##############ECHO OF PROBLEM################# ##############temp/mtest6postode.ode################# diff ( x1 , t , 1 ) = 4.0 * x2 - 2.0 * diff ( x2 , t , 1 ) - 2.0 * x1 ; diff ( x2 , t , 2 ) = 3.0 * diff ( x2 , t , 1 ) - 2.0 * x2 - diff ( x1 , t , 2 ) - diff ( x1 , t , 1 ) + x1 ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=64; max_terms=40; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ t_start=c(1.5); t_end=c(8.0); array_x1_init[0 + 1] = exact_soln_x1(t_start); array_x2_init[0 + 1] = exact_soln_x2(t_start); array_x2_init[1 + 1] = exact_soln_x2p(t_start); glob_look_poles=true; glob_max_h=c(0.0001); glob_type_given_pole=0; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_desired_digits_correct=8; glob_max_minutes=(20.0); glob_subiter_method=3; glob_max_iter=1000; glob_upper_ratio_limit=c(1.11); glob_lower_ratio_limit=c(0.99); /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_x1 (double t) { double c1,c2,c3; c1 = c(1.0); c2 = c(0.0002); c3 = c(0.0003); return(c(2.0) * c1 + c(6.0) * c3 * exp(glob__m1 * c(t))); } double exact_soln_x1p (double t) { double c1,c2,c3; c1 = c(1.0); c2 = c(0.0002); c3 = c(0.0003); return( glob__m1 * c(6.0) * c3 * exp(glob__m1 * c(t))); } double exact_soln_x2 (double t) { double c1,c2,c3; c1 = c(1.0); c2 = c(0.0002); c3 = c(0.0003); return(c1 + c2 * exp(c(2.0) * c(t)) + c3 * exp(glob__m1 * c(t))); } double exact_soln_x2p (double t) { double c1,c2,c3; c1 = c(1.0); c2 = c(0.0002); c3 = c(0.0003); return( c(2.0) * c2 * exp(c(2.0) * c(t)) - c3 * exp(glob__m1 * c(t))); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop t[1] = 1.5 x1[1] (closed_form) = 2.000401634288267 x1[1] (numeric) = 2.000401634288267 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.05 x2[1] (closed_form) = 1.004084046432682 x2[1] (numeric) = 1.004084046432682 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 35 Order of pole (ratio test) = 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 Radius of convergence (ratio test) for eq 2 = 17.5 Order of pole (ratio test) = 1 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 1.6 x1[1] (closed_form) = 2.00036341373239 x1[1] (numeric) = -189.4129843426775 absolute error = 191.4133477564099 relative error = 9568.928647783061 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 0 h = 0.05 x2[1] (closed_form) = 1.00496707499482 x2[1] (numeric) = 11.60111805622448 absolute error = 10.59615098122966 relative error = 1054.377923902061 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 0 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 35 Order of pole (ratio test) = 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 Radius of convergence (ratio test) for eq 2 = 17.5 Order of pole (ratio test) = 1 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 1.7 x1[1] (closed_form) = 2.000328830343295 x1[1] (numeric) = -2534083477.684783 absolute error = 2534083479.685112 relative error = 126683345320.2898 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -8 h = 0.05 x2[1] (closed_form) = 1.006047625066695 x2[1] (numeric) = 140281403.935776 absolute error = 140281402.9297284 relative error = 13943813337.9052 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -7 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 35 Order of pole (ratio test) = 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 Radius of convergence (ratio test) for eq 2 = 17.5 Order of pole (ratio test) = 1 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 1.8 x1[1] (closed_form) = 2.000297537998799 x1[1] (numeric) = -3.35481990934713e+16 absolute error = 3.35481990934713e+16 relative error = 1.677160445192301e+18 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -15 h = 0.05 x2[1] (closed_form) = 1.007369236555202 x2[1] (numeric) = 1857156037809101 absolute error = 1857156037809100 relative error = 1.843570331926978e+17 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -14 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 35 Order of pole (ratio test) = 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 Radius of convergence (ratio test) for eq 2 = 17.5 Order of pole (ratio test) = 1 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 1.9 x1[1] (closed_form) = 2.000269223514601 x1[1] (numeric) = -4.441375635166057e+23 absolute error = 4.441375635166057e+23 relative error = 2.220388927127657e+25 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -22 h = 0.05 x2[1] (closed_form) = 1.008985107484427 x2[1] (numeric) = 2.458649882828449e+22 absolute error = 2.458649882828449e+22 relative error = 2.436755373880874e+24 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -21 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 35 Order of pole (ratio test) = 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 Radius of convergence (ratio test) for eq 2 = 17.5 Order of pole (ratio test) = 1 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 2 x1[1] (closed_form) = 2.000243603509826 x1[1] (numeric) = -5.879843945627914e+30 absolute error = 5.879843945627914e+30 relative error = 2.939563928768754e+32 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -29 h = 0.05 x2[1] (closed_form) = 1.0109602305916 x2[1] (numeric) = 3.254954954384787e+29 absolute error = 3.254954954384787e+29 relative error = 3.219666665304958e+31 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -28 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 35 Order of pole (ratio test) = 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 Radius of convergence (ratio test) for eq 2 = 17.5 Order of pole (ratio test) = 1 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 2.1 x1[1] (closed_form) = 2.000220421570855 x1[1] (numeric) = -7.784201937615349e+37 absolute error = 7.784201937615349e+37 relative error = 3.891672064572811e+39 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -36 h = 0.05 x2[1] (closed_form) = 1.013374003136661 x2[1] (numeric) = 4.309166518205434e+36 absolute error = 4.309166518205434e+36 relative error = 4.252296294228411e+38 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -35 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 35 Order of pole (ratio test) = 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 Radius of convergence (ratio test) for eq 2 = 17.5 Order of pole (ratio test) = 1 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 2.2 x1[1] (closed_form) = 2.000199445685052 x1[1] (numeric) = -1.030534149645765e+45 absolute error = 1.030534149645765e+45 relative error = 5.152156960491584e+46 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -43 h = 0.05 x2[1] (closed_form) = 1.016323414680502 x2[1] (numeric) = 5.704815071744192e+43 absolute error = 5.704815071744192e+43 relative error = 5.613188665477703e+45 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -42 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 35 Order of pole (ratio test) = 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 Radius of convergence (ratio test) for eq 2 = 17.5 Order of pole (ratio test) = 1 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 2.299999999999999 x1[1] (closed_form) = 2.000180465918701 x1[1] (numeric) = -1.364302522079042e+52 absolute error = 1.364302522079042e+52 relative error = 6.820897140660779e+53 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -50 h = 0.05 x2[1] (closed_form) = 1.019926940781503 x2[1] (numeric) = 7.552484886648817e+50 absolute error = 7.552484886648817e+50 relative error = 7.404927338091334e+52 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -49 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 35 Order of pole (ratio test) = 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 Radius of convergence (ratio test) for eq 2 = 17.5 Order of pole (ratio test) = 1 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 2.399999999999999 x1[1] (closed_form) = 2.000163292315921 x1[1] (numeric) = -1.806171462043294e+59 absolute error = 1.806171462043294e+59 relative error = 9.030120035609638e+60 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -57 h = 0.05 x2[1] (closed_form) = 1.024329298889734 x2[1] (numeric) = 9.998576158160959e+57 absolute error = 9.998576158160959e+57 relative error = 9.761095547104214e+59 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -56 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 35 Order of pole (ratio test) = 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 Radius of convergence (ratio test) for eq 2 = 17.5 Order of pole (ratio test) = 1.006 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 2.499999999999999 x1[1] (closed_form) = 2.000147752997523 x1[1] (numeric) = -2.391152473520539e+66 absolute error = 2.391152473520539e+66 relative error = 1.195487918298554e+68 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -65 h = 0.05 x2[1] (closed_form) = 1.029707257320102 x2[1] (numeric) = 1.323690503072348e+65 absolute error = 1.323690503072348e+65 relative error = 1.285501771170732e+67 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -64 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 35 Order of pole (ratio test) = 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 Radius of convergence (ratio test) for eq 2 = 17.5 Order of pole (ratio test) = 7.881e+04 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 2.599999999999998 x1[1] (closed_form) = 2.000133692440786 x1[1] (numeric) = -3.165596551478646e+73 absolute error = 3.165596551478646e+73 relative error = 1.582692478729075e+75 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -72 h = 0.05 x2[1] (closed_form) = 1.036276730448494 x2[1] (numeric) = 1.752406062831053e+72 absolute error = 1.752406062831053e+72 relative error = 1.691059937312905e+74 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -71 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 35 Order of pole (ratio test) = 2407 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 = 17.5 Order of pole (ratio test) = 1.043e+12 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 2.699999999999998 x1[1] (closed_form) = 2.000120969922932 x1[1] (numeric) = -4.190866804900727e+80 absolute error = 4.190866804900727e+80 relative error = 2.095306667907296e+82 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -79 h = 0.05 x2[1] (closed_form) = 1.044301444894659 x2[1] (numeric) = 2.319973590442224e+79 absolute error = 2.319973590442224e+79 relative error = 2.221555473071517e+81 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -78 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 35 Order of pole (ratio test) = 3.185e+10 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 = 17.5 Order of pole (ratio test) = 1.381e+19 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 2.799999999999998 x1[1] (closed_form) = 2.000109458112725 x1[1] (numeric) = -5.54820056529788e+87 absolute error = 5.54820056529788e+87 relative error = 2.773948467066939e+89 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -86 h = 0.05 x2[1] (closed_form) = 1.054103524504018 x2[1] (numeric) = 3.0713643227496e+86 absolute error = 3.0713643227496e+86 relative error = 2.913721708875562e+88 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -85 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 35 Order of pole (ratio test) = 4.216e+17 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 = 17.5 Order of pole (ratio test) = 1.829e+26 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 2.899999999999997 x1[1] (closed_form) = 2.000099041796101 x1[1] (numeric) = -7.345146230077064e+94 absolute error = 7.345146230077064e+94 relative error = 3.672391254925595e+96 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -93 h = 0.05 x2[1] (closed_form) = 1.066076418947946 x2[1] (numeric) = 4.066114735927215e+93 absolute error = 4.066114735927215e+93 relative error = 3.814093120960171e+95 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -92 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 35 Order of pole (ratio test) = 5.582e+24 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 = 17.5 Order of pole (ratio test) = 2.421e+33 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 2.999999999999997 x1[1] (closed_form) = 2.000089616723062 x1[1] (numeric) = -9.724084864318295e+101 absolute error = 9.724084864318295e+101 relative error = 4.861824581765587e+103 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -100 h = 0.05 x2[1] (closed_form) = 1.080700694819057 x2[1] (numeric) = 5.383043920664949e+100 absolute error = 5.383043920664949e+100 relative error = 4.981068251803279e+102 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -99 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 35 Order of pole (ratio test) = 7.389e+31 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 = 17.5 Order of pole (ratio test) = 3.205e+40 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 3.099999999999997 x1[1] (closed_form) = 2.000081088564309 x1[1] (numeric) = -1.28735117704351e+109 absolute error = 1.28735117704351e+109 relative error = 6.436494922151342e+110 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -107 h = 0.05 x2[1] (closed_form) = 1.098563322979369 x2[1] (numeric) = 7.126498816123556e+107 absolute error = 7.126498816123556e+107 relative error = 6.487107904527587e+109 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -106 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 35 Order of pole (ratio test) = 9.783e+38 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 = 17.5 Order of pole (ratio test) = 4.243e+47 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 3.199999999999996 x1[1] (closed_form) = 2.000073371967161 x1[1] (numeric) = -1.704297192136336e+116 absolute error = 1.704297192136336e+116 relative error = 8.52117335305596e+117 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -114 h = 0.05 x2[1] (closed_form) = 1.120381236235609 x2[1] (numeric) = 9.434622144033506e+114 absolute error = 9.434622144033506e+114 relative error = 8.420903384398939e+116 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -113 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 35 Order of pole (ratio test) = 1.295e+46 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 = 17.5 Order of pole (ratio test) = 5.617e+54 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 3.299999999999996 x1[1] (closed_form) = 2.000066389701322 x1[1] (numeric) = -2.256283266695323e+123 absolute error = 2.256283266695323e+123 relative error = 1.128104186097674e+125 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -122 h = 0.05 x2[1] (closed_form) = 1.147030102798614 x2[1] (numeric) = 1.249029815304247e+122 absolute error = 1.249029815304247e+122 relative error = 1.08892505284453e+124 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -121 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 35 Order of pole (ratio test) = 1.715e+53 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 = 17.5 Order of pole (ratio test) = 7.437e+61 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 3.399999999999995 x1[1] (closed_form) = 2.000060071885929 x1[1] (numeric) = -2.987046040478413e+130 absolute error = 2.987046040478413e+130 relative error = 1.493478162214308e+132 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -129 h = 0.05 x2[1] (closed_form) = 1.17957947031107 x2[1] (numeric) = 1.653564345982379e+129 absolute error = 1.653564345982379e+129 relative error = 1.401825300966211e+131 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -128 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 35 Order of pole (ratio test) = 2.27e+60 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 = 17.5 Order of pole (ratio test) = 9.845e+68 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 3.499999999999995 x1[1] (closed_form) = 2.00005435529016 x1[1] (numeric) = -3.954487532501212e+137 absolute error = 3.954487532501212e+137 relative error = 1.977190030881691e+139 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -136 h = 0.05 x2[1] (closed_form) = 1.219335690900716 x2[1] (numeric) = 2.189119116934848e+136 absolute error = 2.189119116934848e+136 relative error = 1.795337521300437e+138 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -135 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 35 Order of pole (ratio test) = 3.005e+67 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 = 17.5 Order of pole (ratio test) = 1.303e+76 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 3.599999999999995 x1[1] (closed_form) = 2.000049182700405 x1[1] (numeric) = -5.235263009941052e+144 absolute error = 5.235263009941052e+144 relative error = 2.617567135460419e+146 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -143 h = 0.05 x2[1] (closed_form) = 1.267894349995615 x2[1] (numeric) = 2.898128832889504e+143 absolute error = 2.898128832889504e+143 relative error = 2.285781013930322e+145 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -142 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 35 Order of pole (ratio test) = 3.978e+74 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 = 17.5 Order of pole (ratio test) = 1.726e+83 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 3.699999999999994 x1[1] (closed_form) = 2.000044502347647 x1[1] (numeric) = -6.930854771445326e+151 absolute error = 6.930854771445326e+151 relative error = 3.465350277611278e+153 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -150 h = 0.05 x2[1] (closed_form) = 1.327204303057123 x2[1] (numeric) = 3.836771908412993e+150 absolute error = 3.836771908412993e+150 relative error = 2.890867592559229e+152 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -149 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 35 Order of pole (ratio test) = 5.267e+81 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 = 17.5 Order of pole (ratio test) = 2.284e+90 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 3.799999999999994 x1[1] (closed_form) = 2.000040267389341 x1[1] (numeric) = -9.175613101319098e+158 absolute error = 9.175613101319098e+158 relative error = 4.587714183022952e+160 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -157 h = 0.05 x2[1] (closed_form) = 1.399645890252376 x2[1] (numeric) = 5.079421766944039e+157 absolute error = 5.079421766944039e+157 relative error = 3.629076327318868e+159 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -156 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 35 Order of pole (ratio test) = 6.973e+88 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 = 17.5 Order of pole (ratio test) = 3.024e+97 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 3.899999999999994 x1[1] (closed_form) = 2.000036435440602 x1[1] (numeric) = -1.214740151993428e+166 absolute error = 1.214740151993428e+166 relative error = 6.073590113001239e+167 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -164 h = 0.05 x2[1] (closed_form) = 1.488126468098327 x2[1] (numeric) = 6.7245398221175e+164 absolute error = 6.7245398221175e+164 relative error = 4.518795926471741e+166 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -163 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 35 Order of pole (ratio test) = 9.231e+95 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 = 17.5 Order of pole (ratio test) = 4.004e+104 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 3.999999999999993 x1[1] (closed_form) = 2.00003296815 x1[1] (numeric) = -1.608168980722262e+173 absolute error = 1.608168980722262e+173 relative error = 8.040712359905719e+174 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -171 h = 0.05 x2[1] (closed_form) = 1.596197092100004 x2[1] (numeric) = 8.902477072001375e+171 absolute error = 8.902477072001375e+171 relative error = 5.577304404363381e+173 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -170 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 35 Order of pole (ratio test) = 1.222e+103 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 = 17.5 Order of pole (ratio test) = 5.3e+111 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 4.099999999999993 x1[1] (closed_form) = 2.000029830815723 x1[1] (numeric) = -2.129021146055995e+180 absolute error = 2.129021146055995e+180 relative error = 1.064494695655445e+182 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -179 h = 0.05 x2[1] (closed_form) = 1.728195033269082 x2[1] (numeric) = 1.178580246589332e+179 absolute error = 1.178580246589332e+179 relative error = 6.819717820620687e+180 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -177 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 35 Order of pole (ratio test) = 1.618e+110 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 = 17.5 Order of pole (ratio test) = 7.017e+118 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 4.199999999999993 x1[1] (closed_form) = 2.000026992038277 x1[1] (numeric) = -2.818566391149912e+187 absolute error = 2.818566391149912e+187 relative error = 1.409264176118664e+189 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -186 h = 0.05 x2[1] (closed_form) = 1.889417848213005 x2[1] (numeric) = 1.560297641225259e+186 absolute error = 1.560297641225259e+186 relative error = 8.258086704859779e+187 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -184 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 35 Order of pole (ratio test) = 2.142e+117 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 = 17.5 Order of pole (ratio test) = 9.29e+125 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 4.299999999999993 x1[1] (closed_form) = 2.000024423406222 x1[1] (numeric) = -3.731440862406021e+194 absolute error = 3.731440862406021e+194 relative error = 1.86569764785724e+196 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -193 h = 0.05 x2[1] (closed_form) = 2.086335988840284 x2[1] (numeric) = 2.065645284874184e+193 absolute error = 2.065645284874184e+193 relative error = 9.900827555692022e+194 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -191 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 35 Order of pole (ratio test) = 2.836e+124 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 = 17.5 Order of pole (ratio test) = 1.23e+133 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 4.399999999999992 x1[1] (closed_form) = 2.000022099211825 x1[1] (numeric) = -4.939976206823654e+201 absolute error = 4.939976206823654e+201 relative error = 2.469960811318242e+203 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -200 h = 0.05 x2[1] (closed_form) = 2.326852484457528 x2[1] (numeric) = 2.73466441926572e+200 absolute error = 2.73466441926572e+200 relative error = 1.17526333857957e+202 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -199 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 35 Order of pole (ratio test) = 3.754e+131 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 = 17.5 Order of pole (ratio test) = 1.628e+140 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 4.499999999999992 x1[1] (closed_form) = 2.000019996193769 x1[1] (numeric) = -6.539930773081752e+208 absolute error = 6.539930773081752e+208 relative error = 3.269932693437002e+210 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -207 h = 0.05 x2[1] (closed_form) = 2.620620118214013 x2[1] (numeric) = 3.620364803559884e+207 absolute error = 3.620364803559884e+207 relative error = 1.381491647109544e+209 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -206 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 35 Order of pole (ratio test) = 4.97e+138 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 = 17.5 Order of pole (ratio test) = 2.156e+147 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 4.599999999999992 x1[1] (closed_form) = 2.000018093304341 x1[1] (numeric) = -8.658077028310775e+215 absolute error = 8.658077028310775e+215 relative error = 4.328999351204012e+217 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -214 h = 0.05 x2[1] (closed_form) = 2.979428827299473 x2[1] (numeric) = 4.792924944836393e+214 absolute error = 4.792924944836393e+214 relative error = 1.60867240758379e+216 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -213 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 35 Order of pole (ratio test) = 6.579e+145 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 = 17.5 Order of pole (ratio test) = 2.854e+154 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 4.699999999999991 x1[1] (closed_form) = 2.000016371498783 x1[1] (numeric) = -1.146224637984033e+223 absolute error = 1.146224637984033e+223 relative error = 5.73107627676602e+224 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -221 h = 0.05 x2[1] (closed_form) = 3.417678874626485 x2[1] (numeric) = 6.34525269504514e+221 absolute error = 6.34525269504514e+221 relative error = 1.856597102247825e+223 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -220 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 35 Order of pole (ratio test) = 8.71e+152 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 = 17.5 Order of pole (ratio test) = 3.778e+161 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 4.799999999999991 x1[1] (closed_form) = 2.000014813544688 x1[1] (numeric) = -1.517462730379476e+230 absolute error = 1.517462730379476e+230 relative error = 7.587257454808693e+231 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -228 h = 0.05 x2[1] (closed_form) = 3.952958782039516 x2[1] (numeric) = 8.400346808550327e+228 absolute error = 8.400346808550327e+228 relative error = 2.125078269654053e+230 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -227 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 35 Order of pole (ratio test) = 1.153e+160 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 = 17.5 Order of pole (ratio test) = 5.002e+168 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 4.899999999999991 x1[1] (closed_form) = 2.000013403849528 x1[1] (numeric) = -2.008937045831332e+237 absolute error = 2.008937045831332e+237 relative error = 1.004461791088314e+239 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -236 h = 0.05 x2[1] (closed_form) = 4.606751219540556 x2[1] (numeric) = 1.112104275358881e+236 absolute error = 1.112104275358881e+236 relative error = 2.414074957296683e+237 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -234 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 35 Order of pole (ratio test) = 1.527e+167 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 = 17.5 Order of pole (ratio test) = 6.621e+175 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 4.99999999999999 x1[1] (closed_form) = 2.000012128304598 x1[1] (numeric) = -2.659589572327931e+244 absolute error = 2.659589572327931e+244 relative error = 1.329786722134757e+246 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -243 h = 0.05 x2[1] (closed_form) = 5.405295180345357 x2[1] (numeric) = 1.472291498742224e+243 absolute error = 1.472291498742224e+243 relative error = 2.723794815305824e+244 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -241 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 35 Order of pole (ratio test) = 2.021e+174 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 = 17.5 Order of pole (ratio test) = 8.766e+182 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 5.09999999999999 x1[1] (closed_form) = 2.000010974143818 x1[1] (numeric) = -3.520974790082765e+251 absolute error = 3.520974790082765e+251 relative error = 1.760477735173456e+253 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -250 h = 0.05 x2[1] (closed_form) = 6.380639043883373 x2[1] (numeric) = 1.949135800749545e+250 absolute error = 1.949135800749545e+250 relative error = 3.054765811612603e+251 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -248 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 35 Order of pole (ratio test) = 2.676e+181 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 = 17.5 Order of pole (ratio test) = 1.161e+190 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 5.19999999999999 x1[1] (closed_form) = 2.000009929815957 x1[1] (numeric) = -4.661344592935474e+258 absolute error = 4.661344592935474e+258 relative error = 2.330660724951708e+260 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -257 h = 0.05 x2[1] (closed_form) = 7.571926789857851 x2[1] (numeric) = 2.580419959640574e+257 absolute error = 2.580419959640574e+257 relative error = 3.407877586847372e+258 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -255 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 35 Order of pole (ratio test) = 3.542e+188 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 = 17.5 Order of pole (ratio test) = 1.536e+197 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 5.299999999999989 x1[1] (closed_form) = 2.000008984869032 x1[1] (numeric) = -6.171056230021467e+265 absolute error = 6.171056230021467e+265 relative error = 3.085514253540001e+267 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -264 h = 0.05 x2[1] (closed_form) = 9.026968983653157 x2[1] (numeric) = 3.416163802209622e+264 absolute error = 3.416163802209622e+264 relative error = 3.784397407807557e+265 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -262 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 35 Order of pole (ratio test) = 4.689e+195 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 = 17.5 Order of pole (ratio test) = 2.034e+204 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 5.399999999999989 x1[1] (closed_form) = 2.000008129845697 x1[1] (numeric) = -8.169731766195114e+272 absolute error = 8.169731766195114e+272 relative error = 4.084849278500393e+274 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -271 h = 0.05 x2[1] (closed_form) = 10.80416158225041 x2[1] (numeric) = 4.522587526858549e+271 absolute error = 4.522587526858549e+271 relative error = 4.185968057242379e+272 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -269 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 35 Order of pole (ratio test) = 6.208e+202 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 = 17.5 Order of pole (ratio test) = 2.693e+211 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 5.499999999999988 x1[1] (closed_form) = 2.000007356188589 x1[1] (numeric) = -1.081573634135324e+280 absolute error = 1.081573634135324e+280 relative error = 5.407848280100714e+281 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -278 h = 0.05 x2[1] (closed_form) = 12.97482956907072 x2[1] (numeric) = 5.987358663793207e+278 absolute error = 5.987358663793207e+278 relative error = 4.614595229879411e+279 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -276 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 35 Order of pole (ratio test) = 8.219e+209 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 = 17.5 Order of pole (ratio test) = 3.565e+218 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 5.599999999999988 x1[1] (closed_form) = 2.00000665615469 x1[1] (numeric) = -1.431872623893382e+287 absolute error = 1.431872623893382e+287 relative error = 7.159339292632007e+288 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -285 h = 0.05 x2[1] (closed_form) = 15.62608947604187 x2[1] (numeric) = 7.926538415454479e+285 absolute error = 7.926538415454479e+285 relative error = 5.072630889262189e+286 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -283 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 35 Order of pole (ratio test) = 1.088e+217 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 = 17.5 Order of pole (ratio test) = 4.719e+225 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 5.699999999999988 x1[1] (closed_form) = 2.000006022737824 x1[1] (numeric) = -1.895626101032337e+294 absolute error = 1.895626101032337e+294 relative error = 9.478101963100093e+295 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -292 h = 0.05 x2[1] (closed_form) = 18.86434567595031 x2[1] (numeric) = 1.04937777707592e+293 absolute error = 1.04937777707592e+293 relative error = 5.562757357726672e+293 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -290 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 35 Order of pole (ratio test) = 1.44e+224 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 = 17.5 Order of pole (ratio test) = 6.248e+232 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 5.799999999999987 x1[1] (closed_form) = 2.000005449598542 x1[1] (numeric) = -2.509579591754684e+301 absolute error = 2.509579591754684e+301 relative error = 1.254786376836338e+303 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -300 h = 0.05 x2[1] (closed_form) = 22.81956076356739 x2[1] (numeric) = 1.389249204764827e+300 absolute error = 1.389249204764827e+300 relative error = 6.087975220727455e+300 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -297 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 35 Order of pole (ratio test) = 1.907e+231 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 = 17.5 Order of pole (ratio test) = 8.272e+239 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 5.899999999999987 x1[1] (closed_form) = 2.000004931000674 x1[1] (numeric) = -nan absolute error = nan relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = 16 h = 0.05 x2[1] (closed_form) = 27.65047141093895 x2[1] (numeric) = -nan absolute error = nan relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = 16 h = 0.05 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 t[1] = 5.999999999999987 x1[1] (closed_form) = 2.000004461753918 x1[1] (numeric) = -nan absolute error = nan relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = 16 h = 0.05 x2[1] (closed_form) = 33.55095902742557 x2[1] (numeric) = -nan absolute error = nan relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = 16 h = 0.05 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 t[1] = 6.099999999999986 x1[1] (closed_form) = 2.000004037161895 x1[1] (numeric) = -nan absolute error = nan relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = 16 h = 0.05 x2[1] (closed_form) = 40.75783090145013 x2[1] (numeric) = -nan absolute error = nan relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = 16 h = 0.05 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 t[1] = 6.199999999999986 x1[1] (closed_form) = 2.000003652975145 x1[1] (numeric) = -nan absolute error = nan relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = 16 h = 0.05 x2[1] (closed_form) = 49.56032410849254 x2[1] (numeric) = -nan absolute error = nan relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = 16 h = 0.05 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 t[1] = 6.299999999999986 x1[1] (closed_form) = 2.000003305348599 x1[1] (numeric) = -nan absolute error = nan relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = 16 h = 0.05 x2[1] (closed_form) = 60.31171361053032 x2[1] (numeric) = -nan absolute error = nan relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = 16 h = 0.05 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 t[1] = 6.399999999999985 x1[1] (closed_form) = 2.000002990803092 x1[1] (numeric) = -nan absolute error = nan relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = 16 h = 0.05 x2[1] (closed_form) = 73.44349042071464 x2[1] (numeric) = -nan absolute error = nan relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = 16 h = 0.05 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 t[1] = 6.499999999999985 x1[1] (closed_form) = 2.000002706190547 x1[1] (numeric) = -nan absolute error = nan relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = 16 h = 0.05 x2[1] (closed_form) = 89.48267885281319 x2[1] (numeric) = -nan absolute error = nan relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = 16 h = 0.05 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 t[1] = 6.599999999999985 x1[1] (closed_form) = 2.000002448662467 x1[1] (numeric) = -nan absolute error = nan relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = 16 h = 0.05 x2[1] (closed_form) = 109.0729878574455 x2[1] (numeric) = -nan absolute error = nan relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = 16 h = 0.05 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 t[1] = 6.699999999999984 x1[1] (closed_form) = 2.000002215641425 x1[1] (numeric) = -nan absolute error = nan relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = 16 h = 0.05 x2[1] (closed_form) = 133.0006453225007 x2[1] (numeric) = -nan absolute error = nan relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = 16 h = 0.05 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 t[1] = 6.799999999999984 x1[1] (closed_form) = 2.000002004795266 x1[1] (numeric) = -nan absolute error = nan relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = 16 h = 0.05 x2[1] (closed_form) = 162.2259521589254 x2[1] (numeric) = -nan absolute error = nan relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = 16 h = 0.05 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 t[1] = 6.899999999999983 x1[1] (closed_form) = 2.000001814013772 x1[1] (numeric) = -nan absolute error = nan relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = 16 h = 0.05 x2[1] (closed_form) = 197.9218225481361 x2[1] (numeric) = -nan absolute error = nan relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = 16 h = 0.05 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 t[1] = 6.999999999999983 x1[1] (closed_form) = 2.000001641387538 x1[1] (numeric) = -nan absolute error = nan relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = 16 h = 0.05 x2[1] (closed_form) = 241.5208571065118 x2[1] (numeric) = -nan absolute error = nan relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = 16 h = 0.05 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 t[1] = 7.099999999999983 x1[1] (closed_form) = 2.000001485188862 x1[1] (numeric) = -nan absolute error = nan relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = 16 h = 0.05 x2[1] (closed_form) = 294.7728381783404 x2[1] (numeric) = -nan absolute error = nan relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = 16 h = 0.05 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 t[1] = 7.199999999999982 x1[1] (closed_form) = 2.000001343854455 x1[1] (numeric) = -nan absolute error = nan relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = 16 h = 0.05 x2[1] (closed_form) = 359.814954745206 x2[1] (numeric) = -nan absolute error = nan relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = 16 h = 0.05 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 t[1] = 7.299999999999982 x1[1] (closed_form) = 2.000001215969796 x1[1] (numeric) = -nan absolute error = nan relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = 16 h = 0.05 x2[1] (closed_form) = 439.2575753240079 x2[1] (numeric) = -nan absolute error = nan relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = 16 h = 0.05 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 t[1] = 7.399999999999982 x1[1] (closed_form) = 2.00000110025497 x1[1] (numeric) = -nan absolute error = nan relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = 16 h = 0.05 x2[1] (closed_form) = 536.2890112211755 x2[1] (numeric) = -nan absolute error = nan relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = 16 h = 0.05 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 t[1] = 7.499999999999981 x1[1] (closed_form) = 2.000000995551866 x1[1] (numeric) = -nan absolute error = nan relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = 16 h = 0.05 x2[1] (closed_form) = 654.803474660323 x2[1] (numeric) = -nan absolute error = nan relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = 16 h = 0.05 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 t[1] = 7.599999999999981 x1[1] (closed_form) = 2.00000090081258 x1[1] (numeric) = -nan absolute error = nan relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = 16 h = 0.05 x2[1] (closed_form) = 799.5573671922946 x2[1] (numeric) = -nan absolute error = nan relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = 16 h = 0.05 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 t[1] = 7.699999999999981 x1[1] (closed_form) = 2.000000815088929 x1[1] (numeric) = -nan absolute error = nan relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = 16 h = 0.05 x2[1] (closed_form) = 976.3601707902637 x2[1] (numeric) = -nan absolute error = nan relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = 16 h = 0.05 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 t[1] = 7.79999999999998 x1[1] (closed_form) = 2.000000737522962 x1[1] (numeric) = -nan absolute error = nan relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = 16 h = 0.05 x2[1] (closed_form) = 1192.307602759797 x2[1] (numeric) = -nan absolute error = nan relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = 16 h = 0.05 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 t[1] = 7.89999999999998 x1[1] (closed_form) = 2.000000667338373 x1[1] (numeric) = -nan absolute error = nan relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = 16 h = 0.05 x2[1] (closed_form) = 1456.066391789082 x2[1] (numeric) = -nan absolute error = nan relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = 16 h = 0.05 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 t[1] = 7.99999999999998 x1[1] (closed_form) = 2.00000060383273 x1[1] (numeric) = -nan absolute error = nan relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = 16 h = 0.05 x2[1] (closed_form) = 1778.222104202141 x2[1] (numeric) = -nan absolute error = nan relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = 16 h = 0.05 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 Finished! diff ( x1 , t , 1 ) = 4.0 * x2 - 2.0 * diff ( x2 , t , 1 ) - 2.0 * x1 ; diff ( x2 , t , 2 ) = 3.0 * diff ( x2 , t , 1 ) - 2.0 * x2 - diff ( x1 , t , 2 ) - diff ( x1 , t , 1 ) + x1 ; Iterations = 131 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 20 Minutes 0.0 Seconds Percent Done = 101.5 %