) = 1.710868526673523 absolute error = 3.68594044175552e-14 relative error = 2.154426470701551e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.703324916226539 y2[1] (numeric) = 1.703324916226495 absolute error = 4.329869796038111e-14 relative error = 2.542010484781899e-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] = 0.7900480000000618 y1[1] (analytic) = 1.703811217884299 y1[1] (numeric) = 1.703811217884338 absolute error = 3.841371665203042e-14 relative error = 2.254575873712728e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.710387056174463 y2[1] (numeric) = 1.710387056174418 absolute error = 4.507505479978136e-14 relative error = 2.635371604167683e-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] = 0.8000320000000631 y1[1] (analytic) = 1.696683753595501 y1[1] (numeric) = 1.696683753595541 absolute error = 3.952393967665557e-14 relative error = 2.329481825525766e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.717378385146976 y2[1] (numeric) = 1.71737838514693 absolute error = 4.529709940470639e-14 relative error = 2.637572464895661e-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] = 0.8100160000000645 y1[1] (analytic) = 1.689486844268655 y1[1] (numeric) = 1.689486844268696 absolute error = 4.130029651605582e-14 relative error = 2.444546795742224e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.724298206252405 y2[1] (numeric) = 1.724298206252358 absolute error = 4.685141163918161e-14 relative error = 2.717129291748706e-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] = 0.8200000000000658 y1[1] (analytic) = 1.682221207287566 y1[1] (numeric) = 1.682221207287607 absolute error = 4.196643033083092e-14 relative error = 2.494703440250769e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.731145829726941 y2[1] (numeric) = 1.731145829726893 absolute error = 4.796163466380676e-14 relative error = 2.770513831949785e-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] = 0.8301120000000671 y1[1] (analytic) = 1.674793107525005 y1[1] (numeric) = 1.674793107525047 absolute error = 4.196643033083092e-14 relative error = 2.505768034408056e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.738006952566672 y2[1] (numeric) = 1.738006952566624 absolute error = 4.818367926873179e-14 relative error = 2.772352503974428e-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] = 0.8400960000000685 y1[1] (analytic) = 1.667391337026181 y1[1] (numeric) = 1.667391337026225 absolute error = 4.39648317751562e-14 relative error = 2.636743444617397e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.744707192970772 y2[1] (numeric) = 1.744707192970723 absolute error = 4.929390229335695e-14 relative error = 2.825339546484162e-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] = 0.8500800000000698 y1[1] (analytic) = 1.659923041340637 y1[1] (numeric) = 1.659923041340683 absolute error = 4.596323321948148e-14 relative error = 2.768997843560222e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.751333201387856 y2[1] (numeric) = 1.751333201387807 absolute error = 4.907185768843192e-14 relative error = 2.801971529435095e-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] = 0.8600640000000711 y1[1] (analytic) = 1.652388964903814 y1[1] (numeric) = 1.652388964903861 absolute error = 4.75175454539567e-14 relative error = 2.875687653646532e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.757884317341196 y2[1] (numeric) = 1.757884317341146 absolute error = 4.996003610813204e-14 relative error = 2.842054827799859e-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] = 0.8700480000000724 y1[1] (analytic) = 1.644789858708143 y1[1] (numeric) = 1.644789858708191 absolute error = 4.840572387365683e-14 relative error = 2.94297314744364e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.764359887819301 y2[1] (numeric) = 1.76435988781925 absolute error = 5.040412531798211e-14 relative error = 2.856793881223416e-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] = 0.8800320000000738 y1[1] (analytic) = 1.637126480228182 y1[1] (numeric) = 1.637126480228232 absolute error = 5.040412531798211e-14 relative error = 3.078816812672703e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.770759267341009 y2[1] (numeric) = 1.770759267340958 absolute error = 5.040412531798211e-14 relative error = 2.846469661213152e-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] = 0.8900160000000751 y1[1] (analytic) = 1.629399593345114 y1[1] (numeric) = 1.629399593345165 absolute error = 5.151434834260726e-14 relative error = 3.161554019836821e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.777081818019831 y2[1] (numeric) = 1.77708181801978 absolute error = 5.10702591327572e-14 relative error = 2.873827114480516e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 0.9000000000000764 y1[1] (analytic) = 1.621609968270604 y1[1] (numeric) = 1.621609968270658 absolute error = 5.306866057708248e-14 relative error = 3.2725909198547e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.783326909627531 y2[1] (numeric) = 1.783326909627479 absolute error = 5.173639294753229e-14 relative error = 2.901116596638923e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 0.9101120000000777 y1[1] (analytic) = 1.613657321220676 y1[1] (numeric) = 1.61365732122073 absolute error = 5.395683899678261e-14 relative error = 3.343760678752172e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.78957247426203 y2[1] (numeric) = 1.789572474261977 absolute error = 5.262457136723242e-14 relative error = 2.940622529910857e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 0.9200960000000791 y1[1] (analytic) = 1.605743776096374 y1[1] (numeric) = 1.60574377609643 absolute error = 5.573319583618286e-14 relative error = 3.470864820766886e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.79565977510523 y2[1] (numeric) = 1.795659775105177 absolute error = 5.329070518200751e-14 relative error = 2.967750679768084e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 0.9300800000000804 y1[1] (analytic) = 1.597769850778963 y1[1] (numeric) = 1.59776985077902 absolute error = 5.750955267558311e-14 relative error = 3.59936399147508e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.801667765037173 y2[1] (numeric) = 1.80166776503712 absolute error = 5.351274978693255e-14 relative error = 2.970178565959326e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 0.9400640000000817 y1[1] (analytic) = 1.589736340104756 y1[1] (numeric) = 1.589736340104813 absolute error = 5.773159728050814e-14 relative error = 3.63152026056748e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.80759584518486 y2[1] (numeric) = 1.807595845184806 absolute error = 5.329070518200751e-14 relative error = 2.948153776960998e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 0.950048000000083 y1[1] (analytic) = 1.581644044849502 y1[1] (numeric) = 1.581644044849562 absolute error = 5.995204332975845e-14 relative error = 3.790488986759537e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.813443424640651 y2[1] (numeric) = 1.813443424640597 absolute error = 5.351274978693255e-14 relative error = 2.950891605429408e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 0.9600320000000844 y1[1] (analytic) = 1.573493771648564 y1[1] (numeric) = 1.573493771648626 absolute error = 6.195044477408373e-14 relative error = 3.937126786919384e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.819209920521172 y2[1] (numeric) = 1.819209920521118 absolute error = 5.373479439185758e-14 relative error = 2.953743478732982e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 0.9700160000000857 y1[1] (analytic) = 1.565286332916513 y1[1] (numeric) = 1.565286332916576 absolute error = 6.350475700855895e-14 relative error = 4.057069666623487e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.824894758025411 y2[1] (numeric) = 1.824894758025358 absolute error = 5.373479439185758e-14 relative error = 2.94454209786871e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 0.980000000000087 y1[1] (analytic) = 1.557022546766145 y1[1] (numeric) = 1.557022546766209 absolute error = 6.417089082333405e-14 relative error = 4.121384815949753e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.830497370492019 y2[1] (numeric) = 1.830497370491965 absolute error = 5.417888360170764e-14 relative error = 2.959790299351531e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 0.9901120000000884 y1[1] (analytic) = 1.548596222230723 y1[1] (numeric) = 1.54859622223079 absolute error = 6.639133687258436e-14 relative error = 4.287194810339192e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.836087426621271 y2[1] (numeric) = 1.836087426621217 absolute error = 5.373479439185758e-14 relative error = 2.926592362256911e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.00009600000009 y1[1] (analytic) = 1.540221522163934 y1[1] (numeric) = 1.540221522164003 absolute error = 6.905587213168474e-14 relative error = 4.483502609070461e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.84152284995173 y2[1] (numeric) = 1.841522849951676 absolute error = 5.373479439185758e-14 relative error = 2.917954256894834e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.010080000000082 y1[1] (analytic) = 1.531792973124834 y1[1] (numeric) = 1.531792973124898 absolute error = 6.372680161348399e-14 relative error = 4.160275097977651e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.846874390765862 y2[1] (numeric) = 1.846874390765812 absolute error = 4.951594689828198e-14 relative error = 2.6810673831342e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.020064000000075 y1[1] (analytic) = 1.523311415266365 y1[1] (numeric) = 1.523311415266423 absolute error = 5.81756864903582e-14 relative error = 3.819027803988829e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.852141515625142 y2[1] (numeric) = 1.852141515625098 absolute error = 4.440892098500626e-14 relative error = 2.397706687656487e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.030048000000068 y1[1] (analytic) = 1.514777694025361 y1[1] (numeric) = 1.514777694025413 absolute error = 5.195843755245733e-14 relative error = 3.430103160179452e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.857323699505579 y2[1] (numeric) = 1.857323699505539 absolute error = 3.97459842815806e-14 relative error = 2.13996000224199e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.04003200000006 y1[1] (analytic) = 1.506192660038275 y1[1] (numeric) = 1.506192660038321 absolute error = 4.618527782440651e-14 relative error = 3.066359241402283e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.862420425850047 y2[1] (numeric) = 1.862420425850011 absolute error = 3.508304757815495e-14 relative error = 1.883734042604388e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.050016000000053 y1[1] (analytic) = 1.497557169056383 y1[1] (numeric) = 1.497557169056424 absolute error = 4.085620730620576e-14 relative error = 2.728190158640116e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.867431186619779 y2[1] (numeric) = 1.867431186619749 absolute error = 3.042011087472929e-14 relative error = 1.628981624206055e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.060000000000046 y1[1] (analytic) = 1.488872081860488 y1[1] (numeric) = 1.488872081860523 absolute error = 3.508304757815495e-14 relative error = 2.356350690269867e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.872355482345009 y2[1] (numeric) = 1.872355482344981 absolute error = 2.753353101070388e-14 relative error = 1.470529035235331e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.070112000000038 y1[1] (analytic) = 1.480025979560888 y1[1] (numeric) = 1.480025979560917 absolute error = 2.90878432451791e-14 relative error = 1.965360314405375e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.877254272686437 y2[1] (numeric) = 1.877254272686413 absolute error = 2.398081733190338e-14 relative error = 1.27744108407785e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.080096000000031 y1[1] (analytic) = 1.471243694052501 y1[1] (numeric) = 1.471243694052524 absolute error = 2.287059430727822e-14 relative error = 1.554507550294526e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.882003050343791 y2[1] (numeric) = 1.882003050343772 absolute error = 1.953992523340276e-14 relative error = 1.038251517702553e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.090080000000023 y1[1] (analytic) = 1.462414435242247 y1[1] (numeric) = 1.462414435242263 absolute error = 1.687538997430238e-14 relative error = 1.15394033097786e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.886663910441603 y2[1] (numeric) = 1.886663910441586 absolute error = 1.665334536937735e-14 relative error = 8.826874398355019e-13 % Desired digits = 10 Estimated correct digits = 10 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] = 1.100064000000016 y1[1] (analytic) = 1.453539083225593 y1[1] (numeric) = 1.453539083225604 absolute error = 1.043609643147647e-14 relative error = 7.179783847516098e-13 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 15 h = 0.000128 y2[1] (analytic) = 1.891236388388001 y2[1] (numeric) = 1.891236388387988 absolute error = 1.332267629550188e-14 relative error = 7.044426797888277e-13 % Desired digits = 10 Estimated correct digits = 10 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] = 1.110048000000009 y1[1] (analytic) = 1.444618522692553 y1[1] (numeric) = 1.444618522692558 absolute error = 4.884981308350689e-15 relative error = 3.381502612361508e-13 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 15 h = 0.000128 y2[1] (analytic) = 1.895720028401002 y2[1] (numeric) = 1.895720028400991 absolute error = 1.06581410364015e-14 relative error = 5.622212603509501e-13 % Desired digits = 10 Estimated correct digits = 10 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] = 1.120032000000001 y1[1] (analytic) = 1.435653642839497 y1[1] (numeric) = 1.435653642839495 absolute error = 1.110223024625157e-15 relative error = 7.733223331146295e-14 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 16 h = 0.000128 y2[1] (analytic) = 1.900114383553933 y2[1] (numeric) = 1.900114383553925 absolute error = 7.549516567451064e-15 relative error = 3.973190578838003e-13 % Desired digits = 10 Estimated correct digits = 10 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] = 1.130015999999994 y1[1] (analytic) = 1.426645337280521 y1[1] (numeric) = 1.426645337280512 absolute error = 8.43769498715119e-15 relative error = 5.914360609929284e-13 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 15 h = 0.000128 y2[1] (analytic) = 1.904419015819985 y2[1] (numeric) = 1.904419015819981 absolute error = 4.662936703425657e-15 relative error = 2.448482537031346e-13 % Desired digits = 10 Estimated correct digits = 10 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] = 1.140127999999987 y1[1] (analytic) = 1.417478195450251 y1[1] (numeric) = 1.417478195450235 absolute error = 1.598721155460225e-14 relative error = 1.127862961555048e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.908686940768713 y2[1] (numeric) = 1.908686940768712 absolute error = 8.881784197001252e-16 relative error = 4.653347810628475e-14 % Desired digits = 10 Estimated correct digits = 10 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] = 1.150111999999979 y1[1] (analytic) = 1.408385208761048 y1[1] (numeric) = 1.408385208761024 absolute error = 2.309263891220326e-14 relative error = 1.639653609577296e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.91280968512894 y2[1] (numeric) = 1.912809685128942 absolute error = 1.554312234475219e-15 relative error = 8.125807008188819e-14 % Desired digits = 10 Estimated correct digits = 10 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] = 1.160095999999972 y1[1] (analytic) = 1.399251514467835 y1[1] (numeric) = 1.399251514467807 absolute error = 2.886579864025407e-14 relative error = 2.062945677870667e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.916841441141891 y2[1] (numeric) = 1.916841441141896 absolute error = 4.440892098500626e-15 relative error = 2.316775922715402e-13 % Desired digits = 10 Estimated correct digits = 10 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] = 1.170079999999965 y1[1] (analytic) = 1.390078023012037 y1[1] (numeric) = 1.390078023012001 absolute error = 3.641531520770513e-14 relative error = 2.619659803613038e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.920781806924431 y2[1] (numeric) = 1.920781806924438 absolute error = 6.883382752675971e-15 relative error = 3.583635958994056e-13 % Desired digits = 10 Estimated correct digits = 10 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] = 1.180063999999957 y1[1] (analytic) = 1.380865648802033 y1[1] (numeric) = 1.380865648801991 absolute error = 4.241051954068098e-14 relative error = 3.071299483586555e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.924630389703154 y2[1] (numeric) = 1.924630389703162 absolute error = 8.659739592076221e-15 relative error = 4.49942993647308e-13 % Desired digits = 10 Estimated correct digits = 10 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] = 1.19004799999995 y1[1] (analytic) = 1.371615310122016 y1[1] (numeric) = 1.371615310121967 absolute error = 4.973799150320701e-14 relative error = 3.626234785814866e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.928386805853529 y2[1] (numeric) = 1.92838680585354 absolute error = 1.154631945610163e-14 relative error = 5.987553649015494e-13 % Desired digits = 10 Estimated correct digits = 10 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] = 1.200031999999943 y1[1] (analytic) = 1.362327929040454 y1[1] (numeric) = 1.362327929040397 absolute error = 5.706546346573305e-14 relative error = 4.188819905199088e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.932050680938143 y2[1] (numeric) = 1.932050680938156 absolute error = 1.332267629550188e-14 relative error = 6.895614295704089e-13 % Desired digits = 10 Estimated correct digits = 10 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] = 1.210015999999935 y1[1] (analytic) = 1.35300443131818 y1[1] (numeric) = 1.353004431318117 absolute error = 6.350475700855895e-14 relative error = 4.693610422745527e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.935621649744024 y2[1] (numeric) = 1.935621649744039 absolute error = 1.576516694967722e-14 relative error = 8.144756467134003e-13 % Desired digits = 10 Estimated correct digits = 10 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] = 1.220127999999928 y1[1] (analytic) = 1.343525538783688 y1[1] (numeric) = 1.343525538783618 absolute error = 7.038813976123492e-14 relative error = 5.239062282728043e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.939143335281349 y2[1] (numeric) = 1.939143335281368 absolute error = 1.820765760385257e-14 relative error = 9.389536746756695e-13 % Desired digits = 10 Estimated correct digits = 10 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] = 1.230111999999921 y1[1] (analytic) = 1.334132166282643 y1[1] (numeric) = 1.334132166282565 absolute error = 7.749356711883593e-14 relative error = 5.808537495558632e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.942526230645741 y2[1] (numeric) = 1.942526230645761 absolute error = 2.042810365310288e-14 relative error = 1.051625627022401e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.240095999999913 y1[1] (analytic) = 1.324705487678389 y1[1] (numeric) = 1.324705487678304 absolute error = 8.504308368628699e-14 relative error = 6.419772883656512e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.945815175534596 y2[1] (numeric) = 1.945815175534618 absolute error = 2.19824158875781e-14 relative error = 1.12972784691838e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.250079999999906 y1[1] (analytic) = 1.315246442616859 y1[1] (numeric) = 1.315246442616766 absolute error = 9.259260025373806e-14 relative error = 7.039943029194794e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.94900984210777 y2[1] (numeric) = 1.949009842107794 absolute error = 2.331468351712829e-14 relative error = 1.196232210501023e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.260063999999899 y1[1] (analytic) = 1.305755973970253 y1[1] (numeric) = 1.305755973970152 absolute error = 1.003641614261142e-13 relative error = 7.686287746472957e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.952109911922727 y2[1] (numeric) = 1.952109911922751 absolute error = 2.464695114667848e-14 relative error = 1.26258009326957e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.270047999999891 y1[1] (analytic) = 1.296235027743057 y1[1] (numeric) = 1.29623502774295 absolute error = 1.070254995738651e-13 relative error = 8.256643068827792e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.955115075966279 y2[1] (numeric) = 1.955115075966305 absolute error = 2.642330798607873e-14 relative error = 1.351496303767158e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.280031999999884 y1[1] (analytic) = 1.286684552977744 y1[1] (numeric) = 1.28668455297763 absolute error = 1.141309269314661e-13 relative error = 8.870155988687011e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.958025034685394 y2[1] (numeric) = 1.958025034685422 absolute error = 2.753353101070388e-14 relative error = 1.406188916023121e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.290015999999877 y1[1] (analytic) = 1.277105501660178 y1[1] (numeric) = 1.277105501660057 absolute error = 1.210143096841421e-13 relative error = 9.475670532060904e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.960839498017052 y2[1] (numeric) = 1.960839498017081 absolute error = 2.886579864025407e-14 relative error = 1.472114299484753e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.300127999999869 y1[1] (analytic) = 1.267375490985966 y1[1] (numeric) = 1.267375490985839 absolute error = 1.27897692436818e-13 relative error = 1.009153903846751e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.96359241737366 y2[1] (numeric) = 1.96359241737369 absolute error = 3.042011087472929e-14 relative error = 1.549206984381042e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.310111999999862 y1[1] (analytic) = 1.257741818201213 y1[1] (numeric) = 1.257741818201078 absolute error = 1.352251643993441e-13 relative error = 1.075142469165407e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.96621382475637 y2[1] (numeric) = 1.966213824756401 absolute error = 3.130828929442941e-14 relative error = 1.592313557164047e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.320095999999854 y1[1] (analytic) = 1.248082453859453 y1[1] (numeric) = 1.248082453859309 absolute error = 1.436628593864953e-13 relative error = 1.151068656900397e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.968738920497712 y2[1] (numeric) = 1.968738920497744 absolute error = 3.219646771412954e-14 relative error = 1.63538534129198e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.330079999999847 y1[1] (analytic) = 1.238398360800598 y1[1] (numeric) = 1.238398360800447 absolute error = 1.503241975342462e-13 relative error = 1.213859790940493e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.971167452897588 y2[1] (numeric) = 1.97116745289762 absolute error = 3.219646771412954e-14 relative error = 1.633370501669008e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.34006399999984 y1[1] (analytic) = 1.228690504329504 y1[1] (numeric) = 1.228690504329347 absolute error = 1.572075802869222e-13 relative error = 1.279472574525269e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.973499179881276 y2[1] (numeric) = 1.973499179881308 absolute error = 3.219646771412954e-14 relative error = 1.631440643216606e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.350047999999832 y1[1] (analytic) = 1.218959852119752 y1[1] (numeric) = 1.218959852119587 absolute error = 1.643130076445232e-13 relative error = 1.347977190214965e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.975733869023566 y2[1] (numeric) = 1.975733869023597 absolute error = 3.197442310920451e-14 relative error = 1.618356784307529e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.360031999999825 y1[1] (analytic) = 1.209207374117188 y1[1] (numeric) = 1.209207374117016 absolute error = 1.718625242119742e-13 relative error = 1.421282468918508e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.97787129757192 y2[1] (numeric) = 1.977871297571952 absolute error = 3.175237850427948e-14 relative error = 1.605381429178907e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.370015999999818 y1[1] (analytic) = 1.19943404244324 y1[1] (numeric) = 1.199434042443061 absolute error = 1.787459069646502e-13 relative error = 1.490252074224489e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.979911252468685 y2[1] (numeric) = 1.979911252468717 absolute error = 3.175237850427948e-14 relative error = 1.603727362258712e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.38012799999981 y1[1] (analytic) = 1.189515152492938 y1[1] (numeric) = 1.189515152492752 absolute error = 1.867395127419513e-13 relative error = 1.569879226427592e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.98187779635532 y2[1] (numeric) = 1.981877796355351 absolute error = 3.175237850427948e-14 relative error = 1.602136043033138e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.390111999999803 y1[1] (analytic) = 1.179702802054378 y1[1] (numeric) = 1.179702802054184 absolute error = 1.934008508897023e-13 relative error = 1.639403166228875e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.983720947694927 y2[1] (numeric) = 1.983720947694958 absolute error = 3.108624468950438e-14 relative error = 1.567067420729031e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.400095999999796 y1[1] (analytic) = 1.1698725389433 y1[1] (numeric) = 1.169872538943099 absolute error = 2.009503674571533e-13 relative error = 1.717711637531589e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.985466042293166 y2[1] (numeric) = 1.985466042293197 absolute error = 3.019806626980426e-14 relative error = 1.520956069081202e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.410079999999788 y1[1] (analytic) = 1.160025343034709 y1[1] (numeric) = 1.160025343034501 absolute error = 2.082778394196794e-13 relative error = 1.795459389488937e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.987112906200007 y2[1] (numeric) = 1.987112906200036 absolute error = 2.886579864025407e-14 relative error = 1.452650151392488e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.420063999999781 y1[1] (analytic) = 1.150162195891461 y1[1] (numeric) = 1.150162195891245 absolute error = 2.162714451969805e-13 relative error = 1.880356057341583e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.988661375256996 y2[1] (numeric) = 1.988661375257024 absolute error = 2.797762022055394e-14 relative error = 1.406856922382695e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.430047999999774 y1[1] (analytic) = 1.140284080666421 y1[1] (numeric) = 1.140284080666197 absolute error = 2.240430063693566e-13 relative error = 1.964799914056664e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.990111295113624 y2[1] (numeric) = 1.990111295113649 absolute error = 2.55351295663786e-14 relative error = 1.283100579805548e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.440031999999766 y1[1] (analytic) = 1.130391982004463 y1[1] (numeric) = 1.130391982004231 absolute error = 2.320366121466577e-13 relative error = 2.052709288818553e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.991462521242708 y2[1] (numeric) = 1.991462521242732 absolute error = 2.375877272697835e-14 relative error = 1.193031376365167e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.450015999999759 y1[1] (analytic) = 1.120486885944326 y1[1] (numeric) = 1.120486885944086 absolute error = 2.400302179239588e-13 relative error = 2.142195691310263e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.992714918954802 y2[1] (numeric) = 1.992714918954824 absolute error = 2.19824158875781e-14 relative error = 1.103139022972141e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.460127999999752 y1[1] (analytic) = 1.11044256376436 y1[1] (numeric) = 1.110442563764112 absolute error = 2.471356452815598e-13 relative error = 2.225559910489914e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.993882508201626 y2[1] (numeric) = 1.993882508201646 absolute error = 2.020605904817785e-14 relative error = 1.013402693742602e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.470111999999744 y1[1] (analytic) = 1.100514301229119 y1[1] (numeric) = 1.100514301228865 absolute error = 2.544631172440859e-13 relative error = 2.312219995322973e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.994935613619505 y2[1] (numeric) = 1.994935613619525 absolute error = 1.953992523340276e-14 relative error = 9.794764853563644e-13 % Desired digits = 10 Estimated correct digits = 10 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] = 1.480095999999737 y1[1] (analytic) = 1.090576019485828 y1[1] (numeric) = 1.090576019485566 absolute error = 2.615685446016869e-13 relative error = 2.398443940891055e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.995889544424533 y2[1] (numeric) = 1.995889544424549 absolute error = 1.643130076445232e-14 relative error = 8.232570189243559e-13 % Desired digits = 10 Estimated correct digits = 10 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] = 1.49007999999973 y1[1] (analytic) = 1.080628709176725 y1[1] (numeric) = 1.080628709176455 absolute error = 2.69340105774063e-13 relative error = 2.492438924552165e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.99674420552943 y2[1] (numeric) = 1.996744205529445 absolute error = 1.443289932012704e-14 relative error = 7.228216453644445e-13 % Desired digits = 10 Estimated correct digits = 10 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] = 1.500063999999722 y1[1] (analytic) = 1.070673361844011 y1[1] (numeric) = 1.070673361843734 absolute error = 2.76889622341514e-13 relative error = 2.586126004523262e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.997499511742069 y2[1] (numeric) = 1.99749951174208 absolute error = 1.176836406102666e-14 relative error = 5.891547903690439e-13 % Desired digits = 10 Estimated correct digits = 10 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] = 1.510047999999715 y1[1] (analytic) = 1.060710969831015 y1[1] (numeric) = 1.060710969830731 absolute error = 2.83995049699115e-13 relative error = 2.677402777727086e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.998155387773957 y2[1] (numeric) = 1.998155387773966 absolute error = 9.547918011776346e-15 relative error = 4.778366122172909e-13 % Desired digits = 10 Estimated correct digits = 10 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] = 1.520031999999708 y1[1] (analytic) = 1.050742526183273 y1[1] (numeric) = 1.050742526182981 absolute error = 2.919886554764162e-13 relative error = 2.778879203995279e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.998711768247746 y2[1] (numeric) = 1.998711768247753 absolute error = 7.105427357601002e-15 relative error = 3.555003513002913e-13 % Desired digits = 10 Estimated correct digits = 10 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] = 1.5300159999997 y1[1] (analytic) = 1.040769024549546 y1[1] (numeric) = 1.040769024549246 absolute error = 3.004263504635674e-13 relative error = 2.886580435977083e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.99916859770375 y2[1] (numeric) = 1.999168597703754 absolute error = 3.774758283725532e-15 relative error = 1.88816405382779e-13 % Desired digits = 10 Estimated correct digits = 10 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] = 1.540127999999693 y1[1] (analytic) = 1.030663519524561 y1[1] (numeric) = 1.030663519524254 absolute error = 3.075317778211684e-13 relative error = 2.983823255557069e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.999529763724106 y2[1] (numeric) = 1.999529763724106 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 10 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] = 1.550111999999686 y1[1] (analytic) = 1.020682851891627 y1[1] (numeric) = 1.020682851891312 absolute error = 3.146372051787694e-13 relative error = 3.082614786715126e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.999786086939416 y2[1] (numeric) = 1.999786086939414 absolute error = 1.998401444325282e-15 relative error = 9.993076046367274e-14 % Desired digits = 10 Estimated correct digits = 10 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] = 1.560095999999678 y1[1] (analytic) = 1.010700122603846 y1[1] (numeric) = 1.010700122603525 absolute error = 3.215205879314453e-13 relative error = 3.18116700236583e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.999942752049467 y2[1] (numeric) = 1.999942752049463 absolute error = 4.884981308350689e-15 relative error = 2.442560569968686e-13 % Desired digits = 10 Estimated correct digits = 10 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] = 1.570079999999671 y1[1] (analytic) = 1.000716326733965 y1[1] (numeric) = 1.000716326733637 absolute error = 3.275157922644212e-13 relative error = 3.272813518825395e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.999999743437972 y2[1] (numeric) = 1.999999743437965 absolute error = 7.105427357601002e-15 relative error = 3.552714134546272e-13 % Desired digits = 10 Estimated correct digits = 10 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] = 1.580063999999664 y1[1] (analytic) = 0.9907324594610448 y1[1] (numeric) = 0.9907324594607102 absolute error = 3.346212196220222e-13 relative error = 3.377513438936431e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.999957055424061 y2[1] (numeric) = 1.99995705542405 absolute error = 1.088018564132653e-14 relative error = 5.440209634411151e-13 % Desired digits = 10 Estimated correct digits = 10 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] = 1.590047999999656 y1[1] (analytic) = 0.9807495159712645 y1[1] (numeric) = 0.9807495159709225 absolute error = 3.419486915845482e-13 relative error = 3.486605764428102e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.999814692262851 y2[1] (numeric) = 1.999814692262836 absolute error = 1.48769885299771e-14 relative error = 7.439183534122021e-13 % Desired digits = 10 Estimated correct digits = 10 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] = 1.600031999999649 y1[1] (analytic) = 0.9707684913587206 y1[1] (numeric) = 0.9707684913583713 absolute error = 3.492761635470742e-13 relative error = 3.597934694586301e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.99957266814502 y2[1] (numeric) = 1.999572668145002 absolute error = 1.798561299892754e-14 relative error = 8.994728366442703e-13 % Desired digits = 10 Estimated correct digits = 10 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] = 1.610015999999642 y1[1] (analytic) = 0.9607903805262373 y1[1] (numeric) = 0.9607903805258814 absolute error = 3.559375016948252e-13 relative error = 3.704632237261509e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.999231007195394 y2[1] (numeric) = 1.999231007195373 absolute error = 2.131628207280301e-14 relative error = 1.066224062956406e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.620127999999634 y1[1] (analytic) = 0.9506883334022938 y1[1] (numeric) = 0.950688333401931 absolute error = 3.627098621450386e-13 relative error = 3.815234177188058e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.998783439759269 y2[1] (numeric) = 1.998783439759244 absolute error = 2.486899575160351e-14 relative error = 1.244206613728934e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.630111999999627 y1[1] (analytic) = 0.9407191028844364 y1[1] (numeric) = 0.9407191028840672 absolute error = 3.691491556878645e-13 relative error = 3.924116716201234e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.998241341178161 y2[1] (numeric) = 1.998241341178131 absolute error = 3.019806626980426e-14 relative error = 1.511232184396681e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.640095999999619 y1[1] (analytic) = 0.9307557814524942 y1[1] (numeric) = 0.9307557814521179 absolute error = 3.762545830454656e-13 relative error = 4.042463023525894e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.997599738471169 y2[1] (numeric) = 1.997599738471134 absolute error = 3.486100297322992e-14 relative error = 1.745144550324692e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.650079999999612 y1[1] (analytic) = 0.9207993622446483 y1[1] (numeric) = 0.9207993622442653 absolute error = 3.83026943495679e-13 relative error = 4.159722076283456e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.996858695592884 y2[1] (numeric) = 1.996858695592845 absolute error = 3.863576125695545e-14 relative error = 1.934827003143764e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.660063999999605 y1[1] (analytic) = 0.9108508377110704 y1[1] (numeric) = 0.910850837710681 absolute error = 3.894662370385049e-13 relative error = 4.275850895819749e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.996018286410035 y2[1] (numeric) = 1.996018286409992 absolute error = 4.241051954068098e-14 relative error = 2.124756062077917e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.670047999999597 y1[1] (analytic) = 0.9009111995149952 y1[1] (numeric) = 0.9009111995145987 absolute error = 3.964606420936434e-13 relative error = 4.40066282123119e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.995078594694129 y2[1] (numeric) = 1.995078594694082 absolute error = 4.729550084903167e-14 relative error = 2.37060840484245e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.68003199999959 y1[1] (analytic) = 0.8909814384338726 y1[1] (numeric) = 0.8909814384334697 absolute error = 4.028999356364693e-13 relative error = 4.521979002667764e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.994039714113099 y2[1] (numeric) = 1.994039714113046 absolute error = 5.306866057708248e-14 relative error = 2.661364274817673e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.690015999999583 y1[1] (analytic) = 0.8810625442606072 y1[1] (numeric) = 0.8810625442601974 absolute error = 4.097833183891453e-13 relative error = 4.651012814680913e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.992901748221968 y2[1] (numeric) = 1.99290174822191 absolute error = 5.750955267558311e-14 relative error = 2.885719415264306e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.700127999999575 y1[1] (analytic) = 0.8710285736649992 y1[1] (numeric) = 0.8710285736645826 absolute error = 4.165556788393587e-13 relative error = 4.782342295461453e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.99164831023358 y2[1] (numeric) = 1.991648310233518 absolute error = 6.283862319378386e-14 relative error = 3.155106394582995e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.710111999999568 y1[1] (analytic) = 0.861134549316485 y1[1] (numeric) = 0.8611345493160619 absolute error = 4.231059946846472e-13 relative error = 4.913355236071789e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.990311257437006 y2[1] (numeric) = 1.990311257436938 absolute error = 6.794564910705958e-14 relative error = 3.413820268220539e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.720095999999561 y1[1] (analytic) = 0.8512543669966626 y1[1] (numeric) = 0.8512543669962326 absolute error = 4.299893774373231e-13 relative error = 5.051244306145321e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.988875490980759 y2[1] (numeric) = 1.988875490980686 absolute error = 7.238654120556021e-14 relative error = 3.639571282054705e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.730079999999553 y1[1] (analytic) = 0.8413890115564538 y1[1] (numeric) = 0.8413890115560173 absolute error = 4.365396932826116e-13 relative error = 5.188321778472876e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.987341153981217 y2[1] (numeric) = 1.987341153981139 absolute error = 7.838174553853605e-14 relative error = 3.944050843083224e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.740063999999546 y1[1] (analytic) = 0.8315394663688461 y1[1] (numeric) = 0.8315394663684025 absolute error = 4.436451206402126e-13 relative error = 5.335226271069433e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.985708399380216 y2[1] (numeric) = 1.985708399380132 absolute error = 8.348877145181177e-14 relative error = 4.204482968288319e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.750047999999539 y1[1] (analytic) = 0.8217067132308695 y1[1] (numeric) = 0.8217067132304193 absolute error = 4.50195436485501e-13 relative error = 5.478784939158852e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.983977389929799 y2[1] (numeric) = 1.983977389929711 absolute error = 8.881784197001252e-14 relative error = 4.476756762492904e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.760031999999531 y1[1] (analytic) = 0.8118917322657325 y1[1] (numeric) = 0.8118917322652764 absolute error = 4.560796185160143e-13 relative error = 5.617493076856943e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.982148298176 y2[1] (numeric) = 1.982148298175905 absolute error = 9.459100169806334e-14 relative error = 4.772145544564313e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.770015999999524 y1[1] (analytic) = 0.8020955018251235 y1[1] (numeric) = 0.8020955018246609 absolute error = 4.625189120588402e-13 relative error = 5.766382070544023e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.980221306441637 y2[1] (numeric) = 1.980221306441536 absolute error = 1.008082506359642e-13 relative error = 5.090756791073611e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.780127999999517 y1[1] (analytic) = 0.7921937909276824 y1[1] (numeric) = 0.7921937909272138 absolute error = 4.686251386942786e-13 relative error = 5.915536628297789e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.978170015626625 y2[1] (numeric) = 1.978170015626519 absolute error = 1.068034549689401e-13 relative error = 5.399103925610151e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.790111999999509 y1[1] (analytic) = 0.7824382607399425 y1[1] (numeric) = 0.7824382607394681 absolute error = 4.743982984223294e-13 relative error = 6.06307643971419e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.976046561189649 y2[1] (numeric) = 1.976046561189535 absolute error = 1.13464793116691e-13 relative error = 5.742010099619375e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.800095999999502 y1[1] (analytic) = 0.7727044169819246 y1[1] (numeric) = 0.7727044169814439 absolute error = 4.807265696626928e-13 relative error = 6.2213513873823e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.973825814989762 y2[1] (numeric) = 1.973825814989642 absolute error = 1.199040866595169e-13 relative error = 6.074704553407559e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.810079999999495 y1[1] (analytic) = 0.7629932299176065 y1[1] (numeric) = 0.7629932299171198 absolute error = 4.867217739956686e-13 relative error = 6.379109996142801e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.971507998389674 y2[1] (numeric) = 1.971507998389548 absolute error = 1.265654248072678e-13 relative error = 6.419726671697318e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.820063999999487 y1[1] (analytic) = 0.75330566755256 y1[1] (numeric) = 0.7533056675520675 absolute error = 4.924949337237194e-13 relative error = 6.537783464762753e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.96909334242802 y2[1] (numeric) = 1.969093342427887 absolute error = 1.334488075599438e-13 relative error = 6.777170217608514e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.83004799999948 y1[1] (analytic) = 0.7436426955374601 y1[1] (numeric) = 0.7436426955369619 absolute error = 4.981570711493077e-13 relative error = 6.69887668014099e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.966582087796324 y2[1] (numeric) = 1.966582087796184 absolute error = 1.398881011027697e-13 relative error = 7.113260207689725e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.840031999999473 y1[1] (analytic) = 0.7340052770718301 y1[1] (numeric) = 0.7340052770713263 absolute error = 5.037081862724335e-13 relative error = 6.862460012302343e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.963974484815011 y2[1] (numeric) = 1.963974484814865 absolute error = 1.461053500406706e-13 relative error = 7.439269255803618e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.850015999999465 y1[1] (analytic) = 0.7243943728080298 y1[1] (numeric) = 0.7243943728075207 absolute error = 5.090372567906343e-13 relative error = 7.027073592764272e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.961270793408455 y2[1] (numeric) = 1.9612707934083 absolute error = 1.547650896327468e-13 relative error = 7.891061762245668e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.860127999999458 y1[1] (analytic) = 0.7146882587678687 y1[1] (numeric) = 0.7146882587673535 absolute error = 5.151434834260726e-13 relative error = 7.207946641157731e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.958434771027789 y2[1] (numeric) = 1.958434771027627 absolute error = 1.616484723854228e-13 relative error = 8.253962540738056e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.87011199999945 y1[1] (analytic) = 0.7051336248423311 y1[1] (numeric) = 0.7051336248418103 absolute error = 5.208056208516609e-13 relative error = 7.385913853819038e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.955538497812295 y2[1] (numeric) = 1.955538497812126 absolute error = 1.685318551380988e-13 relative error = 8.618181402546621e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.880095999999443 y1[1] (analytic) = 0.6956083830284028 y1[1] (numeric) = 0.6956083830278766 absolute error = 5.261346913698617e-13 relative error = 7.563662316421204e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.952546977065917 y2[1] (numeric) = 1.95254697706574 absolute error = 1.765254609153999e-13 relative error = 9.04077919706003e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.890079999999436 y1[1] (analytic) = 0.686113482796739 y1[1] (numeric) = 0.686113482796208 absolute error = 5.310196726782124e-13 relative error = 7.739531229056561e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.949460506981732 y2[1] (numeric) = 1.949460506981548 absolute error = 1.836308882730009e-13 relative error = 9.419574677986625e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.900063999999428 y1[1] (analytic) = 0.6766498705935637 y1[1] (numeric) = 0.6766498705930278 absolute error = 5.359046539865631e-13 relative error = 7.919969799395105e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.946279395217312 y2[1] (numeric) = 1.94627939521712 absolute error = 1.91180404840452e-13 relative error = 9.822865376381675e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 1.910047999999421 y1[1] (analytic) = 0.6672184897463282 y1[1] (numeric) = 0.6672184897457877 absolute error = 5.405675906899887e-13 relative error = 8.101807713624793e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.943003958864058 y2[1] (numeric) = 1.943003958863858 absolute error = 1.993960552226781e-13 relative error = 1.026225676551125e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 1.920031999999414 y1[1] (analytic) = 0.6578202803696804 y1[1] (numeric) = 0.6578202803691349 absolute error = 5.455635943008019e-13 relative error = 8.293505241191519e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.939634524415592 y2[1] (numeric) = 1.939634524415384 absolute error = 2.080557948147543e-13 relative error = 1.072654627435244e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 1.930015999999406 y1[1] (analytic) = 0.648456179271755 y1[1] (numeric) = 0.6484561792712046 absolute error = 5.504485756091526e-13 relative error = 8.488600975741039e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.936171427735213 y2[1] (numeric) = 1.936171427734997 absolute error = 2.160494005920555e-13 relative error = 1.115858841305047e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 1.940127999999399 y1[1] (analytic) = 0.639007748095595 y1[1] (numeric) = 0.6390077480950395 absolute error = 5.555556015224283e-13 relative error = 8.694035450714404e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.932568814653904 y2[1] (numeric) = 1.932568814653678 absolute error = 2.251532293939817e-13 relative error = 1.165046376029324e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 1.950111999999392 y1[1] (analytic) = 0.6297151274831894 y1[1] (numeric) = 0.6297151274826291 absolute error = 5.60218538225854e-13 relative error = 8.896380502480614e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.928918248924635 y2[1] (numeric) = 1.928918248924403 absolute error = 2.318145675417327e-13 relative error = 1.201785340933803e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 1.960095999999384 y1[1] (analytic) = 0.6204594166550697 y1[1] (numeric) = 0.6204594166545047 absolute error = 5.649924972317422e-13 relative error = 9.106034690836789e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.925175089155664 y2[1] (numeric) = 1.925175089155423 absolute error = 2.406963517387339e-13 relative error = 1.250256940755958e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 1.970079999999377 y1[1] (analytic) = 0.6112415382151966 y1[1] (numeric) = 0.6112415382146272 absolute error = 5.693223670277803e-13 relative error = 9.314196294482558e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.921339708463015 y2[1] (numeric) = 1.921339708462765 absolute error = 2.498001805406602e-13 relative error = 1.300135418220701e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 1.98006399999937 y1[1] (analytic) = 0.6020624109964203 y1[1] (numeric) = 0.6020624109958468 absolute error = 5.735412145213559e-13 relative error = 9.526275084540463e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.917412489155243 y2[1] (numeric) = 1.917412489154984 absolute error = 2.586819647376615e-13 relative error = 1.349120057372889e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 1.990047999999362 y1[1] (analytic) = 0.5929229499688916 y1[1] (numeric) = 0.592922949968314 absolute error = 5.776490397124689e-13 relative error = 9.742396372796431e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.91339382269532 y2[1] (numeric) = 1.913393822695052 absolute error = 2.680078381445128e-13 relative error = 1.400693547588551e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.000031999999355 y1[1] (analytic) = 0.5838240661488576 y1[1] (numeric) = 0.5838240661482764 absolute error = 5.812017533912694e-13 relative error = 9.955083853002395e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.909284109661622 y2[1] (numeric) = 1.909284109661346 absolute error = 2.76667577736589e-13 relative error = 1.449064475719237e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.010015999999365 y1[1] (analytic) = 0.5747666665078376 y1[1] (numeric) = 0.5747666665072674 absolute error = 5.702105454474804e-13 relative error = 9.920730944819065e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.905083759707986 y2[1] (numeric) = 1.905083759707708 absolute error = 2.777778007612142e-13 relative error = 1.458087075414429e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.020127999999375 y1[1] (analytic) = 0.5656363559114246 y1[1] (numeric) = 0.565636355910866 absolute error = 5.585532036889163e-13 relative error = 9.874775513481713e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.900737600355449 y2[1] (numeric) = 1.90073760035517 absolute error = 2.791100683907644e-13 relative error = 1.468430299577223e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.030111999999385 y1[1] (analytic) = 0.5566651896720091 y1[1] (numeric) = 0.5566651896714617 absolute error = 5.473399511402022e-13 relative error = 9.832480300460293e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.896356093275125 y2[1] (numeric) = 1.896356093274844 absolute error = 2.806643806252396e-13 relative error = 1.480019399418359e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.040095999999395 y1[1] (analytic) = 0.5477382147928951 y1[1] (numeric) = 0.5477382147923591 absolute error = 5.360156762890256e-13 relative error = 9.785982825603982e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.891885237932147 y2[1] (numeric) = 1.891885237931865 absolute error = 2.819966482547898e-13 relative error = 1.490558954638366e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.050079999999405 y1[1] (analytic) = 0.5388563211098325 y1[1] (numeric) = 0.538856321109308 absolute error = 5.244693568329239e-13 relative error = 9.733009269571579e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.887325479978819 y2[1] (numeric) = 1.887325479978538 absolute error = 2.813305144400147e-13 relative error = 1.490630616840779e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.060063999999415 y1[1] (analytic) = 0.5300203939649029 y1[1] (numeric) = 0.5300203939643897 absolute error = 5.131450819817474e-13 relative error = 9.681610138490766e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.882677273929206 y2[1] (numeric) = 1.882677273928925 absolute error = 2.815525590449397e-13 relative error = 1.495490294294204e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.070047999999425 y1[1] (analytic) = 0.5212313141182698 y1[1] (numeric) = 0.5212313141177685 absolute error = 5.013767179207207e-13 relative error = 9.619082820625699e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.877941083113828 y2[1] (numeric) = 1.877941083113546 absolute error = 2.815525590449397e-13 relative error = 1.499261939453901e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.080031999999435 y1[1] (analytic) = 0.5124899576603852 y1[1] (numeric) = 0.512489957659895 absolute error = 4.901634653720066e-13 relative error = 9.564352589652619e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.873117379633476 y2[1] (numeric) = 1.873117379633194 absolute error = 2.815525590449397e-13 relative error = 1.503122880104998e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.090015999999445 y1[1] (analytic) = 0.5037971959246603 y1[1] (numeric) = 0.503797195924182 absolute error = 4.782840790085174e-13 relative error = 9.493583586361243e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.868206644312153 y2[1] (numeric) = 1.868206644311874 absolute error = 2.797762022055394e-13 relative error = 1.497565609550377e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.100127999999455 y1[1] (analytic) = 0.4950434087376826 y1[1] (numeric) = 0.495043408737216 absolute error = 4.66571226098722e-13 relative error = 9.424854828154118e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.863144739276525 y2[1] (numeric) = 1.863144739276245 absolute error = 2.804423360203145e-13 relative error = 1.505209606684732e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.110111999999465 y1[1] (analytic) = 0.4864510817201571 y1[1] (numeric) = 0.4864510817197019 absolute error = 4.551914400963142e-13 relative error = 9.357393933356987e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.858060317538111 y2[1] (numeric) = 1.85806031753783 absolute error = 2.802202914153895e-13 relative error = 1.508133448469936e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.120095999999475 y1[1] (analytic) = 0.4779099449650506 y1[1] (numeric) = 0.4779099449646068 absolute error = 4.438116540939063e-13 relative error = 9.286512213642303e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.852890364838063 y2[1] (numeric) = 1.852890364837783 absolute error = 2.799982468104645e-13 relative error = 1.511143088247078e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.130079999999485 y1[1] (analytic) = 0.4694208498479894 y1[1] (numeric) = 0.4694208498475567 absolute error = 4.326539126964235e-13 relative error = 9.216759605725396e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.847635396514309 y2[1] (numeric) = 1.847635396514032 absolute error = 2.777778007612142e-13 relative error = 1.503423247277363e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.140063999999495 y1[1] (analytic) = 0.4609846425571188 y1[1] (numeric) = 0.4609846425566974 absolute error = 4.213851489964782e-13 relative error = 9.140980199666109e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.842295936379087 y2[1] (numeric) = 1.84229593637881 absolute error = 2.771116669464391e-13 relative error = 1.504164784139317e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.150047999999505 y1[1] (analytic) = 0.4526021640087561 y1[1] (numeric) = 0.4526021640083459 absolute error = 4.102274075989953e-13 relative error = 9.063752677750322e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.836872516666728 y2[1] (numeric) = 1.836872516666453 absolute error = 2.748912208971888e-13 relative error = 1.496517686464267e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.160031999999515 y1[1] (analytic) = 0.444274249763568 y1[1] (numeric) = 0.4442742497631688 absolute error = 3.99180688503975e-13 relative error = 8.985006191927832e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.831365677980607 y2[1] (numeric) = 1.831365677980335 absolute error = 2.724487302430134e-13 relative error = 1.487680661043263e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.170015999999525 y1[1] (analytic) = 0.4360017299432829 y1[1] (numeric) = 0.4360017299428947 absolute error = 3.882449917114172e-13 relative error = 8.90466631318004e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.825775969239255 y2[1] (numeric) = 1.825775969238984 absolute error = 2.711164626134632e-13 relative error = 1.484938279291896e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.180127999999535 y1[1] (analytic) = 0.4276804605305172 y1[1] (numeric) = 0.4276804605301402 absolute error = 3.770317391627032e-13 relative error = 8.815734501758936e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.820030697438479 y2[1] (numeric) = 1.820030697438211 absolute error = 2.688960165642129e-13 relative error = 1.47742572113019e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.190111999999545 y1[1] (analytic) = 0.4195219343055737 y1[1] (numeric) = 0.4195219343052076 absolute error = 3.661515535213766e-13 relative error = 8.727828596792203e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.814275883989976 y2[1] (numeric) = 1.814275883989709 absolute error = 2.671196597248127e-13 relative error = 1.472321062535208e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.200095999999555 y1[1] (analytic) = 0.4114212698021795 y1[1] (numeric) = 0.4114212698018239 absolute error = 3.556599459386689e-13 relative error = 8.64466599185983e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.808439903987131 y2[1] (numeric) = 1.808439903986865 absolute error = 2.653433028854124e-13 relative error = 1.467249767605773e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.210079999999565 y1[1] (analytic) = 0.4033792744899386 y1[1] (numeric) = 0.4033792744895937 absolute error = 3.449462937510361e-13 relative error = 8.55141341079585e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.802523339157091 y2[1] (numeric) = 1.802523339156828 absolute error = 2.631228568361621e-13 relative error = 1.459747294918275e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.220063999999575 y1[1] (analytic) = 0.3953967499903436 y1[1] (numeric) = 0.3953967499900091 absolute error = 3.345101973195597e-13 relative error = 8.460114994059236e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.796526779259656 y2[1] (numeric) = 1.796526779259395 absolute error = 2.609024107869118e-13 relative error = 1.452260070926574e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.230047999999585 y1[1] (analytic) = 0.3874744919968705 y1[1] (numeric) = 0.3874744919965468 absolute error = 3.236855228294644e-13 relative error = 8.353724684206534e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.790450822028485 y2[1] (numeric) = 1.790450822028227 absolute error = 2.577937863179613e-13 relative error = 1.439826121702102e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.240031999999595 y1[1] (analytic) = 0.3796132901956646 y1[1] (numeric) = 0.3796132901953512 absolute error = 3.133604487004504e-13 relative error = 8.254728082331749e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.78429607311152 y2[1] (numeric) = 1.784296073111265 absolute error = 2.55573340268711e-13 relative error = 1.432348275154991e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.250015999999605 y1[1] (analytic) = 0.3718139281868246 y1[1] (numeric) = 0.371813928186522 absolute error = 3.025912853615864e-13 relative error = 8.138245031249716e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.778063146010613 y2[1] (numeric) = 1.778063146010361 absolute error = 2.522426711948356e-13 relative error = 1.418637306334057e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.260127999999615 y1[1] (analytic) = 0.3639784042753051 y1[1] (numeric) = 0.3639784042750131 absolute error = 2.920441666276474e-13 relative error = 8.023667426344112e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.771671257577871 y2[1] (numeric) = 1.771671257577622 absolute error = 2.489120021209601e-13 relative error = 1.40495591976391e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.270111999999625 y1[1] (analytic) = 0.3563058655689542 y1[1] (numeric) = 0.3563058655686722 absolute error = 2.819966482547898e-13 relative error = 7.914454279457162e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.765282863586443 y2[1] (numeric) = 1.765282863586197 absolute error = 2.460254222569347e-13 relative error = 1.393688384631437e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.280095999999635 y1[1] (analytic) = 0.3486974899257238 y1[1] (numeric) = 0.3486974899254521 absolute error = 2.716715741257758e-13 relative error = 7.791038994391519e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.758818186636923 y2[1] (numeric) = 1.758818186636681 absolute error = 2.415845301584341e-13 relative error = 1.373561701794621e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.290079999999645 y1[1] (analytic) = 0.3411540357441463 y1[1] (numeric) = 0.3411540357438845 absolute error = 2.617905892066119e-13 relative error = 7.673677042558741e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.752277871124609 y2[1] (numeric) = 1.752277871124371 absolute error = 2.378097718747085e-13 relative error = 1.357146465144153e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.300063999999655 y1[1] (analytic) = 0.3336762549514194 y1[1] (numeric) = 0.3336762549511675 absolute error = 2.51909604287448e-13 relative error = 7.549521446293026e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.745662568984413 y2[1] (numeric) = 1.745662568984179 absolute error = 2.33812968986058e-13 relative error = 1.33939383899424e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.310047999999665 y1[1] (analytic) = 0.3262648929284553 y1[1] (numeric) = 0.3262648929282133 absolute error = 2.420286193682841e-13 relative error = 7.418163112675355e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.738972939625866 y2[1] (numeric) = 1.738972939625637 absolute error = 2.291500322826323e-13 relative error = 1.317732019061396e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.320031999999675 y1[1] (analytic) = 0.3189206884355809 y1[1] (numeric) = 0.3189206884353484 absolute error = 2.324251902052765e-13 relative error = 7.287868069813989e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.732209649867397 y2[1] (numeric) = 1.732209649867173 absolute error = 2.244870955792067e-13 relative error = 1.295958001367741e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.330015999999685 y1[1] (analytic) = 0.3116443735388991 y1[1] (numeric) = 0.3116443735386761 absolute error = 2.229882944959627e-13 relative error = 7.155216439937735e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.725373373869861 y2[1] (numeric) = 1.725373373869642 absolute error = 2.19602114270856e-13 relative error = 1.272780243376004e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.340127999999695 y1[1] (analytic) = 0.3043447157421098 y1[1] (numeric) = 0.3043447157418963 absolute error = 2.134403764841863e-13 relative error = 7.013112613561777e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.71837575507813 y2[1] (numeric) = 1.718375755077915 absolute error = 2.149391775674303e-13 relative error = 1.250827573260643e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.350111999999705 y1[1] (analytic) = 0.2972072426187262 y1[1] (numeric) = 0.2972072426185219 absolute error = 2.042810365310288e-13 relative error = 6.873353244392222e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.711394644464256 y2[1] (numeric) = 1.711394644464046 absolute error = 2.107203300738547e-13 relative error = 1.231278424035385e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.360095999999715 y1[1] (analytic) = 0.290139823475394 y1[1] (numeric) = 0.2901398234751989 absolute error = 1.951216965778713e-13 relative error = 6.725091862283394e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.704342622439147 y2[1] (numeric) = 1.704342622438941 absolute error = 2.062794379753541e-13 relative error = 1.210316724228489e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.370079999999725 y1[1] (analytic) = 0.2831431627884108 y1[1] (numeric) = 0.283143162788225 absolute error = 1.857403120197887e-13 relative error = 6.559943393674317e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.697220391944324 y2[1] (numeric) = 1.697220391944122 absolute error = 2.020605904817785e-13 relative error = 1.190538314533796e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.380063999999735 y1[1] (analytic) = 0.2762179579809116 y1[1] (numeric) = 0.2762179579807347 absolute error = 1.769140389740187e-13 relative error = 6.404871003580604e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.690028662919649 y2[1] (numeric) = 1.690028662919453 absolute error = 1.965094753586527e-13 relative error = 1.162758239964807e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.390047999999745 y1[1] (analytic) = 0.2693648993533505 y1[1] (numeric) = 0.2693648993531824 absolute error = 1.680877659282487e-13 relative error = 6.240151049070155e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.682768152232557 y2[1] (numeric) = 1.682768152232366 absolute error = 1.91624494050302e-13 relative error = 1.138745666157697e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.400031999999755 y1[1] (analytic) = 0.2625846700146914 y1[1] (numeric) = 0.2625846700145319 absolute error = 1.59539048638635e-13 relative error = 6.075718305631052e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.675439583606601 y2[1] (numeric) = 1.675439583606416 absolute error = 1.854072451124011e-13 relative error = 1.106618507325033e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.410015999999765 y1[1] (analytic) = 0.2558779458143164 y1[1] (numeric) = 0.2558779458141655 absolute error = 1.509903313490213e-13 relative error = 5.900873202202069e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.668043687549309 y2[1] (numeric) = 1.66804368754913 absolute error = 1.794120407794253e-13 relative error = 1.075583584042799e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.420127999999775 y1[1] (analytic) = 0.2491608470313063 y1[1] (numeric) = 0.2491608470311639 absolute error = 1.423861029081763e-13 relative error = 5.714625897474412e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.660485099278746 y2[1] (numeric) = 1.660485099278573 absolute error = 1.729727472365994e-13 relative error = 1.041700086991039e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.430111999999785 y1[1] (analytic) = 0.2426040949615017 y1[1] (numeric) = 0.2426040949613675 absolute error = 1.341982081015658e-13 relative error = 5.53157225655492e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.65295592732658 y2[1] (numeric) = 1.652955927326413 absolute error = 1.669775429036235e-13 relative error = 1.010175408449552e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.440095999999795 y1[1] (analytic) = 0.2361228396822735 y1[1] (numeric) = 0.2361228396821475 absolute error = 1.260658244461865e-13 relative error = 5.338993238257699e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.645361669101076 y2[1] (numeric) = 1.645361669100915 absolute error = 1.609823385706477e-13 relative error = 9.784009290711053e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 2.450079999999805 y1[1] (analytic) = 0.2297177272414405 y1[1] (numeric) = 0.2297177272413225 absolute error = 1.179611963664229e-13 relative error = 5.135049775346332e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.637703081593548 y2[1] (numeric) = 1.637703081593395 absolute error = 1.534328220031966e-13 relative error = 9.368781418784445e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 2.460063999999815 y1[1] (analytic) = 0.223389396096947 y1[1] (numeric) = 0.2233893960968368 absolute error = 1.101618796184312e-13 relative error = 4.931383563552089e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.629980928207621 y2[1] (numeric) = 1.629980928207474 absolute error = 1.467714838554457e-13 relative error = 9.004490869524487e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 2.470047999999825 y1[1] (analytic) = 0.2171384770532216 y1[1] (numeric) = 0.2171384770531192 absolute error = 1.024180740216707e-13 relative error = 4.71671697303871e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.622195978683124 y2[1] (numeric) = 1.622195978682984 absolute error = 1.405542349175448e-13 relative error = 8.664442321675876e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 2.480031999999835 y1[1] (analytic) = 0.2109655931982992 y1[1] (numeric) = 0.2109655931982044 absolute error = 9.4840801878604e-14 relative error = 4.49555780356361e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.614349009019375 y2[1] (numeric) = 1.614349009019241 absolute error = 1.338928967697939e-13 relative error = 8.293925044815816e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 2.490015999999845 y1[1] (analytic) = 0.2048713598417112 y1[1] (numeric) = 0.2048713598416239 absolute error = 8.734679646238419e-14 relative error = 4.26349473786236e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.60644080139782 y2[1] (numeric) = 1.606440801397693 absolute error = 1.270095140171179e-13 relative error = 7.906267937579928e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 2.500127999999855 y1[1] (analytic) = 0.1987797865818852 y1[1] (numeric) = 0.1987797865818052 absolute error = 7.999156892424253e-14 relative error = 4.024129932914021e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.598369592818879 y2[1] (numeric) = 1.598369592818759 absolute error = 1.199040866595169e-13 relative error = 7.501649630862566e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 2.510111999999865 y1[1] (analytic) = 0.1928456964033001 y1[1] (numeric) = 0.1928456964032271 absolute error = 7.294165271787278e-14 relative error = 3.782384262562396e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.590340520534824 y2[1] (numeric) = 1.590340520534711 absolute error = 1.127986593019159e-13 relative error = 7.092736294236047e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 2.520095999999875 y1[1] (analytic) = 0.1869920629039972 y1[1] (numeric) = 0.1869920629039312 absolute error = 6.597500323834993e-14 relative error = 3.528224792740101e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.582252603445362 y2[1] (numeric) = 1.582252603445257 absolute error = 1.050270981295398e-13 relative error = 6.637821160846432e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 2.530079999999885 y1[1] (analytic) = 0.1812194695708155 y1[1] (numeric) = 0.1812194695707563 absolute error = 5.914713163690521e-14 relative error = 3.263839794751864e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.574106647749443 y2[1] (numeric) = 1.574106647749345 absolute error = 9.836575998178887e-14 relative error = 6.248989553689131e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 2.540063999999895 y1[1] (analytic) = 0.1755284918125565 y1[1] (numeric) = 0.175528491812504 absolute error = 5.248579348915428e-14 relative error = 2.990158061928934e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.565903465431271 y2[1] (numeric) = 1.565903465431181 absolute error = 9.081624341433781e-14 relative error = 5.799606771374362e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 2.550047999999905 y1[1] (analytic) = 0.1699196969026278 y1[1] (numeric) = 0.1699196969025818 absolute error = 4.596323321948148e-14 relative error = 2.704997363891288e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.557643874179368 y2[1] (numeric) = 1.557643874179285 absolute error = 8.326672684688674e-14 relative error = 5.345684480719647e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 2.560031999999915 y1[1] (analytic) = 0.1643936439224978 y1[1] (numeric) = 0.1643936439224581 absolute error = 3.969047313034935e-14 relative error = 2.414355700337243e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.549328697305064 y2[1] (numeric) = 1.549328697304988 absolute error = 7.638334409421077e-14 relative error = 4.930092899400471e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 2.570015999999925 y1[1] (analytic) = 0.1589508837059664 y1[1] (numeric) = 0.158950883705933 absolute error = 3.341771304121721e-14 relative error = 2.102392403368741e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.540958763660434 y2[1] (numeric) = 1.540958763660365 absolute error = 6.838973831690964e-14 relative error = 4.438129035617726e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 2.580127999999935 y1[1] (analytic) = 0.1535238012500526 y1[1] (numeric) = 0.1535238012500252 absolute error = 2.7450264283857e-14 relative error = 1.788013588795085e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.53242656296417 y2[1] (numeric) = 1.532426562964109 absolute error = 6.084022174945858e-14 relative error = 3.970188407056547e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 2.590111999999945 y1[1] (analytic) = 0.1482503308891225 y1[1] (numeric) = 0.148250330889101 absolute error = 2.151057110211241e-14 relative error = 1.450962771759364e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.523948949010789 y2[1] (numeric) = 1.523948949010738 absolute error = 5.173639294753229e-14 relative error = 3.394890162240337e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 2.600095999999955 y1[1] (analytic) = 0.1430617624480003 y1[1] (numeric) = 0.1430617624479844 absolute error = 1.584843367652411e-14 relative error = 1.107803609107965e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.515419108125875 y2[1] (numeric) = 1.515419108125831 absolute error = 4.352074256530614e-14 relative error = 2.871861805882098e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 2.610079999999965 y1[1] (analytic) = 0.1379586131202202 y1[1] (numeric) = 0.1379586131202099 absolute error = 1.029731855339833e-14 relative error = 7.464063548120055e-12 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.506837890559088 y2[1] (numeric) = 1.506837890559053 absolute error = 3.463895836830488e-14 relative error = 2.298784665910721e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 2.620063999999975 y1[1] (analytic) = 0.132941391584788 y1[1] (numeric) = 0.132941391584783 absolute error = 4.968248035197576e-15 relative error = 3.737171678415072e-12 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.498206151681285 y2[1] (numeric) = 1.498206151681259 absolute error = 2.597921877622866e-14 relative error = 1.73402163294249e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 2.630047999999985 y1[1] (analytic) = 0.1280105979554766 y1[1] (numeric) = 0.1280105979554768 absolute error = 1.665334536937735e-16 relative error = 1.300934894091312e-13 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 15 h = 0.000128 y2[1] (analytic) = 1.489524751899263 y2[1] (numeric) = 1.489524751899245 absolute error = 1.731947918415244e-14 relative error = 1.162752022889766e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 2.640031999999995 y1[1] (analytic) = 0.1231667237309746 y1[1] (numeric) = 0.1231667237309797 absolute error = 5.120903701083535e-15 relative error = 4.157700672682344e-12 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.480794556569983 y2[1] (numeric) = 1.480794556569975 absolute error = 8.215650382226158e-15 relative error = 5.548136536412154e-13 % Desired digits = 10 Estimated correct digits = 10 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] = 2.650016000000005 y1[1] (analytic) = 0.1184102517458938 y1[1] (numeric) = 0.1184102517459037 absolute error = 9.894862706971708e-15 relative error = 8.35642400981116e-12 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.472016435914325 y2[1] (numeric) = 1.472016435914326 absolute error = 8.881784197001252e-16 relative error = 6.033753414909693e-14 % Desired digits = 10 Estimated correct digits = 10 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] = 2.660000000000015 y1[1] (analytic) = 0.113741656122641 y1[1] (numeric) = 0.1137416561226554 absolute error = 1.440514374451141e-14 relative error = 1.26647916300596e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.463191264930332 y2[1] (numeric) = 1.463191264930341 absolute error = 9.547918011776346e-15 relative error = 6.525406650941809e-13 % Desired digits = 10 Estimated correct digits = 10 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] = 2.670112000000025 y1[1] (analytic) = 0.1091032565718827 y1[1] (numeric) = 0.1091032565719016 absolute error = 1.89154247820511e-14 relative error = 1.733717707096e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.454205892244008 y2[1] (numeric) = 1.454205892244027 absolute error = 1.887379141862766e-14 relative error = 1.297876148026276e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 2.680096000000035 y1[1] (analytic) = 0.1046129423204285 y1[1] (numeric) = 0.1046129423204517 absolute error = 2.321753900247359e-14 relative error = 2.219375393472681e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.445288689436325 y2[1] (numeric) = 1.445288689436352 absolute error = 2.731148640577885e-14 relative error = 1.889690731367349e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 2.690080000000045 y1[1] (analytic) = 0.1002118797387136 y1[1] (numeric) = 0.100211879738741 absolute error = 2.738087534481792e-14 relative error = 2.732298347881425e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.436327100506788 y2[1] (numeric) = 1.436327100506824 absolute error = 3.61932706027801e-14 relative error = 2.519848757989027e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 2.700064000000055 y1[1] (analytic) = 0.09590050752213863 y1[1] (numeric) = 0.09590050752216998 absolute error = 3.134992265785286e-14 relative error = 3.269004874725582e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.427322018741456 y2[1] (numeric) = 1.427322018741502 absolute error = 4.596323321948148e-14 relative error = 3.22024270738916e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 2.710048000000065 y1[1] (analytic) = 0.09167925542582012 y1[1] (numeric) = 0.09167925542585523 absolute error = 3.511080315377058e-14 relative error = 3.829743488937862e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.418274341761729 y2[1] (numeric) = 1.418274341761783 absolute error = 5.395683899678261e-14 relative error = 3.804400700767059e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 2.720032000000075 y1[1] (analytic) = 0.0875485442217524 y1[1] (numeric) = 0.08754854422179095 absolute error = 3.855249453010856e-14 relative error = 4.403556320989032e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.409184971434872 y2[1] (numeric) = 1.409184971434935 absolute error = 6.328271240363392e-14 relative error = 4.490731428905155e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 2.730016000000085 y1[1] (analytic) = 0.08350878565686537 y1[1] (numeric) = 0.08350878565690723 absolute error = 4.18554080283684e-14 relative error = 5.012096355987115e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.40005481378412 y2[1] (numeric) = 1.400054813784193 absolute error = 7.349676423018536e-14 relative error = 5.249563338990679e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 2.740000000000095 y1[1] (analytic) = 0.07956038241198216 y1[1] (numeric) = 0.07956038241202718 absolute error = 4.50195436485501e-14 relative error = 5.658537865671439e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.390884778898365 y2[1] (numeric) = 1.390884778898448 absolute error = 8.282263763703668e-14 relative error = 5.954672802058805e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 2.750112000000105 y1[1] (analytic) = 0.07565488113370022 y1[1] (numeric) = 0.07565488113374826 absolute error = 4.803102360284583e-14 relative error = 6.348701218360724e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.381557467792266 y2[1] (numeric) = 1.381557467792359 absolute error = 9.259260025373806e-14 relative error = 6.702044787300912e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 2.760096000000115 y1[1] (analytic) = 0.0718915437594535 y1[1] (numeric) = 0.07189154375950435 absolute error = 5.084821452783217e-14 relative error = 7.072906195750706e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.372309942728891 y2[1] (numeric) = 1.372309942728993 absolute error = 1.028066520802895e-13 relative error = 7.491503841752729e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 2.770080000000125 y1[1] (analytic) = 0.06822071970523769 y1[1] (numeric) = 0.06822071970529113 absolute error = 5.344336084789347e-14 relative error = 7.833889920658566e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.363025306023388 y2[1] (numeric) = 1.363025306023501 absolute error = 1.123545700920658e-13 relative error = 8.243028914837912e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 2.780064000000135 y1[1] (analytic) = 0.06464277487669479 y1[1] (numeric) = 0.06464277487675063 absolute error = 5.584421813864537e-14 relative error = 8.638895568014748e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.353704483163036 y2[1] (numeric) = 1.353704483163158 absolute error = 1.223465773136923e-13 relative error = 9.037908851998476e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 2.790048000000145 y1[1] (analytic) = 0.06115806592131856 y1[1] (numeric) = 0.06115806592137672 absolute error = 5.815486980864648e-14 relative error = 9.508945211489231e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.344348403242124 y2[1] (numeric) = 1.344348403242257 absolute error = 1.327826737451687e-13 relative error = 9.877102797529328e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 2.800032000000155 y1[1] (analytic) = 0.05776694019290451 y1[1] (numeric) = 0.05776694019296466 absolute error = 6.014633235906786e-14 relative error = 1.041189513555984e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.334957998869348 y2[1] (numeric) = 1.334957998869492 absolute error = 1.432187701766452e-13 relative error = 1.072833529578798e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.810016000000165 y1[1] (analytic) = 0.05446973571692548 y1[1] (numeric) = 0.05446973571698747 absolute error = 6.198513924360327e-14 relative error = 1.137973930436063e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.325534206074844 y2[1] (numeric) = 1.325534206074998 absolute error = 1.534328220031966e-13 relative error = 1.157516881118746e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.820000000000175 y1[1] (analytic) = 0.05126678115683747 y1[1] (numeric) = 0.05126678115690116 absolute error = 6.369210714396445e-14 relative error = 1.242366025460325e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.316077964216887 y2[1] (numeric) = 1.316077964217051 absolute error = 1.63424829224823e-13 relative error = 1.241756443525491e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.830112000000185 y1[1] (analytic) = 0.04811916003127892 y1[1] (numeric) = 0.04811916003134408 absolute error = 6.516315265159278e-14 relative error = 1.354203868256112e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.306468377651663 y2[1] (numeric) = 1.306468377651836 absolute error = 1.731947918415244e-13 relative error = 1.325671518761417e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.840096000000195 y1[1] (analytic) = 0.04510687205065012 y1[1] (numeric) = 0.04510687205071646 absolute error = 6.634970350916092e-14 relative error = 1.470944459076156e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.296949682934847 y2[1] (numeric) = 1.29694968293503 absolute error = 1.827427098533008e-13 relative error = 1.409019272357391e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.850080000000205 y1[1] (analytic) = 0.04218976727080692 y1[1] (numeric) = 0.04218976727087438 absolute error = 6.745992653378607e-14 relative error = 1.598964177753708e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.287401388443496 y2[1] (numeric) = 1.287401388443688 absolute error = 1.920685832601521e-13 relative error = 1.491909088993359e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.860064000000215 y1[1] (analytic) = 0.03936813646708537 y1[1] (numeric) = 0.03936813646715368 absolute error = 6.831341048396666e-14 relative error = 1.735246232472336e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.27782444594614 y2[1] (numeric) = 1.277824445946342 absolute error = 2.022826350867035e-13 relative error = 1.583023675344756e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.870048000000225 y1[1] (analytic) = 0.03664226089802991 y1[1] (numeric) = 0.03664226089809888 absolute error = 6.896566651093394e-14 relative error = 1.882134585058913e-10 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.268219810066931 y2[1] (numeric) = 1.268219810067142 absolute error = 2.107203300738547e-13 relative error = 1.661544224441139e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.880032000000235 y1[1] (analytic) = 0.03401241227735807 y1[1] (numeric) = 0.03401241227742748 absolute error = 6.940975572078401e-14 relative error = 2.040718404645171e-10 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.258588438190479 y2[1] (numeric) = 1.2585884381907 absolute error = 2.211564265053312e-13 relative error = 1.75717827841559e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.890016000000245 y1[1] (analytic) = 0.0314788527468759 y1[1] (numeric) = 0.03147885274694564 absolute error = 6.974282262817155e-14 relative error = 2.215545248391975e-10 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.248931290366423 y2[1] (numeric) = 1.248931290366655 absolute error = 2.324807013565078e-13 relative error = 1.861437079443341e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.900000000000255 y1[1] (analytic) = 0.02904183485034839 y1[1] (numeric) = 0.02904183485041817 absolute error = 6.978098654464304e-14 relative error = 2.402774718065238e-10 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.239249329213735 y2[1] (numeric) = 1.239249329213977 absolute error = 2.420286193682841e-13 relative error = 1.953026026827417e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.910112000000265 y1[1] (analytic) = 0.02667222791112844 y1[1] (numeric) = 0.02667222791119811 absolute error = 6.966996424218053e-14 relative error = 2.612078918728501e-10 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.229418935749676 y2[1] (numeric) = 1.229418935749928 absolute error = 2.524647157997606e-13 relative error = 2.053528772483178e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.920096000000275 y1[1] (analytic) = 0.02443025768744378 y1[1] (numeric) = 0.02443025768751311 absolute error = 6.932648899393712e-14 relative error = 2.837730566778601e-10 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.219689958542062 y2[1] (numeric) = 1.219689958542323 absolute error = 2.617905892066119e-13 relative error = 2.146369963720448e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.930080000000285 y1[1] (analytic) = 0.02228553169763736 y1[1] (numeric) = 0.02228553169770613 absolute error = 6.876443858772063e-14 relative error = 3.085609063346279e-10 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.209939082765045 y2[1] (numeric) = 1.209939082765318 absolute error = 2.733369086627135e-13 relative error = 2.259096450030057e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.940064000000295 y1[1] (analytic) = 0.02023826372676896 y1[1] (numeric) = 0.02023826372683702 absolute error = 6.806707975037796e-14 relative error = 3.363286528396519e-10 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.200167280380345 y2[1] (numeric) = 1.200167280380629 absolute error = 2.83995049699115e-13 relative error = 2.366295551809362e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.950048000000305 y1[1] (analytic) = 0.01828865784533895 y1[1] (numeric) = 0.01828865784540609 absolute error = 6.713379852030243e-14 relative error = 3.670788698002361e-10 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.190375525435635 y2[1] (numeric) = 1.19037552543593 absolute error = 2.950972799453666e-13 relative error = 2.47902677465896e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.960032000000315 y1[1] (analytic) = 0.0164369083889464 y1[1] (numeric) = 0.01643690838901235 absolute error = 6.59472476627343e-14 relative error = 4.012144261087622e-10 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.180564793967446 y2[1] (numeric) = 1.180564793967751 absolute error = 3.05311331771918e-13 relative error = 2.586146337177128e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.970016000000325 y1[1] (analytic) = 0.01468319993891787 y1[1] (numeric) = 0.01468319993898245 absolute error = 6.458202028714055e-14 relative error = 4.398361430464875e-10 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.170736063903879 y2[1] (numeric) = 1.170736063904195 absolute error = 3.157474282033945e-13 relative error = 2.696999246358899e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.980000000000335 y1[1] (analytic) = 0.01302770730390845 y1[1] (numeric) = 0.01302770730397153 absolute error = 6.307801503346866e-14 relative error = 4.841835448248409e-10 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.160890314967125 y2[1] (numeric) = 1.160890314967453 absolute error = 3.281819260791963e-13 relative error = 2.82698478786508e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 2.990112000000345 y1[1] (analytic) = 0.01145127194890516 y1[1] (numeric) = 0.01145127194896641 absolute error = 6.124441231936117e-14 relative error = 5.348262847361393e-10 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.15090199557515 y2[1] (numeric) = 1.150901995575488 absolute error = 3.388400671155978e-13 relative error = 2.944126158598469e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 3.000096000000355 y1[1] (analytic) = 0.00999396044063694 y1[1] (numeric) = 0.009993960440696193 absolute error = 5.92529497689398e-14 relative error = 5.928875756602801e-10 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.141024968129707 y2[1] (numeric) = 1.141024968130056 absolute error = 3.497202527569243e-13 relative error = 3.064965820425146e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 3.010080000000365 y1[1] (analytic) = 0.008635332168098753 y1[1] (numeric) = 0.008635332168155867 absolute error = 5.71140357230604e-14 relative error = 6.613994066615649e-10 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.131133883396108 y2[1] (numeric) = 1.131133883396468 absolute error = 3.599343045834758e-13 relative error = 3.182066330669996e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 3.020064000000375 y1[1] (analytic) = 0.007375522558579761 y1[1] (numeric) = 0.00737552255863448 absolute error = 5.471838260273643e-14 relative error = 7.418916038577347e-10 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.121229727312023 y2[1] (numeric) = 1.121229727312393 absolute error = 3.701483564100272e-13 relative error = 3.301271339794044e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 3.030048000000385 y1[1] (analytic) = 0.006214657189181128 y1[1] (numeric) = 0.006214657189233291 absolute error = 5.216313492262259e-14 relative error = 8.393565941727487e-10 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.111313487118063 y2[1] (numeric) = 1.111313487118444 absolute error = 3.801403636316536e-13 relative error = 3.420640242722694e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 3.040032000000395 y1[1] (analytic) = 0.005152851774298917 y1[1] (numeric) = 0.005152851774348286 absolute error = 4.936936276456194e-14 relative error = 9.580978636102726e-10 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.101386151259381 y2[1] (numeric) = 1.101386151259772 absolute error = 3.912425938779052e-13 relative error = 3.5522744990986e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 3.050016000000405 y1[1] (analytic) = 0.004190212154089545 y1[1] (numeric) = 0.004190212154135849 absolute error = 4.630410638251092e-14 relative error = 1.105053984851799e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.091448709287134 y2[1] (numeric) = 1.091448709287536 absolute error = 4.023448241241567e-13 relative error = 3.68633744032684e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 3.060000000000415 y1[1] (analytic) = 0.003326834283919555 y1[1] (numeric) = 0.003326834283962702 absolute error = 4.314690965623313e-14 relative error = 1.296935944924765e-09 % Desired digits = 10 Estimated correct digits = 7 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.081502151759855 y2[1] (numeric) = 1.081502151760268 absolute error = 4.125588759507082e-13 relative error = 3.814683819901597e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 3.070112000000425 y1[1] (analytic) = 0.002553654319653376 y1[1] (numeric) = 0.002553654319693006 absolute error = 3.963062517042815e-14 relative error = 1.551918161570415e-09 % Desired digits = 10 Estimated correct digits = 7 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.071419797597882 y2[1] (numeric) = 1.071419797598304 absolute error = 4.227729277772596e-13 relative error = 3.945912971975267e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 3.080096000000435 y1[1] (analytic) = 0.001890323347225609 y1[1] (numeric) = 0.001890323347261671 absolute error = 3.606186529947486e-14 relative error = 1.907708824122718e-09 % Desired digits = 10 Estimated correct digits = 7 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.061457899183865 y2[1] (numeric) = 1.061457899184298 absolute error = 4.329869796038111e-13 relative error = 4.079172428192645e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 3.090080000000445 y1[1] (analytic) = 0.001326483376438037 y1[1] (numeric) = 0.001326483376470333 absolute error = 3.229578063312921e-14 relative error = 2.434691697369931e-09 % Desired digits = 10 Estimated correct digits = 7 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.051489874681613 y2[1] (numeric) = 1.051489874682056 absolute error = 4.434230760352875e-13 relative error = 4.217093161924687e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 3.100064000000455 y1[1] (analytic) = 0.0008621906105364952 y1[1] (numeric) = 0.0008621906105647492 absolute error = 2.825409177453775e-14 relative error = 3.277012232475686e-09 % Desired digits = 10 Estimated correct digits = 7 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.041516717698105 y2[1] (numeric) = 1.041516717698559 absolute error = 4.54081217071689e-13 relative error = 4.359807282549156e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 3.110048000000465 y1[1] (analytic) = 0.000497491329958244 y1[1] (numeric) = 0.0004974913299822474 absolute error = 2.400347715730833e-14 relative error = 4.824903613762076e-09 % Desired digits = 10 Estimated correct digits = 7 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.031539422351924 y2[1] (numeric) = 1.031539422352389 absolute error = 4.649614027130156e-13 relative error = 4.507451607161044e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 3.120032000000475 y1[1] (analytic) = 0.0002324218877188811 y1[1] (numeric) = 0.0002324218877385058 absolute error = 1.962476405339975e-14 relative error = 8.443595500410139e-09 % Desired digits = 10 Estimated correct digits = 6 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.021558983174165 y2[1] (numeric) = 1.02155898317464 absolute error = 4.74953409934642e-13 relative error = 4.649299920586842e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 3.130016000000485 y1[1] (analytic) = 6.700870578890683e-05 y1[1] (numeric) = 6.700870580390347e-05 absolute error = 1.499664379223803e-14 relative error = 2.238014242430078e-08 % Desired digits = 10 Estimated correct digits = 6 Correct digits = 10 h = 0.000128 y2[1] (analytic) = 1.011576395009295 y2[1] (numeric) = 1.01157639500978 absolute error = 4.856115509710435e-13 relative error = 4.800542533088483e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 3.140000000000495 y1[1] (analytic) = 1.268272459720166e-06 y1[1] (numeric) = 1.268272469796404e-06 absolute error = 1.007623808372551e-14 relative error = 7.944852863830814e-07 % Desired digits = 10 Estimated correct digits = 4 Correct digits = 9 h = 0.000128 y2[1] (analytic) = 1.001592652915992 y2[1] (numeric) = 1.001592652916488 absolute error = 4.96269692007445e-13 relative error = 4.954805634432598e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 3.150112000000505 y1[1] (analytic) = 3.628941214384174e-05 y1[1] (numeric) = 3.628941214885299e-05 absolute error = 5.01125698012736e-15 relative error = 1.380914345006209e-08 % Desired digits = 10 Estimated correct digits = 5 Correct digits = 10 h = 0.000128 y2[1] (analytic) = 0.9914807566435615 y2[1] (numeric) = 0.9914807566440681 absolute error = 5.065947661364589e-13 relative error = 5.10947653539362e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 3.160096000000515 y1[1] (analytic) = 0.0001711820300933642 y1[1] (numeric) = 0.0001711820300931848 absolute error = 1.794083544920388e-16 relative error = 1.048056004442686e-10 % Desired digits = 10 Estimated correct digits = 6 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.9814977094147948 y2[1] (numeric) = 0.981497709415311 absolute error = 5.162537064506978e-13 relative error = 5.25985645711295e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 3.170080000000525 y1[1] (analytic) = 0.0004057370127062976 y1[1] (numeric) = 0.0004057370127006388 absolute error = 5.658776398853593e-15 relative error = 1.394690703988062e-09 % Desired digits = 10 Estimated correct digits = 7 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.9715165064837701 y2[1] (numeric) = 0.9715165064842968 absolute error = 5.266898028821743e-13 relative error = 5.421316049363213e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 3.180064000000535 y1[1] (analytic) = 0.0007399309796760623 y1[1] (numeric) = 0.0007399309796647123 absolute error = 1.13499704426645e-14 relative error = 1.533922859620428e-09 % Desired digits = 10 Estimated correct digits = 7 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.9615381427710863 y2[1] (numeric) = 0.9615381427716232 absolute error = 5.369038547087257e-13 relative error = 5.583801940101991e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 3.190048000000545 y1[1] (analytic) = 0.001173730618739044 y1[1] (numeric) = 0.001173730618721946 absolute error = 1.70983019409654e-14 relative error = 1.456748394221355e-09 % Desired digits = 10 Estimated correct digits = 7 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.9515636129143304 y2[1] (numeric) = 0.9515636129148771 absolute error = 5.466738173254271e-13 relative error = 5.745005482619734e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 3.200032000000555 y1[1] (analytic) = 0.001707092688995604 y1[1] (numeric) = 0.001707092688972456 absolute error = 2.314815006343451e-14 relative error = 1.355998430117705e-09 % Desired digits = 10 Estimated correct digits = 7 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.9415939111689333 y2[1] (numeric) = 0.9415939111694895 absolute error = 5.562217353372034e-13 relative error = 5.907235897975242e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 3.210016000000565 y1[1] (analytic) = 0.002339964025219632 y1[1] (numeric) = 0.002339964025190166 absolute error = 2.946557928207305e-14 relative error = 1.259232149062949e-09 % Desired digits = 10 Estimated correct digits = 7 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.931630031309062 y2[1] (numeric) = 0.9316300313096284 absolute error = 5.664357871637549e-13 relative error = 6.080050751131741e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 3.220000000000575 y1[1] (analytic) = 0.003072281543158195 y1[1] (numeric) = 0.003072281543122291 absolute error = 3.590443914402996e-14 relative error = 1.168657189767885e-09 % Desired digits = 10 Estimated correct digits = 7 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.9216729665285613 y2[1] (numeric) = 0.9216729665291378 absolute error = 5.764277943853813e-13 relative error = 6.254146701909571e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 3.230112000000585 y1[1] (analytic) = 0.003915279771012026 y1[1] (numeric) = 0.003915279770969484 absolute error = 4.254149116311723e-14 relative error = 1.086550480455731e-09 % Desired digits = 10 Estimated correct digits = 7 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.9115962097739083 y2[1] (numeric) = 0.9115962097744945 absolute error = 5.861977570020827e-13 relative error = 6.430454083913643e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 3.240096000000595 y1[1] (analytic) = 0.004847533126919323 y1[1] (numeric) = 0.004847533126869895 absolute error = 4.942834336274515e-14 relative error = 1.019659733489177e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.9016558711644562 y2[1] (numeric) = 0.901655871165052 absolute error = 5.95745675013859e-13 relative error = 6.6072400132489e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 3.250080000000605 y1[1] (analytic) = 0.005878982711487457 y1[1] (numeric) = 0.005878982711431024 absolute error = 5.64331567587395e-14 relative error = 9.599136369030281e-10 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.8917253354415127 y2[1] (numeric) = 0.8917253354421179 absolute error = 6.051825707231728e-13 relative error = 6.786647711691781e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 3.260064000000615 y1[1] (analytic) = 0.007009525710411912 y1[1] (numeric) = 0.007009525710348283 absolute error = 6.362965709882928e-14 relative error = 9.077598075475225e-10 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.8818055924751981 y2[1] (numeric) = 0.8818055924758121 absolute error = 6.140643549201741e-13 relative error = 6.963715814009713e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 3.270048000000625 y1[1] (analytic) = 0.008239049431813306 y1[1] (numeric) = 0.008239049431742218 absolute error = 7.108723332205358e-14 relative error = 8.628086760538857e-10 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.8718976310598172 y2[1] (numeric) = 0.8718976310604406 absolute error = 6.233902283270254e-13 relative error = 7.149809864367634e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 3.280032000000635 y1[1] (analytic) = 0.009567431317470287 y1[1] (numeric) = 0.009567431317391583 absolute error = 7.870440410506774e-14 relative error = 8.226283679857957e-10 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.8620024388152965 y2[1] (numeric) = 0.8620024388159291 absolute error = 6.326050794314142e-13 relative error = 7.338785262612977e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 3.290016000000645 y1[1] (analytic) = 0.01099453895503633 y1[1] (numeric) = 0.01099453895494987 absolute error = 8.646035276616004e-14 relative error = 7.863936188661617e-10 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.8521210020887388 y2[1] (numeric) = 0.8521210020893806 absolute error = 6.41819930535803e-13 relative error = 7.532028068344274e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 3.300000000000655 y1[1] (analytic) = 0.01252023009123848 y1[1] (numeric) = 0.01252023009114406 absolute error = 9.442099879741761e-14 relative error = 7.541474726050951e-10 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.8422543058561045 y2[1] (numeric) = 0.8422543058567552 absolute error = 6.507017147328042e-13 relative error = 7.725715501939788e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 3.310112000000665 y1[1] (analytic) = 0.01416581309542408 y1[1] (numeric) = 0.01416581309532135 absolute error = 1.027303242473465e-13 relative error = 7.251989247304908e-10 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.8322771454744655 y2[1] (numeric) = 0.8322771454751255 absolute error = 6.600275881396556e-13 relative error = 7.930382225783531e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 3.320096000000675 y1[1] (analytic) = 0.01588946394922386 y1[1] (numeric) = 0.01588946394911279 absolute error = 1.11070874719843e-13 relative error = 6.990221638362344e-10 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.8224430997289771 y2[1] (numeric) = 0.8224430997296458 absolute error = 6.686873277317318e-13 relative error = 8.130499580482673e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 3.330080000000685 y1[1] (analytic) = 0.01771121037833623 y1[1] (numeric) = 0.01771121037821667 absolute error = 1.195606114112735e-13 relative error = 6.750561303112074e-10 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.8126267527537433 y2[1] (numeric) = 0.812626752754421 absolute error = 6.776801342311956e-13 relative error = 8.339377603982949e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 3.340064000000695 y1[1] (analytic) = 0.01963087079211934 y1[1] (numeric) = 0.01963087079199101 absolute error = 1.283279038588603e-13 relative error = 6.537045922098195e-10 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.8028290830366158 y2[1] (numeric) = 0.8028290830373016 absolute error = 6.857847623109592e-13 relative error = 8.542101635344986e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 3.350048000000705 y1[1] (analytic) = 0.02164825383992108 y1[1] (numeric) = 0.0216482538397838 absolute error = 1.372790769949006e-13 relative error = 6.341346420363346e-10 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.7930510672037074 y2[1] (numeric) = 0.7930510672044013 absolute error = 6.938893903907228e-13 relative error = 8.749618014352746e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 3.360032000000715 y1[1] (analytic) = 0.0237631584301532 y1[1] (numeric) = 0.02376315843000685 absolute error = 1.463482113273074e-13 relative error = 6.158617835144563e-10 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.7832936799220434 y2[1] (numeric) = 0.7832936799227465 absolute error = 7.031042414951116e-13 relative error = 8.976253217887415e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 3.370016000000725 y1[1] (analytic) = 0.02597537375033587 y1[1] (numeric) = 0.02597537375018032 absolute error = 1.555561235377922e-13 relative error = 5.988600011415845e-10 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.7735578938024066 y2[1] (numeric) = 0.773557893803118 absolute error = 7.114309141798003e-13 relative error = 9.196867097855825e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 3.380000000000735 y1[1] (analytic) = 0.02828467928811151 y1[1] (numeric) = 0.02828467928794649 absolute error = 1.650207748227217e-13 relative error = 5.834281277924282e-10 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.7638446793023884 y2[1] (numeric) = 0.7638446793031078 absolute error = 7.194245199571014e-13 relative error = 9.418466076298974e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 3.390112000000745 y1[1] (analytic) = 0.0307223209531271 y1[1] (numeric) = 0.03072232095295231 absolute error = 1.747907374394231e-13 relative error = 5.689372808327225e-10 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.7540309350720963 y2[1] (numeric) = 0.754030935072824 absolute error = 7.277511926417901e-13 relative error = 9.651476601184891e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 3.400096000000755 y1[1] (analytic) = 0.03322634382149503 y1[1] (numeric) = 0.03322634382131044 absolute error = 1.845884556317401e-13 relative error = 5.555485027886962e-10 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.7443660865236267 y2[1] (numeric) = 0.7443660865243622 absolute error = 7.355227538141662e-13 relative error = 9.88119645871078e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 3.410080000000765 y1[1] (analytic) = 0.03582673413490678 y1[1] (numeric) = 0.03582673413471223 absolute error = 1.945527072777509e-13 relative error = 5.430377955890594e-10 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.7347267194174274 y2[1] (numeric) = 0.7347267194181707 absolute error = 7.432943149865423e-13 relative error = 1.011660928264469e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 3.420064000000775 y1[1] (analytic) = 0.03852323268794344 y1[1] (numeric) = 0.03852323268773868 absolute error = 2.047667591043023e-13 relative error = 5.315409554618916e-10 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.7251137946000975 y2[1] (numeric) = 0.7251137946008488 absolute error = 7.512879207638434e-13 relative error = 1.036096577335397e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 3.430048000000785 y1[1] (analytic) = 0.04131557069517156 y1[1] (numeric) = 0.04131557069495642 absolute error = 2.151334665967397e-13 relative error = 5.207079630679815e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.7155282702824843 y2[1] (numeric) = 0.715528270283244 absolute error = 7.596145934485321e-13 relative error = 1.061613670622186e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 3.440032000000795 y1[1] (analytic) = 0.04420346981793577 y1[1] (numeric) = 0.04420346981771018 absolute error = 2.255903797099279e-13 relative error = 5.103454109803695e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.7059711019441688 y2[1] (numeric) = 0.7059711019449356 absolute error = 7.668310431085956e-13 relative error = 1.086207411318714e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 3.450016000000805 y1[1] (analytic) = 0.04718664219210356 y1[1] (numeric) = 0.04718664219186729 absolute error = 2.362623985341372e-13 relative error = 5.006976287320452e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.696443242238224 y2[1] (numeric) = 0.6964432422389976 absolute error = 7.736034035588091e-13 relative error = 1.110791743879384e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 3.460000000000815 y1[1] (analytic) = 0.05026479045675913 y1[1] (numeric) = 0.05026479045651196 absolute error = 2.471772786449833e-13 relative error = 4.917503413400686e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.6869456408962554 y2[1] (numeric) = 0.6869456408970359 absolute error = 7.80486786311485e-13 relative error = 1.136169646979908e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 3.470112000000825 y1[1] (analytic) = 0.05347889819465723 y1[1] (numeric) = 0.05347889819439897 absolute error = 2.582586922095231e-13 relative error = 4.82917002645586e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.6773580872899492 y2[1] (numeric) = 0.6773580872907369 absolute error = 7.877032359715486e-13 relative error = 1.162905191142075e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 3.480096000000835 y1[1] (analytic) = 0.05674727587647732 y1[1] (numeric) = 0.05674727587620782 absolute error = 2.694997003338528e-13 relative error = 4.749121366115918e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.667924257986896 y2[1] (numeric) = 0.6679242579876908 absolute error = 7.948086633291496e-13 relative error = 1.189968254371655e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 3.490080000000845 y1[1] (analytic) = 0.06010967645028809 y1[1] (numeric) = 0.06010967645000731 absolute error = 2.807754029277021e-13 relative error = 4.671051642740233e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.6585235298038561 y2[1] (numeric) = 0.6585235298046578 absolute error = 8.016920460818255e-13 relative error = 1.217408353382016e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 3.500064000000855 y1[1] (analytic) = 0.06356576475392384 y1[1] (numeric) = 0.06356576475363157 absolute error = 2.922662112325725e-13 relative error = 4.597855659630544e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.6491568398000376 y2[1] (numeric) = 0.6491568398008458 absolute error = 8.08242361927114e-13 relative error = 1.245064847774045e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 3.510048000000865 y1[1] (analytic) = 0.06711519628647933 y1[1] (numeric) = 0.06711519628617538 absolute error = 3.039513085667522e-13 relative error = 4.528800113603849e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.6398251216417419 y2[1] (numeric) = 0.6398251216425564 absolute error = 8.145706331674774e-13 relative error = 1.273114489592644e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 3.520032000000875 y1[1] (analytic) = 0.07075761724264973 y1[1] (numeric) = 0.07075761724233387 absolute error = 3.15858450505857e-13 relative error = 4.463949788228182e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.6305293055092973 y2[1] (numeric) = 0.6305293055101183 absolute error = 8.210099267103033e-13 relative error = 1.302096380829039e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 3.530016000000885 y1[1] (analytic) = 0.07449266454799752 y1[1] (numeric) = 0.07449266454766969 absolute error = 3.278349813840009e-13 relative error = 4.4009028724267e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.6212703180043389 y2[1] (numeric) = 0.621270318005166 absolute error = 8.271161533457416e-13 relative error = 1.331330548677468e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 3.540000000000895 y1[1] (analytic) = 0.07831996589514401 y1[1] (numeric) = 0.07831996589480399 absolute error = 3.40019679079262e-13 relative error = 4.341417609074111e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.6120490820574445 y2[1] (numeric) = 0.6120490820582782 absolute error = 8.337774914934926e-13 relative error = 1.362272268574757e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 3.550112000000905 y1[1] (analytic) = 0.08228998038488311 y1[1] (numeric) = 0.08228998038453066 absolute error = 3.524541769550638e-13 relative error = 4.283075233540954e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.6027490466996691 y2[1] (numeric) = 0.6027490467005083 absolute error = 8.392175843141558e-13 relative error = 1.392316734317975e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 3.560096000000915 y1[1] (analytic) = 0.08630180641667429 y1[1] (numeric) = 0.08630180641630945 absolute error = 3.648331636796343e-13 relative error = 4.227410512338305e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.5936065809556367 y2[1] (numeric) = 0.5936065809564812 absolute error = 8.445466548323566e-13 relative error = 1.422738025364773e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 3.570080000000925 y1[1] (analytic) = 0.0904047093617576 y1[1] (numeric) = 0.09040470936138018 absolute error = 3.77420317221322e-13 relative error = 4.174786024819364e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.5845046242751535 y2[1] (numeric) = 0.5845046242760032 absolute error = 8.497647030480948e-13 relative error = 1.453820325377051e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 3.580064000000935 y1[1] (analytic) = 0.09459828024511419 y1[1] (numeric) = 0.09459828024472411 absolute error = 3.900768597020488e-13 relative error = 4.123508997111979e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.5754440839360553 y2[1] (numeric) = 0.57544408393691 absolute error = 8.54760706658908e-13 relative error = 1.485393160726092e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 3.590048000000945 y1[1] (analytic) = 0.09888210105399731 y1[1] (numeric) = 0.09888210105359438 absolute error = 4.029276912120849e-13 relative error = 4.074829386888281e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.5664258630878201 y2[1] (numeric) = 0.5664258630886798 absolute error = 8.597567102697212e-13 relative error = 1.517862735968365e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 3.600032000000955 y1[1] (analytic) = 0.1032557447795991 y1[1] (numeric) = 0.1032557447791831 absolute error = 4.159450561758149e-13 relative error = 4.028299413884e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.5574508606615436 y2[1] (numeric) = 0.5574508606624083 absolute error = 8.647527138805344e-13 relative error = 1.551262676057772e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 3.610016000000965 y1[1] (analytic) = 0.1077187754596147 y1[1] (numeric) = 0.1077187754591856 absolute error = 4.290873212298152e-13 relative error = 3.983403259078878e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.5485199712803339 y2[1] (numeric) = 0.548519971281203 absolute error = 8.690825836765725e-13 relative error = 1.584413748232346e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 3.620000000000975 y1[1] (analytic) = 0.1122707482216988 y1[1] (numeric) = 0.1122707482212565 absolute error = 4.422989752228546e-13 relative error = 3.939574486040261e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.539634085170136 y2[1] (numeric) = 0.5396340851710097 absolute error = 8.737455203799982e-13 relative error = 1.619144424697568e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 3.630112000000985 y1[1] (analytic) = 0.1169712749186367 y1[1] (numeric) = 0.1169712749181808 absolute error = 4.558436961232815e-13 relative error = 3.897056746969364e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.5306810565498319 y2[1] (numeric) = 0.5306810565507097 absolute error = 8.778533455711113e-13 relative error = 1.654201397876126e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 3.640096000000995 y1[1] (analytic) = 0.1217008873045742 y1[1] (numeric) = 0.1217008873041048 absolute error = 4.693467836602849e-13 relative error = 3.856560079842938e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.5218884349459556 y2[1] (numeric) = 0.5218884349468376 absolute error = 8.819611707622244e-13 relative error = 1.689941971704271e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 3.650080000001005 y1[1] (analytic) = 0.1265180480436694 y1[1] (numeric) = 0.1265180480431864 absolute error = 4.830025268631744e-13 relative error = 3.817657119531749e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.5131434712293994 y2[1] (numeric) = 0.5131434712302856 absolute error = 8.861800182558e-13 relative error = 1.726963447732604e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 3.660064000001015 y1[1] (analytic) = 0.1314222769640954 y1[1] (numeric) = 0.1314222769635986 absolute error = 4.967415367929107e-13 relative error = 3.779736192887761e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.5044470370931444 y2[1] (numeric) = 0.504447037094034 absolute error = 8.896217096321379e-13 relative error = 1.763558201785755e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 3.670048000001025 y1[1] (analytic) = 0.1364130852151186 y1[1] (numeric) = 0.136413085214608 absolute error = 5.106193246007251e-13 relative error = 3.743184341850317e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.4957999993927708 y2[1] (numeric) = 0.4957999993936638 absolute error = 8.930078898572447e-13 relative error = 1.801145403289538e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 3.680032000001035 y1[1] (analytic) = 0.1414899753158273 y1[1] (numeric) = 0.1414899753153028 absolute error = 5.244971124085396e-13 relative error = 3.706955996266037e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.4872032200600502 y2[1] (numeric) = 0.4872032200609469 absolute error = 8.966716258385077e-13 relative error = 1.840446838031958e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 3.690016000001045 y1[1] (analytic) = 0.1466524412047204 y1[1] (numeric) = 0.1466524412041818 absolute error = 5.386247003968947e-13 relative error = 3.672797370246282e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.4786575560170294 y2[1] (numeric) = 0.4786575560179294 absolute error = 8.999467837611519e-13 relative error = 1.880147450820006e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 3.700000000001055 y1[1] (analytic) = 0.151899968290151 y1[1] (numeric) = 0.1518999682895982 absolute error = 5.527522883852498e-13 relative error = 3.638923000493409e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.4701638590906118 y2[1] (numeric) = 0.4701638590915148 absolute error = 9.030554082301023e-13 relative error = 1.920724851069555e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 3.710112000001065 y1[1] (analytic) = 0.1573009398644692 y1[1] (numeric) = 0.1573009398639019 absolute error = 5.67323965583455e-13 relative error = 3.606615231112174e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.4616151060377965 y2[1] (numeric) = 0.4616151060387024 absolute error = 9.058309657916652e-13 relative error = 1.962307892319054e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 3.720096000001075 y1[1] (analytic) = 0.1627180852255828 y1[1] (numeric) = 0.162718085225001 absolute error = 5.818401316304289e-13 relative error = 3.575755766937644e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.4532285713465949 y2[1] (numeric) = 0.4532285713475033 absolute error = 9.084399898995343e-13 relative error = 2.004374938677086e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 3.730080000001085 y1[1] (analytic) = 0.1682186903690278 y1[1] (numeric) = 0.1682186903684314 absolute error = 5.963840532530185e-13 relative error = 3.545290074157086e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.4448965385186427 y2[1] (numeric) = 0.4448965385195538 absolute error = 9.110490140074035e-13 relative error = 2.047777258597905e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 3.740064000001095 y1[1] (analytic) = 0.1738022069976296 y1[1] (numeric) = 0.1738022069970186 absolute error = 6.110112416024549e-13 relative error = 3.515555136827395e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.4366198380862064 y2[1] (numeric) = 0.4366198380871195 absolute error = 9.1310292660296e-13 relative error = 2.091299677553077e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 3.750048000001105 y1[1] (analytic) = 0.1794680785496446 y1[1] (numeric) = 0.1794680785490189 absolute error = 6.257216966787382e-13 relative error = 3.486534773957868e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.4283992950660507 y2[1] (numeric) = 0.4283992950669661 absolute error = 9.153788838034416e-13 relative error = 2.136742273729251e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 3.760032000001115 y1[1] (analytic) = 0.1852157402542375 y1[1] (numeric) = 0.1852157402535968 absolute error = 6.406541963599466e-13 relative error = 3.458961940710594e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.4202357288772015 y2[1] (numeric) = 0.420235728878119 absolute error = 9.174883075502294e-13 relative error = 2.18327058958457e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 3.770016000001125 y1[1] (analytic) = 0.1910446191877772 y1[1] (numeric) = 0.1910446191871216 absolute error = 6.555311848899237e-13 relative error = 3.43129886451083e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.412129953259267 y2[1] (numeric) = 0.4121299532601861 absolute error = 9.190981309359358e-13 relative error = 2.230117281375421e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 3.780000000001135 y1[1] (analytic) = 0.1969541343309458 y1[1] (numeric) = 0.1969541343302751 absolute error = 6.706579736004414e-13 relative error = 3.405147984725835e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.4040827761913243 y2[1] (numeric) = 0.4040827761922445 absolute error = 9.20208353960561e-13 relative error = 2.277276855583824e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 3.790112000001145 y1[1] (analytic) = 0.2030210029959526 y1[1] (numeric) = 0.2030210029952665 absolute error = 6.861455847939624e-13 relative error = 3.37967783957624e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.3959929815520166 y2[1] (numeric) = 0.3959929815529379 absolute error = 9.213740881364174e-13 relative error = 2.326743480465924e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 3.800096000001155 y1[1] (analytic) = 0.2090910300885098 y1[1] (numeric) = 0.2090910300878085 absolute error = 7.013001290800958e-13 relative error = 3.354042154669333e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.388066178975581 y2[1] (numeric) = 0.3880661789765036 absolute error = 9.225953334635051e-13 relative error = 2.377417521668538e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 3.810080000001165 y1[1] (analytic) = 0.2152398945347802 y1[1] (numeric) = 0.2152398945340636 absolute error = 7.166212068199229e-13 relative error = 3.329406978055016e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.3802003736123931 y2[1] (numeric) = 0.3802003736133164 absolute error = 9.232614672782802e-13 relative error = 2.428354971106702e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 3.820064000001175 y1[1] (analytic) = 0.2214669834194728 y1[1] (numeric) = 0.2214669834187407 absolute error = 7.320533068622126e-13 relative error = 3.30547378015104e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.372396349521432 y2[1] (numeric) = 0.3723963495223557 absolute error = 9.237610676393615e-13 relative error = 2.48058572224591e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 3.830048000001185 y1[1] (analytic) = 0.2277716760299296 y1[1] (numeric) = 0.2277716760291819 absolute error = 7.477074515094273e-13 relative error = 3.282706017455731e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.364654884603355 y2[1] (numeric) = 0.3646548846042789 absolute error = 9.23872089941824e-13 relative error = 2.533551938970308e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 3.840032000001195 y1[1] (analytic) = 0.2341533439179976 y1[1] (numeric) = 0.2341533439172343 absolute error = 7.632505738541795e-13 relative error = 3.259618509319585e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.3569767505229573 y2[1] (numeric) = 0.3569767505238812 absolute error = 9.239276010930553e-13 relative error = 2.588201051579792e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 3.850016000001205 y1[1] (analytic) = 0.2406113509626721 y1[1] (numeric) = 0.2406113509618932 absolute error = 7.788214517745473e-13 relative error = 3.236844183196378e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.3493627126322517 y2[1] (numeric) = 0.3493627126331756 absolute error = 9.239276010930553e-13 relative error = 2.644608504816613e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 3.860000000001215 y1[1] (analytic) = 0.2471450534335047 y1[1] (numeric) = 0.24714505343271 absolute error = 7.946421298754558e-13 relative error = 3.215286403008092e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.34181352989418 y2[1] (numeric) = 0.3418135298951035 absolute error = 9.234835118832052e-13 relative error = 2.701717255513849e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 3.870112000001225 y1[1] (analytic) = 0.2538390119335716 y1[1] (numeric) = 0.2538390119327609 absolute error = 8.107403637325206e-13 relative error = 3.193915535507549e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.3342344407467961 y2[1] (numeric) = 0.3342344407477189 absolute error = 9.228173780684301e-13 relative error = 2.760988293146974e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 3.880096000001235 y1[1] (analytic) = 0.2605230932987863 y1[1] (numeric) = 0.2605230932979598 absolute error = 8.26561041833429e-13 relative error = 3.172697788005574e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.326818074770568 y2[1] (numeric) = 0.3268180747714899 absolute error = 9.218736884974987e-13 relative error = 2.82075490819983e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 3.890080000001245 y1[1] (analytic) = 0.267280885299073 y1[1] (numeric) = 0.2672808852982305 absolute error = 8.425482533880313e-13 relative error = 3.152295206016191e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.3194688111835801 y2[1] (numeric) = 0.3194688111845011 absolute error = 9.210410212290299e-13 relative error = 2.883038935214747e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 3.900064000001255 y1[1] (analytic) = 0.2741117143215904 y1[1] (numeric) = 0.274111714320732 absolute error = 8.58424442640171e-13 relative error = 3.131659092953099e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.3121873825562229 y2[1] (numeric) = 0.3121873825571427 absolute error = 9.197642647507109e-13 relative error = 2.946192947388152e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 3.910048000001265 y1[1] (analytic) = 0.2810148994732091 y1[1] (numeric) = 0.2810148994723345 absolute error = 8.745781876484671e-13 relative error = 3.11221287301119e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.3049745146971369 y2[1] (numeric) = 0.3049745146980551 absolute error = 9.182099525162357e-13 relative error = 3.010776010015423e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 3.920032000001275 y1[1] (analytic) = 0.2879897526483817 y1[1] (numeric) = 0.2879897526474911 absolute error = 8.905653992030693e-13 relative error = 3.092350998649583e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.2978309265808644 y2[1] (numeric) = 0.297830926581781 absolute error = 9.166001291305292e-13 relative error = 3.077585459821823e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 3.930016000001285 y1[1] (analytic) = 0.2950355785977334 y1[1] (numeric) = 0.2950355785968269 absolute error = 9.065526107576716e-13 relative error = 3.072689114534595e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.2907573302761828 y2[1] (numeric) = 0.2907573302770974 absolute error = 9.146572388374352e-13 relative error = 3.145775337696994e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 3.940000000001295 y1[1] (analytic) = 0.3021516749973641 y1[1] (numeric) = 0.302151674996441 absolute error = 9.230949338245864e-13 relative error = 3.055071377091123e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.2837544308751255 y2[1] (numeric) = 0.2837544308760379 absolute error = 9.123812816369536e-13 relative error = 3.215390430461591e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 3.950112000001305 y1[1] (analytic) = 0.3094299048419286 y1[1] (numeric) = 0.3094299048409889 absolute error = 9.396927680427325e-13 relative error = 3.036851814703469e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.2767345275257693 y2[1] (numeric) = 0.2767345275266793 absolute error = 9.099387909827783e-13 relative error = 3.288128876141216e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 3.960096000001315 y1[1] (analytic) = 0.3166852851691944 y1[1] (numeric) = 0.3166852851682384 absolute error = 9.55957535353491e-13 relative error = 3.01863578802771e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.2698760375828673 y2[1] (numeric) = 0.2698760375837747 absolute error = 9.073852780261404e-13 relative error = 3.362229882108454e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 3.970080000001325 y1[1] (analytic) = 0.3240087779163717 y1[1] (numeric) = 0.3240087779153993 absolute error = 9.724443472691746e-13 relative error = 3.001290130232729e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.2630903259789008 y2[1] (numeric) = 0.2630903259798058 absolute error = 9.049982985231964e-13 relative error = 3.439876761549093e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 3.980064000001335 y1[1] (analytic) = 0.3313996530818927 y1[1] (numeric) = 0.3313996530809039 absolute error = 9.888201368823957e-13 relative error = 2.983769378412858e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.2563780691097212 y2[1] (numeric) = 0.2563780691106232 absolute error = 9.020562075079397e-13 relative error = 3.518460883336671e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 3.990048000001345 y1[1] (analytic) = 0.3388571739475486 y1[1] (numeric) = 0.3388571739465435 absolute error = 1.005084904193154e-12 relative error = 2.966101890316569e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.2497399360492537 y2[1] (numeric) = 0.2497399360501524 absolute error = 8.98670027282833e-13 relative error = 3.598423389944319e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 4.000032000001355 y1[1] (analytic) = 0.3463805971519252 y1[1] (numeric) = 0.3463805971509033 absolute error = 1.021849271864994e-12 relative error = 2.950076535080293e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.2431765884828047 y2[1] (numeric) = 0.2431765884836998 absolute error = 8.951173136040325e-13 relative error = 3.680935402493844e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 4.010016000001365 y1[1] (analytic) = 0.3539691727645009 y1[1] (numeric) = 0.3539691727634626 absolute error = 1.038280572629446e-12 relative error = 2.93325140299781e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.2366886806411053 y2[1] (numeric) = 0.2366886806419966 absolute error = 8.913147997446913e-13 relative error = 3.765768592441503e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 4.020000000001375 y1[1] (analytic) = 0.3616221443603994 y1[1] (numeric) = 0.3616221443593448 absolute error = 1.054600851091436e-12 relative error = 2.916306060174239e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.2302768592350979 y2[1] (numeric) = 0.2302768592359851 absolute error = 8.872347301291938e-13 relative error = 3.852904425899713e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 4.030112000001385 y1[1] (analytic) = 0.3694380897161814 y1[1] (numeric) = 0.3694380897151102 absolute error = 1.071198685309582e-12 relative error = 2.899535037474139e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.2238610451090465 y2[1] (numeric) = 0.2238610451099295 absolute error = 8.830158826356183e-13 relative error = 3.944482088009043e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 4.040096000001395 y1[1] (analytic) = 0.3772183593311527 y1[1] (numeric) = 0.3772183593300646 absolute error = 1.088074075283885e-12 relative error = 2.884467440060853e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.2176043021297863 y2[1] (numeric) = 0.2176043021306648 absolute error = 8.784917238102707e-13 relative error = 4.03710641385348e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 4.050080000001405 y1[1] (analytic) = 0.3850607074638284 y1[1] (numeric) = 0.3850607074627238 absolute error = 1.104616398350799e-12 relative error = 2.868681163617725e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.2114255479061519 y2[1] (numeric) = 0.2114255479070256 absolute error = 8.737732759556138e-13 relative error = 4.132770540783778e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 4.060064000001415 y1[1] (analytic) = 0.3929643523934329 y1[1] (numeric) = 0.3929643523923114 absolute error = 1.121436277173871e-12 relative error = 2.853786279451367e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.2053253983328298 y2[1] (numeric) = 0.2053253983336985 absolute error = 8.687217611935694e-13 relative error = 4.230951300946134e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 4.070048000001425 y1[1] (analytic) = 0.4009285062891604 y1[1] (numeric) = 0.4009285062880221 absolute error = 1.138311667148173e-12 relative error = 2.839188656561108e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.1993044614692402 y2[1] (numeric) = 0.1993044614701037 absolute error = 8.634759574022155e-13 relative error = 4.332446705090346e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 4.080032000001435 y1[1] (analytic) = 0.4089523752887062 y1[1] (numeric) = 0.4089523752875514 absolute error = 1.154798479063857e-12 relative error = 2.823796972076783e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.1933633374789256 y2[1] (numeric) = 0.1933633374797836 absolute error = 8.579525978547053e-13 relative error = 4.436997256257083e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 4.090016000001445 y1[1] (analytic) = 0.4170351595773982 y1[1] (numeric) = 0.4170351595762265 absolute error = 1.17172938018939e-12 relative error = 2.80966569192094e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.1875026185697271 y2[1] (numeric) = 0.1875026185705792 absolute error = 8.521516825510389e-13 relative error = 4.544745503029587e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 4.100000000001455 y1[1] (analytic) = 0.425176053467922 y1[1] (numeric) = 0.4251760534667335 absolute error = 1.18849374786123e-12 relative error = 2.795297943445673e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.181722888934753 y2[1] (numeric) = 0.1817228889355991 absolute error = 8.461009670668318e-13 relative error = 4.655995576708126e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 4.110112000001465 y1[1] (analytic) = 0.4334797189573805 y1[1] (numeric) = 0.4334797189561752 absolute error = 1.205313626684301e-12 relative error = 2.780553677536196e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.1759522033477722 y2[1] (numeric) = 0.1759522033486121 absolute error = 8.399114737045466e-13 relative error = 4.773520636422205e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 4.120096000001475 y1[1] (analytic) = 0.44173511068551 y1[1] (numeric) = 0.4417351106842881 absolute error = 1.221855949751216e-12 relative error = 2.766037655134702e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.1703372291354275 y2[1] (numeric) = 0.1703372291362608 absolute error = 8.333611578592581e-13 relative error = 4.892419361810154e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 4.130080000001485 y1[1] (analytic) = 0.4500461499384732 y1[1] (numeric) = 0.4500461499372349 absolute error = 1.238398272818131e-12 relative error = 2.751713958640542e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.1648049552335072 y2[1] (numeric) = 0.164804955234334 absolute error = 8.267275752871228e-13 relative error = 5.016399986977073e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 4.140064000001495 y1[1] (analytic) = 0.4584120082766316 y1[1] (numeric) = 0.458412008275377 absolute error = 1.254607528977658e-12 relative error = 2.736855724382677e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.1593559330959097 y2[1] (numeric) = 0.1593559330967294 absolute error = 8.197331702319843e-13 relative error = 5.144039222804596e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 4.150048000001505 y1[1] (analytic) = 0.4668318517960115 y1[1] (numeric) = 0.4668318517947401 absolute error = 1.271371896649498e-12 relative error = 2.723404351605899e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.1539907058780443 y2[1] (numeric) = 0.1539907058788569 absolute error = 8.125722317231521e-13 relative error = 5.276761523300524e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 4.160032000001515 y1[1] (analytic) = 0.4753048412114268 y1[1] (numeric) = 0.4753048412101388 absolute error = 1.288025242018875e-12 relative error = 2.70989295782479e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.1487098083826914 y2[1] (numeric) = 0.1487098083834964 absolute error = 8.049672040044697e-13 relative error = 5.413006800015224e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 4.170016000001525 y1[1] (analytic) = 0.4838301319401394 y1[1] (numeric) = 0.4838301319388346 absolute error = 1.304734098539484e-12 relative error = 2.696678053736655e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.1435137670066926 y2[1] (numeric) = 0.1435137670074899 absolute error = 7.972511539833249e-13 relative error = 5.555224217242837e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 4.180000000001535 y1[1] (analytic) = 0.4924068741860459 y1[1] (numeric) = 0.4924068741847245 absolute error = 1.321387443908861e-12 relative error = 2.683527613405336e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.13840309968848 y2[1] (numeric) = 0.1384030996892692 absolute error = 7.892575482060238e-13 relative error = 5.702600230648721e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 4.190112000001545 y1[1] (analytic) = 0.5011451446871806 y1[1] (numeric) = 0.5011451446858428 absolute error = 1.337818744673314e-12 relative error = 2.669523508021598e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.1333144553352549 y2[1] (numeric) = 0.1333144553360355 absolute error = 7.806533197651788e-13 relative error = 5.855728981542303e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 4.200096000001555 y1[1] (analytic) = 0.5098228521938013 y1[1] (numeric) = 0.5098228521924468 absolute error = 1.354472090042691e-12 relative error = 2.656750446187942e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.1283771665630942 y2[1] (numeric) = 0.1283771665638663 absolute error = 7.721601136267964e-13 relative error = 6.01477766100484e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 4.210080000001565 y1[1] (analytic) = 0.5185494202781291 y1[1] (numeric) = 0.5185494202767583 absolute error = 1.370792368504681e-12 relative error = 2.643513452911475e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.1235267606563938 y2[1] (numeric) = 0.1235267606571573 absolute error = 7.635003740347202e-13 relative error = 6.180849963017315e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 4.220064000001575 y1[1] (analytic) = 0.5273239790808492 y1[1] (numeric) = 0.5273239790794622 absolute error = 1.387001624664208e-12 relative error = 2.630264656429655e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.1187637211008398 y2[1] (numeric) = 0.1187637211015943 absolute error = 7.545492008986798e-13 relative error = 6.353364427323796e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 4.230048000001585 y1[1] (analytic) = 0.5361456539589591 y1[1] (numeric) = 0.5361456539575556 absolute error = 1.40343292542866e-12 relative error = 2.617633687908418e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.1140885226734907 y2[1] (numeric) = 0.1140885226742359 absolute error = 7.45264960855252e-13 relative error = 6.532339479827622e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 4.240032000001595 y1[1] (analytic) = 0.5450135655729532 y1[1] (numeric) = 0.5450135655715339 absolute error = 1.4193091146808e-12 relative error = 2.604172087329113e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.1095016313954513 y2[1] (numeric) = 0.1095016313961871 absolute error = 7.357864317825147e-13 relative error = 6.719410682799006e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 4.250016000001605 y1[1] (analytic) = 0.5539268299744743 y1[1] (numeric) = 0.5539268299730387 absolute error = 1.43562939314279e-12 relative error = 2.591731101396453e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.1050035044854206 y2[1] (numeric) = 0.1050035044861467 absolute error = 7.261274914682758e-13 relative error = 6.915269114366522e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 4.260000000001615 y1[1] (analytic) = 0.5628845586944252 y1[1] (numeric) = 0.5628845586929734 absolute error = 1.451838649302317e-12 relative error = 2.579283135195189e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.1005945903141161 y2[1] (numeric) = 0.1005945903148322 absolute error = 7.161077286710338e-13 relative error = 7.118749889381922e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 4.270112000001625 y1[1] (analytic) = 0.5720015390962965 y1[1] (numeric) = 0.5720015390948278 absolute error = 1.46871403927662e-12 relative error = 2.567674977932815e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.09622053715297285 y2[1] (numeric) = 0.09622053715367856 absolute error = 7.057132656029808e-13 relative error = 7.334330970123636e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 4.280096000001635 y1[1] (analytic) = 0.581046054666956 y1[1] (numeric) = 0.5810460546654712 absolute error = 1.484812273133684e-12 relative error = 2.555412365694057e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.09199251562012067 y2[1] (numeric) = 0.09199251562081591 absolute error = 6.952355358080808e-13 relative error = 7.557522817171644e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 4.290080000001645 y1[1] (analytic) = 0.5901323313272405 y1[1] (numeric) = 0.5901323313257393 absolute error = 1.501243573898137e-12 relative error = 2.543910059158691e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.0878550037539223 y2[1] (numeric) = 0.08785500375460675 absolute error = 6.84452494681409e-13 relative error = 7.790705883964537e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 4.300064000001655 y1[1] (analytic) = 0.5992594633622901 y1[1] (numeric) = 0.5992594633607724 absolute error = 1.517674874662589e-12 relative error = 2.53258390972636e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.08380841397919381 y2[1] (numeric) = 0.08380841397986727 absolute error = 6.7346128673762e-13 relative error = 8.035724037264478e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 4.310048000001665 y1[1] (analytic) = 0.6084265409848041 y1[1] (numeric) = 0.6084265409832709 absolute error = 1.533217997007341e-12 relative error = 2.519972245993185e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.0798531496576893 y2[1] (numeric) = 0.0798531496583515 absolute error = 6.621925230376746e-13 relative error = 8.292628730066755e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 4.320032000001675 y1[1] (analytic) = 0.6176326504257289 y1[1] (numeric) = 0.6176326504241797 absolute error = 1.549205208561943e-12 relative error = 2.508295517560624e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.07598960504789387 y2[1] (numeric) = 0.07598960504854455 absolute error = 6.506739591571886e-13 relative error = 8.562670627740323e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 4.330016000001685 y1[1] (analytic) = 0.6268768740253414 y1[1] (numeric) = 0.6268768740237768 absolute error = 1.564637308604233e-12 relative error = 2.495924436576014e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.07221816526572422 y2[1] (numeric) = 0.07221816526636311 absolute error = 6.388917173083541e-13 relative error = 8.846689956156797e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 4.340000000001695 y1[1] (analytic) = 0.6361582903247209 y1[1] (numeric) = 0.636158290323141 absolute error = 1.57995838634406e-12 relative error = 2.483593172286705e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.06853920624614052 y2[1] (numeric) = 0.06853920624676743 absolute error = 6.269151864302103e-13 relative error = 9.146811303574329e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 4.350112000001706 y1[1] (analytic) = 0.6455956630654116 y1[1] (numeric) = 0.6455956630638162 absolute error = 1.59539048638635e-12 relative error = 2.471191455672318e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.06490772329039374 y2[1] (numeric) = 0.06490772329100826 absolute error = 6.14522321917832e-13 relative error = 9.467630210483449e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 4.360096000001715 y1[1] (analytic) = 0.6549491326658189 y1[1] (numeric) = 0.6549491326642077 absolute error = 1.611155653336027e-12 relative error = 2.459970664863989e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.06141601390609197 y2[1] (numeric) = 0.06141601390669389 absolute error = 6.019143516944325e-13 relative error = 9.800609212684959e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 4.370080000001725 y1[1] (analytic) = 0.6643369967393096 y1[1] (numeric) = 0.6643369967376824 absolute error = 1.627142864890629e-12 relative error = 2.44927329484426e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.05801786203664472 y2[1] (numeric) = 0.0580178620372339 absolute error = 5.891814813807628e-13 relative error = 1.01551739533013e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 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] = 4.380064000001735 y1[1] (analytic) = 0.6737583195089627 y1[1] (numeric) = 0.6737583195073201 absolute error = 1.642574964932919e-12 relative error = 2.437929027919141e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.05471360640788658 y2[1] (numeric) = 0.05471360640846276 absolute error = 5.761779942048406e-13 relative error = 1.053079904675757e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 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] = 4.390048000001745 y1[1] (analytic) = 0.6832121618627137 y1[1] (numeric) = 0.6832121618610557 absolute error = 1.658007064975209e-12 relative error = 2.42678212936785e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.05150357638612868 y2[1] (numeric) = 0.05150357638669158 absolute error = 5.629038901666661e-13 relative error = 1.092941363812303e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 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] = 4.400032000001755 y1[1] (analytic) = 0.6926975814469645 y1[1] (numeric) = 0.6926975814452911 absolute error = 1.673328142715036e-12 relative error = 2.415669099377608e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.04838809194532723 y2[1] (numeric) = 0.04838809194587665 absolute error = 5.494216193113743e-13 relative error = 1.135447993965448e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 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] = 4.410016000001765 y1[1] (analytic) = 0.7022136327605166 y1[1] (numeric) = 0.7022136327588282 absolute error = 1.688427175849938e-12 relative error = 2.4044351990326e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.04536746363518929 y2[1] (numeric) = 0.04536746363572498 absolute error = 5.356964871694458e-13 relative error = 1.1807944377872e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 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] = 4.420000000001775 y1[1] (analytic) = 0.7117593672488185 y1[1] (numeric) = 0.7117593672471154 absolute error = 1.70308211977499e-12 relative error = 2.392777950163068e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.04244199255021708 y2[1] (numeric) = 0.04244199255073872 absolute error = 5.216382881201298e-13 relative error = 1.22906173055596e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 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] = 4.430112000001786 y1[1] (analytic) = 0.7214567653488159 y1[1] (numeric) = 0.721456765347098 absolute error = 1.717848086002505e-12 relative error = 2.381082510428667e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.03957630889796593 y2[1] (numeric) = 0.03957630889847312 absolute error = 5.07191511012195e-13 relative error = 1.281553346270406e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 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] = 4.440096000001795 y1[1] (analytic) = 0.7310593586932275 y1[1] (numeric) = 0.7310593586914952 absolute error = 1.732280985322632e-12 relative error = 2.369549017769355e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.03684324668644823 y2[1] (numeric) = 0.03684324668694096 absolute error = 4.927308561164523e-13 relative error = 1.337370890002725e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 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] = 4.450080000001805 y1[1] (analytic) = 0.7406887598869278 y1[1] (numeric) = 0.7406887598851817 absolute error = 1.746158773130446e-12 relative error = 2.357479777871898e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.03420619138916581 y2[1] (numeric) = 0.03420619138964377 absolute error = 4.779648898889377e-13 relative error = 1.397305196743781e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 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] = 4.460064000001815 y1[1] (analytic) = 0.7503440090767142 y1[1] (numeric) = 0.7503440090749539 absolute error = 1.760258605543186e-12 relative error = 2.345935443276417e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.03166540586628208 y2[1] (numeric) = 0.03166540586674509 absolute error = 4.630046346321137e-13 relative error = 1.46217811509288e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 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] = 4.470048000001825 y1[1] (analytic) = 0.76002414383287 y1[1] (numeric) = 0.7600241438310955 absolute error = 1.774469460258388e-12 relative error = 2.334754066245289e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.02922114338184467 y2[1] (numeric) = 0.02922114338229248 absolute error = 4.478119264295088e-13 relative error = 1.532492827463206e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 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] = 4.480032000001835 y1[1] (analytic) = 0.7697281992451001 y1[1] (numeric) = 0.7697281992433113 absolute error = 1.788791337276052e-12 relative error = 2.323925950784165e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.02687364757853994 y2[1] (numeric) = 0.02687364757897232 absolute error = 4.323763569402672e-13 relative error = 1.608923223677098e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 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] = 4.490016000001845 y1[1] (analytic) = 0.7794552080187116 y1[1] (numeric) = 0.7794552080169093 absolute error = 1.802336058176479e-12 relative error = 2.312302284512046e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.02462315245340674 y2[1] (numeric) = 0.02462315245382343 absolute error = 4.166909872704849e-13 relative error = 1.692273107836091e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 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] = 4.500000000001855 y1[1] (analytic) = 0.789204200571034 y1[1] (numeric) = 0.7892042005692176 absolute error = 1.816435890589219e-12 relative error = 2.301604438084496e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.02246988233451186 y2[1] (numeric) = 0.0224698823349126 absolute error = 4.007419396323542e-13 relative error = 1.783462564095621e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 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] = 4.510112000001866 y1[1] (analytic) = 0.7990995937758893 y1[1] (numeric) = 0.7990995937740591 absolute error = 1.830202656094571e-12 relative error = 2.290331105596655e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.02038832858168371 y2[1] (numeric) = 0.02038832858206808 absolute error = 3.843696194660851e-13 relative error = 1.885243402499367e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 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] = 4.520096000001876 y1[1] (analytic) = 0.8088898870367613 y1[1] (numeric) = 0.8088898870349175 absolute error = 1.84385839929746e-12 relative error = 2.279492461022279e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.01843139581424158 y2[1] (numeric) = 0.01843139581460956 absolute error = 3.679764826181042e-13 relative error = 1.996465630312035e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 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] = 4.530080000001885 y1[1] (analytic) = 0.8186992300443767 y1[1] (numeric) = 0.8186992300425192 absolute error = 1.857514142500349e-12 relative error = 2.268860253355393e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.01657230524379771 y2[1] (numeric) = 0.01657230524414912 absolute error = 3.514029345286218e-13 relative error = 2.120422773772747e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 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] = 4.540064000001895 y1[1] (analytic) = 0.8285266450090354 y1[1] (numeric) = 0.8285266450071649 absolute error = 1.870503751888464e-12 relative error = 2.257626550885476e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.01481124218343688 y2[1] (numeric) = 0.01481124218377144 absolute error = 3.34562239023839e-13 relative error = 2.258839838551647e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 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] = 4.550048000001905 y1[1] (analytic) = 0.8383711523396351 y1[1] (numeric) = 0.8383711523377517 absolute error = 1.883382338974116e-12 relative error = 2.246477987366546e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.01314838217491754 y2[1] (numeric) = 0.01314838217523505 absolute error = 3.17506437808035e-13 relative error = 2.414794714544615e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 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] = 4.560032000001915 y1[1] (analytic) = 0.8482317707413163 y1[1] (numeric) = 0.8482317707394197 absolute error = 1.896593992967155e-12 relative error = 2.235938405501621e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.01158389097117418 y2[1] (numeric) = 0.01158389097147438 absolute error = 3.002008364116904e-13 relative error = 2.591537136862926e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 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] = 4.570016000001925 y1[1] (analytic) = 0.8581075173132771 y1[1] (numeric) = 0.8581075173113678 absolute error = 1.909250535447882e-12 relative error = 2.224954911740803e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.0101179245197951 y2[1] (numeric) = 0.01011792452007775 absolute error = 2.826575778991369e-13 relative error = 2.793632007692237e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 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] = 4.580000000001935 y1[1] (analytic) = 0.8679974076467482 y1[1] (numeric) = 0.8679974076448268 absolute error = 1.921351966416296e-12 relative error = 2.213545742752074e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.008750628947477579 y2[1] (numeric) = 0.00875062894774249 absolute error = 2.649113567398942e-13 relative error = 3.027340758360649e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 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] = 4.590112000001946 y1[1] (analytic) = 0.8780274992090211 y1[1] (numeric) = 0.878027499207087 absolute error = 1.934119531199485e-12 relative error = 2.202800633171346e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.007466519934569371 y2[1] (numeric) = 0.007466519934816007 absolute error = 2.466360449204785e-13 relative error = 3.303226229646478e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 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] = 4.600096000001956 y1[1] (analytic) = 0.8879428679198897 y1[1] (numeric) = 0.8879428679179431 absolute error = 1.946665051377749e-12 relative error = 2.192331423234516e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.006298234302675287 y2[1] (numeric) = 0.006298234302903792 absolute error = 2.285047151495689e-13 relative error = 3.628075809318613e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 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] = 4.610080000001965 y1[1] (analytic) = 0.8978694064215865 y1[1] (numeric) = 0.8978694064196279 absolute error = 1.958655460043701e-12 relative error = 2.181448043596701e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.005229000294378894 y2[1] (numeric) = 0.005229000294588883 absolute error = 2.099891441287305e-13 relative error = 4.015856422009883e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 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] = 4.620064000001975 y1[1] (analytic) = 0.9078061252424313 y1[1] (numeric) = 0.9078061252404604 absolute error = 1.970867913314578e-12 relative error = 2.171022929359784e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.004258924490314175 y2[1] (numeric) = 0.004258924490505624 absolute error = 1.914484196174904e-13 relative error = 4.495229254542793e-09 % Desired digits = 10 Estimated correct digits = 7 Correct digits = 11 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] = 4.630048000001985 y1[1] (analytic) = 0.9177520338959763 y1[1] (numeric) = 0.9177520338939936 absolute error = 1.982636277375605e-12 relative error = 2.160318042509867e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.003388103587082747 y2[1] (numeric) = 0.003388103587255253 absolute error = 1.725056729406926e-13 relative error = 5.091511180424826e-09 % Desired digits = 10 Estimated correct digits = 7 Correct digits = 11 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] = 4.640032000001995 y1[1] (analytic) = 0.9277061409797358 y1[1] (numeric) = 0.9277061409777411 absolute error = 1.994737708344019e-12 relative error = 2.150182714364063e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.002616624387613897 y2[1] (numeric) = 0.002616624387767296 absolute error = 1.533985612145461e-13 relative error = 5.862460120018617e-09 % Desired digits = 10 Estimated correct digits = 7 Correct digits = 11 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] = 4.650016000002005 y1[1] (analytic) = 0.9376674542740095 y1[1] (numeric) = 0.9376674542720033 absolute error = 2.00628402780012e-12 relative error = 2.139654115811761e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.001944563792512954 y2[1] (numeric) = 0.001944563792647067 absolute error = 1.341127729703739e-13 relative error = 6.8968050051503e-09 % Desired digits = 10 Estimated correct digits = 7 Correct digits = 11 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] = 4.660000000002015 y1[1] (analytic) = 0.9476349808407866 y1[1] (numeric) = 0.9476349808387693 absolute error = 2.017275235743909e-12 relative error = 2.128747119438423e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.00137198879239564 y2[1] (numeric) = 0.001371988792510258 absolute error = 1.146186010686501e-13 relative error = 8.354193686124337e-09 % Desired digits = 10 Estimated correct digits = 7 Correct digits = 11 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] = 4.670112000002026 y1[1] (analytic) = 0.9577356124032215 y1[1] (numeric) = 0.9577356124011928 absolute error = 2.028710532897549e-12 relative error = 2.118236501414996e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.0008935384349326725 y2[1] (numeric) = 0.0008935384350273721 absolute error = 9.469963875574638e-14 relative error = 1.059827255924161e-08 % Desired digits = 10 Estimated correct digits = 7 Correct digits = 10 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] = 4.680096000002036 y1[1] (analytic) = 0.9677126320415764 y1[1] (numeric) = 0.9677126320395368 absolute error = 2.039590718538875e-12 relative error = 2.107640895661313e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.0005213729797333144 y2[1] (numeric) = 0.0005213729798080366 absolute error = 7.472212952552848e-14 relative error = 1.433179938932572e-08 % Desired digits = 10 Estimated correct digits = 7 Correct digits = 10 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] = 4.690080000002046 y1[1] (analytic) = 0.9776928700663008 y1[1] (numeric) = 0.9776928700642508 absolute error = 2.050026814970352e-12 relative error = 2.096800414256199e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.0002488349823637215 y2[1] (numeric) = 0.00024883498241827 absolute error = 5.454854233241657e-14 relative error = 2.192157300965147e-08 % Desired digits = 10 Estimated correct digits = 6 Correct digits = 10 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] = 4.700064000002055 y1[1] (analytic) = 0.9876753316529769 y1[1] (numeric) = 0.9876753316509163 absolute error = 2.060684956006753e-12 relative error = 2.086399133364993e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 7.595160925555344e-05 y2[1] (numeric) = 7.595160928975819e-05 absolute error = 3.42047489507516e-14 relative error = 4.503492327024079e-08 % Desired digits = 10 Estimated correct digits = 6 Correct digits = 10 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] = 4.710048000002065 y1[1] (analytic) = 0.9976590217555442 y1[1] (numeric) = 0.9976590217534738 absolute error = 2.070454918623454e-12 relative error = 2.075313181632087e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 2.740093324571369e-06 y2[1] (numeric) = 2.74009333824158e-06 absolute error = 1.367021137266148e-14 relative error = 4.988958313965419e-07 % Desired digits = 10 Estimated correct digits = 4 Correct digits = 9 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] = 4.720032000002075 y1[1] (analytic) = 1.007642945205484 y1[1] (numeric) = 1.007642945203403 absolute error = 2.080335903542618e-12 relative error = 2.064556610494986e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 2.92077322527895e-05 y2[1] (numeric) = 2.920773224575777e-05 absolute error = 7.031732103058089e-15 relative error = 2.407489921572573e-08 % Desired digits = 10 Estimated correct digits = 5 Correct digits = 10 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] = 4.730016000002085 y1[1] (analytic) = 1.017626106811017 y1[1] (numeric) = 1.017626106808926 absolute error = 2.09099404457902e-12 relative error = 2.054776337383546e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.0001553518877611682 y2[1] (numeric) = 0.0001553518877331904 absolute error = 2.797772864077119e-14 relative error = 1.800926209778863e-08 % Desired digits = 10 Estimated correct digits = 6 Correct digits = 10 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] = 4.740000000002095 y1[1] (analytic) = 1.027607511456306 y1[1] (numeric) = 1.027607511454206 absolute error = 2.099875828776021e-12 relative error = 2.043460956995261e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.0003811599858724035 y2[1] (numeric) = 0.0003811599858232834 absolute error = 4.912010468510752e-14 relative error = 1.288700454028007e-08 % Desired digits = 10 Estimated correct digits = 6 Correct digits = 10 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] = 4.750112000002106 y1[1] (analytic) = 1.037714073446371 y1[1] (numeric) = 1.037714073444261 absolute error = 2.109867835997647e-12 relative error = 2.033188033183868e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.0007114287333804814 y2[1] (numeric) = 0.0007114287333096981 absolute error = 7.078333145310589e-14 relative error = 9.949461995548897e-09 % Desired digits = 10 Estimated correct digits = 7 Correct digits = 11 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] = 4.760096000002116 y1[1] (analytic) = 1.047688925134156 y1[1] (numeric) = 1.047688925132038 absolute error = 2.118083486379874e-12 relative error = 2.021672116185301e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.001137764043735223 y2[1] (numeric) = 0.001137764043642876 absolute error = 9.234735372232183e-14 relative error = 8.116564610281586e-09 % Desired digits = 10 Estimated correct digits = 7 Correct digits = 11 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] = 4.770080000002126 y1[1] (analytic) = 1.057659023217163 y1[1] (numeric) = 1.057659023215035 absolute error = 2.127409359786725e-12 relative error = 2.011432146927297e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.001663665370410961 y2[1] (numeric) = 0.001663665370296964 absolute error = 1.139962690216434e-13 relative error = 6.85211527805522e-09 % Desired digits = 10 Estimated correct digits = 7 Correct digits = 11 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] = 4.780064000002135 y1[1] (analytic) = 1.067623373881716 y1[1] (numeric) = 1.06762337387958 absolute error = 2.135625010168951e-12 relative error = 2.000354303226e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.002289080291864476 y2[1] (numeric) = 0.002289080291728537 absolute error = 1.359385694288395e-13 relative error = 5.938567114136323e-09 % Desired digits = 10 Estimated correct digits = 7 Correct digits = 11 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] = 4.790048000002145 y1[1] (analytic) = 1.077580983887042 y1[1] (numeric) = 1.077580983884898 absolute error = 2.143840660551177e-12 relative error = 1.98949377597397e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.003013946467093964 y2[1] (numeric) = 0.003013946466935976 absolute error = 1.579877721702427e-13 relative error = 5.241890454762256e-09 % Desired digits = 10 Estimated correct digits = 7 Correct digits = 11 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] = 4.800032000002155 y1[1] (analytic) = 1.087530860664272 y1[1] (numeric) = 1.08753086066212 absolute error = 2.151612221723553e-12 relative error = 1.978437853624985e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.003838191641853839 y2[1] (numeric) = 0.00383819164167357 absolute error = 1.802689941765578e-13 relative error = 4.696716865588511e-09 % Desired digits = 10 Estimated correct digits = 7 Correct digits = 11 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] = 4.810016000002165 y1[1] (analytic) = 1.097472012415379 y1[1] (numeric) = 1.097472012413219 absolute error = 2.159161738291004e-12 relative error = 1.967395718401054e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.004761733655856526 y2[1] (numeric) = 0.004761733655653772 absolute error = 2.027536125104312e-13 relative error = 4.257978861565715e-09 % Desired digits = 10 Estimated correct digits = 7 Correct digits = 11 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] = 4.820000000002175 y1[1] (analytic) = 1.107403448212043 y1[1] (numeric) = 1.107403448209875 absolute error = 2.167599433278156e-12 relative error = 1.957371034718965e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.005784480450962248 y2[1] (numeric) = 0.005784480450736907 absolute error = 2.253414468911252e-13 relative error = 3.895621202309357e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 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] = 4.830112000002186 y1[1] (analytic) = 1.117451293122708 y1[1] (numeric) = 1.117451293120533 absolute error = 2.175370994450532e-12 relative error = 1.946725560065778e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.006921355710533983 y2[1] (numeric) = 0.006921355710285584 absolute error = 2.483993913338089e-13 relative error = 3.588883474891437e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 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] = 4.840096000002196 y1[1] (analytic) = 1.127360171849353 y1[1] (numeric) = 1.127360171847171 absolute error = 2.181810287993358e-12 relative error = 1.9353267415987e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.008143464695370639 y2[1] (numeric) = 0.008143464695099261 absolute error = 2.713784058583357e-13 relative error = 3.332468623737114e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 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] = 4.850080000002206 y1[1] (analytic) = 1.137256355386918 y1[1] (numeric) = 1.13725635538473 absolute error = 2.188249581536184e-12 relative error = 1.924148035023902e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.009464441372294852 y2[1] (numeric) = 0.009464441372000259 absolute error = 2.945924754138574e-13 relative error = 3.112624018953876e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 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] = 4.860064000002216 y1[1] (analytic) = 1.147138857289491 y1[1] (numeric) = 1.147138857287295 absolute error = 2.195799098103635e-12 relative error = 1.914152836991297e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.01088415406710685 y2[1] (numeric) = 0.01088415406678901 absolute error = 3.178464436093265e-13 relative error = 2.920267773219918e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 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] = 4.870048000002225 y1[1] (analytic) = 1.157006692474934 y1[1] (numeric) = 1.157006692472731 absolute error = 2.202904525461236e-12 relative error = 1.90396869766504e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.01240246126365752 y2[1] (numeric) = 0.01240246126331618 absolute error = 3.413363341975284e-13 relative error = 2.752166097851351e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 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] = 4.880032000002235 y1[1] (analytic) = 1.166858877323081 y1[1] (numeric) = 1.166858877320871 absolute error = 2.209565863608987e-12 relative error = 1.893601622741223e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.01401921161795394 y2[1] (numeric) = 0.01401921161758893 absolute error = 3.650153096446118e-13 relative error = 2.603679290903554e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 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] = 4.890016000002245 y1[1] (analytic) = 1.17669442977378 y1[1] (numeric) = 1.176694429771565 absolute error = 2.215339023337037e-12 relative error = 1.882679961154347e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.01573424397324552 y2[1] (numeric) = 0.01573424397285673 absolute error = 3.887931643298259e-13 relative error = 2.470999972994756e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 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] = 4.900000000002255 y1[1] (analytic) = 1.186512369424791 y1[1] (numeric) = 1.186512369422571 absolute error = 2.220668093855238e-12 relative error = 1.871592872589938e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.01754738737608819 y2[1] (numeric) = 0.01754738737567541 absolute error = 4.127774511086812e-13 relative error = 2.352358458052695e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 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] = 4.910112000002266 y1[1] (analytic) = 1.196437225337957 y1[1] (numeric) = 1.196437225335731 absolute error = 2.225553075163589e-12 relative error = 1.860150309628605e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.01948359702576885 y2[1] (numeric) = 0.0194835970253317 absolute error = 4.371503159461554e-13 relative error = 2.243683829879995e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 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] = 4.920096000002276 y1[1] (analytic) = 1.206216748094701 y1[1] (numeric) = 1.20621674809247 absolute error = 2.23088214568179e-12 relative error = 1.849486959292859e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.02149366235815997 y2[1] (numeric) = 0.02149366235769857 absolute error = 4.613982806933592e-13 relative error = 2.146671297821851e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 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] = 4.930080000002286 y1[1] (analytic) = 1.215975715283954 y1[1] (numeric) = 1.215975715281719 absolute error = 2.235100993175365e-12 relative error = 1.838113183579021e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.02360126464257206 y2[1] (numeric) = 0.02360126464208621 absolute error = 4.858509428107283e-13 relative error = 2.058580123432658e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 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] = 4.940064000002296 y1[1] (analytic) = 1.225713154137447 y1[1] (numeric) = 1.225713154135206 absolute error = 2.240430063693566e-12 relative error = 1.827858382796088e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.02580619379441484 y2[1] (numeric) = 0.02580619379390445 absolute error = 5.103903411018962e-13 relative error = 1.977782330737819e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 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] = 4.950048000002305 y1[1] (analytic) = 1.235428094032846 y1[1] (numeric) = 1.235428094030601 absolute error = 2.244870955792067e-12 relative error = 1.817079412905421e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.02810823002761176 y2[1] (numeric) = 0.02810823002707669 absolute error = 5.350685172711422e-13 relative error = 1.903600891075406e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 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] = 4.960032000002315 y1[1] (analytic) = 1.245119566590499 y1[1] (numeric) = 1.24511956658825 absolute error = 2.248423669470867e-12 relative error = 1.805789363368297e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.03050714387650788 y2[1] (numeric) = 0.03050714387594797 absolute error = 5.599132268940821e-13 relative error = 1.835351185809449e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 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] = 4.970016000002325 y1[1] (analytic) = 1.254786605769964 y1[1] (numeric) = 1.254786605767713 absolute error = 2.251532293939817e-12 relative error = 1.794354740149803e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.03300269621874297 y2[1] (numeric) = 0.03300269621815806 absolute error = 5.849071227359559e-13 relative error = 1.772301023101786e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 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] = 4.980000000002335 y1[1] (analytic) = 1.264428247966308 y1[1] (numeric) = 1.264428247964051 absolute error = 2.256195230643243e-12 relative error = 1.784360033297328e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.03559463829908693 y2[1] (numeric) = 0.03559463829847696 absolute error = 6.099704075168688e-13 relative error = 1.713658114437184e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 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] = 4.990112000002346 y1[1] (analytic) = 1.274166629673744 y1[1] (numeric) = 1.274166629671484 absolute error = 2.260414078136819e-12 relative error = 1.774033337159056e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.03831779720463779 y2[1] (numeric) = 0.03831779720400227 absolute error = 6.355263537649591e-13 relative error = 1.658567037063493e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 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] = 5.000096000002356 y1[1] (analytic) = 1.283754240888596 y1[1] (numeric) = 1.283754240886332 absolute error = 2.263522702605769e-12 relative error = 1.763205628079555e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.04110296132601565 y2[1] (numeric) = 0.04110296132535469 absolute error = 6.60964338816683e-13 relative error = 1.608069875000304e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 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] = 5.010080000002366 y1[1] (analytic) = 1.293313567643026 y1[1] (numeric) = 1.293313567640759 absolute error = 2.266853371679645e-12 relative error = 1.75274846595078e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.04398370775570992 y2[1] (numeric) = 0.04398370775502349 absolute error = 6.864370183379265e-13 relative error = 1.560662011830537e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 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] = 5.020064000002376 y1[1] (analytic) = 1.302843657068812 y1[1] (numeric) = 1.302843657066543 absolute error = 2.269517906938745e-12 relative error = 1.741972564877657e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.04695974934256442 y2[1] (numeric) = 0.04695974934185236 absolute error = 7.12055414631152e-13 relative error = 1.516310083848219e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 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] = 5.030048000002385 y1[1] (analytic) = 1.312343559212091 y1[1] (numeric) = 1.312343559209819 absolute error = 2.271738352987995e-12 relative error = 1.731054598501561e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.050030789436456 y2[1] (numeric) = 0.05003078943571825 absolute error = 7.377570776512243e-13 relative error = 1.474606109480339e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 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] = 5.040032000002395 y1[1] (analytic) = 1.321812327128051 y1[1] (numeric) = 1.321812327125777 absolute error = 2.274180843642171e-12 relative error = 1.720502068991416e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.05319652191786484 y2[1] (numeric) = 0.05319652191710125 absolute error = 7.635905796554709e-13 relative error = 1.435414482237111e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 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] = 5.050016000002405 y1[1] (analytic) = 1.331249016975323 y1[1] (numeric) = 1.331249016973048 absolute error = 2.275513111271721e-12 relative error = 1.709306885680804e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.05645663122838807 y2[1] (numeric) = 0.05645663122759848 absolute error = 7.895836762195074e-13 relative error = 1.398566756534494e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 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] = 5.060000000002415 y1[1] (analytic) = 1.340652688110061 y1[1] (numeric) = 1.340652688107783 absolute error = 2.277733557320971e-12 relative error = 1.69897362495273e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.05981079240219433 y2[1] (numeric) = 0.05981079240137865 absolute error = 8.156808561921025e-13 relative error = 1.363768683596603e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 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] = 5.070112000002426 y1[1] (analytic) = 1.350142303202092 y1[1] (numeric) = 1.350142303199814 absolute error = 2.278177646530821e-12 relative error = 1.687361133065555e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.06330348163968613 y2[1] (numeric) = 0.06330348163884394 absolute error = 8.421874309050281e-13 relative error = 1.330396700293093e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 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] = 5.080096000002436 y1[1] (analytic) = 1.359476674882009 y1[1] (numeric) = 1.35947667487973 absolute error = 2.279065824950521e-12 relative error = 1.676428781058951e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.06684592900433939 y2[1] (numeric) = 0.06684592900347096 absolute error = 8.684303276496053e-13 relative error = 1.29915215568809e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 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] = 5.090080000002446 y1[1] (analytic) = 1.368775214132597 y1[1] (numeric) = 1.368775214130318 absolute error = 2.279731958765296e-12 relative error = 1.665526914300519e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.07048139263301623 y2[1] (numeric) = 0.07048139263212137 absolute error = 8.94853635635684e-13 relative error = 1.269631036229695e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 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] = 5.100064000002456 y1[1] (analytic) = 1.378036994080784 y1[1] (numeric) = 1.378036994078505 absolute error = 2.279287869555446e-12 relative error = 1.654010653811104e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.07420951014478161 y2[1] (numeric) = 0.07420951014386028 absolute error = 9.21332454772994e-13 relative error = 1.241528818847461e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 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] = 5.110048000002466 y1[1] (analytic) = 1.387261091517642 y1[1] (numeric) = 1.387261091515362 absolute error = 2.279065824950521e-12 relative error = 1.642852840669855e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.0780299099230144 y2[1] (numeric) = 0.07802990992206656 absolute error = 9.478390294859196e-13 relative error = 1.214712448625243e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 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] = 5.120032000002475 y1[1] (analytic) = 1.396446586990414 y1[1] (numeric) = 1.396446586988136 absolute error = 2.277955601925896e-12 relative error = 1.631251508756442e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.08194221115245026 y2[1] (numeric) = 0.08194221115147575 absolute error = 9.74512137652539e-13 relative error = 1.189267563014009e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 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] = 5.130016000002485 y1[1] (analytic) = 1.405592564894166 y1[1] (numeric) = 1.405592564891889 absolute error = 2.276845378901271e-12 relative error = 1.619847341091126e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.08594602385714023 y2[1] (numeric) = 0.08594602385613906 absolute error = 1.001171368031351e-12 relative error = 1.164883869084509e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 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] = 5.140000000002495 y1[1] (analytic) = 1.414698113563053 y1[1] (numeric) = 1.414698113560776 absolute error = 2.276401289691421e-12 relative error = 1.60910746106679e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.09004094893932435 y2[1] (numeric) = 0.09004094893829633 absolute error = 1.028024887439472e-12 relative error = 1.141730401055884e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 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] = 5.150112000002506 y1[1] (analytic) = 1.423878260887401 y1[1] (numeric) = 1.423878260885126 absolute error = 2.275513111271721e-12 relative error = 1.598109314383068e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.09428082721680664 y2[1] (numeric) = 0.09428082721575144 absolute error = 1.055197595967172e-12 relative error = 1.119206976770216e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 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] = 5.160096000002516 y1[1] (analytic) = 1.432899684908156 y1[1] (numeric) = 1.432899684905883 absolute error = 2.273292665222471e-12 relative error = 1.586498126258001e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.09855789825057604 y2[1] (numeric) = 0.09855789824949383 absolute error = 1.082203771041179e-12 relative error = 1.098038604972843e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 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] = 5.170080000002526 y1[1] (analytic) = 1.441877957735943 y1[1] (numeric) = 1.441877957733672 absolute error = 2.27107221917322e-12 relative error = 1.575079365759423e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.102924824517414 y2[1] (numeric) = 0.1029248245163048 absolute error = 1.109237701690802e-12 relative error = 1.077716388530862e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 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] = 5.180064000002536 y1[1] (analytic) = 1.45081218442166 y1[1] (numeric) = 1.450812184419392 absolute error = 2.26840768391412e-12 relative error = 1.563543309238459e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.1073811707246083 y2[1] (numeric) = 0.107381170723472 absolute error = 1.136313265703848e-12 relative error = 1.058205324114092e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 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] = 5.190048000002546 y1[1] (analytic) = 1.459701474406704 y1[1] (numeric) = 1.459701474404438 absolute error = 2.265743148655019e-12 relative error = 1.55219624586317e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.111926492666118 y2[1] (numeric) = 0.1119264926649545 absolute error = 1.163472096443741e-12 relative error = 1.039496609542151e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 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] = 5.200032000002555 y1[1] (analytic) = 1.468544941611732 y1[1] (numeric) = 1.468544941609469 absolute error = 2.263300658000844e-12 relative error = 1.541185832227147e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.1165603372668519 y2[1] (numeric) = 0.1165603372656612 absolute error = 1.190644804971441e-12 relative error = 1.021483664932775e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 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] = 5.210016000002565 y1[1] (analytic) = 1.477341704524993 y1[1] (numeric) = 1.477341704522734 absolute error = 2.259525899717119e-12 relative error = 1.529453810717149e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.1212822426278309 y2[1] (numeric) = 0.121282242626613 absolute error = 1.217984046952836e-12 relative error = 1.004255875025634e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 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] = 5.220000000002575 y1[1] (analytic) = 1.486090886290191 y1[1] (numeric) = 1.486090886287934 absolute error = 2.256861364458018e-12 relative error = 1.518656352231554e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.1260917380722296 y2[1] (numeric) = 0.1260917380709843 absolute error = 1.245309411146422e-12 relative error = 9.876217349253026e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.230112000002586 y1[1] (analytic) = 1.494902844232199 y1[1] (numeric) = 1.494902844229947 absolute error = 2.251754338544742e-12 relative error = 1.506288082354457e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.1310516846377574 y2[1] (numeric) = 0.1310516846364841 absolute error = 1.273259275791361e-12 relative error = 9.71570323045295e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.240096000002596 y1[1] (analytic) = 1.503553614266619 y1[1] (numeric) = 1.50355361426437 absolute error = 2.248423669470867e-12 relative error = 1.495406381346481e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.1360360206819816 y2[1] (numeric) = 0.1360360206806811 absolute error = 1.300543006621524e-12 relative error = 9.560284107853096e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.250080000002606 y1[1] (analytic) = 1.512154190364806 y1[1] (numeric) = 1.512154190362562 absolute error = 2.243760732767441e-12 relative error = 1.483817422233996e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.1411064761614684 y2[1] (numeric) = 0.1411064761601403 absolute error = 1.328104293207844e-12 relative error = 9.412071857623963e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.260064000002616 y1[1] (analytic) = 1.520703715226255 y1[1] (numeric) = 1.520703715224015 absolute error = 2.239541885273866e-12 relative error = 1.472701002075648e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.146262545656116 y2[1] (numeric) = 0.1462625456547602 absolute error = 1.355721090945394e-12 relative error = 9.269092677580542e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.270048000002626 y1[1] (analytic) = 1.529201336639217 y1[1] (numeric) = 1.529201336636983 absolute error = 2.234656903965515e-12 relative error = 1.461322881705495e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.1515037152118662 y2[1] (numeric) = 0.1515037152104829 absolute error = 1.383282377531714e-12 relative error = 9.130352847105435e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.280032000002636 y1[1] (analytic) = 1.537646207565652 y1[1] (numeric) = 1.537646207563423 absolute error = 2.229105788842389e-12 relative error = 1.449687046262373e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.156829462391936 y2[1] (numeric) = 0.1568294623905251 absolute error = 1.410871419693649e-12 relative error = 8.996214092526244e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.290016000002645 y1[1] (analytic) = 1.546037486225656 y1[1] (numeric) = 1.546037486223432 absolute error = 2.223776718324189e-12 relative error = 1.438371797667791e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.1622392563288926 y2[1] (numeric) = 0.162239256327454 absolute error = 1.438543728582431e-12 relative error = 8.86680425646309e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.300000000002655 y1[1] (analytic) = 1.554374336181371 y1[1] (numeric) = 1.554374336179154 absolute error = 2.216893335571513e-12 relative error = 1.426228730086828e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.167732557777571 y2[1] (numeric) = 0.1677325577761049 absolute error = 1.466160526319982e-12 relative error = 8.741061042330536e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.310112000002666 y1[1] (analytic) = 1.562761738281944 y1[1] (numeric) = 1.562761738279733 absolute error = 2.210676086633612e-12 relative error = 1.414595732977163e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.1733808458994643 y2[1] (numeric) = 0.1733808458979701 absolute error = 1.494276924418614e-12 relative error = 8.618465994133383e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.320096000002676 y1[1] (analytic) = 1.57098651892347 y1[1] (numeric) = 1.570986518921266 absolute error = 2.204458837695711e-12 relative error = 1.403232179997529e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.1790405642130317 y2[1] (numeric) = 0.1790405642115097 absolute error = 1.522004744458627e-12 relative error = 8.500893365414483e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.330080000002686 y1[1] (analytic) = 1.579154383955401 y1[1] (numeric) = 1.579154383953203 absolute error = 2.197575454943035e-12 relative error = 1.391615333669048e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.1847821152935615 y2[1] (numeric) = 0.1847821152920118 absolute error = 1.549704808923025e-12 relative error = 8.386660183324692e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.340064000002696 y1[1] (analytic) = 1.587264519209621 y1[1] (numeric) = 1.58726451920743 absolute error = 2.190470027585434e-12 relative error = 1.380028345039918e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.1906049268265261 y2[1] (numeric) = 0.1906049268249488 absolute error = 1.577266095509344e-12 relative error = 8.275054174989141e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.350048000002706 y1[1] (analytic) = 1.595316116272487 y1[1] (numeric) = 1.595316116270303 absolute error = 2.183586644832758e-12 relative error = 1.368748564977069e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.1965084183974027 y2[1] (numeric) = 0.1965084183957977 absolute error = 1.605021671124973e-12 relative error = 8.16769929865858e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.360032000002716 y1[1] (analytic) = 1.603308372565409 y1[1] (numeric) = 1.603308372563234 absolute error = 2.175815083660382e-12 relative error = 1.35707835179512e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.2024920015495284 y2[1] (numeric) = 0.2024920015478956 absolute error = 1.632777246740602e-12 relative error = 8.06341600777369e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.370016000002725 y1[1] (analytic) = 1.611240491424853 y1[1] (numeric) = 1.611240491422686 absolute error = 2.166933299463381e-12 relative error = 1.344885081399064e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.2085550798427572 y2[1] (numeric) = 0.2085550798410967 absolute error = 1.660505066780615e-12 relative error = 7.961949754628726e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.380000000002735 y1[1] (analytic) = 1.619111682181747 y1[1] (numeric) = 1.619111682179588 absolute error = 2.158495604476229e-12 relative error = 1.333135711532675e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.2146970489129131 y2[1] (numeric) = 0.2146970489112248 absolute error = 1.688260642396244e-12 relative error = 7.863455277771649e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.390112000002746 y1[1] (analytic) = 1.627020877690333 y1[1] (numeric) = 1.627020877688184 absolute error = 2.148725641859528e-12 relative error = 1.320650319441377e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.2209975488225695 y2[1] (numeric) = 0.2209975488208531 absolute error = 1.716432551646108e-12 relative error = 7.766749272971194e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.400096000002756 y1[1] (analytic) = 1.63476705841079 y1[1] (numeric) = 1.634767058408651 absolute error = 2.139399768452677e-12 relative error = 1.308687838701898e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.2272964465226575 y2[1] (numeric) = 0.2272964465209134 absolute error = 1.744077104959274e-12 relative error = 7.673138457030036e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.410080000002766 y1[1] (analytic) = 1.642449965913959 y1[1] (numeric) = 1.642449965911828 absolute error = 2.130517984255675e-12 relative error = 1.29715853053102e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.233672366870962 y2[1] (numeric) = 0.2336723668691902 absolute error = 1.771832680574903e-12 relative error = 7.582551177535425e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.420064000002776 y1[1] (analytic) = 1.650068834372012 y1[1] (numeric) = 1.650068834369892 absolute error = 2.120525977034049e-12 relative error = 1.285113646692857e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.2401246743193899 y2[1] (numeric) = 0.2401246743175904 absolute error = 1.799449478312454e-12 relative error = 7.493813300997987e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.430048000002786 y1[1] (analytic) = 1.657622904340502 y1[1] (numeric) = 1.657622904338391 absolute error = 2.110089880602573e-12 relative error = 1.272961344270329e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.2466527257056256 y2[1] (numeric) = 0.2466527257037984 absolute error = 1.827177298352467e-12 relative error = 7.407894208852821e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.440032000002796 y1[1] (analytic) = 1.665111422834053 y1[1] (numeric) = 1.665111422831953 absolute error = 2.099653784171096e-12 relative error = 1.260968939001958e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.2532558703172407 y2[1] (numeric) = 0.2532558703153859 absolute error = 1.854794096090018e-12 relative error = 7.323795076365304e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.450016000002806 y1[1] (analytic) = 1.672533643401426 y1[1] (numeric) = 1.672533643399338 absolute error = 2.088107464714994e-12 relative error = 1.248469633452883e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.2599334499565578 y2[1] (numeric) = 0.2599334499546754 absolute error = 1.882327627100722e-12 relative error = 7.241575208636334e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.460000000002815 y1[1] (analytic) = 1.679888826199922 y1[1] (numeric) = 1.679888826197846 absolute error = 2.075895011444118e-12 relative error = 1.235733567048006e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.2666847990062577 y2[1] (numeric) = 0.2666847990043477 absolute error = 1.910027691565119e-12 relative error = 7.16211684611353e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.470112000002826 y1[1] (analytic) = 1.687269223256227 y1[1] (numeric) = 1.687269223254163 absolute error = 2.064126647383091e-12 relative error = 1.223353463058832e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.2735972090053743 y2[1] (numeric) = 0.2735972090034363 absolute error = 1.938005311785673e-12 relative error = 7.083425005799692e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.480096000002836 y1[1] (analytic) = 1.694487254933662 y1[1] (numeric) = 1.694487254931609 absolute error = 2.052358283322064e-12 relative error = 1.211197238188972e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.2804949946423535 y2[1] (numeric) = 0.2804949946403881 absolute error = 1.965372309342683e-12 relative error = 7.006799931844205e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.490080000002846 y1[1] (analytic) = 1.701636060518778 y1[1] (numeric) = 1.701636060516739 absolute error = 2.039257651631488e-12 relative error = 1.198409988449457e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.2874645001267028 y2[1] (numeric) = 0.28746450012471 absolute error = 1.992739306899693e-12 relative error = 6.932123117885423e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.500064000002856 y1[1] (analytic) = 1.708714927422724 y1[1] (numeric) = 1.708714927420699 absolute error = 2.025712930731061e-12 relative error = 1.185518367178116e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.2945050307421021 y2[1] (numeric) = 0.2945050307400822 absolute error = 2.01993977100301e-12 relative error = 6.858761515594856e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.510048000002866 y1[1] (analytic) = 1.715723150028097 y1[1] (numeric) = 1.715723150026084 absolute error = 2.013056388250334e-12 relative error = 1.173299076962019e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.301615884692487 y2[1] (numeric) = 0.3016158846904397 absolute error = 2.04730676856002e-12 relative error = 6.787794915534223e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.520032000002876 y1[1] (analytic) = 1.722660029759276 y1[1] (numeric) = 1.722660029757276 absolute error = 2.000177801164682e-12 relative error = 1.161098398181437e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.3087963531720033 y2[1] (numeric) = 0.3087963531699288 absolute error = 2.074451721512105e-12 relative error = 6.71786340804553e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.530016000002886 y1[1] (analytic) = 1.729524875152057 y1[1] (numeric) = 1.729524875150072 absolute error = 1.985300812634705e-12 relative error = 1.147887978460073e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.3160457204356599 y2[1] (numeric) = 0.3160457204335584 absolute error = 2.101541163312959e-12 relative error = 6.649484639171967e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.540000000002895 y1[1] (analytic) = 1.736317001922578 y1[1] (numeric) = 1.736317001920607 absolute error = 1.971312002524428e-12 relative error = 1.135341069828635e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.3233632638706752 y2[1] (numeric) = 0.3233632638685465 absolute error = 2.128686116265044e-12 relative error = 6.582955932546449e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.550112000002906 y1[1] (analytic) = 1.743121391171825 y1[1] (numeric) = 1.743121391169869 absolute error = 1.956657058599376e-12 relative error = 1.1225018914397e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.3308433681245839 y2[1] (numeric) = 0.3308433681224278 absolute error = 2.156164136124517e-12 relative error = 6.517175025592719e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.560096000002916 y1[1] (analytic) = 1.749765103035794 y1[1] (numeric) = 1.749765103033851 absolute error = 1.942668248489099e-12 relative error = 1.110245166690445e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.338295919409797 y2[1] (numeric) = 0.3382959194076141 absolute error = 2.182920511017983e-12 relative error = 6.452695364538784e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.570080000002926 y1[1] (analytic) = 1.756334078743164 y1[1] (numeric) = 1.756334078741237 absolute error = 1.927569215354197e-12 relative error = 1.097495766143517e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.3458144289792621 y2[1] (numeric) = 0.3458144289770522 absolute error = 2.209843419365143e-12 relative error = 6.39025799440446e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.580064000002936 y1[1] (analytic) = 1.762827663502196 y1[1] (numeric) = 1.762827663500284 absolute error = 1.912026093009445e-12 relative error = 1.084635856695621e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.3533981473922458 y2[1] (numeric) = 0.3533981473900094 absolute error = 2.236433260804915e-12 relative error = 6.328367246143596e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.590048000002946 y1[1] (analytic) = 1.769245210036076 y1[1] (numeric) = 1.76924521003418 absolute error = 1.896038881454842e-12 relative error = 1.07166540324627e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.3610463187080351 y2[1] (numeric) = 0.3610463187057719 absolute error = 2.26313412454715e-12 relative error = 6.268265336828608e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.600032000002956 y1[1] (analytic) = 1.775586078647434 y1[1] (numeric) = 1.775586078645554 absolute error = 1.880273714505165e-12 relative error = 1.058959482233313e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.3687581805612876 y2[1] (numeric) = 0.3687581805589978 absolute error = 2.289779477138154e-12 relative error = 6.209433709790182e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.610016000002966 y1[1] (analytic) = 1.781849637282116 y1[1] (numeric) = 1.781849637280252 absolute error = 1.864286502950563e-12 relative error = 1.046264771136463e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.3765329642380252 y2[1] (numeric) = 0.3765329642357089 absolute error = 2.316258296275464e-12 relative error = 6.151541873532332e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.620000000002976 y1[1] (analytic) = 1.788035261592179 y1[1] (numeric) = 1.788035261590332 absolute error = 1.84696702376641e-12 relative error = 1.032958948539837e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.3843698947522584 y2[1] (numeric) = 0.3843698947499157 absolute error = 2.342626093110312e-12 relative error = 6.094717939916255e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.630112000002986 y1[1] (analytic) = 1.794220118163866 y1[1] (numeric) = 1.794220118162037 absolute error = 1.829647544582258e-12 relative error = 1.019745306643115e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.3923698461203774 y2[1] (numeric) = 0.3923698461180081 absolute error = 2.369326956852547e-12 relative error = 6.038504182417849e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.640096000002996 y1[1] (analytic) = 1.800247013130805 y1[1] (numeric) = 1.800247013128994 absolute error = 1.811439886978405e-12 relative error = 1.00621741003649e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 0.4003294921582145 y2[1] (numeric) = 0.4003294921558191 absolute error = 2.395306175628775e-12 relative error = 5.983336782697301e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.650080000003006 y1[1] (analytic) = 1.806194139933224 y1[1] (numeric) = 1.80619413993143 absolute error = 1.793898363189328e-12 relative error = 9.931924390229997e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.4083489130092557 y2[1] (numeric) = 0.4083489130068345 absolute error = 2.421174372102541e-12 relative error = 5.929180401779746e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.660064000003016 y1[1] (analytic) = 1.812060905764925 y1[1] (numeric) = 1.812060905763149 absolute error = 1.77635683940025e-12 relative error = 9.802964313996924e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.4164273093022179 y2[1] (numeric) = 0.4164273092997711 absolute error = 2.446876035122614e-12 relative error = 5.875877927465171e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.670048000003026 y1[1] (analytic) = 1.817846725830047 y1[1] (numeric) = 1.81784672582829 absolute error = 1.756816914166848e-12 relative error = 9.664274161313946e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.4245638757871797 y2[1] (numeric) = 0.424563875784707 absolute error = 2.472688720445149e-12 relative error = 5.824067617294479e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.680032000003036 y1[1] (analytic) = 1.823551023401354 y1[1] (numeric) = 1.823551023399616 absolute error = 1.73749903353837e-12 relative error = 9.52810758372707e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.4327578014158477 y2[1] (numeric) = 0.4327578014133495 absolute error = 2.498279361162759e-12 relative error = 5.772927381064356e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.690016000003046 y1[1] (analytic) = 1.829173229877727 y1[1] (numeric) = 1.82917322987601 absolute error = 1.717737063700042e-12 relative error = 9.390783965359397e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.4410082694224027 y2[1] (numeric) = 0.441008269419879 absolute error = 2.523703468426675e-12 relative error = 5.722576294843676e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.700000000003056 y1[1] (analytic) = 1.834712784840842 y1[1] (numeric) = 1.834712784839145 absolute error = 1.697308960046939e-12 relative error = 9.25108809439172e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.4493144574049127 y2[1] (numeric) = 0.4493144574023636 absolute error = 2.549072064539359e-12 relative error = 5.673247371700282e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.710112000003066 y1[1] (analytic) = 1.840238546759385 y1[1] (numeric) = 1.840238546757708 absolute error = 1.677102900998761e-12 relative error = 9.113508158777016e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.4577830834991617 y2[1] (numeric) = 0.4577830834965873 absolute error = 2.574496171803276e-12 relative error = 5.623834223240776e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.720096000003076 y1[1] (analytic) = 1.845610073268919 y1[1] (numeric) = 1.845610073267263 absolute error = 1.655786618925958e-12 relative error = 8.971486680245803e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.4661989097181103 y2[1] (numeric) = 0.4661989097155106 absolute error = 2.599642723311035e-12 relative error = 5.576252258682723e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.730080000003086 y1[1] (analytic) = 1.850897309850046 y1[1] (numeric) = 1.850897309848411 absolute error = 1.635136470667931e-12 relative error = 8.834290600381304e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.4746679449243986 y2[1] (numeric) = 0.4746679449217739 absolute error = 2.624678252516333e-12 relative error = 5.529503899687962e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.740064000003096 y1[1] (analytic) = 1.856099729474049 y1[1] (numeric) = 1.856099729472436 absolute error = 1.613598143990203e-12 relative error = 8.693488385171184e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.4831893449294418 y2[1] (numeric) = 0.4831893449267924 absolute error = 2.649380714814242e-12 relative error = 5.483110798316798e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.750048000003106 y1[1] (analytic) = 1.861216813566716 y1[1] (numeric) = 1.861216813565125 absolute error = 1.591171638892774e-12 relative error = 8.549093406498706e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.4917622603249616 y2[1] (numeric) = 0.4917622603222876 absolute error = 2.67397215480969e-12 relative error = 5.437530226582864e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.760032000003116 y1[1] (analytic) = 1.866248052060031 y1[1] (numeric) = 1.866248052058461 absolute error = 1.569855356819971e-12 relative error = 8.411825829300179e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.5003858365676552 y2[1] (numeric) = 0.5003858365649567 absolute error = 2.698508083653905e-12 relative error = 5.392854646254662e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.770016000003126 y1[1] (analytic) = 1.871192943443019 y1[1] (numeric) = 1.871192943441472 absolute error = 1.547206807117618e-12 relative error = 8.268558368282097e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.5090592140643756 y2[1] (numeric) = 0.509059214061653 absolute error = 2.722599923288271e-12 relative error = 5.348297109781755e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.780000000003136 y1[1] (analytic) = 1.876050994811736 y1[1] (numeric) = 1.876050994810211 absolute error = 1.524558257415265e-12 relative error = 8.12642226480766e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.5177815282578151 y2[1] (numeric) = 0.5177815282550686 absolute error = 2.746469718317712e-12 relative error = 5.304302236425443e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.790112000003146 y1[1] (analytic) = 1.880882316058099 y1[1] (numeric) = 1.880882316056598 absolute error = 1.501021529293212e-12 relative error = 7.980411727401484e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.5266646587712687 y2[1] (numeric) = 0.5266646587684979 absolute error = 2.770783602557003e-12 relative error = 5.261001581198481e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.800096000003156 y1[1] (analytic) = 1.885564114671466 y1[1] (numeric) = 1.885564114669989 absolute error = 1.477262756566233e-12 relative error = 7.834593080509629e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.53548283260342 y2[1] (numeric) = 0.5354828326006257 absolute error = 2.794320330679056e-12 relative error = 5.218319170184373e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 5.810080000003166 y1[1] (analytic) = 1.890157640760434 y1[1] (numeric) = 1.89015764075898 absolute error = 1.45417011765403e-12 relative error = 7.693380098545637e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.5443473092411089 y2[1] (numeric) = 0.544347309238291 absolute error = 2.81785705880111e-12 relative error = 5.176579384087651e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 5.820064000003176 y1[1] (analytic) = 1.89466243644495 y1[1] (numeric) = 1.89466243644352 absolute error = 1.430411344927052e-12 relative error = 7.549689683039285e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.5532572050783748 y2[1] (numeric) = 0.5532572050755339 absolute error = 2.840949697713313e-12 relative error = 5.134952914550587e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 5.830048000003186 y1[1] (analytic) = 1.899078052689557 y1[1] (numeric) = 1.899078052688151 absolute error = 1.406208482990223e-12 relative error = 7.404690296950614e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.5622116319818973 y2[1] (numeric) = 0.5622116319790332 absolute error = 2.864042336625516e-12 relative error = 5.094242405709841e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 5.840032000003196 y1[1] (analytic) = 1.903404049348154 y1[1] (numeric) = 1.903404049346771 absolute error = 1.382449710263245e-12 relative error = 7.263038610938563e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.5712096973795247 y2[1] (numeric) = 0.5712096973766378 absolute error = 2.886801908630332e-12 relative error = 5.053839110004247e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 5.850016000003206 y1[1] (analytic) = 1.907639995207867 y1[1] (numeric) = 1.90763999520651 absolute error = 1.357358669906716e-12 relative error = 7.115381693173251e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.5802505043492449 y2[1] (numeric) = 0.5802505043463355 absolute error = 2.909339436030223e-12 relative error = 5.013936936242853e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 5.860000000003216 y1[1] (analytic) = 1.911785468032037 y1[1] (numeric) = 1.911785468030704 absolute error = 1.332933763364963e-12 relative error = 6.972193196640755e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.5893331517085907 y2[1] (numeric) = 0.5893331517056586 absolute error = 2.932099008035038e-12 relative error = 4.975282655547744e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 5.870112000003226 y1[1] (analytic) = 1.915891444637636 y1[1] (numeric) = 1.91589144463633 absolute error = 1.306510455378884e-12 relative error = 6.819334461958475e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.5985739649205803 y2[1] (numeric) = 0.5985739649176253 absolute error = 2.955080624644779e-12 relative error = 4.936867952545954e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 5.880096000003236 y1[1] (analytic) = 1.919853567820842 y1[1] (numeric) = 1.919853567819562 absolute error = 1.280309191997731e-12 relative error = 6.668785648329234e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.6077380801463547 y2[1] (numeric) = 0.6077380801433775 absolute error = 2.97717406283482e-12 relative error = 4.898778207411095e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 5.890080000003246 y1[1] (analytic) = 1.923724000526573 y1[1] (numeric) = 1.923724000525318 absolute error = 1.254996107036277e-12 relative error = 6.523784631749421e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.6169412958159224 y2[1] (numeric) = 0.6169412958129229 absolute error = 2.999489545629785e-12 relative error = 4.861871892791477e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 5.900064000003256 y1[1] (analytic) = 1.92750235695231 y1[1] (numeric) = 1.927502356951081 absolute error = 1.228572799050198e-12 relative error = 6.373910748377858e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.6261826945580098 y2[1] (numeric) = 0.6261826945549883 absolute error = 3.021471961517364e-12 relative error = 4.825224311971868e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 5.910048000003266 y1[1] (analytic) = 1.931188260473646 y1[1] (numeric) = 1.931188260472445 absolute error = 1.201483357249344e-12 relative error = 6.221471939533574e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.6354613551952764 y2[1] (numeric) = 0.6354613551922329 absolute error = 3.043454377404942e-12 relative error = 4.789361858943715e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 5.920032000003276 y1[1] (analytic) = 1.934781343681828 y1[1] (numeric) = 1.934781343680653 absolute error = 1.175282093868191e-12 relative error = 6.074495692788033e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.6447763528361374 y2[1] (numeric) = 0.6447763528330726 absolute error = 3.064881681780207e-12 relative error = 4.7534027392582e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 5.930016000003286 y1[1] (analytic) = 1.938281248420375 y1[1] (numeric) = 1.938281248419227 absolute error = 1.148192652067337e-12 relative error = 5.923767012672025e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.6541267589669565 y2[1] (numeric) = 0.6541267589638708 absolute error = 3.085642852340698e-12 relative error = 4.717194045407597e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 5.940000000003296 y1[1] (analytic) = 1.941687625820786 y1[1] (numeric) = 1.941687625819665 absolute error = 1.120881165661558e-12 relative error = 5.772716222506395e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.6635116415445987 y2[1] (numeric) = 0.6635116415414927 absolute error = 3.1060709559938e-12 relative error = 4.681260676546882e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 5.950112000003306 y1[1] (analytic) = 1.945041993547423 y1[1] (numeric) = 1.945041993546331 absolute error = 1.092681500836079e-12 relative error = 5.617778456511447e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.673051027785815 y2[1] (numeric) = 0.6730510277826881 absolute error = 3.126943148856753e-12 relative error = 4.645922849480946e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 5.960096000003316 y1[1] (analytic) = 1.948259097233257 y1[1] (numeric) = 1.948259097232194 absolute error = 1.06314956838105e-12 relative error = 5.456920847390573e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.682502465341275 y2[1] (numeric) = 0.6825024653381282 absolute error = 3.146816140997544e-12 relative error = 4.610702965628155e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 5.970080000003326 y1[1] (analytic) = 1.951381678994692 y1[1] (numeric) = 1.951381678993657 absolute error = 1.034727858950646e-12 relative error = 5.302539580486963e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.6919855508693782 y2[1] (numeric) = 0.6919855508662111 absolute error = 3.167133222348184e-12 relative error = 4.576877679554359e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 5.980064000003336 y1[1] (analytic) = 1.954409427574565 y1[1] (numeric) = 1.954409427573559 absolute error = 1.005862060310392e-12 relative error = 5.146629186898026e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.7014993391015831 y2[1] (numeric) = 0.7014993390983967 absolute error = 3.186451102976662e-12 relative error = 4.542343699222268e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 5.990048000003346 y1[1] (analytic) = 1.957342041168628 y1[1] (numeric) = 1.957342041167651 absolute error = 9.776623954849128e-13 relative error = 4.994846965537004e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.7110428817089214 y2[1] (numeric) = 0.7110428817057152 absolute error = 3.20621307281499e-12 relative error = 4.50916977764994e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.000032000003356 y1[1] (analytic) = 1.960179227455637 y1[1] (numeric) = 1.960179227454688 absolute error = 9.490186414495838e-13 relative error = 4.84148912587669e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.7206152273965244 y2[1] (numeric) = 0.7206152273932993 absolute error = 3.225086864233617e-12 relative error = 4.475463106553238e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.010016000003366 y1[1] (analytic) = 1.962920703626485 y1[1] (numeric) = 1.962920703625565 absolute error = 9.201528428093297e-13 relative error = 4.687672003812239e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.7302154219984498 y2[1] (numeric) = 0.7302154219952055 absolute error = 3.244293722559632e-12 relative error = 4.442926874484061e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.020000000003376 y1[1] (analytic) = 1.965566196412396 y1[1] (numeric) = 1.965566196411505 absolute error = 8.908429549592256e-13 relative error = 4.532246009242609e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.7398425085727909 y2[1] (numeric) = 0.7398425085695278 absolute error = 3.263056491675798e-12 relative error = 4.410474464316016e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.030112000003386 y1[1] (analytic) = 1.968147498753753 y1[1] (numeric) = 1.968147498752893 absolute error = 8.595346656647962e-13 relative error = 4.367226878112848e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.7496194483254495 y2[1] (numeric) = 0.749619448322168 absolute error = 3.281486193884575e-12 relative error = 4.377536096768808e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.040096000003396 y1[1] (analytic) = 1.97059900445733 y1[1] (numeric) = 1.9705990044565 absolute error = 8.29780688604842e-13 relative error = 4.210804363180675e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.7592977512642654 y2[1] (numeric) = 0.7592977512609657 absolute error = 3.299693851488428e-12 relative error = 4.345717929487197e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.050080000003406 y1[1] (analytic) = 1.972953761407335 y1[1] (numeric) = 1.972953761406536 absolute error = 7.989164885202626e-13 relative error = 4.049342179972755e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.7690000472655512 y2[1] (numeric) = 0.7690000472622336 absolute error = 3.317568442184893e-12 relative error = 4.31413294964242e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.060064000003416 y1[1] (analytic) = 1.975211534882943 y1[1] (numeric) = 1.975211534882173 absolute error = 7.693845560652335e-13 relative error = 3.895200804965072e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.7787253692099911 y2[1] (numeric) = 0.7787253692066562 absolute error = 3.334887921369045e-12 relative error = 4.282495541081774e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.070048000003426 y1[1] (analytic) = 1.977372099830584 y1[1] (numeric) = 1.977372099829846 absolute error = 7.380762667708041e-13 relative error = 3.732611918788783e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.7884727476830572 y2[1] (numeric) = 0.7884727476797047 absolute error = 3.352540467460585e-12 relative error = 4.251942096048458e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.080032000003436 y1[1] (analytic) = 1.97943524088638 y1[1] (numeric) = 1.979435240885673 absolute error = 7.069900220812997e-13 relative error = 3.571675432860909e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.7982412110716385 y2[1] (numeric) = 0.798241211068269 absolute error = 3.36952687973735e-12 relative error = 4.221188824883849e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.090016000003446 y1[1] (analytic) = 1.981400752397611 y1[1] (numeric) = 1.981400752396935 absolute error = 6.759037773917953e-13 relative error = 3.411242155701778e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.8080297856608921 y2[1] (numeric) = 0.8080297856575056 absolute error = 3.386513292014115e-12 relative error = 4.191074824357207e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.100000000003456 y1[1] (analytic) = 1.983268438443214 y1[1] (numeric) = 1.983268438442571 absolute error = 6.434852650727407e-13 relative error = 3.244569684060776e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.8178374957313022 y2[1] (numeric) = 0.8178374957278992 absolute error = 3.402944592778567e-12 relative error = 4.160905571755044e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.110112000003466 y1[1] (analytic) = 1.985060163873272 y1[1] (numeric) = 1.98506016387266 absolute error = 6.121769757783113e-13 relative error = 3.083921519959499e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.8277894499458218 y2[1] (numeric) = 0.8277894499424023 absolute error = 3.419486915845482e-12 relative error = 4.130865543248087e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.120096000003476 y1[1] (analytic) = 1.986730390324111 y1[1] (numeric) = 1.986730390323532 absolute error = 5.797584634592567e-13 relative error = 2.918153697566765e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.8376327101574124 y2[1] (numeric) = 0.8376327101539771 absolute error = 3.435252082795159e-12 relative error = 4.10114366492396e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.130080000003486 y1[1] (analytic) = 1.988302260054063 y1[1] (numeric) = 1.988302260053516 absolute error = 5.46451772720502e-13 relative error = 2.748333508938645e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.8474921550475787 y2[1] (numeric) = 0.8474921550441278 absolute error = 3.450906227442374e-12 relative error = 4.071903446998442e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.140064000003496 y1[1] (analytic) = 1.98977561638005 y1[1] (numeric) = 1.989775616379538 absolute error = 5.127009927718973e-13 relative error = 2.576677433130081e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.8573668018324938 y2[1] (numeric) = 0.857366801829028 absolute error = 3.465783215972351e-12 relative error = 4.042357610027302e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.150048000003506 y1[1] (analytic) = 1.991150312438759 y1[1] (numeric) = 1.99115031243828 absolute error = 4.791722574282176e-13 relative error = 2.406509716694004e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.8672556662130148 y2[1] (numeric) = 0.8672556662095343 absolute error = 3.480438159897403e-12 relative error = 4.013162779431804e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.160032000003516 y1[1] (analytic) = 1.992426211201271 y1[1] (numeric) = 1.992426211200826 absolute error = 4.454214774796128e-13 relative error = 2.235573267283308e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.8771577624727965 y2[1] (numeric) = 0.8771577624693014 absolute error = 3.495093103822455e-12 relative error = 3.984566121799383e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.170016000003526 y1[1] (analytic) = 1.993603185486728 y1[1] (numeric) = 1.993603185486317 absolute error = 4.11448652926083e-13 relative error = 2.063844279149413e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.8870721035765481 y2[1] (numeric) = 0.8870721035730386 absolute error = 3.509526003142582e-12 relative error = 3.95630297581524e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.180000000003536 y1[1] (analytic) = 1.994681117975007 y1[1] (numeric) = 1.994681117974629 absolute error = 3.779199175824033e-13 relative error = 1.894638266622116e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.8969977012684192 y2[1] (numeric) = 0.8969977012648961 absolute error = 3.523070724043009e-12 relative error = 3.927625142250793e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.190112000003546 y1[1] (analytic) = 1.995671805565465 y1[1] (numeric) = 1.995671805565123 absolute error = 3.423927807943983e-13 relative error = 1.71567679535054e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.9070610113999178 y2[1] (numeric) = 0.9070610113963813 absolute error = 3.536504422640974e-12 relative error = 3.898860581806828e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.200096000003556 y1[1] (analytic) = 1.996550069014105 y1[1] (numeric) = 1.996550069013798 absolute error = 3.070876886113183e-13 relative error = 1.538091597988114e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.91700626561009 y2[1] (numeric) = 0.9170062656065406 absolute error = 3.549383009726625e-12 relative error = 3.870620237654755e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.210080000003566 y1[1] (analytic) = 1.997328996921901 y1[1] (numeric) = 1.997328996921629 absolute error = 2.724487302430134e-13 relative error = 1.364065362606192e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.926959792588233 y2[1] (numeric) = 0.9269597925846704 absolute error = 3.562594663719665e-12 relative error = 3.843310888137101e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.220064000003576 y1[1] (analytic) = 1.998008511645767 y1[1] (numeric) = 1.998008511645529 absolute error = 2.378097718747085e-13 relative error = 1.190234027976306e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.936920600172471 y2[1] (numeric) = 0.9369206001688959 absolute error = 3.575140183897929e-12 relative error = 3.815841153711218e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.230048000003586 y1[1] (analytic) = 1.998588545452062 y1[1] (numeric) = 1.998588545451859 absolute error = 2.031708135064036e-13 relative error = 1.01657148975828e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 0.9468876954752019 y2[1] (numeric) = 0.9468876954716143 absolute error = 3.587574681773731e-12 relative error = 3.788806950303946e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.240032000003596 y1[1] (analytic) = 1.999069040523349 y1[1] (numeric) = 1.999069040523182 absolute error = 1.674216321134736e-13 relative error = 8.374979989167519e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 0.956860084982067 y2[1] (numeric) = 0.956860084978468 absolute error = 3.59900997892737e-12 relative error = 3.761270885277674e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.250016000003606 y1[1] (analytic) = 1.999449948964154 y1[1] (numeric) = 1.999449948964022 absolute error = 1.321165399303936e-13 relative error = 6.607644267306547e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 0.9668367746509846 y2[1] (numeric) = 0.9668367746473742 absolute error = 3.610445276081009e-12 relative error = 3.734286252593498e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.260000000003616 y1[1] (analytic) = 1.999731232805742 y1[1] (numeric) = 1.999731232805645 absolute error = 9.636735853746359e-14 relative error = 4.81901552351385e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 0.9768167700112353 y2[1] (numeric) = 0.976816770007614 absolute error = 3.621325461722336e-12 relative error = 3.707272001156044e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.270112000003626 y1[1] (analytic) = 1.999914545536847 y1[1] (numeric) = 1.999914545536786 absolute error = 6.039613253960852e-14 relative error = 3.019935660470737e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 0.9869270652169762 y2[1] (numeric) = 0.9869270652133441 absolute error = 3.6320946250612e-12 relative error = 3.680205714353049e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.280096000003636 y1[1] (analytic) = 1.999995228094381 y1[1] (numeric) = 1.999995228094356 absolute error = 2.486899575160351e-14 relative error = 1.243452754399768e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 0.9969106977380116 y2[1] (numeric) = 0.996910697734369 absolute error = 3.642530721492676e-12 relative error = 3.653818471160527e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.290080000003646 y1[1] (analytic) = 1.999976231699587 y1[1] (numeric) = 1.999976231699598 absolute error = 1.13242748511766e-14 relative error = 5.662204716079645e-13 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 15 h = 0.000128 y2[1] (analytic) = 1.006894638198929 y2[1] (numeric) = 1.006894638195276 absolute error = 3.653077840226615e-12 relative error = 3.628063653969808e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.300064000003656 y1[1] (analytic) = 1.999857558246013 y1[1] (numeric) = 1.99985755824606 absolute error = 4.729550084903167e-14 relative error = 2.36494347579997e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.016877891406255 y2[1] (numeric) = 1.016877891402592 absolute error = 3.662847802843316e-12 relative error = 3.602052747727568e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.310048000003666 y1[1] (analytic) = 1.999639219562961 y1[1] (numeric) = 1.999639219563045 absolute error = 8.393286066166183e-14 relative error = 4.197400203022929e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.02685946223502 y2[1] (numeric) = 1.026859462231348 absolute error = 3.671951631645243e-12 relative error = 3.575904752976639e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.320032000003676 y1[1] (analytic) = 1.999321237414307 y1[1] (numeric) = 1.999321237414428 absolute error = 1.210143096841421e-13 relative error = 6.052769681006747e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.036838355727953 y2[1] (numeric) = 1.036838355724272 absolute error = 3.681277505052094e-12 relative error = 3.55048352977597e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.330016000003686 y1[1] (analytic) = 1.998903643496328 y1[1] (numeric) = 1.998903643496487 absolute error = 1.585398479164724e-13 relative error = 7.931340184020409e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.046813577194659 y2[1] (numeric) = 1.046813577190969 absolute error = 3.690159289249095e-12 relative error = 3.525135104894514e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.340000000003696 y1[1] (analytic) = 1.998386479434549 y1[1] (numeric) = 1.998386479434745 absolute error = 1.956212969389526e-13 relative error = 9.788962192853925e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y2[1] (analytic) = 1.056784132310768 y2[1] (numeric) = 1.056784132307069 absolute error = 3.698596984236246e-12 relative error = 3.499860445622779e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.350112000003706 y1[1] (analytic) = 1.997761244730396 y1[1] (numeric) = 1.99776124473063 absolute error = 2.34035013590983e-13 relative error = 1.171486403634618e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.06687674120388 y2[1] (numeric) = 1.066876741200173 absolute error = 3.707034679223398e-12 relative error = 3.474660695143022e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.360096000003716 y1[1] (analytic) = 1.997043830303796 y1[1] (numeric) = 1.997043830304067 absolute error = 2.708944180085382e-13 relative error = 1.356477078258863e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.076834890857841 y2[1] (numeric) = 1.076834890854127 absolute error = 3.713918061976074e-12 relative error = 3.448920622378282e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.370080000003726 y1[1] (analytic) = 1.996227031118509 y1[1] (numeric) = 1.996227031118818 absolute error = 3.088640454507185e-13 relative error = 1.547239069684666e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.086785381653831 y2[1] (numeric) = 1.086785381650109 absolute error = 3.721467578543525e-12 relative error = 3.42428932277349e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.380064000003736 y1[1] (analytic) = 1.995310928592612 y1[1] (numeric) = 1.99531092859296 absolute error = 3.47277762102749e-13 relative error = 1.740469403170665e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.096727221732619 y2[1] (numeric) = 1.096727221728891 absolute error = 3.728573005901126e-12 relative error = 3.399726871017839e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.390048000003746 y1[1] (analytic) = 1.994295614042682 y1[1] (numeric) = 1.994295614043067 absolute error = 3.856914787547794e-13 relative error = 1.933973459295413e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.106659420097275 y2[1] (numeric) = 1.10665942009354 absolute error = 3.735012299443952e-12 relative error = 3.375033214026811e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.400032000003756 y1[1] (analytic) = 1.99318118867469 y1[1] (numeric) = 1.993181188675115 absolute error = 4.249933738265099e-13 relative error = 2.132236528426688e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.116580986711945 y2[1] (numeric) = 1.116580986708204 absolute error = 3.740785459172002e-12 relative error = 3.350214183914855e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.410016000003766 y1[1] (analytic) = 1.99196776357392 y1[1] (numeric) = 1.991967763574384 absolute error = 4.636291350834654e-13 relative error = 2.327493163100381e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.126490932600545 y2[1] (numeric) = 1.126490932596799 absolute error = 3.745892485085278e-12 relative error = 3.325275309973201e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.420000000003776 y1[1] (analytic) = 1.990655459693893 y1[1] (numeric) = 1.990655459694394 absolute error = 5.018208071305708e-13 relative error = 2.520882278682906e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.136388269945338 y2[1] (numeric) = 1.136388269941587 absolute error = 3.750999510998554e-12 relative error = 3.300808016241652e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.430112000003786 y1[1] (analytic) = 1.989225676922909 y1[1] (numeric) = 1.989225676923449 absolute error = 5.400124791776761e-13 relative error = 2.714686852489307e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.146398634270996 y2[1] (numeric) = 1.14639863426724 absolute error = 3.755884492306905e-12 relative error = 3.276246481831602e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.440096000003796 y1[1] (analytic) = 1.987714754516251 y1[1] (numeric) = 1.98771475451683 absolute error = 5.788702850395566e-13 relative error = 2.91224021819185e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.15626760288333 y2[1] (numeric) = 1.156267602879569 absolute error = 3.760769473615255e-12 relative error = 3.252507866031361e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.450080000003806 y1[1] (analytic) = 1.986105377267846 y1[1] (numeric) = 1.986105377268463 absolute error = 6.175060462965121e-13 relative error = 3.109130327948533e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.166120994830394 y2[1] (numeric) = 1.166120994826629 absolute error = 3.765432410318681e-12 relative error = 3.229023769412832e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.460064000003816 y1[1] (analytic) = 1.984397705599496 y1[1] (numeric) = 1.984397705600153 absolute error = 6.570299859731676e-13 relative error = 3.310979367287041e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.175957827931717 y2[1] (numeric) = 1.175957827927949 absolute error = 3.767874900972856e-12 relative error = 3.204090156532077e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.470048000003826 y1[1] (analytic) = 1.982591909730937 y1[1] (numeric) = 1.982591909731633 absolute error = 6.954437026251981e-13 relative error = 3.507750128565684e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.185777121657401 y2[1] (numeric) = 1.185777121653631 absolute error = 3.770761480836882e-12 relative error = 3.179991764022533e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.480032000003836 y1[1] (analytic) = 1.980688169662869 y1[1] (numeric) = 1.980688169663604 absolute error = 7.349676423018536e-13 relative error = 3.710668107978611e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.195577897225865 y2[1] (numeric) = 1.195577897222092 absolute error = 3.773203971491057e-12 relative error = 3.15596665030872e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.490016000003846 y1[1] (analytic) = 1.978686675159012 y1[1] (numeric) = 1.978686675159787 absolute error = 7.742695373735842e-13 relative error = 3.91304771540629e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.205359177701406 y2[1] (numeric) = 1.205359177697631 absolute error = 3.774536239120607e-12 relative error = 3.131461815654457e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.500000000003856 y1[1] (analytic) = 1.976587625727194 y1[1] (numeric) = 1.976587625728008 absolute error = 8.137934770502397e-13 relative error = 4.117163673686574e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.215119988091581 y2[1] (numeric) = 1.215119988087805 absolute error = 3.775424417540307e-12 relative error = 3.107038362087878e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.510112000003866 y1[1] (analytic) = 1.97436244061983 y1[1] (numeric) = 1.974362440620685 absolute error = 8.548717289613705e-13 relative error = 4.329862194364844e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.224984075679522 y2[1] (numeric) = 1.224984075675744 absolute error = 3.778533042009258e-12 relative error = 3.084556866515373e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.520096000003876 y1[1] (analytic) = 1.972067674980336 y1[1] (numeric) = 1.972067674981231 absolute error = 8.955058916626513e-13 relative error = 4.540949091270819e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.234700735530004 y2[1] (numeric) = 1.234700735526224 absolute error = 3.779421220428958e-12 relative error = 3.061001837669284e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.530080000003886 y1[1] (analytic) = 1.969676014191032 y1[1] (numeric) = 1.969676014191968 absolute error = 9.36140054363932e-13 relative error = 4.752761609621445e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.244394000545419 y2[1] (numeric) = 1.244394000541638 absolute error = 3.780531443453583e-12 relative error = 3.038050200978607e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.540064000003896 y1[1] (analytic) = 1.967187696651298 y1[1] (numeric) = 1.967187696652273 absolute error = 9.754419494356625e-13 relative error = 4.958560645210098e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.254062904506655 y2[1] (numeric) = 1.254062904502875 absolute error = 3.780309398848658e-12 relative error = 3.014449582444049e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.550048000003906 y1[1] (analytic) = 1.964602970395202 y1[1] (numeric) = 1.964602970396218 absolute error = 1.016520201346793e-12 relative error = 5.174176241534995e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.263706483622897 y2[1] (numeric) = 1.263706483619116 absolute error = 3.780753488058508e-12 relative error = 2.991797175258241e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.560032000003916 y1[1] (analytic) = 1.96192209306678 y1[1] (numeric) = 1.961922093067837 absolute error = 1.056932319443149e-12 relative error = 5.387228795568557e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.273323776627694 y2[1] (numeric) = 1.273323776623915 absolute error = 3.779199175824033e-12 relative error = 2.96797974340271e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.570016000003926 y1[1] (analytic) = 1.95914533189435 y1[1] (numeric) = 1.959145331895447 absolute error = 1.09712239293458e-12 relative error = 5.600005140372832e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.282913824874781 y2[1] (numeric) = 1.282913824871001 absolute error = 3.779199175824033e-12 relative error = 2.945793476185279e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.580000000003936 y1[1] (analytic) = 1.956272963663877 y1[1] (numeric) = 1.956272963665013 absolute error = 1.13642428800631e-12 relative error = 5.809129447241948e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.292475672433633 y2[1] (numeric) = 1.292475672429856 absolute error = 3.777644863589558e-12 relative error = 2.922797654269608e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.590112000003946 y1[1] (analytic) = 1.95326660981114 y1[1] (numeric) = 1.953266609812319 absolute error = 1.178168673732216e-12 relative error = 6.031786279529615e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.302130386785531 y2[1] (numeric) = 1.302130386781757 absolute error = 3.774758283725532e-12 relative error = 2.898909603856174e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.600096000003956 y1[1] (analytic) = 1.950202679607774 y1[1] (numeric) = 1.950202679608993 absolute error = 1.219024881038422e-12 relative error = 6.250759953235185e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.311632584410242 y2[1] (numeric) = 1.311632584406469 absolute error = 3.772759882281207e-12 relative error = 2.876384688153792e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.610080000003966 y1[1] (analytic) = 1.947044033744829 y1[1] (numeric) = 1.947044033746088 absolute error = 1.259214954529853e-12 relative error = 6.467316263556471e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.321103718677196 y2[1] (numeric) = 1.321103718673426 absolute error = 3.770095347022107e-12 relative error = 2.853746676905167e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.620064000003976 y1[1] (analytic) = 1.943790987074319 y1[1] (numeric) = 1.943790987075619 absolute error = 1.300071161836058e-12 relative error = 6.688327965718424e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.330542845509146 y2[1] (numeric) = 1.33054284550538 absolute error = 3.765876499528531e-12 relative error = 2.830330877535536e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.630048000003986 y1[1] (analytic) = 1.940443863858075 y1[1] (numeric) = 1.940443863859415 absolute error = 1.340483279932414e-12 relative error = 6.908127078034647e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.33994902401933 y2[1] (numeric) = 1.339949024015568 absolute error = 3.762101741244805e-12 relative error = 2.807645420689178e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.640032000003996 y1[1] (analytic) = 1.937002997735425 y1[1] (numeric) = 1.937002997736806 absolute error = 1.38133948723862e-12 relative error = 7.131323435500935e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.349321316605254 y2[1] (numeric) = 1.349321316601495 absolute error = 3.758549027566005e-12 relative error = 2.785510746263245e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.650016000004006 y1[1] (analytic) = 1.933468731689935 y1[1] (numeric) = 1.933468731691357 absolute error = 1.4219736499399e-12 relative error = 7.354521056552253e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.358658789042154 y2[1] (numeric) = 1.3586587890384 absolute error = 3.753886090862579e-12 relative error = 2.762935124799837e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.660000000004016 y1[1] (analytic) = 1.929841418015224 y1[1] (numeric) = 1.929841418016686 absolute error = 1.462163723431331e-12 relative error = 7.576600386860371e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.367960510576118 y2[1] (numeric) = 1.367960510572369 absolute error = 3.749223154159154e-12 relative error = 2.740739316064148e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.670112000004026 y1[1] (analytic) = 1.926073125822275 y1[1] (numeric) = 1.926073125823779 absolute error = 1.504130153762162e-12 relative error = 7.809309696484252e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.37734409446785 y2[1] (numeric) = 1.377344094464106 absolute error = 3.744560217455728e-12 relative error = 2.718681724120997e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.680096000004036 y1[1] (analytic) = 1.922259629752352 y1[1] (numeric) = 1.922259629753897 absolute error = 1.545430450278218e-12 relative error = 8.039655134812972e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.386571048229241 y2[1] (numeric) = 1.386571048225504 absolute error = 3.737676834703052e-12 relative error = 2.69562590353834e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.690080000004046 y1[1] (analytic) = 1.918354203370078 y1[1] (numeric) = 1.918354203371665 absolute error = 1.587174836004124e-12 relative error = 8.273627639858411e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.395759468809668 y2[1] (numeric) = 1.395759468805936 absolute error = 3.731015496555301e-12 relative error = 2.673107781054273e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.700064000004056 y1[1] (analytic) = 1.914357235966119 y1[1] (numeric) = 1.914357235967748 absolute error = 1.62891922173003e-12 relative error = 8.508961604065308e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.404908440312621 y2[1] (numeric) = 1.404908440308897 absolute error = 3.723688024592775e-12 relative error = 2.650484485497274e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.710048000004066 y1[1] (analytic) = 1.9102691259559 y1[1] (numeric) = 1.910269125957571 absolute error = 1.670885652060861e-12 relative error = 8.746859954744586e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.414017050773856 y2[1] (numeric) = 1.414017050770139 absolute error = 3.716360552630249e-12 relative error = 2.628228952823715e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.720032000004076 y1[1] (analytic) = 1.906090280839889 y1[1] (numeric) = 1.906090280841602 absolute error = 1.712185948576916e-12 relative error = 8.982711709869629e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.423084392252291 y2[1] (numeric) = 1.423084392248583 absolute error = 3.708366946852948e-12 relative error = 2.60586579899438e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.730016000004086 y1[1] (analytic) = 1.901821117162977 y1[1] (numeric) = 1.901821117164729 absolute error = 1.752820111278197e-12 relative error = 9.216535117103704e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.432109560920515 y2[1] (numeric) = 1.432109560916814 absolute error = 3.701039474890422e-12 relative error = 2.584327048631328e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.740000000004096 y1[1] (analytic) = 1.897462060472956 y1[1] (numeric) = 1.897462060474751 absolute error = 1.794564497004103e-12 relative error = 9.457709507808525e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.441091657154878 y2[1] (numeric) = 1.441091657151185 absolute error = 3.692379735298346e-12 relative error = 2.56221019458828e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.750112000004106 y1[1] (analytic) = 1.892955934150135 y1[1] (numeric) = 1.892955934151971 absolute error = 1.835864793520159e-12 relative error = 9.698402167741915e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.450144087672004 y2[1] (numeric) = 1.45014408766832 absolute error = 3.683053861891494e-12 relative error = 2.539784765667048e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.760096000004116 y1[1] (analytic) = 1.888417265574548 y1[1] (numeric) = 1.888417265576425 absolute error = 1.87694304543129e-12 relative error = 9.93923895765819e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y2[1] (analytic) = 1.459036776553953 y2[1] (numeric) = 1.459036776550279 absolute error = 3.673505943879718e-12 relative error = 2.517761034479228e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.770080000004126 y1[1] (analytic) = 1.883790040074112 y1[1] (numeric) = 1.883790040076031 absolute error = 1.918909475762121e-12 relative error = 1.018642967072183e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.467883708912589 y2[1] (numeric) = 1.467883708908926 absolute error = 3.662847802843316e-12 relative error = 2.495325604203866e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.780064000004136 y1[1] (analytic) = 1.879074718888018 y1[1] (numeric) = 1.879074718889978 absolute error = 1.960653861488026e-12 relative error = 1.043414528320771e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.476684002890754 y2[1] (numeric) = 1.476684002887102 absolute error = 3.65241170641184e-12 relative error = 2.473387467638225e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.790048000004146 y1[1] (analytic) = 1.874271772036785 y1[1] (numeric) = 1.874271772038786 absolute error = 2.001732113399157e-12 relative error = 1.068005261170775e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.48543678128018 y2[1] (numeric) = 1.485436781276538 absolute error = 3.641309476165588e-12 relative error = 2.451339243819877e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.800032000004156 y1[1] (analytic) = 1.869381678275406 y1[1] (numeric) = 1.869381678277449 absolute error = 2.043032409915213e-12 relative error = 1.092892068889863e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.494141171608922 y2[1] (numeric) = 1.494141171605292 absolute error = 3.629985201314412e-12 relative error = 2.42947940281009e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.810016000004166 y1[1] (analytic) = 1.864404925045633 y1[1] (numeric) = 1.864404925047718 absolute error = 2.084776795641119e-12 relative error = 1.118199575443673e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.502796306228331 y2[1] (numeric) = 1.502796306224713 absolute error = 3.61799479264846e-12 relative error = 2.407508441199716e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.820000000004176 y1[1] (analytic) = 1.859342008427379 y1[1] (numeric) = 1.859342008429506 absolute error = 2.12674322597195e-12 relative error = 1.143814971281554e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.51140132239954 y2[1] (numeric) = 1.511401322395934 absolute error = 3.606004383982508e-12 relative error = 2.385868220796262e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.830112000004186 y1[1] (analytic) = 1.854126871805521 y1[1] (numeric) = 1.854126871807689 absolute error = 2.167821477883081e-12 relative error = 1.16918723893586e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.520064694879122 y2[1] (numeric) = 1.520064694875529 absolute error = 3.592681707687007e-12 relative error = 2.363505790108955e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.840096000004196 y1[1] (analytic) = 1.84889206271447 y1[1] (numeric) = 1.848892062716679 absolute error = 2.209343819004062e-12 relative error = 1.19495554313776e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.528566236020021 y2[1] (numeric) = 1.528566236016442 absolute error = 3.579359031391505e-12 relative error = 2.341644704066734e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.850080000004206 y1[1] (analytic) = 1.843572636548181 y1[1] (numeric) = 1.843572636550432 absolute error = 2.251088204729967e-12 relative error = 1.221046656965358e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.537015089980859 y2[1] (numeric) = 1.537015089977293 absolute error = 3.566036355096003e-12 relative error = 2.320104973816757e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.860064000004216 y1[1] (analytic) = 1.838169123544013 y1[1] (numeric) = 1.838169123546305 absolute error = 2.291722367431248e-12 relative error = 1.246741846589599e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.545410414584706 y2[1] (numeric) = 1.545410414581154 absolute error = 3.551825500380801e-12 relative error = 2.29830565839384e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.870048000004226 y1[1] (analytic) = 1.832682062321051 y1[1] (numeric) = 1.832682062323383 absolute error = 2.332356530132529e-12 relative error = 1.272646564335688e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.553751372990407 y2[1] (numeric) = 1.553751372986871 absolute error = 3.536504422640974e-12 relative error = 2.276107029810366e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.880032000004236 y1[1] (analytic) = 1.82711199982642 y1[1] (numeric) = 1.827111999828793 absolute error = 2.372768648228885e-12 relative error = 1.298644335133425e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.562037133776 y2[1] (numeric) = 1.562037133772478 absolute error = 3.521183344901146e-12 relative error = 2.254225119725031e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.890016000004246 y1[1] (analytic) = 1.821459491280762 y1[1] (numeric) = 1.821459491283176 absolute error = 2.41451303395479e-12 relative error = 1.32559249629923e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.570266871021588 y2[1] (numeric) = 1.570266871018082 absolute error = 3.506084311766244e-12 relative error = 2.232795186900459e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.900000000004256 y1[1] (analytic) = 1.815725100122895 y1[1] (numeric) = 1.815725100125351 absolute error = 2.455369241260996e-12 relative error = 1.352280276950959e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.578439764391671 y2[1] (numeric) = 1.578439764388181 absolute error = 3.490541189421492e-12 relative error = 2.211387008972587e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.910112000004266 y1[1] (analytic) = 1.809834312279179 y1[1] (numeric) = 1.809834312281675 absolute error = 2.496003403962277e-12 relative error = 1.379133651642942e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.58665866281451 y2[1] (numeric) = 1.586658662811036 absolute error = 3.473443754842265e-12 relative error = 2.189156266717671e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.920096000004276 y1[1] (analytic) = 1.803936847586508 y1[1] (numeric) = 1.803936847589046 absolute error = 2.537747789688183e-12 relative error = 1.406783055118278e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.594714675363461 y2[1] (numeric) = 1.594714675360005 absolute error = 3.456790409472887e-12 relative error = 2.167654479435344e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.930080000004286 y1[1] (analytic) = 1.79795924692873 y1[1] (numeric) = 1.797959246931308 absolute error = 2.578159907784539e-12 relative error = 1.433936788160547e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.602711407093755 y2[1] (numeric) = 1.602711407090316 absolute error = 3.439026841078885e-12 relative error = 2.145755515220907e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.940064000004296 y1[1] (analytic) = 1.791902106149658 y1[1] (numeric) = 1.791902106152277 absolute error = 2.619238159695669e-12 relative error = 1.461708287917439e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.610648060895747 y2[1] (numeric) = 1.610648060892326 absolute error = 3.421263272684882e-12 relative error = 2.124153224871595e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.950048000004306 y1[1] (analytic) = 1.785766029021621 y1[1] (numeric) = 1.78576602902428 absolute error = 2.659650277792025e-12 relative error = 1.489360999463734e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.618523845648325 y2[1] (numeric) = 1.618523845644923 absolute error = 3.401945392056405e-12 relative error = 2.101881539282297e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.960032000004316 y1[1] (analytic) = 1.779551627185277 y1[1] (numeric) = 1.779551627187976 absolute error = 2.699618306678531e-12 relative error = 1.517021628053875e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.626337976297771 y2[1] (numeric) = 1.626337976294389 absolute error = 3.381739333008227e-12 relative error = 2.07935827748823e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.970016000004326 y1[1] (analytic) = 1.773259520088646 y1[1] (numeric) = 1.773259520091385 absolute error = 2.739142246355186e-12 relative error = 1.544693382623574e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.634089673936011 y2[1] (numeric) = 1.634089673932648 absolute error = 3.362421452379749e-12 relative error = 2.057672541483435e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.980000000004336 y1[1] (analytic) = 1.766890334925365 y1[1] (numeric) = 1.766890334928145 absolute error = 2.779998453661392e-12 relative error = 1.573384832499421e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.641778165878258 y2[1] (numeric) = 1.641778165874916 absolute error = 3.342437437936496e-12 relative error = 2.035864227825494e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 6.990112000004346 y1[1] (analytic) = 1.760361576799057 y1[1] (numeric) = 1.760361576801876 absolute error = 2.819300348733123e-12 relative error = 1.6015461743147e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.649500017342303 y2[1] (numeric) = 1.649500017338983 absolute error = 3.320677066653843e-12 relative error = 2.013141577290895e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 7.000096000004356 y1[1] (analytic) = 1.753839180153081 y1[1] (numeric) = 1.753839180155941 absolute error = 2.859490422224553e-12 relative error = 1.630417688567641e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.657058970310984 y2[1] (numeric) = 1.657058970307685 absolute error = 3.298694650766265e-12 relative error = 1.990692371163587e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 7.010080000004366 y1[1] (analytic) = 1.747241641248831 y1[1] (numeric) = 1.74724164125173 absolute error = 2.898570272691359e-12 relative error = 1.658940700737662e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.664552428017349 y2[1] (numeric) = 1.664552428014071 absolute error = 3.278044502508237e-12 relative error = 1.969324875163422e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 7.020064000004376 y1[1] (analytic) = 1.740569617725211 y1[1] (numeric) = 1.740569617728148 absolute error = 2.937206033948314e-12 relative error = 1.687497014791637e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.671979643517819 y2[1] (numeric) = 1.671979643514564 absolute error = 3.255395952805884e-12 relative error = 1.947030853770792e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 7.030048000004386 y1[1] (analytic) = 1.733823774645709 y1[1] (numeric) = 1.733823774648685 absolute error = 2.976063839810195e-12 relative error = 1.7164742364998e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.679339876471802 y2[1] (numeric) = 1.679339876468569 absolute error = 3.233413536918306e-12 relative error = 1.92540746648113e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 7.040032000004396 y1[1] (analytic) = 1.727004784432105 y1[1] (numeric) = 1.727004784435121 absolute error = 3.01558777948685e-12 relative error = 1.746137478408013e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.686632393215488 y2[1] (numeric) = 1.686632393212277 absolute error = 3.210542942611028e-12 relative error = 1.903522638083734e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 7.050016000004406 y1[1] (analytic) = 1.720113326797443 y1[1] (numeric) = 1.720113326800497 absolute error = 3.053779451533956e-12 relative error = 1.775336196725812e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.693856466834978 y2[1] (numeric) = 1.693856466831792 absolute error = 3.186784169884049e-12 relative error = 1.88137792798858e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 7.060000000004416 y1[1] (analytic) = 1.713150088678277 y1[1] (numeric) = 1.713150088681369 absolute error = 3.091971123581061e-12 relative error = 1.804845438829336e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.701011377238747 y2[1] (numeric) = 1.701011377235585 absolute error = 3.162803352552146e-12 relative error = 1.859366371603185e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 7.070112000004426 y1[1] (analytic) = 1.706025122041311 y1[1] (numeric) = 1.706025122044441 absolute error = 3.130606884838016e-12 relative error = 1.835029768548865e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.708186788246259 y2[1] (numeric) = 1.708186788243121 absolute error = 3.138600490615318e-12 relative error = 1.83738717112876e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 7.080096000004436 y1[1] (analytic) = 1.6989195145222 y1[1] (numeric) = 1.698919514525369 absolute error = 3.169464690699897e-12 relative error = 1.865576717206212e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.715200330131393 y2[1] (numeric) = 1.715200330128279 absolute error = 3.113287405653864e-12 relative error = 1.815115908597902e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 7.090080000004446 y1[1] (analytic) = 1.69174423910567 y1[1] (numeric) = 1.691744239108878 absolute error = 3.208100451956852e-12 relative error = 1.896327102998025e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.72214258125672 y2[1] (numeric) = 1.722142581253631 absolute error = 3.08841840990226e-12 relative error = 1.793358136263324e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 7.100064000004456 y1[1] (analytic) = 1.68450001101907 y1[1] (numeric) = 1.684500011022316 absolute error = 3.245625990189183e-12 relative error = 1.926759257321512e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.72901284962262 y2[1] (numeric) = 1.729012849619557 absolute error = 3.062439191126032e-12 relative error = 1.771206727465588e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 7.110048000004466 y1[1] (analytic) = 1.677187552362913 y1[1] (numeric) = 1.677187552366197 absolute error = 3.283817662236288e-12 relative error = 1.957931095785839e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.735810450404672 y2[1] (numeric) = 1.735810450401636 absolute error = 3.036459972349803e-12 relative error = 1.749303889512768e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 7.120032000004476 y1[1] (analytic) = 1.669807592038895 y1[1] (numeric) = 1.669807592042215 absolute error = 3.320455022048918e-12 relative error = 1.98852552706059e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.742534706021919 y2[1] (numeric) = 1.742534706018909 absolute error = 3.009814619758799e-12 relative error = 1.72726236634333e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 7.130016000004486 y1[1] (analytic) = 1.662360865677238 y1[1] (numeric) = 1.662360865680597 absolute error = 3.358868738700949e-12 relative error = 2.020541272386463e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.749184946204407 y2[1] (numeric) = 1.749184946201424 absolute error = 2.982503133353021e-12 relative error = 1.705081638065098e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 7.140000000004496 y1[1] (analytic) = 1.654848115563368 y1[1] (numeric) = 1.654848115566764 absolute error = 3.396172232328354e-12 relative error = 2.052256155950711e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.755760508059998 y2[1] (numeric) = 1.755760508057043 absolute error = 2.954747557737392e-12 relative error = 1.682887583000826e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 7.150112000004506 y1[1] (analytic) = 1.647172515887521 y1[1] (numeric) = 1.647172515890955 absolute error = 3.433253681350834e-12 relative error = 2.084331573187369e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.762343580467374 y2[1] (numeric) = 1.762343580464447 absolute error = 2.927214026726688e-12 relative error = 1.660978063057596e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 7.160096000004516 y1[1] (analytic) = 1.639529149134764 y1[1] (numeric) = 1.639529149138234 absolute error = 3.470113085768389e-12 relative error = 2.116530277976264e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.768766848535344 y2[1] (numeric) = 1.768766848532446 absolute error = 2.898348228086434e-12 relative error = 1.638626498730716e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 7.170080000004526 y1[1] (analytic) = 1.631822034482238 y1[1] (numeric) = 1.631822034485744 absolute error = 3.506306356371169e-12 relative error = 2.148706343142185e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.775113486363594 y2[1] (numeric) = 1.775113486360724 absolute error = 2.870592652470805e-12 relative error = 1.617131904254388e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 7.180064000004536 y1[1] (analytic) = 1.624051940170722 y1[1] (numeric) = 1.624051940174266 absolute error = 3.543609849998575e-12 relative error = 2.181955984502605e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.781382861322897 y2[1] (numeric) = 1.781382861320055 absolute error = 2.841948898435476e-12 relative error = 1.595361087242625e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 7.190048000004546 y1[1] (analytic) = 1.616219640718775 y1[1] (numeric) = 1.616219640722355 absolute error = 3.579803120601355e-12 relative error = 2.214923659144077e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.787574348485541 y2[1] (numeric) = 1.787574348482729 absolute error = 2.811972876770596e-12 relative error = 1.573066249889377e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 7.200032000004556 y1[1] (analytic) = 1.608325916845524 y1[1] (numeric) = 1.60832591684914 absolute error = 3.61577434659921e-12 relative error = 2.248160219721496e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.793687330687628 y2[1] (numeric) = 1.793687330684845 absolute error = 2.783107078130342e-12 relative error = 1.551612162563143e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 7.210016000004566 y1[1] (analytic) = 1.600371555392851 y1[1] (numeric) = 1.600371555396502 absolute error = 3.65152352799214e-12 relative error = 2.281672350203564e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.79972119859059 y2[1] (numeric) = 1.799721198587837 absolute error = 2.753131056465463e-12 relative error = 1.529754196717533e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 7.220000000004576 y1[1] (analytic) = 1.592357349246954 y1[1] (numeric) = 1.592357349250641 absolute error = 3.687050664780145e-12 relative error = 2.315466855805826e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.805675350741924 y2[1] (numeric) = 1.8056753507392 absolute error = 2.723377079405509e-12 relative error = 1.508231852578879e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 7.230112000004586 y1[1] (analytic) = 1.584180214176362 y1[1] (numeric) = 1.584180214180085 absolute error = 3.722799846173075e-12 relative error = 2.349985066634993e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.811623975351184 y2[1] (numeric) = 1.811623975348492 absolute error = 2.692290834716005e-12 relative error = 1.486120117279913e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 7.240096000004596 y1[1] (analytic) = 1.576047979653382 y1[1] (numeric) = 1.576047979657139 absolute error = 3.75699471533153e-12 relative error = 2.383807323021854e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.817415882606435 y2[1] (numeric) = 1.817415882603774 absolute error = 2.66076050081665e-12 relative error = 1.464035021527785e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 7.250080000004606 y1[1] (analytic) = 1.567858324997296 y1[1] (numeric) = 1.567858325001087 absolute error = 3.791189584489985e-12 relative error = 2.418068982410463e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.823126310314077 y2[1] (numeric) = 1.823126310311448 absolute error = 2.628786077707446e-12 relative error = 1.441911107768817e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 7.260064000004616 y1[1] (analytic) = 1.559612066548194 y1[1] (numeric) = 1.559612066552019 absolute error = 3.825384453648439e-12 relative error = 2.452779467213894e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.828754689261943 y2[1] (numeric) = 1.828754689259347 absolute error = 2.596367565388391e-12 relative error = 1.419746224375367e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 7.270048000004626 y1[1] (analytic) = 1.551310026288403 y1[1] (numeric) = 1.551310026292262 absolute error = 3.859357278201969e-12 relative error = 2.487805282504169e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.834300458416439 y2[1] (numeric) = 1.834300458413878 absolute error = 2.561728607020086e-12 relative error = 1.396569790552001e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 7.280032000004636 y1[1] (analytic) = 1.542953031760545 y1[1] (numeric) = 1.542953031764438 absolute error = 3.892219879730874e-12 relative error = 2.522578328447082e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.839763064978469 y2[1] (numeric) = 1.83976306497594 absolute error = 2.529088050096107e-12 relative error = 1.374681391446297e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 7.290016000004646 y1[1] (analytic) = 1.534541915985057 y1[1] (numeric) = 1.534541915988983 absolute error = 3.925970659679479e-12 relative error = 2.558399101897005e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.845141964438534 y2[1] (numeric) = 1.845141964436039 absolute error = 2.495559314752427e-12 relative error = 1.352502605679889e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 7.300000000004656 y1[1] (analytic) = 1.526077517377146 y1[1] (numeric) = 1.526077517381105 absolute error = 3.959277350418233e-12 relative error = 2.594414310763848e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.850436620631014 y2[1] (numeric) = 1.850436620628553 absolute error = 2.461142400989047e-12 relative error = 1.330033341076971e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 7.310112000004666 y1[1] (analytic) = 1.517451152670926 y1[1] (numeric) = 1.517451152674918 absolute error = 3.992361996552063e-12 relative error = 2.630965741154138e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.855712746544967 y2[1] (numeric) = 1.855712746542541 absolute error = 2.425615264201042e-12 relative error = 1.307107077168673e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 7.320096000004676 y1[1] (analytic) = 1.508882068926565 y1[1] (numeric) = 1.508882068930589 absolute error = 4.024114375056342e-12 relative error = 2.666950888957904e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.860836244546557 y2[1] (numeric) = 1.860836244544167 absolute error = 2.390088127413037e-12 relative error = 1.28441615129624e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 7.330080000004686 y1[1] (analytic) = 1.500262260108659 y1[1] (numeric) = 1.500262260112715 absolute error = 4.056088798165547e-12 relative error = 2.703586503516911e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.865873934883697 y2[1] (numeric) = 1.865873934881343 absolute error = 2.354116901415182e-12 relative error = 1.261669857434349e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 7.340064000004696 y1[1] (analytic) = 1.49159258543482 y1[1] (numeric) = 1.491592585438908 absolute error = 4.087841176669826e-12 relative error = 2.740588292397661e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.870825315402296 y2[1] (numeric) = 1.870825315399978 absolute error = 2.318367720022252e-12 relative error = 1.23922190967558e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 7.350048000004706 y1[1] (analytic) = 1.482873909093261 y1[1] (numeric) = 1.482873909097381 absolute error = 4.119593555174106e-12 relative error = 2.778114531459475e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.875689892551577 y2[1] (numeric) = 1.875689892549294 absolute error = 2.282840583234247e-12 relative error = 1.217067166752605e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 7.360032000004716 y1[1] (analytic) = 1.474107100156653 y1[1] (numeric) = 1.474107100160802 absolute error = 4.14979162144391e-12 relative error = 2.815122199060648e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.880467181433272 y2[1] (numeric) = 1.880467181431026 absolute error = 2.246203223421617e-12 relative error = 1.194492116426932e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 7.370016000004726 y1[1] (analytic) = 1.465293032495494 y1[1] (numeric) = 1.465293032499675 absolute error = 4.18109991073834e-12 relative error = 2.853422365366496e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.885156705849957 y2[1] (numeric) = 1.885156705847748 absolute error = 2.208899729794211e-12 relative error = 1.171732685638083e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 7.380000000004736 y1[1] (analytic) = 1.456432584691009 y1[1] (numeric) = 1.456432584695221 absolute error = 4.212408200032769e-12 relative error = 2.892278190086263e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.889757998352521 y2[1] (numeric) = 1.88975799835035 absolute error = 2.170930102352031e-12 relative error = 1.148787360204129e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 7.390112000004746 y1[1] (analytic) = 1.447412169644903 y1[1] (numeric) = 1.447412169649147 absolute error = 4.244160578537048e-12 relative error = 2.932240496207986e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.894327876370652 y2[1] (numeric) = 1.89432787636852 absolute error = 2.132294341095076e-12 relative error = 1.12562052625248e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 7.400096000004756 y1[1] (analytic) = 1.438461049572225 y1[1] (numeric) = 1.438461049576498 absolute error = 4.273470466387153e-12 relative error = 2.970862831258457e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.898750192215847 y2[1] (numeric) = 1.898750192213754 absolute error = 2.09365857983812e-12 relative error = 1.102650884998629e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 7.410080000004766 y1[1] (analytic) = 1.42946622395293 y1[1] (numeric) = 1.429466223957234 absolute error = 4.303890577261882e-12 relative error = 3.010837545612132e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.903082921155977 y2[1] (numeric) = 1.903082921153921 absolute error = 2.055466907791015e-12 relative error = 1.080072173913723e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 7.420064000004776 y1[1] (analytic) = 1.42042858938609 y1[1] (numeric) = 1.420428589390423 absolute error = 4.333200465111986e-12 relative error = 3.050628871800446e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.907325631307097 y2[1] (numeric) = 1.907325631305081 absolute error = 2.016165012719284e-12 relative error = 1.05706386975862e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 7.430048000004786 y1[1] (analytic) = 1.411349046737949 y1[1] (numeric) = 1.41134904674231 absolute error = 4.36117808533254e-12 relative error = 3.090077607245728e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.911477899758289 y2[1] (numeric) = 1.911477899756312 absolute error = 1.976196983832779e-12 relative error = 1.033858138816396e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 7.440032000004796 y1[1] (analytic) = 1.402228501052125 y1[1] (numeric) = 1.402228501056515 absolute error = 4.390043883972794e-12 relative error = 3.130762126628322e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.915539312613806 y2[1] (numeric) = 1.91553931261187 absolute error = 1.936673044156123e-12 relative error = 1.011032784032753e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 7.450016000004806 y1[1] (analytic) = 1.393067861459395 y1[1] (numeric) = 1.393067861463812 absolute error = 4.417355370378573e-12 relative error = 3.170954906497446e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.91950946503434 y2[1] (numeric) = 1.919509465032443 absolute error = 1.896705015269617e-12 relative error = 9.881196471389555e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 7.460000000004816 y1[1] (analytic) = 1.383868041087073 y1[1] (numeric) = 1.383868041091519 absolute error = 4.445555035204052e-12 relative error = 3.212412530107946e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.923387961277367 y2[1] (numeric) = 1.923387961275511 absolute error = 1.856514941778187e-12 relative error = 9.652316532881028e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 7.470112000004826 y1[1] (analytic) = 1.374511275574261 y1[1] (numeric) = 1.374511275578734 absolute error = 4.472866521609831e-12 relative error = 3.254150475950878e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.92722235977555 y2[1] (numeric) = 1.927222359773735 absolute error = 1.815436689867056e-12 relative error = 9.41996485594162e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 7.480096000004836 y1[1] (analytic) = 1.365235375795092 y1[1] (numeric) = 1.365235375799593 absolute error = 4.500400052620535e-12 relative error = 3.296427951113976e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.93091520573456 y2[1] (numeric) = 1.930915205732786 absolute error = 1.773914348746075e-12 relative error = 9.186909624398766e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 7.490080000004846 y1[1] (analytic) = 1.355923069562582 y1[1] (numeric) = 1.355923069567109 absolute error = 4.527267449816463e-12 relative error = 3.33888223561013e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.934515258598354 y2[1] (numeric) = 1.934515258596621 absolute error = 1.733280186044794e-12 relative error = 8.959764873090925e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 7.500064000004856 y1[1] (analytic) = 1.346575285122089 y1[1] (numeric) = 1.346575285126644 absolute error = 4.554578936222242e-12 relative error = 3.382342589043801e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.938022159515724 y2[1] (numeric) = 1.938022159514033 absolute error = 1.690869666504113e-12 relative error = 8.724717920287508e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 7.510048000004866 y1[1] (analytic) = 1.33719295425542 y1[1] (numeric) = 1.337192954260001 absolute error = 4.580558154998471e-12 relative error = 3.425502759658968e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.941435558920791 y2[1] (numeric) = 1.941435558919142 absolute error = 1.649347325383133e-12 relative error = 8.495503844072862e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 7.520032000004876 y1[1] (analytic) = 1.327777012187948 y1[1] (numeric) = 1.327777012192555 absolute error = 4.6065373737747e-12 relative error = 3.469360691961308e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.944755116567855 y2[1] (numeric) = 1.944755116566249 absolute error = 1.606492716632602e-12 relative error = 8.260642704814032e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 7.530016000004886 y1[1] (analytic) = 1.318328397495394 y1[1] (numeric) = 1.318328397500026 absolute error = 4.632738637155853e-12 relative error = 3.514100618599502e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.947980501565309 y2[1] (numeric) = 1.947980501563747 absolute error = 1.56230584025252e-12 relative error = 8.020130791848903e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 7.540000000004896 y1[1] (analytic) = 1.308848052010263 y1[1] (numeric) = 1.308848052014921 absolute error = 4.657607632907457e-12 relative error = 3.558554887829663e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.951111392408621 y2[1] (numeric) = 1.951111392407102 absolute error = 1.518785097687214e-12 relative error = 7.78420495926834e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 7.550112000004906 y1[1] (analytic) = 1.299214787399081 y1[1] (numeric) = 1.299214787403764 absolute error = 4.683586851683685e-12 relative error = 3.604936533288567e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.954185784321755 y2[1] (numeric) = 1.954185784320281 absolute error = 1.474376176702208e-12 relative error = 7.544708330860793e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 7.560096000004916 y1[1] (analytic) = 1.289673442017023 y1[1] (numeric) = 1.289673442021731 absolute error = 4.707789713620514e-12 relative error = 3.65037346683485e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.957125538782667 y2[1] (numeric) = 1.957125538781237 absolute error = 1.429745211112277e-12 relative error = 7.305332145435999e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 7.570080000004926 y1[1] (analytic) = 1.280103222151961 y1[1] (numeric) = 1.280103222156692 absolute error = 4.731104397137642e-12 relative error = 3.695877266197532e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.959969887517358 y2[1] (numeric) = 1.959969887515972 absolute error = 1.38578037933712e-12 relative error = 7.070416684270858e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 7.580064000004936 y1[1] (analytic) = 1.270505081757937 y1[1] (numeric) = 1.270505081762692 absolute error = 4.75486316986462e-12 relative error = 3.742498348204593e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.962718547002774 y2[1] (numeric) = 1.962718547001433 absolute error = 1.340705324537339e-12 relative error = 6.830858793201408e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 7.590048000004946 y1[1] (analytic) = 1.260879977572094 y1[1] (numeric) = 1.260879977576872 absolute error = 4.777733764171899e-12 relative error = 3.789205831764997e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.965371243254109 y2[1] (numeric) = 1.965371243252813 absolute error = 1.295630269737558e-12 relative error = 6.592292800582317e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 7.600032000004956 y1[1] (analytic) = 1.251228869019314 y1[1] (numeric) = 1.251228869024114 absolute error = 4.800604358479177e-12 relative error = 3.836711633932956e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.967927711852118 y2[1] (numeric) = 1.967927711850867 absolute error = 1.250999304147626e-12 relative error = 6.356937282875328e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 7.610016000004966 y1[1] (analytic) = 1.241552718116575 y1[1] (numeric) = 1.241552718121397 absolute error = 4.82192064055198e-12 relative error = 3.883782436453278e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.970387697969474 y2[1] (numeric) = 1.970387697968268 absolute error = 1.205480160137995e-12 relative error = 6.117984604655559e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 7.620000000004976 y1[1] (analytic) = 1.231852489377064 y1[1] (numeric) = 1.231852489381908 absolute error = 4.843681011834633e-12 relative error = 3.932030055225229e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.972750956396167 y2[1] (numeric) = 1.972750956395007 absolute error = 1.160183060733289e-12 relative error = 5.881041684312335e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 7.630112000004986 y1[1] (analytic) = 1.222004345686493 y1[1] (numeric) = 1.222004345691357 absolute error = 4.864553204697586e-12 relative error = 3.980798613252718e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.975045676107695 y2[1] (numeric) = 1.975045676106581 absolute error = 1.113553693699032e-12 relative error = 5.638116156855465e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 7.640096000004996 y1[1] (analytic) = 1.212258586751147 y1[1] (numeric) = 1.212258586756032 absolute error = 4.885203352955614e-12 relative error = 4.0298360484688e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.977213534674181 y2[1] (numeric) = 1.977213534673114 absolute error = 1.06670228205985e-12 relative error = 5.394977645829383e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 7.650080000005006 y1[1] (analytic) = 1.202491670001287 y1[1] (numeric) = 1.202491670006193 absolute error = 4.905409412003792e-12 relative error = 4.079370805120455e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.979283985154506 y2[1] (numeric) = 1.979283985153486 absolute error = 1.019850870420669e-12 relative error = 5.152625283031621e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 7.660064000005016 y1[1] (analytic) = 1.192704568997589 y1[1] (numeric) = 1.192704569002516 absolute error = 4.926281604866745e-12 relative error = 4.130345211142309e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.98125682116735 y2[1] (numeric) = 1.981256821166377 absolute error = 9.727774141765622e-13 relative error = 4.909900643791373e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 7.670048000005026 y1[1] (analytic) = 1.182898259312682 y1[1] (numeric) = 1.182898259317628 absolute error = 4.945821530100147e-12 relative error = 4.181104749426121e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.98313184606155 y2[1] (numeric) = 1.983131846060624 absolute error = 9.259260025373806e-13 relative error = 4.669008792210394e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 7.680032000005036 y1[1] (analytic) = 1.173073718433907 y1[1] (numeric) = 1.173073718438872 absolute error = 4.96447327691385e-12 relative error = 4.232021567699589e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.984908872935695 y2[1] (numeric) = 1.984908872934817 absolute error = 8.775202786637237e-13 relative error = 4.420960028083631e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 7.690016000005046 y1[1] (analytic) = 1.163231925665878 y1[1] (numeric) = 1.163231925670861 absolute error = 4.983125023727553e-12 relative error = 4.283861982961845e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.986587724656763 y2[1] (numeric) = 1.986587724655934 absolute error = 8.29558643999917e-13 relative error = 4.175796687474477e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 7.700000000005056 y1[1] (analytic) = 1.153373862032869 y1[1] (numeric) = 1.15337386203787 absolute error = 5.000888592121555e-12 relative error = 4.335878206314893e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.988168233877776 y2[1] (numeric) = 1.988168233876995 absolute error = 7.80486786311485e-13 relative error = 3.925657663231059e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 7.710112000005066 y1[1] (analytic) = 1.143373833774702 y1[1] (numeric) = 1.143373833779721 absolute error = 5.018874205120483e-12 relative error = 4.38953040280038e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.989668603012515 y2[1] (numeric) = 1.989668603011784 absolute error = 7.318590178329032e-13 relative error = 3.678296057568636e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 7.720096000005076 y1[1] (analytic) = 1.133486000884826 y1[1] (numeric) = 1.133486000889862 absolute error = 5.036637773514485e-12 relative error = 4.443493584907769e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.991050698787795 y2[1] (numeric) = 1.991050698787113 absolute error = 6.816769371198461e-13 relative error = 3.42370456731649e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 7.730080000005086 y1[1] (analytic) = 1.123584862186737 y1[1] (numeric) = 1.123584862191789 absolute error = 5.052847029674012e-12 relative error = 4.497076455658267e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.99233400719631 y2[1] (numeric) = 1.992334007195678 absolute error = 6.319389456166391e-13 relative error = 3.171852427023159e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 7.740064000005096 y1[1] (analytic) = 1.113671404620276 y1[1] (numeric) = 1.113671404625346 absolute error = 5.069278330438465e-12 relative error = 4.551861805383173e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.993518400318612 y2[1] (numeric) = 1.99351840031803 absolute error = 5.824229987183571e-13 relative error = 2.921583260155873e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 7.750048000005106 y1[1] (analytic) = 1.103746616353225 y1[1] (numeric) = 1.103746616358309 absolute error = 5.084155318968442e-12 relative error = 4.6062703555699e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.994603760095073 y2[1] (numeric) = 1.99460376009454 absolute error = 5.331290964250002e-13 relative error = 2.672857171389211e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 7.760032000005116 y1[1] (analytic) = 1.093811486682799 y1[1] (numeric) = 1.093811486687898 absolute error = 5.099032307498419e-12 relative error = 4.661710330874517e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.99558997833765 y2[1] (numeric) = 1.995589978337166 absolute error = 4.838351941316432e-13 relative error = 2.424522068078752e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 7.770016000005126 y1[1] (analytic) = 1.083867005937042 y1[1] (numeric) = 1.083867005942156 absolute error = 5.113465206818546e-12 relative error = 4.717797643814954e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.996476956740675 y2[1] (numeric) = 1.996476956740241 absolute error = 4.340972026284362e-13 relative error = 2.174316118013787e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 7.780000000005136 y1[1] (analytic) = 1.073914165376106 y1[1] (numeric) = 1.073914165381234 absolute error = 5.127898106138673e-12 relative error = 4.774960859504802e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.997264606890645 y2[1] (numeric) = 1.997264606890262 absolute error = 3.836930773104541e-13 relative error = 1.921092858636243e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 7.790112000005146 y1[1] (analytic) = 1.063826218605047 y1[1] (numeric) = 1.06382621861019 absolute error = 5.1423310054588e-12 relative error = 4.833807360192469e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.997961028206303 y2[1] (numeric) = 1.99796102820597 absolute error = 3.324007735727719e-13 relative error = 1.663699986536721e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 7.800096000005156 y1[1] (analytic) = 1.053859560147866 y1[1] (numeric) = 1.053859560153021 absolute error = 5.155209592544452e-12 relative error = 4.891742493488534e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.998548520493961 y2[1] (numeric) = 1.99854852049368 absolute error = 2.813305144400147e-13 relative error = 1.407674177309846e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 7.810080000005166 y1[1] (analytic) = 1.043887533000537 y1[1] (numeric) = 1.043887533005705 absolute error = 5.168088179630104e-12 relative error = 4.950809370023815e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.999036478036276 y2[1] (numeric) = 1.999036478036046 absolute error = 2.298161660974074e-13 relative error = 1.149634679619073e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 7.820064000005176 y1[1] (analytic) = 1.033911131169023 y1[1] (numeric) = 1.033911131174202 absolute error = 5.17941245448128e-12 relative error = 5.00953350664193e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.999424852193919 y2[1] (numeric) = 1.99942485219374 absolute error = 1.789679515695752e-13 relative error = 8.950971644330526e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 7.830048000005186 y1[1] (analytic) = 1.023931349095351 y1[1] (numeric) = 1.023931349100542 absolute error = 5.190514684727532e-12 relative error = 5.069201845722741e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.999713604253976 y2[1] (numeric) = 1.99971360425385 absolute error = 1.263433802023428e-13 relative error = 6.318073744838933e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 7.840032000005196 y1[1] (analytic) = 1.013949181558491 y1[1] (numeric) = 1.013949181563692 absolute error = 5.201172825763933e-12 relative error = 5.129618841221873e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.999902705433808 y2[1] (numeric) = 1.999902705433733 absolute error = 7.505107646466058e-14 relative error = 3.75273638366227e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 7.850016000005206 y1[1] (analytic) = 1.003965623575192 y1[1] (numeric) = 1.003965623580402 absolute error = 5.210498699170785e-12 relative error = 5.189917440216562e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.999992136883916 y2[1] (numeric) = 1.999992136883892 absolute error = 2.331468351712829e-14 relative error = 1.165738759026008e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 7.860000000005216 y1[1] (analytic) = 0.9939816703008031 y1[1] (numeric) = 0.9939816703060239 absolute error = 5.220823773299799e-12 relative error = 5.252434656787837e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.999981889689824 y2[1] (numeric) = 1.999981889689853 absolute error = 2.886579864025407e-14 relative error = 1.443303001345219e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 7.870112000005226 y1[1] (analytic) = 0.9838703334500076 y1[1] (numeric) = 0.9838703334552382 absolute error = 5.2305937359165e-12 relative error = 5.316344601605245e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.999869908466589 y2[1] (numeric) = 1.999869908466671 absolute error = 8.193445921733655e-14 relative error = 4.096989452686961e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 7.880096000005236 y1[1] (analytic) = 0.9738886020273764 y1[1] (numeric) = 0.9738886020326152 absolute error = 5.238809386298726e-12 relative error = 5.379269636581557e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.999659039320865 y2[1] (numeric) = 1.999659039321 absolute error = 1.34781075189494e-13 relative error = 6.740202831542175e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 7.890080000005246 y1[1] (analytic) = 0.9639094733739589 y1[1] (numeric) = 0.9639094733792061 absolute error = 5.247136058983415e-12 relative error = 5.44359839167981e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.999348524733916 y2[1] (numeric) = 1.999348524734105 absolute error = 1.885158695813516e-13 relative error = 9.428864815174745e-12 % Desired digits = 10 Estimated correct digits = 10 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] = 7.900064000005256 y1[1] (analytic) = 0.9539339422035915 y1[1] (numeric) = 0.9539339422088462 absolute error = 5.254685575550866e-12 relative error = 5.508437579453898e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.998938395657659 y2[1] (numeric) = 1.998938395657901 absolute error = 2.418065747633591e-13 relative error = 1.2096749719183e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 7.910048000005266 y1[1] (analytic) = 0.9439630028715149 y1[1] (numeric) = 0.9439630028767769 absolute error = 5.262013047513392e-12 relative error = 5.574384834475994e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.998428692973525 y2[1] (numeric) = 1.99842869297382 absolute error = 2.950972799453666e-13 relative error = 1.476646532262715e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 7.920032000005276 y1[1] (analytic) = 0.9339976492752584 y1[1] (numeric) = 0.9339976492805269 absolute error = 5.268452341056218e-12 relative error = 5.640755461370067e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.997819467488387 y2[1] (numeric) = 1.997819467488736 absolute error = 3.486100297322992e-13 relative error = 1.744952611611918e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 7.930016000005286 y1[1] (analytic) = 0.9240388747555682 y1[1] (numeric) = 0.924038874760843 absolute error = 5.274780612296581e-12 relative error = 5.708396861216358e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.997110779929492 y2[1] (numeric) = 1.997110779929894 absolute error = 4.019007349143067e-13 relative error = 2.012410823442132e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 7.940000000005296 y1[1] (analytic) = 0.9140876719973918 y1[1] (numeric) = 0.9140876720026726 absolute error = 5.280775816629557e-12 relative error = 5.777099919847321e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.996302700938411 y2[1] (numeric) = 1.996302700938867 absolute error = 4.558575739110893e-13 relative error = 2.283509277910621e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 7.950112000005306 y1[1] (analytic) = 0.9040176231167035 y1[1] (numeric) = 0.9040176231219893 absolute error = 5.28577182024037e-12 relative error = 5.846978737004121e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.995383033473965 y2[1] (numeric) = 1.995383033474474 absolute error = 5.091482790930968e-13 relative error = 2.551631794757064e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 7.960096000005316 y1[1] (analytic) = 0.8940846677460182 y1[1] (numeric) = 0.8940846677513085 absolute error = 5.290212712338871e-12 relative error = 5.916903513931699e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.994375151737778 y2[1] (numeric) = 1.994375151738341 absolute error = 5.631051180898794e-13 relative error = 2.823466375417001e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 7.970080000005326 y1[1] (analytic) = 0.8841622699550675 y1[1] (numeric) = 0.8841622699603615 absolute error = 5.293987470622596e-12 relative error = 5.987574510379902e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.993268151255258 y2[1] (numeric) = 1.993268151255874 absolute error = 6.161737786669619e-13 relative error = 3.091273887454266e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 7.980064000005336 y1[1] (analytic) = 0.8742514188027873 y1[1] (numeric) = 0.8742514188080843 absolute error = 5.296985072789084e-12 relative error = 6.058880727975086e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.99206214237158 y2[1] (numeric) = 1.99206214237225 absolute error = 6.701306176637445e-13 relative error = 3.364004583039483e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 7.990048000005346 y1[1] (analytic) = 0.8643531021971514 y1[1] (numeric) = 0.8643531022024515 absolute error = 5.300093697258035e-12 relative error = 6.131861716913384e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.990757245301019 y2[1] (numeric) = 1.990757245301744 absolute error = 7.251976796851523e-13 relative error = 3.642823259324601e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 8.000032000005355 y1[1] (analytic) = 0.8544683067966981 y1[1] (numeric) = 0.8544683068019999 absolute error = 5.301870054097435e-12 relative error = 6.204876192510319e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.98935359011497 y2[1] (numeric) = 1.989353590115749 absolute error = 7.789324740770098e-13 relative error = 3.91550540812603e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 8.010016000005365 y1[1] (analytic) = 0.8445980179121768 y1[1] (numeric) = 0.8445980179174797 absolute error = 5.302869254819598e-12 relative error = 6.278571749349052e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.987851316728978 y2[1] (numeric) = 1.987851316729812 absolute error = 8.337774914934926e-13 relative error = 4.194365466253676e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 8.020000000005375 y1[1] (analytic) = 0.8347432194083385 y1[1] (numeric) = 0.8347432194136427 absolute error = 5.304201522449148e-12 relative error = 6.354291234864702e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.986250574888795 y2[1] (numeric) = 1.986250574889685 absolute error = 8.899547765395255e-13 relative error = 4.480576558621521e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 8.030112000005385 y1[1] (analytic) = 0.8247788724454923 y1[1] (numeric) = 0.8247788724507972 absolute error = 5.304867656263923e-12 relative error = 6.43186656871416e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.984529103916449 y2[1] (numeric) = 1.984529103917394 absolute error = 9.445777493510832e-13 relative error = 4.75970721460808e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 8.040096000005395 y1[1] (analytic) = 0.8149582301438703 y1[1] (numeric) = 0.8149582301491747 absolute error = 5.304423567054073e-12 relative error = 6.508828760607333e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.982730656593408 y2[1] (numeric) = 1.982730656594408 absolute error = 9.99866855977416e-13 relative error = 5.042877874775582e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 8.050080000005405 y1[1] (analytic) = 0.8051560327000217 y1[1] (numeric) = 0.8051560327053259 absolute error = 5.304201522449148e-12 relative error = 6.587793305928495e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.980834251240649 y2[1] (numeric) = 1.980834251241705 absolute error = 1.055378007208674e-12 relative error = 5.327947083647521e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 8.060064000005415 y1[1] (analytic) = 0.795373257191381 y1[1] (numeric) = 0.7953732571966838 absolute error = 5.302869254819598e-12 relative error = 6.667145528056939e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.978840076890773 y2[1] (numeric) = 1.978840076891884 absolute error = 1.110223024625157e-12 relative error = 5.610473719379991e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 8.070048000005425 y1[1] (analytic) = 0.7856108787594148 y1[1] (numeric) = 0.785610878764716 absolute error = 5.30120392028266e-12 relative error = 6.74787488769755e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.976748332321939 y2[1] (numeric) = 1.976748332323104 absolute error = 1.164623952831789e-12 relative error = 5.891614697677736e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 8.080032000005435 y1[1] (analytic) = 0.7758698705124212 y1[1] (numeric) = 0.7758698705177207 absolute error = 5.299538585745722e-12 relative error = 6.830447717019422e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.974559226038049 y2[1] (numeric) = 1.974559226039269 absolute error = 1.219691014853197e-12 relative error = 6.177029277063042e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 8.090016000005445 y1[1] (analytic) = 0.7661512034285304 y1[1] (numeric) = 0.7661512034338275 absolute error = 5.297096095091547e-12 relative error = 6.913904293809128e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.972272976247965 y2[1] (numeric) = 1.97227297624924 absolute error = 1.275202166084455e-12 relative error = 6.465647410078033e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 8.100000000005455 y1[1] (analytic) = 0.7564558462589179 y1[1] (numeric) = 0.756455846264212 absolute error = 5.294098492925059e-12 relative error = 6.998555856375796e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.969889810843758 y2[1] (numeric) = 1.969889810845089 absolute error = 1.330935361920638e-12 relative error = 6.756394974958329e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 8.110112000005465 y1[1] (analytic) = 0.7466609390300936 y1[1] (numeric) = 0.7466609390353836 absolute error = 5.289990667733946e-12 relative error = 7.08486327757496e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.967377547903034 y2[1] (numeric) = 1.967377547904421 absolute error = 1.387778780781446e-12 relative error = 7.05395251796299e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 8.120096000005475 y1[1] (analytic) = 0.7370154283942898 y1[1] (numeric) = 0.7370154283995752 absolute error = 5.285438753332983e-12 relative error = 7.171408561755874e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.964800038918615 y2[1] (numeric) = 1.964800038920057 absolute error = 1.442401753593003e-12 relative error = 7.341213991357978e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 8.130080000005485 y1[1] (analytic) = 0.7273961319101537 y1[1] (numeric) = 0.7273961319154342 absolute error = 5.28044274972217e-12 relative error = 7.259376999786407e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.962126359218192 y2[1] (numeric) = 1.96212635921969 absolute error = 1.498134949429186e-12 relative error = 7.635262338691159e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 8.140064000005495 y1[1] (analytic) = 0.7178040084236569 y1[1] (numeric) = 0.7178040084289316 absolute error = 5.274669589994119e-12 relative error = 7.348342344280896e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.959356775312628 y2[1] (numeric) = 1.959356775314182 absolute error = 1.553868145265369e-12 relative error = 7.930501299424855e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 8.150048000005505 y1[1] (analytic) = 0.7082400140721814 y1[1] (numeric) = 0.7082400140774495 absolute error = 5.26811927414883e-12 relative error = 7.438324818529558e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.956491563272462 y2[1] (numeric) = 1.956491563274072 absolute error = 1.609379296496627e-12 relative error = 8.225843273276122e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 8.160032000005515 y1[1] (analytic) = 0.6987051021892137 y1[1] (numeric) = 0.6987051021944752 absolute error = 5.261568958303542e-12 relative error = 7.53045733002058e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.953531008700392 y2[1] (numeric) = 1.953531008702057 absolute error = 1.66466840312296e-12 relative error = 8.521330839946065e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 8.170016000005525 y1[1] (analytic) = 0.6892002232093162 y1[1] (numeric) = 0.68920022321457 absolute error = 5.253797397131166e-12 relative error = 7.623034961692897e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.950475406702804 y2[1] (numeric) = 1.950475406704524 absolute error = 1.719735465144367e-12 relative error = 8.81700666019423e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 8.180000000005535 y1[1] (analytic) = 0.6797263245733884 y1[1] (numeric) = 0.6797263245786341 absolute error = 5.245692769051402e-12 relative error = 7.717360030661924e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.947325061860357 y2[1] (numeric) = 1.947325061862133 absolute error = 1.77546866098055e-12 relative error = 9.117474507745382e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 8.190112000005545 y1[1] (analytic) = 0.6701635110586988 y1[1] (numeric) = 0.6701635110639352 absolute error = 5.236477917947013e-12 relative error = 7.813731770735511e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.944038076860714 y2[1] (numeric) = 1.944038076862546 absolute error = 1.832312079841358e-12 relative error = 9.425289049894672e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 8.200096000005555 y1[1] (analytic) = 0.6607548304404623 y1[1] (numeric) = 0.6607548304456897 absolute error = 5.227374089145087e-12 relative error = 7.911215852422138e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.940697993476398 y2[1] (numeric) = 1.940697993478284 absolute error = 1.886490963443066e-12 relative error = 9.720682815071963e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 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] = 8.210080000005565 y1[1] (analytic) = 0.6513799655866759 y1[1] (numeric) = 0.6513799655918935 absolute error = 5.217604126528386e-12 relative error = 8.010077684580099e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.93726414185418 y2[1] (numeric) = 1.937264141856122 absolute error = 1.941335980859549e-12 relative error = 1.002101850190378e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.220064000005575 y1[1] (analytic) = 0.6420398509785058 y1[1] (numeric) = 0.6420398509837131 absolute error = 5.207279052399372e-12 relative error = 8.110523115447083e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.933736864278427 y2[1] (numeric) = 1.933736864280424 absolute error = 1.997291221300657e-12 relative error = 1.032866083383038e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.230048000005585 y1[1] (analytic) = 0.6327354176332334 y1[1] (numeric) = 0.6327354176384302 absolute error = 5.196842955967895e-12 relative error = 8.213295496254736e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.930116512346149 y2[1] (numeric) = 1.930116512348202 absolute error = 2.053024417136839e-12 relative error = 1.063679007979311e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.240032000005595 y1[1] (analytic) = 0.6234675930114524 y1[1] (numeric) = 0.6234675930166379 absolute error = 5.185518681116719e-12 relative error = 8.317222481556418e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.926403446931957 y2[1] (numeric) = 1.926403446934065 absolute error = 2.108091479158247e-12 relative error = 1.094314632023552e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.250016000005605 y1[1] (analytic) = 0.6142373009246197 y1[1] (numeric) = 0.614237300929793 absolute error = 5.173306227845842e-12 relative error = 8.422325085204683e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.922598038152086 y2[1] (numeric) = 1.92259803815425 absolute error = 2.164490808809205e-12 relative error = 1.125815571355527e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.260000000005615 y1[1] (analytic) = 0.6050454614429708 y1[1] (numeric) = 0.6050454614481313 absolute error = 5.160538663062653e-12 relative error = 8.529175065217913e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.918700665327507 y2[1] (numeric) = 1.918700665329727 absolute error = 2.220001960040463e-12 relative error = 1.157034028370197e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.270112000005625 y1[1] (analytic) = 0.5957759110148024 y1[1] (numeric) = 0.595775911019949 absolute error = 5.146549852952376e-12 relative error = 8.63839869622474e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.91465998375576 y2[1] (numeric) = 1.914659983758036 absolute error = 2.276179245086496e-12 relative error = 1.188816429234389e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.280096000005635 y1[1] (analytic) = 0.5866642438619775 y1[1] (numeric) = 0.58666424386711 absolute error = 5.132561042842099e-12 relative error = 8.748719726047629e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.91057869110682 y2[1] (numeric) = 1.91057869110915 absolute error = 2.330358128688204e-12 relative error = 1.219713241613828e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.290080000005645 y1[1] (analytic) = 0.5775937777808922 y1[1] (numeric) = 0.5775937777860102 absolute error = 5.118017121219509e-12 relative error = 8.860928420806167e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.90640663249481 y2[1] (numeric) = 1.906406632497195 absolute error = 2.385425190709611e-12 relative error = 1.251267777844402e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.300064000005655 y1[1] (analytic) = 0.5685654169104171 y1[1] (numeric) = 0.5685654169155199 absolute error = 5.102807065782144e-12 relative error = 8.97488119047195e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.902144223788147 y2[1] (numeric) = 1.902144223790587 absolute error = 2.440048163521169e-12 relative error = 1.282788199236428e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.310048000005665 y1[1] (analytic) = 0.5595800611923996 y1[1] (numeric) = 0.5595800611974866 absolute error = 5.087041898832467e-12 relative error = 9.09082051278342e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.897791889861292 y2[1] (numeric) = 1.897791889863787 absolute error = 2.495337270147502e-12 relative error = 1.314863491344082e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.320032000005675 y1[1] (analytic) = 0.5506386062819579 y1[1] (numeric) = 0.5506386062870288 absolute error = 5.07083264267294e-12 relative error = 9.209003118964726e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.893350064552401 y2[1] (numeric) = 1.893350064554951 absolute error = 2.550182287563985e-12 relative error = 1.346915361986619e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.330016000005685 y1[1] (analytic) = 0.5417419434582029 y1[1] (numeric) = 0.5417419434632569 absolute error = 5.053957252698638e-12 relative error = 9.32908613358745e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.88881919062008 y2[1] (numeric) = 1.888819190622686 absolute error = 2.605693438795242e-12 relative error = 1.379535665316816e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.340000000005695 y1[1] (analytic) = 0.5328909595353958 y1[1] (numeric) = 0.5328909595404319 absolute error = 5.036082662002173e-12 relative error = 9.45049371149571e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.884199719699252 y2[1] (numeric) = 1.884199719701912 absolute error = 2.660094367001875e-12 relative error = 1.411790023738284e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.350112000005705 y1[1] (analytic) = 0.5239739656831729 y1[1] (numeric) = 0.5239739656881909 absolute error = 5.017986026700783e-12 relative error = 9.576785022435575e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.87943118812821 y2[1] (numeric) = 1.879431188130925 absolute error = 2.715161429023283e-12 relative error = 1.444671901889319e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.360096000005715 y1[1] (analytic) = 0.5152175955710144 y1[1] (numeric) = 0.5152175955760138 absolute error = 4.99933427988708e-12 relative error = 9.703345388168137e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.874634792559758 y2[1] (numeric) = 1.874634792562528 absolute error = 2.770228491044691e-12 relative error = 1.477743026022699e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.370080000005725 y1[1] (analytic) = 0.5065095482916291 y1[1] (numeric) = 0.5065095482966093 absolute error = 4.980238443863527e-12 relative error = 9.832467049557167e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.869751213895484 y2[1] (numeric) = 1.869751213898309 absolute error = 2.825295553066098e-12 relative error = 1.511054268647758e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.380064000005735 y1[1] (analytic) = 0.4978506918581888 y1[1] (numeric) = 0.4978506918631493 absolute error = 4.960531985176431e-12 relative error = 9.963894931353079e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y2[1] (analytic) = 1.864780938927715 y2[1] (numeric) = 1.864780938930594 absolute error = 2.879474436667806e-12 relative error = 1.544135494179579e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.390048000005745 y1[1] (analytic) = 0.4892418893805496 y1[1] (numeric) = 0.4892418893854897 absolute error = 4.940159392674559e-12 relative error = 1.00975805627141e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.859724463090617 y2[1] (numeric) = 1.859724463093551 absolute error = 2.933653320269514e-12 relative error = 1.577466650836097e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.400032000005755 y1[1] (analytic) = 0.4806839989792183 y1[1] (numeric) = 0.4806839989841375 absolute error = 4.919176177509144e-12 relative error = 1.023370070140782e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.854582290410808 y2[1] (numeric) = 1.854582290413797 absolute error = 2.988276293081071e-12 relative error = 1.61129344787345e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.410016000005765 y1[1] (analytic) = 0.4721778736998149 y1[1] (numeric) = 0.4721778737047124 absolute error = 4.897526828528953e-12 relative error = 1.037220738480121e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.849354933457122 y2[1] (numeric) = 1.849354933460164 absolute error = 3.042677221287704e-12 relative error = 1.645264068157985e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.420000000005775 y1[1] (analytic) = 0.4637243614280416 y1[1] (numeric) = 0.4637243614329173 absolute error = 4.875710946095069e-12 relative error = 1.051424370089225e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.844042913289507 y2[1] (numeric) = 1.844042913292604 absolute error = 3.096412015679562e-12 relative error = 1.679143144318702e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.430112000005785 y1[1] (analytic) = 0.4552169624822385 y1[1] (numeric) = 0.4552169624870911 absolute error = 4.852562796031634e-12 relative error = 1.065989010947932e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.838577034048108 y2[1] (numeric) = 1.838577034051258 absolute error = 3.150590899281269e-12 relative error = 1.713602879257346e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.440096000005795 y1[1] (analytic) = 0.4468719002974301 y1[1] (numeric) = 0.4468719003022593 absolute error = 4.829248112514506e-12 relative error = 1.080678402311768e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.833096216123578 y2[1] (numeric) = 1.833096216126782 absolute error = 3.203881604463277e-12 relative error = 1.747797838587261e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.450080000005805 y1[1] (analytic) = 0.4385819736052052 y1[1] (numeric) = 0.4385819736100105 absolute error = 4.805267295182603e-12 relative error = 1.095637209090614e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.827532355644765 y2[1] (numeric) = 1.827532355648023 absolute error = 3.258282532669909e-12 relative error = 1.782886372767046e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.460064000005815 y1[1] (analytic) = 0.4303480087407148 y1[1] (numeric) = 0.4303480087454955 absolute error = 4.780731366338387e-12 relative error = 1.110898916513585e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.821886007214097 y2[1] (numeric) = 1.82188600721741 absolute error = 3.312461416271617e-12 relative error = 1.818149655442387e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.470048000005825 y1[1] (analytic) = 0.4221708264608666 y1[1] (numeric) = 0.422170826465622 absolute error = 4.755418281376933e-12 relative error = 1.126420392721698e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.816157733656358 y2[1] (numeric) = 1.816157733659724 absolute error = 3.366196210663475e-12 relative error = 1.853471286266816e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.480032000005835 y1[1] (analytic) = 0.4140512418625127 y1[1] (numeric) = 0.4140512418672422 absolute error = 4.729494573751936e-12 relative error = 1.142248614562152e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.810348105962577 y2[1] (numeric) = 1.810348105965997 absolute error = 3.419708960450407e-12 relative error = 1.888978671663878e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.490016000005845 y1[1] (analytic) = 0.4059900643012015 y1[1] (numeric) = 0.4059900643059049 absolute error = 4.703348821522013e-12 relative error = 1.158488651592377e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.804457703233122 y2[1] (numeric) = 1.804457703236595 absolute error = 3.472999665632415e-12 relative error = 1.924677790678993e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.500000000005855 y1[1] (analytic) = 0.3979880973105013 y1[1] (numeric) = 0.3979880973151776 absolute error = 4.676314890872391e-12 relative error = 1.174988629678549e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.798487112619966 y2[1] (numeric) = 1.798487112623492 absolute error = 3.526512415419347e-12 relative error = 1.960821620946765e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.510112000005865 y1[1] (analytic) = 0.3899447115919771 y1[1] (numeric) = 0.3899447115966257 absolute error = 4.648614826407993e-12 relative error = 1.19212152087656e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.792358848682467 y2[1] (numeric) = 1.792358848686047 absolute error = 3.58002516520628e-12 relative error = 1.997381923735806e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.520096000005875 y1[1] (analytic) = 0.3820643372540985 y1[1] (numeric) = 0.382064337258719 absolute error = 4.620526183884976e-12 relative error = 1.209358145565943e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.786228666932708 y2[1] (numeric) = 1.786228666936341 absolute error = 3.632649736573512e-12 relative error = 2.033698038679145e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.530080000005885 y1[1] (analytic) = 0.3742455583896173 y1[1] (numeric) = 0.3742455583942089 absolute error = 4.591660385244722e-12 relative error = 1.22691112354217e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.780020114359161 y2[1] (numeric) = 1.780020114362846 absolute error = 3.685274307940745e-12 relative error = 2.070355429251714e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.540064000005895 y1[1] (analytic) = 0.366489154369938 y1[1] (numeric) = 0.3664891543745004 absolute error = 4.56240600854585e-12 relative error = 1.244895231999283e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.773733809826793 y2[1] (numeric) = 1.773733809830531 absolute error = 3.737898879307977e-12 relative error = 2.107361802881227e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.550048000005905 y1[1] (analytic) = 0.3587958983489766 y1[1] (numeric) = 0.3587958983535091 absolute error = 4.53242998688097e-12 relative error = 1.263233500644029e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.767370379950845 y2[1] (numeric) = 1.767370379954634 absolute error = 3.789191183045659e-12 relative error = 2.143971193605183e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.560032000005915 y1[1] (analytic) = 0.3511665571860929 y1[1] (numeric) = 0.3511665571905949 absolute error = 4.50195436485501e-12 relative error = 1.281999744203802e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.760930459034367 y2[1] (numeric) = 1.760930459038207 absolute error = 3.840483486783342e-12 relative error = 2.18093989292986e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.570016000005925 y1[1] (analytic) = 0.3436018913696497 y1[1] (numeric) = 0.3436018913741205 absolute error = 4.470812609014274e-12 relative error = 1.301160651704486e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.754414689004992 y2[1] (numeric) = 1.754414689008884 absolute error = 3.892219879730874e-12 relative error = 2.218529008063839e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.580000000005935 y1[1] (analytic) = 0.3361026549412086 y1[1] (numeric) = 0.3361026549456479 absolute error = 4.43928227511492e-12 relative error = 1.320811427654876e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.74782371935095 y2[1] (numeric) = 1.747823719354893 absolute error = 3.943068094258706e-12 relative error = 2.255987288994427e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.590112000005945 y1[1] (analytic) = 0.3285747326696615 y1[1] (numeric) = 0.3285747326740684 absolute error = 4.406919273947096e-12 relative error = 1.341222813495422e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.741072270693206 y2[1] (numeric) = 1.741072270697199 absolute error = 3.993472219576688e-12 relative error = 2.293685498756862e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.600096000005955 y1[1] (analytic) = 0.3212094536818687 y1[1] (numeric) = 0.3212094536862429 absolute error = 4.374167694720654e-12 relative error = 1.36178049698777e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.734331937361526 y2[1] (numeric) = 1.734331937365571 absolute error = 4.044542478709445e-12 relative error = 2.332046358358878e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.610080000005965 y1[1] (analytic) = 0.313911836147458 y1[1] (numeric) = 0.3139118361517989 absolute error = 4.340916515133131e-12 relative error = 1.38284575962724e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.727518406242377 y2[1] (numeric) = 1.727518406246471 absolute error = 4.094280470212652e-12 relative error = 2.370035801307816e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.620064000005975 y1[1] (analytic) = 0.306682607488771 y1[1] (numeric) = 0.3066826074930779 absolute error = 4.306943690579601e-12 relative error = 1.404365159748193e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.72063235650464 y2[1] (numeric) = 1.720632356508784 absolute error = 4.144018461715859e-12 relative error = 2.408427602822826e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.630048000005985 y1[1] (analytic) = 0.2995224883111851 y1[1] (numeric) = 0.2995224883154575 absolute error = 4.272360243362527e-12 relative error = 1.42639047486939e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.713674474545816 y2[1] (numeric) = 1.71367447455001 absolute error = 4.194200542428916e-12 relative error = 2.447489651464015e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.640032000005995 y1[1] (analytic) = 0.2924321923312843 y1[1] (numeric) = 0.2924321923355218 absolute error = 4.237554751540529e-12 relative error = 1.449072592780749e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.706645453923598 y2[1] (numeric) = 1.706645453927841 absolute error = 4.243050355512423e-12 relative error = 2.486193219427973e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.650016000006005 y1[1] (analytic) = 0.2854124263057162 y1[1] (numeric) = 0.2854124263099181 absolute error = 4.201916592450061e-12 relative error = 1.472226226040077e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.699545995286741 y2[1] (numeric) = 1.699545995291032 absolute error = 4.29101199017623e-12 relative error = 2.524798976948116e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.660000000006015 y1[1] (analytic) = 0.2784638899607428 y1[1] (numeric) = 0.2784638899649084 absolute error = 4.165612299544819e-12 relative error = 1.495925486113146e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.692376806305221 y2[1] (numeric) = 1.692376806309561 absolute error = 4.340305892469587e-12 relative error = 2.564621469816345e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.670112000006025 y1[1] (analytic) = 0.271499584148884 y1[1] (numeric) = 0.2714995841530125 absolute error = 4.128475339371107e-12 relative error = 1.520619397010622e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.685045359158611 y2[1] (numeric) = 1.685045359163002 absolute error = 4.390710017787569e-12 relative error = 2.605692478201281e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.680096000006035 y1[1] (analytic) = 0.2646965131619092 y1[1] (numeric) = 0.2646965131660007 absolute error = 4.091449401499858e-12 relative error = 1.54571337288346e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.677737989376238 y2[1] (numeric) = 1.677737989380678 absolute error = 4.439781875476001e-12 relative error = 2.646290364520301e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.690080000006045 y1[1] (analytic) = 0.2579667368059017 y1[1] (numeric) = 0.2579667368099552 absolute error = 4.05359079636014e-12 relative error = 1.5713618145312e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.670363063058756 y2[1] (numeric) = 1.670363063063245 absolute error = 4.488409643954583e-12 relative error = 2.687086264788112e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.700064000006055 y1[1] (analytic) = 0.2513109259011189 y1[1] (numeric) = 0.2513109259051342 absolute error = 4.015232590859341e-12 relative error = 1.597715091957116e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.662921315334603 y2[1] (numeric) = 1.662921315339139 absolute error = 4.536149234013465e-12 relative error = 2.727819525905066e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.710048000006065 y1[1] (analytic) = 0.2447297438949848 y1[1] (numeric) = 0.2447297438989612 absolute error = 3.976374784997461e-12 relative error = 1.624802413352645e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.655413487992935 y2[1] (numeric) = 1.655413487997518 absolute error = 4.583666779467421e-12 relative error = 2.768895392428375e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.720032000006075 y1[1] (analytic) = 0.2382238467959573 y1[1] (numeric) = 0.2382238467998942 absolute error = 3.936906356472036e-12 relative error = 1.652608002692552e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.647840329409686 y2[1] (numeric) = 1.647840329414317 absolute error = 4.630740235711528e-12 relative error = 2.810187463593891e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.730016000006085 y1[1] (analytic) = 0.2317938831081378 y1[1] (numeric) = 0.2317938831120346 absolute error = 3.896855060858684e-12 relative error = 1.681172517844529e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.640202594472973 y2[1] (numeric) = 1.640202594477651 absolute error = 4.67759164735071e-12 relative error = 2.851837732188019e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.740000000006095 y1[1] (analytic) = 0.2254404937666284 y1[1] (numeric) = 0.2254404937704847 absolute error = 3.856276409308634e-12 relative error = 1.710551793459331e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.632501044507845 y2[1] (numeric) = 1.632501044512569 absolute error = 4.723776925175116e-12 relative error = 2.893582788854635e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.750112000006105 y1[1] (analytic) = 0.2190843522052274 y1[1] (numeric) = 0.219084352209042 absolute error = 3.814670801460807e-12 relative error = 1.741188160205715e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.624636495114775 y2[1] (numeric) = 1.624636495119546 absolute error = 4.770628336814298e-12 relative error = 2.936428149410289e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.760096000006115 y1[1] (analytic) = 0.2128870056571917 y1[1] (numeric) = 0.2128870056609647 absolute error = 3.773037438037363e-12 relative error = 1.77231927631742e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.616808831111146 y2[1] (numeric) = 1.616808831115963 absolute error = 4.817479748453479e-12 relative error = 2.979622362120996e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.770080000006125 y1[1] (analytic) = 0.2067681180821956 y1[1] (numeric) = 0.2067681180859265 absolute error = 3.730821207525992e-12 relative error = 1.80435032350727e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.608919683956052 y2[1] (numeric) = 1.608919683960915 absolute error = 4.862776847858186e-12 relative error = 3.022386323164042e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.780064000006135 y1[1] (analytic) = 0.2007282994074528 y1[1] (numeric) = 0.2007282994111408 absolute error = 3.687938843199845e-12 relative error = 1.837278975653453e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.60096984003517 y2[1] (numeric) = 1.600969840040077 absolute error = 4.907185768843192e-12 relative error = 3.065133174985602e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.790048000006145 y1[1] (analytic) = 0.1947681516786337 y1[1] (numeric) = 0.1947681516822784 absolute error = 3.644695656390695e-12 relative error = 1.871299606726474e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.592960091784393 y2[1] (numeric) = 1.592960091789345 absolute error = 4.952038779038048e-12 relative error = 3.108702348902477e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.800032000006155 y1[1] (analytic) = 0.1888882689998548 y1[1] (numeric) = 0.1888882690034556 absolute error = 3.600814091342386e-12 relative error = 1.906319598569223e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.584891237610847 y2[1] (numeric) = 1.584891237615843 absolute error = 4.996447700023054e-12 relative error = 3.152549261080513e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.810016000006165 y1[1] (analytic) = 0.183089237474458 y1[1] (numeric) = 0.1830892374780145 absolute error = 3.556488437084226e-12 relative error = 1.94248907589687e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.576764081813299 y2[1] (numeric) = 1.576764081818339 absolute error = 5.040412531798211e-12 relative error = 3.196681475647056e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.820000000006175 y1[1] (analytic) = 0.1773716351465888 y1[1] (numeric) = 0.1773716351501005 absolute error = 3.511718693616217e-12 relative error = 1.979864870002442e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.56857943450199 y2[1] (numeric) = 1.568579434507074 absolute error = 5.084377363573367e-12 relative error = 3.24138978985633e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.830112000006185 y1[1] (analytic) = 0.1716643154506367 y1[1] (numeric) = 0.1716643154541025 absolute error = 3.465810971547967e-12 relative error = 2.018946664861508e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.560232089139972 y2[1] (numeric) = 1.5602320891451 absolute error = 5.127676061533748e-12 relative error = 3.286482887530031e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.840096000006195 y1[1] (analytic) = 0.1661123352103502 y1[1] (numeric) = 0.1661123352137702 absolute error = 3.420042027357795e-12 relative error = 2.058873004841544e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.551934201251983 y2[1] (numeric) = 1.551934201257154 absolute error = 5.170752714889204e-12 relative error = 3.331811819546107e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.850080000006205 y1[1] (analytic) = 0.160643476415498 y1[1] (numeric) = 0.1606434764188717 absolute error = 3.373690216079694e-12 relative error = 2.100110313445768e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.543581296878525 y2[1] (numeric) = 1.543581296883739 absolute error = 5.21338527903481e-12 relative error = 3.377460772281621e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.860064000006215 y1[1] (analytic) = 0.1552582841987965 y1[1] (numeric) = 0.1552582842021234 absolute error = 3.326866560016128e-12 relative error = 2.142794877055531e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.535174208632328 y2[1] (numeric) = 1.535174208637583 absolute error = 5.254241486341016e-12 relative error = 3.422570192227218e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.870048000006225 y1[1] (analytic) = 0.1499572953531256 y1[1] (numeric) = 0.1499572953564051 absolute error = 3.279432281289019e-12 relative error = 2.186910795881238e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.52671377452714 y2[1] (numeric) = 1.526713774532436 absolute error = 5.295985872066922e-12 relative error = 3.468879340993184e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.880032000006235 y1[1] (analytic) = 0.1447410382780211 y1[1] (numeric) = 0.1447410382812526 absolute error = 3.231553913352059e-12 relative error = 2.232645248229347e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.518200837894192 y2[1] (numeric) = 1.518200837899528 absolute error = 5.336175945558352e-12 relative error = 3.514802397922432e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.890016000006245 y1[1] (analytic) = 0.1396100329270045 y1[1] (numeric) = 0.1396100329301876 absolute error = 3.183148189478402e-12 relative error = 2.280028249218107e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.509636247298139 y2[1] (numeric) = 1.509636247303516 absolute error = 5.377032152864558e-12 relative error = 3.561806469928147e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.900000000006255 y1[1] (analytic) = 0.1345647907557541 y1[1] (numeric) = 0.1345647907588885 absolute error = 3.134353887546126e-12 relative error = 2.329252600136116e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.501020856452472 y2[1] (numeric) = 1.501020856457888 absolute error = 5.416556092541214e-12 relative error = 3.608581499222309e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.910112000006265 y1[1] (analytic) = 0.1295428002944757 y1[1] (numeric) = 0.1295428002975602 absolute error = 3.084477118164841e-12 relative error = 2.381048665887437e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.492244109645628 y2[1] (numeric) = 1.492244109651084 absolute error = 5.456080032217869e-12 relative error = 3.656291887467096e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.920096000006275 y1[1] (analytic) = 0.1246717000887596 y1[1] (numeric) = 0.1246717000917943 absolute error = 3.034725248873826e-12 relative error = 2.434173310152395e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.483529076038347 y2[1] (numeric) = 1.483529076043843 absolute error = 5.495603971894525e-12 relative error = 3.704412714693885e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.930080000006285 y1[1] (analytic) = 0.1198878521072823 y1[1] (numeric) = 0.1198878521102667 absolute error = 2.984432145858307e-12 relative error = 2.489353252561129e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.47476584452935 y2[1] (numeric) = 1.474765844534885 absolute error = 5.53512791157118e-12 relative error = 3.753224915062794e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.940064000006295 y1[1] (analytic) = 0.1151917332012741 y1[1] (numeric) = 0.1151917332042077 absolute error = 2.933625564693898e-12 relative error = 2.546732723925584e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.465955288632541 y2[1] (numeric) = 1.465955288638114 absolute error = 5.573319583618286e-12 relative error = 3.801834630861858e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.950048000006305 y1[1] (analytic) = 0.1105838114771813 y1[1] (numeric) = 0.1105838114800637 absolute error = 2.882388772107447e-12 relative error = 2.60651964659603e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.457098286579092 y2[1] (numeric) = 1.457098286584704 absolute error = 5.611955344875241e-12 relative error = 3.851459710415781e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.960032000006315 y1[1] (analytic) = 0.1060645462500057 y1[1] (numeric) = 0.1060645462528364 absolute error = 2.83068013473553e-12 relative error = 2.6688278362718e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.448195721229902 y2[1] (numeric) = 1.448195721235553 absolute error = 5.650813150737122e-12 relative error = 3.901967854136515e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.970016000006325 y1[1] (analytic) = 0.10163438799752 y1[1] (numeric) = 0.1016343880002985 absolute error = 2.778541285941571e-12 relative error = 2.733859415780977e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.439248479987592 y2[1] (numeric) = 1.439248479993278 absolute error = 5.686340287525127e-12 relative error = 3.950909357621244e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.980000000006335 y1[1] (analytic) = 0.09729377831536479 y1[1] (numeric) = 0.09729377831809069 absolute error = 2.725902836786531e-12 relative error = 2.801723690851928e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.43025745470805 y2[1] (numeric) = 1.430257454713773 absolute error = 5.722089468918057e-12 relative error = 4.00074088065919e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 8.990112000006345 y1[1] (analytic) = 0.09298924068964154 y1[1] (numeric) = 0.09298924069231382 absolute error = 2.672279064697136e-12 relative error = 2.873750817705959e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.421107447684373 y2[1] (numeric) = 1.421107447690132 absolute error = 5.758948873335612e-12 relative error = 4.052437331687723e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.000096000006355 y1[1] (analytic) = 0.08883017893667033 y1[1] (numeric) = 0.08883017893928906 absolute error = 2.61872468154678e-12 relative error = 2.948012390489213e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.412031014831918 y2[1] (numeric) = 1.412031014837712 absolute error = 5.794476010123617e-12 relative error = 4.103646413753432e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.010080000006365 y1[1] (analytic) = 0.08476194207026466 y1[1] (numeric) = 0.0847619420728293 absolute error = 2.564642942459727e-12 relative error = 3.025701016068897e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.402913510963589 y2[1] (numeric) = 1.402913510969419 absolute error = 5.830003146911622e-12 relative error = 4.1556397463927e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.020064000006375 y1[1] (analytic) = 0.08078493560994815 y1[1] (numeric) = 0.08078493561245842 absolute error = 2.51026976982871e-12 relative error = 3.107348852698208e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.393755844906959 y2[1] (numeric) = 1.393755844912823 absolute error = 5.864198016070077e-12 relative error = 4.207478689685097e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.030048000006385 y1[1] (analytic) = 0.07689955598145004 y1[1] (numeric) = 0.07689955598390551 absolute error = 2.455466385775651e-12 relative error = 3.19308265754872e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.38455892949294 y2[1] (numeric) = 1.384558929498838 absolute error = 5.898614929833457e-12 relative error = 4.260284487850349e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.040032000006395 y1[1] (analytic) = 0.07310619047718914 y1[1] (numeric) = 0.07310619047958934 absolute error = 2.400205034724934e-12 relative error = 3.283176183929122e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.375323681464801 y2[1] (numeric) = 1.375323681470733 absolute error = 5.932809798991912e-12 relative error = 4.31375528462734e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.050016000006405 y1[1] (analytic) = 0.06940521721766901 y1[1] (numeric) = 0.06940521722001362 absolute error = 2.344610616766829e-12 relative error = 3.378147509305603e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.366051021386782 y2[1] (numeric) = 1.366051021392747 absolute error = 5.965228311310966e-12 relative error = 4.366768310934104e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.060000000006415 y1[1] (analytic) = 0.06579700511378739 y1[1] (numeric) = 0.06579700511607586 absolute error = 2.28847496508422e-12 relative error = 3.478083783793197e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.356741873552336 y2[1] (numeric) = 1.356741873558335 absolute error = 5.998312957444796e-12 relative error = 4.42111581751325e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.070112000006425 y1[1] (analytic) = 0.0622374546747364 y1[1] (numeric) = 0.06223745467696761 absolute error = 2.231208273695273e-12 relative error = 3.584992807556077e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.347277135131415 y2[1] (numeric) = 1.347277135137445 absolute error = 6.030065335949075e-12 relative error = 4.47574235375181e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.080096000006435 y1[1] (analytic) = 0.05881703517649328 y1[1] (numeric) = 0.0588170351786675 absolute error = 2.174219138062483e-12 relative error = 3.696580644601121e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.337897361229758 y2[1] (numeric) = 1.33789736123582 absolute error = 6.06203975905828e-12 relative error = 4.531020042887462e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.090080000006445 y1[1] (analytic) = 0.05549043225781769 y1[1] (numeric) = 0.05549043225993464 absolute error = 2.116945507779633e-12 relative error = 3.814973900264383e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.328483905912414 y2[1] (numeric) = 1.328483905918506 absolute error = 6.091793736118234e-12 relative error = 4.58552317345112e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.100064000006455 y1[1] (analytic) = 0.05225797751258598 y1[1] (numeric) = 0.05225797751464519 absolute error = 2.059206971605221e-12 relative error = 3.940464345581064e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.319037707507226 y2[1] (numeric) = 1.319037707513348 absolute error = 6.122435891597888e-12 relative error = 4.641592773847483e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.110048000006465 y1[1] (analytic) = 0.04911999315003812 y1[1] (numeric) = 0.04911999315203912 absolute error = 2.000996590645343e-12 relative error = 4.073690695626228e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.309559707605845 y2[1] (numeric) = 1.309559707611997 absolute error = 6.151967824052917e-12 relative error = 4.697737558908275e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.120032000006475 y1[1] (analytic) = 0.04607679196266024 y1[1] (numeric) = 0.04607679196460274 absolute error = 1.942501715035405e-12 relative error = 4.215792012190371e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.300050850969882 y2[1] (numeric) = 1.300050850976063 absolute error = 6.181499756507947e-12 relative error = 4.754813822779577e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.130016000006485 y1[1] (analytic) = 0.04312867729500602 y1[1] (numeric) = 0.04312867729688971 absolute error = 1.883687650305887e-12 relative error = 4.367598935207791e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.290512085436726 y2[1] (numeric) = 1.290512085442936 absolute error = 6.210587599753126e-12 relative error = 4.812498596362532e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.140000000006495 y1[1] (analytic) = 0.04027594301345938 y1[1] (numeric) = 0.04027594301528371 absolute error = 1.824325412957961e-12 relative error = 4.529565980238649e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.280944361825069 y2[1] (numeric) = 1.280944361831307 absolute error = 6.23856521997368e-12 relative error = 4.870285865566458e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.150112000006505 y1[1] (analytic) = 0.03748414873655004 y1[1] (numeric) = 0.03748414873831401 absolute error = 1.763970913781776e-12 relative error = 4.705911627284105e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.271225434033382 y2[1] (numeric) = 1.271225434039648 absolute error = 6.266542840194234e-12 relative error = 4.929529155431983e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.160096000006515 y1[1] (analytic) = 0.03482425050528226 y1[1] (numeric) = 0.03482425050698609 absolute error = 1.703831520316612e-12 relative error = 4.892658120691411e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.261602317626029 y2[1] (numeric) = 1.261602317632322 absolute error = 6.292966148180312e-12 relative error = 4.988074340273768e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.170080000006525 y1[1] (analytic) = 0.03226056044063397 y1[1] (numeric) = 0.03226056044227745 absolute error = 1.643483960034331e-12 relative error = 5.094406103262458e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.251953124849294 y2[1] (numeric) = 1.251953124855615 absolute error = 6.320277634586091e-12 relative error = 5.04833408626773e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.180064000006535 y1[1] (analytic) = 0.02979333408976448 y1[1] (numeric) = 0.02979333409134723 absolute error = 1.582751291140383e-12 relative error = 5.312434272618513e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.242278817529195 y2[1] (numeric) = 1.24227881753554 absolute error = 6.34581276415247e-12 relative error = 5.108203307188194e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.190048000006545 y1[1] (analytic) = 0.02742281738438523 y1[1] (numeric) = 0.02742281738590683 absolute error = 1.521595349718297e-12 relative error = 5.548647056901982e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.232580359995149 y2[1] (numeric) = 1.232580360001521 absolute error = 6.371569938323773e-12 relative error = 5.169293739475817e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.200032000006555 y1[1] (analytic) = 0.0251492466162454 y1[1] (numeric) = 0.02514924661770548 absolute error = 1.460082055260159e-12 relative error = 5.805669161942229e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.222858718983858 y2[1] (numeric) = 1.222858718990254 absolute error = 6.396660978680302e-12 relative error = 5.230907609667001e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.210016000006565 y1[1] (analytic) = 0.02297284841357861 y1[1] (numeric) = 0.02297284841497687 absolute error = 1.398266918917201e-12 relative error = 6.086606648615351e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.213114863542935 y2[1] (numeric) = 1.213114863549356 absolute error = 6.42041975140728e-12 relative error = 5.29250769597882e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.220000000006575 y1[1] (analytic) = 0.02089383971851277 y1[1] (numeric) = 0.02089383971984894 absolute error = 1.336167287924184e-12 relative error = 6.395029855332365e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.203349764934319 y2[1] (numeric) = 1.203349764940761 absolute error = 6.442846256504708e-12 relative error = 5.35409275361962e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.230112000006585 y1[1] (analytic) = 0.01888765955982574 y1[1] (numeric) = 0.0188876595610986 absolute error = 1.272853350497982e-12 relative error = 6.739073978256973e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.193438815742869 y2[1] (numeric) = 1.193438815749335 absolute error = 6.466605029231687e-12 relative error = 5.418463807217867e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.240096000006595 y1[1] (analytic) = 0.01700529686703067 y1[1] (numeric) = 0.01700529686824079 absolute error = 1.210115341265805e-12 relative error = 7.116108296891529e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.18363391193493 y2[1] (numeric) = 1.183633911941417 absolute error = 6.487699266699565e-12 relative error = 5.481170488004931e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.250080000006605 y1[1] (analytic) = 0.01522091852396135 y1[1] (numeric) = 0.01522091852510833 absolute error = 1.146980080357629e-12 relative error = 7.535551015216392e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.173810703603689 y2[1] (numeric) = 1.173810703610199 absolute error = 6.510125771796993e-12 relative error = 5.546146198710239e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.260064000006615 y1[1] (analytic) = 0.01353470239643018 y1[1] (numeric) = 0.01353470239751376 absolute error = 1.083586345651533e-12 relative error = 8.005985753608682e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.163970169920935 y2[1] (numeric) = 1.163970169927466 absolute error = 6.530997964659946e-12 relative error = 5.610966787150203e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.270048000006625 y1[1] (analytic) = 0.01194681656549623 y1[1] (numeric) = 0.01194681656651617 absolute error = 1.019935871870992e-12 relative error = 8.537302521381995e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.154113291785436 y2[1] (numeric) = 1.154113291791987 absolute error = 6.550759934498274e-12 relative error = 5.676011169028406e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.280032000006635 y1[1] (analytic) = 0.01045741931071098 y1[1] (numeric) = 0.01045741931166688 absolute error = 9.558968200318319e-13 relative error = 9.140848154121136e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.144241051725166 y2[1] (numeric) = 1.144241051731737 absolute error = 6.570965993546452e-12 relative error = 5.742641363582825e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.290016000006645 y1[1] (analytic) = 0.00906665909434079 y1[1] (numeric) = 0.009066659095232322 absolute error = 8.915316401791884e-13 relative error = 9.833077773219278e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 1.134354433799367 y2[1] (numeric) = 1.134354433805957 absolute error = 6.589617740360154e-12 relative error = 5.809134732509589e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.300000000006655 y1[1] (analytic) = 0.007774674546568328 y1[1] (numeric) = 0.00777467454739533 absolute error = 8.270025289580651e-13 relative error = 1.063713373472458e-08 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 10 h = 0.000128 y2[1] (analytic) = 1.124454423500459 y2[1] (numeric) = 1.124454423507068 absolute error = 6.608935620988632e-12 relative error = 5.877459755473969e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.310112000006665 y1[1] (analytic) = 0.0065669412128182 y1[1] (numeric) = 0.00656694121357942 absolute error = 7.612200800255486e-13 relative error = 1.159169932174361e-08 % Desired digits = 10 Estimated correct digits = 7 Correct digits = 10 h = 0.000128 y2[1] (analytic) = 1.114414849161915 y2[1] (numeric) = 1.114414849168542 absolute error = 6.627365323197409e-12 relative error = 5.946946353219771e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.320096000006675 y1[1] (analytic) = 0.005474154755969129 y1[1] (numeric) = 0.005474154756665205 absolute error = 6.960760093321916e-13 relative error = 1.271568014355415e-08 % Desired digits = 10 Estimated correct digits = 7 Correct digits = 10 h = 0.000128 y2[1] (analytic) = 1.104490875877494 y2[1] (numeric) = 1.10449087588414 absolute error = 6.645350936196337e-12 relative error = 6.01666440287861e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.330080000006685 y1[1] (analytic) = 0.004480502066495418 y1[1] (numeric) = 0.004480502067126076 absolute error = 6.306587196913682e-13 relative error = 1.407562613144067e-08 % Desired digits = 10 Estimated correct digits = 7 Correct digits = 10 h = 0.000128 y2[1] (analytic) = 1.094556487002336 y2[1] (numeric) = 1.094556487008998 absolute error = 6.662004281565714e-12 relative error = 6.08648741355593e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.340064000006695 y1[1] (analytic) = 0.00358608219112877 y1[1] (numeric) = 0.003586082191693755 absolute error = 5.649855583378383e-13 relative error = 1.575495284897531e-08 % Desired digits = 10 Estimated correct digits = 7 Correct digits = 10 h = 0.000128 y2[1] (analytic) = 1.084612672790641 y2[1] (numeric) = 1.084612672797319 absolute error = 6.678213537725242e-12 relative error = 6.157233550058579e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.350048000006705 y1[1] (analytic) = 0.002790984285130804 y1[1] (numeric) = 0.002790984285629796 absolute error = 4.989919068221216e-13 relative error = 1.787870714573857e-08 % Desired digits = 10 Estimated correct digits = 7 Correct digits = 10 h = 0.000128 y2[1] (analytic) = 1.074660424436121 y2[1] (numeric) = 1.074660424442816 absolute error = 6.694422793884769e-12 relative error = 6.22933779049076e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.360032000006715 y1[1] (analytic) = 0.002095287603405938 y1[1] (numeric) = 0.002095287603838674 absolute error = 4.327363120615324e-13 relative error = 2.065283598099419e-08 % Desired digits = 10 Estimated correct digits = 7 Correct digits = 10 h = 0.000128 y2[1] (analytic) = 1.0647007339732 y2[1] (numeric) = 1.064700733979909 absolute error = 6.709521827019671e-12 relative error = 6.301791304286411e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.370016000006725 y1[1] (analytic) = 0.001499061492601372 y1[1] (numeric) = 0.001499061492967685 absolute error = 3.66313099645077e-13 relative error = 2.443616232242757e-08 % Desired digits = 10 Estimated correct digits = 7 Correct digits = 10 h = 0.000128 y2[1] (analytic) = 1.054734594178126 y2[1] (numeric) = 1.05473459418485 absolute error = 6.723954726339798e-12 relative error = 6.375020562949547e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.380000000006735 y1[1] (analytic) = 0.001002365384194848 y1[1] (numeric) = 0.001002365384494514 absolute error = 2.996665415810895e-13 relative error = 2.989593877703562e-08 % Desired digits = 10 Estimated correct digits = 7 Correct digits = 10 h = 0.000128 y2[1] (analytic) = 1.044762998470013 y2[1] (numeric) = 1.044762998476751 absolute error = 6.737943536450075e-12 relative error = 6.449255521412371e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.390112000006745 y1[1] (analytic) = 0.0006008042472005481 y1[1] (numeric) = 0.0006008042474323107 absolute error = 2.317625258374534e-13 relative error = 3.857538073629682e-08 % Desired digits = 10 Estimated correct digits = 6 Correct digits = 10 h = 0.000128 y2[1] (analytic) = 1.034659017999037 y2[1] (numeric) = 1.034659018005788 absolute error = 6.751710301955427e-12 relative error = 6.525541443607959e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.400096000006755 y1[1] (analytic) = 0.0003045841303724872 y1[1] (numeric) = 0.0003045841305371201 absolute error = 1.64632901495515e-13 relative error = 5.405170036080978e-08 % Desired digits = 10 Estimated correct digits = 6 Correct digits = 10 h = 0.000128 y2[1] (analytic) = 1.024679454800552 y2[1] (numeric) = 1.024679454807315 absolute error = 6.763034576806604e-12 relative error = 6.600146558147777e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.410080000006765 y1[1] (analytic) = 0.0001080130807626922 y1[1] (numeric) = 0.0001080130808599914 absolute error = 9.72991625420791e-14 relative error = 9.008090673373913e-08 % Desired digits = 10 Estimated correct digits = 6 Correct digits = 10 h = 0.000128 y2[1] (analytic) = 1.01469743156813 y2[1] (numeric) = 1.014697431574904 absolute error = 6.774580896262705e-12 relative error = 6.676454168010615e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.420064000006775 y1[1] (analytic) = 1.111069246106933e-05 y1[1] (numeric) = 1.111069249070666e-05 absolute error = 2.963733554091959e-14 relative error = 2.667460704610953e-07 % Desired digits = 10 Estimated correct digits = 5 Correct digits = 9 h = 0.000128 y2[1] (analytic) = 1.004713943304136 y2[1] (numeric) = 1.004713943310921 absolute error = 6.785239037299107e-12 relative error = 6.753403874325606e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.430048000006785 y1[1] (analytic) = 1.388662464207879e-05 y1[1] (numeric) = 1.388662460391836e-05 absolute error = 3.816043516607654e-14 relative error = 2.747999326664598e-07 % Desired digits = 10 Estimated correct digits = 5 Correct digits = 9 h = 0.000128 y2[1] (analytic) = 0.9947299851569695 y2[1] (numeric) = 0.9947299851637645 absolute error = 6.795008999915808e-12 relative error = 6.831008516188992e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.440032000006795 y1[1] (analytic) = 0.0001163406006023937 y1[1] (numeric) = 0.0001163406004963003 absolute error = 1.060934245187065e-13 relative error = 9.119208940762817e-08 % Desired digits = 10 Estimated correct digits = 6 Correct digits = 10 h = 0.000128 y2[1] (analytic) = 0.9847465523218685 y2[1] (numeric) = 0.9847465523286724 absolute error = 6.803890784112809e-12 relative error = 6.909281142513642e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.450016000006805 y1[1] (analytic) = 0.0003184624077884335 y1[1] (numeric) = 0.0003184624076141391 absolute error = 1.742943896848592e-13 relative error = 5.472997296454831e-08 % Desired digits = 10 Estimated correct digits = 6 Correct digits = 10 h = 0.000128 y2[1] (analytic) = 0.9747646399417068 y2[1] (numeric) = 0.9747646399485193 absolute error = 6.812439501402423e-12 relative error = 6.988804499319777e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.460000000006815 y1[1] (analytic) = 0.0006202318988139943 y1[1] (numeric) = 0.0006202318985713151 absolute error = 2.426792490919927e-13 relative error = 3.912717961717919e-08 % Desired digits = 10 Estimated correct digits = 6 Correct digits = 10 h = 0.000128 y2[1] (analytic) = 0.964785243007801 y2[1] (numeric) = 0.9647852430146214 absolute error = 6.820433107179724e-12 relative error = 7.069379591582928e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.470112000006825 y1[1] (analytic) = 0.001027411579482496 y1[1] (numeric) = 0.001027411579170426 absolute error = 3.120700312747582e-13 relative error = 3.037439303846926e-08 % Desired digits = 10 Estimated correct digits = 7 Correct digits = 10 h = 0.000128 y2[1] (analytic) = 0.9546814873985108 y2[1] (numeric) = 0.9546814874053389 absolute error = 6.828093646049638e-12 relative error = 7.152221695066137e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.480096000006835 y1[1] (analytic) = 0.001529652600540832 y1[1] (numeric) = 0.001529652600160108 absolute error = 3.807238812408853e-13 relative error = 2.488956519318665e-08 % Desired digits = 10 Estimated correct digits = 7 Correct digits = 10 h = 0.000128 y2[1] (analytic) = 0.9447101694341227 y2[1] (numeric) = 0.9447101694409573 absolute error = 6.834643961894926e-12 relative error = 7.234646331783269e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.490080000006845 y1[1] (analytic) = 0.002131420574693177 y1[1] (numeric) = 0.002131420574243549 absolute error = 4.496281819088566e-13 relative error = 2.109523513319663e-08 % Desired digits = 10 Estimated correct digits = 7 Correct digits = 10 h = 0.000128 y2[1] (analytic) = 0.9347443627284189 y2[1] (numeric) = 0.9347443627352594 absolute error = 6.84052814392544e-12 relative error = 7.318073707295404e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.500064000006855 y1[1] (analytic) = 0.002832655518052007 y1[1] (numeric) = 0.002832655517533305 absolute error = 5.18702702317908e-13 relative error = 1.831153484821251e-08 % Desired digits = 10 Estimated correct digits = 7 Correct digits = 10 h = 0.000128 y2[1] (analytic) = 0.9247850606673116 y2[1] (numeric) = 0.9247850606741571 absolute error = 6.845524147536253e-12 relative error = 7.402286691998053e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.510048000006865 y1[1] (analytic) = 0.00363328753191916 y1[1] (numeric) = 0.003633287531331349 absolute error = 5.878119171964791e-13 relative error = 1.617851359223385e-08 % Desired digits = 10 Estimated correct digits = 7 Correct digits = 10 h = 0.000128 y2[1] (analytic) = 0.9148332559883332 y2[1] (numeric) = 0.9148332559951832 absolute error = 6.849965039634753e-12 relative error = 7.4876650961212e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.520032000006875 y1[1] (analytic) = 0.004533236809753705 y1[1] (numeric) = 0.004533236809096506 absolute error = 6.571982541503374e-13 relative error = 1.449732898877709e-08 % Desired digits = 10 Estimated correct digits = 7 Correct digits = 10 h = 0.000128 y2[1] (analytic) = 0.9048899406816817 y2[1] (numeric) = 0.9048899406885357 absolute error = 6.853961842523404e-12 relative error = 7.574359636885898e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.530016000006885 y1[1] (analytic) = 0.005532413645126133 y1[1] (numeric) = 0.00553241364439956 absolute error = 7.265733154016019e-13 relative error = 1.313302587274341e-08 % Desired digits = 10 Estimated correct digits = 7 Correct digits = 10 h = 0.000128 y2[1] (analytic) = 0.8949561058913392 y2[1] (numeric) = 0.894956105898196 absolute error = 6.856737400084967e-12 relative error = 7.66153485623291e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.540000000006895 y1[1] (analytic) = 0.00663071844066121 y1[1] (numeric) = 0.0066307184398651 absolute error = 7.961097059361322e-13 relative error = 1.200638683516088e-08 % Desired digits = 10 Estimated correct digits = 7 Correct digits = 10 h = 0.000128 y2[1] (analytic) = 0.8850327418162753 y2[1] (numeric) = 0.8850327418231344 absolute error = 6.85906886843668e-12 relative error = 7.750073578476218e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.550112000006905 y1[1] (analytic) = 0.007844034378579945 y1[1] (numeric) = 0.007844034377713199 absolute error = 8.667459111544318e-13 relative error = 1.104974646109779e-08 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 10 h = 0.000128 y2[1] (analytic) = 0.8749938406244415 y2[1] (numeric) = 0.8749938406313018 absolute error = 6.860290113763767e-12 relative error = 7.840386749314605e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.560096000006915 y1[1] (analytic) = 0.009141523908940297 y1[1] (numeric) = 0.009141523908003768 absolute error = 9.365286324225508e-13 relative error = 1.02447758355326e-08 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 10 h = 0.000128 y2[1] (analytic) = 0.8650945503009502 y2[1] (numeric) = 0.8650945503078119 absolute error = 6.86173340369578e-12 relative error = 7.931772777101314e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.570080000006925 y1[1] (analytic) = 0.01053778164541663 y1[1] (numeric) = 0.01053778164441019 absolute error = 1.006443192674844e-12 relative error = 9.550807053518637e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.8552087072755175 y2[1] (numeric) = 0.8552087072823794 absolute error = 6.861955448300705e-12 relative error = 8.023720280118745e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.580064000006935 y1[1] (analytic) = 0.01203266840983641 y1[1] (numeric) = 0.01203266840875997 absolute error = 1.076437550207032e-12 relative error = 8.945958731207709e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.8453372969633217 y2[1] (numeric) = 0.8453372969701831 absolute error = 6.861400336788392e-12 relative error = 8.11676044749993e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.590048000006945 y1[1] (analytic) = 0.01362603519274208 y1[1] (numeric) = 0.01362603519159554 absolute error = 1.146535991147779e-12 relative error = 8.414303756961397e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.8354813033408959 y2[1] (numeric) = 0.8354813033477563 absolute error = 6.86040113606623e-12 relative error = 8.211316170251898e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.600032000006955 y1[1] (analytic) = 0.01531772316824409 y1[1] (numeric) = 0.01531772316702741 absolute error = 1.216683004345853e-12 relative error = 7.942975538742059e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.8256417088480468 y2[1] (numeric) = 0.8256417088549051 absolute error = 6.858291712319442e-12 relative error = 8.306619734470875e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.610016000006965 y1[1] (analytic) = 0.01710756370985278 y1[1] (numeric) = 0.01710756370856584 absolute error = 1.286942774569866e-12 relative error = 7.522653700998205e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.8158194942899251 y2[1] (numeric) = 0.8158194942967809 absolute error = 6.855849221665267e-12 relative error = 8.403634958039924e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.620000000006975 y1[1] (analytic) = 0.01899537840728671 y1[1] (numeric) = 0.01899537840592947 absolute error = 1.357237239263398e-12 relative error = 7.145091875309816e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.8060156387392595 y2[1] (numeric) = 0.8060156387461116 absolute error = 6.852074463381541e-12 relative error = 8.501168133783742e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.630112000006985 y1[1] (analytic) = 0.02100706952102116 y1[1] (numeric) = 0.02100706951959266 absolute error = 1.428496210209573e-12 relative error = 6.800073702712884e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.796105806673703 y2[1] (numeric) = 0.7961058066805505 absolute error = 6.847522548980578e-12 relative error = 8.601271956036803e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.640096000006995 y1[1] (analytic) = 0.02309150805550875 y1[1] (numeric) = 0.02309150805400982 absolute error = 1.49892251388728e-12 relative error = 6.491228335040224e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.7863418656668089 y2[1] (numeric) = 0.7863418656736514 absolute error = 6.842526545369765e-12 relative error = 8.701719753363737e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.650080000007005 y1[1] (analytic) = 0.0252733242696721 y1[1] (numeric) = 0.02527332426810269 absolute error = 1.569414737057073e-12 relative error = 6.209767738945071e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.7765992219805306 y2[1] (numeric) = 0.7765992219873677 absolute error = 6.837197474851564e-12 relative error = 8.8040230808047e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.660064000007015 y1[1] (analytic) = 0.02755230068131898 y1[1] (numeric) = 0.02755230067967906 absolute error = 1.639910429673819e-12 relative error = 5.951990901383098e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.7668788467560178 y2[1] (numeric) = 0.7668788467628488 absolute error = 6.830980225913663e-12 relative error = 8.907508995468403e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.670048000007025 y1[1] (analytic) = 0.02992821012338431 y1[1] (numeric) = 0.02992821012167386 absolute error = 1.710458163994844e-12 relative error = 5.715203672198166e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.7571817089147128 y2[1] (numeric) = 0.757181708921537 absolute error = 6.82420786546345e-12 relative error = 9.012642256301667e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.680032000007035 y1[1] (analytic) = 0.03240081576657394 y1[1] (numeric) = 0.0324008157647929 absolute error = 1.781047531679292e-12 relative error = 5.496921881567859e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.7475087750617688 y2[1] (numeric) = 0.7475087750685852 absolute error = 6.816325281988611e-12 relative error = 9.118722762050999e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.690016000007045 y1[1] (analytic) = 0.03496987114297168 y1[1] (numeric) = 0.03496987114112005 absolute error = 1.851623021575932e-12 relative error = 5.294909477949494e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.7378610093896991 y2[1] (numeric) = 0.737861009396507 absolute error = 6.80788758700146e-12 relative error = 9.226517596630308e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.700000000007055 y1[1] (analytic) = 0.03763512017060722 y1[1] (numeric) = 0.03763512016868498 absolute error = 1.922240144835996e-12 relative error = 5.107570099742243e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.7282393735822674 y2[1] (numeric) = 0.7282393735890665 absolute error = 6.799116825106921e-12 relative error = 9.336376295697284e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.710112000007065 y1[1] (analytic) = 0.04043231850213713 y1[1] (numeric) = 0.04043231850014341 absolute error = 1.993717690940144e-12 relative error = 4.931000162245859e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.7185219997498631 y2[1] (numeric) = 0.7185219997566524 absolute error = 6.78934686249022e-12 relative error = 9.449045213443395e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.720096000007075 y1[1] (analytic) = 0.04329037274749714 y1[1] (numeric) = 0.04329037274543272 absolute error = 2.064418080927055e-12 relative error = 4.768769474377905e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.7089558639615343 y2[1] (numeric) = 0.708955863968313 absolute error = 6.778688721453818e-12 relative error = 9.561510195536811e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 9.730080000007085 y1[1] (analytic) = 0.04624379126125422 y1[1] (numeric) = 0.04624379125911929 absolute error = 2.13493112077856e-12 relative error = 4.616687046088567e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.6994187392862057 y2[1] (numeric) = 0.6994187392929733 absolute error = 6.767586491207567e-12 relative error = 9.676015398320971e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 9.740064000007095 y1[1] (analytic) = 0.04929227964834049 y1[1] (numeric) = 0.04929227964613501 absolute error = 2.205471916205681e-12 relative error = 4.474274535363131e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.6899115763790096 y2[1] (numeric) = 0.6899115763857653 absolute error = 6.755707104844078e-12 relative error = 9.792134725875024e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 9.750048000007105 y1[1] (analytic) = 0.05243553403717727 y1[1] (numeric) = 0.05243553403490125 absolute error = 2.276019650526706e-12 relative error = 4.340605454524383e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.6804353229085065 y2[1] (numeric) = 0.6804353229152484 absolute error = 6.741940339338726e-12 relative error = 9.90827505914955e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 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] = 9.760032000007115 y1[1] (analytic) = 0.05567324110996497 y1[1] (numeric) = 0.0556732411076185 absolute error = 2.346463301439172e-12 relative error = 4.214705762871741e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.6709909234622218 y2[1] (numeric) = 0.6709909234689502 absolute error = 6.728395618438299e-12 relative error = 1.00275508701678e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 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] = 9.770016000007125 y1[1] (analytic) = 0.05900507813391465 y1[1] (numeric) = 0.05900507813149777 absolute error = 2.416879196776023e-12 relative error = 4.09605287072209e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.6615793194524897 y2[1] (numeric) = 0.6615793194592037 absolute error = 6.713962719118172e-12 relative error = 1.014838662834037e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 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] = 9.780000000007135 y1[1] (analytic) = 0.06243071299341763 y1[1] (numeric) = 0.06243071299093032 absolute error = 2.487302031006777e-12 relative error = 3.984099991408116e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.6522014490226149 y2[1] (numeric) = 0.6522014490293133 absolute error = 6.698419596773419e-12 relative error = 1.027047641002888e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 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] = 9.790112000007145 y1[1] (analytic) = 0.06599552601915493 y1[1] (numeric) = 0.06599552601659642 absolute error = 2.558508960248673e-12 relative error = 3.876791525998409e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.6427386914543294 y2[1] (numeric) = 0.6427386914610116 absolute error = 6.682210340613892e-12 relative error = 1.039646504786262e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 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] = 9.800096000007155 y1[1] (analytic) = 0.06960891418162773 y1[1] (numeric) = 0.06960891417899899 absolute error = 2.628744444344022e-12 relative error = 3.776447995561237e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.6334315515081662 y2[1] (numeric) = 0.6334315515148321 absolute error = 6.665890062151902e-12 relative error = 1.052345758003494e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 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] = 9.810080000007165 y1[1] (analytic) = 0.07331504319534199 y1[1] (numeric) = 0.07331504319264309 absolute error = 2.698896661712524e-12 relative error = 3.681231769203945e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.6241609508952679 y2[1] (numeric) = 0.6241609509019167 absolute error = 6.648792627572675e-12 relative error = 1.06523687808985e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 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] = 9.820064000007175 y1[1] (analytic) = 0.07711354363547773 y1[1] (numeric) = 0.07711354363270868 absolute error = 2.769048879081026e-12 relative error = 3.5908723014605e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.6149278137038008 y2[1] (numeric) = 0.6149278137104317 absolute error = 6.63091803687621e-12 relative error = 1.07832462430626e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 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] = 9.830048000007185 y1[1] (analytic) = 0.08100403686968372 y1[1] (numeric) = 0.08100403686684467 absolute error = 2.839048440783642e-12 relative error = 3.504823402012665e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.6057330602875987 y2[1] (numeric) = 0.605733060294211 absolute error = 6.61237731236497e-12 relative error = 1.091632229752401e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 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] = 9.840032000007195 y1[1] (analytic) = 0.08498613509581976 y1[1] (numeric) = 0.08498613509291085 absolute error = 2.90890922460818e-12 relative error = 3.422804462549635e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.5965776071744224 y2[1] (numeric) = 0.5965776071810152 absolute error = 6.592726364829105e-12 relative error = 1.105091154201096e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 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] = 9.850016000007205 y1[1] (analytic) = 0.08905944138061261 y1[1] (numeric) = 0.08905944137763382 absolute error = 2.978797764008334e-12 relative error = 3.344729899301603e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.5874623669746015 y2[1] (numeric) = 0.5874623669811736 absolute error = 6.572076216571077e-12 relative error = 1.118722932060636e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 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] = 9.860000000007215 y1[1] (analytic) = 0.09322354969922153 y1[1] (numeric) = 0.09322354969617316 absolute error = 3.048367114288908e-12 relative error = 3.269953916284271e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.5783882482900649 y2[1] (numeric) = 0.5783882482966163 absolute error = 6.551426068313049e-12 relative error = 1.132703869361376e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 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] = 9.870112000007225 y1[1] (analytic) = 0.09753317478110102 y1[1] (numeric) = 0.09753317477798222 absolute error = 3.118796887413566e-12 relative error = 3.197678015109475e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.5692406363416793 y2[1] (numeric) = 0.5692406363482084 absolute error = 6.529110585518083e-12 relative error = 1.14698603168574e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 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] = 9.880096000007235 y1[1] (analytic) = 0.1018787835075142 y1[1] (numeric) = 0.101878783504326 absolute error = 3.188213582028254e-12 relative error = 3.129418581831715e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.5602520261717429 y2[1] (numeric) = 0.5602520261782499 absolute error = 6.507017147328042e-12 relative error = 1.161444643367223e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 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] = 9.890080000007245 y1[1] (analytic) = 0.1063139164430532 y1[1] (numeric) = 0.1063139164397957 absolute error = 3.257491498764864e-12 relative error = 3.064031133223966e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.5513072498282974 y2[1] (numeric) = 0.5513072498347812 absolute error = 6.483813486113377e-12 relative error = 1.176079851685741e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 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] = 9.900064000007255 y1[1] (analytic) = 0.1108381314962039 y1[1] (numeric) = 0.1108381314928773 absolute error = 3.326616759835588e-12 relative error = 3.001328798067586e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.5424071989215324 y2[1] (numeric) = 0.5424071989279924 absolute error = 6.459943691083936e-12 relative error = 1.190976761357193e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 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] = 9.910048000007265 y1[1] (analytic) = 0.1154509776957977 y1[1] (numeric) = 0.1154509776924022 absolute error = 3.395547731877002e-12 relative error = 2.941116480471864e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.5335527606034313 y2[1] (numeric) = 0.5335527606098662 absolute error = 6.43496367302987e-12 relative error = 1.206059484305194e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 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] = 9.920032000007275 y1[1] (analytic) = 0.1201519952359641 y1[1] (numeric) = 0.1201519952324996 absolute error = 3.464450948342801e-12 relative error = 2.883390277072832e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.5247448174793408 y2[1] (numeric) = 0.5247448174857503 absolute error = 6.409539565765954e-12 relative error = 1.221458383630115e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 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] = 9.930016000007285 y1[1] (analytic) = 0.1249407155219636 y1[1] (numeric) = 0.1249407155184305 absolute error = 3.533145997991483e-12 relative error = 2.827857983069084e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.5159842475199934 y2[1] (numeric) = 0.5159842475263768 absolute error = 6.383449324687263e-12 relative error = 1.23714034980107e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 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] = 9.940000000007295 y1[1] (analytic) = 0.1298166612168974 y1[1] (numeric) = 0.1298166612132957 absolute error = 3.60167451418647e-12 relative error = 2.774431633370081e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.5072719239739913 y2[1] (numeric) = 0.5072719239803478 absolute error = 6.356470905188871e-12 relative error = 1.253069725482142e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 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] = 9.950112000007305 y1[1] (analytic) = 0.1348435314614441 y1[1] (numeric) = 0.1348435314577733 absolute error = 3.670869164196233e-12 relative error = 2.722317581281863e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.4984979711447871 y2[1] (numeric) = 0.4984979711511158 absolute error = 6.328659818422011e-12 relative error = 1.26954575239061e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 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] = 9.960096000007315 y1[1] (analytic) = 0.1398935636857958 y1[1] (numeric) = 0.1398935636820568 absolute error = 3.738953591181371e-12 relative error = 2.672713091775365e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.4898853871815868 y2[1] (numeric) = 0.489885387187887 absolute error = 6.300238108991607e-12 relative error = 1.286063694456819e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 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] = 9.970080000007325 y1[1] (analytic) = 0.1450293308277297 y1[1] (numeric) = 0.1450293308239229 absolute error = 3.806815973561584e-12 relative error = 2.624859365919185e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.4813236511512016 y2[1] (numeric) = 0.4813236511574726 absolute error = 6.271039243443965e-12 relative error = 1.302873695993385e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 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] = 9.980064000007335 y1[1] (analytic) = 0.1502503209569153 y1[1] (numeric) = 0.1502503209530407 absolute error = 3.874539578063718e-12 relative error = 2.578722995989309e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.4728136164825818 y2[1] (numeric) = 0.4728136164888228 absolute error = 6.241007710627855e-12 relative error = 1.319972076324027e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 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] = 9.990048000007345 y1[1] (analytic) = 0.1555560136480425 y1[1] (numeric) = 0.1555560136441005 absolute error = 3.941957871234081e-12 relative error = 2.534108311719189e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 y2[1] (analytic) = 0.4643561314511151 y2[1] (numeric) = 0.4643561314573257 absolute error = 6.210643110904357e-12 relative error = 1.337474126054084e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 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 ( y1 , x , 1 ) = m1 * y2 + 1.0 ; diff ( y2 , x , 1 ) = y1 - 1.0 ; Iterations = 77344 Total Elapsed Time = 1 Minutes 5.0 Seconds Elapsed Time(since restart) = 1 Minutes 5.0 Seconds Time to Timeout = 8 Minutes 55.0 Seconds Percent Done = 100 %