##############ECHO OF PROBLEM################# ##############temp/mtest7_sm_hpostode.ode################# diff ( y2 , x , 5 ) = y1 ; diff ( y1 , x , 1 ) = m1 * y2 ; ! // BEGIN FIRST INPUT BLOCK Digits=32; max_terms=30; ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK x_start=0.0; x_end=0.5; array_y1_init[0 + 1] = exact_soln_y1(x_start); array_y2_init[0 + 1] = exact_soln_y2(x_start); array_y2_init[1 + 1] = exact_soln_y2p(x_start); array_y2_init[2 + 1] = exact_soln_y2pp(x_start); array_y2_init[4 + 1] = exact_soln_y2pppp(x_start); glob_look_poles=true; glob_max_iter=20; glob_max_h=0.0001; // END SECOND INPUT BLOCK // BEGIN OVERRIDE BLOCK glob_desired_digits_correct=10; glob_display_interval=0.01; glob_look_poles=true; glob_max_iter=10000000; glob_max_minutes=3; glob_subiter_method=3; // END OVERRIDE BLOCK ! // BEGIN USER DEF BLOCK double exact_soln_y1 (double x) { return( cos(x)); } double exact_soln_y2 (double x) { return( sin(x)); } double exact_soln_y2p (double x) { return( cos(x)); } double exact_soln_y2pp (double x) { return( -sin(x)); } double exact_soln_y2ppp (double x) { return( -cos(x)); } double exact_soln_y2pppp (double x) { return( sin(x)); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Optimize min_size = 0 min_size = 1 glob_desired_digits_correct = 10 desired_abs_gbl_error = 1e-10 range = 0.5 estimated_steps = 500000 step_error = 2e-16 est_needed_step_err = 2e-16 opt_iter = 1 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.479596263224795e-183 estimated_step_error = 2.479596263224795e-183 best_h = 2e-06 opt_iter = 2 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.66402888403661e-175 estimated_step_error = 1.66402888403661e-175 best_h = 4e-06 opt_iter = 3 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.116710880708846e-167 estimated_step_error = 1.116710880708846e-167 best_h = 8e-06 opt_iter = 4 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 7.494119862081017e-160 estimated_step_error = 7.494119862081017e-160 best_h = 1.6e-05 opt_iter = 5 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 5.029218706240937e-152 estimated_step_error = 5.029218706240937e-152 best_h = 3.2e-05 opt_iter = 6 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.37505154183379e-144 estimated_step_error = 3.37505154183379e-144 best_h = 6.4e-05 opt_iter = 7 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.264958749139141e-136 estimated_step_error = 2.264958749139141e-136 best_h = 0.000128 opt_iter = 8 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.519988086615887e-128 estimated_step_error = 1.519988086615887e-128 best_h = 0.0001 START of Soultion TOP MAIN SOLVE Loop x[1] = 0 y2[1] (analytic) = 0 y2[1] (numeric) = 0 absolute error = 0 relative error = -1 % Correct digits = -1 h = 0.0001 y1[1] (analytic) = 1 y1[1] (numeric) = 1 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.01009999999999999 y2[1] (analytic) = 0.0100998282840425 y2[1] (numeric) = 0.01010000000087584 absolute error = 1.717168333428831e-07 relative error = 0.001700195572772181 % Correct digits = 5 h = 0.0001 y1[1] (analytic) = 0.9999489954335835 y1[1] (numeric) = 0.9999489949999985 absolute error = 4.335850567471766e-10 relative error = 4.336071726930149e-08 % Correct digits = 10 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.0101 Order of pole (six term test) = -9.5 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.02009999999999993 y2[1] (analytic) = 0.0200986465938397 y2[1] (numeric) = 0.02010000002733979 absolute error = 1.353433500089068e-06 relative error = 0.006733953422037382 % Correct digits = 5 h = 0.0001 y1[1] (analytic) = 0.9997980018009117 y1[1] (numeric) = 0.9997979949999086 absolute error = 6.801003094025759e-09 relative error = 6.802377161961995e-07 % Correct digits = 9 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.0201 Order of pole (six term test) = -9.5 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.03009999999999987 y2[1] (analytic) = 0.03009545505572634 y2[1] (numeric) = 0.03010000020589315 absolute error = 4.545150166807704e-06 relative error = 0.01510244705850655 % Correct digits = 4 h = 0.0001 y1[1] (analytic) = 0.9995470292012221 y1[1] (numeric) = 0.9995469949989674 absolute error = 3.420225469508154e-08 relative error = 3.421775433859668e-06 % Correct digits = 8 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.03011 Order of pole (six term test) = -9.5 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.04000000000000012 y2[1] (analytic) = 0.03998933418663428 y2[1] (numeric) = 0.04000000085330085 absolute error = 1.066666666656862e-05 relative error = 0.02667377910516392 % Correct digits = 4 h = 0.0001 y1[1] (analytic) = 0.9992001066609779 y1[1] (numeric) = 0.9991999999943116 absolute error = 1.066666662774551e-07 relative error = 1.067520565364055e-05 % Correct digits = 7 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.04002 Order of pole (six term test) = -9.5 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.05000000000000041 y2[1] (analytic) = 0.04997916927067873 y2[1] (numeric) = 0.05000000260401165 absolute error = 2.083333333292164e-05 relative error = 0.04168403284194627 % Correct digits = 4 h = 0.0001 y1[1] (analytic) = 0.9987502603949662 y1[1] (numeric) = 0.9987499999783001 absolute error = 2.604166661202001e-07 relative error = 2.607425263821364e-05 % Correct digits = 7 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.05004 Order of pole (six term test) = -9.5 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.06000000000000069 y2[1] (analytic) = 0.05996400647944529 y2[1] (numeric) = 0.06000000647944456 absolute error = 3.599999999926579e-05 relative error = 0.06003601512451643 % Correct digits = 4 h = 0.0001 y1[1] (analytic) = 0.9982005399352041 y1[1] (numeric) = 0.9981999999352046 absolute error = 5.399999994937232e-07 relative error = 5.409734596304427e-05 % Correct digits = 7 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.06008 Order of pole (six term test) = -9.5 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.07000000000000098 y2[1] (analytic) = 0.06994284733753374 y2[1] (numeric) = 0.07000001400419931 absolute error = 5.716666666556736e-05 relative error = 0.08173339925623782 % Correct digits = 4 h = 0.0001 y1[1] (analytic) = 0.9975510002532795 y1[1] (numeric) = 0.9975499998366131 absolute error = 1.000416666396831e-06 relative error = 0.0001002872701388524 % Correct digits = 6 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.07012 Order of pole (six term test) = -9.5 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.08000000000000126 y2[1] (analytic) = 0.07991469396917394 y2[1] (numeric) = 0.08000002730250563 absolute error = 8.533333333168858e-05 relative error = 0.1067805294538259 % Correct digits = 3 h = 0.0001 y1[1] (analytic) = 0.9968017063026193 y1[1] (numeric) = 0.996799999635953 absolute error = 1.706666666323464e-06 relative error = 0.0001712142601213944 % Correct digits = 6 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.08018 Order of pole (six term test) = -9.5 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.09000000000000155 y2[1] (analytic) = 0.08987854919801259 y2[1] (numeric) = 0.09000004919800998 absolute error = 0.0001214999999973876 relative error = 0.1351824223705585 % Correct digits = 3 h = 0.0001 y1[1] (analytic) = 0.9959527330119942 y1[1] (numeric) = 0.9959499992619952 absolute error = 2.733749998928836e-06 relative error = 0.0002744859176862075 % Correct digits = 6 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.09025 Order of pole (six term test) = -9.5 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.1000000000000018 y2[1] (analytic) = 0.09983341664682999 y2[1] (numeric) = 0.100000083313492 absolute error = 0.0001666666666620548 relative error = 0.1669447688559569 % Correct digits = 3 h = 0.0001 y1[1] (analytic) = 0.9950041652780256 y1[1] (numeric) = 0.9949999986113599 absolute error = 4.166666665694763e-06 relative error = 0.0004187587159025115 % Correct digits = 6 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.1003 Order of pole (six term test) = -9.5 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.1100000000000021 y2[1] (analytic) = 0.1097783008371769 y2[1] (numeric) = 0.1100001341705016 absolute error = 0.0002218333333246919 relative error = 0.2020739359536225 % Correct digits = 3 h = 0.0001 y1[1] (analytic) = 0.9939560979566966 y1[1] (numeric) = 0.9939499975400309 absolute error = 6.100416665710817e-06 relative error = 0.0006137511182085019 % Correct digits = 6 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.1105 Order of pole (six term test) = -9.5 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.1200000000000024 y2[1] (analytic) = 0.1197122072889217 y2[1] (numeric) = 0.1200002072889051 absolute error = 0.0002879999999833849 relative error = 0.2405769691375798 % Correct digits = 3 h = 0.0001 y1[1] (analytic) = 0.9928086358538659 y1[1] (numeric) = 0.9927999958538668 absolute error = 8.639999999116021e-06 relative error = 0.0008702583445686068 % Correct digits = 6 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.1206 Order of pole (six term test) = -9.5 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.130000000000002 y2[1] (analytic) = 0.1296341426196969 y2[1] (numeric) = 0.1300003092863322 absolute error = 0.0003661666666353869 relative error = 0.2824615947895742 % Correct digits = 3 h = 0.0001 y1[1] (analytic) = 0.9915618937147878 y1[1] (numeric) = 0.991549993298122 absolute error = 1.190041666576658e-05 relative error = 0.001200168818628442 % Correct digits = 5 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.1308 Order of pole (six term test) = -9.5 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.1400000000000009 y2[1] (analytic) = 0.1395431146442374 y2[1] (numeric) = 0.1400004479775129 absolute error = 0.0004573333332755503 relative error = 0.3277362229168478 % Correct digits = 3 h = 0.0001 y1[1] (analytic) = 0.990215996212637 y1[1] (numeric) = 0.990199989545972 absolute error = 1.600666666501382e-05 relative error = 0.001616482335797026 % Correct digits = 5 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.141 Order of pole (six term test) = -9.5 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.1500999999999998 y2[1] (analytic) = 0.1495370088340372 y2[1] (numeric) = 0.1501006345840974 absolute error = 0.0005636257500601927 relative error = 0.3769138853684907 % Correct digits = 3 h = 0.0001 y1[1] (analytic) = 0.9887561291789645 y1[1] (numeric) = 0.988734979122692 absolute error = 2.115005627245647e-05 relative error = 0.002139056906784375 % Correct digits = 5 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.1513 Order of pole (six term test) = -9.5 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.1600999999999987 y2[1] (analytic) = 0.1594169285458266 y2[1] (numeric) = 0.1601008760124708 absolute error = 0.0006839474666441581 relative error = 0.429030638642337 % Correct digits = 3 h = 0.0001 y1[1] (analytic) = 0.9872113466188559 y1[1] (numeric) = 0.9871839716214994 absolute error = 2.737499735649962e-05 relative error = 0.002772962187910164 % Correct digits = 5 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.1615 Order of pole (six term test) = -9.5 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.1700999999999976 y2[1] (analytic) = 0.1692809066976086 y2[1] (numeric) = 0.1701011858807824 absolute error = 0.0008202791831738165 relative error = 0.4845668653223279 % Correct digits = 3 h = 0.0001 y1[1] (analytic) = 0.9855678437467588 y1[1] (numeric) = 0.9855329613744868 absolute error = 3.488237227200486e-05 relative error = 0.003539317206149419 % Correct digits = 5 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.1718 Order of pole (six term test) = -9.5 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.1800999999999965 y2[1] (analytic) = 0.1791279568997877 y2[1] (numeric) = 0.1801015777994086 absolute error = 0.0009736208996208584 relative error = 0.5435337489867905 % Correct digits = 3 h = 0.0001 y1[1] (analytic) = 0.9838257849115909 y1[1] (numeric) = 0.983781947630571 absolute error = 4.383728101986506e-05 relative error = 0.004455797123044949 % Correct digits = 5 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.1821 Order of pole (six term test) = -9.5 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.1900999999999954 y2[1] (analytic) = 0.1889570944555496 y2[1] (numeric) = 0.1901020670714944 absolute error = 0.001144972615944734 relative error = 0.6059431741601413 % Correct digits = 3 h = 0.0001 y1[1] (analytic) = 0.9819853443177838 y1[1] (numeric) = 0.9819309294941861 absolute error = 5.441482359769267e-05 relative error = 0.005541307099190606 % Correct digits = 5 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.1925 Order of pole (six term test) = -9.5 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.2000999999999943 y2[1] (analytic) = 0.1987673364593297 y2[1] (numeric) = 0.2001026707914185 absolute error = 0.001335334332088794 relative error = 0.671807730523179 % Correct digits = 3 h = 0.0001 y1[1] (analytic) = 0.9800467060078635 y1[1] (numeric) = 0.9799799059078591 absolute error = 6.680010000437164e-05 relative error = 0.006816011889522709 % Correct digits = 5 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.2029 Order of pole (six term test) = -9.5 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.2100999999999932 y2[1] (analytic) = 0.2085577018951028 y2[1] (numeric) = 0.2101034079430784 absolute error = 0.001545706047975548 relative error = 0.7411407173794923 % Correct digits = 3 h = 0.0001 y1[1] (analytic) = 0.9780100638440452 y1[1] (numeric) = 0.9779288756338063 absolute error = 8.118821023894718e-05 relative error = 0.00830136756669342 % Correct digits = 5 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.2133 Order of pole (six term test) = -9.5 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.2200999999999921 y2[1] (analytic) = 0.2183272117344839 y2[1] (numeric) = 0.2201042994979849 absolute error = 0.001777087763500995 relative error = 0.8139561483807066 % Correct digits = 3 h = 0.0001 y1[1] (analytic) = 0.9758756214888482 y1[1] (numeric) = 0.975777837234551 absolute error = 9.778425429718407e-05 relative error = 0.01002015545259745 % Correct digits = 4 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.2238 Order of pole (six term test) = -9.5 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.230099999999991 y2[1] (analytic) = 0.2280748890346302 y2[1] (numeric) = 0.2301053685131566 absolute error = 0.002030479478526331 relative error = 0.8902687565127037 % Correct digits = 3 h = 0.0001 y1[1] (analytic) = 0.9736435923847294 y1[1] (numeric) = 0.9735267890525545 absolute error = 0.0001168033321748974 relative error = 0.0119965183449534 % Correct digits = 4 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.2343 Order of pole (six term test) = -9.5 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.2400999999999899 y2[1] (analytic) = 0.2377997590359349 y2[1] (numeric) = 0.2401066402288044 absolute error = 0.002306881192869426 relative error = 0.9700939993470821 % Correct digits = 3 h = 0.0001 y1[1] (analytic) = 0.971314199732739 y1[1] (numeric) = 0.9711757291888732 absolute error = 0.0001384705438658429 relative error = 0.01425599913024474 % Correct digits = 4 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.2449 Order of pole (six term test) = -9.5 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.2500999999999888 y2[1] (analytic) = 0.2475008492595018 y2[1] (numeric) = 0.2501081421657963 absolute error = 0.002607292906294467 relative error = 1.053448064560276 % Correct digits = 3 h = 0.0001 y1[1] (analytic) = 0.9688876764702012 y1[1] (numeric) = 0.9687246554808381 absolute error = 0.0001630209893631607 relative error = 0.01682558188345112 % Correct digits = 4 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.2555 Order of pole (six term test) = -9.5 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.2600999999999877 y2[1] (analytic) = 0.2571771896043928 y2[1] (numeric) = 0.260109904222891 absolute error = 0.002932714618498145 relative error = 1.140347875723132 % Correct digits = 3 h = 0.0001 y1[1] (analytic) = 0.9663642652474201 y1[1] (numeric) = 0.9661735654787651 absolute error = 0.0001906997686550449 relative error = 0.01973373556049485 % Correct digits = 4 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.2662 Order of pole (six term test) = -9.5 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.2700999999999866 y2[1] (analytic) = 0.266827812444637 y2[1] (numeric) = 0.2701119587737328 absolute error = 0.003284146329095794 relative error = 1.230811098365995 % Correct digits = 3 h = 0.0001 y1[1] (analytic) = 0.9637442184034152 y1[1] (numeric) = 0.9635224564216872 absolute error = 0.0002217619817279637 relative error = 0.02301046039947666 % Correct digits = 4 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.2769 Order of pole (six term test) = -9.5 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.2800999999999855 y2[1] (analytic) = 0.2764517527259924 y2[1] (numeric) = 0.2801143407635949 absolute error = 0.003662588037602499 relative error = 1.32485614632102 % Correct digits = 3 h = 0.0001 y1[1] (analytic) = 0.9610277979406874 y1[1] (numeric) = 0.9607713252121233 absolute error = 0.0002564727285641055 relative error = 0.02668733715233641 % Correct digits = 4 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.2877 Order of pole (six term test) = -9.5 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.2900999999999844 y2[1] (analytic) = 0.286048048062451 y2[1] (numeric) = 0.2901170878058645 absolute error = 0.004069039743413549 relative error = 1.422502188347456 % Correct digits = 3 h = 0.0001 y1[1] (analytic) = 0.9582152754990194 y1[1] (numeric) = 0.9579201683898808 absolute error = 0.0002951071091386037 relative error = 0.03079757927934491 % Correct digits = 4 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.2985 Order of pole (six term test) = -9.5 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.3000999999999833 y2[1] (analytic) = 0.2956157388324759 y2[1] (numeric) = 0.3001202402782549 absolute error = 0.004504501445779019 relative error = 1.52376915504208 % Correct digits = 3 h = 0.0001 y1[1] (analytic) = 0.9553069323283117 y1[1] (numeric) = 0.9549689821048901 absolute error = 0.0003379502234215348 relative error = 0.03537608824818943 % Correct digits = 4 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.3094 Order of pole (six term test) = -9.5 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.3100999999999822 y2[1] (analytic) = 0.3051538682749632 y2[1] (numeric) = 0.3101238414187417 absolute error = 0.00496997314377845 relative error = 1.628677746041281 % Correct digits = 3 h = 0.0001 y1[1] (analytic) = 0.9523030592604574 y1[1] (numeric) = 0.9519177620890837 absolute error = 0.0003852971713736997 relative error = 0.0404595120877712 % Correct digits = 4 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.3203 Order of pole (six term test) = -9.5 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.3200999999999811 y2[1] (analytic) = 0.3146614825849171 y2[1] (numeric) = 0.3201279374212036 absolute error = 0.005466454836286549 relative error = 1.737249437516182 % Correct digits = 3 h = 0.0001 y1[1] (analytic) = 0.9492039566802606 y1[1] (numeric) = 0.9487665036273145 absolute error = 0.0004374530529460685 relative error = 0.04608630735969683 % Correct digits = 4 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.3313 Order of pole (six term test) = -9.5 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.33009999999998 y2[1] (analytic) = 0.3241376310088294 y2[1] (numeric) = 0.3301325775307687 absolute error = 0.005994946521939326 relative error = 1.849506489968771 % Correct digits = 3 h = 0.0001 y1[1] (analytic) = 0.9460099344953963 y1[1] (numeric) = 0.9455152015273193 absolute error = 0.0004947329680770052 relative error = 0.05229680472022705 % Correct digits = 4 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.3424 Order of pole (six term test) = -9.5 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.3400999999999789 y2[1] (analytic) = 0.3335813659397547 y2[1] (numeric) = 0.3401378141388453 absolute error = 0.006556448199090514 relative error = 1.965471956330624 % Correct digits = 3 h = 0.0001 y1[1] (analytic) = 0.9427213121054214 y1[1] (numeric) = 0.9421638500887313 absolute error = 0.0005574620166901578 relative error = 0.05913327825857179 % Correct digits = 4 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.3535 Order of pole (six term test) = -9.5 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.3500999999999778 y2[1] (analytic) = 0.3429917430120696 y2[1] (numeric) = 0.3501437028778371 absolute error = 0.007151959865767499 relative error = 2.08516969037235 % Correct digits = 3 h = 0.0001 y1[1] (analytic) = 0.9393384183698346 y1[1] (numeric) = 0.9387124430711429 absolute error = 0.0006259752986916833 relative error = 0.06664001881004994 % Correct digits = 4 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.3647 Order of pole (six term test) = -9.501 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.3600999999999767 y2[1] (analytic) = 0.3523678211959088 y2[1] (numeric) = 0.3601503027155253 absolute error = 0.007782481519616524 relative error = 2.208624355425927 % Correct digits = 3 h = 0.0001 y1[1] (analytic) = 0.9358615915751902 y1[1] (numeric) = 0.9351609736612261 absolute error = 0.0007006179139641411 relative error = 0.0748634114564847 % Correct digits = 4 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.376 Order of pole (six term test) = -9.501 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.3700999999999756 y2[1] (analytic) = 0.3617086628912672 y2[1] (numeric) = 0.3701576760491121 absolute error = 0.008449013157844854 relative error = 2.335861433427902 % Correct digits = 3 h = 0.0001 y1[1] (analytic) = 0.9322911794012703 y1[1] (numeric) = 0.9315094344389042 absolute error = 0.0007817449623660488 relative error = 0.08385201744245782 % Correct digits = 4 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.3873 Order of pole (six term test) = -9.501 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.3800999999999745 y2[1] (analytic) = 0.3710133340217595 y2[1] (numeric) = 0.3801658887989131 absolute error = 0.009152554777153654 relative error = 2.466907234287399 % Correct digits = 3 h = 0.0001 y1[1] (analytic) = 0.9286275388863171 y1[1] (numeric) = 0.9277578173425913 absolute error = 0.0008697215437257766 relative error = 0.093656660749994 % Correct digits = 4 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.3987 Order of pole (six term test) = -9.501 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.3900999999999734 y2[1] (analytic) = 0.3802809041280263 y2[1] (numeric) = 0.3901750105016902 absolute error = 0.009894106373663891 relative error = 2.601788905585677 % Correct digits = 3 h = 0.0001 y1[1] (analytic) = 0.9248710363913289 y1[1] (numeric) = 0.9239061136334942 absolute error = 0.0009649227578347741 relative error = 0.1043305195932743 % Correct digits = 3 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.4102 Order of pole (six term test) = -9.501 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.4000999999999723 y2[1] (analytic) = 0.38951044646078 y2[1] (numeric) = 0.4001851144036143 absolute error = 0.01067466794283428 relative error = 2.740534442613241 % Correct digits = 3 h = 0.0001 y1[1] (analytic) = 0.921022047563425 y1[1] (numeric) = 0.9199543138589829 absolute error = 0.001067733704442131 relative error = 0.1159292231132613 % Correct digits = 3 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.4217 Order of pole (six term test) = -9.501 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.4100999999999712 y2[1] (analytic) = 0.3987010380734786 y2[1] (numeric) = 0.4101962775528468 absolute error = 0.0114952394793682 relative error = 2.883172698750207 % Correct digits = 3 h = 0.0001 y1[1] (analytic) = 0.9170809572982805 y1[1] (numeric) = 0.9159024078150307 absolute error = 0.001178549483249802 relative error = 0.1285109535718425 % Correct digits = 3 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.4333 Order of pole (six term test) = -9.501 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.4200999999999701 y2[1] (analytic) = 0.4078517599146196 y2[1] (numeric) = 0.4202085808917336 absolute error = 0.01235682097711394 relative error = 3.029733396197857 % Correct digits = 3 h = 0.0001 y1[1] (analytic) = 0.9130481597016378 y1[1] (numeric) = 0.9117503845077368 absolute error = 0.001297775193900952 relative error = 0.1421365543658764 % Correct digits = 3 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.445 Order of pole (six term test) = -9.501 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.430099999999969 y2[1] (analytic) = 0.4169616969196445 y2[1] (numeric) = 0.4302221093485951 absolute error = 0.0132604124289506 relative error = 3.180247137066429 % Correct digits = 3 h = 0.0001 y1[1] (analytic) = 0.9089240580498958 y1[1] (numeric) = 0.9074982321139229 absolute error = 0.001425825935972957 relative error = 0.1568696442068085 % Correct digits = 3 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.4568 Order of pole (six term test) = -9.501 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.4400999999999679 y2[1] (analytic) = 0.4260299381024444 y2[1] (numeric) = 0.4402369519291095 absolute error = 0.01420701382666512 relative error = 3.334745414827832 % Correct digits = 3 h = 0.0001 y1[1] (analytic) = 0.9047090647497832 y1[1] (numeric) = 0.9031459379408162 absolute error = 0.001563126808966975 relative error = 0.172776737834421 % Correct digits = 3 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.4686 Order of pole (six term test) = -9.501 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.4500999999999667 y2[1] (analytic) = 0.4350555766464578 y2[1] (numeric) = 0.4502532018072729 absolute error = 0.01519762516081508 relative error = 3.493260626139549 % Correct digits = 3 h = 0.0001 y1[1] (analytic) = 0.9004036012971173 y1[1] (numeric) = 0.8986934883848217 absolute error = 0.001710112912295614 relative error = 0.1899273736613262 % Correct digits = 3 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.4806 Order of pole (six term test) = -9.501 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.4600999999999656 y2[1] (analytic) = 0.4440377099953516 y2[1] (numeric) = 0.4602709564159319 absolute error = 0.01623324642058022 relative error = 3.655826083048251 % Correct digits = 3 h = 0.0001 y1[1] (analytic) = 0.8960080982346554 y1[1] (numeric) = 0.8941408688893857 absolute error = 0.001867229345269728 relative error = 0.2083942487739345 % Correct digits = 3 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.4926 Order of pole (six term test) = -9.502 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.4700999999999645 y2[1] (analytic) = 0.4529754399432762 y2[1] (numeric) = 0.4702903175368751 absolute error = 0.0173148775935989 relative error = 3.822476025580361 % Correct digits = 3 h = 0.0001 y1[1] (analytic) = 0.8915229951090411 y1[1] (numeric) = 0.8894880639019555 absolute error = 0.002034931207085644 relative error = 0.2282533617471924 % Correct digits = 3 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.5047 Order of pole (six term test) = -9.502 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.4800999999999634 y2[1] (analytic) = 0.4618678727246847 y2[1] (numeric) = 0.480311391390473 absolute error = 0.01844351866578825 relative error = 3.993245634727719 % Correct digits = 3 h = 0.0001 y1[1] (analytic) = 0.8869487404268492 y1[1] (numeric) = 0.8847350568300428 absolute error = 0.002213683596806404 relative error = 0.2495841637636303 % Correct digits = 3 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.5168 Order of pole (six term test) = -9.502 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.4900999999999623 y2[1] (analytic) = 0.4707141191037093 y2[1] (numeric) = 0.4903342887248574 absolute error = 0.0196201696211481 relative error = 4.168171045837127 % Correct digits = 3 h = 0.0001 y1[1] (analytic) = 0.8822857916097363 y1[1] (numeric) = 0.8798818299963901 absolute error = 0.002403961613346217 relative error = 0.2724697185659278 % Correct digits = 3 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.5291 Order of pole (six term test) = -9.502 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 Finished! diff ( y2 , x , 5 ) = y1 ; diff ( y1 , x , 1 ) = m1 * y2 ; Iterations = 5001 Total Elapsed Time = 6 Seconds Elapsed Time(since restart) = 6 Seconds Time to Timeout = 2 Minutes 54 Seconds Percent Done = 100 %