##############ECHO OF PROBLEM################# ##############temp/chang3_1_smer_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=0.001; glob_max_h=0.001; 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 = 0.001 estimated_answer = 1 desired_abs_gbl_error = 1e-16 range = 9.199999999999999 estimated_steps = 9200 step_error = 3.475240234284579e-20 est_needed_step_err = 3.475240234284579e-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 = 0.001 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 = 0.001 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) = -0.9972166627575056 absolute error = 0.9972166627575056 relative error = -1 % Desired digits = 16 Estimated correct digits = 12 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 0.4296139170944908 absolute error = 0.4296139170944908 relative error = -1 % Desired digits = 16 Estimated correct digits = 12 Correct digits = -16 h = 0.001 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) = -0.9899454878198117 absolute error = 0.9899454878198117 relative error = -1 % Desired digits = 16 Estimated correct digits = 12 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 0.8574280781858925 absolute error = 0.8574280781858925 relative error = -1 % Desired digits = 16 Estimated correct digits = 12 Correct digits = -16 h = 0.001 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) = -0.9800267584691218 absolute error = 0.9800267584691218 relative error = -1 % Desired digits = 16 Estimated correct digits = 12 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 1.283065207254137 absolute error = 1.283065207254137 relative error = -1 % Desired digits = 16 Estimated correct digits = 12 Correct digits = -16 h = 0.001 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) = -0.9686893507189285 absolute error = 0.9686893507189285 relative error = -1 % Desired digits = 16 Estimated correct digits = 12 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 1.706909034283853 absolute error = 1.706909034283853 relative error = -1 % Desired digits = 16 Estimated correct digits = 12 Correct digits = -16 h = 0.001 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) = -0.9565696686657554 absolute error = 0.9565696686657554 relative error = -1 % Desired digits = 16 Estimated correct digits = 12 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 2.129407162362792 absolute error = 2.129407162362792 relative error = -1 % Desired digits = 16 Estimated correct digits = 12 Correct digits = -16 h = 0.001 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) = -0.9439905223100203 absolute error = 0.9439905223100203 relative error = -1 % Desired digits = 16 Estimated correct digits = 12 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 2.550899845345944 absolute error = 2.550899845345944 relative error = -1 % Desired digits = 16 Estimated correct digits = 12 Correct digits = -16 h = 0.001 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) = -0.9311240252485802 absolute error = 0.9311240252485802 relative error = -1 % Desired digits = 16 Estimated correct digits = 12 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 2.971625836533149 absolute error = 2.971625836533149 relative error = -1 % Desired digits = 16 Estimated correct digits = 12 Correct digits = -16 h = 0.001 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) = -0.9180678373965544 absolute error = 0.9180678373965544 relative error = -1 % Desired digits = 16 Estimated correct digits = 12 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 3.391752324859592 absolute error = 3.391752324859592 relative error = -1 % Desired digits = 16 Estimated correct digits = 12 Correct digits = -16 h = 0.001 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) = -0.904880681202993 absolute error = 0.904880681202993 relative error = -1 % Desired digits = 16 Estimated correct digits = 12 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 3.811398685392602 absolute error = 3.811398685392602 relative error = -1 % Desired digits = 16 Estimated correct digits = 12 Correct digits = -16 h = 0.001 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) = -0.8915996849572674 absolute error = 0.8915996849572674 relative error = -1 % Desired digits = 16 Estimated correct digits = 12 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 4.230652260459785 absolute error = 4.230652260459785 relative error = -1 % Desired digits = 16 Estimated correct digits = 12 Correct digits = -16 h = 0.001 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] = 2.099999999999879 x[1] (closed_form) = 0 x[1] (numeric) = -0.8782493467232145 absolute error = 0.8782493467232145 relative error = -1 % Desired digits = 16 Estimated correct digits = 12 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 4.649578513090678 absolute error = 4.649578513090678 relative error = -1 % Desired digits = 16 Estimated correct digits = 12 Correct digits = -16 h = 0.001 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] = 2.199999999999868 x[1] (closed_form) = 0 x[1] (numeric) = -0.8648464262446126 absolute error = 0.8648464262446126 relative error = -1 % Desired digits = 16 Estimated correct digits = 12 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 5.068227604739428 absolute error = 5.068227604739428 relative error = -1 % Desired digits = 16 Estimated correct digits = 12 Correct digits = -16 h = 0.001 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] = 2.299999999999857 x[1] (closed_form) = 0 x[1] (numeric) = -0.8514027482004281 absolute error = 0.8514027482004281 relative error = -1 % Desired digits = 16 Estimated correct digits = 12 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 5.486638739521524 absolute error = 5.486638739521524 relative error = -1 % Desired digits = 16 Estimated correct digits = 12 Correct digits = -16 h = 0.001 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] = 2.399999999999846 x[1] (closed_form) = 0 x[1] (numeric) = -0.8379268790766594 absolute error = 0.8379268790766594 relative error = -1 % Desired digits = 16 Estimated correct digits = 12 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 5.904843099367238 absolute error = 5.904843099367238 relative error = -1 % Desired digits = 16 Estimated correct digits = 12 Correct digits = -16 h = 0.001 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] = 2.499999999999835 x[1] (closed_form) = 0 x[1] (numeric) = -0.8244251686678985 absolute error = 0.8244251686678985 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 6.322865872978948 absolute error = 6.322865872978948 relative error = -1 % Desired digits = 16 Estimated correct digits = 12 Correct digits = -16 h = 0.001 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] = 2.599999999999824 x[1] (closed_form) = 0 x[1] (numeric) = -0.8109024186073508 absolute error = 0.8109024186073508 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 6.740727689103021 absolute error = 6.740727689103021 relative error = -1 % Desired digits = 16 Estimated correct digits = 12 Correct digits = -16 h = 0.001 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] = 2.699999999999813 x[1] (closed_form) = 0 x[1] (numeric) = -0.7973623241001371 absolute error = 0.7973623241001371 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 7.158445649520803 absolute error = 7.158445649520803 relative error = -1 % Desired digits = 16 Estimated correct digits = 12 Correct digits = -16 h = 0.001 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] = 2.799999999999802 x[1] (closed_form) = 0 x[1] (numeric) = -0.7838077733686102 absolute error = 0.7838077733686102 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 7.576034087347848 absolute error = 7.576034087347848 relative error = -1 % Desired digits = 16 Estimated correct digits = 12 Correct digits = -16 h = 0.001 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] = 2.899999999999791 x[1] (closed_form) = 0 x[1] (numeric) = -0.7702410553132658 absolute error = 0.7702410553132658 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 7.993505133084245 absolute error = 7.993505133084245 relative error = -1 % Desired digits = 16 Estimated correct digits = 12 Correct digits = -16 h = 0.001 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] = 2.99999999999978 x[1] (closed_form) = 0 x[1] (numeric) = -0.7566640064790947 absolute error = 0.7566640064790947 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 8.41086914364668 absolute error = 8.41086914364668 relative error = -1 % Desired digits = 16 Estimated correct digits = 12 Correct digits = -16 h = 0.001 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] = 3.099999999999769 x[1] (closed_form) = 0 x[1] (numeric) = -0.7430781169823404 absolute error = 0.7430781169823404 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 8.828135032097588 absolute error = 8.828135032097588 relative error = -1 % Desired digits = 16 Estimated correct digits = 12 Correct digits = -16 h = 0.001 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] = 3.199999999999758 x[1] (closed_form) = 0 x[1] (numeric) = -0.7294846081250477 absolute error = 0.7294846081250477 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 9.245310524289597 absolute error = 9.245310524289597 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 3.299999999999747 x[1] (closed_form) = 0 x[1] (numeric) = -0.7158844901195625 absolute error = 0.7158844901195625 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 9.662402360955602 absolute error = 9.662402360955602 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 3.399999999999736 x[1] (closed_form) = 0 x[1] (numeric) = -0.7022786056070901 absolute error = 0.7022786056070901 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 10.07941645854321 absolute error = 10.07941645854321 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 3.499999999999725 x[1] (closed_form) = 0 x[1] (numeric) = -0.6886676628759616 absolute error = 0.6886676628759616 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 10.49635803847415 absolute error = 10.49635803847415 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 3.599999999999714 x[1] (closed_form) = 0 x[1] (numeric) = -0.675052261507689 absolute error = 0.675052261507689 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 10.9132317319689 absolute error = 10.9132317319689 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 3.699999999999703 x[1] (closed_form) = 0 x[1] (numeric) = -0.6614329123852886 absolute error = 0.6614329123852886 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 11.33004166576726 absolute error = 11.33004166576726 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 3.799999999999692 x[1] (closed_form) = 0 x[1] (numeric) = -0.6478100534547883 absolute error = 0.6478100534547883 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 11.74679153277011 absolute error = 11.74679153277011 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 3.899999999999681 x[1] (closed_form) = 0 x[1] (numeric) = -0.634184062252884 absolute error = 0.634184062252884 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 12.16348465067415 absolute error = 12.16348465067415 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 3.99999999999967 x[1] (closed_form) = 0 x[1] (numeric) = -0.6205552659472962 absolute error = 0.6205552659472962 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 12.58012401096635 absolute error = 12.58012401096635 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 4.099999999999703 x[1] (closed_form) = 0 x[1] (numeric) = -0.6069239494461114 absolute error = 0.6069239494461114 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 12.99671232011915 absolute error = 12.99671232011915 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 4.199999999999736 x[1] (closed_form) = 0 x[1] (numeric) = -0.5932903619948999 absolute error = 0.5932903619948999 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 13.4132520344301 absolute error = 13.4132520344301 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 4.29999999999977 x[1] (closed_form) = 0 x[1] (numeric) = -0.5796547225799223 absolute error = 0.5796547225799223 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 13.82974538964759 absolute error = 13.82974538964759 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 4.399999999999803 x[1] (closed_form) = 0 x[1] (numeric) = -0.5660172243815614 absolute error = 0.5660172243815614 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 14.24619442629227 absolute error = 14.24619442629227 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 4.499999999999837 x[1] (closed_form) = 0 x[1] (numeric) = -0.5523780384667722 absolute error = 0.5523780384667722 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 14.66260101140369 absolute error = 14.66260101140369 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 4.59999999999987 x[1] (closed_form) = 0 x[1] (numeric) = -0.5387373168677294 absolute error = 0.5387373168677294 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 15.07896685730165 absolute error = 15.07896685730165 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 4.699999999999903 x[1] (closed_form) = 0 x[1] (numeric) = -0.5250951951622483 absolute error = 0.5250951951622483 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 15.49529353784126 absolute error = 15.49529353784126 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 4.799999999999937 x[1] (closed_form) = 0 x[1] (numeric) = -0.5114517946473872 absolute error = 0.5114517946473872 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 15.91158250255325 absolute error = 15.91158250255325 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 4.89999999999997 x[1] (closed_form) = 0 x[1] (numeric) = -0.497807224178986 absolute error = 0.497807224178986 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 16.32783508899164 absolute error = 16.32783508899164 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 5.000000000000004 x[1] (closed_form) = 0 x[1] (numeric) = -0.4841615817354317 absolute error = 0.4841615817354317 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 16.74405253355489 absolute error = 16.74405253355489 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 5.100000000000037 x[1] (closed_form) = 0 x[1] (numeric) = -0.4705149557526159 absolute error = 0.4705149557526159 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 17.16023598100177 absolute error = 17.16023598100177 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 5.20000000000007 x[1] (closed_form) = 0 x[1] (numeric) = -0.4568674262681447 absolute error = 0.4568674262681447 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 17.57638649284617 absolute error = 17.57638649284617 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 5.300000000000104 x[1] (closed_form) = 0 x[1] (numeric) = -0.4432190659058003 absolute error = 0.4432190659058003 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 17.99250505478616 absolute error = 17.99250505478616 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 5.400000000000137 x[1] (closed_form) = 0 x[1] (numeric) = -0.4295699407256445 absolute error = 0.4295699407256445 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 18.40859258329721 absolute error = 18.40859258329721 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 5.500000000000171 x[1] (closed_form) = 0 x[1] (numeric) = -0.4159201109606486 absolute error = 0.4159201109606486 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 18.8246499315001 absolute error = 18.8246499315001 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 5.600000000000204 x[1] (closed_form) = 0 x[1] (numeric) = -0.4022696316571102 absolute error = 0.4022696316571102 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 19.24067789439681 absolute error = 19.24067789439681 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 5.700000000000237 x[1] (closed_form) = 0 x[1] (numeric) = -0.3886185532331888 absolute error = 0.3886185532331888 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 19.65667721355448 absolute error = 19.65667721355448 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 5.800000000000271 x[1] (closed_form) = 0 x[1] (numeric) = -0.3749669219675081 absolute error = 0.3749669219675081 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 20.07264858130551 absolute error = 20.07264858130551 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 5.900000000000304 x[1] (closed_form) = 0 x[1] (numeric) = -0.3613147804278192 absolute error = 0.3613147804278192 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 20.48859264452223 absolute error = 20.48859264452223 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 6.000000000000338 x[1] (closed_form) = 0 x[1] (numeric) = -0.3476621678481319 absolute error = 0.3476621678481319 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 20.90451000801679 absolute error = 20.90451000801679 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 6.100000000000371 x[1] (closed_form) = 0 x[1] (numeric) = -0.3340091204613911 absolute error = 0.3340091204613911 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 21.32040123760954 absolute error = 21.32040123760954 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 6.200000000000404 x[1] (closed_form) = 0 x[1] (numeric) = -0.3203556717937003 absolute error = 0.3203556717937003 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 21.73626686290396 absolute error = 21.73626686290396 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 6.300000000000438 x[1] (closed_form) = 0 x[1] (numeric) = -0.3067018529251765 absolute error = 0.3067018529251765 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 22.15210737980053 absolute error = 22.15210737980053 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 6.400000000000471 x[1] (closed_form) = 0 x[1] (numeric) = -0.2930476927217777 absolute error = 0.2930476927217777 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 22.56792325277842 absolute error = 22.56792325277842 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 6.500000000000504 x[1] (closed_form) = 0 x[1] (numeric) = -0.2793932180418048 absolute error = 0.2793932180418048 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 22.98371491696983 absolute error = 22.98371491696983 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 6.600000000000538 x[1] (closed_form) = 0 x[1] (numeric) = -0.2657384539202571 absolute error = 0.2657384539202571 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 23.39948278004861 absolute error = 23.39948278004861 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 6.700000000000571 x[1] (closed_form) = 0 x[1] (numeric) = -0.2520834237337681 absolute error = 0.2520834237337681 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 23.81522722395302 absolute error = 23.81522722395302 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 6.800000000000605 x[1] (closed_form) = 0 x[1] (numeric) = -0.2384281493484773 absolute error = 0.2384281493484773 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 24.23094860645855 absolute error = 24.23094860645855 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 6.900000000000638 x[1] (closed_form) = 0 x[1] (numeric) = -0.2247726512528708 absolute error = 0.2247726512528708 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 24.64664726261661 absolute error = 24.64664726261661 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 7.000000000000671 x[1] (closed_form) = 0 x[1] (numeric) = -0.2111169486773544 absolute error = 0.2111169486773544 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 25.06232350607162 absolute error = 25.06232350607162 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 7.100000000000705 x[1] (closed_form) = 0 x[1] (numeric) = -0.1974610597020864 absolute error = 0.1974610597020864 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 25.47797763026858 absolute error = 25.47797763026858 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 7.200000000000738 x[1] (closed_form) = 0 x[1] (numeric) = -0.1838050013544082 absolute error = 0.1838050013544082 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 25.89360990956123 absolute error = 25.89360990956123 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 7.300000000000772 x[1] (closed_form) = 0 x[1] (numeric) = -0.1701487896970323 absolute error = 0.1701487896970323 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 26.30922060023012 absolute error = 26.30922060023012 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 7.400000000000805 x[1] (closed_form) = 0 x[1] (numeric) = -0.1564924399080088 absolute error = 0.1564924399080088 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 26.72480994141883 absolute error = 26.72480994141883 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 7.500000000000838 x[1] (closed_form) = 0 x[1] (numeric) = -0.1428359663533613 absolute error = 0.1428359663533613 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 27.14037815599557 absolute error = 27.14037815599557 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 7.600000000000872 x[1] (closed_form) = 0 x[1] (numeric) = -0.1291793826531746 absolute error = 0.1291793826531746 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 27.55592545134684 absolute error = 27.55592545134684 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 7.700000000000905 x[1] (closed_form) = 0 x[1] (numeric) = -0.1155227017418289 absolute error = 0.1155227017418289 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 27.97145202010891 absolute error = 27.97145202010891 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 7.800000000000939 x[1] (closed_form) = 0 x[1] (numeric) = -0.101865935922986 absolute error = 0.101865935922986 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 28.38695804084255 absolute error = 28.38695804084255 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 7.900000000000972 x[1] (closed_form) = 0 x[1] (numeric) = -0.08820909691986697 absolute error = 0.08820909691986697 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 28.80244367865555 absolute error = 28.80244367865555 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 8.000000000001005 x[1] (closed_form) = 0 x[1] (numeric) = -0.07455219592129811 absolute error = 0.07455219592129811 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 29.21790908577747 absolute error = 29.21790908577747 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 8.10000000000095 x[1] (closed_form) = 0 x[1] (numeric) = -0.06089524362394778 absolute error = 0.06089524362394778 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 29.63335440209033 absolute error = 29.63335440209033 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 8.200000000000895 x[1] (closed_form) = 0 x[1] (numeric) = -0.04723825027113033 absolute error = 0.04723825027113033 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 30.04877975561891 absolute error = 30.04877975561891 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 8.300000000000839 x[1] (closed_form) = 0 x[1] (numeric) = -0.03358122568851196 absolute error = 0.03358122568851196 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 30.46418526298351 absolute error = 30.46418526298351 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 8.400000000000784 x[1] (closed_form) = 0 x[1] (numeric) = -0.01992417931701623 absolute error = 0.01992417931701623 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 30.87957102981828 absolute error = 30.87957102981828 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 8.500000000000728 x[1] (closed_form) = 0 x[1] (numeric) = -0.006267120243196642 absolute error = 0.006267120243196642 relative error = -1 % Desired digits = 16 Estimated correct digits = 9 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 31.29493715115755 absolute error = 31.29493715115755 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 8.600000000000673 x[1] (closed_form) = 0 x[1] (numeric) = 0.007389942772685546 absolute error = 0.007389942772685546 relative error = -1 % Desired digits = 16 Estimated correct digits = 9 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 31.71028371179253 absolute error = 31.71028371179253 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 8.700000000000617 x[1] (closed_form) = 0 x[1] (numeric) = 0.02104700127066434 absolute error = 0.02104700127066434 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 32.12561078660058 absolute error = 32.12561078660058 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 8.800000000000562 x[1] (closed_form) = 0 x[1] (numeric) = 0.03470404706696094 absolute error = 0.03470404706696094 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 32.54091844084864 absolute error = 32.54091844084864 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 8.900000000000507 x[1] (closed_form) = 0 x[1] (numeric) = 0.04836107223159214 absolute error = 0.04836107223159214 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 32.95620673047318 absolute error = 32.95620673047318 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 9.000000000000451 x[1] (closed_form) = 0 x[1] (numeric) = 0.0620180690675396 absolute error = 0.0620180690675396 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 33.3714757023377 absolute error = 33.3714757023377 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 9.100000000000396 x[1] (closed_form) = 0 x[1] (numeric) = 0.07567503009134047 absolute error = 0.07567503009134047 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 33.78672539446963 absolute error = 33.78672539446963 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 9.20000000000034 x[1] (closed_form) = 0 x[1] (numeric) = 0.08933194801497227 absolute error = 0.08933194801497227 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 34.20195583627754 absolute error = 34.20195583627754 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 9.300000000000285 x[1] (closed_form) = 0 x[1] (numeric) = 0.1029888157289181 absolute error = 0.1029888157289181 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 34.61716704875023 absolute error = 34.61716704875023 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 9.40000000000023 x[1] (closed_form) = 0 x[1] (numeric) = 0.1166456262863085 absolute error = 0.1166456262863085 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 35.03235904463889 absolute error = 35.03235904463889 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 9.500000000000174 x[1] (closed_form) = 0 x[1] (numeric) = 0.130302372888046 absolute error = 0.130302372888046 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 35.44753182862283 absolute error = 35.44753182862283 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 9.600000000000119 x[1] (closed_form) = 0 x[1] (numeric) = 0.1439590488688273 absolute error = 0.1439590488688273 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 35.86268539746039 absolute error = 35.86268539746039 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 9.700000000000063 x[1] (closed_form) = 0 x[1] (numeric) = 0.1576156476839848 absolute error = 0.1576156476839848 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 36.27781974012515 absolute error = 36.27781974012515 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 9.800000000000008 x[1] (closed_form) = 0 x[1] (numeric) = 0.1712721628970788 absolute error = 0.1712721628970788 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 36.69293483792868 absolute error = 36.69293483792868 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 9.899999999999952 x[1] (closed_form) = 0 x[1] (numeric) = 0.184928588168173 absolute error = 0.184928588168173 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 37.10803066463077 absolute error = 37.10803066463077 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 9.999999999999897 x[1] (closed_form) = 0 x[1] (numeric) = 0.1985849172427376 absolute error = 0.1985849172427376 relative error = -1 % Desired digits = 16 Estimated correct digits = 10 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 37.52310718653698 absolute error = 37.52310718653698 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 10.09999999999984 x[1] (closed_form) = 0 x[1] (numeric) = 0.2122411439411233 absolute error = 0.2122411439411233 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 37.93816436258484 absolute error = 37.93816436258484 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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] = 10.19999999999979 x[1] (closed_form) = 0 x[1] (numeric) = 0.2258972621485598 absolute error = 0.2258972621485598 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 y[1] (closed_form) = 0 y[1] (numeric) = 38.35320214441901 absolute error = 38.35320214441901 relative error = -1 % Desired digits = 16 Estimated correct digits = 11 Correct digits = -16 h = 0.001 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 = 9201 Total Elapsed Time = 10.0 Seconds Elapsed Time(since restart) = 10.0 Seconds Time to Timeout = 2 Minutes 50.0 Seconds Percent Done = 100 %