##############ECHO OF PROBLEM################# ##############temp/chang3_1_smerer_hpostode.ode################# diff ( x , t , 2 ) = m1 * 0.58 * x * expt ( ( x * x + y * y ) , ( m1 * 1.5 ) ) ; diff ( y , t , 2 ) = m1 * 0.58 * y * expt ( ( x * x + y * y ) , ( m1 * 1.5 ) ) ; ! /* BEGIN FIRST INPUT BLOCK */ max_terms=30; Digits=16; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ t_start=1.00; t_end=10.2; array_x_init[0 + 1] = -1.000; array_x_init[1 + 1] = 0.000; array_y_init[0 + 1] = 0.000; array_y_init[1 + 1] = 4.300; glob_look_poles=true; glob_type_given_pole=0; glob_min_h=0.0001; glob_max_h=0.0001; glob_display_interval=0.1; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_desired_digits_correct=16; glob_max_minutes=3.0; glob_subiter_method=3; glob_max_iter=100000000; /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_x (double t) { return(0); } double exact_soln_y (double t) { return(0); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Optimize min_size = 0 min_size = 1 glob_desired_digits_correct = 16 estimated_h = 0.0001 estimated_answer = 1 desired_abs_gbl_error = 1e-16 range = 9.199999999999999 estimated_steps = 91999.99999999999 step_error = 1.098967455659645e-20 est_needed_step_err = 1.098967455659645e-20 opt_iter = 1 SETTING H FOR MAX H 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 START of Soultion TOP MAIN SOLVE Loop t[1] = 1 x[1] (closed_form) = 0 x[1] (numeric) = -1 absolute error = 1 relative error = -1 % Desired digits = 16 Estimated correct digits = 13 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 0 absolute error = 0 relative error = -1 % Desired digits = 16 Estimated correct digits = -16 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 1.099999999999989 x[1] (closed_form) = 0 x[1] (numeric) = -0.9972202064535766 absolute error = 0.9972202064535766 relative error = -1 % Desired digits = 16 Estimated correct digits = 12 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 0.4296146615801367 absolute error = 0.4296146615801367 relative error = -1 % Desired digits = 16 Estimated correct digits = 12 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 1.199999999999978 x[1] (closed_form) = 0 x[1] (numeric) = -0.9899688897774535 absolute error = 0.9899688897774535 relative error = -1 % Desired digits = 16 Estimated correct digits = 12 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 0.8574373009839608 absolute error = 0.8574373009839608 relative error = -1 % Desired digits = 16 Estimated correct digits = 12 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 1.299999999999967 x[1] (closed_form) = 0 x[1] (numeric) = -0.9800896097284187 absolute error = 0.9800896097284187 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 1.283099807538366 absolute error = 1.283099807538366 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 1.399999999999956 x[1] (closed_form) = 0 x[1] (numeric) = -0.9688083411447896 absolute error = 0.9688083411447896 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 1.706990674132786 absolute error = 1.706990674132786 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 1.499999999999945 x[1] (closed_form) = 0 x[1] (numeric) = -0.9567581139426394 absolute error = 0.9567581139426394 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 2.129559181037934 absolute error = 2.129559181037934 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 1.599999999999934 x[1] (closed_form) = 0 x[1] (numeric) = -0.9442590481193602 absolute error = 0.9442590481193602 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 2.551145846646811 absolute error = 2.551145846646811 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 1.699999999999923 x[1] (closed_form) = 0 x[1] (numeric) = -0.9314812320888912 absolute error = 0.9314812320888912 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 2.971989068365163 absolute error = 2.971989068365163 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 1.799999999999912 x[1] (closed_form) = 0 x[1] (numeric) = -0.9185208003177651 absolute error = 0.9185208003177651 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 3.392255415036189 absolute error = 3.392255415036189 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 1.899999999999901 x[1] (closed_form) = 0 x[1] (numeric) = -0.9054353098585425 absolute error = 0.9054353098585425 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 3.812063544251025 absolute error = 3.812063544251025 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 1.99999999999989 x[1] (closed_form) = 0 x[1] (numeric) = -0.8922609833577263 absolute error = 0.8922609833577263 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 4.231500063516344 absolute error = 4.231500063516344 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 2.100000000000101 x[1] (closed_form) = 0 x[1] (numeric) = -0.8790216031515596 absolute error = 0.8790216031515596 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 4.650629721904878 absolute error = 4.650629721904878 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 2.200000000000312 x[1] (closed_form) = 0 x[1] (numeric) = -0.8657333544362329 absolute error = 0.8657333544362329 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 5.069502005134161 absolute error = 5.069502005134161 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 2.300000000000523 x[1] (closed_form) = 0 x[1] (numeric) = -0.8524075940826477 absolute error = 0.8524075940826477 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 5.48815548657268 absolute error = 5.48815548657268 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 2.400000000000734 x[1] (closed_form) = 0 x[1] (numeric) = -0.8390525027794709 absolute error = 0.8390525027794709 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 5.906620763776334 absolute error = 5.906620763776334 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 2.500000000000945 x[1] (closed_form) = 0 x[1] (numeric) = -0.8256741084833044 absolute error = 0.8256741084833044 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 6.324922486143095 absolute error = 6.324922486143095 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 2.600000000001156 x[1] (closed_form) = 0 x[1] (numeric) = -0.8122769415584735 absolute error = 0.8122769415584735 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 6.74308078562116 absolute error = 6.74308078562116 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 2.700000000001367 x[1] (closed_form) = 0 x[1] (numeric) = -0.7988644664261135 absolute error = 0.7988644664261135 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 7.161112306631398 absolute error = 7.161112306631398 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 2.800000000001578 x[1] (closed_form) = 0 x[1] (numeric) = -0.7854393733072863 absolute error = 0.7854393733072863 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 7.579030961191881 absolute error = 7.579030961191881 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 2.900000000001789 x[1] (closed_form) = 0 x[1] (numeric) = -0.772003779923897 absolute error = 0.772003779923897 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 7.996848491891556 absolute error = 7.996848491891556 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 3.000000000002 x[1] (closed_form) = 0 x[1] (numeric) = -0.7585593737974714 absolute error = 0.7585593737974714 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 8.414574898041591 absolute error = 8.414574898041591 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 3.100000000002211 x[1] (closed_form) = 0 x[1] (numeric) = -0.7451075144798311 absolute error = 0.7451075144798311 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 8.832218762759821 absolute error = 8.832218762759821 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 3.200000000002422 x[1] (closed_form) = 0 x[1] (numeric) = -0.7316493082108355 absolute error = 0.7316493082108355 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 9.249787507214695 absolute error = 9.249787507214695 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 3.300000000002633 x[1] (closed_form) = 0 x[1] (numeric) = -0.7181856632551457 absolute error = 0.7181856632551457 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 9.667287590551467 absolute error = 9.667287590551467 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 3.400000000002844 x[1] (closed_form) = 0 x[1] (numeric) = -0.7047173314757074 absolute error = 0.7047173314757074 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 10.08472466878346 absolute error = 10.08472466878346 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 3.500000000003055 x[1] (closed_form) = 0 x[1] (numeric) = -0.6912449399547386 absolute error = 0.6912449399547386 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 10.50210372230961 absolute error = 10.50210372230961 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 3.600000000003266 x[1] (closed_form) = 0 x[1] (numeric) = -0.6777690153182662 absolute error = 0.6777690153182662 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 10.91942915917908 absolute error = 10.91942915917908 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 3.700000000003477 x[1] (closed_form) = 0 x[1] (numeric) = -0.6642900026434334 absolute error = 0.6642900026434334 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 11.33670489941431 absolute error = 11.33670489941431 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 3.800000000003688 x[1] (closed_form) = 0 x[1] (numeric) = -0.6508082802967556 absolute error = 0.6508082802967556 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 11.75393444440012 absolute error = 11.75393444440012 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 3.900000000003899 x[1] (closed_form) = 0 x[1] (numeric) = -0.6373241716828724 absolute error = 0.6373241716828724 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 12.17112093439417 absolute error = 12.17112093439417 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 4.00000000000411 x[1] (closed_form) = 0 x[1] (numeric) = -0.6238379546240524 absolute error = 0.6238379546240524 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 12.58826719651148 absolute error = 12.58826719651148 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 4.100000000003877 x[1] (closed_form) = 0 x[1] (numeric) = -0.6103498689058471 absolute error = 0.6103498689058471 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 13.0053757850107 absolute error = 13.0053757850107 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 4.200000000003644 x[1] (closed_form) = 0 x[1] (numeric) = -0.5968601223910138 absolute error = 0.5968601223910138 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 13.42244901531486 absolute error = 13.42244901531486 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 4.300000000003411 x[1] (closed_form) = 0 x[1] (numeric) = -0.5833688960065591 absolute error = 0.5833688960065591 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 13.83948899289791 absolute error = 13.83948899289791 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 4.400000000003178 x[1] (closed_form) = 0 x[1] (numeric) = -0.5698763478371469 absolute error = 0.5698763478371469 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 14.25649763793788 absolute error = 14.25649763793788 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 4.500000000002945 x[1] (closed_form) = 0 x[1] (numeric) = -0.5563826165048109 absolute error = 0.5563826165048109 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 14.67347670645868 absolute error = 14.67347670645868 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 4.600000000002712 x[1] (closed_form) = 0 x[1] (numeric) = -0.5428878239748289 absolute error = 0.5428878239748289 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 15.09042780854319 absolute error = 15.09042780854319 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 4.700000000002479 x[1] (closed_form) = 0 x[1] (numeric) = -0.5293920778973658 absolute error = 0.5293920778973658 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 15.50735242409048 absolute error = 15.50735242409048 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 4.800000000002246 x[1] (closed_form) = 0 x[1] (numeric) = -0.5158954735712827 absolute error = 0.5158954735712827 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 15.92425191650343 absolute error = 15.92425191650343 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 4.900000000002013 x[1] (closed_form) = 0 x[1] (numeric) = -0.5023980955987558 absolute error = 0.5023980955987558 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 16.34112754462461 absolute error = 16.34112754462461 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 5.00000000000178 x[1] (closed_form) = 0 x[1] (numeric) = -0.488900019285488 absolute error = 0.488900019285488 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 16.75798047318218 absolute error = 16.75798047318218 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 5.100000000001547 x[1] (closed_form) = 0 x[1] (numeric) = -0.4754013118305908 absolute error = 0.4754013118305908 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 17.17481178196323 absolute error = 17.17481178196323 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 5.200000000001314 x[1] (closed_form) = 0 x[1] (numeric) = -0.4619020333417151 absolute error = 0.4619020333417151 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 17.59162247389643 absolute error = 17.59162247389643 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 5.300000000001081 x[1] (closed_form) = 0 x[1] (numeric) = -0.4484022377043552 absolute error = 0.4484022377043552 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 18.00841348219526 absolute error = 18.00841348219526 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 5.400000000000848 x[1] (closed_form) = 0 x[1] (numeric) = -0.434901973328926 absolute error = 0.434901973328926 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 18.42518567669036 absolute error = 18.42518567669036 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 5.500000000000615 x[1] (closed_form) = 0 x[1] (numeric) = -0.4214012837949883 absolute error = 0.4214012837949883 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 18.84193986945888 absolute error = 18.84193986945888 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 5.600000000000382 x[1] (closed_form) = 0 x[1] (numeric) = -0.4079002084085874 absolute error = 0.4079002084085874 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 19.25867681984144 absolute error = 19.25867681984144 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 5.700000000000149 x[1] (closed_form) = 0 x[1] (numeric) = -0.3943987826859068 absolute error = 0.3943987826859068 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 19.67539723892668 absolute error = 19.67539723892668 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 5.799999999999915 x[1] (closed_form) = 0 x[1] (numeric) = -0.3808970387742291 absolute error = 0.3808970387742291 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 20.09210179356799 absolute error = 20.09210179356799 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 5.899999999999682 x[1] (closed_form) = 0 x[1] (numeric) = -0.3673950058193505 absolute error = 0.3673950058193505 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 20.50879110999097 absolute error = 20.50879110999097 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 5.999999999999449 x[1] (closed_form) = 0 x[1] (numeric) = -0.3538927102871514 absolute error = 0.3538927102871514 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 20.92546577703992 absolute error = 20.92546577703992 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 6.099999999999216 x[1] (closed_form) = 0 x[1] (numeric) = -0.3403901762457543 absolute error = 0.3403901762457543 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 21.34212634910661 absolute error = 21.34212634910661 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 6.199999999998983 x[1] (closed_form) = 0 x[1] (numeric) = -0.3268874256137133 absolute error = 0.3268874256137133 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 21.75877334877671 absolute error = 21.75877334877671 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 6.29999999999875 x[1] (closed_form) = 0 x[1] (numeric) = -0.3133844783788624 absolute error = 0.3133844783788624 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 22.17540726922765 absolute error = 22.17540726922765 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 6.399999999998517 x[1] (closed_form) = 0 x[1] (numeric) = -0.2998813527917079 absolute error = 0.2998813527917079 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 22.5920285764033 absolute error = 22.5920285764033 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 6.499999999998284 x[1] (closed_form) = 0 x[1] (numeric) = -0.2863780655367312 absolute error = 0.2863780655367312 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 23.00863771099218 absolute error = 23.00863771099218 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 6.599999999998051 x[1] (closed_form) = 0 x[1] (numeric) = -0.2728746318844164 absolute error = 0.2728746318844164 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 23.42523509022817 absolute error = 23.42523509022817 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 6.699999999997818 x[1] (closed_form) = 0 x[1] (numeric) = -0.2593710658264672 absolute error = 0.2593710658264672 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 23.84182110953381 absolute error = 23.84182110953381 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 6.799999999997585 x[1] (closed_form) = 0 x[1] (numeric) = -0.2458673801962971 absolute error = 0.2458673801962971 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 24.25839614402175 absolute error = 24.25839614402175 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 6.899999999997352 x[1] (closed_form) = 0 x[1] (numeric) = -0.2323635867766026 absolute error = 0.2323635867766026 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 24.67496054986919 absolute error = 24.67496054986919 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 6.999999999997119 x[1] (closed_form) = 0 x[1] (numeric) = -0.2188596963955775 absolute error = 0.2188596963955775 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 25.09151466557753 absolute error = 25.09151466557753 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 7.099999999996886 x[1] (closed_form) = 0 x[1] (numeric) = -0.2053557190131205 absolute error = 0.2053557190131205 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 25.50805881312911 absolute error = 25.50805881312911 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 7.199999999996653 x[1] (closed_form) = 0 x[1] (numeric) = -0.1918516637982068 absolute error = 0.1918516637982068 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 25.92459329905057 absolute error = 25.92459329905057 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 7.29999999999642 x[1] (closed_form) = 0 x[1] (numeric) = -0.1783475391984407 absolute error = 0.1783475391984407 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 26.3411184153916 absolute error = 26.3411184153916 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 7.399999999996187 x[1] (closed_form) = 0 x[1] (numeric) = -0.1648433530026805 absolute error = 0.1648433530026805 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 26.75763444062789 absolute error = 26.75763444062789 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 7.499999999995953 x[1] (closed_form) = 0 x[1] (numeric) = -0.1513391123975123 absolute error = 0.1513391123975123 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 27.17414164049399 absolute error = 27.17414164049399 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 7.59999999999572 x[1] (closed_form) = 0 x[1] (numeric) = -0.1378348240182481 absolute error = 0.1378348240182481 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 27.59064026875346 absolute error = 27.59064026875346 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 7.699999999995487 x[1] (closed_form) = 0 x[1] (numeric) = -0.1243304939950508 absolute error = 0.1243304939950508 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 28.00713056791165 absolute error = 28.00713056791165 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 7.799999999995254 x[1] (closed_form) = 0 x[1] (numeric) = -0.1108261279947036 absolute error = 0.1108261279947036 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 28.42361276987585 absolute error = 28.42361276987585 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 7.899999999995021 x[1] (closed_form) = 0 x[1] (numeric) = -0.09732173125848823 absolute error = 0.09732173125848823 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 28.84008709656776 absolute error = 28.84008709656776 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 7.999999999994788 x[1] (closed_form) = 0 x[1] (numeric) = -0.08381730863657934 absolute error = 0.08381730863657934 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 29.25655376049235 absolute error = 29.25655376049235 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 8.099999999994555 x[1] (closed_form) = 0 x[1] (numeric) = -0.07031286461931449 absolute error = 0.07031286461931449 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 29.67301296526651 absolute error = 29.67301296526651 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 8.199999999994322 x[1] (closed_form) = 0 x[1] (numeric) = -0.05680840336565606 absolute error = 0.05680840336565606 relative error = -1 % Desired digits = 16 Estimated correct digits = 9 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 30.08946490611121 absolute error = 30.08946490611121 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 8.299999999994089 x[1] (closed_form) = 0 x[1] (numeric) = -0.04330392872913181 absolute error = 0.04330392872913181 relative error = -1 % Desired digits = 16 Estimated correct digits = 9 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 30.50590977030976 absolute error = 30.50590977030976 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 8.399999999993856 x[1] (closed_form) = 0 x[1] (numeric) = -0.02979944428149975 absolute error = 0.02979944428149975 relative error = -1 % Desired digits = 16 Estimated correct digits = 9 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 30.92234773763539 absolute error = 30.92234773763539 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 8.499999999993623 x[1] (closed_form) = 0 x[1] (numeric) = -0.01629495333436457 absolute error = 0.01629495333436457 relative error = -1 % Desired digits = 16 Estimated correct digits = 9 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 31.33877898075002 absolute error = 31.33877898075002 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 8.59999999999339 x[1] (closed_form) = 0 x[1] (numeric) = -0.002790458958942354 absolute error = 0.002790458958942354 relative error = -1 % Desired digits = 16 Estimated correct digits = 8 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 31.75520366557738 absolute error = 31.75520366557738 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 8.699999999993157 x[1] (closed_form) = 0 x[1] (numeric) = 0.01071403599584821 absolute error = 0.01071403599584821 relative error = -1 % Desired digits = 16 Estimated correct digits = 9 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 32.17162195165134 absolute error = 32.17162195165134 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 8.799999999992924 x[1] (closed_form) = 0 x[1] (numeric) = 0.02421852888681002 absolute error = 0.02421852888681002 relative error = -1 % Desired digits = 16 Estimated correct digits = 9 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 32.58803399244211 absolute error = 32.58803399244211 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 8.899999999992691 x[1] (closed_form) = 0 x[1] (numeric) = 0.03772301726126509 absolute error = 0.03772301726126509 relative error = -1 % Desired digits = 16 Estimated correct digits = 9 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 33.00443993566228 absolute error = 33.00443993566228 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 8.999999999992458 x[1] (closed_form) = 0 x[1] (numeric) = 0.05122749884309809 absolute error = 0.05122749884309809 relative error = -1 % Desired digits = 16 Estimated correct digits = 9 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 33.42083992355307 absolute error = 33.42083992355307 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 9.099999999992225 x[1] (closed_form) = 0 x[1] (numeric) = 0.06473197151993285 absolute error = 0.06473197151993285 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 33.83723409315323 absolute error = 33.83723409315323 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 9.199999999991991 x[1] (closed_form) = 0 x[1] (numeric) = 0.07823643333133701 absolute error = 0.07823643333133701 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 34.25362257655171 absolute error = 34.25362257655171 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 9.299999999991758 x[1] (closed_form) = 0 x[1] (numeric) = 0.09174088245796594 absolute error = 0.09174088245796594 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 34.67000550112544 absolute error = 34.67000550112544 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 9.399999999991525 x[1] (closed_form) = 0 x[1] (numeric) = 0.1052453172115598 absolute error = 0.1052453172115598 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 35.08638298976143 absolute error = 35.08638298976143 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 9.499999999991292 x[1] (closed_form) = 0 x[1] (numeric) = 0.1187497360257204 absolute error = 0.1187497360257204 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 35.50275516106813 absolute error = 35.50275516106813 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 9.599999999991059 x[1] (closed_form) = 0 x[1] (numeric) = 0.1322541374474002 absolute error = 0.1322541374474002 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 35.91912212957271 absolute error = 35.91912212957271 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 9.699999999990826 x[1] (closed_form) = 0 x[1] (numeric) = 0.1457585201290428 absolute error = 0.1457585201290428 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 36.335484005908 absolute error = 36.335484005908 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 9.799999999990593 x[1] (closed_form) = 0 x[1] (numeric) = 0.1592628828213165 absolute error = 0.1592628828213165 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 36.75184089698831 absolute error = 36.75184089698831 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 9.89999999999036 x[1] (closed_form) = 0 x[1] (numeric) = 0.1727672243663969 absolute error = 0.1727672243663969 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 37.16819290617565 absolute error = 37.16819290617565 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 9.999999999990127 x[1] (closed_form) = 0 x[1] (numeric) = 0.1862715436917453 absolute error = 0.1862715436917453 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 37.58454013343641 absolute error = 37.58454013343641 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 10.09999999998989 x[1] (closed_form) = 0 x[1] (numeric) = 0.1997758398043493 absolute error = 0.1997758398043493 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 38.00088267549031 absolute error = 38.00088267549031 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] = 10.19999999998966 x[1] (closed_form) = 0 x[1] (numeric) = 0.2132801117853829 absolute error = 0.2132801117853829 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.0001 y[1] (closed_form) = 0 y[1] (numeric) = 38.41722062595007 absolute error = 38.41722062595007 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 Finished! diff ( x , t , 2 ) = m1 * 0.58 * x * expt ( ( x * x + y * y ) , ( m1 * 1.5 ) ) ; diff ( y , t , 2 ) = m1 * 0.58 * y * expt ( ( x * x + y * y ) , ( m1 * 1.5 ) ) ; Iterations = 92001 Total Elapsed Time = 1 Minutes 43.0 Seconds Elapsed Time(since restart) = 1 Minutes 43.0 Seconds Time to Timeout = 1 Minutes 17.0 Seconds Percent Done = 100 %