##############ECHO OF PROBLEM################# ##############temp/add_lin_linpostode.ode################# diff ( y , x , 1 ) = ( 0.1 * x + 0.2 ) + ( 0.3 * x + 0.1 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=-5.0 x_end=5.0 $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $glob_type_given_pole=3 #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 def exact_soln_y (x) return(0.4 * x * x / 2.0 + 0.3 * x) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Optimize min_size 0.0 min_size 1.0 $glob_desired_digits_correct 16 estimated_h 1.0e-06 estimated_answer 1.0 desired_abs_gbl_error 1.0e-16 range 10.0 estimated_steps 10000000.0 step_error 1.0540925533894597e-21 est_needed_step_err 1.0540925533894597e-21 opt_iter 1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size 3.5 $glob_desired_digits_correct 16 estimated_h 1.0e-06 estimated_answer 3.5 desired_abs_gbl_error 3.4999999999999997e-16 range 10.0 estimated_steps 10000000.0 step_error 3.689323936863109e-21 est_needed_step_err 3.689323936863109e-21 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 0.0 estimated_step_error 0.0 Double H and LOOP opt_iter 2 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size 3.5 $glob_desired_digits_correct 16 estimated_h 2.0e-06 estimated_answer 3.5 desired_abs_gbl_error 3.4999999999999997e-16 range 10.0 estimated_steps 5000000.0 step_error 5.217491947499508e-21 est_needed_step_err 5.217491947499508e-21 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 0.0 estimated_step_error 0.0 Double H and LOOP opt_iter 3 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size 3.5 $glob_desired_digits_correct 16 estimated_h 4.0e-06 estimated_answer 3.5 desired_abs_gbl_error 3.4999999999999997e-16 range 10.0 estimated_steps 2500000.0 step_error 7.378647873726218e-21 est_needed_step_err 7.378647873726218e-21 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 0.0 estimated_step_error 0.0 Double H and LOOP opt_iter 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size 3.5 $glob_desired_digits_correct 16 estimated_h 8.0e-06 estimated_answer 3.5 desired_abs_gbl_error 3.4999999999999997e-16 range 10.0 estimated_steps 1250000.0 step_error 1.0434983894999017e-20 est_needed_step_err 1.0434983894999017e-20 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 0.0 estimated_step_error 0.0 Double H and LOOP opt_iter 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size 3.5 $glob_desired_digits_correct 16 estimated_h 1.6e-05 estimated_answer 3.5 desired_abs_gbl_error 3.4999999999999997e-16 range 10.0 estimated_steps 625000.0 step_error 1.4757295747452436e-20 est_needed_step_err 1.4757295747452436e-20 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 0.0 estimated_step_error 0.0 Double H and LOOP opt_iter 6 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size 3.5 $glob_desired_digits_correct 16 estimated_h 3.2e-05 estimated_answer 3.5 desired_abs_gbl_error 3.4999999999999997e-16 range 10.0 estimated_steps 312500.0 step_error 2.0869967789998033e-20 est_needed_step_err 2.0869967789998033e-20 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 0.0 estimated_step_error 0.0 Double H and LOOP opt_iter 7 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size 3.5 $glob_desired_digits_correct 16 estimated_h 6.4e-05 estimated_answer 3.5 desired_abs_gbl_error 3.4999999999999997e-16 range 10.0 estimated_steps 156250.0 step_error 2.951459149490487e-20 est_needed_step_err 2.951459149490487e-20 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 0.0 estimated_step_error 0.0 Double H and LOOP opt_iter 8 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size 3.5 $glob_desired_digits_correct 16 estimated_h 0.000128 estimated_answer 3.5 desired_abs_gbl_error 3.4999999999999997e-16 range 10.0 estimated_steps 78125.0 step_error 4.1739935579996067e-20 est_needed_step_err 4.1739935579996067e-20 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 0.0 estimated_step_error 0.0 Double H and LOOP opt_iter 9 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size 3.5 $glob_desired_digits_correct 16 estimated_h 0.000256 estimated_answer 3.5 desired_abs_gbl_error 3.4999999999999997e-16 range 10.0 estimated_steps 39062.5 step_error 5.902918298980975e-20 est_needed_step_err 5.902918298980975e-20 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 0.0 estimated_step_error 0.0 Double H and LOOP opt_iter 10 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size 3.5 $glob_desired_digits_correct 16 estimated_h 0.000512 estimated_answer 3.5 desired_abs_gbl_error 3.4999999999999997e-16 range 10.0 estimated_steps 19531.25 step_error 8.347987115999213e-20 est_needed_step_err 8.347987115999213e-20 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 0.0 estimated_step_error 0.0 Double H and LOOP opt_iter 11 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size 3.5 $glob_desired_digits_correct 16 estimated_h 0.001024 estimated_answer 3.5 desired_abs_gbl_error 3.4999999999999997e-16 range 10.0 estimated_steps 9765.625 step_error 1.180583659796195e-19 est_needed_step_err 1.180583659796195e-19 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 0.0 estimated_step_error 0.0 Double H and LOOP opt_iter 12 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size 3.5 $glob_desired_digits_correct 16 estimated_h 0.002048 estimated_answer 3.5 desired_abs_gbl_error 3.4999999999999997e-16 range 10.0 estimated_steps 4882.8125 step_error 1.6695974231998427e-19 est_needed_step_err 1.6695974231998427e-19 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 0.0 estimated_step_error 0.0 Double H and LOOP opt_iter 13 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size 3.5 $glob_desired_digits_correct 16 estimated_h 0.004096 estimated_answer 3.5 desired_abs_gbl_error 3.4999999999999997e-16 range 10.0 estimated_steps 2441.40625 step_error 2.36116731959239e-19 est_needed_step_err 2.36116731959239e-19 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 0.0 estimated_step_error 0.0 Double H and LOOP opt_iter 14 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size 3.5 $glob_desired_digits_correct 16 estimated_h 0.008192 estimated_answer 3.5 desired_abs_gbl_error 3.4999999999999997e-16 range 10.0 estimated_steps 1220.703125 step_error 3.3391948463996853e-19 est_needed_step_err 3.3391948463996853e-19 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 0.0 estimated_step_error 0.0 Double H and LOOP opt_iter 15 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size 3.5 $glob_desired_digits_correct 16 estimated_h 0.016384 estimated_answer 3.5 desired_abs_gbl_error 3.4999999999999997e-16 range 10.0 estimated_steps 610.3515625 step_error 4.72233463918478e-19 est_needed_step_err 4.72233463918478e-19 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 0.0 estimated_step_error 0.0 Double H and LOOP opt_iter 16 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size 3.5 $glob_desired_digits_correct 16 estimated_h 0.032768 estimated_answer 3.5 desired_abs_gbl_error 3.4999999999999997e-16 range 10.0 estimated_steps 305.17578125 step_error 6.678389692799371e-19 est_needed_step_err 6.678389692799371e-19 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 0.0 estimated_step_error 0.0 Double H and LOOP opt_iter 17 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size 3.5 $glob_desired_digits_correct 16 estimated_h 0.065536 estimated_answer 3.5 desired_abs_gbl_error 3.4999999999999997e-16 range 10.0 estimated_steps 152.587890625 step_error 9.44466927836956e-19 est_needed_step_err 9.44466927836956e-19 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 0.0 estimated_step_error 0.0 Double H and LOOP opt_iter 18 SETTING H FOR MAX H SETTING H FOR DISPLAY INTERVAL NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 START of Soultion TOP MAIN SOLVE Loop x[1] -5.0 y[1] (closed_form) 3.5 y[1] (numeric) 3.5 absolute error 0.0 relative error 0.0% Desired digits 16 Estimated correct digits 14 Correct digits 16 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.9 y[1] (closed_form) 3.3320000000000007 y[1] (numeric) 3.332 absolute error 8.881784197001252e-16 relative error 2.665601499700255e-14% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.800000000000001 y[1] (closed_form) 3.168000000000001 y[1] (numeric) 3.1679999999999997 absolute error 1.3322676295501878e-15 relative error 4.205390244792258e-14% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.700000000000001 y[1] (closed_form) 3.008000000000002 y[1] (numeric) 3.0079999999999996 absolute error 2.220446049250313e-15 relative error 7.381802025433217e-14% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.600000000000001 y[1] (closed_form) 2.8520000000000025 y[1] (numeric) 2.8519999999999994 absolute error 3.1086244689504383e-15 relative error 1.0899805290850055e-13% Desired digits 16 Estimated correct digits 13 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.500000000000002 y[1] (closed_form) 2.700000000000003 y[1] (numeric) 2.6999999999999993 absolute error 3.552713678800501e-15 relative error 1.315819881037221e-13% Desired digits 16 Estimated correct digits 13 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.400000000000002 y[1] (closed_form) 2.552000000000003 y[1] (numeric) 2.551999999999999 absolute error 3.9968028886505635e-15 relative error 1.5661453325433223e-13% Desired digits 16 Estimated correct digits 13 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.3000000000000025 y[1] (closed_form) 2.408000000000004 y[1] (numeric) 2.407999999999999 absolute error 4.884981308350689e-15 relative error 2.0286467227369937e-13% Desired digits 16 Estimated correct digits 13 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.200000000000003 y[1] (closed_form) 2.2680000000000042 y[1] (numeric) 2.267999999999999 absolute error 5.329070518200751e-15 relative error 2.349678358995036e-13% Desired digits 16 Estimated correct digits 13 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.100000000000003 y[1] (closed_form) 2.1320000000000046 y[1] (numeric) 2.131999999999999 absolute error 5.773159728050814e-15 relative error 2.707861035671108e-13% Desired digits 16 Estimated correct digits 13 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.0000000000000036 y[1] (closed_form) 2.0000000000000044 y[1] (numeric) 1.9999999999999987 absolute error 5.773159728050814e-15 relative error 2.8865798640254004e-13% Desired digits 16 Estimated correct digits 13 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.9000000000000035 y[1] (closed_form) 1.8720000000000045 y[1] (numeric) 1.8719999999999986 absolute error 5.995204332975845e-15 relative error 3.2025664171879436e-13% Desired digits 16 Estimated correct digits 13 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.8000000000000034 y[1] (closed_form) 1.7480000000000042 y[1] (numeric) 1.7479999999999984 absolute error 5.773159728050814e-15 relative error 3.302722956550801e-13% Desired digits 16 Estimated correct digits 13 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.7000000000000033 y[1] (closed_form) 1.6280000000000039 y[1] (numeric) 1.6279999999999983 absolute error 5.551115123125783e-15 relative error 3.409775874155878e-13% Desired digits 16 Estimated correct digits 13 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.600000000000003 y[1] (closed_form) 1.5120000000000036 y[1] (numeric) 1.5119999999999982 absolute error 5.329070518200751e-15 relative error 3.524517538492552e-13% Desired digits 16 Estimated correct digits 13 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.500000000000003 y[1] (closed_form) 1.4000000000000032 y[1] (numeric) 1.3999999999999981 absolute error 5.10702591327572e-15 relative error 3.6478756523397916e-13% Desired digits 16 Estimated correct digits 13 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.400000000000003 y[1] (closed_form) 1.2920000000000034 y[1] (numeric) 1.291999999999998 absolute error 5.329070518200751e-15 relative error 4.124667583746701e-13% Desired digits 16 Estimated correct digits 13 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.300000000000003 y[1] (closed_form) 1.188000000000003 y[1] (numeric) 1.187999999999998 absolute error 5.10702591327572e-15 relative error 4.2988433613431876e-13% Desired digits 16 Estimated correct digits 12 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.200000000000003 y[1] (closed_form) 1.0880000000000027 y[1] (numeric) 1.0879999999999979 absolute error 4.884981308350689e-15 relative error 4.489872526057607e-13% Desired digits 16 Estimated correct digits 12 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.1000000000000028 y[1] (closed_form) 0.9920000000000027 y[1] (numeric) 0.9919999999999978 absolute error 4.884981308350689e-15 relative error 4.92437631890189e-13% Desired digits 16 Estimated correct digits 12 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.0000000000000027 y[1] (closed_form) 0.9000000000000024 y[1] (numeric) 0.8999999999999977 absolute error 4.6629367034256575e-15 relative error 5.18104078158405e-13% Desired digits 16 Estimated correct digits 12 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.9000000000000026 y[1] (closed_form) 0.8120000000000023 y[1] (numeric) 0.8119999999999976 absolute error 4.6629367034256575e-15 relative error 5.742532885992173e-13% Desired digits 16 Estimated correct digits 12 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.8000000000000025 y[1] (closed_form) 0.728000000000002 y[1] (numeric) 0.7279999999999975 absolute error 4.440892098500626e-15 relative error 6.100126508929415e-13% Desired digits 16 Estimated correct digits 12 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.7000000000000024 y[1] (closed_form) 0.6480000000000019 y[1] (numeric) 0.6479999999999975 absolute error 4.440892098500626e-15 relative error 6.853228547068848e-13% Desired digits 16 Estimated correct digits 12 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.6000000000000023 y[1] (closed_form) 0.5720000000000016 y[1] (numeric) 0.5719999999999974 absolute error 4.218847493575595e-15 relative error 7.375607506251019e-13% Desired digits 16 Estimated correct digits 12 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.500000000000002 y[1] (closed_form) 0.5000000000000016 y[1] (numeric) 0.49999999999999734 absolute error 4.218847493575595e-15 relative error 8.437694987151163e-13% Desired digits 16 Estimated correct digits 12 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.400000000000002 y[1] (closed_form) 0.4320000000000015 y[1] (numeric) 0.4319999999999973 absolute error 4.218847493575595e-15 relative error 9.765850679573103e-13% Desired digits 16 Estimated correct digits 12 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.300000000000002 y[1] (closed_form) 0.3680000000000012 y[1] (numeric) 0.3679999999999972 absolute error 3.9968028886505635e-15 relative error 1.0860877414811278e-12% Desired digits 16 Estimated correct digits 12 Correct digits 14 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.200000000000002 y[1] (closed_form) 0.30800000000000116 y[1] (numeric) 0.30799999999999716 absolute error 3.9968028886505635e-15 relative error 1.2976632755358923e-12% Desired digits 16 Estimated correct digits 12 Correct digits 14 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.100000000000002 y[1] (closed_form) 0.252000000000001 y[1] (numeric) 0.2519999999999971 absolute error 3.885780586188048e-15 relative error 1.5419764230904891e-12% Desired digits 16 Estimated correct digits 12 Correct digits 14 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.0000000000000018 y[1] (closed_form) 0.20000000000000084 y[1] (numeric) 0.19999999999999704 absolute error 3.802513859341161e-15 relative error 1.9012569296705725e-12% Desired digits 16 Estimated correct digits 12 Correct digits 14 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.9000000000000017 y[1] (closed_form) 0.1520000000000008 y[1] (numeric) 0.15199999999999697 absolute error 3.83026943495679e-15 relative error 2.5199141019452435e-12% Desired digits 16 Estimated correct digits 11 Correct digits 14 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.8000000000000016 y[1] (closed_form) 0.10800000000000065 y[1] (numeric) 0.1079999999999969 absolute error 3.747002708109903e-15 relative error 3.469446951953593e-12% Desired digits 16 Estimated correct digits 11 Correct digits 14 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.7000000000000015 y[1] (closed_form) 0.06800000000000062 y[1] (numeric) 0.06799999999999684 absolute error 3.774758283725532e-15 relative error 5.551115123125733e-12% Desired digits 16 Estimated correct digits 11 Correct digits 14 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.6000000000000014 y[1] (closed_form) 0.03200000000000047 y[1] (numeric) 0.03199999999999678 absolute error 3.6914915568786455e-15 relative error 1.1535911115245598e-11% Desired digits 16 Estimated correct digits 11 Correct digits 13 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.5000000000000013 y[1] (closed_form) 3.885780586188048e-16 y[1] (numeric) -3.2751579226442118e-15 absolute error 3.6637359812630166e-15 relative error 942.8571428571429% Desired digits 16 Estimated correct digits -1 Correct digits 1 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.4000000000000012 y[1] (closed_form) -0.027999999999999692 y[1] (numeric) -0.028000000000003328 absolute error 3.635980405647388e-15 relative error 1.298564430588367e-11% Desired digits 16 Estimated correct digits 11 Correct digits 13 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.3000000000000012 y[1] (closed_form) -0.05199999999999977 y[1] (numeric) -0.05200000000000338 absolute error 3.608224830031759e-15 relative error 6.938893903907259e-12% Desired digits 16 Estimated correct digits 11 Correct digits 14 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.200000000000001 y[1] (closed_form) -0.07199999999999979 y[1] (numeric) -0.07200000000000342 absolute error 3.635980405647388e-15 relative error 5.049972785621387e-12% Desired digits 16 Estimated correct digits 11 Correct digits 14 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.100000000000001 y[1] (closed_form) -0.08799999999999986 y[1] (numeric) -0.08800000000000346 absolute error 3.608224830031759e-15 relative error 4.10025548867246e-12% Desired digits 16 Estimated correct digits 11 Correct digits 14 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.0000000000000009 y[1] (closed_form) -0.09999999999999992 y[1] (numeric) -0.1000000000000035 absolute error 3.58046925441613e-15 relative error 3.5804692544161327e-12% Desired digits 16 Estimated correct digits 11 Correct digits 14 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9000000000000009 y[1] (closed_form) -0.1079999999999999 y[1] (numeric) -0.10800000000000354 absolute error 3.635980405647388e-15 relative error 3.3666485237475843e-12% Desired digits 16 Estimated correct digits 11 Correct digits 14 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8000000000000009 y[1] (closed_form) -0.11199999999999996 y[1] (numeric) -0.11200000000000357 absolute error 3.608224830031759e-15 relative error 3.221629312528357e-12% Desired digits 16 Estimated correct digits 11 Correct digits 14 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.700000000000001 y[1] (closed_form) -0.11199999999999999 y[1] (numeric) -0.11200000000000361 absolute error 3.622102617839573e-15 relative error 3.2340201944996194e-12% Desired digits 16 Estimated correct digits 11 Correct digits 14 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.600000000000001 y[1] (closed_form) -0.10800000000000005 y[1] (numeric) -0.10800000000000365 absolute error 3.594347042223944e-15 relative error 3.328099113170317e-12% Desired digits 16 Estimated correct digits 11 Correct digits 14 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.500000000000001 y[1] (closed_form) -0.1000000000000001 y[1] (numeric) -0.10000000000000368 absolute error 3.58046925441613e-15 relative error 3.5804692544161262e-12% Desired digits 16 Estimated correct digits 11 Correct digits 14 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.400000000000001 y[1] (closed_form) -0.08800000000000013 y[1] (numeric) -0.08800000000000371 absolute error 3.58046925441613e-15 relative error 4.068715061836505e-12% Desired digits 16 Estimated correct digits 11 Correct digits 14 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.30000000000000104 y[1] (closed_form) -0.07200000000000019 y[1] (numeric) -0.07200000000000376 absolute error 3.566591466608315e-15 relative error 4.953599259178203e-12% Desired digits 16 Estimated correct digits 11 Correct digits 14 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.20000000000000104 y[1] (closed_form) -0.05200000000000023 y[1] (numeric) -0.05200000000000379 absolute error 3.566591466608315e-15 relative error 6.8588297434775e-12% Desired digits 16 Estimated correct digits 11 Correct digits 14 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.10000000000000103 y[1] (closed_form) -0.028000000000000268 y[1] (numeric) -0.028000000000003827 absolute error 3.559652572704408e-15 relative error 1.2713044902515622e-11% Desired digits 16 Estimated correct digits 11 Correct digits 13 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.0269562977782698e-15 y[1] (closed_form) -3.0808688933348073e-16 y[1] (numeric) -3.864963904476326e-15 absolute error 3.5568770151428454e-15 relative error 1154.5045045045053% Desired digits 16 Estimated correct digits -1 Correct digits 0 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.09999999999999898 y[1] (closed_form) 0.031999999999999654 y[1] (numeric) 0.031999999999996094 absolute error 3.559652572704408e-15 relative error 1.1123914289701397e-11% Desired digits 16 Estimated correct digits 11 Correct digits 13 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.19999999999999898 y[1] (closed_form) 0.06799999999999962 y[1] (numeric) 0.06799999999999606 absolute error 3.552713678800501e-15 relative error 5.224578939412531e-12% Desired digits 16 Estimated correct digits 11 Correct digits 14 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.299999999999999 y[1] (closed_form) 0.10799999999999957 y[1] (numeric) 0.10799999999999603 absolute error 3.5388358909926865e-15 relative error 3.2766998990673154e-12% Desired digits 16 Estimated correct digits 11 Correct digits 14 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.399999999999999 y[1] (closed_form) 0.15199999999999955 y[1] (numeric) 0.151999999999996 absolute error 3.552713678800501e-15 relative error 2.3373116307898103e-12% Desired digits 16 Estimated correct digits 11 Correct digits 14 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.499999999999999 y[1] (closed_form) 0.1999999999999995 y[1] (numeric) 0.19999999999999596 absolute error 3.552713678800501e-15 relative error 1.7763568394002547e-12% Desired digits 16 Estimated correct digits 11 Correct digits 14 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.599999999999999 y[1] (closed_form) 0.25199999999999945 y[1] (numeric) 0.2519999999999959 absolute error 3.552713678800501e-15 relative error 1.4098070153970273e-12% Desired digits 16 Estimated correct digits 12 Correct digits 14 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.699999999999999 y[1] (closed_form) 0.3079999999999994 y[1] (numeric) 0.30799999999999583 absolute error 3.552713678800501e-15 relative error 1.153478467143022e-12% Desired digits 16 Estimated correct digits 12 Correct digits 14 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7999999999999989 y[1] (closed_form) 0.3679999999999993 y[1] (numeric) 0.3679999999999958 absolute error 3.552713678800501e-15 relative error 9.654113257610074e-13% Desired digits 16 Estimated correct digits 12 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8999999999999989 y[1] (closed_form) 0.4319999999999993 y[1] (numeric) 0.4319999999999957 absolute error 3.552713678800501e-15 relative error 8.223874256482655e-13% Desired digits 16 Estimated correct digits 12 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9999999999999989 y[1] (closed_form) 0.4999999999999992 y[1] (numeric) 0.49999999999999567 absolute error 3.552713678800501e-15 relative error 7.105427357601013e-13% Desired digits 16 Estimated correct digits 12 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.099999999999999 y[1] (closed_form) 0.5719999999999993 y[1] (numeric) 0.5719999999999956 absolute error 3.6637359812630166e-15 relative error 6.405132834375912e-13% Desired digits 16 Estimated correct digits 12 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.199999999999999 y[1] (closed_form) 0.6479999999999992 y[1] (numeric) 0.6479999999999956 absolute error 3.6637359812630166e-15 relative error 5.653913551331822e-13% Desired digits 16 Estimated correct digits 12 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2999999999999992 y[1] (closed_form) 0.7279999999999993 y[1] (numeric) 0.7279999999999955 absolute error 3.774758283725532e-15 relative error 5.185107532590022e-13% Desired digits 16 Estimated correct digits 12 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3999999999999992 y[1] (closed_form) 0.8119999999999994 y[1] (numeric) 0.8119999999999955 absolute error 3.885780586188048e-15 relative error 4.785444071660161e-13% Desired digits 16 Estimated correct digits 12 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4999999999999993 y[1] (closed_form) 0.8999999999999995 y[1] (numeric) 0.8999999999999955 absolute error 3.9968028886505635e-15 relative error 4.4408920985006287e-13% Desired digits 16 Estimated correct digits 12 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5999999999999994 y[1] (closed_form) 0.9919999999999995 y[1] (numeric) 0.9919999999999954 absolute error 4.107825191113079e-15 relative error 4.1409528136220573e-13% Desired digits 16 Estimated correct digits 12 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6999999999999995 y[1] (closed_form) 1.0879999999999996 y[1] (numeric) 1.0879999999999954 absolute error 4.218847493575595e-15 relative error 3.877617181595217e-13% Desired digits 16 Estimated correct digits 12 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7999999999999996 y[1] (closed_form) 1.1879999999999995 y[1] (numeric) 1.1879999999999953 absolute error 4.218847493575595e-15 relative error 3.5512184289356874e-13% Desired digits 16 Estimated correct digits 12 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8999999999999997 y[1] (closed_form) 1.2919999999999996 y[1] (numeric) 1.2919999999999954 absolute error 4.218847493575595e-15 relative error 3.265361837132814e-13% Desired digits 16 Estimated correct digits 12 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9999999999999998 y[1] (closed_form) 1.3999999999999997 y[1] (numeric) 1.3999999999999955 absolute error 4.218847493575595e-15 relative error 3.0134624954111396e-13% Desired digits 16 Estimated correct digits 12 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0999999999999996 y[1] (closed_form) 1.5119999999999996 y[1] (numeric) 1.5119999999999956 absolute error 3.9968028886505635e-15 relative error 2.643388153869421e-13% Desired digits 16 Estimated correct digits 12 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1999999999999997 y[1] (closed_form) 1.6279999999999997 y[1] (numeric) 1.6279999999999957 absolute error 3.9968028886505635e-15 relative error 2.4550386293922384e-13% Desired digits 16 Estimated correct digits 12 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3 y[1] (closed_form) 1.7479999999999998 y[1] (numeric) 1.7479999999999958 absolute error 3.9968028886505635e-15 relative error 2.2865005083813295e-13% Desired digits 16 Estimated correct digits 12 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4 y[1] (closed_form) 1.8719999999999999 y[1] (numeric) 1.871999999999996 absolute error 3.9968028886505635e-15 relative error 2.135044278125301e-13% Desired digits 16 Estimated correct digits 12 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5 y[1] (closed_form) 2.0 y[1] (numeric) 1.999999999999996 absolute error 3.9968028886505635e-15 relative error 1.9984014443252818e-13% Desired digits 16 Estimated correct digits 12 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6 y[1] (closed_form) 2.132 y[1] (numeric) 2.131999999999996 absolute error 3.9968028886505635e-15 relative error 1.8746730246953862e-13% Desired digits 16 Estimated correct digits 12 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7 y[1] (closed_form) 2.2680000000000002 y[1] (numeric) 2.2679999999999962 absolute error 3.9968028886505635e-15 relative error 1.7622587692462801e-13% Desired digits 16 Estimated correct digits 12 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8000000000000003 y[1] (closed_form) 2.4080000000000004 y[1] (numeric) 2.4079999999999964 absolute error 3.9968028886505635e-15 relative error 1.6598018640575427e-13% Desired digits 16 Estimated correct digits 12 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9000000000000004 y[1] (closed_form) 2.5520000000000005 y[1] (numeric) 2.5519999999999965 absolute error 3.9968028886505635e-15 relative error 1.566145332543324e-13% Desired digits 16 Estimated correct digits 12 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0000000000000004 y[1] (closed_form) 2.7000000000000006 y[1] (numeric) 2.6999999999999966 absolute error 3.9968028886505635e-15 relative error 1.480297366166875e-13% Desired digits 16 Estimated correct digits 13 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1000000000000005 y[1] (closed_form) 2.8520000000000008 y[1] (numeric) 2.8519999999999968 absolute error 3.9968028886505635e-15 relative error 1.4014035373950078e-13% Desired digits 16 Estimated correct digits 13 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2000000000000006 y[1] (closed_form) 3.008000000000001 y[1] (numeric) 3.007999999999997 absolute error 3.9968028886505635e-15 relative error 1.3287243645779795e-13% Desired digits 16 Estimated correct digits 13 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3000000000000007 y[1] (closed_form) 3.168000000000001 y[1] (numeric) 3.167999999999997 absolute error 3.9968028886505635e-15 relative error 1.2616170734376775e-13% Desired digits 16 Estimated correct digits 13 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.400000000000001 y[1] (closed_form) 3.3320000000000016 y[1] (numeric) 3.331999999999997 absolute error 4.440892098500626e-15 relative error 1.3328007498501273e-13% Desired digits 16 Estimated correct digits 13 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.500000000000001 y[1] (closed_form) 3.5000000000000013 y[1] (numeric) 3.4999999999999973 absolute error 3.9968028886505635e-15 relative error 1.1419436824715892e-13% Desired digits 16 Estimated correct digits 13 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.600000000000001 y[1] (closed_form) 3.6720000000000015 y[1] (numeric) 3.6719999999999975 absolute error 3.9968028886505635e-15 relative error 1.0884539457109374e-13% Desired digits 16 Estimated correct digits 13 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.700000000000001 y[1] (closed_form) 3.848000000000002 y[1] (numeric) 3.8479999999999976 absolute error 4.440892098500626e-15 relative error 1.154077988175838e-13% Desired digits 16 Estimated correct digits 13 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.800000000000001 y[1] (closed_form) 4.028000000000002 y[1] (numeric) 4.027999999999998 absolute error 4.440892098500626e-15 relative error 1.1025054862216047e-13% Desired digits 16 Estimated correct digits 13 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9000000000000012 y[1] (closed_form) 4.212000000000002 y[1] (numeric) 4.211999999999998 absolute error 4.440892098500626e-15 relative error 1.0543428533952098e-13% Desired digits 16 Estimated correct digits 13 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.000000000000001 y[1] (closed_form) 4.400000000000002 y[1] (numeric) 4.399999999999998 absolute error 4.440892098500626e-15 relative error 1.0092936587501418e-13% Desired digits 16 Estimated correct digits 13 Correct digits 15 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.1000000000000005 y[1] (closed_form) 4.592000000000001 y[1] (numeric) 4.591999999999998 absolute error 3.552713678800501e-15 relative error 7.73674581620318e-14% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.2 y[1] (closed_form) 4.788 y[1] (numeric) 4.787999999999998 absolute error 2.6645352591003757e-15 relative error 5.565027692356674e-14% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.3 y[1] (closed_form) 4.9879999999999995 y[1] (numeric) 4.987999999999998 absolute error 1.7763568394002505e-15 relative error 3.56126070449128e-14% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.3999999999999995 y[1] (closed_form) 5.191999999999998 y[1] (numeric) 5.1919999999999975 absolute error 8.881784197001252e-16 relative error 1.710667218220581e-14% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.499999999999999 y[1] (closed_form) 5.399999999999999 y[1] (numeric) 5.399999999999998 absolute error 8.881784197001252e-16 relative error 1.6447748512965286e-14% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.599999999999999 y[1] (closed_form) 5.611999999999998 y[1] (numeric) 5.611999999999997 absolute error 8.881784197001252e-16 relative error 1.5826415176409934e-14% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.699999999999998 y[1] (closed_form) 5.827999999999997 y[1] (numeric) 5.827999999999998 absolute error 8.881784197001252e-16 relative error 1.5239849342829886e-14% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.799999999999998 y[1] (closed_form) 6.047999999999996 y[1] (numeric) 6.047999999999997 absolute error 1.7763568394002505e-15 relative error 2.9370979487438023e-14% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.899999999999998 y[1] (closed_form) 6.271999999999995 y[1] (numeric) 6.271999999999998 absolute error 2.6645352591003757e-15 relative error 4.248302390147286e-14% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.999999999999997 y[1] (closed_form) 6.499999999999995 y[1] (numeric) 6.499999999999997 absolute error 2.6645352591003757e-15 relative error 4.099285014000581e-14% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = ( 0.1 * x + 0.2 ) + ( 0.3 * x + 0.1 ) ; Iterations 101 Total Elapsed Time 0 Seconds Elapsed Time(since restart) 0 Seconds Time to Timeout 3 Minutes 0.0 Seconds Percent Done 101.99999999999996%