##############ECHO OF PROBLEM################# ##############temp/mtest5postode.ode################# diff ( y1 , x , 1 ) = m1 * y2 ; diff ( y2 , x , 2 ) = diff ( y1 , x , 1 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=0.5 x_end=5.0 $array_y1_init[0 + 1] = exact_soln_y1(x_start) $array_y2_init[0 + 1] = exact_soln_y2(x_start) $array_y2_init[1 + 1] = exact_soln_y2p(x_start) $glob_max_iter=20 #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=10 $glob_display_interval=0.01 $glob_look_poles=true $glob_max_iter=1000000000 $glob_max_minutes=30.0 $glob_subiter_method=3 #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y1 (x) return( - cos(x)) end def exact_soln_y2 (x) return( - sin(x)) end def exact_soln_y2p (x) return( - cos(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 10 estimated_h 1.0e-06 estimated_answer 1.0 desired_abs_gbl_error 1.0e-10 range 4.5 estimated_steps 4500000.0 step_error 2.2222222222222222e-17 est_needed_step_err 2.2222222222222222e-17 opt_iter 1 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 best_h 2.0e-06 opt_iter 2 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 best_h 4.0e-06 opt_iter 3 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 best_h 8.0e-06 opt_iter 4 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 best_h 1.6e-05 opt_iter 5 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 best_h 3.2e-05 opt_iter 6 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 best_h 6.4e-05 opt_iter 7 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 best_h 0.000128 opt_iter 8 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 best_h 0.000256 opt_iter 9 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 best_h 0.000512 opt_iter 10 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 best_h 0.001024 opt_iter 11 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 best_h 0.002048 opt_iter 12 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 best_h 0.004096 opt_iter 13 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 best_h 0.008192 opt_iter 14 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 best_h 0.016384 opt_iter 15 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 best_h 0.032768 opt_iter 16 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 best_h 0.065536 opt_iter 17 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 best_h 0.131072 opt_iter 18 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 best_h 0.1 START of Soultion TOP MAIN SOLVE Loop x[1] 0.5 y1[1] (analytic) -0.8775825618903728 y1[1] (numeric) -0.8775825618903728 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 y2[1] (analytic) -0.479425538604203 y2[1] (numeric) -0.479425538604203 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.51 y1[1] (analytic) -0.8727445076457513 y1[1] (numeric) -0.8727445076457513 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 y2[1] (analytic) -0.4881772468829075 y2[1] (numeric) -0.4881772468829075 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.52 y1[1] (analytic) -0.8678191796776499 y1[1] (numeric) -0.8678191796776499 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 y2[1] (analytic) -0.49688013784373675 y2[1] (numeric) -0.4968801378437367 absolute error 5.551115123125783e-17 relative error 1.1171940072339028e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.53 y1[1] (analytic) -0.862807070514761 y1[1] (numeric) -0.862807070514761 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 y2[1] (analytic) -0.5055333412048469 y2[1] (numeric) -0.5055333412048469 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.54 y1[1] (analytic) -0.8577086813638242 y1[1] (numeric) -0.8577086813638242 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 y2[1] (analytic) -0.5141359916531132 y2[1] (numeric) -0.5141359916531131 absolute error 1.1102230246251565e-16 relative error 2.1593956514412287e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.55 y1[1] (analytic) -0.8525245220595057 y1[1] (numeric) -0.8525245220595058 absolute error 1.1102230246251565e-16 relative error 1.302276938548477e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.5226872289306592 y2[1] (numeric) -0.5226872289306592 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.56 y1[1] (analytic) -0.8472551110134161 y1[1] (numeric) -0.8472551110134162 absolute error 1.1102230246251565e-16 relative error 1.3103763083791848e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.5311861979208834 y2[1] (numeric) -0.5311861979208835 absolute error 1.1102230246251565e-16 relative error 2.090082590569337e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.5700000000000001 y1[1] (analytic) -0.8419009751622687 y1[1] (numeric) -0.8419009751622688 absolute error 1.1102230246251565e-16 relative error 1.3187097501712375e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.5396320487339693 y2[1] (numeric) -0.5396320487339694 absolute error 1.1102230246251565e-16 relative error 2.057370438301155e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.5800000000000001 y1[1] (analytic) -0.8364626499151869 y1[1] (numeric) -0.836462649915187 absolute error 1.1102230246251565e-16 relative error 1.3272834414516027e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.5480239367918737 y2[1] (numeric) -0.5480239367918738 absolute error 1.1102230246251565e-16 relative error 2.0258659341130067e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.5900000000000001 y1[1] (analytic) -0.8309406791001634 y1[1] (numeric) -0.8309406791001636 absolute error 1.1102230246251565e-16 relative error 1.3361038309346361e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.5563610229127839 y2[1] (numeric) -0.5563610229127841 absolute error 2.220446049250313e-16 relative error 3.9910165482573604e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6000000000000001 y1[1] (analytic) -0.8253356149096782 y1[1] (numeric) -0.8253356149096783 absolute error 1.1102230246251565e-16 relative error 1.3451776520593448e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.5646424733950355 y2[1] (numeric) -0.5646424733950358 absolute error 3.3306690738754696e-16 relative error 5.898722166345543e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6100000000000001 y1[1] (analytic) -0.8196480178454795 y1[1] (numeric) -0.8196480178454796 absolute error 1.1102230246251565e-16 relative error 1.3545119373843914e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.5728674601004814 y2[1] (numeric) -0.5728674601004818 absolute error 4.440892098500626e-16 relative error 7.752041105147935e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6200000000000001 y1[1] (analytic) -0.8138784566625339 y1[1] (numeric) -0.813878456662534 absolute error 1.1102230246251565e-16 relative error 1.3641140339035891e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.5810351605373052 y2[1] (numeric) -0.5810351605373058 absolute error 5.551115123125783e-16 relative error 9.553836841805678e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6300000000000001 y1[1] (analytic) -0.8080275083121518 y1[1] (numeric) -0.808027508312152 absolute error 2.220446049250313e-16 relative error 2.747983238699994e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.5891447579422696 y2[1] (numeric) -0.5891447579422703 absolute error 6.661338147750939e-16 relative error 1.1306793547679643e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6400000000000001 y1[1] (analytic) -0.8020957578842925 y1[1] (numeric) -0.8020957578842927 absolute error 1.1102230246251565e-16 relative error 1.3841527195625853e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.5971954413623921 y2[1] (numeric) -0.597195441362393 absolute error 8.881784197001252e-16 relative error 1.4872491619726846e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6500000000000001 y1[1] (analytic) -0.7960837985490558 y1[1] (numeric) -0.7960837985490559 absolute error 1.1102230246251565e-16 relative error 1.3946057269958913e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.6051864057360397 y2[1] (numeric) -0.6051864057360407 absolute error 9.992007221626409e-16 relative error 1.651062734873222e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6600000000000001 y1[1] (analytic) -0.789992231497365 y1[1] (numeric) -0.7899922314973651 absolute error 1.1102230246251565e-16 relative error 1.4053594204601488e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.6131168519734339 y2[1] (numeric) -0.613116851973435 absolute error 1.1102230246251565e-15 relative error 1.8107853683220275e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6700000000000002 y1[1] (analytic) -0.7838216658808492 y1[1] (numeric) -0.7838216658808492 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 y2[1] (analytic) -0.6209859870365598 y2[1] (numeric) -0.620985987036561 absolute error 1.2212453270876722e-15 relative error 1.9666230037100222e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6800000000000002 y1[1] (analytic) -0.7775727187509278 y1[1] (numeric) -0.7775727187509278 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 y2[1] (analytic) -0.6287930240184686 y2[1] (numeric) -0.62879302401847 absolute error 1.4432899320127035e-15 relative error 2.2953338807561453e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6900000000000002 y1[1] (analytic) -0.7712460149971065 y1[1] (numeric) -0.7712460149971064 absolute error 1.1102230246251565e-16 relative error 1.4395186529804262e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.6365371822219681 y2[1] (numeric) -0.6365371822219696 absolute error 1.5543122344752192e-15 relative error 2.44182473213829e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7000000000000002 y1[1] (analytic) -0.7648421872844883 y1[1] (numeric) -0.7648421872844883 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 y2[1] (analytic) -0.6442176872376912 y2[1] (numeric) -0.644217687237693 absolute error 1.7763568394002505e-15 relative error 2.7573860118883135e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7100000000000002 y1[1] (analytic) -0.7583618759905081 y1[1] (numeric) -0.758361875990508 absolute error 1.1102230246251565e-16 relative error 1.463975260063116e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.6518337710215368 y2[1] (numeric) -0.6518337710215388 absolute error 1.9984014443252818e-15 relative error 3.0658145269052866e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7200000000000002 y1[1] (analytic) -0.7518057291408948 y1[1] (numeric) -0.7518057291408947 absolute error 1.1102230246251565e-16 relative error 1.4767419049783422e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.6593846719714733 y2[1] (numeric) -0.6593846719714755 absolute error 2.220446049250313e-15 relative error 3.3674517222419986e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7300000000000002 y1[1] (analytic) -0.7451744023448702 y1[1] (numeric) -0.7451744023448701 absolute error 1.1102230246251565e-16 relative error 1.4898834704085018e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.666869635003698 y2[1] (numeric) -0.6668696350037006 absolute error 2.55351295663786e-15 relative error 3.8291036547551007e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7400000000000002 y1[1] (analytic) -0.7384685587295877 y1[1] (numeric) -0.7384685587295876 absolute error 1.1102230246251565e-16 relative error 1.5034127201503482e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.6742879116281453 y2[1] (numeric) -0.674287911628148 absolute error 2.7755575615628914e-15 relative error 4.1162795798325824e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7500000000000002 y1[1] (analytic) -0.7316888688738208 y1[1] (numeric) -0.7316888688738206 absolute error 2.220446049250313e-16 relative error 3.0346861127844043e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.6816387600233343 y2[1] (numeric) -0.6816387600233375 absolute error 3.1086244689504383e-15 relative error 4.560515996543421e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7600000000000002 y1[1] (analytic) -0.724836010740905 y1[1] (numeric) -0.7248360107409049 absolute error 1.1102230246251565e-16 relative error 1.5316885587545808e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.6889214451105515 y2[1] (numeric) -0.6889214451105549 absolute error 3.3306690738754696e-15 relative error 4.834613724850728e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7700000000000002 y1[1] (analytic) -0.7179106696109432 y1[1] (numeric) -0.7179106696109431 absolute error 1.1102230246251565e-16 relative error 1.5464640262650212e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.6961352386273569 y2[1] (numeric) -0.6961352386273606 absolute error 3.6637359812630166e-15 relative error 5.26296584049845e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7800000000000002 y1[1] (analytic) -0.7109135380122772 y1[1] (numeric) -0.7109135380122771 absolute error 1.1102230246251565e-16 relative error 1.561685022526584e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.7032794192004104 y2[1] (numeric) -0.7032794192004144 absolute error 3.9968028886505635e-15 relative error 5.683093774014752e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7900000000000003 y1[1] (analytic) -0.703845315652236 y1[1] (numeric) -0.7038453156522357 absolute error 2.220446049250313e-16 relative error 3.154735848732162e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.710353272417608 y2[1] (numeric) -0.7103532724176123 absolute error 4.218847493575595e-15 relative error 5.939083632594834e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8000000000000003 y1[1] (analytic) -0.6967067093471653 y1[1] (numeric) -0.696706709347165 absolute error 2.220446049250313e-16 relative error 3.187059948555593e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.7173560908995229 y2[1] (numeric) -0.7173560908995276 absolute error 4.6629367034256575e-15 relative error 6.500170225889635e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8100000000000003 y1[1] (analytic) -0.6894984329517468 y1[1] (numeric) -0.6894984329517466 absolute error 2.220446049250313e-16 relative error 3.220378674023334e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.7242871743701427 y2[1] (numeric) -0.7242871743701477 absolute error 4.9960036108132044e-15 relative error 6.897821454808789e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8200000000000003 y1[1] (analytic) -0.6822212072876134 y1[1] (numeric) -0.6822212072876132 absolute error 2.220446049250313e-16 relative error 3.254730321384174e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.7311458297268961 y2[1] (numeric) -0.7311458297269013 absolute error 5.218048215738236e-15 relative error 7.136809106450523e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8300000000000003 y1[1] (analytic) -0.6748757600712669 y1[1] (numeric) -0.6748757600712666 absolute error 3.3306690738754696e-16 relative error 4.9352329286856454e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.7379313711099629 y2[1] (numeric) -0.7379313711099685 absolute error 5.662137425588298e-15 relative error 7.672986469014819e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8400000000000003 y1[1] (analytic) -0.6674628258413079 y1[1] (numeric) -0.6674628258413076 absolute error 3.3306690738754696e-16 relative error 4.990044306478501e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.7446431199708595 y2[1] (numeric) -0.7446431199708655 absolute error 5.995204332975845e-15 relative error 8.05111089082574e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8500000000000003 y1[1] (analytic) -0.659983145884982 y1[1] (numeric) -0.6599831458849815 absolute error 4.440892098500626e-16 relative error 6.728796221827396e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.7512804051402929 y2[1] (numeric) -0.7512804051402993 absolute error 6.328271240363392e-15 relative error 8.423314646655347e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8600000000000003 y1[1] (analytic) -0.6524374681640516 y1[1] (numeric) -0.6524374681640511 absolute error 4.440892098500626e-16 relative error 6.806617208844894e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.7578425628952772 y2[1] (numeric) -0.7578425628952838 absolute error 6.661338147750939e-15 relative error 8.789870711803026e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8700000000000003 y1[1] (analytic) -0.644826547240001 y1[1] (numeric) -0.6448265472400004 absolute error 5.551115123125783e-16 relative error 8.608695077592218e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.7643289370255053 y2[1] (numeric) -0.7643289370255123 absolute error 6.994405055138486e-15 relative error 9.151040496200768e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8800000000000003 y1[1] (analytic) -0.63715114419858 y1[1] (numeric) -0.6371511441985793 absolute error 6.661338147750939e-16 relative error 1.0454879047780238e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.7707388788989695 y2[1] (numeric) -0.7707388788989769 absolute error 7.327471962526033e-15 relative error 9.50707452697029e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8900000000000003 y1[1] (analytic) -0.6294120265736967 y1[1] (numeric) -0.6294120265736959 absolute error 7.771561172376096e-16 relative error 1.2347335043281283e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.7770717475268241 y2[1] (numeric) -0.7770717475268318 absolute error 7.771561172376096e-15 relative error 1.0001085739007422e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9000000000000004 y1[1] (analytic) -0.6216099682706642 y1[1] (numeric) -0.6216099682706634 absolute error 7.771561172376096e-16 relative error 1.2502311045617222e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.7833269096274836 y2[1] (numeric) -0.7833269096274917 absolute error 8.104628079763643e-15 relative error 1.03464185643997e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9100000000000004 y1[1] (analytic) -0.6137457494888112 y1[1] (numeric) -0.6137457494888104 absolute error 7.771561172376096e-16 relative error 1.2662509156029233e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.7895037396899507 y2[1] (numeric) -0.7895037396899591 absolute error 8.43769498715119e-15 relative error 1.0687340113759045e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9200000000000004 y1[1] (analytic) -0.6058201566434626 y1[1] (numeric) -0.6058201566434617 absolute error 8.881784197001252e-16 relative error 1.4660760457708512e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.7956016200363663 y2[1] (numeric) -0.7956016200363751 absolute error 8.881784197001252e-15 relative error 1.1163607480582146e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9300000000000004 y1[1] (analytic) -0.5978339822872979 y1[1] (numeric) -0.597833982287297 absolute error 8.881784197001252e-16 relative error 1.4856606449535986e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.8016199408837774 y2[1] (numeric) -0.8016199408837867 absolute error 9.325873406851315e-15 relative error 1.1633784205230272e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9400000000000004 y1[1] (analytic) -0.589788025031098 y1[1] (numeric) -0.589788025031097 absolute error 9.992007221626409e-16 relative error 1.6941692264944776e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.8075581004051146 y2[1] (numeric) -0.8075581004051243 absolute error 9.769962616701378e-15 relative error 1.2098154438423984e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9500000000000004 y1[1] (analytic) -0.5816830894638831 y1[1] (numeric) -0.5816830894638821 absolute error 9.992007221626409e-16 relative error 1.7177750913879397e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.813415504789374 y2[1] (numeric) -0.8134155047893842 absolute error 1.021405182655144e-14 relative error 1.2556991803587847e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9600000000000004 y1[1] (analytic) -0.5735199860724564 y1[1] (numeric) -0.5735199860724552 absolute error 1.1102230246251565e-15 relative error 1.9358052929037684e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.8191915683009985 y2[1] (numeric) -0.8191915683010091 absolute error 1.0658141036401503e-14 relative error 1.3010559982332905e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9700000000000004 y1[1] (analytic) -0.5652995311603539 y1[1] (numeric) -0.5652995311603528 absolute error 1.1102230246251565e-15 relative error 1.963955325323326e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.8248857133384503 y2[1] (numeric) -0.8248857133384614 absolute error 1.1102230246251565e-14 relative error 1.3459113264695767e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9800000000000004 y1[1] (analytic) -0.557022546766217 y1[1] (numeric) -0.5570225467662157 absolute error 1.3322676295501878e-15 relative error 2.391766073536234e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.8304973704919707 y2[1] (numeric) -0.8304973704919822 absolute error 1.1546319456101628e-14 relative error 1.3902897066684041e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9900000000000004 y1[1] (analytic) -0.5486898605815872 y1[1] (numeric) -0.5486898605815858 absolute error 1.4432899320127035e-15 relative error 2.630429384065671e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.8360259786005207 y2[1] (numeric) -0.8360259786005327 absolute error 1.199040866595169e-14 relative error 1.4342148417472899e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.0000000000000004 y1[1] (analytic) -0.5403023058681393 y1[1] (numeric) -0.5403023058681378 absolute error 1.5543122344752192e-15 relative error 2.876745513750498e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.8414709848078967 y2[1] (numeric) -0.8414709848079092 absolute error 1.2434497875801753e-14 relative error 1.4777096418411244e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.0100000000000005 y1[1] (analytic) -0.531860721374355 y1[1] (numeric) -0.5318607213743534 absolute error 1.6653345369377348e-15 relative error 3.1311478174858e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.8468318446180154 y2[1] (numeric) -0.8468318446180283 absolute error 1.2878587085651816e-14 relative error 1.5207962675826183e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.0200000000000005 y1[1] (analytic) -0.5233659512516492 y1[1] (numeric) -0.5233659512516473 absolute error 1.887379141862766e-15 relative error 3.606232192501305e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.8521080219493632 y2[1] (numeric) -0.8521080219493765 absolute error 1.3322676295501878e-14 relative error 1.5634961709459864e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.0300000000000005 y1[1] (analytic) -0.5148188449699549 y1[1] (numeric) -0.5148188449699529 absolute error 1.9984014443252818e-15 relative error 3.8817565904020267e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.8572989891886036 y2[1] (numeric) -0.8572989891886175 absolute error 1.3877787807814457e-14 relative error 1.6187803768378617e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.0400000000000005 y1[1] (analytic) -0.506220257232778 y1[1] (numeric) -0.5062202572327759 absolute error 2.1094237467877974e-15 relative error 4.167007773096306e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.8624042272433387 y2[1] (numeric) -0.862404227243353 absolute error 1.432187701766452e-14 relative error 1.6606918849927452e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.0500000000000005 y1[1] (analytic) -0.49757104789172657 y1[1] (numeric) -0.4975710478917243 absolute error 2.275957200481571e-15 relative error 4.574135111206929e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.8674232255940172 y2[1] (numeric) -0.867423225594032 absolute error 1.4765966227514582e-14 relative error 1.7022793247670708e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.0600000000000005 y1[1] (analytic) -0.4888720818605271 y1[1] (numeric) -0.4888720818605247 absolute error 2.3869795029440866e-15 relative error 4.882625929179324e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.8723554823449865 y2[1] (numeric) -0.8723554823450018 absolute error 1.532107773982716e-14 relative error 1.7562883537617527e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.0700000000000005 y1[1] (analytic) -0.4801242290285337 y1[1] (numeric) -0.48012422902853114 absolute error 2.55351295663786e-15 relative error 5.318442191106555e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.8772005042746819 y2[1] (numeric) -0.8772005042746976 absolute error 1.5765166949677223e-14 relative error 1.7972136213843992e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.0800000000000005 y1[1] (analytic) -0.4713283641737396 y1[1] (numeric) -0.47132836417373686 absolute error 2.7200464103316335e-15 relative error 5.771022109182843e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.8819578068849477 y2[1] (numeric) -0.8819578068849641 absolute error 1.63202784619898e-14 relative error 1.8504602300230897e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.0900000000000005 y1[1] (analytic) -0.4624853668753004 y1[1] (numeric) -0.46248536687529757 absolute error 2.831068712794149e-15 relative error 6.121423326151394e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.8866269144494875 y2[1] (numeric) -0.8866269144495044 absolute error 1.687538997430238e-14 relative error 1.9033248031704992e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.1000000000000005 y1[1] (analytic) -0.4535961214255769 y1[1] (numeric) -0.45359612142557393 absolute error 2.9976021664879227e-15 relative error 6.608526891867944e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.8912073600614355 y2[1] (numeric) -0.891207360061453 absolute error 1.7430501486614958e-14 relative error 1.9558300646679335e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.1100000000000005 y1[1] (analytic) -0.44466151674170634 y1[1] (numeric) -0.44466151674170323 absolute error 3.1086244689504383e-15 relative error 6.990990566777936e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.8956986856800478 y2[1] (numeric) -0.8956986856800658 absolute error 1.7985612998927536e-14 relative error 2.007998145634454e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.1200000000000006 y1[1] (analytic) -0.43568244627671165 y1[1] (numeric) -0.4356824462767084 absolute error 3.2751579226442118e-15 relative error 7.517305208491429e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9001004421765052 y2[1] (numeric) -0.9001004421765237 absolute error 1.8540724511240114e-14 relative error 2.059850616938634e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.1300000000000006 y1[1] (analytic) -0.4266598079301568 y1[1] (numeric) -0.42665980793015335 absolute error 3.4416913763379853e-15 relative error 8.066593835108514e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9044121893788262 y2[1] (numeric) -0.9044121893788452 absolute error 1.8984813721090177e-14 relative error 2.0991328891895453e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.1400000000000006 y1[1] (analytic) -0.41759450395835757 y1[1] (numeric) -0.41759450395835396 absolute error 3.608224830031759e-15 relative error 8.640498847158127e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9086334961158835 y2[1] (numeric) -0.908633496115903 absolute error 1.9539925233402755e-14 relative error 2.150473795752596e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.1500000000000006 y1[1] (analytic) -0.4084874408841568 y1[1] (numeric) -0.40848744088415295 absolute error 3.83026943495679e-15 relative error 9.376712847441051e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9127639402605213 y2[1] (numeric) -0.9127639402605414 absolute error 2.0095036745715333e-14 relative error 2.201559007686018e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.1600000000000006 y1[1] (analytic) -0.3993395294062726 y1[1] (numeric) -0.3993395294062686 absolute error 3.9968028886505635e-15 relative error 1.0008533076084164e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9168031087717672 y2[1] (numeric) -0.9168031087717878 absolute error 2.0650148258027912e-14 relative error 2.252408184532961e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.1700000000000006 y1[1] (analytic) -0.39015168430822966 y1[1] (numeric) -0.39015168430822544 absolute error 4.218847493575595e-15 relative error 1.0813351994253084e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9207505977361359 y2[1] (numeric) -0.9207505977361571 absolute error 2.120525977034049e-14 relative error 2.3030405652169217e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.1800000000000006 y1[1] (analytic) -0.3809248243668812 y1[1] (numeric) -0.3809248243668768 absolute error 4.385380947269368e-15 relative error 1.1512457752151285e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9246060124080205 y2[1] (numeric) -0.9246060124080423 absolute error 2.1760371282653068e-14 relative error 2.3534749926599447e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.1900000000000006 y1[1] (analytic) -0.3716598722605324 y1[1] (numeric) -0.37165987226052777 absolute error 4.6074255521944e-15 relative error 1.2396887304972782e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.928368967249167 y2[1] (numeric) -0.9283689672491892 absolute error 2.220446049250313e-14 relative error 2.3917710819542753e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.2000000000000006 y1[1] (analytic) -0.362357754476673 y1[1] (numeric) -0.3623577544766682 absolute error 4.829470157119431e-15 relative error 1.3327906185129897e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9320390859672266 y2[1] (numeric) -0.9320390859672494 absolute error 2.275957200481571e-14 relative error 2.4419117553634446e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.2100000000000006 y1[1] (analytic) -0.35301940121932973 y1[1] (numeric) -0.35301940121932474 absolute error 4.9960036108132044e-15 relative error 1.4152206914285724e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9356160015533862 y2[1] (numeric) -0.9356160015534095 absolute error 2.3314683517128287e-14 relative error 2.491907307957468e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.2200000000000006 y1[1] (analytic) -0.34364574631604644 y1[1] (numeric) -0.34364574631604117 absolute error 5.2735593669694936e-15 relative error 1.5345917775800057e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9390993563190678 y2[1] (numeric) -0.9390993563190917 absolute error 2.3869795029440866e-14 relative error 2.5417752518755724e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.2300000000000006 y1[1] (analytic) -0.334237727124502 y1[1] (numeric) -0.3342377271244965 absolute error 5.495603971894525e-15 relative error 1.6442201241535603e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9424888019316977 y2[1] (numeric) -0.9424888019317222 absolute error 2.453592884421596e-14 relative error 2.6033125055627007e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.2400000000000007 y1[1] (analytic) -0.3247962844387756 y1[1] (numeric) -0.3247962844387699 absolute error 5.717648576819556e-15 relative error 1.7603799214326721e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9457839994495392 y2[1] (numeric) -0.9457839994495643 absolute error 2.5091040356528538e-14 relative error 2.652935593236078e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.2500000000000007 y1[1] (analytic) -0.315322362395268 y1[1] (numeric) -0.31532236239526207 absolute error 5.9396931817445875e-15 relative error 1.883689167055956e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9489846193555864 y2[1] (numeric) -0.9489846193556121 absolute error 2.5646151868841116e-14 relative error 2.7024834065547116e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.2600000000000007 y1[1] (analytic) -0.3058169083782887 y1[1] (numeric) -0.30581690837828246 absolute error 6.217248937900877e-15 relative error 2.032997119377807e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.952090341590516 y2[1] (numeric) -0.9520903415905422 absolute error 2.6201263381153694e-14 relative error 2.7519723955379206e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.2700000000000007 y1[1] (analytic) -0.2962808729253181 y1[1] (numeric) -0.2962808729253116 absolute error 6.494804694057166e-15 relative error 2.1921106921047437e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9551008555846925 y2[1] (numeric) -0.9551008555847192 absolute error 2.6756374893466273e-14 relative error 2.801418796456484e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.2800000000000007 y1[1] (analytic) -0.28671520963195485 y1[1] (numeric) -0.2867152096319481 absolute error 6.772360450213455e-15 relative error 2.3620513396923974e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9580158602892251 y2[1] (numeric) -0.9580158602892526 absolute error 2.7422508708241367e-14 relative error 2.8624274236923915e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.2900000000000007 y1[1] (analytic) -0.27712087505655697 y1[1] (numeric) -0.2771208750565499 absolute error 7.049916206369744e-15 relative error 2.543985979017619e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9608350642060729 y2[1] (numeric) -0.9608350642061009 absolute error 2.7977620220553945e-14 relative error 2.911802583273908e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.3000000000000007 y1[1] (analytic) -0.26749882862458674 y1[1] (numeric) -0.2674988286245794 absolute error 7.327471962526033e-15 relative error 2.7392538502699596e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9635581854171932 y2[1] (numeric) -0.9635581854172218 absolute error 2.864375403532904e-14 relative error 2.9727062121242956e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.3100000000000007 y1[1] (analytic) -0.25785003253266897 y1[1] (numeric) -0.25785003253266137 absolute error 7.605027718682322e-15 relative error 2.949399557558242e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9661849516127342 y2[1] (numeric) -0.9661849516127635 absolute error 2.930988785010413e-14 relative error 3.0335690698950264e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.3200000000000007 y1[1] (analytic) -0.24817545165237226 y1[1] (numeric) -0.24817545165236438 absolute error 7.882583474838611e-15 relative error 3.1762140140597033e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9687151001182654 y2[1] (numeric) -0.9687151001182953 absolute error 2.986499936241671e-14 relative error 3.082949709235527e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.3300000000000007 y1[1] (analytic) -0.2384760534337225 y1[1] (numeric) -0.2384760534337143 absolute error 8.18789480661053e-15 relative error 3.4334243160754577e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9711483779210447 y2[1] (numeric) -0.9711483779210752 absolute error 3.0531133177191805e-14 relative error 3.1438175536626407e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.3400000000000007 y1[1] (analytic) -0.22875280780845875 y1[1] (numeric) -0.22875280780845025 absolute error 8.493206138382448e-15 relative error 3.712831426967249e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9734845416953195 y2[1] (numeric) -0.9734845416953506 absolute error 3.108624468950438e-14 relative error 3.1932961806838564e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.3500000000000008 y1[1] (analytic) -0.21900668709304086 y1[1] (numeric) -0.21900668709303206 absolute error 8.798517470154366e-15 relative error 4.017465213934989e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9757233578266592 y2[1] (numeric) -0.9757233578266908 absolute error 3.164135620181696e-14 relative error 3.242861406156699e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.3600000000000008 y1[1] (analytic) -0.20923866589141862 y1[1] (numeric) -0.20923866589140952 absolute error 9.103828801926284e-15 relative error 4.350930437804733e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9778646024353164 y2[1] (numeric) -0.9778646024353486 absolute error 3.219646771412954e-14 relative error 3.2925281919343497e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.3700000000000008 y1[1] (analytic) -0.19944972099757222 y1[1] (numeric) -0.1994497209975628 absolute error 9.409140133698202e-15 relative error 4.71754991014138e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9799080613986144 y2[1] (numeric) -0.9799080613986472 absolute error 3.275157922644212e-14 relative error 3.342311438860506e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.3800000000000008 y1[1] (analytic) -0.1896408312978336 y1[1] (numeric) -0.18964083129782386 absolute error 9.742207041085749e-15 relative error 5.13718853393206e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9818535303723599 y2[1] (numeric) -0.9818535303723933 absolute error 3.341771304121721e-14 relative error 3.4035334199535667e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.3900000000000008 y1[1] (analytic) -0.1798129776729987 y1[1] (numeric) -0.17981297767298862 absolute error 1.0075273948473296e-14 relative error 5.603196209116686e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9837008148112767 y2[1] (numeric) -0.9837008148113107 absolute error 3.397282455352979e-14 relative error 3.4535728792750352e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.4000000000000008 y1[1] (analytic) -0.16996714290024015 y1[1] (numeric) -0.16996714290022974 absolute error 1.0408340855860843e-14 relative error 6.123737022496091e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9854497299884604 y2[1] (numeric) -0.9854497299884949 absolute error 3.452793606584237e-14 relative error 3.5037744711997326e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.4100000000000008 y1[1] (analytic) -0.1601043115548304 y1[1] (numeric) -0.16010431155481963 absolute error 1.0769163338864018e-14 relative error 6.7263418669246384e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9871001010138505 y2[1] (numeric) -0.9871001010138857 absolute error 3.519406988061746e-14 relative error 3.5654002916694704e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.4200000000000008 y1[1] (analytic) -0.15022546991168498 y1[1] (numeric) -0.15022546991167385 absolute error 1.1129985821867194e-14 relative error 7.408854056779005e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.98865176285172 y2[1] (numeric) -0.9886517628517557 absolute error 3.574918139293004e-14 relative error 3.6159528295193842e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.4300000000000008 y1[1] (analytic) -0.14033160584673585 y1[1] (numeric) -0.14033160584672438 absolute error 1.1463052729254741e-14 relative error 8.168546679195132e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9901045603371779 y2[1] (numeric) -0.9901045603372143 absolute error 3.6415315207705135e-14 relative error 3.677926217742496e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.4400000000000008 y1[1] (analytic) -0.13042370873814466 y1[1] (numeric) -0.13042370873813286 absolute error 1.1796119636642288e-14 relative error 9.044459593098743e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9914583481916865 y2[1] (numeric) -0.9914583481917235 absolute error 3.697042672001771e-14 relative error 3.728893582614721e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.4500000000000008 y1[1] (analytic) -0.12050276936736573 y1[1] (numeric) -0.12050276936735356 absolute error 1.2170819907453279e-14 relative error 1.0100033361348914e-11% Correct digits 13 h 0.01 y2[1] (analytic) -0.9927129910375886 y2[1] (numeric) -0.9927129910376261 absolute error 3.752553823233029e-14 relative error 3.780099441743823e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.4600000000000009 y1[1] (analytic) -0.1105697798200687 y1[1] (numeric) -0.11056977982005615 absolute error 1.2545520178264269e-14 relative error 1.1346246866620987e-11% Correct digits 13 h 0.01 y2[1] (analytic) -0.993868363411645 y2[1] (numeric) -0.993868363411683 absolute error 3.808064974464287e-14 relative error 3.8315586999795115e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.4700000000000009 y1[1] (analytic) -0.10062573338693084 y1[1] (numeric) -0.10062573338691792 absolute error 1.292022044907526e-14 relative error 1.2839877051523009e-11% Correct digits 13 h 0.01 y2[1] (analytic) -0.9949243497775809 y2[1] (numeric) -0.9949243497776197 absolute error 3.8746783559417963e-14 relative error 3.894445197575067e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.4800000000000009 y1[1] (analytic) -0.09067162446430879 y1[1] (numeric) -0.09067162446429548 absolute error 1.3308798507694064e-14 relative error 1.4678019266030495e-11% Correct digits 13 h 0.01 y2[1] (analytic) -0.9958808445376401 y2[1] (numeric) -0.9958808445376794 absolute error 3.930189507173054e-14 relative error 3.946445529834177e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.4900000000000009 y1[1] (analytic) -0.08070844845479974 y1[1] (numeric) -0.08070844845478604 absolute error 1.3697376566312869e-14 relative error 1.6971428429805584e-11% Correct digits 13 h 0.01 y2[1] (analytic) -0.9967377520431434 y2[1] (numeric) -0.9967377520431834 absolute error 3.9968028886505635e-14 relative error 4.009884124944395e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.5000000000000009 y1[1] (analytic) -0.07073720166770202 y1[1] (numeric) -0.07073720166768793 absolute error 1.4085954624931674e-14 relative error 1.9913078681147768e-11% Correct digits 13 h 0.01 y2[1] (analytic) -0.9974949866040544 y2[1] (numeric) -0.997494986604095 absolute error 4.0523140398818214e-14 relative error 4.06249063333924e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.510000000000001 y1[1] (analytic) -0.06075888121938501 y1[1] (numeric) -0.06075888121937052 absolute error 1.4488410471358293e-14 relative error 2.3845749264283345e-11% Correct digits 13 h 0.01 y2[1] (analytic) -0.9981524724975481 y2[1] (numeric) -0.9981524724975892 absolute error 4.107825191113079e-14 relative error 4.115428558559394e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.520000000000001 y1[1] (analytic) -0.05077448493357829 y1[1] (numeric) -0.0507744849335634 absolute error 1.4890866317784912e-14 relative error 2.932745913083059e-11% Correct digits 13 h 0.01 y2[1] (analytic) -0.998710143975583 y2[1] (numeric) -0.9987101439756246 absolute error 4.163336342344337e-14 relative error 4.168713382414713e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.530000000000001 y1[1] (analytic) -0.04078501124159015 y1[1] (numeric) -0.040785011241574846 absolute error 1.530026105811544e-14 relative error 3.75144215787616e-11% Correct digits 13 h 0.01 y2[1] (analytic) -0.999167945271476 y2[1] (numeric) -0.9991679452715182 absolute error 4.218847493575595e-14 relative error 4.222360728785515e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.540000000000001 y1[1] (analytic) -0.030791459082465233 y1[1] (numeric) -0.03079145908244952 absolute error 1.571312524539792e-14 relative error 5.1030791374047126e-11% Correct digits 13 h 0.01 y2[1] (analytic) -0.9995258306054791 y2[1] (numeric) -0.9995258306055218 absolute error 4.2743586448068527e-14 relative error 4.276386376345662e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.550000000000001 y1[1] (analytic) -0.02079482780309154 y1[1] (numeric) -0.020794827803075407 absolute error 1.6132928326584306e-14 relative error 7.75814470759207e-11% Correct digits 13 h 0.01 y2[1] (analytic) -0.999783764189357 y2[1] (numeric) -0.9997837641894003 absolute error 4.3298697960381105e-14 relative error 4.330806271442953e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.560000000000001 y1[1] (analytic) -0.010796117058266504 y1[1] (numeric) -0.010796117058249942 absolute error 1.6561405025150577e-14 relative error 1.5340149551703534e-10% Correct digits 12 h 0.01 y2[1] (analytic) -0.9999417202299663 y2[1] (numeric) -0.9999417202300102 absolute error 4.3853809472693683e-14 relative error 4.385636541158439e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.570000000000001 y1[1] (analytic) -0.0007963267107323752 y1[1] (numeric) -0.0007963267107153806 absolute error 1.6994543793058536e-14 relative error 2.134117010520568e-09% Correct digits 11 h 0.01 y2[1] (analytic) -0.9999996829318346 y2[1] (numeric) -0.999999682931879 absolute error 4.440892098500626e-14 relative error 4.440893506566583e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.580000000000001 y1[1] (analytic) 0.009203543268809225 y1[1] (numeric) 0.009203543268826655 absolute error 1.7430501486614958e-14 relative error 1.8938903178395287e-10% Correct digits 12 h 0.01 y2[1] (analytic) -0.9999576464987401 y2[1] (numeric) -0.999957646498785 absolute error 4.496403249731884e-14 relative error 4.496593696218662e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.590000000000001 y1[1] (analytic) 0.019202492901693537 y1[1] (numeric) 0.01920249290171141 absolute error 1.7871121249513067e-14 relative error 9.306667285858987e-11% Correct digits 13 h 0.01 y2[1] (analytic) -0.9998156151342908 y2[1] (numeric) -0.9998156151343364 absolute error 4.551914400963142e-14 relative error 4.552753859872201e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.600000000000001 y1[1] (analytic) 0.029199522301289704 y1[1] (numeric) 0.029199522301308026 absolute error 1.8322149353267037e-14 relative error 6.274811335683315e-11% Correct digits 13 h 0.01 y2[1] (analytic) -0.9995736030415051 y2[1] (numeric) -0.9995736030415512 absolute error 4.6074255521943996e-14 relative error 4.609390982489847e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.610000000000001 y1[1] (analytic) 0.039193631772988596 y1[1] (numeric) 0.03919363177300737 absolute error 1.877664690397296e-14 relative error 4.790739223333067e-11% Correct digits 13 h 0.01 y2[1] (analytic) -0.9992316344213905 y2[1] (numeric) -0.999231634421437 absolute error 4.651834473179406e-14 relative error 4.655411531154207e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.620000000000001 y1[1] (analytic) 0.049183821914171436 y1[1] (numeric) 0.04918382191419068 absolute error 1.9241552795534744e-14 relative error 3.912171125926803e-11% Correct digits 13 h 0.01 y2[1] (analytic) -0.998789743470524 y2[1] (numeric) -0.998789743470571 absolute error 4.707345624410664e-14 relative error 4.713049623491239e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.630000000000001 y1[1] (analytic) 0.059169093714149246 y1[1] (numeric) 0.05916909371416895 absolute error 1.970645868709653e-14 relative error 3.3305324536995696e-11% Correct digits 13 h 0.01 y2[1] (analytic) -0.9982479743776324 y2[1] (numeric) -0.99824797437768 absolute error 4.7628567756419216e-14 relative error 4.771216068443687e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.640000000000001 y1[1] (analytic) 0.06914844865406305 y1[1] (numeric) 0.06914844865408323 absolute error 2.017830347256222e-14 relative error 2.918113690953582e-11% Correct digits 13 h 0.01 y2[1] (analytic) -0.9976063813191736 y2[1] (numeric) -0.9976063813192217 absolute error 4.8183679268731794e-14 relative error 4.829928934999057e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.650000000000001 y1[1] (analytic) 0.07912088880673497 y1[1] (numeric) 0.07912088880675562 absolute error 2.0650148258027912e-14 relative error 2.6099489742170487e-11% Correct digits 13 h 0.01 y2[1] (analytic) -0.9968650284539188 y2[1] (numeric) -0.9968650284539674 absolute error 4.8627768478581856e-14 relative error 4.878069456805077e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.660000000000001 y1[1] (analytic) 0.08908541693646006 y1[1] (numeric) 0.0890854169364812 absolute error 2.1135870831301418e-14 relative error 2.3725399238324856e-11% Correct digits 13 h 0.01 y2[1] (analytic) -0.9960239899165366 y2[1] (numeric) -0.9960239899165858 absolute error 4.9182879990894435e-14 relative error 4.937921223666088e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.670000000000001 y1[1] (analytic) 0.09904103659872912 y1[1] (numeric) 0.09904103659875074 absolute error 2.1621593404574924e-14 relative error 2.183094416931049e-11% Correct digits 13 h 0.01 y2[1] (analytic) -0.9950833498101801 y2[1] (numeric) -0.9950833498102297 absolute error 4.96269692007445e-14 relative error 4.987217323072608e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.680000000000001 y1[1] (analytic) 0.10898675223987221 y1[1] (numeric) 0.10898675223989433 absolute error 2.2121193765656244e-14 relative error 2.0297140075308462e-11% Correct digits 13 h 0.01 y2[1] (analytic) -0.9940432021980758 y2[1] (numeric) -0.994043202198126 absolute error 5.0182080713057076e-14 relative error 5.048279652442878e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.690000000000001 y1[1] (analytic) 0.11892156929661332 y1[1] (numeric) 0.11892156929663593 absolute error 2.260691633892975e-14 relative error 1.9009937787268634e-11% Correct digits 13 h 0.01 y2[1] (analytic) -0.9929036510941184 y2[1] (numeric) -0.9929036510941691 absolute error 5.0737192225369654e-14 relative error 5.109981433693028e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.700000000000001 y1[1] (analytic) 0.12884449429552575 y1[1] (numeric) 0.12884449429554884 absolute error 2.3092638912203256e-14 relative error 1.7922875974224048e-11% Correct digits 13 h 0.01 y2[1] (analytic) -0.9916648104524685 y2[1] (numeric) -0.9916648104525196 absolute error 5.1181281435219717e-14 relative error 5.161147284420343e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.710000000000001 y1[1] (analytic) 0.13875453495237866 y1[1] (numeric) 0.13875453495240225 absolute error 2.3592239273284576e-14 relative error 1.7002859965176322e-11% Correct digits 13 h 0.01 y2[1] (analytic) -0.9903268041561579 y2[1] (numeric) -0.9903268041562096 absolute error 5.162537064506978e-14 relative error 5.212963077280227e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.720000000000001 y1[1] (analytic) 0.14865070027136473 y1[1] (numeric) 0.14865070027138885 absolute error 2.4119595209981526e-14 relative error 1.6225685560815213e-11% Correct digits 13 h 0.01 y2[1] (analytic) -0.9888897660047012 y2[1] (numeric) -0.9888897660047534 absolute error 5.218048215738236e-14 relative error 5.276673290714821e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.730000000000001 y1[1] (analytic) 0.15853200064419884 y1[1] (numeric) 0.1585320006442235 absolute error 2.4646951146678475e-14 relative error 1.5546988019153836e-11% Correct digits 13 h 0.01 y2[1] (analytic) -0.9873538397007163 y2[1] (numeric) -0.9873538397007688 absolute error 5.2513549064769904e-14 relative error 5.3186149638803905e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.740000000000001 y1[1] (analytic) 0.1683974479490781 y1[1] (numeric) 0.16839744794910325 absolute error 2.5146551507759796e-14 relative error 1.4932857839605675e-11% Correct digits 13 h 0.01 y2[1] (analytic) -0.9857191788355533 y2[1] (numeric) -0.9857191788356063 absolute error 5.306866057708248e-14 relative error 5.383750434862533e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.750000000000001 y1[1] (analytic) 0.1782460556494932 y1[1] (numeric) 0.17824605564951884 absolute error 2.5646151868841116e-14 relative error 1.4388061365729321e-11% Correct digits 13 h 0.01 y2[1] (analytic) -0.9839859468739367 y2[1] (numeric) -0.9839859468739902 absolute error 5.3512749786932545e-14 relative error 5.438365248704952e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.7600000000000011 y1[1] (analytic) 0.1880768388928812 y1[1] (numeric) 0.18807683889290738 absolute error 2.6173507805538065e-14 relative error 1.3916390747318513e-11% Correct digits 13 h 0.01 y2[1] (analytic) -0.9821543171376182 y2[1] (numeric) -0.9821543171376722 absolute error 5.395683899678261e-14 relative error 5.493723140578757e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.7700000000000011 y1[1] (analytic) 0.19788881460911012 y1[1] (numeric) 0.19788881460913682 absolute error 2.6700863742235015e-14 relative error 1.3492861531854261e-11% Correct digits 13 h 0.01 y2[1] (analytic) -0.9802244727880453 y2[1] (numeric) -0.9802244727880997 absolute error 5.440092820663267e-14 relative error 5.549843909926112e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.7800000000000011 y1[1] (analytic) 0.2076810016087849 y1[1] (numeric) 0.20768100160881214 absolute error 2.7255975254547593e-14 relative error 1.3123961769931424e-11% Correct digits 13 h 0.01 y2[1] (analytic) -0.9781966068080444 y2[1] (numeric) -0.9781966068080993 absolute error 5.484501741648273e-14 relative error 5.606747869985732e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.7900000000000011 y1[1] (analytic) 0.21745242068136572 y1[1] (numeric) 0.21745242068139353 absolute error 2.781108676686017e-14 relative error 1.278950433373741e-11% Correct digits 13 h 0.01 y2[1] (analytic) -0.976070921982524 y2[1] (numeric) -0.9760709219825792 absolute error 5.517808432387028e-14 relative error 5.6530814596747315e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8000000000000012 y1[1] (analytic) 0.2272020946930882 y1[1] (numeric) 0.22720209469311653 absolute error 2.833844270355712e-14 relative error 1.2472791125380067e-11% Correct digits 13 h 0.01 y2[1] (analytic) -0.9738476308781949 y2[1] (numeric) -0.9738476308782505 absolute error 5.562217353372034e-14 relative error 5.711588935484852e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8100000000000012 y1[1] (analytic) 0.23692904868467576 y1[1] (numeric) 0.23692904868470466 absolute error 2.88935542158697e-14 relative error 1.2195023943359333e-11% Correct digits 13 h 0.01 y2[1] (analytic) -0.9715269558223151 y2[1] (numeric) -0.9715269558223711 absolute error 5.6066262743570405e-14 relative error 5.770942577307603e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8200000000000012 y1[1] (analytic) 0.2466323099688351 y1[1] (numeric) 0.24663230996886454 absolute error 2.944866572818228e-14 relative error 1.1940311361436572e-11% Correct digits 13 h 0.01 y2[1] (analytic) -0.9691091288804561 y2[1] (numeric) -0.9691091288805126 absolute error 5.651035195342047e-14 relative error 5.8311649606172755e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8300000000000012 y1[1] (analytic) 0.2563109082275238 y1[1] (numeric) 0.2563109082275538 absolute error 3.0031532816110484e-14 relative error 1.171683757971467e-11% Correct digits 13 h 0.01 y2[1] (analytic) -0.9665943918332973 y2[1] (numeric) -0.9665943918333542 absolute error 5.684341886080802e-14 relative error 5.880793364939309e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8400000000000012 y1[1] (analytic) 0.26596387560898144 y1[1] (numeric) 0.265963875609012 absolute error 3.058664432842306e-14 relative error 1.1500300278896286e-11% Correct digits 13 h 0.01 y2[1] (analytic) -0.9639829961524479 y2[1] (numeric) -0.963982996152505 absolute error 5.717648576819556e-14 relative error 5.9312753436942845e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8500000000000012 y1[1] (analytic) 0.275590246824514 y1[1] (numeric) 0.27559024682454514 absolute error 3.114175584073564e-14 relative error 1.130002102743701e-11% Correct digits 13 h 0.01 y2[1] (analytic) -0.9612752029752996 y2[1] (numeric) -0.9612752029753572 absolute error 5.762057497804562e-14 relative error 5.994180937956247e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8600000000000012 y1[1] (analytic) 0.2851890592450219 y1[1] (numeric) 0.2851890592450536 absolute error 3.169686735304822e-14 relative error 1.1114334973774595e-11% Correct digits 13 h 0.01 y2[1] (analytic) -0.9584712830789138 y2[1] (numeric) -0.9584712830789718 absolute error 5.795364188543317e-14 relative error 6.0464661705114094e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8700000000000012 y1[1] (analytic) 0.2947593529972621 y1[1] (numeric) 0.29475935299729433 absolute error 3.22519788653608e-14 relative error 1.0941799992911633e-11% Correct digits 13 h 0.01 y2[1] (analytic) -0.9555715168529436 y2[1] (numeric) -0.9555715168530019 absolute error 5.828670879282072e-14 relative error 6.099669963456087e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8800000000000012 y1[1] (analytic) 0.3043001710598345 y1[1] (numeric) 0.3043001710598673 absolute error 3.2807090377673376e-14 relative error 1.0781160675464269e-11% Correct digits 13 h 0.01 y2[1] (analytic) -0.952576194271595 y2[1] (numeric) -0.9525761942716536 absolute error 5.861977570020827e-14 relative error 6.1538148919449915e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8900000000000012 y1[1] (analytic) 0.3138105593588835 y1[1] (numeric) 0.3138105593589169 absolute error 3.3362201889985954e-14 relative error 1.0631319085675476e-11% Correct digits 13 h 0.01 y2[1] (analytic) -0.9494856148646301 y2[1] (numeric) -0.9494856148646891 absolute error 5.895284260759581e-14 relative error 6.208924251685564e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9000000000000012 y1[1] (analytic) 0.3232895668635046 y1[1] (numeric) 0.32328956686353855 absolute error 3.397282455352979e-14 relative error 1.0508481570601809e-11% Correct digits 13 h 0.01 y2[1] (analytic) -0.9463000876874141 y2[1] (numeric) -0.9463000876874734 absolute error 5.928590951498336e-14 relative error 6.265022088275124e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9100000000000013 y1[1] (analytic) 0.3327362456808464 y1[1] (numeric) 0.33273624568088095 absolute error 3.452793606584237e-14 relative error 1.0376968699394666e-11% Correct digits 13 h 0.01 y2[1] (analytic) -0.9430199312900102 y2[1] (numeric) -0.9430199312900698 absolute error 5.96189764223709e-14 relative error 6.322133227959959e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9200000000000013 y1[1] (analytic) 0.3421496511508994 y1[1] (numeric) 0.34214965115093454 absolute error 3.5138558729386205e-14 relative error 1.026993849363562e-11% Correct digits 13 h 0.01 y2[1] (analytic) -0.9396454736853245 y2[1] (numeric) -0.9396454736853844 absolute error 5.995204332975845e-14 relative error 6.38028330989818e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9300000000000013 y1[1] (analytic) 0.35152884194096107 y1[1] (numeric) 0.3515288419409968 absolute error 3.574918139293004e-14 relative error 1.0169629665532276e-11% Correct digits 13 h 0.01 y2[1] (analytic) -0.9361770523163055 y2[1] (numeric) -0.9361770523163658 absolute error 6.0285110237146e-14 relative error 6.439498820013536e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9400000000000013 y1[1] (analytic) 0.3608728801397684 y1[1] (numeric) 0.36087288013980473 absolute error 3.630429290524262e-14 relative error 1.0060133333150922e-11% Correct digits 13 h 0.01 y2[1] (analytic) -0.9326150140222 y2[1] (numeric) -0.9326150140222605 absolute error 6.050715484207103e-14 relative error 6.4879027178765445e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9500000000000013 y1[1] (analytic) 0.3701808313512881 y1[1] (numeric) 0.37018083135132507 absolute error 3.697042672001771e-14 relative error 9.987126179673558e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9289597150038689 y2[1] (numeric) -0.9289597150039296 absolute error 6.072919944699606e-14 relative error 6.537334016334943e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9600000000000013 y1[1] (analytic) 0.37945176478815573 y1[1] (numeric) 0.37945176478819326 absolute error 3.752553823233029e-14 relative error 9.889409330664318e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9252115207881677 y2[1] (numeric) -0.9252115207882288 absolute error 6.106226635438361e-14 relative error 6.599816904826908e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9700000000000013 y1[1] (analytic) 0.3886847533647532 y1[1] (numeric) 0.3886847533647914 absolute error 3.8191672047105385e-14 relative error 9.825873465961551e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9213708061913949 y2[1] (numeric) -0.9213708061914562 absolute error 6.128431095930864e-14 relative error 6.6514274760490026e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9800000000000013 y1[1] (analytic) 0.3978788737899172 y1[1] (numeric) 0.39787887378995596 absolute error 3.8746783559417963e-14 relative error 9.738336491792859e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9174379552818093 y2[1] (numeric) -0.9174379552818709 absolute error 6.161737786669619e-14 relative error 6.7162446803031154e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9900000000000013 y1[1] (analytic) 0.40703320665926673 y1[1] (numeric) 0.40703320665930615 absolute error 3.941291737419306e-14 relative error 9.682973459997373e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9134133613412246 y2[1] (numeric) -0.9134133613412865 absolute error 6.183942247162122e-14 relative error 6.770146473532897e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.0000000000000013 y1[1] (analytic) 0.4161468365471436 y1[1] (numeric) 0.4161468365471836 absolute error 4.0023540037736893e-14 relative error 9.61764851315956e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9092974268256812 y2[1] (numeric) -0.9092974268257432 absolute error 6.206146707654625e-14 relative error 6.825210898616551e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.010000000000001 y1[1] (analytic) 0.4252188520981534 y1[1] (numeric) 0.4252188520981942 absolute error 4.08006961549745e-14 relative error 9.595222778494417e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9050905633252004 y2[1] (numeric) -0.9050905633252626 absolute error 6.217248937900877e-14 relative error 6.869200928423568e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.020000000000001 y1[1] (analytic) 0.43424834611830126 y1[1] (numeric) 0.4342483461183429 absolute error 4.163336342344337e-14 relative error 9.587454689372907e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9007931915226269 y2[1] (numeric) -0.9007931915226891 absolute error 6.217248937900877e-14 relative error 6.901971502905954e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.0300000000000007 y1[1] (analytic) 0.4432344156657097 y1[1] (numeric) 0.44323441566575217 absolute error 4.246603069191224e-14 relative error 9.580941639680885e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.8964057411515596 y2[1] (numeric) -0.8964057411516219 absolute error 6.228351168147128e-14 relative error 6.948138417928842e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.0400000000000005 y1[1] (analytic) 0.4521761621409124 y1[1] (numeric) 0.45217616214095563 absolute error 4.324318680914985e-14 relative error 9.5633495150224e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.8919286509533794 y2[1] (numeric) -0.8919286509534418 absolute error 6.23945339839338e-14 relative error 6.995462464092896e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.0500000000000003 y1[1] (analytic) 0.46107269137671314 y1[1] (numeric) 0.4610726913767572 absolute error 4.4075854077618715e-14 relative error 9.559415446187669e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.8873623686333753 y2[1] (numeric) -0.8873623686334376 absolute error 6.23945339839338e-14 relative error 7.031460448342821e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.06 y1[1] (analytic) 0.4699231137276022 y1[1] (numeric) 0.4699231137276471 absolute error 4.490852134608758e-14 relative error 9.55656787976585e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.8827073508159741 y2[1] (numeric) -0.8827073508160364 absolute error 6.228351168147128e-14 relative error 7.055963862076876e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.07 y1[1] (analytic) 0.4787265441587198 y1[1] (numeric) 0.47872654415876553 absolute error 4.574118861455645e-14 relative error 9.554763397325039e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.8779640629990781 y2[1] (numeric) -0.8779640629991405 absolute error 6.23945339839338e-14 relative error 7.106729832516996e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.0799999999999996 y1[1] (analytic) 0.487482102334359 y1[1] (numeric) 0.48748210233440553 absolute error 4.651834473179406e-14 relative error 9.542574898449831e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.8731329795075167 y2[1] (numeric) -0.8731329795075791 absolute error 6.23945339839338e-14 relative error 7.146051683802725e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.0899999999999994 y1[1] (analytic) 0.49618891270599846 y1[1] (numeric) 0.4961889127060458 absolute error 4.7351012000262926e-14 relative error 9.54294035754066e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.8682145834456129 y2[1] (numeric) -0.8682145834456751 absolute error 6.228351168147128e-14 relative error 7.1737463144527885e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.099999999999999 y1[1] (analytic) 0.5048461045998568 y1[1] (numeric) 0.5048461045999049 absolute error 4.807265696626928e-14 relative error 9.522239852553061e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.8632093666488742 y2[1] (numeric) -0.8632093666489364 absolute error 6.228351168147128e-14 relative error 7.215342428832357e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.109999999999999 y1[1] (analytic) 0.5134528123039588 y1[1] (numeric) 0.5134528123040076 absolute error 4.884981308350689e-14 relative error 9.51398296258397e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.8581178296348094 y2[1] (numeric) -0.8581178296348716 absolute error 6.217248937900877e-14 relative error 7.245215893657356e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.1199999999999988 y1[1] (analytic) 0.5220081751547062 y1[1] (numeric) 0.522008175154756 absolute error 4.973799150320701e-14 relative error 9.528201639460204e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.8529404815528769 y2[1] (numeric) -0.852940481552939 absolute error 6.206146707654625e-14 relative error 7.276177930206357e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.1299999999999986 y1[1] (analytic) 0.5305113376229437 y1[1] (numeric) 0.5305113376229942 absolute error 5.051514762044462e-14 relative error 9.521973243170879e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.8476778401335705 y2[1] (numeric) -0.8476778401336326 absolute error 6.206146707654625e-14 relative error 7.321350652125941e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.1399999999999983 y1[1] (analytic) 0.5389614493995101 y1[1] (numeric) 0.5389614493995614 absolute error 5.129230373768223e-14 relative error 9.516878024361505e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.8423304316366466 y2[1] (numeric) -0.8423304316367085 absolute error 6.195044477408373e-14 relative error 7.354648775269121e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.149999999999998 y1[1] (analytic) 0.5473576654802695 y1[1] (numeric) 0.5473576654803216 absolute error 5.206945985491984e-14 relative error 9.512876705441294e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.8368987907984987 y2[1] (numeric) -0.8368987907985606 absolute error 6.183942247162122e-14 relative error 7.389116002022087e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.159999999999998 y1[1] (analytic) 0.5556991462506109 y1[1] (numeric) 0.5556991462506637 absolute error 5.284661597215745e-14 relative error 9.509932906811507e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.8313834607786843 y2[1] (numeric) -0.831383460778746 absolute error 6.17284001691587e-14 relative error 7.424780872035042e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.1699999999999977 y1[1] (analytic) 0.5639850575694082 y1[1] (numeric) 0.5639850575694619 absolute error 5.3734794391857577e-14 relative error 9.527698237864143e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.8257849931056094 y2[1] (numeric) -0.8257849931056709 absolute error 6.150635556423367e-14 relative error 7.448228785669837e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.1799999999999975 y1[1] (analytic) 0.5722145708524347 y1[1] (numeric) 0.5722145708524892 absolute error 5.4511950509095186e-14 relative error 9.52648766491355e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.8201039476213756 y2[1] (numeric) -0.820103947621437 absolute error 6.139533326177116e-14 relative error 7.486286761555264e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.1899999999999973 y1[1] (analytic) 0.5803868631552197 y1[1] (numeric) 0.580386863155275 absolute error 5.5289106626332796e-14 relative error 9.526250529820517e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.8143408924257975 y2[1] (numeric) -0.8143408924258586 absolute error 6.106226635438361e-14 relative error 7.498366706415591e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.199999999999997 y1[1] (analytic) 0.5885011172553434 y1[1] (numeric) 0.5885011172553994 absolute error 5.6066262743570405e-14 relative error 9.52695943978029e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.8084964038195919 y2[1] (numeric) -0.8084964038196528 absolute error 6.09512440519211e-14 relative error 7.53883922847006e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.209999999999997 y1[1] (analytic) 0.5965565217341574 y1[1] (numeric) 0.5965565217342143 absolute error 5.684341886080802e-14 relative error 9.52858895843889e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.8025710662467491 y2[1] (numeric) -0.8025710662468098 absolute error 6.072919944699606e-14 relative error 7.566831399865713e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.2199999999999966 y1[1] (analytic) 0.6045522710579269 y1[1] (numeric) 0.6045522710579845 absolute error 5.762057497804562e-14 relative error 9.531115461234377e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.7965654722360886 y2[1] (numeric) -0.7965654722361492 absolute error 6.050715484207103e-14 relative error 7.596005218782284e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.2299999999999964 y1[1] (analytic) 0.6124875656583824 y1[1] (numeric) 0.6124875656584408 absolute error 5.839773109528323e-14 relative error 9.534517004032507e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.790480222342007 y2[1] (numeric) -0.7904802223420672 absolute error 6.017408793468348e-14 relative error 7.612345791068854e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.239999999999996 y1[1] (analytic) 0.6203616120126767 y1[1] (numeric) 0.6203616120127358 absolute error 5.906386491005833e-14 relative error 9.520876818672557e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.7843159250844224 y2[1] (numeric) -0.7843159250844823 absolute error 5.995204332975845e-14 relative error 7.643864087460078e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.249999999999996 y1[1] (analytic) 0.628173622722736 y1[1] (numeric) 0.6281736227227959 absolute error 5.984102102729594e-14 relative error 9.526191304869328e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.7780731968879238 y2[1] (numeric) -0.7780731968879834 absolute error 5.96189764223709e-14 relative error 7.66238660589135e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.259999999999996 y1[1] (analytic) 0.6359228165939993 y1[1] (numeric) 0.6359228165940599 absolute error 6.061817714453355e-14 relative error 9.532316747054985e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.7717526620201285 y2[1] (numeric) -0.7717526620201878 absolute error 5.928590951498336e-14 relative error 7.681983157634653e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.2699999999999956 y1[1] (analytic) 0.6436084187135371 y1[1] (numeric) 0.6436084187135985 absolute error 6.139533326177116e-14 relative error 9.539237131871255e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.7653549525292563 y2[1] (numeric) -0.7653549525293153 absolute error 5.895284260759581e-14 relative error 7.702679967350481e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.2799999999999954 y1[1] (analytic) 0.6512296605275422 y1[1] (numeric) 0.6512296605276043 absolute error 6.217248937900877e-14 relative error 9.54693760856111e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.7588807081809249 y2[1] (numeric) -0.7588807081809835 absolute error 5.861977570020827e-14 relative error 7.724504664339511e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.289999999999995 y1[1] (analytic) 0.6587857799181841 y1[1] (numeric) 0.6587857799182469 absolute error 6.283862319378386e-14 relative error 9.53855184937172e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.7523305763941739 y2[1] (numeric) -0.7523305763942322 absolute error 5.828670879282072e-14 relative error 7.747486360607807e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.299999999999995 y1[1] (analytic) 0.6662760212798204 y1[1] (numeric) 0.6662760212798841 absolute error 6.361577931102147e-14 relative error 9.547961697439554e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.7457052121767236 y2[1] (numeric) -0.7457052121767814 absolute error 5.784261958297066e-14 relative error 7.756767505235382e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.3099999999999947 y1[1] (analytic) 0.673699635594557 y1[1] (numeric) 0.6736996355946213 absolute error 6.428191312579656e-14 relative error 9.541628008907284e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.7390052780594745 y2[1] (numeric) -0.7390052780595319 absolute error 5.739853037312059e-14 relative error 7.766998704507387e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.3199999999999945 y1[1] (analytic) 0.6810558805071486 y1[1] (numeric) 0.6810558805072137 absolute error 6.505906924303417e-14 relative error 9.552677115802584e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.7322314440302551 y2[1] (numeric) -0.732231444030312 absolute error 5.695444116327053e-14 relative error 7.77820204630781e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.3299999999999943 y1[1] (analytic) 0.6883440203992341 y1[1] (numeric) 0.6883440203993 absolute error 6.583622536027178e-14 relative error 9.56443630062876e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.7253843874668235 y2[1] (numeric) -0.72538438746688 absolute error 5.651035195342047e-14 relative error 7.79040091430215e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.339999999999994 y1[1] (analytic) 0.6955633264628979 y1[1] (numeric) 0.6955633264629645 absolute error 6.661338147750939e-14 relative error 9.576896731495896e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.7184647930691302 y2[1] (numeric) -0.7184647930691863 absolute error 5.6066262743570405e-14 relative error 7.80362006384017e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.349999999999994 y1[1] (analytic) 0.7027130767735495 y1[1] (numeric) 0.7027130767736168 absolute error 6.727951529228449e-14 relative error 9.574251215189129e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.7114733527908488 y2[1] (numeric) -0.7114733527909043 absolute error 5.551115123125783e-14 relative error 7.802281141452166e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.3599999999999937 y1[1] (analytic) 0.7097925563621161 y1[1] (numeric) 0.7097925563621841 absolute error 6.794564910705958e-14 relative error 9.572606601469575e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.7044107657701806 y2[1] (numeric) -0.7044107657702356 absolute error 5.5067062021407764e-14 relative error 7.817464567169011e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.3699999999999934 y1[1] (analytic) 0.7168010572865383 y1[1] (numeric) 0.7168010572866069 absolute error 6.861178292183467e-14 relative error 9.571942204098535e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.6972777382599425 y2[1] (numeric) -0.6972777382599971 absolute error 5.4511950509095186e-14 relative error 7.817824593845463e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.3799999999999932 y1[1] (analytic) 0.723737878702564 y1[1] (numeric) 0.7237378787026334 absolute error 6.938893903907228e-14 relative error 9.587578746529749e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.6900749835569413 y2[1] (numeric) -0.6900749835569953 absolute error 5.395683899678261e-14 relative error 7.818982035642853e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.389999999999993 y1[1] (analytic) 0.7306023269338324 y1[1] (numeric) 0.7306023269339025 absolute error 7.005507285384738e-14 relative error 9.58867365613961e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.6828032219306449 y2[1] (numeric) -0.6828032219306983 absolute error 5.340172748447003e-14 relative error 7.820954232388532e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.399999999999993 y1[1] (analytic) 0.7373937155412407 y1[1] (numeric) 0.7373937155413114 absolute error 7.072120666862247e-14 relative error 9.590698317345126e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.6754631805511563 y2[1] (numeric) -0.6754631805512091 absolute error 5.284661597215745e-14 relative error 7.823759679844622e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.4099999999999926 y1[1] (analytic) 0.7441113653915875 y1[1] (numeric) 0.7441113653916589 absolute error 7.138734048339757e-14 relative error 9.593636625322889e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.6680555934164966 y2[1] (numeric) -0.6680555934165489 absolute error 5.229150445984487e-14 relative error 7.827418103397864e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.4199999999999924 y1[1] (analytic) 0.7507546047254859 y1[1] (numeric) 0.750754604725558 absolute error 7.205347429817266e-14 relative error 9.597473507940598e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.6605812012792064 y2[1] (numeric) -0.6605812012792581 absolute error 5.1736392947532295e-14 relative error 7.83195053800282e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.429999999999992 y1[1] (analytic) 0.7573227692245386 y1[1] (numeric) 0.7573227692246113 absolute error 7.271960811294775e-14 relative error 9.602194872261542e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.6530407515722708 y2[1] (numeric) -0.6530407515723219 absolute error 5.10702591327572e-14 relative error 7.820378591963775e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.439999999999992 y1[1] (analytic) 0.7638152020777689 y1[1] (numeric) 0.7638152020778423 absolute error 7.338574192772285e-14 relative error 9.607787554907944e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.6454349983343768 y2[1] (numeric) -0.6454349983344272 absolute error 5.040412531798211e-14 relative error 7.809326337749898e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.4499999999999917 y1[1] (analytic) 0.7702312540473021 y1[1] (numeric) 0.770231254047376 absolute error 7.394085344003543e-14 relative error 9.599825124143107e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.6377647021345101 y2[1] (numeric) -0.6377647021345598 absolute error 4.973799150320701e-14 relative error 7.798799672785409e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.4599999999999915 y1[1] (analytic) 0.7765702835332877 y1[1] (numeric) 0.7765702835333623 absolute error 7.460698725481052e-14 relative error 9.607242105036393e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.6300306299958988 y2[1] (numeric) -0.6300306299959478 absolute error 4.907185768843192e-14 relative error 7.788805075834385e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.4699999999999913 y1[1] (analytic) 0.7828316566380599 y1[1] (numeric) 0.782831656638135 absolute error 7.51620987671231e-14 relative error 9.601310592102701e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.6222335553193116 y2[1] (numeric) -0.62223355531936 absolute error 4.8405723873656825e-14 relative error 7.779349644494254e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.479999999999991 y1[1] (analytic) 0.7890147472295257 y1[1] (numeric) 0.7890147472296015 absolute error 7.582823258189819e-14 relative error 9.610496235736343e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.6143742578057187 y2[1] (numeric) -0.6143742578057664 absolute error 4.7628567756419216e-14 relative error 7.752370342879929e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.489999999999991 y1[1] (analytic) 0.7951189370037787 y1[1] (numeric) 0.795118937003855 absolute error 7.638334409421077e-14 relative error 9.60653061314873e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.6064535233783221 y2[1] (numeric) -0.606453523378369 absolute error 4.6851411639181606e-14 relative error 7.725474390550194e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.4999999999999907 y1[1] (analytic) 0.8011436155469281 y1[1] (numeric) 0.8011436155470052 absolute error 7.704947790898586e-14 relative error 9.617436426349775e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.598472144103964 y2[1] (numeric) -0.5984721441040101 absolute error 4.6074255521943996e-14 relative error 7.698646624719124e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.5099999999999905 y1[1] (analytic) 0.8070881803961404 y1[1] (numeric) 0.8070881803962181 absolute error 7.771561172376096e-14 relative error 9.629135156658602e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.5904309181139206 y2[1] (numeric) -0.5904309181139659 absolute error 4.529709940470639e-14 relative error 7.671871173244784e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.5199999999999902 y1[1] (analytic) 0.8129520370998843 y1[1] (numeric) 0.8129520370999626 absolute error 7.827072323607354e-14 relative error 9.627963233267193e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.5823306495240899 y2[1] (numeric) -0.5823306495241344 absolute error 4.451994328746878e-14 relative error 7.645131391221247e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.52999999999999 y1[1] (analytic) 0.818734599277376 y1[1] (numeric) 0.8187345992774548 absolute error 7.882583474838611e-14 relative error 9.62776396868517e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.5741721483545806 y2[1] (numeric) -0.5741721483546244 absolute error 4.374278717023117e-14 relative error 7.618409791486048e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.53999999999999 y1[1] (analytic) 0.8244352886772165 y1[1] (numeric) 0.8244352886772959 absolute error 7.938094626069869e-14 relative error 9.628523590743334e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.5659562304487112 y2[1] (numeric) -0.5659562304487541 absolute error 4.285460875053104e-14 relative error 7.572071203554789e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.5499999999999896 y1[1] (analytic) 0.8300535352352164 y1[1] (numeric) 0.8300535352352963 absolute error 7.993605777301127e-14 relative error 9.630229181586389e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.5576837173914255 y2[1] (numeric) -0.5576837173914675 absolute error 4.196643033083092e-14 relative error 7.525131005640539e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.5599999999999894 y1[1] (analytic) 0.8355887771314018 y1[1] (numeric) 0.8355887771314823 absolute error 8.049116928532385e-14 relative error 9.632868641636398e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.5493554364271356 y2[1] (numeric) -0.5493554364271767 absolute error 4.107825191113079e-14 relative error 7.477536251992522e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.569999999999989 y1[1] (analytic) 0.8410404608461957 y1[1] (numeric) 0.8410404608462767 absolute error 8.104628079763643e-14 relative error 9.636430655915575e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.5409722203769975 y2[1] (numeric) -0.5409722203770377 absolute error 4.0190073491430667e-14 relative error 7.429230555207188e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.579999999999989 y1[1] (analytic) 0.8464080412157696 y1[1] (numeric) 0.8464080412158512 absolute error 8.1601392309949e-14 relative error 9.640904662571236e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.5325349075556305 y2[1] (numeric) -0.5325349075556698 absolute error 3.930189507173054e-14 relative error 7.380153772853833e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.5899999999999888 y1[1] (analytic) 0.8516909814865598 y1[1] (numeric) 0.8516909814866418 absolute error 8.204548151979907e-14 relative error 9.633245308831981e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.5240443416872855 y2[1] (numeric) -0.524044341687324 absolute error 3.8413716652030416e-14 relative error 7.330241660151947e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.5999999999999885 y1[1] (analytic) 0.8568887533689413 y1[1] (numeric) 0.8568887533690238 absolute error 8.248957072964913e-14 relative error 9.626637110749017e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.515501371821474 y2[1] (numeric) -0.5155013718215115 absolute error 3.7414515929867775e-14 relative error 7.257888722520217e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.6099999999999883 y1[1] (analytic) 0.8620008370900576 y1[1] (numeric) 0.8620008370901405 absolute error 8.293365993949919e-14 relative error 9.621064895884166e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.5069068522480634 y2[1] (numeric) -0.5069068522480998 absolute error 3.6415315207705135e-14 relative error 7.183827767608216e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.619999999999988 y1[1] (analytic) 0.8670267214457965 y1[1] (numeric) 0.8670267214458799 absolute error 8.337774914934926e-14 relative error 9.616514357286938e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.49826164241184895 y2[1] (numeric) -0.4982616424118844 absolute error 3.547162563677375e-14 relative error 7.11907612736802e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.629999999999988 y1[1] (analytic) 0.8719659038519106 y1[1] (numeric) 0.8719659038519946 absolute error 8.393286066166183e-14 relative error 9.625704433038986e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.48956660682660996 y2[1] (numeric) -0.48956660682664443 absolute error 3.447242491461111e-14 relative error 7.041416721222619e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.6399999999999877 y1[1] (analytic) 0.8768178903942755 y1[1] (numeric) 0.8768178903943599 absolute error 8.43769498715119e-14 relative error 9.62308716506348e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.48082261498865914 y2[1] (numeric) -0.4808226149886926 absolute error 3.347322419244847e-14 relative error 6.961657615301223e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.6499999999999875 y1[1] (analytic) 0.88158219587828 y1[1] (numeric) 0.8815821958783648 absolute error 8.482103908136196e-14 relative error 9.62145554639504e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.47203054128989363 y2[1] (numeric) -0.47203054128992605 absolute error 3.241851231905457e-14 relative error 6.867884486979628e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.6599999999999873 y1[1] (analytic) 0.886258343877346 y1[1] (numeric) 0.8862583438774313 absolute error 8.526512829121202e-14 relative error 9.620798368812008e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.46319126493035656 y2[1] (numeric) -0.463191264930388 absolute error 3.141931159689193e-14 relative error 6.7832262772951906e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.669999999999987 y1[1] (analytic) 0.8908458667805706 y1[1] (numeric) 0.8908458667806562 absolute error 8.559819519859957e-14 relative error 9.608642571126588e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.45430566983031795 y2[1] (numeric) -0.45430566983034826 absolute error 3.0309088572266774e-14 relative error 6.671518888062116e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.679999999999987 y1[1] (analytic) 0.8953443058394861 y1[1] (numeric) 0.8953443058395721 absolute error 8.604228440844963e-14 relative error 9.609966115524162e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.4453746445418831 y2[1] (numeric) -0.4453746445419123 absolute error 2.919886554764162e-14 relative error 6.556023317779096e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.6899999999999866 y1[1] (analytic) 0.8997532112139355 y1[1] (numeric) 0.8997532112140219 absolute error 8.637535131583718e-14 relative error 9.599893641868825e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.4363990821601383 y2[1] (numeric) -0.43639908216016643 absolute error 2.8144153674247718e-14 relative error 6.449178017271841e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.6999999999999864 y1[1] (analytic) 0.9040721420170553 y1[1] (numeric) 0.904072142017142 absolute error 8.670841822322473e-14 relative error 9.590873802368415e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.4273798802338422 y2[1] (numeric) -0.42737988023386925 absolute error 2.7033930649622562e-14 relative error 6.325503819887558e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.709999999999986 y1[1] (analytic) 0.9083006663593644 y1[1] (numeric) 0.9083006663594515 absolute error 8.715250743307479e-14 relative error 9.595116535849085e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.41831794067567146 y2[1] (numeric) -0.4183179406756974 absolute error 2.5923707624997405e-14 relative error 6.197130245746851e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.719999999999986 y1[1] (analytic) 0.9124383613919522 y1[1] (numeric) 0.9124383613920397 absolute error 8.748557434046234e-14 relative error 9.588107870322381e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.4092141696720303 y2[1] (numeric) -0.40921416967205504 absolute error 2.475797344914099e-14 relative error 6.050126140300463e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.7299999999999858 y1[1] (analytic) 0.9164848133487636 y1[1] (numeric) 0.9164848133488515 absolute error 8.781864124784988e-14 relative error 9.58211636120488e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.40006947759243255 y2[1] (numeric) -0.40006947759245615 absolute error 2.3592239273284576e-14 relative error 5.8970355387418416e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.7399999999999856 y1[1] (analytic) 0.920439617587975 y1[1] (numeric) 0.9204396175880631 absolute error 8.815170815523743e-14 relative error 9.577131022047946e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.3908847788984657 y2[1] (numeric) -0.3908847788984881 absolute error 2.2426505097428162e-14 relative error 5.737369759095573e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.7499999999999853 y1[1] (analytic) 0.9243023786324579 y1[1] (numeric) 0.9243023786325464 absolute error 8.848477506262498e-14 relative error 9.573141550662426e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.38166099205234527 y2[1] (numeric) -0.3816609920523664 absolute error 2.1149748619109232e-14 relative error 5.541501243126392e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.759999999999985 y1[1] (analytic) 0.9280727102093271 y1[1] (numeric) 0.9280727102094158 absolute error 8.870681966755001e-14 relative error 9.558175635564389e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.3723990394250693 y2[1] (numeric) -0.3723990394250893 absolute error 1.9984014443252818e-14 relative error 5.36629054524557e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.769999999999985 y1[1] (analytic) 0.9317502352885667 y1[1] (numeric) 0.9317502352886557 absolute error 8.903988657493755e-14 relative error 9.556196843606008e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.36309984720418237 y2[1] (numeric) -0.36309984720420113 absolute error 1.8762769116165146e-14 relative error 5.1673855719400115e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.7799999999999847 y1[1] (analytic) 0.9353345861207334 y1[1] (numeric) 0.9353345861208227 absolute error 8.926193117986259e-14 relative error 9.543315569038587e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.35376434530115725 y2[1] (numeric) -0.35376434530117473 absolute error 1.7486012637846216e-14 relative error 4.94284199922988e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.7899999999999845 y1[1] (analytic) 0.9388254042737308 y1[1] (numeric) 0.9388254042738204 absolute error 8.959499808725013e-14 relative error 9.543307805625502e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.3443934672584046 y2[1] (numeric) -0.34439346725842085 absolute error 1.6264767310758543e-14 relative error 4.7227281749089614e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.7999999999999843 y1[1] (analytic) 0.9422223406686528 y1[1] (numeric) 0.9422223406687427 absolute error 8.981704269217516e-14 relative error 9.532467955327406e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.3349881501559197 y2[1] (numeric) -0.3349881501559347 absolute error 1.4988010832439613e-14 relative error 4.4741913483994785e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.809999999999984 y1[1] (analytic) 0.9455250556146907 y1[1] (numeric) 0.9455250556147807 absolute error 9.00390872971002e-14 relative error 9.522654821512406e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.3255493345175751 y2[1] (numeric) -0.32554933451758883 absolute error 1.3711254354120683e-14 relative error 4.21172857700327e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.819999999999984 y1[1] (analytic) 0.948733218843102 y1[1] (numeric) 0.9487332188431922 absolute error 9.015010959956271e-14 relative error 9.502155907378574e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.31607796421706896 y2[1] (numeric) -0.3160779642170814 absolute error 1.2434497875801753e-14 relative error 3.933997077778654e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.8299999999999836 y1[1] (analytic) 0.9518465095402373 y1[1] (numeric) 0.9518465095403277 absolute error 9.037215420448774e-14 relative error 9.494404118594654e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.3065749863835386 y2[1] (numeric) -0.30657498638354963 absolute error 1.1046719095020308e-14 relative error 3.6032682331103113e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.8399999999999834 y1[1] (analytic) 0.9548646163796215 y1[1] (numeric) 0.954864616379712 absolute error 9.048317650695026e-14 relative error 9.476021517062608e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.2970413513068481 y2[1] (numeric) -0.2970413513068578 absolute error 9.71445146547012e-15 relative error 3.2704037410047154e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.849999999999983 y1[1] (analytic) 0.9577872375530855 y1[1] (numeric) 0.9577872375531762 absolute error 9.070522111187529e-14 relative error 9.4702891785868e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.28747801234256054 y2[1] (numeric) -0.2874780123425689 absolute error 8.382183835919932e-15 relative error 2.915765198046406e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.859999999999983 y1[1] (analytic) 0.9606140808009476 y1[1] (numeric) 0.9606140808010384 absolute error 9.08162434143378e-14 relative error 9.453977953208473e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.277885925816603 y2[1] (numeric) -0.27788592581661 absolute error 6.994405055138486e-15 relative error 2.5170058665564085e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.869999999999983 y1[1] (analytic) 0.9633448634412386 y1[1] (numeric) 0.9633448634413295 absolute error 9.092726571680032e-14 relative error 9.438703538833643e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.2682660509296346 y2[1] (numeric) -0.2682660509296402 absolute error 5.551115123125783e-15 relative error 2.0692574046880883e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.8799999999999826 y1[1] (analytic) 0.9659793123979703 y1[1] (numeric) 0.9659793123980612 absolute error 9.092726571680032e-14 relative error 9.412962011689494e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.25861934966112754 y2[1] (numeric) -0.2586193496611317 absolute error 4.163336342344337e-15 relative error 1.6098317267441951e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.8899999999999824 y1[1] (analytic) 0.9685171642284423 y1[1] (numeric) 0.9685171642285333 absolute error 9.103828801926284e-14 relative error 9.399759899122429e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.24894678667316977 y2[1] (numeric) -0.24894678667317252 absolute error 2.7478019859472624e-15 relative error 1.103770818923933e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.899999999999982 y1[1] (analytic) 0.9709581651495862 y1[1] (numeric) 0.9709581651496774 absolute error 9.114931032172535e-14 relative error 9.387563089052642e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.23924932921399966 y2[1] (numeric) -0.23924932921400097 absolute error 1.304512053934559e-15 relative error 5.452521259809766e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.909999999999982 y1[1] (analytic) 0.9733020710633444 y1[1] (numeric) 0.9733020710634356 absolute error 9.114931032172535e-14 relative error 9.36495596091187e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.22952794702128193 y2[1] (numeric) -0.2295279470212818 absolute error 1.3877787807814457e-16 relative error 6.04623009438049e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.9199999999999817 y1[1] (analytic) 0.9755486475810786 y1[1] (numeric) 0.9755486475811699 absolute error 9.126033262418787e-14 relative error 9.354770041501509e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.2197836122251347 y2[1] (numeric) -0.21978361222513312 absolute error 1.582067810090848e-15 relative error 7.198297425698243e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.9299999999999815 y1[1] (analytic) 0.9776976700470092 y1[1] (numeric) 0.9776976700471005 absolute error 9.126033262418787e-14 relative error 9.334207845642092e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.2100172992509174 y2[1] (numeric) -0.21001729925091434 absolute error 3.0531133177191805e-15 relative error 1.4537437290208579e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.9399999999999813 y1[1] (analytic) 0.9797489235606806 y1[1] (numeric) 0.9797489235607718 absolute error 9.126033262418787e-14 relative error 9.314665260618241e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.2002299847217888 y2[1] (numeric) -0.20022998472178427 absolute error 4.524158825347513e-15 relative error 2.2594811819187037e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.949999999999981 y1[1] (analytic) 0.9817022029984505 y1[1] (numeric) 0.9817022029985417 absolute error 9.126033262418787e-14 relative error 9.296131998629314e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.1904226473610458 y2[1] (numeric) -0.19042264736103978 absolute error 6.022959908591474e-15 relative error 3.162943059588811e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.959999999999981 y1[1] (analytic) 0.983557313034003 y1[1] (numeric) 0.9835573130340942 absolute error 9.126033262418787e-14 relative error 9.2785983505806e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.1805962678942517 y2[1] (numeric) -0.18059626789424418 absolute error 7.521760991835436e-15 relative error 4.1649592649610065e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.9699999999999807 y1[1] (analytic) 0.9853140681578805 y1[1] (numeric) 0.9853140681579716 absolute error 9.114931032172535e-14 relative error 9.25078746638987e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.17075182895116459 y2[1] (numeric) -0.17075182895115554 absolute error 9.048317650695026e-15 relative error 5.2991043822335075e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.9799999999999804 y1[1] (analytic) 0.9869722926960345 y1[1] (numeric) 0.9869722926961255 absolute error 9.103828801926284e-14 relative error 9.223996326237358e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.16089031496747505 y2[1] (numeric) -0.16089031496746448 absolute error 1.0574874309554616e-14 relative error 6.572722734548932e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.9899999999999802 y1[1] (analytic) 0.988531820827393 y1[1] (numeric) 0.988531820827484 absolute error 9.103828801926284e-14 relative error 9.209444359926071e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.1510127120863636 y2[1] (numeric) -0.15101271208635147 absolute error 1.2129186544029835e-14 relative error 8.031897696859585e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.99999999999998 y1[1] (analytic) 0.9899924966004426 y1[1] (numeric) 0.9899924966005336 absolute error 9.092726571680032e-14 relative error 9.184641906785909e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.141120008059887 y2[1] (numeric) -0.14112000805987332 absolute error 1.3683498778505054e-14 relative error 9.696356290383854e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.00999999999998 y1[1] (analytic) 0.9913541739488232 y1[1] (numeric) 0.991354173948914 absolute error 9.08162434143378e-14 relative error 9.160827260412183e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.13121319215020405 y2[1] (numeric) -0.13121319215018878 absolute error 1.5265566588595902e-14 relative error 1.1634170572666891e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.0199999999999796 y1[1] (analytic) 0.9926167167059347 y1[1] (numeric) 0.9926167167060252 absolute error 9.059419880941277e-14 relative error 9.126805672793394e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.12129325503065003 y2[1] (numeric) -0.12129325503063317 absolute error 1.6861512186494565e-14 relative error 1.3901442567629806e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.0299999999999794 y1[1] (analytic) 0.9937799986185533 y1[1] (numeric) 0.9937799986186437 absolute error 9.048317650695026e-14 relative error 9.104950455103775e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.11136118868667032 y2[1] (numeric) -0.11136118868665185 absolute error 1.8471335572201042e-14 relative error 1.658686997691146e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.039999999999979 y1[1] (analytic) 0.9948439033594574 y1[1] (numeric) 0.9948439033595476 absolute error 9.026113190202523e-14 relative error 9.07289390800157e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.10141798631662263 y2[1] (numeric) -0.10141798631660254 absolute error 2.0095036745715333e-14 relative error 1.9814075861237755e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.049999999999979 y1[1] (analytic) 0.9958083245390593 y1[1] (numeric) 0.9958083245391494 absolute error 9.00390872971002e-14 relative error 9.041809058864574e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.09146464223245798 y2[1] (numeric) -0.09146464223243626 absolute error 2.1718737919229625e-14 relative error 2.374550141904159e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.0599999999999787 y1[1] (analytic) 0.9966731657160448 y1[1] (numeric) 0.9966731657161347 absolute error 8.992806499463768e-14 relative error 9.022823939483735e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.08150215176029037 y2[1] (numeric) -0.08150215176026701 absolute error 2.335631688055173e-14 relative error 2.8657300913043427e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.0699999999999785 y1[1] (analytic) 0.997438340407017 y1[1] (numeric) 0.9974383404071067 absolute error 8.970602038971265e-14 relative error 8.993640684907601e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.07153151114086496 y2[1] (numeric) -0.07153151114083994 absolute error 2.5021651417489466e-14 relative error 3.497990049198743e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.0799999999999783 y1[1] (analytic) 0.9981037720951443 y1[1] (numeric) 0.9981037720952337 absolute error 8.93729534823251e-14 relative error 8.954274693774588e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.061553717429934866 y2[1] (numeric) -0.06155371742990817 absolute error 2.6693924848331108e-14 relative error 4.336687687257259e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.089999999999978 y1[1] (analytic) 0.9986693942378124 y1[1] (numeric) 0.9986693942379016 absolute error 8.915090887740007e-14 relative error 8.92696916434896e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.05156976839855636 y2[1] (numeric) -0.051569768398528 absolute error 2.836619827917275e-14 relative error 5.500547929543703e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.099999999999978 y1[1] (analytic) 0.9991351502732786 y1[1] (numeric) 0.9991351502733674 absolute error 8.881784197001252e-14 relative error 8.889472254651385e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.041580662433312675 y2[1] (numeric) -0.041580662433282616 absolute error 3.0059288391726113e-14 relative error 7.229150915990189e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.1099999999999777 y1[1] (analytic) 0.9995009936263272 y1[1] (numeric) 0.9995009936264158 absolute error 8.859579736508749e-14 relative error 8.864002930467307e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.031587398436476094 y2[1] (numeric) -0.03158739843644433 absolute error 3.176625629208729e-14 relative error 1.0056623167612518e-10% Correct digits 12 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.1199999999999775 y1[1] (analytic) 0.9997668877129279 y1[1] (numeric) 0.9997668877130161 absolute error 8.826273045769994e-14 relative error 8.828331038209341e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.0215909757261186 y2[1] (numeric) -0.021590975726085128 absolute error 3.347322419244847e-14 relative error 1.5503340199653837e-10% Correct digits 12 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.1299999999999772 y1[1] (analytic) 0.9999328059438936 y1[1] (numeric) 0.9999328059439815 absolute error 8.79296635503124e-14 relative error 8.793557229809115e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.011592393936180922 y2[1] (numeric) -0.011592393936145725 absolute error 3.5197539327569416e-14 relative error 3.0362614936432305e-10% Correct digits 12 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.139999999999977 y1[1] (analytic) 0.9999987317275395 y1[1] (numeric) 0.999998731727627 absolute error 8.748557434046234e-14 relative error 8.748568529614768e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.0015926529165099209 y2[1] (numeric) -0.0015926529164729895 absolute error 3.6931395441808235e-14 relative error 2.318860252536271e-09% Correct digits 11 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.149999999999977 y1[1] (analytic) 0.9999646584713422 y1[1] (numeric) 0.9999646584714292 absolute error 8.704148513061227e-14 relative error 8.704456141847415e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.008407247367125526 y2[1] (numeric) 0.008407247367164201 absolute error 3.8675659896902914e-14 relative error 4.600276191245969e-10% Correct digits 12 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.1599999999999766 y1[1] (analytic) 0.9998305895825987 y1[1] (numeric) 0.9998305895826854 absolute error 8.670841822322473e-14 relative error 8.67231100214918e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.018406306933030275 y2[1] (numeric) 0.018406306933070705 absolute error 4.0429465331115466e-14 relative error 2.1965006602473005e-10% Correct digits 12 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.1699999999999764 y1[1] (analytic) 0.9995965384680865 y1[1] (numeric) 0.9995965384681728 absolute error 8.626432901337466e-14 relative error 8.629914739958733e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.02840352588358026 y2[1] (numeric) 0.028403525883622452 absolute error 4.21919443827079e-14 relative error 1.4854474249303873e-10% Correct digits 12 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.179999999999976 y1[1] (analytic) 0.9992625285327218 y1[1] (numeric) 0.9992625285328076 absolute error 8.58202398035246e-14 relative error 8.58835764906943e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.03839790450521142 y2[1] (numeric) 0.038397904505255376 absolute error 4.395789288125229e-14 relative error 1.1447992656809244e-10% Correct digits 12 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.189999999999976 y1[1] (analytic) 0.9988285931772198 y1[1] (numeric) 0.9988285931773052 absolute error 8.537615059367454e-14 relative error 8.547627808901387e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.0483884433683902 y2[1] (numeric) 0.04838844336843594 absolute error 4.574118861455645e-14 relative error 9.452915909346431e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.1999999999999758 y1[1] (analytic) 0.9982947757947545 y1[1] (numeric) 0.9982947757948394 absolute error 8.493206138382448e-14 relative error 8.507713697711083e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.0583741434275557 y2[1] (numeric) 0.05837414342760324 absolute error 4.753836213566842e-14 relative error 8.14373613801548e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.2099999999999755 y1[1] (analytic) 0.9976611297666192 y1[1] (numeric) 0.9976611297667036 absolute error 8.43769498715119e-14 relative error 8.457475925843679e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.06835400612102341 y2[1] (numeric) 0.06835400612107276 absolute error 4.934941344458821e-14 relative error 7.219681222079825e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.2199999999999753 y1[1] (analytic) 0.9969277184568889 y1[1] (numeric) 0.9969277184569727 absolute error 8.382183835919932e-14 relative error 8.4080156271454e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.07832703347084051 y2[1] (numeric) 0.07832703347089166 absolute error 5.115352585960409e-14 relative error 6.530762572368768e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.229999999999975 y1[1] (analytic) 0.9960946152060831 y1[1] (numeric) 0.9960946152061664 absolute error 8.326672684688674e-14 relative error 8.35931904216344e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.08829222818258282 y2[1] (numeric) 0.0882922281826358 absolute error 5.297151606242778e-14 relative error 5.999567249892707e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.239999999999975 y1[1] (analytic) 0.9951619033238328 y1[1] (numeric) 0.9951619033239155 absolute error 8.271161533457416e-14 relative error 8.311372758374093e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.09824859374508349 y2[1] (numeric) 0.0982485937451383 absolute error 5.480338405305929e-14 relative error 5.578032413904319e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.2499999999999747 y1[1] (analytic) 0.9941296760805489 y1[1] (numeric) 0.9941296760806311 absolute error 8.215650382226158e-14 relative error 8.264163700068933e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.10819513453008321 y2[1] (numeric) 0.10819513453013985 absolute error 5.66352520436908e-14 relative error 5.234547032976201e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.2599999999999745 y1[1] (analytic) 0.9929980366980957 y1[1] (numeric) 0.9929980366981772 absolute error 8.149037000748649e-14 relative error 8.206498602802601e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.11813085589179223 y2[1] (numeric) 0.11813085589185071 absolute error 5.848099782213012e-14 relative error 4.950526886531548e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.2699999999999743 y1[1] (analytic) 0.9917670983394682 y1[1] (numeric) 0.9917670983395491 absolute error 8.093525849517391e-14 relative error 8.160712190461363e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.12805476426635412 y2[1] (numeric) 0.12805476426641446 absolute error 6.034062138837726e-14 relative error 4.712094995768269e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.279999999999974 y1[1] (analytic) 0.9904369840974767 y1[1] (numeric) 0.9904369840975569 absolute error 8.01581023779363e-14 relative error 8.093205692533723e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.13796586727120133 y2[1] (numeric) 0.13796586727126353 absolute error 6.22002449546244e-14 relative error 4.5083792234173797e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.289999999999974 y1[1] (analytic) 0.9890078269824367 y1[1] (numeric) 0.9890078269825163 absolute error 7.960299086562372e-14 relative error 8.048772587422339e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.1478631738042926 y2[1] (numeric) 0.14786317380435665 absolute error 6.405986852087153e-14 relative error 4.332374780867298e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.2999999999999736 y1[1] (analytic) 0.9874797699088691 y1[1] (numeric) 0.9874797699089479 absolute error 7.882583474838611e-14 relative error 7.982526543876505e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.15774569414322234 y2[1] (numeric) 0.15774569414328826 absolute error 6.591949208711867e-14 relative error 4.1788457330105164e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.3099999999999734 y1[1] (analytic) 0.9858529656812075 y1[1] (numeric) 0.9858529656812857 absolute error 7.815970093361102e-14 relative error 7.928129615109896e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.16761244004419204 y2[1] (numeric) 0.16761244004425985 absolute error 6.780687122898144e-14 relative error 4.045455767549458e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.319999999999973 y1[1] (analytic) 0.9841275769785193 y1[1] (numeric) 0.9841275769785967 absolute error 7.738254481637341e-14 relative error 7.863060300977873e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.1774624248408339 y2[1] (numeric) 0.1774624248409036 absolute error 6.96942503708442e-14 relative error 3.9272680080503233e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.329999999999973 y1[1] (analytic) 0.9823037763382367 y1[1] (numeric) 0.9823037763383133 absolute error 7.66053886991358e-14 relative error 7.798543642446333e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.18729466354287658 y2[1] (numeric) 0.18729466354294813 absolute error 7.155387393709134e-14 relative error 3.8203904256306165e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.3399999999999728 y1[1] (analytic) 0.9803817461389042 y1[1] (numeric) 0.98038174613898 absolute error 7.582823258189819e-14 relative error 7.734561856188882e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.1971081729346433 y2[1] (numeric) 0.19710817293471675 absolute error 7.34412530789541e-14 relative error 3.7259364736390506e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.3499999999999726 y1[1] (analytic) 0.9783616785819398 y1[1] (numeric) 0.9783616785820148 absolute error 7.505107646466058e-14 relative error 7.67109731581488e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.20690197167337282 y2[1] (numeric) 0.20690197167344818 absolute error 7.53563877964325e-14 relative error 3.642129999389004e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.3599999999999723 y1[1] (analytic) 0.9762437756724158 y1[1] (numeric) 0.9762437756724901 absolute error 7.427392034742297e-14 relative error 7.608132538029724e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.21667508038735275 y2[1] (numeric) 0.21667508038743 absolute error 7.724376693829527e-14 relative error 3.564958499159461e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.369999999999972 y1[1] (analytic) 0.9740282491988584 y1[1] (numeric) 0.9740282491989319 absolute error 7.349676423018536e-14 relative error 7.54565016883614e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.2264265217738559 y2[1] (numeric) 0.22642652177393507 absolute error 7.918665723138929e-14 relative error 3.497234184892756e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.379999999999972 y1[1] (analytic) 0.9717153207120687 y1[1] (numeric) 0.9717153207121413 absolute error 7.260858581048524e-14 relative error 7.472207575905873e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.2361553206968698 y2[1] (numeric) 0.2361553206969509 absolute error 8.107403637325206e-14 relative error 3.433081081298994e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.3899999999999717 y1[1] (analytic) 0.9693052215029678 y1[1] (numeric) 0.9693052215030395 absolute error 7.172040739078511e-14 relative error 7.399156199693031e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.24586050428460948 y2[1] (numeric) 0.24586050428469247 absolute error 8.298917109073045e-14 relative error 3.37545761293411e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.3999999999999715 y1[1] (analytic) 0.9667981925794683 y1[1] (numeric) 0.9667981925795391 absolute error 7.083222897108499e-14 relative error 7.326475112877578e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.25554110202680375 y2[1] (numeric) 0.2555411020268887 absolute error 8.493206138382448e-14 relative error 3.323616463660548e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.4099999999999713 y1[1] (analytic) 0.9641944846423733 y1[1] (numeric) 0.9641944846424433 absolute error 6.994405055138486e-14 relative error 7.254143397981333e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.26519614587174556 y2[1] (numeric) 0.26519614587183243 absolute error 8.68749516769185e-14 relative error 3.275875348465021e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.419999999999971 y1[1] (analytic) 0.9614943580603068 y1[1] (numeric) 0.9614943580603759 absolute error 6.905587213168474e-14 relative error 7.182140129349924e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.27482467032309627 y2[1] (numeric) 0.274824670323185 absolute error 8.876233081878127e-14 relative error 3.22978030736572e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.429999999999971 y1[1] (analytic) 0.9586980828436769 y1[1] (numeric) 0.958698082843745 absolute error 6.816769371198461e-14 relative error 7.1104443548887205e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.28442571253643445 y2[1] (numeric) 0.28442571253652515 absolute error 9.070522111187529e-14 relative error 3.189065443591219e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.4399999999999706 y1[1] (analytic) 0.955805938617675 y1[1] (numeric) 0.9558059386177422 absolute error 6.716849298982197e-14 relative error 7.027419508081708e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.2939983124155396 y2[1] (numeric) 0.29399831241563223 absolute error 9.264811140496931e-14 relative error 3.151314395098286e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.4499999999999704 y1[1] (analytic) 0.9528182145943137 y1[1] (numeric) 0.9528182145943799 absolute error 6.616929226765933e-14 relative error 6.944587252231798e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.30354151270840096 y2[1] (numeric) 0.30354151270849555 absolute error 9.459100169806334e-14 relative error 3.11624597420165e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.45999999999997 y1[1] (analytic) 0.9497352095435054 y1[1] (numeric) 0.9497352095435706 absolute error 6.517009154549669e-14 relative error 6.861922237969991e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.31305435910294194 y2[1] (numeric) 0.31305435910303847 absolute error 9.653389199115736e-14 relative error 3.083614368692245e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.46999999999997 y1[1] (analytic) 0.9465572317631863 y1[1] (numeric) 0.9465572317632504 absolute error 6.405986852087153e-14 relative error 6.767669864139637e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.3225359003224504 y2[1] (numeric) 0.32253590032254886 absolute error 9.847678228425139e-14 relative error 3.053203757653046e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.47999999999997 y1[1] (analytic) 0.9432845990484858 y1[1] (numeric) 0.9432845990485489 absolute error 6.306066779870889e-14 relative error 6.685221815591999e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.3319851882207056 y2[1] (numeric) 0.331985188220806 absolute error 1.0041967257734541e-13 relative error 3.0248238819192694e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.4899999999999696 y1[1] (analytic) 0.9399176386599484 y1[1] (numeric) 0.9399176386600104 absolute error 6.206146707654625e-14 relative error 6.6028622640839056e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.34140127787679214 y2[1] (numeric) 0.3414012778768945 absolute error 1.0236256287043943e-13 relative error 2.998306377382129e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.4999999999999694 y1[1] (analytic) 0.9364566872908071 y1[1] (numeric) 0.9364566872908681 absolute error 6.09512440519211e-14 relative error 6.508709359346302e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.35078322768959114 y2[1] (numeric) 0.35078322768969544 absolute error 1.0430545316353346e-13 relative error 2.973501722147149e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.509999999999969 y1[1] (analytic) 0.9329020910333147 y1[1] (numeric) 0.9329020910333745 absolute error 5.984102102729594e-14 relative error 6.414501757736865e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.3601300994719396 y2[1] (numeric) 0.36013009947204583 absolute error 1.0624834345662748e-13 relative error 2.950276680911146e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.519999999999969 y1[1] (analytic) 0.9292542053441347 y1[1] (numeric) 0.9292542053441935 absolute error 5.873079800267078e-14 relative error 6.320207932868138e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.3694409585444482 y2[1] (numeric) 0.36944095854455644 absolute error 1.0824674490095276e-13 relative error 2.930014726234784e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.5299999999999687 y1[1] (analytic) 0.9255133950087963 y1[1] (numeric) 0.9255133950088539 absolute error 5.762057497804562e-14 relative error 6.225795897583739e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.37871487382896885 y2[1] (numeric) 0.37871487382907904 absolute error 1.1018963519404679e-13 relative error 2.9095671389925248e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.5399999999999685 y1[1] (analytic) 0.9216800341052156 y1[1] (numeric) 0.921680034105272 absolute error 5.639932965095795e-14 relative error 6.119187523218021e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.3879509179417013 y2[1] (numeric) 0.3879509179418134 absolute error 1.1213252548714081e-13 relative error 2.8903791768831786e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.5499999999999683 y1[1] (analytic) 0.9177545059662885 y1[1] (numeric) 0.9177545059663437 absolute error 5.517808432387028e-14 relative error 6.012292390302588e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.39714816728593083 y2[1] (numeric) 0.39714816728604496 absolute error 1.141309269314661e-13 relative error 2.8737618937391793e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.559999999999968 y1[1] (analytic) 0.9137372031415577 y1[1] (numeric) 0.9137372031416116 absolute error 5.384581669432009e-14 relative error 5.892921565324314e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.40630570214438755 y2[1] (numeric) 0.4063057021445036 absolute error 1.1607381722456012e-13 relative error 2.856809949059276e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.569999999999968 y1[1] (analytic) 0.9096285273579579 y1[1] (numeric) 0.9096285273580105 absolute error 5.262457136723242e-14 relative error 5.785281550050106e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.4154226067712168 y2[1] (numeric) 0.4154226067713348 absolute error 1.1801670751765414e-13 relative error 2.8408831294693784e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.5799999999999677 y1[1] (analytic) 0.9054288894796434 y1[1] (numeric) 0.9054288894796948 absolute error 5.140332604014475e-14 relative error 5.6772350250152294e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.42449796948355323 y2[1] (numeric) 0.42449796948367324 absolute error 1.2001510896197942e-13 relative error 2.827224570897018e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.5899999999999674 y1[1] (analytic) 0.9011387094669026 y1[1] (numeric) 0.9011387094669527 absolute error 5.0182080713057076e-14 relative error 5.5687409924653985e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.4335308827526885 y2[1] (numeric) 0.43353088275281043 absolute error 1.2195799925507345e-13 relative error 2.8131329071808123e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.5999999999999672 y1[1] (analytic) 0.8967584163341615 y1[1] (numeric) 0.8967584163342104 absolute error 4.884981308350689e-14 relative error 5.4473771523883694e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.442520443294823 y2[1] (numeric) 0.4425204432949469 absolute error 1.2390088954816747e-13 relative error 2.7998907491290806e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.609999999999967 y1[1] (analytic) 0.8922884481070832 y1[1] (numeric) 0.8922884481071307 absolute error 4.75175454539567e-14 relative error 5.325357013728159e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.45146575216139384 y2[1] (numeric) 0.4514657521615197 absolute error 1.258437798412615e-13 relative error 2.787449086420929e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.619999999999967 y1[1] (analytic) 0.8877292517787654 y1[1] (numeric) 0.8877292517788116 absolute error 4.618527782440651e-14 relative error 5.202631064805391e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.4603659148289687 y2[1] (numeric) 0.46036591482909656 absolute error 1.2784218128558678e-13 relative error 2.7769688668867164e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.6299999999999666 y1[1] (analytic) 0.8830812832650416 y1[1] (numeric) 0.8830812832650864 absolute error 4.474198789239381e-14 relative error 5.066576400189117e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.4692200412886977 y2[1] (numeric) 0.4692200412888275 absolute error 1.297850715786808e-13 relative error 2.7659745995126355e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.6399999999999664 y1[1] (analytic) 0.8783450073588901 y1[1] (numeric) 0.8783450073589334 absolute error 4.3298697960381105e-14 relative error 4.92957751198207e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.4780272461353132 y2[1] (numeric) 0.47802724613544495 absolute error 1.3172796187177482e-13 relative error 2.755658028632266e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.649999999999966 y1[1] (analytic) 0.8735208976839544 y1[1] (numeric) 0.8735208976839962 absolute error 4.18554080283684e-14 relative error 4.791574894125998e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.4867866486556699 y2[1] (numeric) 0.48678664865580357 absolute error 1.3367085216486885e-13 relative error 2.745984355446473e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.659999999999966 y1[1] (analytic) 0.8686094366471818 y1[1] (numeric) 0.8686094366472222 absolute error 4.04121180963557e-14 relative error 4.6525073745855e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.4954973729168152 y2[1] (numeric) 0.49549737291695084 absolute error 1.3561374245796287e-13 relative error 2.7369215231082547e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.6699999999999657 y1[1] (analytic) 0.8636111153905833 y1[1] (numeric) 0.8636111153906223 absolute error 3.8968828164342995e-14 relative error 4.512312019828352e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.5041585478535819 y2[1] (numeric) 0.5041585478537195 absolute error 1.375566327510569e-13 relative error 2.7284399587529395e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.6799999999999655 y1[1] (analytic) 0.8585264337421193 y1[1] (numeric) 0.8585264337421569 absolute error 3.752553823233029e-14 relative error 4.370924034192529e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.512769307355694 y2[1] (numeric) 0.5127693073558335 absolute error 1.3944401189291966e-13 relative error 2.7194297687593685e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.6899999999999653 y1[1] (analytic) 0.8533559001657175 y1[1] (numeric) 0.8533559001657535 absolute error 3.597122599785507e-14 relative error 4.215266571763274e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.521328790354377 y2[1] (numeric) 0.5213287903545183 absolute error 1.4133139103478243e-13 relative error 2.7109838100196117e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.699999999999965 y1[1] (analytic) 0.8481000317104267 y1[1] (numeric) 0.848100031710461 absolute error 3.430589146091734e-14 relative error 4.0450289091170154e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.5298361409084636 y2[1] (numeric) 0.5298361409086069 absolute error 1.432187701766452e-13 relative error 2.7030766517942794e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.709999999999965 y1[1] (analytic) 0.8427593539587124 y1[1] (numeric) 0.8427593539587452 absolute error 3.2862601528904634e-14 relative error 3.899405135586855e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.538290508289988 y2[1] (numeric) 0.5382905082901333 absolute error 1.4521717162097048e-13 relative error 2.6977472087012733e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.7199999999999647 y1[1] (analytic) 0.8373344009738994 y1[1] (numeric) 0.8373344009739306 absolute error 3.11972669919669e-14 relative error 3.7257835048555885e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.5466910470692574 y2[1] (numeric) 0.5466910470694045 absolute error 1.4710455076283324e-13 relative error 2.690816898345828e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.7299999999999645 y1[1] (analytic) 0.8318257152467654 y1[1] (numeric) 0.831825715246795 absolute error 2.964295475749168e-14 relative error 3.563601631226073e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.5550369171993943 y2[1] (numeric) 0.5550369171995433 absolute error 1.48991929904696e-13 relative error 2.6843607206612417e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.7399999999999642 y1[1] (analytic) 0.8262338476412924 y1[1] (numeric) 0.8262338476413205 absolute error 2.808864252301646e-14 relative error 3.399599593166399e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.5633272841003404 y2[1] (numeric) 0.5633272841004913 absolute error 1.5087930904655877e-13 relative error 2.678359690806029e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.749999999999964 y1[1] (analytic) 0.8205593573395813 y1[1] (numeric) 0.8205593573396077 absolute error 2.6423307986078726e-14 relative error 3.2201580238812232e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.5715613187423143 y2[1] (numeric) 0.5715613187424671 absolute error 1.5276668818842154e-13 relative error 2.6727961319106635e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.759999999999964 y1[1] (analytic) 0.8148028117859334 y1[1] (numeric) 0.8148028117859581 absolute error 2.475797344914099e-14 relative error 3.038523320123919e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.5797381977287135 y2[1] (numeric) 0.5797381977288681 absolute error 1.546540673302843e-13 relative error 2.6676535708046298e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.7699999999999636 y1[1] (analytic) 0.808964786630107 y1[1] (numeric) 0.80896478663013 absolute error 2.3092638912203256e-14 relative error 2.854591360941671e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.5878571033784533 y2[1] (numeric) 0.5878571033786099 absolute error 1.5654144647214707e-13 relative error 2.6629166437301364e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.7799999999999634 y1[1] (analytic) 0.8030458656697526 y1[1] (numeric) 0.803045865669774 absolute error 2.142730437526552e-14 relative error 2.6682541173902716e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.5959172238077346 y2[1] (numeric) 0.595917223807893 absolute error 1.5842882561400984e-13 relative error 2.6585710109484092e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.789999999999963 y1[1] (analytic) 0.7970466407920339 y1[1] (numeric) 0.7970466407920536 absolute error 1.965094753586527e-14 relative error 2.4654702159384187e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.6039177530112312 y2[1] (numeric) 0.6039177530113915 absolute error 1.603162047558726e-13 relative error 2.6546032792795075e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.799999999999963 y1[1] (analytic) 0.7909677119144394 y1[1] (numeric) 0.7909677119144572 absolute error 1.787459069646502e-14 relative error 2.2598382243949993e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.6118578909426898 y2[1] (numeric) 0.6118578909428519 absolute error 1.6209256159527285e-13 relative error 2.6491864204862462e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.8099999999999627 y1[1] (analytic) 0.7848096869247909 y1[1] (numeric) 0.784809686924807 absolute error 1.609823385706477e-14 relative error 2.051227721225551e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.619736843594934 y2[1] (numeric) 0.619736843595098 absolute error 1.6397994073713562e-13 relative error 2.645960820820821e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.8199999999999625 y1[1] (analytic) 0.778573181620456 y1[1] (numeric) 0.7785731816204702 absolute error 1.4210854715202004e-14 relative error 1.8252432848540636e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.6275538230792643 y2[1] (numeric) 0.6275538230794301 absolute error 1.6575629757653587e-13 relative error 2.6413080676205158e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.8299999999999623 y1[1] (analytic) 0.7722588196467677 y1[1] (numeric) 0.7722588196467801 absolute error 1.2434497875801753e-14 relative error 1.6101464378858516e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.6353080477042465 y2[1] (numeric) 0.6353080477044141 absolute error 1.6753265441593612e-13 relative error 2.6370302567602168e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.839999999999962 y1[1] (analytic) 0.7658672324346617 y1[1] (numeric) 0.7658672324346723 absolute error 1.0547118733938987e-14 relative error 1.3771471460412418e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.6429987420538799 y2[1] (numeric) 0.6429987420540493 absolute error 1.694200335577989e-13 relative error 2.6348423795765746e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.849999999999962 y1[1] (analytic) 0.7593990591375327 y1[1] (numeric) 0.7593990591375415 absolute error 8.770761894538737e-15 relative error 1.1549608587216181e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.6506251370651384 y2[1] (numeric) 0.6506251370653096 absolute error 1.7119639039719914e-13 relative error 2.6312600089421312e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.8599999999999617 y1[1] (analytic) 0.7528549465673204 y1[1] (numeric) 0.7528549465673273 absolute error 6.8833827526759706e-15 relative error 9.143039816715155e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.6581864701048762 y2[1] (numeric) 0.6581864701050492 absolute error 1.729727472365994e-13 relative error 2.6280204029268135e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.8699999999999615 y1[1] (analytic) 0.7462355491298286 y1[1] (numeric) 0.7462355491298335 absolute error 4.884981308350689e-15 relative error 6.546165368357182e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.6656819850460903 y2[1] (numeric) 0.6656819850462652 absolute error 1.7486012637846216e-13 relative error 2.6267817111853376e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.8799999999999613 y1[1] (analytic) 0.7395415287592845 y1[1] (numeric) 0.7395415287592876 absolute error 3.1086244689504383e-15 relative error 4.203448147348428e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.673110932343533 y2[1] (numeric) 0.6731109323437097 absolute error 1.766364832178624e-13 relative error 2.624180870200354e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.889999999999961 y1[1] (analytic) 0.7327735548521471 y1[1] (numeric) 0.7327735548521482 absolute error 1.1102230246251565e-15 relative error 1.5150970136322236e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.6804725691086654 y2[1] (numeric) 0.6804725691088438 absolute error 1.7841284005726266e-13 relative error 2.6218961374293358e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.899999999999961 y1[1] (analytic) 0.7259323042001671 y1[1] (numeric) 0.7259323042001663 absolute error 7.771561172376096e-16 relative error 1.0705627959261036e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.6877661591839453 y2[1] (numeric) 0.6877661591841255 absolute error 1.801891968966629e-13 relative error 2.6199194957551076e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.9099999999999606 y1[1] (analytic) 0.7190184609227086 y1[1] (numeric) 0.7190184609227058 absolute error 2.7755575615628914e-15 relative error 3.860203475166755e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.6949909732164435 y2[1] (numeric) 0.6949909732166255 absolute error 1.8196555373606316e-13 relative error 2.6182434124852002e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.9199999999999604 y1[1] (analytic) 0.7120327163983379 y1[1] (numeric) 0.7120327163983332 absolute error 4.6629367034256575e-15 relative error 6.548767487836943e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.7021462887307773 y2[1] (numeric) 0.702146288730961 absolute error 1.836308882730009e-13 relative error 2.6152796250612975e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.92999999999996 y1[1] (analytic) 0.704975769195686 y1[1] (numeric) 0.7049757691956793 absolute error 6.772360450213455e-15 relative error 9.60651521106904e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.709231390201358 y2[1] (numeric) 0.7092313902015434 absolute error 1.8540724511240114e-13 relative error 2.614199648717778e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.93999999999996 y1[1] (analytic) 0.6978483250035924 y1[1] (numeric) 0.6978483250035836 absolute error 8.770761894538737e-15 relative error 1.2568292536194863e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.7162455691239427 y2[1] (numeric) 0.7162455691241297 absolute error 1.8707257964933888e-13 relative error 2.6118497302280263e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.9499999999999598 y1[1] (analytic) 0.6906510965605368 y1[1] (numeric) 0.6906510965605259 absolute error 1.0880185641326534e-14 relative error 1.5753519679488217e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.7231881240864843 y2[1] (numeric) 0.7231881240866731 absolute error 1.8884893648873913e-13 relative error 2.611339016763986e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.9599999999999596 y1[1] (analytic) 0.6833848035833657 y1[1] (numeric) 0.6833848035833529 absolute error 1.2878587085651816e-14 relative error 1.884529333710998e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.730058360839272 y2[1] (numeric) 0.7300583608394625 absolute error 1.9051427102567686e-13 relative error 2.6095759085158955e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.9699999999999593 y1[1] (analytic) 0.6760501726953219 y1[1] (numeric) 0.6760501726953069 absolute error 1.4988010832439613e-14 relative error 2.2169968203224347e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.7368555923643557 y2[1] (numeric) 0.7368555923645479 absolute error 1.921796055626146e-13 relative error 2.6081040512424697e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.979999999999959 y1[1] (analytic) 0.6686479373533817 y1[1] (numeric) 0.6686479373533646 absolute error 1.709743457922741e-14 relative error 2.5570159756869756e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.7435791389442473 y2[1] (numeric) 0.7435791389444412 absolute error 1.9384494009955233e-13 relative error 2.606917407268557e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.989999999999959 y1[1] (analytic) 0.6611788377749109 y1[1] (numeric) 0.6611788377748917 absolute error 1.9206858326015208e-14 relative error 2.9049414815895716e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.7502283282298917 y2[1] (numeric) 0.7502283282300872 absolute error 1.9551027463649007e-13 relative error 2.606010294196463e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.9999999999999587 y1[1] (analytic) 0.6536436208636431 y1[1] (numeric) 0.6536436208636219 absolute error 2.120525977034049e-14 relative error 3.24416227642863e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.7568024953079012 y2[1] (numeric) 0.7568024953080985 absolute error 1.9728663147589032e-13 relative error 2.606844357663293e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.009999999999959 y1[1] (analytic) 0.6460430401349899 y1[1] (numeric) 0.6460430401349669 absolute error 2.298161660974074e-14 relative error 3.557288784496271e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.7633009827670469 y2[1] (numeric) 0.7633009827672456 absolute error 1.986188991054405e-13 relative error 2.6021045903206615e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.019999999999959 y1[1] (analytic) 0.6383778556406909 y1[1] (numeric) 0.6383778556406658 absolute error 2.5091040356528538e-14 relative error 3.930437143899138e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.7697231407639977 y2[1] (numeric) 0.769723140764198 absolute error 2.0028423364237824e-13 relative error 2.6020295225057647e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.0299999999999585 y1[1] (analytic) 0.6306488338928077 y1[1] (numeric) 0.6306488338927804 absolute error 2.731148640577885e-14 relative error 4.33069640947295e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.776068327088306 y2[1] (numeric) 0.7760683270885078 absolute error 2.0183854587685346e-13 relative error 2.600783189208635e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.039999999999958 y1[1] (analytic) 0.6228567477870741 y1[1] (numeric) 0.6228567477870446 absolute error 2.9531932455029164e-14 relative error 4.741368309800308e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.7823359072266267 y2[1] (numeric) 0.7823359072268302 absolute error 2.035038804137912e-13 relative error 2.6012340547580194e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.049999999999958 y1[1] (analytic) 0.6150023765256074 y1[1] (numeric) 0.6150023765255757 absolute error 3.175237850427948e-14 relative error 5.162968423579315e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.7885252544261693 y2[1] (numeric) 0.7885252544263743 absolute error 2.0505819264826641e-13 relative error 2.6005279031613603e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.059999999999958 y1[1] (analytic) 0.6070865055389884 y1[1] (numeric) 0.6070865055389544 absolute error 3.397282455352979e-14 relative error 5.596043437560479e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.7946357497573715 y2[1] (numeric) 0.794635749757578 absolute error 2.0650148258027912e-13 relative error 2.5986935856249966e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.069999999999958 y1[1] (analytic) 0.5991099264077191 y1[1] (numeric) 0.5991099264076829 absolute error 3.6193270602780103e-14 relative error 6.041173582249927e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.8006667821757921 y2[1] (numeric) 0.8006667821760002 absolute error 2.0805579481475434e-13 relative error 2.598531616977638e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.079999999999957 y1[1] (analytic) 0.5910734367830658 y1[1] (numeric) 0.5910734367830273 absolute error 3.852473895449293e-14 relative error 6.5177584640184364e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.8066177485832153 y2[1] (numeric) 0.8066177485834249 absolute error 2.0961010704922955e-13 relative error 2.598629988211882e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.089999999999957 y1[1] (analytic) 0.5829778403072937 y1[1] (numeric) 0.5829778403072529 absolute error 4.085620730620576e-14 relative error 7.0081921612440756e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.8124880538879594 y2[1] (numeric) 0.8124880538881706 absolute error 2.1116441928370477e-13 relative error 2.5989849115101445e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.099999999999957 y1[1] (analytic) 0.574823946533304 y1[1] (numeric) 0.574823946533261 absolute error 4.3076653355456074e-14 relative error 7.493886365598777e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.8182771110643858 y2[1] (numeric) 0.8182771110645984 absolute error 2.1260770921571748e-13 relative error 2.5982360540326602e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.109999999999957 y1[1] (analytic) 0.5666125708436796 y1[1] (numeric) 0.5666125708436341 absolute error 4.54081217071689e-14 relative error 8.013962987011872e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.8239843412116011 y2[1] (numeric) 0.8239843412118152 absolute error 2.1405099914773018e-13 relative error 2.5977556664849456e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.119999999999957 y1[1] (analytic) 0.5583445343691462 y1[1] (numeric) 0.5583445343690985 absolute error 4.773959005888173e-14 relative error 8.550202808525923e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.8296091736113466 y2[1] (numeric) 0.8296091736115622 absolute error 2.156053113822054e-13 relative error 2.5988781011625083e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.129999999999956 y1[1] (analytic) 0.5500206639064614 y1[1] (numeric) 0.5500206639064115 absolute error 4.9960036108132044e-14 relative error 9.083301662395076e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.8351510457850696 y2[1] (numeric) 0.8351510457852866 absolute error 2.170486013142181e-13 relative error 2.5989143210637454e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.139999999999956 y1[1] (analytic) 0.5416417918357351 y1[1] (numeric) 0.5416417918356828 absolute error 5.229150445984487e-14 relative error 9.65425955826234e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.8406094035501709 y2[1] (numeric) 0.8406094035503895 absolute error 2.1860291354869332e-13 relative error 2.6005290046180913e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.149999999999956 y1[1] (analytic) 0.533208756037192 y1[1] (numeric) 0.5332087560371372 absolute error 5.473399511402022e-14 relative error 1.0265021812620507e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.8459837010754229 y2[1] (numeric) 0.8459837010756428 absolute error 2.199351811782435e-13 relative error 2.599756719883134e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.159999999999956 y1[1] (analytic) 0.5247223998073841 y1[1] (numeric) 0.524722399807327 absolute error 5.706546346573305e-14 relative error 1.0875362570128647e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.8512734009355513 y2[1] (numeric) 0.8512734009357726 absolute error 2.2137847111025621e-13 relative error 2.6005566586123896e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.1699999999999555 y1[1] (analytic) 0.5161835717748627 y1[1] (numeric) 0.5161835717748033 absolute error 5.939693181744587e-14 relative error 1.150693959771201e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.8564779741649782 y2[1] (numeric) 0.856477974165201 absolute error 2.2282176104226892e-13 relative error 2.6016052690614564e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.179999999999955 y1[1] (analytic) 0.5075931258153156 y1[1] (numeric) 0.5075931258152536 absolute error 6.195044477408373e-14 relative error 1.2204744631751376e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.861596900310718 y2[1] (numeric) 0.8615969003109422 absolute error 2.241540286718191e-13 relative error 2.6016113636316744e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.189999999999955 y1[1] (analytic) 0.4989519209661796 y1[1] (numeric) 0.49895192096611524 absolute error 6.433742427702782e-14 relative error 1.2894513794524263e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.8666296674844217 y2[1] (numeric) 0.8666296674846472 absolute error 2.254862963013693e-13 relative error 2.6018760349607184e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.199999999999955 y1[1] (analytic) 0.4902608213407389 y1[1] (numeric) 0.4902608213406721 absolute error 6.677991493120317e-14 relative error 1.3621303605002955e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.871575772413566 y2[1] (numeric) 0.8715757724137928 absolute error 2.2681856393091948e-13 relative error 2.602396384915725e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.209999999999955 y1[1] (analytic) 0.4815206960417135 y1[1] (numeric) 0.4815206960416442 absolute error 6.927791673660977e-14 relative error 1.4387318614983958e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.8764347204917796 y2[1] (numeric) 0.8764347204920078 absolute error 2.2815083156046967e-13 relative error 2.6031697082065745e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.2199999999999545 y1[1] (analytic) 0.4727324190743498 y1[1] (numeric) 0.47273241907427804 absolute error 7.177591854201637e-14 relative error 1.5183202091906393e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.8812060258283039 y2[1] (numeric) 0.8812060258285334 absolute error 2.2948309919001986e-13 relative error 2.6041934855621702e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.229999999999954 y1[1] (analytic) 0.46389686925902107 y1[1] (numeric) 0.4638968692589468 absolute error 7.427392034742297e-14 relative error 1.6010869067959035e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.8858892112965813 y2[1] (numeric) 0.885889211296812 absolute error 2.3070434451710753e-13 relative error 2.604212147244126e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.239999999999954 y1[1] (analytic) 0.4550149301433458 y1[1] (numeric) 0.4550149301432691 absolute error 7.671641100159832e-14 relative error 1.6860196428594096e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.8904838085819675 y2[1] (numeric) 0.8904838085821994 absolute error 2.319255898441952e-13 relative error 2.604489689863315e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.249999999999954 y1[1] (analytic) 0.4460874899138341 y1[1] (numeric) 0.4460874899137549 absolute error 7.921441280700492e-14 relative error 1.7757595673060886e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.894989358228563 y2[1] (numeric) 0.8949893582287961 absolute error 2.3314683517128287e-13 relative error 2.6050235461206645e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.259999999999954 y1[1] (analytic) 0.43711544130706936 y1[1] (numeric) 0.43711544130698765 absolute error 8.171241461241152e-14 relative error 1.869355481199058e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.8994054096851575 y2[1] (numeric) 0.8994054096853918 absolute error 2.3436808049837055e-13 relative error 2.605811327957351e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.269999999999953 y1[1] (analytic) 0.4280996815204356 y1[1] (numeric) 0.4280996815203513 absolute error 8.426592756904938e-14 relative error 1.9683716481584653e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9037315213502856 y2[1] (numeric) 0.903731521350521 absolute error 2.354783035229957e-13 relative error 2.6056223331810125e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.279999999999953 y1[1] (analytic) 0.4190411121223983 y1[1] (numeric) 0.4190411121223115 absolute error 8.681944052568724e-14 relative error 2.0718597296087748e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9079672606163857 y2[1] (numeric) 0.9079672606166224 absolute error 2.3669954885008337e-13 relative error 2.6069172217663082e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.289999999999953 y1[1] (analytic) 0.4099406389623485 y1[1] (numeric) 0.40994063896225913 absolute error 8.93729534823251e-14 relative error 2.1801437815130514e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.912112203913061 y2[1] (numeric) 0.9121122039132988 absolute error 2.3780977187470853e-13 relative error 2.6072425174718486e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.299999999999953 y1[1] (analytic) 0.4007991720800186 y1[1] (numeric) 0.4007991720799266 absolute error 9.198197759019422e-14 relative error 2.294964261349079e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.916165936749436 y2[1] (numeric) 0.916165936749675 absolute error 2.389199948993337e-13 relative error 2.6078244706087164e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.3099999999999525 y1[1] (analytic) 0.3916176256144788 y1[1] (numeric) 0.3916176256143843 absolute error 9.453549054683208e-14 relative error 2.4139743556868377e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9201280537556052 y2[1] (numeric) 0.9201280537558452 absolute error 2.3991919562149633e-13 relative error 2.6074544150918928e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.319999999999952 y1[1] (analytic) 0.3823969177127246 y1[1] (numeric) 0.3823969177126274 absolute error 9.720002580593246e-14 relative error 2.5418621673868696e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9239981587231696 y2[1] (numeric) 0.9239981587234106 absolute error 2.410294186461215e-13 relative error 2.6085486899583104e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.329999999999952 y1[1] (analytic) 0.37313797043786207 y1[1] (numeric) 0.3731379704377623 absolute error 9.975353876257032e-14 relative error 2.6733687446901648e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9277758646448576 y2[1] (numeric) 0.9277758646450996 absolute error 2.4202861936828413e-13 relative error 2.6086970850543737e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.339999999999952 y1[1] (analytic) 0.3638417096769031 y1[1] (numeric) 0.3638417096768007 absolute error 1.0241807402167069e-13 relative error 2.814907452821159e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9314607937532251 y2[1] (numeric) 0.9314607937534681 absolute error 2.4302782009044677e-13 relative error 2.6091041267683557e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.349999999999952 y1[1] (analytic) 0.3545090650481768 y1[1] (numeric) 0.3545090650480718 absolute error 1.0502709812953981e-13 relative error 2.962606840963768e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9350525775584321 y2[1] (numeric) 0.9350525775586761 absolute error 2.440270208126094e-13 relative error 2.6097679068465003e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.3599999999999515 y1[1] (analytic) 0.34514096980836895 y1[1] (numeric) 0.34514096980826126 absolute error 1.0769163338864018e-13 relative error 3.120221671986184e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.938550856885091 y2[1] (numeric) 0.938550856885336 absolute error 2.4502622153477205e-13 relative error 2.610686674433149e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.369999999999951 y1[1] (analytic) 0.3357383607591968 y1[1] (numeric) 0.3357383607590864 absolute error 1.1035616864774056e-13 relative error 3.286969305449485e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9419552819081846 y2[1] (numeric) 0.9419552819084306 absolute error 2.460254222569347e-13 relative error 2.6118588321787826e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.379999999999951 y1[1] (analytic) 0.3263021781537297 y1[1] (numeric) 0.3263021781536167 absolute error 1.1302070390684094e-13 relative error 3.46368217786134e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9452655121880474 y2[1] (numeric) 0.9452655121882944 absolute error 2.469136006766348e-13 relative error 2.6121084234321964e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.389999999999951 y1[1] (analytic) 0.31683336560236486 y1[1] (numeric) 0.3168333656022491 absolute error 1.1574075031717257e-13 relative error 3.653048033534151e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9484812167044101 y2[1] (numeric) 0.948481216704658 absolute error 2.4791280139879746e-13 relative error 2.613787147627388e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.399999999999951 y1[1] (analytic) 0.30733286997846665 y1[1] (numeric) 0.30733286997834824 absolute error 1.1840528557627295e-13 relative error 3.8526723674096116e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9516020738895008 y2[1] (numeric) 0.9516020738897496 absolute error 2.488009798184976e-13 relative error 2.6145485244853316e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.40999999999995 y1[1] (analytic) 0.29780164132368053 y1[1] (numeric) 0.2978016413235594 absolute error 1.2112533198660458e-13 relative error 4.0673157961192525e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9546277716602015 y2[1] (numeric) 0.9546277716604512 absolute error 2.496891582381977e-13 relative error 2.615565623069619e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.41999999999995 y1[1] (analytic) 0.2882406327529292 y1[1] (numeric) 0.2882406327528054 absolute error 1.2378986724570495e-13 relative error 4.294670951260842e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9575580074492568 y2[1] (numeric) 0.9575580074495073 absolute error 2.504663143554353e-13 relative error 2.6156777177669637e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.42999999999995 y1[1] (analytic) 0.27865080035910234 y1[1] (numeric) 0.2786508003589758 absolute error 1.265099136560366e-13 relative error 4.540087934181455e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9603924882355295 y2[1] (numeric) 0.9603924882357807 absolute error 2.512434704726729e-13 relative error 2.6160499332337263e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.43999999999995 y1[1] (analytic) 0.2690331031174478 y1[1] (numeric) 0.26903310311731854 absolute error 1.2928547121759948e-13 relative error 4.805559974571576e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.963130930573303 y2[1] (numeric) 0.963130930573555 absolute error 2.5202062658991053e-13 relative error 2.6166808539716965e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.4499999999999496 y1[1] (analytic) 0.259388502789675 y1[1] (numeric) 0.259388502789543 absolute error 1.3200551762793111e-13 relative error 5.089104420906724e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9657730606206257 y2[1] (numeric) 0.9657730606208784 absolute error 2.5268676040468563e-13 relative error 2.616419640472306e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.459999999999949 y1[1] (analytic) 0.24971796382777964 y1[1] (numeric) 0.24971796382764488 absolute error 1.3475331961387838e-13 relative error 5.396220502054561e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9683186141666945 y2[1] (numeric) 0.968318614166948 absolute error 2.5346391652192324e-13 relative error 2.617567325606423e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.469999999999949 y1[1] (analytic) 0.24002245327759908 y1[1] (numeric) 0.24002245327746158 absolute error 1.3750112159982564e-13 relative error 5.728677451721489e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9707673366582761 y2[1] (numeric) 0.9707673366585303 absolute error 2.5424107263916085e-13 relative error 2.6189702005667846e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.479999999999949 y1[1] (analytic) 0.2303029406821088 y1[1] (numeric) 0.23030294068196855 absolute error 1.402489235857729e-13 relative error 6.089758262329832e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.973118983225162 y2[1] (numeric) 0.9731189832254169 absolute error 2.5490720645393594e-13 relative error 2.6194865257803222e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.489999999999949 y1[1] (analytic) 0.2205603979844688 y1[1] (numeric) 0.22056039798432578 absolute error 1.430244811473358e-13 relative error 6.484594807332871e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9753733187046552 y2[1] (numeric) 0.9753733187049107 absolute error 2.5557334026871104e-13 relative error 2.6202617538085343e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.4999999999999485 y1[1] (analytic) 0.21079579943083007 y1[1] (numeric) 0.21079579943068427 absolute error 1.4580003870889868e-13 relative error 6.916648201841474e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9775301176650862 y2[1] (numeric) 0.9775301176653425 absolute error 2.5623947408348613e-13 relative error 2.621294929465047e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.509999999999948 y1[1] (analytic) 0.20101012147291084 y1[1] (numeric) 0.20101012147276226 absolute error 1.4857559627046157e-13 relative error 7.39144850924755e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9795891644283565 y2[1] (numeric) 0.9795891644286133 absolute error 2.567945855957987e-13 relative error 2.6214518792238e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.519999999999948 y1[1] (analytic) 0.1912043426703522 y1[1] (numeric) 0.19120434267020084 absolute error 1.5135115383202447e-13 relative error 7.915675539491432e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9815502530915056 y2[1] (numeric) 0.9815502530917629 absolute error 2.573496971081113e-13 relative error 2.6218698054181004e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.529999999999948 y1[1] (analytic) 0.18137944359286293 y1[1] (numeric) 0.1813794435927088 absolute error 1.5412671139358736e-13 relative error 8.497474043395515e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9834131875473012 y2[1] (numeric) 0.9834131875475591 absolute error 2.5790480862042386e-13 relative error 2.6225477946218704e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.539999999999948 y1[1] (analytic) 0.17153640672216341 y1[1] (numeric) 0.17153640672200648 absolute error 1.5693002453076588e-13 relative error 9.148496667820761e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9851777815038505 y2[1] (numeric) 0.9851777815041088 absolute error 2.5834889783027393e-13 relative error 2.6223581436835743e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.549999999999947 y1[1] (analytic) 0.16167621635373822 y1[1] (numeric) 0.16167621635357848 absolute error 1.597333376679444e-13 relative error 9.879829035487637e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9868438585032281 y2[1] (numeric) 0.986843858503487 absolute error 2.589040093425865e-13 relative error 2.623555966951783e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.559999999999947 y1[1] (analytic) 0.15179985849840735 y1[1] (numeric) 0.15179985849824484 absolute error 1.625088952295073e-13 relative error 1.0705470797998952e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9884112519391225 y2[1] (numeric) 0.9884112519393818 absolute error 2.5934809855243657e-13 relative error 2.623888569091382e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.569999999999947 y1[1] (analytic) 0.14190832078372614 y1[1] (numeric) 0.1419083207835608 absolute error 1.6533996394230144e-13 relative error 1.1651181765041532e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9898798050734964 y2[1] (numeric) 0.9898798050737561 absolute error 2.596811654598241e-13 relative error 2.6233605749795388e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.579999999999947 y1[1] (analytic) 0.1320025923552231 y1[1] (numeric) 0.13200259235505493 absolute error 1.6817103265509559e-13 relative error 1.273997954544272e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9912493710522599 y2[1] (numeric) 0.99124937105252 absolute error 2.601252546696742e-13 relative error 2.6242160879611802e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.589999999999947 y1[1] (analytic) 0.1220836637774863 y1[1] (numeric) 0.12208366377731533 absolute error 1.709743457922741e-13 relative error 1.4004686663393192e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9925198129199566 y2[1] (numeric) 0.9925198129202171 absolute error 2.604583215770617e-13 relative error 2.6242128185915297e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.599999999999946 y1[1] (analytic) 0.11215252693510783 y1[1] (numeric) 0.11215252693493404 absolute error 1.7379153671726044e-13 relative error 1.5495998303971994e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9936910036334584 y2[1] (numeric) 0.9936910036337192 absolute error 2.6079138848444927e-13 relative error 2.6244716670560406e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.609999999999946 y1[1] (analytic) 0.10221017493349596 y1[1] (numeric) 0.10221017493331935 absolute error 1.7660872764224678e-13 relative error 1.727897714265326e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.99476282607467 y2[1] (numeric) 0.994762826074931 absolute error 2.610134330893743e-13 relative error 2.6238760260004108e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.619999999999946 y1[1] (analytic) 0.0922576019995656 y1[1] (numeric) 0.09225760199938618 absolute error 1.794259185672331e-13 relative error 1.9448361400947527e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9957351730622404 y2[1] (numeric) 0.9957351730625017 absolute error 2.6134649999676185e-13 relative error 2.624658715158452e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.629999999999946 y1[1] (analytic) 0.08229580338231637 y1[1] (numeric) 0.08229580338213412 absolute error 1.8225698728002726e-13 relative error 2.2146571245355925e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9966079473622811 y2[1] (numeric) 0.9966079473625427 absolute error 2.615685446016869e-13 relative error 2.6245881873005275e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.6399999999999455 y1[1] (analytic) 0.07232577525330852 y1[1] (numeric) 0.07232577525312343 absolute error 1.850880559928214e-13 relative error 2.5590884486835087e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9973810616980894 y2[1] (numeric) 0.9973810616983512 absolute error 2.617905892066119e-13 relative error 2.624780029018205e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.649999999999945 y1[1] (analytic) 0.062348514607046615 y1[1] (numeric) 0.062348514606858696 absolute error 1.8791912470561556e-13 relative error 3.0140112541570795e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.998054438758876 y2[1] (numeric) 0.998054438759138 absolute error 2.6201263381153694e-13 relative error 2.6252338914234078e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.659999999999945 y1[1] (analytic) 0.052365019161280925 y1[1] (numeric) 0.052365019161090175 absolute error 1.907501934184097e-13 relative error 3.642702637631264e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.998628011207496 y2[1] (numeric) 0.9986280112077582 absolute error 2.62234678416462e-13 relative error 2.625949557527228e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.669999999999945 y1[1] (analytic) 0.04237628725723648 y1[1] (numeric) 0.04237628725704289 absolute error 1.9358820102510776e-13 relative error 4.56831434641668e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9991017216871825 y2[1] (numeric) 0.9991017216874448 absolute error 2.623457007189245e-13 relative error 2.6258157205044294e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.679999999999945 y1[1] (analytic) 0.03238331775977977 y1[1] (numeric) 0.03238331775958334 absolute error 1.9642620863180582e-13 relative error 6.065660414689445e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9994755228272822 y2[1] (numeric) 0.9994755228275447 absolute error 2.62456723021387e-13 relative error 2.6259444781494837e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.689999999999944 y1[1] (analytic) 0.022387109957533083 y1[1] (numeric) 0.02238710995733382 absolute error 1.9926421623850388e-13 relative error 8.90084591608722e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9997493772479927 y2[1] (numeric) 0.9997493772482553 absolute error 2.625677453238495e-13 relative error 2.6263356727124852e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.699999999999944 y1[1] (analytic) 0.01238866346294651 y1[1] (numeric) 0.012388663462744405 absolute error 2.0210569329215389e-13 relative error 1.6313760874741303e-09% Correct digits 11 h 0.01 y2[1] (analytic) 0.9999232575641002 y2[1] (numeric) 0.9999232575643628 absolute error 2.6267876762631204e-13 relative error 2.626989277819383e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.709999999999944 y1[1] (analytic) 0.0023889781123374934 y1[1] (numeric) 0.002388978112132548 absolute error 2.0494543562232792e-13 relative error 8.578790846342215e-09% Correct digits 11 h 0.01 y2[1] (analytic) 0.9999971463877179 y2[1] (numeric) 0.9999971463879805 absolute error 2.6267876762631204e-13 relative error 2.626795172118086e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.719999999999944 y1[1] (analytic) -0.007610946134091949 y1[1] (numeric) -0.007610946134299735 absolute error 2.0778604531423994e-13 relative error 2.730094808889757e-09% Correct digits 11 h 0.01 y2[1] (analytic) 0.9999710363300249 y2[1] (numeric) 0.9999710363302876 absolute error 2.6267876762631204e-13 relative error 2.626863759878131e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.729999999999944 y1[1] (analytic) -0.017610109292250417 y1[1] (numeric) -0.01761010929246104 absolute error 2.106231855592e-13 relative error 1.1960356523845526e-09% Correct digits 11 h 0.01 y2[1] (analytic) 0.9998449300020054 y2[1] (numeric) 0.999844930002268 absolute error 2.6267876762631204e-13 relative error 2.6271950753981938e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.739999999999943 y1[1] (analytic) -0.0276075114541547 y1[1] (numeric) -0.027607511454368162 absolute error 2.1346119316589807e-13 relative error 7.73199690672496e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.999618840014187 y2[1] (numeric) 0.9996188400144496 absolute error 2.625677453238495e-13 relative error 2.6266786380309023e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.749999999999943 y1[1] (analytic) -0.03760215288791975 y1[1] (numeric) -0.03760215288813605 absolute error 2.1629920077259612e-13 relative error 5.752308954684492e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9992927889753801 y2[1] (numeric) 0.9992927889756426 absolute error 2.62456723021387e-13 relative error 2.6264246666934893e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.759999999999943 y1[1] (analytic) -0.047593034137731034 y1[1] (numeric) -0.04759303413795017 absolute error 2.1913720837929418e-13 relative error 4.604396680092424e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9988668094904168 y2[1] (numeric) 0.9988668094906792 absolute error 2.623457007189245e-13 relative error 2.6264332564294844e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.769999999999943 y1[1] (analytic) -0.05757915612378928 y1[1] (numeric) -0.057579156124011245 absolute error 2.2196827709208833e-13 relative error 3.855010945538683e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9983409441568909 y2[1] (numeric) 0.998340944157153 absolute error 2.6212365611399946e-13 relative error 2.625592565827955e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.7799999999999425 y1[1] (analytic) -0.0675595202422176 y1[1] (numeric) -0.06755952024244241 absolute error 2.2480628469878638e-13 relative error 3.327529323666009e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9977152455608972 y2[1] (numeric) 0.9977152455611592 absolute error 2.6201263381153694e-13 relative error 2.6261263920472443e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.789999999999942 y1[1] (analytic) -0.07753312846492112 y1[1] (numeric) -0.07753312846514876 absolute error 2.2763735341158053e-13 relative error 2.9360011380757344e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.996989776271774 y2[1] (numeric) 0.9969897762720358 absolute error 2.617905892066119e-13 relative error 2.6258101681400716e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.799999999999942 y1[1] (analytic) -0.08749898343938889 y1[1] (numeric) -0.08749898343961934 absolute error 2.3045454433656687e-13 relative error 2.633796820007677e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9961646088358458 y2[1] (numeric) 0.9961646088361072 absolute error 2.6145752229922437e-13 relative error 2.6246417507722257e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.809999999999942 y1[1] (analytic) -0.09745608858842827 y1[1] (numeric) -0.09745608858866156 absolute error 2.33285613049361e-13 relative error 2.3937510362698965e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9952398257691683 y2[1] (numeric) 0.9952398257694295 absolute error 2.6123547769429933e-13 relative error 2.6248495179782847e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.819999999999942 y1[1] (analytic) -0.10740344820982196 y1[1] (numeric) -0.10740344821005807 absolute error 2.3610280397434735e-13 relative error 2.1982795516313407e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9942155195492777 y2[1] (numeric) 0.9942155195495386 absolute error 2.609024107869118e-13 relative error 2.62420376323627e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.8299999999999415 y1[1] (analytic) -0.11734006757589724 y1[1] (numeric) -0.11734006757613617 absolute error 2.389338726871415e-13 relative error 2.036251364288636e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9930917926059423 y2[1] (numeric) 0.9930917926062028 absolute error 2.6056934387952424e-13 relative error 2.623819326869796e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.839999999999941 y1[1] (analytic) -0.127264953032998 y1[1] (numeric) -0.12726495303323973 absolute error 2.417233080365122e-13 relative error 1.89937058299025e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9918687573109201 y2[1] (numeric) 0.9918687573111802 absolute error 2.601252546696742e-13 relative error 2.6225773596791795e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.849999999999941 y1[1] (analytic) -0.13717711210084924 y1[1] (numeric) -0.13717711210109376 absolute error 2.4452662117369073e-13 relative error 1.7825613721472776e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9905465359667213 y2[1] (numeric) 0.9905465359669811 absolute error 2.5979218776228663e-13 relative error 2.6227156254576484e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.859999999999941 y1[1] (analytic) -0.14707555357180424 y1[1] (numeric) -0.1470755535720516 absolute error 2.473576898864849e-13 relative error 1.681840957788553e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9891252607943786 y2[1] (numeric) 0.9891252607946379 absolute error 2.5934809855243657e-13 relative error 2.6219944918215003e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.869999999999941 y1[1] (analytic) -0.15695928760996464 y1[1] (numeric) -0.1569592876102148 absolute error 2.501610030236634e-13 relative error 1.5937954792793147e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9876050739202247 y2[1] (numeric) 0.9876050739204836 absolute error 2.589040093425865e-13 relative error 2.6215338112317138e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.87999999999994 y1[1] (analytic) -0.16682732585016302 y1[1] (numeric) -0.16682732585041596 absolute error 2.529365605852263e-13 relative error 1.5161578554127445e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9859861273616802 y2[1] (numeric) 0.9859861273619387 absolute error 2.5845992013273644e-13 relative error 2.6213342455874935e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.88999999999994 y1[1] (analytic) -0.1766786814967987 y1[1] (numeric) -0.1766786814970544 absolute error 2.557121181467892e-13 relative error 1.447328653238917e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.984268583012052 y2[1] (numeric) 0.9842685830123099 absolute error 2.5790480862042386e-13 relative error 2.620268624557591e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.89999999999994 y1[1] (analytic) -0.18651236942251642 y1[1] (numeric) -0.1865123694227749 absolute error 2.5848767570835207e-13 relative error 1.385900980769732e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9824526126243437 y2[1] (numeric) 0.982452612624601 absolute error 2.573496971081113e-13 relative error 2.6194616798938984e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.90999999999994 y1[1] (analytic) -0.19632740626671835 y1[1] (numeric) -0.19632740626697961 absolute error 2.6126323326991496e-13 relative error 1.3307527371648704e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9805383977940807 y2[1] (numeric) 0.9805383977943375 absolute error 2.567945855957987e-13 relative error 2.6189141207882324e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.9199999999999395 y1[1] (analytic) -0.20612281053389925 y1[1] (numeric) -0.2061228105341633 absolute error 2.6403879083147785e-13 relative error 1.2809780254187523e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.978526129941151 y2[1] (numeric) 0.9785261299414071 absolute error 2.561284517810236e-13 relative error 2.61749220530705e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.929999999999939 y1[1] (analytic) -0.21589760269179517 y1[1] (numeric) -0.21589760269206199 absolute error 2.6681434839304075e-13 relative error 1.2358374760368776e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9764160102906628 y2[1] (numeric) 0.9764160102909183 absolute error 2.554623179662485e-13 relative error 2.616326599255594e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.939999999999939 y1[1] (analytic) -0.225650805269336 y1[1] (numeric) -0.22565080526960557 absolute error 2.69562150378988e-13 relative error 1.1945986634403523e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.974208249852823 y2[1] (numeric) 0.9742082498530776 absolute error 2.546851618490109e-13 relative error 2.6142784346928604e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.949999999999939 y1[1] (analytic) -0.23538144295439162 y1[1] (numeric) -0.23538144295466393 absolute error 2.7230995236493527e-13 relative error 1.1568879387730623e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9719030694018352 y2[1] (numeric) 0.9719030694020893 absolute error 2.540190280342358e-13 relative error 2.6136251240627697e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.959999999999939 y1[1] (analytic) -0.24508854269130234 y1[1] (numeric) -0.2450885426915774 absolute error 2.7505775435088253e-13 relative error 1.122279121375851e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9695006994538239 y2[1] (numeric) 0.9695006994540771 absolute error 2.532418719169982e-13 relative error 2.6120854998832294e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.9699999999999385 y1[1] (analytic) -0.25477113377818367 y1[1] (numeric) -0.2547711337784615 absolute error 2.778333119124454e-13 relative error 1.0905211583127813e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9670013802437817 y2[1] (numeric) 0.9670013802440341 absolute error 2.524647157997606e-13 relative error 2.610799952903005e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.979999999999938 y1[1] (analytic) -0.2644282479639958 y1[1] (numeric) -0.26442824796427633 absolute error 2.8055335832277706e-13 relative error 1.0609810429972551e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9644053617015469 y2[1] (numeric) 0.9644053617017986 absolute error 2.51687559682523e-13 relative error 2.6097693944635324e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.989999999999938 y1[1] (analytic) -0.27405891954536765 y1[1] (numeric) -0.2740589195456509 absolute error 2.832734047331087e-13 relative error 1.0336222780233784e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9617129034268105 y2[1] (numeric) 0.9617129034270613 absolute error 2.5079938126282286e-13 relative error 2.607840451855906e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.999999999999938 y1[1] (analytic) -0.2836621854631666 y1[1] (numeric) -0.2836621854634526 absolute error 2.859934511434403e-13 relative error 1.0082184577280443e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9589242746631561 y2[1] (numeric) 0.958924274663406 absolute error 2.4991120284312274e-13 relative error 2.6061620239086106e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 Finished! diff ( y1 , x , 1 ) = m1 * y2 ; diff ( y2 , x , 2 ) = diff ( y1 , x , 1 ) ; Iterations 451 Total Elapsed Time 8 Seconds Elapsed Time(since restart) 7 Seconds Time to Timeout 29 Minutes 52.0 Seconds Percent Done 100.44444444444305%