##############ECHO OF PROBLEM################# ##############temp/add_lin_linpostode.ode################# diff ( y , x , 1 ) = ( 0.1 * x + 0.2 ) + ( 0.3 * x + 0.1 ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=c(-5.0); x_end=c(5.0); array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_type_given_pole=3; /* 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_y (double x) { return(c(0.4) * c(x) * c(x) / c(2.0) + c(0.3)* c(x)); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] = -5 y[1] (closed_form) = 3.5 y[1] (numeric) = 3.5 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.9 y[1] (closed_form) = 3.332000000000001 y[1] (numeric) = 3.332 absolute error = 4.440892098500626e-16 relative error = 1.332800749850128e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.800000000000001 y[1] (closed_form) = 3.168000000000001 y[1] (numeric) = 3.168 absolute error = 8.881784197001252e-16 relative error = 2.803593496528172e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.700000000000001 y[1] (closed_form) = 3.008000000000002 y[1] (numeric) = 3.008 absolute error = 1.332267629550188e-15 relative error = 4.42908121525993e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.600000000000001 y[1] (closed_form) = 2.852000000000003 y[1] (numeric) = 2.852 absolute error = 2.220446049250313e-15 relative error = 7.785575207750039e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.500000000000002 y[1] (closed_form) = 2.700000000000003 y[1] (numeric) = 2.7 absolute error = 2.664535259100376e-15 relative error = 9.868649107779159e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.400000000000002 y[1] (closed_form) = 2.552000000000003 y[1] (numeric) = 2.552 absolute error = 3.108624468950438e-15 relative error = 1.218113036422584e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.300000000000002 y[1] (closed_form) = 2.408000000000004 y[1] (numeric) = 2.408 absolute error = 3.996802888650564e-15 relative error = 1.65980186405754e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.200000000000003 y[1] (closed_form) = 2.268000000000004 y[1] (numeric) = 2.268 absolute error = 4.440892098500626e-15 relative error = 1.95806529916253e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.100000000000003 y[1] (closed_form) = 2.132000000000005 y[1] (numeric) = 2.132 absolute error = 4.884981308350689e-15 relative error = 2.291267030183245e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.000000000000004 y[1] (closed_form) = 2.000000000000004 y[1] (numeric) = 2 absolute error = 4.884981308350689e-15 relative error = 2.442490654175339e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.900000000000004 y[1] (closed_form) = 1.872000000000005 y[1] (numeric) = 1.871999999999999 absolute error = 5.551115123125783e-15 relative error = 2.965339275174021e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.800000000000004 y[1] (closed_form) = 1.748000000000005 y[1] (numeric) = 1.747999999999999 absolute error = 5.995204332975845e-15 relative error = 3.429750762571984e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.700000000000005 y[1] (closed_form) = 1.628000000000006 y[1] (numeric) = 1.627999999999999 absolute error = 6.439293542825908e-15 relative error = 3.955340014020814e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.600000000000005 y[1] (closed_form) = 1.512000000000006 y[1] (numeric) = 1.511999999999999 absolute error = 7.105427357601002e-15 relative error = 4.699356717990062e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.500000000000005 y[1] (closed_form) = 1.400000000000006 y[1] (numeric) = 1.399999999999999 absolute error = 6.661338147750939e-15 relative error = 4.758098676964937e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.400000000000006 y[1] (closed_form) = 1.292000000000006 y[1] (numeric) = 1.291999999999999 absolute error = 7.327471962526033e-15 relative error = 5.671417927651701e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.300000000000006 y[1] (closed_form) = 1.188000000000006 y[1] (numeric) = 1.187999999999999 absolute error = 7.549516567451064e-15 relative error = 6.354811925463826e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.200000000000006 y[1] (closed_form) = 1.088000000000007 y[1] (numeric) = 1.087999999999998 absolute error = 8.43769498715119e-15 relative error = 7.755234363190384e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.100000000000007 y[1] (closed_form) = 0.9920000000000067 y[1] (numeric) = 0.991999999999998 absolute error = 8.659739592076221e-15 relative error = 8.72957620168968e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.000000000000007 y[1] (closed_form) = 0.9000000000000064 y[1] (numeric) = 0.8999999999999978 absolute error = 8.548717289613705e-15 relative error = 9.498574766237383e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.900000000000007 y[1] (closed_form) = 0.8120000000000066 y[1] (numeric) = 0.8119999999999976 absolute error = 8.992806499463768e-15 relative error = 1.107488485155627e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.800000000000008 y[1] (closed_form) = 0.7280000000000066 y[1] (numeric) = 0.7279999999999972 absolute error = 9.436895709313831e-15 relative error = 1.296276883147492e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.700000000000008 y[1] (closed_form) = 0.6480000000000067 y[1] (numeric) = 0.6479999999999968 absolute error = 9.880984919163893e-15 relative error = 1.524843351722807e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.600000000000009 y[1] (closed_form) = 0.5720000000000062 y[1] (numeric) = 0.5719999999999964 absolute error = 9.769962616701378e-15 relative error = 1.708035422500222e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.500000000000009 y[1] (closed_form) = 0.5000000000000062 y[1] (numeric) = 0.499999999999996 absolute error = 1.021405182655144e-14 relative error = 2.042810365310263e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.400000000000009 y[1] (closed_form) = 0.4320000000000063 y[1] (numeric) = 0.4319999999999956 absolute error = 1.06581410364015e-14 relative error = 2.467162276944756e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.30000000000001 y[1] (closed_form) = 0.3680000000000061 y[1] (numeric) = 0.3679999999999952 absolute error = 1.088018564132653e-14 relative error = 2.956572185143031e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.20000000000001 y[1] (closed_form) = 0.3080000000000058 y[1] (numeric) = 0.3079999999999948 absolute error = 1.099120794378905e-14 relative error = 3.56857400772365e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.10000000000001 y[1] (closed_form) = 0.2520000000000057 y[1] (numeric) = 0.2519999999999945 absolute error = 1.121325254871408e-14 relative error = 4.449703392346758e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.000000000000011 y[1] (closed_form) = 0.2000000000000053 y[1] (numeric) = 0.199999999999994 absolute error = 1.126876369994534e-14 relative error = 5.634381849972521e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.900000000000011 y[1] (closed_form) = 0.1520000000000049 y[1] (numeric) = 0.1519999999999936 absolute error = 1.13242748511766e-14 relative error = 7.450180823142257e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.80000000000001 y[1] (closed_form) = 0.1080000000000044 y[1] (numeric) = 0.1079999999999932 absolute error = 1.126876369994534e-14 relative error = 1.043404046291192e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.70000000000001 y[1] (closed_form) = 0.06800000000000395 y[1] (numeric) = 0.06799999999999273 absolute error = 1.121325254871408e-14 relative error = 1.649007727751975e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.60000000000001 y[1] (closed_form) = 0.03200000000000347 y[1] (numeric) = 0.03199999999999231 absolute error = 1.115774139748282e-14 relative error = 3.486794186713004e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.50000000000001 y[1] (closed_form) = 3.05311331771918e-15 y[1] (numeric) = -8.097689185859736e-15 absolute error = 1.115080250357892e-14 relative error = 365.2272727272727 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 1 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.40000000000001 y[1] (closed_form) = -0.02799999999999736 y[1] (numeric) = -0.02800000000000851 absolute error = 1.114733305662696e-14 relative error = 3.981190377367148e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.30000000000001 y[1] (closed_form) = -0.05199999999999777 y[1] (numeric) = -0.05200000000000891 absolute error = 1.114386360967501e-14 relative error = 2.143050694168363e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.20000000000001 y[1] (closed_form) = -0.07199999999999823 y[1] (numeric) = -0.07200000000000932 absolute error = 1.108835245844375e-14 relative error = 1.54004895256167e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.10000000000001 y[1] (closed_form) = -0.08799999999999861 y[1] (numeric) = -0.08800000000000972 absolute error = 1.111610803405938e-14 relative error = 1.263194094779495e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.00000000000001 y[1] (closed_form) = -0.09999999999999903 y[1] (numeric) = -0.1000000000000101 absolute error = 1.108835245844375e-14 relative error = 1.108835245844386e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9000000000000097 y[1] (closed_form) = -0.1079999999999994 y[1] (numeric) = -0.1080000000000105 absolute error = 1.108835245844375e-14 relative error = 1.02669930170776e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8000000000000096 y[1] (closed_form) = -0.1119999999999998 y[1] (numeric) = -0.1120000000000109 absolute error = 1.108835245844375e-14 relative error = 9.90031469503908e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7000000000000095 y[1] (closed_form) = -0.1120000000000002 y[1] (numeric) = -0.1120000000000113 absolute error = 1.110223024625157e-14 relative error = 9.912705577010309e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6000000000000094 y[1] (closed_form) = -0.1080000000000006 y[1] (numeric) = -0.1080000000000117 absolute error = 1.111610803405938e-14 relative error = 1.0292692624129e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5000000000000093 y[1] (closed_form) = -0.1000000000000009 y[1] (numeric) = -0.1000000000000121 absolute error = 1.112998582186719e-14 relative error = 1.112998582186709e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4000000000000093 y[1] (closed_form) = -0.0880000000000013 y[1] (numeric) = -0.08800000000001244 absolute error = 1.114386360967501e-14 relative error = 1.26634813746305e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3000000000000094 y[1] (closed_form) = -0.07200000000000169 y[1] (numeric) = -0.07200000000001282 absolute error = 1.112998582186719e-14 relative error = 1.545831364148185e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2000000000000094 y[1] (closed_form) = -0.05200000000000207 y[1] (numeric) = -0.05200000000001319 absolute error = 1.112304692796329e-14 relative error = 2.139047486146701e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1000000000000094 y[1] (closed_form) = -0.02800000000000244 y[1] (numeric) = -0.02800000000001356 absolute error = 1.111263858710743e-14 relative error = 3.968799495395163e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -9.395262345890387e-15 y[1] (closed_form) = -2.818578703767098e-15 y[1] (numeric) = -1.392982951209376e-14 absolute error = 1.111125080832666e-14 relative error = 394.2146725750893 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 1 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.09999999999999061 y[1] (closed_form) = 0.03199999999999681 y[1] (numeric) = 0.0319999999999857 absolute error = 1.110916914015547e-14 relative error = 3.471615356298932e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1999999999999906 y[1] (closed_form) = 0.06799999999999644 y[1] (numeric) = 0.06799999999998532 absolute error = 1.111610803405938e-14 relative error = 1.6347217697147e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2999999999999906 y[1] (closed_form) = 0.1079999999999961 y[1] (numeric) = 0.107999999999985 absolute error = 1.110223024625157e-14 relative error = 1.027984282060368e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3999999999999906 y[1] (closed_form) = 0.1519999999999957 y[1] (numeric) = 0.1519999999999846 absolute error = 1.107447467063594e-14 relative error = 7.285838599102798e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4999999999999906 y[1] (closed_form) = 0.1999999999999953 y[1] (numeric) = 0.1999999999999842 absolute error = 1.110223024625157e-14 relative error = 5.551115123125914e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5999999999999907 y[1] (closed_form) = 0.251999999999995 y[1] (numeric) = 0.2519999999999838 absolute error = 1.115774139748282e-14 relative error = 4.427675157731368e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6999999999999907 y[1] (closed_form) = 0.3079999999999946 y[1] (numeric) = 0.3079999999999834 absolute error = 1.121325254871408e-14 relative error = 3.64066641192022e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7999999999999908 y[1] (closed_form) = 0.3679999999999943 y[1] (numeric) = 0.367999999999983 absolute error = 1.13242748511766e-14 relative error = 3.077248600863253e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8999999999999909 y[1] (closed_form) = 0.4319999999999939 y[1] (numeric) = 0.4319999999999826 absolute error = 1.13242748511766e-14 relative error = 2.621359919253878e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.999999999999991 y[1] (closed_form) = 0.4999999999999937 y[1] (numeric) = 0.4999999999999822 absolute error = 1.143529715363911e-14 relative error = 2.287059430727852e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.099999999999991 y[1] (closed_form) = 0.5719999999999933 y[1] (numeric) = 0.571999999999982 absolute error = 1.13242748511766e-14 relative error = 1.979768330625302e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.199999999999991 y[1] (closed_form) = 0.647999999999993 y[1] (numeric) = 0.6479999999999817 absolute error = 1.13242748511766e-14 relative error = 1.74757327950258e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.299999999999991 y[1] (closed_form) = 0.7279999999999928 y[1] (numeric) = 0.7279999999999814 absolute error = 1.13242748511766e-14 relative error = 1.55553225977702e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.399999999999991 y[1] (closed_form) = 0.8119999999999925 y[1] (numeric) = 0.8119999999999812 absolute error = 1.13242748511766e-14 relative error = 1.394615129455259e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.499999999999991 y[1] (closed_form) = 0.8999999999999921 y[1] (numeric) = 0.8999999999999809 absolute error = 1.121325254871408e-14 relative error = 1.245916949857131e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.599999999999991 y[1] (closed_form) = 0.9919999999999919 y[1] (numeric) = 0.9919999999999807 absolute error = 1.121325254871408e-14 relative error = 1.130368200475219e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.699999999999992 y[1] (closed_form) = 1.087999999999992 y[1] (numeric) = 1.08799999999998 absolute error = 1.13242748511766e-14 relative error = 1.040834085586092e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.799999999999992 y[1] (closed_form) = 1.187999999999991 y[1] (numeric) = 1.18799999999998 absolute error = 1.13242748511766e-14 relative error = 9.532217888195858e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.899999999999992 y[1] (closed_form) = 1.291999999999991 y[1] (numeric) = 1.29199999999998 absolute error = 1.154631945610163e-14 relative error = 8.936779764784603e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.999999999999992 y[1] (closed_form) = 1.399999999999991 y[1] (numeric) = 1.399999999999979 absolute error = 1.176836406102666e-14 relative error = 8.40597432930481e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.099999999999992 y[1] (closed_form) = 1.511999999999991 y[1] (numeric) = 1.511999999999979 absolute error = 1.176836406102666e-14 relative error = 7.783309564171119e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.199999999999991 y[1] (closed_form) = 1.62799999999999 y[1] (numeric) = 1.627999999999979 absolute error = 1.13242748511766e-14 relative error = 6.955942783278051e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.299999999999991 y[1] (closed_form) = 1.747999999999989 y[1] (numeric) = 1.747999999999978 absolute error = 1.06581410364015e-14 relative error = 6.097334689016917e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.399999999999991 y[1] (closed_form) = 1.871999999999988 y[1] (numeric) = 1.871999999999978 absolute error = 1.043609643147647e-14 relative error = 5.574837837327209e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.49999999999999 y[1] (closed_form) = 1.999999999999987 y[1] (numeric) = 1.999999999999978 absolute error = 9.547918011776346e-15 relative error = 4.773959005888203e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.59999999999999 y[1] (closed_form) = 2.131999999999986 y[1] (numeric) = 2.131999999999977 absolute error = 8.881784197001252e-15 relative error = 4.165940054878663e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.69999999999999 y[1] (closed_form) = 2.267999999999986 y[1] (numeric) = 2.267999999999977 absolute error = 8.43769498715119e-15 relative error = 3.720324068408837e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.799999999999989 y[1] (closed_form) = 2.407999999999984 y[1] (numeric) = 2.407999999999976 absolute error = 7.993605777301127e-15 relative error = 3.319603728115108e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.899999999999989 y[1] (closed_form) = 2.551999999999984 y[1] (numeric) = 2.551999999999976 absolute error = 7.549516567451064e-15 relative error = 2.958274517026298e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.999999999999988 y[1] (closed_form) = 2.699999999999983 y[1] (numeric) = 2.699999999999975 absolute error = 7.549516567451064e-15 relative error = 2.796117247204116e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.099999999999988 y[1] (closed_form) = 2.851999999999982 y[1] (numeric) = 2.851999999999975 absolute error = 6.661338147750939e-15 relative error = 2.335672562325029e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.199999999999988 y[1] (closed_form) = 3.007999999999981 y[1] (numeric) = 3.007999999999974 absolute error = 6.661338147750939e-15 relative error = 2.214540607629981e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.299999999999987 y[1] (closed_form) = 3.16799999999998 y[1] (numeric) = 3.167999999999974 absolute error = 5.773159728050814e-15 relative error = 1.822335772743324e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.399999999999987 y[1] (closed_form) = 3.331999999999979 y[1] (numeric) = 3.331999999999973 absolute error = 5.329070518200751e-15 relative error = 1.599360899820164e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.499999999999987 y[1] (closed_form) = 3.499999999999978 y[1] (numeric) = 3.499999999999973 absolute error = 4.884981308350689e-15 relative error = 1.395708945243063e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.599999999999986 y[1] (closed_form) = 3.671999999999977 y[1] (numeric) = 3.671999999999972 absolute error = 4.440892098500626e-15 relative error = 1.209393273012161e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.699999999999986 y[1] (closed_form) = 3.847999999999975 y[1] (numeric) = 3.847999999999972 absolute error = 3.108624468950438e-15 relative error = 8.078545917230921e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.799999999999986 y[1] (closed_form) = 4.027999999999974 y[1] (numeric) = 4.027999999999971 absolute error = 2.664535259100376e-15 relative error = 6.615032917329675e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.899999999999985 y[1] (closed_form) = 4.211999999999973 y[1] (numeric) = 4.21199999999997 absolute error = 2.664535259100376e-15 relative error = 6.326057120371302e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.999999999999985 y[1] (closed_form) = 4.399999999999972 y[1] (numeric) = 4.39999999999997 absolute error = 1.77635683940025e-15 relative error = 4.037174635000595e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.099999999999985 y[1] (closed_form) = 4.59199999999997 y[1] (numeric) = 4.591999999999969 absolute error = 8.881784197001252e-16 relative error = 1.934186454050808e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.199999999999984 y[1] (closed_form) = 4.787999999999968 y[1] (numeric) = 4.787999999999968 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.299999999999984 y[1] (closed_form) = 4.987999999999968 y[1] (numeric) = 4.987999999999968 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.399999999999983 y[1] (closed_form) = 5.191999999999966 y[1] (numeric) = 5.191999999999967 absolute error = 8.881784197001252e-16 relative error = 1.710667218220591e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.499999999999983 y[1] (closed_form) = 5.399999999999965 y[1] (numeric) = 5.399999999999967 absolute error = 1.77635683940025e-15 relative error = 3.289549702593078e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.599999999999983 y[1] (closed_form) = 5.611999999999963 y[1] (numeric) = 5.611999999999965 absolute error = 2.664535259100376e-15 relative error = 4.74792455292301e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.699999999999982 y[1] (closed_form) = 5.827999999999962 y[1] (numeric) = 5.827999999999965 absolute error = 2.664535259100376e-15 relative error = 4.571954802848993e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.799999999999982 y[1] (closed_form) = 6.047999999999961 y[1] (numeric) = 6.047999999999965 absolute error = 3.552713678800501e-15 relative error = 5.874195897487639e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.899999999999982 y[1] (closed_form) = 6.271999999999959 y[1] (numeric) = 6.271999999999964 absolute error = 4.440892098500626e-15 relative error = 7.080503983578851e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.999999999999981 y[1] (closed_form) = 6.499999999999957 y[1] (numeric) = 6.499999999999963 absolute error = 5.329070518200751e-15 relative error = 8.19857002800121e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = ( 0.1 * x + 0.2 ) + ( 0.3 * x + 0.1 ) ; Iterations = 201 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 20 Minutes 0.0 Seconds Percent Done = 101 %