##############ECHO OF PROBLEM################# ##############temp/div_exp_exppostode.ode################# diff ( y , x , 1 ) = exp ( 0.1 * x ) / exp ( 0.2 * x ) ; ! #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(- 10.0 * (exp(0.1* x)/exp(0.2*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 16.487212707001284 $glob_desired_digits_correct 16 estimated_h 1.0e-06 estimated_answer 16.487212707001284 desired_abs_gbl_error 1.6487212707001283e-15 range 10.0 estimated_steps 10000000.0 step_error 1.737904814059813e-20 est_needed_step_err 1.737904814059813e-20 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 5.636828045356143e-208 estimated_step_error 5.636828045356143e-208 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 16.487212707001284 $glob_desired_digits_correct 16 estimated_h 2.0e-06 estimated_answer 16.487212707001284 desired_abs_gbl_error 1.6487212707001283e-15 range 10.0 estimated_steps 5000000.0 step_error 2.4577685581568797e-20 est_needed_step_err 2.4577685581568797e-20 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 3.7828112542548416e-200 estimated_step_error 3.7828112542548416e-200 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 16.487212707001284 $glob_desired_digits_correct 16 estimated_h 4.0e-06 estimated_answer 16.487212707001284 desired_abs_gbl_error 1.6487212707001283e-15 range 10.0 estimated_steps 2500000.0 step_error 3.475809628119626e-20 est_needed_step_err 3.475809628119626e-20 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.5386016430602295e-192 estimated_step_error 2.5386016430602295e-192 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 16.487212707001284 $glob_desired_digits_correct 16 estimated_h 8.0e-06 estimated_answer 16.487212707001284 desired_abs_gbl_error 1.6487212707001283e-15 range 10.0 estimated_steps 1250000.0 step_error 4.9155371163137593e-20 est_needed_step_err 4.9155371163137593e-20 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.7036267014141612e-184 estimated_step_error 1.7036267014141612e-184 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 16.487212707001284 $glob_desired_digits_correct 16 estimated_h 1.6e-05 estimated_answer 16.487212707001284 desired_abs_gbl_error 1.6487212707001283e-15 range 10.0 estimated_steps 625000.0 step_error 6.951619256239252e-20 est_needed_step_err 6.951619256239252e-20 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.1432844956135131e-176 estimated_step_error 1.1432844956135131e-176 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 16.487212707001284 $glob_desired_digits_correct 16 estimated_h 3.2e-05 estimated_answer 16.487212707001284 desired_abs_gbl_error 1.6487212707001283e-15 range 10.0 estimated_steps 312500.0 step_error 9.831074232627519e-20 est_needed_step_err 9.831074232627519e-20 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 7.672451963496331e-169 estimated_step_error 7.672451963496331e-169 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 16.487212707001284 $glob_desired_digits_correct 16 estimated_h 6.4e-05 estimated_answer 16.487212707001284 desired_abs_gbl_error 1.6487212707001283e-15 range 10.0 estimated_steps 156250.0 step_error 1.3903238512478503e-19 est_needed_step_err 1.3903238512478503e-19 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 5.148894804097448e-161 estimated_step_error 5.148894804097448e-161 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 16.487212707001284 $glob_desired_digits_correct 16 estimated_h 0.000128 estimated_answer 16.487212707001284 desired_abs_gbl_error 1.6487212707001283e-15 range 10.0 estimated_steps 78125.0 step_error 1.9662148465255037e-19 est_needed_step_err 1.9662148465255037e-19 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 3.4553640739908977e-153 estimated_step_error 3.4553640739908977e-153 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 16.487212707001284 $glob_desired_digits_correct 16 estimated_h 0.000256 estimated_answer 16.487212707001284 desired_abs_gbl_error 1.6487212707001283e-15 range 10.0 estimated_steps 39062.5 step_error 2.7806477024957007e-19 est_needed_step_err 2.7806477024957007e-19 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.3188545871388134e-145 estimated_step_error 2.3188545871388134e-145 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 16.487212707001284 $glob_desired_digits_correct 16 estimated_h 0.000512 estimated_answer 16.487212707001284 desired_abs_gbl_error 1.6487212707001283e-15 range 10.0 estimated_steps 19531.25 step_error 3.9324296930510075e-19 est_needed_step_err 3.9324296930510075e-19 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.5561556425145316e-137 estimated_step_error 1.5561556425145316e-137 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 16.487212707001284 $glob_desired_digits_correct 16 estimated_h 0.001024 estimated_answer 16.487212707001284 desired_abs_gbl_error 1.6487212707001283e-15 range 10.0 estimated_steps 9765.625 step_error 5.561295404991401e-19 est_needed_step_err 5.561295404991401e-19 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.044316590385986e-129 estimated_step_error 1.044316590385986e-129 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 16.487212707001284 $glob_desired_digits_correct 16 estimated_h 0.002048 estimated_answer 16.487212707001284 desired_abs_gbl_error 1.6487212707001283e-15 range 10.0 estimated_steps 4882.8125 step_error 7.864859386102015e-19 est_needed_step_err 7.864859386102015e-19 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 7.0082660678633e-122 estimated_step_error 7.0082660678633e-122 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 16.487212707001284 $glob_desired_digits_correct 16 estimated_h 0.004096 estimated_answer 16.487212707001284 desired_abs_gbl_error 1.6487212707001283e-15 range 10.0 estimated_steps 2441.40625 step_error 1.1122590809982803e-18 est_needed_step_err 1.1122590809982803e-18 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 4.703135618711724e-114 estimated_step_error 4.703135618711724e-114 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 16.487212707001284 $glob_desired_digits_correct 16 estimated_h 0.008192 estimated_answer 16.487212707001284 desired_abs_gbl_error 1.6487212707001283e-15 range 10.0 estimated_steps 1220.703125 step_error 1.572971877220403e-18 est_needed_step_err 1.572971877220403e-18 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 3.1561777696287797e-106 estimated_step_error 3.1561777696287797e-106 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 16.487212707001284 $glob_desired_digits_correct 16 estimated_h 0.016384 estimated_answer 16.487212707001284 desired_abs_gbl_error 1.6487212707001283e-15 range 10.0 estimated_steps 610.3515625 step_error 2.2245181619965605e-18 est_needed_step_err 2.2245181619965605e-18 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.1180171816020347e-98 estimated_step_error 2.1180171816020347e-98 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 16.487212707001284 $glob_desired_digits_correct 16 estimated_h 0.032768 estimated_answer 16.487212707001284 desired_abs_gbl_error 1.6487212707001283e-15 range 10.0 estimated_steps 305.17578125 step_error 3.145943754440806e-18 est_needed_step_err 3.145943754440806e-18 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.4212996164003418e-90 estimated_step_error 1.4212996164003418e-90 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 16.487212707001284 $glob_desired_digits_correct 16 estimated_h 0.065536 estimated_answer 16.487212707001284 desired_abs_gbl_error 1.6487212707001283e-15 range 10.0 estimated_steps 152.587890625 step_error 4.449036323993121e-18 est_needed_step_err 4.449036323993121e-18 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 9.53713834436789e-83 estimated_step_error 9.53713834436789e-83 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) -16.487212707001284 y[1] (numeric) -16.487212707001284 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) -16.32316219955379 y[1] (numeric) -16.323162199553792 absolute error 3.552713678800501e-15 relative error 2.1764861706132026e-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) -16.160744021928938 y[1] (numeric) -16.160744021928934 absolute error 3.552713678800501e-15 relative error 2.1983602202842458e-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) -15.999941932173606 y[1] (numeric) -15.999941932173604 absolute error 1.7763568394002505e-15 relative error 1.1102270539046456e-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) -15.840739849944821 y[1] (numeric) -15.84073984994482 absolute error 1.7763568394002505e-15 relative error 1.121385021297751e-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] -4.500000000000002 y[1] (closed_form) -15.683121854901694 y[1] (numeric) -15.68312185490169 absolute error 3.552713678800501e-15 relative error 2.265310256254953e-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] -4.400000000000002 y[1] (closed_form) -15.527072185113365 y[1] (numeric) -15.527072185113363 absolute error 1.7763568394002505e-15 relative error 1.1440385014138975e-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] -4.3000000000000025 y[1] (closed_form) -15.37257523548282 y[1] (numeric) -15.372575235482817 absolute error 3.552713678800501e-15 relative error 2.3110725590076566e-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] -4.200000000000003 y[1] (closed_form) -15.219615556186344 y[1] (numeric) -15.21961555618634 absolute error 3.552713678800501e-15 relative error 2.3342992243693193e-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] -4.100000000000003 y[1] (closed_form) -15.068177851128544 y[1] (numeric) -15.068177851128539 absolute error 5.329070518200751e-15 relative error 3.536638982398012e-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] -4.0000000000000036 y[1] (closed_form) -14.918246976412707 y[1] (numeric) -14.918246976412705 absolute error 1.7763568394002505e-15 relative error 1.1907275983624983e-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] -3.9000000000000035 y[1] (closed_form) -14.769807938826428 y[1] (numeric) -14.769807938826428 absolute error 0.0 relative error 0.0% 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] -3.8000000000000034 y[1] (closed_form) -14.622845894342252 y[1] (numeric) -14.622845894342248 absolute error 3.552713678800501e-15 relative error 2.4295637829125225e-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] -3.7000000000000033 y[1] (closed_form) -14.47734614663325 y[1] (numeric) -14.477346146633247 absolute error 3.552713678800501e-15 relative error 2.453981304872437e-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] -3.600000000000003 y[1] (closed_form) -14.333294145603405 y[1] (numeric) -14.333294145603405 absolute error 0.0 relative error 0.0% 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] -3.500000000000003 y[1] (closed_form) -14.190675485932578 y[1] (numeric) -14.190675485932575 absolute error 3.552713678800501e-15 relative error 2.503555015631467e-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] -3.400000000000003 y[1] (closed_form) -14.049475905635942 y[1] (numeric) -14.04947590563594 absolute error 1.7763568394002505e-15 relative error 1.264358080921485e-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] -3.300000000000003 y[1] (closed_form) -13.909681284637808 y[1] (numeric) -13.909681284637806 absolute error 1.7763568394002505e-15 relative error 1.277065090888964e-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] -3.200000000000003 y[1] (closed_form) -13.771277643359577 y[1] (numeric) -13.771277643359573 absolute error 3.552713678800501e-15 relative error 2.5797996168595128e-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] -3.1000000000000028 y[1] (closed_form) -13.634251141321784 y[1] (numeric) -13.63425114132178 absolute error 3.552713678800501e-15 relative error 2.6057270340526237e-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] -3.0000000000000027 y[1] (closed_form) -13.498588075760034 y[1] (numeric) -13.498588075760033 absolute error 1.7763568394002505e-15 relative error 1.3159575130602933e-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] -2.9000000000000026 y[1] (closed_form) -13.364274880254726 y[1] (numeric) -13.364274880254722 absolute error 3.552713678800501e-15 relative error 2.6583662118844308e-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] -2.8000000000000025 y[1] (closed_form) -13.231298123374371 y[1] (numeric) -13.231298123374371 absolute error 0.0 relative error 0.0% 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] -2.7000000000000024 y[1] (closed_form) -13.099644507332478 y[1] (numeric) -13.099644507332474 absolute error 3.552713678800501e-15 relative error 2.712068771646347e-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] -2.6000000000000023 y[1] (closed_form) -12.969300866657722 y[1] (numeric) -12.969300866657719 absolute error 3.552713678800501e-15 relative error 2.7393255159451472e-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] -2.500000000000002 y[1] (closed_form) -12.840254166877417 y[1] (numeric) -12.840254166877415 absolute error 1.7763568394002505e-15 relative error 1.3834280975391606e-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] -2.400000000000002 y[1] (closed_form) -12.71249150321405 y[1] (numeric) -12.712491503214046 absolute error 3.552713678800501e-15 relative error 2.7946635621367235e-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] -2.300000000000002 y[1] (closed_form) -12.58600009929478 y[1] (numeric) -12.586000099294779 absolute error 1.7763568394002505e-15 relative error 1.4113751989401172e-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] -2.200000000000002 y[1] (closed_form) -12.460767305873812 y[1] (numeric) -12.460767305873809 absolute error 3.552713678800501e-15 relative error 2.851119511015832e-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] -2.100000000000002 y[1] (closed_form) -12.336780599567437 y[1] (numeric) -12.336780599567433 absolute error 3.552713678800501e-15 relative error 2.8797737384784727e-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] -2.0000000000000018 y[1] (closed_form) -12.214027581601702 y[1] (numeric) -12.214027581601698 absolute error 3.552713678800501e-15 relative error 2.908715945714781e-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] -1.9000000000000017 y[1] (closed_form) -12.092495976572517 y[1] (numeric) -12.092495976572515 absolute error 1.7763568394002505e-15 relative error 1.468974513484799e-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] -1.8000000000000016 y[1] (closed_form) -11.972173631218103 y[1] (numeric) -11.972173631218102 absolute error 1.7763568394002505e-15 relative error 1.4837379527877058e-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] -1.7000000000000015 y[1] (closed_form) -11.853048513203657 y[1] (numeric) -11.853048513203655 absolute error 1.7763568394002505e-15 relative error 1.498649767122344e-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] -1.6000000000000014 y[1] (closed_form) -11.735108709918105 y[1] (numeric) -11.735108709918102 absolute error 3.552713678800501e-15 relative error 3.027422895365146e-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] -1.5000000000000013 y[1] (closed_form) -11.618342427282833 y[1] (numeric) -11.61834242728283 absolute error 3.552713678800501e-15 relative error 3.0578490012980013e-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] -1.4000000000000012 y[1] (closed_form) -11.502737988572276 y[1] (numeric) -11.502737988572271 absolute error 5.329070518200751e-15 relative error 4.632871342018804e-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] -1.3000000000000012 y[1] (closed_form) -11.388283833246218 y[1] (numeric) -11.388283833246216 absolute error 1.7763568394002505e-15 relative error 1.5598108243618493e-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] -1.200000000000001 y[1] (closed_form) -11.274968515793757 y[1] (numeric) -11.274968515793756 absolute error 1.7763568394002505e-15 relative error 1.5754871837663797e-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] -1.100000000000001 y[1] (closed_form) -11.162780704588712 y[1] (numeric) -11.162780704588712 absolute error 0.0 relative error 0.0% 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] -1.0000000000000009 y[1] (closed_form) -11.051709180756477 y[1] (numeric) -11.051709180756475 absolute error 1.7763568394002505e-15 relative error 1.60731413607344e-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] -0.9000000000000009 y[1] (closed_form) -10.941742837052104 y[1] (numeric) -10.941742837052102 absolute error 1.7763568394002505e-15 relative error 1.6234679116977237e-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] -0.8000000000000009 y[1] (closed_form) -10.832870676749586 y[1] (numeric) -10.832870676749584 absolute error 1.7763568394002505e-15 relative error 1.639784035466071e-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] -0.700000000000001 y[1] (closed_form) -10.725081812542165 y[1] (numeric) -10.725081812542163 absolute error 1.7763568394002505e-15 relative error 1.6562641390044565e-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] -0.600000000000001 y[1] (closed_form) -10.618365465453596 y[1] (numeric) -10.618365465453595 absolute error 1.7763568394002505e-15 relative error 1.672909870336967e-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] -0.500000000000001 y[1] (closed_form) -10.512710963760242 y[1] (numeric) -10.512710963760238 absolute error 3.552713678800501e-15 relative error 3.3794457881012146e-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] -0.400000000000001 y[1] (closed_form) -10.408107741923882 y[1] (numeric) -10.40810774192388 absolute error 1.7763568394002505e-15 relative error 1.7067048914617603e-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] -0.30000000000000104 y[1] (closed_form) -10.304545339535169 y[1] (numeric) -10.304545339535165 absolute error 3.552713678800501e-15 relative error 3.447715121568635e-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] -0.20000000000000104 y[1] (closed_form) -10.20201340026756 y[1] (numeric) -10.202013400267555 absolute error 5.329070518200751e-15 relative error 5.2235478518985184e-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] -0.10000000000000103 y[1] (closed_form) -10.100501670841682 y[1] (numeric) -10.100501670841677 absolute error 5.329070518200751e-15 relative error 5.276045380582246e-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] -1.0269562977782698e-15 y[1] (closed_form) -10.000000000000002 y[1] (numeric) -9.999999999999996 absolute error 5.329070518200751e-15 relative error 5.329070518200751e-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] 0.09999999999999898 y[1] (closed_form) -9.900498337491682 y[1] (numeric) -9.900498337491676 absolute error 5.329070518200751e-15 relative error 5.382628567311982e-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] 0.19999999999999898 y[1] (closed_form) -9.801986733067555 y[1] (numeric) -9.80198673306755 absolute error 5.329070518200751e-15 relative error 5.436724883765484e-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] 0.299999999999999 y[1] (closed_form) -9.704455335485083 y[1] (numeric) -9.704455335485077 absolute error 5.329070518200751e-15 relative error 5.491364877237981e-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] 0.399999999999999 y[1] (closed_form) -9.607894391523233 y[1] (numeric) -9.607894391523228 absolute error 5.329070518200751e-15 relative error 5.5465540117743546e-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] 0.499999999999999 y[1] (closed_form) -9.51229424500714 y[1] (numeric) -9.512294245007135 absolute error 5.329070518200751e-15 relative error 5.60229780633405e-14% Desired digits 16 Estimated correct digits 12 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] 0.599999999999999 y[1] (closed_form) -9.417645335842487 y[1] (numeric) -9.417645335842483 absolute error 3.552713678800501e-15 relative error 3.772401223561984e-14% Desired digits 16 Estimated correct digits 12 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] 0.699999999999999 y[1] (closed_form) -9.323938199059482 y[1] (numeric) -9.323938199059478 absolute error 3.552713678800501e-15 relative error 3.810314486167302e-14% Desired digits 16 Estimated correct digits 12 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] 0.7999999999999989 y[1] (closed_form) -9.231163463866357 y[1] (numeric) -9.231163463866354 absolute error 3.552713678800501e-15 relative error 3.8486087833965094e-14% Desired digits 16 Estimated correct digits 12 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] 0.8999999999999989 y[1] (closed_form) -9.139311852712282 y[1] (numeric) -9.139311852712277 absolute error 5.329070518200751e-15 relative error 5.830931917066861e-14% Desired digits 16 Estimated correct digits 12 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] 0.9999999999999989 y[1] (closed_form) -9.048374180359597 y[1] (numeric) -9.048374180359591 absolute error 5.329070518200751e-15 relative error 5.889533757089791e-14% Desired digits 16 Estimated correct digits 12 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] 1.099999999999999 y[1] (closed_form) -8.958341352965284 y[1] (numeric) -8.958341352965277 absolute error 7.105427357601002e-15 relative error 7.931632740528521e-14% Desired digits 16 Estimated correct digits 12 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] 1.199999999999999 y[1] (closed_form) -8.869204367171575 y[1] (numeric) -8.86920436717157 absolute error 5.329070518200751e-15 relative error 6.008510231115819e-14% Desired digits 16 Estimated correct digits 12 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] 1.2999999999999992 y[1] (closed_form) -8.780954309205613 y[1] (numeric) -8.780954309205608 absolute error 5.329070518200751e-15 relative error 6.068896762865466e-14% Desired digits 16 Estimated correct digits 12 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] 1.3999999999999992 y[1] (closed_form) -8.69358235398806 y[1] (numeric) -8.693582353988052 absolute error 7.105427357601002e-15 relative error 8.173186919131773e-14% Desired digits 16 Estimated correct digits 12 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] 1.4999999999999993 y[1] (closed_form) -8.607079764250578 y[1] (numeric) -8.607079764250573 absolute error 5.329070518200751e-15 relative error 6.191496609959389e-14% Desired digits 16 Estimated correct digits 12 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] 1.5999999999999994 y[1] (closed_form) -8.521437889662115 y[1] (numeric) -8.521437889662108 absolute error 7.105427357601002e-15 relative error 8.338296247187387e-14% Desired digits 16 Estimated correct digits 12 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] 1.6999999999999995 y[1] (closed_form) -8.436648165963836 y[1] (numeric) -8.436648165963831 absolute error 5.329070518200751e-15 relative error 6.316573138251685e-14% Desired digits 16 Estimated correct digits 12 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] 1.7999999999999996 y[1] (closed_form) -8.352702114112722 y[1] (numeric) -8.352702114112715 absolute error 7.105427357601002e-15 relative error 8.506741004920641e-14% Desired digits 16 Estimated correct digits 12 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] 1.8999999999999997 y[1] (closed_form) -8.269591339433624 y[1] (numeric) -8.269591339433617 absolute error 7.105427357601002e-15 relative error 8.592235173361838e-14% Desired digits 16 Estimated correct digits 12 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] 1.9999999999999998 y[1] (closed_form) -8.187307530779819 y[1] (numeric) -8.187307530779814 absolute error 5.329070518200751e-15 relative error 6.508941429360443e-14% Desired digits 16 Estimated correct digits 12 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] 2.0999999999999996 y[1] (closed_form) -8.10584245970187 y[1] (numeric) -8.105842459701867 absolute error 3.552713678800501e-15 relative error 4.3829049188443865e-14% Desired digits 16 Estimated correct digits 12 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] 2.1999999999999997 y[1] (closed_form) -8.025187979624786 y[1] (numeric) -8.02518797962478 absolute error 5.329070518200751e-15 relative error 6.64043076838919e-14% Desired digits 16 Estimated correct digits 12 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] 2.3 y[1] (closed_form) -7.945336025033339 y[1] (numeric) -7.945336025033336 absolute error 3.552713678800501e-15 relative error 4.471445471414903e-14% Desired digits 16 Estimated correct digits 12 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] 2.4 y[1] (closed_form) -7.866278610665534 y[1] (numeric) -7.86627861066553 absolute error 3.552713678800501e-15 relative error 4.516384245510369e-14% Desired digits 16 Estimated correct digits 12 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] 2.5 y[1] (closed_form) -7.788007830714047 y[1] (numeric) -7.788007830714045 absolute error 2.6645352591003757e-15 relative error 3.42133099634554e-14% Desired digits 16 Estimated correct digits 12 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] 2.6 y[1] (closed_form) -7.710515858035663 y[1] (numeric) -7.7105158580356585 absolute error 4.440892098500626e-15 relative error 5.759526574181759e-14% Desired digits 16 Estimated correct digits 12 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] 2.7 y[1] (closed_form) -7.633794943368532 y[1] (numeric) -7.633794943368527 absolute error 4.440892098500626e-15 relative error 5.817410778577991e-14% Desired digits 16 Estimated correct digits 12 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] 2.8000000000000003 y[1] (closed_form) -7.5578374145572536 y[1] (numeric) -7.55783741455725 absolute error 3.552713678800501e-15 relative error 4.7007013831199526e-14% Desired digits 16 Estimated correct digits 12 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] 2.9000000000000004 y[1] (closed_form) -7.482635675785652 y[1] (numeric) -7.482635675785647 absolute error 4.440892098500626e-15 relative error 5.93493027179136e-14% Desired digits 16 Estimated correct digits 12 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] 3.0000000000000004 y[1] (closed_form) -7.4081822068171785 y[1] (numeric) -7.408182206817173 absolute error 5.329070518200751e-15 relative error 7.193492775186899e-14% Desired digits 16 Estimated correct digits 12 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] 3.1000000000000005 y[1] (closed_form) -7.334469562242891 y[1] (numeric) -7.334469562242887 absolute error 3.552713678800501e-15 relative error 4.8438590529975236e-14% Desired digits 16 Estimated correct digits 12 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] 3.2000000000000006 y[1] (closed_form) -7.261490370736908 y[1] (numeric) -7.261490370736904 absolute error 4.440892098500626e-15 relative error 6.115675807265385e-14% Desired digits 16 Estimated correct digits 12 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] 3.3000000000000007 y[1] (closed_form) -7.189237334319261 y[1] (numeric) -7.189237334319256 absolute error 4.440892098500626e-15 relative error 6.177139370961006e-14% Desired digits 16 Estimated correct digits 12 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] 3.400000000000001 y[1] (closed_form) -7.117703227626096 y[1] (numeric) -7.117703227626092 absolute error 4.440892098500626e-15 relative error 6.239220653741357e-14% Desired digits 16 Estimated correct digits 12 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] 3.500000000000001 y[1] (closed_form) -7.046880897187133 y[1] (numeric) -7.046880897187129 absolute error 4.440892098500626e-15 relative error 6.301925863786451e-14% Desired digits 16 Estimated correct digits 12 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] 3.600000000000001 y[1] (closed_form) -6.97676326071031 y[1] (numeric) -6.976763260710305 absolute error 5.329070518200751e-15 relative error 7.638313526003453e-14% Desired digits 16 Estimated correct digits 12 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] 3.700000000000001 y[1] (closed_form) -6.907343306373544 y[1] (numeric) -6.907343306373541 absolute error 3.552713678800501e-15 relative error 5.143386568787367e-14% Desired digits 16 Estimated correct digits 12 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] 3.800000000000001 y[1] (closed_form) -6.838614092123557 y[1] (numeric) -6.838614092123553 absolute error 4.440892098500626e-15 relative error 6.493848078977681e-14% Desired digits 16 Estimated correct digits 12 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] 3.9000000000000012 y[1] (closed_form) -6.770568744981647 y[1] (numeric) -6.770568744981642 absolute error 5.329070518200751e-15 relative error 7.870934804628731e-14% Desired digits 16 Estimated correct digits 12 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] 4.000000000000001 y[1] (closed_form) -6.703200460356392 y[1] (numeric) -6.7032004603563875 absolute error 4.440892098500626e-15 relative error 6.625032512103204e-14% Desired digits 16 Estimated correct digits 12 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] 4.1000000000000005 y[1] (closed_form) -6.636502501363193 y[1] (numeric) -6.636502501363188 absolute error 4.440892098500626e-15 relative error 6.691615195787887e-14% Desired digits 16 Estimated correct digits 12 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) -6.570468198150568 y[1] (numeric) -6.570468198150563 absolute error 5.329070518200751e-15 relative error 8.110640455882215e-14% Desired digits 16 Estimated correct digits 12 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) -6.505090947233167 y[1] (numeric) -6.50509094723316 absolute error 6.217248937900877e-15 relative error 9.557512705560683e-14% Desired digits 16 Estimated correct digits 12 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) -6.440364210831414 y[1] (numeric) -6.440364210831408 absolute error 6.217248937900877e-15 relative error 9.653567305160627e-14% Desired digits 16 Estimated correct digits 12 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) -6.376281516217733 y[1] (numeric) -6.376281516217728 absolute error 5.329070518200751e-15 relative error 8.357646231030647e-14% Desired digits 16 Estimated correct digits 12 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) -6.31283645506926 y[1] (numeric) -6.312836455069254 absolute error 6.217248937900877e-15 relative error 9.84858230076335e-14% Desired digits 16 Estimated correct digits 12 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) -6.250022682827009 y[1] (numeric) -6.2500226828270025 absolute error 6.217248937900877e-15 relative error 9.947562198428202e-14% Desired digits 16 Estimated correct digits 12 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) -6.187833918061409 y[1] (numeric) -6.187833918061403 absolute error 5.329070518200751e-15 relative error 8.612174451945052e-14% Desired digits 16 Estimated correct digits 12 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) -6.1262639418441625 y[1] (numeric) -6.126263941844155 absolute error 7.105427357601002e-15 relative error 1.15983043255268e-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] 4.999999999999997 y[1] (closed_form) -6.065306597126336 y[1] (numeric) -6.0653065971263285 absolute error 7.105427357601002e-15 relative error 1.1714869221891374e-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 Finished! diff ( y , x , 1 ) = exp ( 0.1 * x ) / exp ( 0.2 * x ) ; 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%