##############ECHO OF PROBLEM################# ##############temp/diff_Bpostode.ode################# diff ( y , x , 2 ) = diff ( y , x , 1 ) ; ! // BEGIN FIRST INPUT BLOCK Digits=32; max_terms=30; ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK x_start=c(1.0); x_end=c(5.0); array_y_init[0 + 1] = exact_soln_y(x_start); array_y_init[1 + 1] = exact_soln_yp(x_start); glob_look_poles=true; glob_type_given_pole=3; // END SECOND INPUT BLOCK // BEGIN OVERRIDE BLOCK glob_desired_digits_correct=8; glob_max_minutes=(3.0); glob_subiter_method=3; glob_max_iter=100000; glob_upper_ratio_limit=c(1.000001); glob_lower_ratio_limit=c(0.999999); glob_look_poles=true; glob_h=c(0.001); glob_display_interval=c(0.01); // END OVERRIDE BLOCK ! // BEGIN USER DEF BLOCK double exact_soln_y (double x) { return(c(1.0) + exp(c(x))); } double exact_soln_yp (double x) { return(exp(c(x))); } double exact_soln_ypp (double x) { return(exp(c(x))); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] = 1 y[1] (closed_form) = 3.718281828459045 y[1] (numeric) = 3.718281828459045 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.009999999999999 y[1] (closed_form) = 3.745601015016914 y[1] (numeric) = 3.745601015016916 absolute error = 2.664535259100376e-15 relative error = 7.113772258224208e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.019999999999998 y[1] (closed_form) = 3.773194763964292 y[1] (numeric) = 3.773194763964298 absolute error = 6.217248937900877e-15 relative error = 1.647741324481419e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.029999999999997 y[1] (closed_form) = 3.80106583469907 y[1] (numeric) = 3.801065834699079 absolute error = 9.325873406851315e-15 relative error = 2.453489050812413e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.039999999999996 y[1] (closed_form) = 3.829217014351547 y[1] (numeric) = 3.829217014351559 absolute error = 1.243449787580175e-14 relative error = 3.247269044611058e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.049999999999994 y[1] (closed_form) = 3.857651118063148 y[1] (numeric) = 3.857651118063164 absolute error = 1.598721155460225e-14 relative error = 4.144286527038019e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.059999999999993 y[1] (closed_form) = 3.886370989267939 y[1] (numeric) = 3.886370989267958 absolute error = 1.865174681370263e-14 relative error = 4.799270801786216e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.069999999999992 y[1] (closed_form) = 3.915379499976974 y[1] (numeric) = 3.915379499976996 absolute error = 2.131628207280301e-14 relative error = 5.444244184485403e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.079999999999991 y[1] (closed_form) = 3.944679551065498 y[1] (numeric) = 3.944679551065523 absolute error = 2.486899575160351e-14 relative error = 6.304440051381648e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.08999999999999 y[1] (closed_form) = 3.974274072563036 y[1] (numeric) = 3.974274072563064 absolute error = 2.797762022055394e-14 relative error = 7.039680633427223e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.099999999999989 y[1] (closed_form) = 4.0041660239464 y[1] (numeric) = 4.004166023946432 absolute error = 3.197442310920451e-14 relative error = 7.985289050949831e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.109999999999988 y[1] (closed_form) = 4.034358394435639 y[1] (numeric) = 4.034358394435674 absolute error = 3.463895836830488e-14 relative error = 8.585989389559547e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.119999999999987 y[1] (closed_form) = 4.064854203292962 y[1] (numeric) = 4.064854203293001 absolute error = 3.907985046680551e-14 relative error = 9.614084174322095e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.129999999999986 y[1] (closed_form) = 4.095656500124667 y[1] (numeric) = 4.09565650012471 absolute error = 4.263256414560601e-14 relative error = 1.040921379620296e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.139999999999985 y[1] (closed_form) = 4.126768365186107 y[1] (numeric) = 4.126768365186154 absolute error = 4.618527782440651e-14 relative error = 1.11916331951245e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.149999999999983 y[1] (closed_form) = 4.158192909689715 y[1] (numeric) = 4.158192909689767 absolute error = 5.151434834260726e-14 relative error = 1.238863839687786e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.159999999999982 y[1] (closed_form) = 4.189933276116129 y[1] (numeric) = 4.189933276116183 absolute error = 5.417888360170764e-14 relative error = 1.293072706206169e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.169999999999981 y[1] (closed_form) = 4.221992638528439 y[1] (numeric) = 4.221992638528499 absolute error = 5.950795411990839e-14 relative error = 1.409475553719811e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.17999999999998 y[1] (closed_form) = 4.254374202889606 y[1] (numeric) = 4.25437420288967 absolute error = 6.394884621840902e-14 relative error = 1.503131675041054e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.189999999999979 y[1] (closed_form) = 4.28708120738305 y[1] (numeric) = 4.287081207383117 absolute error = 6.661338147750939e-14 relative error = 1.553816647158219e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.199999999999978 y[1] (closed_form) = 4.320116922736474 y[1] (numeric) = 4.320116922736547 absolute error = 7.283063041541027e-14 relative error = 1.685848594331041e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.209999999999977 y[1] (closed_form) = 4.353484652548946 y[1] (numeric) = 4.353484652549023 absolute error = 7.638334409421077e-14 relative error = 1.754533441377556e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.219999999999976 y[1] (closed_form) = 4.387187733621253 y[1] (numeric) = 4.387187733621334 absolute error = 8.171241461241152e-14 relative error = 1.862523775452044e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.229999999999975 y[1] (closed_form) = 4.421229536289587 y[1] (numeric) = 4.421229536289673 absolute error = 8.526512829121202e-14 relative error = 1.928538828200464e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.239999999999974 y[1] (closed_form) = 4.455613464762584 y[1] (numeric) = 4.455613464762674 absolute error = 8.970602038971265e-14 relative error = 2.013325911216416e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.249999999999972 y[1] (closed_form) = 4.490342957461745 y[1] (numeric) = 4.49034295746184 absolute error = 9.414691248821327e-14 relative error = 2.096653048109975e-12 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.259999999999971 y[1] (closed_form) = 4.525421487365281 y[1] (numeric) = 4.52542148736538 absolute error = 9.85878045867139e-14 relative error = 2.178533090496994e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.26999999999997 y[1] (closed_form) = 4.560852562355414 y[1] (numeric) = 4.560852562355517 absolute error = 1.021405182655144e-13 relative error = 2.239504936172828e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.279999999999969 y[1] (closed_form) = 4.596639725569171 y[1] (numeric) = 4.596639725569277 absolute error = 1.06581410364015e-13 relative error = 2.318680965383202e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.289999999999968 y[1] (closed_form) = 4.632786555752693 y[1] (numeric) = 4.632786555752806 absolute error = 1.127986593019159e-13 relative error = 2.434790766733034e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.299999999999967 y[1] (closed_form) = 4.669296667619123 y[1] (numeric) = 4.669296667619241 absolute error = 1.181277298201167e-13 relative error = 2.529882726007e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.309999999999966 y[1] (closed_form) = 4.706173712210072 y[1] (numeric) = 4.706173712210194 absolute error = 1.216804434989172e-13 relative error = 2.585549343051654e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.319999999999965 y[1] (closed_form) = 4.743421377260731 y[1] (numeric) = 4.743421377260857 absolute error = 1.261213355974178e-13 relative error = 2.65886847417826e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.329999999999964 y[1] (closed_form) = 4.781043387568643 y[1] (numeric) = 4.781043387568775 absolute error = 1.314504061156185e-13 relative error = 2.749408350014294e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.339999999999963 y[1] (closed_form) = 4.819043505366192 y[1] (numeric) = 4.819043505366329 absolute error = 1.367794766338193e-13 relative error = 2.8383117206041e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.349999999999961 y[1] (closed_form) = 4.857425530696826 y[1] (numeric) = 4.857425530696966 absolute error = 1.403321903126198e-13 relative error = 2.889024019530122e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.35999999999996 y[1] (closed_form) = 4.89619330179506 y[1] (numeric) = 4.896193301795207 absolute error = 1.465494392505207e-13 relative error = 2.993130177209143e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.369999999999959 y[1] (closed_form) = 4.935350695470312 y[1] (numeric) = 4.935350695470464 absolute error = 1.518785097687214e-13 relative error = 3.077360032552828e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.379999999999958 y[1] (closed_form) = 4.974901627494582 y[1] (numeric) = 4.974901627494737 absolute error = 1.554312234475219e-13 relative error = 3.124307475518845e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.389999999999957 y[1] (closed_form) = 5.01485005299403 y[1] (numeric) = 5.014850052994191 absolute error = 1.616484723854228e-13 relative error = 3.223395927639219e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.399999999999956 y[1] (closed_form) = 5.055199966844496 y[1] (numeric) = 5.055199966844664 absolute error = 1.678657213233237e-13 relative error = 3.320654423648983e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.409999999999955 y[1] (closed_form) = 5.095955404070992 y[1] (numeric) = 5.095955404071165 absolute error = 1.731947918415244e-13 relative error = 3.398671654449032e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.419999999999954 y[1] (closed_form) = 5.137120440251201 y[1] (numeric) = 5.137120440251379 absolute error = 1.77635683940025e-13 relative error = 3.457884353813959e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.429999999999953 y[1] (closed_form) = 5.178699191923048 y[1] (numeric) = 5.178699191923232 absolute error = 1.838529328779259e-13 relative error = 3.550175943114671e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.439999999999952 y[1] (closed_form) = 5.220695816996348 y[1] (numeric) = 5.220695816996537 absolute error = 1.891820033961267e-13 relative error = 3.623693278206923e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.44999999999995 y[1] (closed_form) = 5.263114515168606 y[1] (numeric) = 5.263114515168803 absolute error = 1.962874307537277e-13 relative error = 3.729491923233206e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.459999999999949 y[1] (closed_form) = 5.305959528344988 y[1] (numeric) = 5.30595952834519 absolute error = 2.025046796916286e-13 relative error = 3.816551532476407e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.469999999999948 y[1] (closed_form) = 5.349235141062516 y[1] (numeric) = 5.349235141062724 absolute error = 2.087219286295294e-13 relative error = 3.901902293045789e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.479999999999947 y[1] (closed_form) = 5.392945680918524 y[1] (numeric) = 5.39294568091874 absolute error = 2.158273559871304e-13 relative error = 4.00203096335231e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.489999999999946 y[1] (closed_form) = 5.437095519003425 y[1] (numeric) = 5.437095519003647 absolute error = 2.220446049250313e-13 relative error = 4.083882730199492e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.499999999999945 y[1] (closed_form) = 5.481689070337818 y[1] (numeric) = 5.481689070338049 absolute error = 2.309263891220326e-13 relative error = 4.212686749629916e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.509999999999944 y[1] (closed_form) = 5.526730794313998 y[1] (numeric) = 5.526730794314236 absolute error = 2.380318164796336e-13 relative error = 4.306918960563903e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.519999999999943 y[1] (closed_form) = 5.572225195141898 y[1] (numeric) = 5.572225195142144 absolute error = 2.460254222569347e-13 relative error = 4.415209609106073e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.529999999999942 y[1] (closed_form) = 5.618176822299511 y[1] (numeric) = 5.618176822299764 absolute error = 2.531308496145357e-13 relative error = 4.505569290909744e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.539999999999941 y[1] (closed_form) = 5.664590270987849 y[1] (numeric) = 5.664590270988111 absolute error = 2.620126338115369e-13 relative error = 4.625447230552203e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.549999999999939 y[1] (closed_form) = 5.711470182590456 y[1] (numeric) = 5.711470182590726 absolute error = 2.700062395888381e-13 relative error = 4.727438487061765e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.559999999999938 y[1] (closed_form) = 5.75882124513756 y[1] (numeric) = 5.758821245137839 absolute error = 2.788880237858393e-13 relative error = 4.842797022417e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.569999999999937 y[1] (closed_form) = 5.806648193774876 y[1] (numeric) = 5.806648193775164 absolute error = 2.877698079828406e-13 relative error = 4.955867798075824e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.579999999999936 y[1] (closed_form) = 5.854955811237123 y[1] (numeric) = 5.85495581123742 absolute error = 2.966515921798418e-13 relative error = 5.066675167906362e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.589999999999935 y[1] (closed_form) = 5.903748928326303 y[1] (numeric) = 5.903748928326608 absolute error = 3.04645197957143e-13 relative error = 5.160199081221922e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.599999999999934 y[1] (closed_form) = 5.953032424394787 y[1] (numeric) = 5.953032424395099 absolute error = 3.11750625314744e-13 relative error = 5.236837347588241e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.609999999999933 y[1] (closed_form) = 6.002811227833251 y[1] (numeric) = 6.002811227833572 absolute error = 3.206324095117452e-13 relative error = 5.341370856792364e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.619999999999932 y[1] (closed_form) = 6.053090316563522 y[1] (numeric) = 6.053090316563853 absolute error = 3.304023721284466e-13 relative error = 5.458408099815427e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.629999999999931 y[1] (closed_form) = 6.103874718536372 y[1] (numeric) = 6.10387471853671 absolute error = 3.383959779057477e-13 relative error = 5.543953529683365e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.63999999999993 y[1] (closed_form) = 6.155169512234318 y[1] (numeric) = 6.155169512234666 absolute error = 3.481659405224491e-13 relative error = 5.656480131544993e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.649999999999928 y[1] (closed_form) = 6.206979827179476 y[1] (numeric) = 6.206979827179834 absolute error = 3.579359031391505e-13 relative error = 5.766667737049836e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.659999999999927 y[1] (closed_form) = 6.259310844446516 y[1] (numeric) = 6.259310844446883 absolute error = 3.668176873361517e-13 relative error = 5.86035262430856e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.669999999999926 y[1] (closed_form) = 6.312167797180775 y[1] (numeric) = 6.312167797181153 absolute error = 3.774758283725532e-13 relative error = 5.980129814374493e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.679999999999925 y[1] (closed_form) = 6.365555971121573 y[1] (numeric) = 6.365555971121959 absolute error = 3.863576125695545e-13 relative error = 6.069503030408207e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.689999999999924 y[1] (closed_form) = 6.419480705130795 y[1] (numeric) = 6.41948070513119 absolute error = 3.952393967665557e-13 relative error = 6.156874908131729e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.699999999999923 y[1] (closed_form) = 6.473947391726778 y[1] (numeric) = 6.473947391727185 absolute error = 4.067857162226574e-13 relative error = 6.283426348853239e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.709999999999922 y[1] (closed_form) = 6.528961477623572 y[1] (numeric) = 6.528961477623987 absolute error = 4.156675004196586e-13 relative error = 6.366517888706465e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.719999999999921 y[1] (closed_form) = 6.584528464275611 y[1] (numeric) = 6.584528464276036 absolute error = 4.245492846166599e-13 relative error = 6.44767938843387e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.72999999999992 y[1] (closed_form) = 6.640653908427868 y[1] (numeric) = 6.640653908428304 absolute error = 4.369837824924616e-13 relative error = 6.580433019372858e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.739999999999919 y[1] (closed_form) = 6.697343422671526 y[1] (numeric) = 6.697343422671975 absolute error = 4.485301019485632e-13 relative error = 6.697134574736315e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.749999999999917 y[1] (closed_form) = 6.754602676005256 y[1] (numeric) = 6.754602676005716 absolute error = 4.600764214046649e-13 relative error = 6.811302506941222e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.759999999999916 y[1] (closed_form) = 6.812437394402102 y[1] (numeric) = 6.812437394402575 absolute error = 4.725109192804666e-13 relative error = 6.936003840104821e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.769999999999915 y[1] (closed_form) = 6.870853361382103 y[1] (numeric) = 6.870853361382587 absolute error = 4.840572387365683e-13 relative error = 7.045081786452184e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.779999999999914 y[1] (closed_form) = 6.929856418590637 y[1] (numeric) = 6.929856418591132 absolute error = 4.956035581926699e-13 relative error = 7.151714671362029e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.789999999999913 y[1] (closed_form) = 6.989452466382592 y[1] (numeric) = 6.9894524663831 absolute error = 5.080380560684716e-13 relative error = 7.268638831324766e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.799999999999912 y[1] (closed_form) = 7.049647464412413 y[1] (numeric) = 7.049647464412932 absolute error = 5.195843755245733e-13 relative error = 7.370359697382124e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.809999999999911 y[1] (closed_form) = 7.110447432230065 y[1] (numeric) = 7.110447432230597 absolute error = 5.32018873400375e-13 relative error = 7.482213721022008e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.81999999999991 y[1] (closed_form) = 7.171858449882996 y[1] (numeric) = 7.17185844988354 absolute error = 5.444533712761768e-13 relative error = 7.591524220407042e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.829999999999909 y[1] (closed_form) = 7.233886658524147 y[1] (numeric) = 7.233886658524704 absolute error = 5.568878691519785e-13 relative error = 7.698321738228539e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.839999999999907 y[1] (closed_form) = 7.296538261026075 y[1] (numeric) = 7.296538261026643 absolute error = 5.684341886080801e-13 relative error = 7.790464029282623e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.849999999999906 y[1] (closed_form) = 7.359819522601236 y[1] (numeric) = 7.359819522601817 absolute error = 5.808686864838819e-13 relative error = 7.892431121443875e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.859999999999905 y[1] (closed_form) = 7.423736771428525 y[1] (numeric) = 7.42373677142912 absolute error = 5.941913627793838e-13 relative error = 8.003939000992427e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.869999999999904 y[1] (closed_form) = 7.48829639928609 y[1] (numeric) = 7.488296399286696 absolute error = 6.066258606551855e-13 relative error = 8.100986236509273e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.879999999999903 y[1] (closed_form) = 7.553504862190513 y[1] (numeric) = 7.553504862191133 absolute error = 6.199485369506874e-13 relative error = 8.207428846095991e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.889999999999902 y[1] (closed_form) = 7.619368681042428 y[1] (numeric) = 7.619368681043063 absolute error = 6.341593916658894e-13 relative error = 8.322991289865346e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.899999999999901 y[1] (closed_form) = 7.685894442278607 y[1] (numeric) = 7.685894442279253 absolute error = 6.45705711121991e-13 relative error = 8.401178496156411e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.9099999999999 y[1] (closed_form) = 7.75308879853061 y[1] (numeric) = 7.75308879853127 absolute error = 6.608047442568932e-13 relative error = 8.523115901653687e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.919999999999899 y[1] (closed_form) = 7.820958469290058 y[1] (numeric) = 7.820958469290734 absolute error = 6.759037773917953e-13 relative error = 8.642211565830625e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.929999999999898 y[1] (closed_form) = 7.889510241580587 y[1] (numeric) = 7.889510241581277 absolute error = 6.901146321069973e-13 relative error = 8.74724299703475e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.939999999999896 y[1] (closed_form) = 7.958750970636552 y[1] (numeric) = 7.958750970637257 absolute error = 7.052136652418994e-13 relative error = 8.86085854229832e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.949999999999895 y[1] (closed_form) = 8.028687580588558 y[1] (numeric) = 8.028687580589276 absolute error = 7.176481631177012e-13 relative error = 8.938548871334866e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.959999999999894 y[1] (closed_form) = 8.099327065155883 y[1] (numeric) = 8.099327065156615 absolute error = 7.318590178329032e-13 relative error = 9.036047216582153e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.969999999999893 y[1] (closed_form) = 8.170676488345848 y[1] (numeric) = 8.170676488346595 absolute error = 7.478462293875054e-13 relative error = 9.152806752955982e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.979999999999892 y[1] (closed_form) = 8.242742985160231 y[1] (numeric) = 8.242742985160993 absolute error = 7.620570841027074e-13 relative error = 9.245187985051481e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.989999999999891 y[1] (closed_form) = 8.315533762308769 y[1] (numeric) = 8.315533762309549 absolute error = 7.7982065249671e-13 relative error = 9.377878495681754e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.99999999999989 y[1] (closed_form) = 8.389056098929837 y[1] (numeric) = 8.389056098930634 absolute error = 7.975842208907125e-13 relative error = 9.507436968891619e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.009999999999889 y[1] (closed_form) = 8.463317347318364 y[1] (numeric) = 8.463317347319178 absolute error = 8.135714324453147e-13 relative error = 9.612914168970612e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.019999999999888 y[1] (closed_form) = 8.538324933661075 y[1] (numeric) = 8.538324933661904 absolute error = 8.29558643999917e-13 relative error = 9.715707125756078e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.029999999999887 y[1] (closed_form) = 8.614086358779112 y[1] (numeric) = 8.614086358779955 absolute error = 8.43769498715119e-13 relative error = 9.795229158054409e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.039999999999885 y[1] (closed_form) = 8.690609198878118 y[1] (numeric) = 8.690609198878979 absolute error = 8.615330671091215e-13 relative error = 9.9133794581436e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.049999999999884 y[1] (closed_form) = 8.767901106305874 y[1] (numeric) = 8.767901106306752 absolute error = 8.775202786637237e-13 relative error = 1.000832774029136e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.059999999999883 y[1] (closed_form) = 8.845969810317532 y[1] (numeric) = 8.845969810318429 absolute error = 8.970602038971265e-13 relative error = 1.014089153741896e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.069999999999882 y[1] (closed_form) = 8.924823117848554 y[1] (numeric) = 8.924823117849471 absolute error = 9.166001291305292e-13 relative error = 1.027023300100414e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.079999999999881 y[1] (closed_form) = 9.004468914295401 y[1] (numeric) = 9.004468914296337 absolute error = 9.36140054363932e-13 relative error = 1.039639387146671e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.08999999999988 y[1] (closed_form) = 9.084915164304089 y[1] (numeric) = 9.084915164305045 absolute error = 9.556799795973347e-13 relative error = 1.051941556209942e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.099999999999879 y[1] (closed_form) = 9.16616991256666 y[1] (numeric) = 9.166169912567634 absolute error = 9.734435479913373e-13 relative error = 1.061995966992455e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.109999999999878 y[1] (closed_form) = 9.248241284625653 y[1] (numeric) = 9.248241284626648 absolute error = 9.947598300641403e-13 relative error = 1.075620541732444e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.119999999999877 y[1] (closed_form) = 9.331137487686664 y[1] (numeric) = 9.331137487687677 absolute error = 1.012523398458143e-12 relative error = 1.085101789352332e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.129999999999876 y[1] (closed_form) = 9.414866811439081 y[1] (numeric) = 9.414866811440117 absolute error = 1.035616037370346e-12 relative error = 1.099979487879819e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.139999999999874 y[1] (closed_form) = 9.499437628885056 y[1] (numeric) = 9.49943762888611 absolute error = 1.053379605764349e-12 relative error = 1.108886280342874e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.149999999999873 y[1] (closed_form) = 9.584858397176806 y[1] (numeric) = 9.58485839717788 absolute error = 1.074695887837152e-12 relative error = 1.121243364590238e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.159999999999872 y[1] (closed_form) = 9.671137658462348 y[1] (numeric) = 9.671137658463444 absolute error = 1.096012169909955e-12 relative error = 1.13328153172438e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.169999999999871 y[1] (closed_form) = 9.758284040739706 y[1] (numeric) = 9.758284040740822 absolute error = 1.115552095143357e-12 relative error = 1.143184693626519e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.17999999999987 y[1] (closed_form) = 9.846306258719732 y[1] (numeric) = 9.846306258720869 absolute error = 1.13686837721616e-12 relative error = 1.154614072875671e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.189999999999869 y[1] (closed_form) = 9.935213114697579 y[1] (numeric) = 9.935213114698739 absolute error = 1.159961016128364e-12 relative error = 1.167525047260823e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.199999999999868 y[1] (closed_form) = 10.02501349943293 y[1] (numeric) = 10.02501349943411 absolute error = 1.179500941361766e-12 relative error = 1.176557958179793e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.209999999999867 y[1] (closed_form) = 10.11571639303909 y[1] (numeric) = 10.11571639304029 absolute error = 1.200817223434569e-12 relative error = 1.187080753134682e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.219999999999866 y[1] (closed_form) = 10.20733086588101 y[1] (numeric) = 10.20733086588224 absolute error = 1.223909862346773e-12 relative error = 1.199049857821117e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.229999999999865 y[1] (closed_form) = 10.29986607948233 y[1] (numeric) = 10.29986607948357 absolute error = 1.247002501258976e-12 relative error = 1.210697781540137e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.239999999999863 y[1] (closed_form) = 10.3933312874415 y[1] (numeric) = 10.39333128744277 absolute error = 1.270095140171179e-12 relative error = 1.222028919357034e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.249999999999862 y[1] (closed_form) = 10.48773583635722 y[1] (numeric) = 10.48773583635851 absolute error = 1.293187779083382e-12 relative error = 1.233047627496837e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.259999999999861 y[1] (closed_form) = 10.58308916676305 y[1] (numeric) = 10.58308916676437 absolute error = 1.318056774834986e-12 relative error = 1.245436709514305e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.26999999999986 y[1] (closed_form) = 10.67940081407149 y[1] (numeric) = 10.67940081407283 absolute error = 1.342925770586589e-12 relative error = 1.257491683257277e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.279999999999859 y[1] (closed_form) = 10.77668040952753 y[1] (numeric) = 10.7766804095289 absolute error = 1.367794766338193e-12 relative error = 1.269217156267289e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.289999999999858 y[1] (closed_form) = 10.87493768117178 y[1] (numeric) = 10.87493768117317 absolute error = 1.392663762089796e-12 relative error = 1.280617694482031e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.299999999999857 y[1] (closed_form) = 10.97418245481329 y[1] (numeric) = 10.97418245481471 absolute error = 1.415756401002e-12 relative error = 1.29007915335055e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.309999999999856 y[1] (closed_form) = 11.07442465501213 y[1] (numeric) = 11.07442465501358 absolute error = 1.444178110432404e-12 relative error = 1.304066039926317e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.319999999999855 y[1] (closed_form) = 11.17567430607185 y[1] (numeric) = 11.17567430607333 absolute error = 1.472599819862808e-12 relative error = 1.317683192559333e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.329999999999854 y[1] (closed_form) = 11.27794153304194 y[1] (numeric) = 11.27794153304344 absolute error = 1.499245172453811e-12 relative error = 1.329360653326093e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.339999999999852 y[1] (closed_form) = 11.38123656273031 y[1] (numeric) = 11.38123656273184 absolute error = 1.522337811366015e-12 relative error = 1.337585597993064e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.349999999999851 y[1] (closed_form) = 11.48556972472602 y[1] (numeric) = 11.48556972472757 absolute error = 1.550759520796419e-12 relative error = 1.350180755472634e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.35999999999985 y[1] (closed_form) = 11.59095145243219 y[1] (numeric) = 11.59095145243377 absolute error = 1.577404873387422e-12 relative error = 1.36089334845452e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.369999999999849 y[1] (closed_form) = 11.69739228410944 y[1] (numeric) = 11.69739228411105 absolute error = 1.607602939657227e-12 relative error = 1.374325918641805e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.379999999999848 y[1] (closed_form) = 11.80490286392962 y[1] (numeric) = 11.80490286393125 absolute error = 1.637801005927031e-12 relative error = 1.387390497664663e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.389999999999847 y[1] (closed_form) = 11.9134939430403 y[1] (numeric) = 11.91349394304197 absolute error = 1.666222715357435e-12 relative error = 1.398601219192141e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.399999999999846 y[1] (closed_form) = 12.0231763806399 y[1] (numeric) = 12.0231763806416 absolute error = 1.696420781627239e-12 relative error = 1.410958907962849e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.409999999999845 y[1] (closed_form) = 12.13396114506358 y[1] (numeric) = 12.1339611450653 absolute error = 1.721289777378843e-12 relative error = 1.41857202013467e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.419999999999844 y[1] (closed_form) = 12.24585931488009 y[1] (numeric) = 12.24585931488184 absolute error = 1.749711486809247e-12 relative error = 1.428818869969502e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.429999999999843 y[1] (closed_form) = 12.35888207999967 y[1] (numeric) = 12.35888208000145 absolute error = 1.783462266757851e-12 relative error = 1.443061156513518e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.439999999999841 y[1] (closed_form) = 12.47304074279301 y[1] (numeric) = 12.47304074279482 absolute error = 1.810107619348855e-12 relative error = 1.451215991894153e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.44999999999984 y[1] (closed_form) = 12.58834671922154 y[1] (numeric) = 12.58834671922338 absolute error = 1.84208204245806e-12 relative error = 1.463323249307494e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.459999999999839 y[1] (closed_form) = 12.70481153997897 y[1] (numeric) = 12.70481153998085 absolute error = 1.872280108727864e-12 relative error = 1.473677986356784e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.469999999999838 y[1] (closed_form) = 12.82244685164445 y[1] (numeric) = 12.82244685164635 absolute error = 1.906030888676469e-12 relative error = 1.486479851099578e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.479999999999837 y[1] (closed_form) = 12.94126441784716 y[1] (numeric) = 12.9412644178491 absolute error = 1.939781668625074e-12 relative error = 1.498912011990066e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.489999999999836 y[1] (closed_form) = 13.06127612044274 y[1] (numeric) = 13.06127612044471 absolute error = 1.973532448573678e-12 relative error = 1.510979808079259e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.499999999999835 y[1] (closed_form) = 13.18249396070146 y[1] (numeric) = 13.18249396070347 absolute error = 2.007283228522283e-12 relative error = 1.522688525028896e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.509999999999834 y[1] (closed_form) = 13.30493006050837 y[1] (numeric) = 13.30493006051041 absolute error = 2.042810365310288e-12 relative error = 1.535378507079679e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.519999999999833 y[1] (closed_form) = 13.42859666357546 y[1] (numeric) = 13.42859666357754 absolute error = 2.076561145258893e-12 relative error = 1.546372414990676e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.529999999999831 y[1] (closed_form) = 13.55350613666612 y[1] (numeric) = 13.55350613666823 absolute error = 2.113864638886298e-12 relative error = 1.559644137517811e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.53999999999983 y[1] (closed_form) = 13.67967097083173 y[1] (numeric) = 13.67967097083387 absolute error = 2.147615418834903e-12 relative error = 1.569932071768483e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.549999999999829 y[1] (closed_form) = 13.80710378266085 y[1] (numeric) = 13.80710378266303 absolute error = 2.181366198783508e-12 relative error = 1.579886870643283e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.559999999999828 y[1] (closed_form) = 13.93581731554085 y[1] (numeric) = 13.93581731554307 absolute error = 2.220446049250313e-12 relative error = 1.593337512234844e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.569999999999827 y[1] (closed_form) = 14.0658244409323 y[1] (numeric) = 14.06582444093455 absolute error = 2.254196829198918e-12 relative error = 1.602605548409295e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.579999999999826 y[1] (closed_form) = 14.19713815965606 y[1] (numeric) = 14.19713815965835 absolute error = 2.293276679665723e-12 relative error = 1.615309123484138e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.589999999999825 y[1] (closed_form) = 14.32977160319344 y[1] (numeric) = 14.32977160319577 absolute error = 2.330580173293129e-12 relative error = 1.626390313697499e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.599999999999824 y[1] (closed_form) = 14.46373803499932 y[1] (numeric) = 14.46373803500169 absolute error = 2.367883666920534e-12 relative error = 1.637117362877241e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.609999999999823 y[1] (closed_form) = 14.59905085182852 y[1] (numeric) = 14.59905085183092 absolute error = 2.406963517387339e-12 relative error = 1.648712331929353e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.619999999999822 y[1] (closed_form) = 14.73572358507547 y[1] (numeric) = 14.73572358507792 absolute error = 2.446043367854145e-12 relative error = 1.659941131314059e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.62999999999982 y[1] (closed_form) = 14.87376990212742 y[1] (numeric) = 14.8737699021299 absolute error = 2.48512321832095e-12 relative error = 1.670809239805101e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.639999999999819 y[1] (closed_form) = 15.01320360773108 y[1] (numeric) = 15.01320360773361 absolute error = 2.525979425627156e-12 relative error = 1.682505274441491e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.649999999999818 y[1] (closed_form) = 15.15403864537323 y[1] (numeric) = 15.1540386453758 absolute error = 2.570388346612162e-12 relative error = 1.696173810007369e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.659999999999817 y[1] (closed_form) = 15.29628909867499 y[1] (numeric) = 15.2962890986776 absolute error = 2.611244553918368e-12 relative error = 1.707109833681531e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.669999999999816 y[1] (closed_form) = 15.43996919280023 y[1] (numeric) = 15.43996919280288 absolute error = 2.655653474903374e-12 relative error = 1.719986252395974e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.679999999999815 y[1] (closed_form) = 15.58509329587809 y[1] (numeric) = 15.58509329588079 absolute error = 2.700062395888381e-12 relative error = 1.732464698560699e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.689999999999814 y[1] (closed_form) = 15.73167592043983 y[1] (numeric) = 15.73167592044257 absolute error = 2.744471316873387e-12 relative error = 1.744551140484374e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.699999999999813 y[1] (closed_form) = 15.87973172487005 y[1] (numeric) = 15.87973172487284 absolute error = 2.790656594697793e-12 relative error = 1.757370113707403e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.709999999999812 y[1] (closed_form) = 16.02927551487257 y[1] (numeric) = 16.0292755148754 absolute error = 2.831512802003999e-12 relative error = 1.766463368464042e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.719999999999811 y[1] (closed_form) = 16.18032224495102 y[1] (numeric) = 16.1803222449539 absolute error = 2.877698079828406e-12 relative error = 1.778517161935001e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.729999999999809 y[1] (closed_form) = 16.33288701990428 y[1] (numeric) = 16.3328870199072 absolute error = 2.923883357652812e-12 relative error = 1.790181585221024e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.739999999999808 y[1] (closed_form) = 16.48698509633697 y[1] (numeric) = 16.48698509633994 absolute error = 2.970068635477219e-12 relative error = 1.801462558571185e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.749999999999807 y[1] (closed_form) = 16.64263188418516 y[1] (numeric) = 16.64263188418817 absolute error = 3.016253913301625e-12 relative error = 1.812365937245691e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.759999999999806 y[1] (closed_form) = 16.79984294825734 y[1] (numeric) = 16.7998429482604 absolute error = 3.062439191126032e-12 relative error = 1.822897511934004e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.769999999999805 y[1] (closed_form) = 16.95863400979092 y[1] (numeric) = 16.95863400979403 absolute error = 3.108624468950438e-12 relative error = 1.833063009176152e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.779999999999804 y[1] (closed_form) = 17.11902094802439 y[1] (numeric) = 17.11902094802754 absolute error = 3.158362460453645e-12 relative error = 1.844943393692228e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.789999999999803 y[1] (closed_form) = 17.28101980178522 y[1] (numeric) = 17.28101980178842 absolute error = 3.208100451956852e-12 relative error = 1.856430053754952e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.799999999999802 y[1] (closed_form) = 17.44464677109379 y[1] (numeric) = 17.44464677109704 absolute error = 3.254285729781259e-12 relative error = 1.865492475991942e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.809999999999801 y[1] (closed_form) = 17.60991821878339 y[1] (numeric) = 17.60991821878669 absolute error = 3.300471007605665e-12 relative error = 1.874211433920949e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.8199999999998 y[1] (closed_form) = 17.77685067213651 y[1] (numeric) = 17.77685067213986 absolute error = 3.350208999108872e-12 relative error = 1.884590842831346e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.829999999999798 y[1] (closed_form) = 17.9454608245376 y[1] (numeric) = 17.94546082454101 absolute error = 3.40705241796968e-12 relative error = 1.898559447028003e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.839999999999797 y[1] (closed_form) = 18.11576553714241 y[1] (numeric) = 18.11576553714587 absolute error = 3.456790409472887e-12 relative error = 1.908166896058296e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.849999999999796 y[1] (closed_form) = 18.28778184056412 y[1] (numeric) = 18.28778184056762 absolute error = 3.502975687297294e-12 relative error = 1.915473247568683e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.859999999999795 y[1] (closed_form) = 18.46152693657641 y[1] (numeric) = 18.46152693657998 absolute error = 3.566924533515703e-12 relative error = 1.932085328461552e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.869999999999794 y[1] (closed_form) = 18.63701819983369 y[1] (numeric) = 18.63701819983731 absolute error = 3.62021523869771e-12 relative error = 1.942486292539016e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.879999999999793 y[1] (closed_form) = 18.81427317960851 y[1] (numeric) = 18.81427317961219 absolute error = 3.680611371237319e-12 relative error = 1.956286770209375e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.889999999999792 y[1] (closed_form) = 18.99330960154657 y[1] (numeric) = 18.99330960155031 absolute error = 3.741007503776927e-12 relative error = 1.96964488141251e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.899999999999791 y[1] (closed_form) = 19.17414536943926 y[1] (numeric) = 19.17414536944306 absolute error = 3.804956349995336e-12 relative error = 1.984420310101472e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.90999999999979 y[1] (closed_form) = 19.35679856701406 y[1] (numeric) = 19.35679856701793 absolute error = 3.865352482534945e-12 relative error = 1.996896578301897e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.919999999999789 y[1] (closed_form) = 19.54128745974295 y[1] (numeric) = 19.54128745974687 absolute error = 3.922195901395753e-12 relative error = 2.007132799963092e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.929999999999787 y[1] (closed_form) = 19.72763049666894 y[1] (numeric) = 19.72763049667292 absolute error = 3.979039320256561e-12 relative error = 2.016987960580685e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.939999999999786 y[1] (closed_form) = 19.915846312251 y[1] (numeric) = 19.91584631225504 absolute error = 4.03943545279617e-12 relative error = 2.028251970548376e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.949999999999785 y[1] (closed_form) = 20.10595372822754 y[1] (numeric) = 20.10595372823164 absolute error = 4.099831585335778e-12 relative error = 2.039113210322305e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.959999999999784 y[1] (closed_form) = 20.29797175549859 y[1] (numeric) = 20.29797175550275 absolute error = 4.160227717875387e-12 relative error = 2.049578040598271e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.969999999999783 y[1] (closed_form) = 20.49191959602689 y[1] (numeric) = 20.49191959603111 absolute error = 4.224176564093796e-12 relative error = 2.061386462258425e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.979999999999782 y[1] (closed_form) = 20.68781664475811 y[1] (numeric) = 20.68781664476239 absolute error = 4.284572696633404e-12 relative error = 2.071060842333515e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.989999999999781 y[1] (closed_form) = 20.88568249156037 y[1] (numeric) = 20.88568249156472 absolute error = 4.352074256530614e-12 relative error = 2.083759656065455e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.99999999999978 y[1] (closed_form) = 21.08553692318324 y[1] (numeric) = 21.08553692318766 absolute error = 4.419575816427823e-12 relative error = 2.096022421685911e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.009999999999779 y[1] (closed_form) = 21.28739992523644 y[1] (numeric) = 21.28739992524093 absolute error = 4.487077376325033e-12 relative error = 2.107856005000195e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.019999999999778 y[1] (closed_form) = 21.49129168418838 y[1] (numeric) = 21.49129168419294 absolute error = 4.554578936222242e-12 relative error = 2.119267191172668e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.029999999999776 y[1] (closed_form) = 21.69723258938487 y[1] (numeric) = 21.6972325893895 absolute error = 4.625633209798252e-12 relative error = 2.131900089443338e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.039999999999775 y[1] (closed_form) = 21.90524323508806 y[1] (numeric) = 21.90524323509276 absolute error = 4.700240197053063e-12 relative error = 2.145714679636228e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.049999999999774 y[1] (closed_form) = 22.11534442253584 y[1] (numeric) = 22.11534442254062 absolute error = 4.774847184307873e-12 relative error = 2.159065259432377e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.059999999999773 y[1] (closed_form) = 22.32755716202206 y[1] (numeric) = 22.32755716202691 absolute error = 4.845901457883883e-12 relative error = 2.17036795504279e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.069999999999772 y[1] (closed_form) = 22.54190267499751 y[1] (numeric) = 22.54190267500243 absolute error = 4.920508445138694e-12 relative error = 2.182827472942782e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.079999999999771 y[1] (closed_form) = 22.75840239619209 y[1] (numeric) = 22.75840239619709 absolute error = 4.998668146072305e-12 relative error = 2.196405555650372e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.08999999999977 y[1] (closed_form) = 22.97707797575836 y[1] (numeric) = 22.97707797576343 absolute error = 5.069722419648315e-12 relative error = 2.206426084725418e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.099999999999769 y[1] (closed_form) = 23.1979512814365 y[1] (numeric) = 23.19795128144164 absolute error = 5.140776693224325e-12 relative error = 2.216047715100637e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.109999999999768 y[1] (closed_form) = 23.42104440074113 y[1] (numeric) = 23.42104440074635 absolute error = 5.215383680479135e-12 relative error = 2.226793814674678e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.119999999999767 y[1] (closed_form) = 23.64637964317011 y[1] (numeric) = 23.6463796431754 absolute error = 5.297096095091547e-12 relative error = 2.240129852867998e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.129999999999765 y[1] (closed_form) = 23.87397954243545 y[1] (numeric) = 23.87397954244082 absolute error = 5.371703082346357e-12 relative error = 2.250024162414263e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.139999999999764 y[1] (closed_form) = 24.10386685871674 y[1] (numeric) = 24.1038668587222 absolute error = 5.456968210637569e-12 relative error = 2.263938911803337e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.149999999999763 y[1] (closed_form) = 24.33606458093719 y[1] (numeric) = 24.33606458094273 absolute error = 5.538680625249981e-12 relative error = 2.275914664357241e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.159999999999762 y[1] (closed_form) = 24.57059592906252 y[1] (numeric) = 24.57059592906814 absolute error = 5.620393039862392e-12 relative error = 2.287446774221091e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.169999999999761 y[1] (closed_form) = 24.80748435642298 y[1] (numeric) = 24.80748435642869 absolute error = 5.709210881832405e-12 relative error = 2.301406623825691e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.17999999999976 y[1] (closed_form) = 25.04675355205872 y[1] (numeric) = 25.04675355206452 absolute error = 5.794476010123617e-12 relative error = 2.313463897858068e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.189999999999759 y[1] (closed_form) = 25.2884274430887 y[1] (numeric) = 25.28842744309458 absolute error = 5.879741138414829e-12 relative error = 2.32507187394199e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.199999999999758 y[1] (closed_form) = 25.53253019710341 y[1] (numeric) = 25.53253019710937 absolute error = 5.965006266706041e-12 relative error = 2.336237819228254e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.209999999999757 y[1] (closed_form) = 25.77908622458166 y[1] (numeric) = 25.77908622458772 absolute error = 6.053824108676054e-12 relative error = 2.348347049983263e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.219999999999756 y[1] (closed_form) = 26.02812018133169 y[1] (numeric) = 26.02812018133784 absolute error = 6.146194664324867e-12 relative error = 2.361367098932154e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.229999999999754 y[1] (closed_form) = 26.27965697095668 y[1] (numeric) = 26.27965697096293 absolute error = 6.24211793365248e-12 relative error = 2.37526613857671e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.239999999999753 y[1] (closed_form) = 26.53372174734523 y[1] (numeric) = 26.53372174735155 absolute error = 6.327383061943692e-12 relative error = 2.384657200445981e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.249999999999752 y[1] (closed_form) = 26.79033991718667 y[1] (numeric) = 26.79033991719309 absolute error = 6.423306331271306e-12 relative error = 2.397620318042547e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.259999999999751 y[1] (closed_form) = 27.04953714251186 y[1] (numeric) = 27.04953714251837 absolute error = 6.512124173241318e-12 relative error = 2.407480815265659e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.26999999999975 y[1] (closed_form) = 27.31133934325931 y[1] (numeric) = 27.31133934326592 absolute error = 6.608047442568932e-12 relative error = 2.419525223394018e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.279999999999749 y[1] (closed_form) = 27.57577269986729 y[1] (numeric) = 27.57577269987399 absolute error = 6.707523425575346e-12 relative error = 2.432397270814329e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.289999999999748 y[1] (closed_form) = 27.84286365589179 y[1] (numeric) = 27.8428636558986 absolute error = 6.80699940858176e-12 relative error = 2.44479141682732e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.299999999999747 y[1] (closed_form) = 28.11263892065102 y[1] (numeric) = 28.11263892065793 absolute error = 6.906475391588174e-12 relative error = 2.45671543361047e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.309999999999746 y[1] (closed_form) = 28.38512547189625 y[1] (numeric) = 28.38512547190325 absolute error = 7.005951374594588e-12 relative error = 2.468176996973676e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.319999999999744 y[1] (closed_form) = 28.66035055850968 y[1] (numeric) = 28.66035055851679 absolute error = 7.105427357601002e-12 relative error = 2.479183687266971e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.329999999999743 y[1] (closed_form) = 28.93834170322934 y[1] (numeric) = 28.93834170323654 absolute error = 7.204903340607416e-12 relative error = 2.489742990284545e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.339999999999742 y[1] (closed_form) = 29.21912670540134 y[1] (numeric) = 29.21912670540865 absolute error = 7.311484750971431e-12 relative error = 2.502294070828563e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.349999999999741 y[1] (closed_form) = 29.5027336437599 y[1] (numeric) = 29.50273364376731 absolute error = 7.414513447656645e-12 relative error = 2.513161504688188e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.35999999999974 y[1] (closed_form) = 29.7891908792352 y[1] (numeric) = 29.78919087924272 absolute error = 7.52109485802066e-12 relative error = 2.52477312610169e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.369999999999739 y[1] (closed_form) = 30.07852705778948 y[1] (numeric) = 30.07852705779711 absolute error = 7.631228982063476e-12 relative error = 2.53710195562492e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.379999999999738 y[1] (closed_form) = 30.37077111328174 y[1] (numeric) = 30.37077111328948 absolute error = 7.737810392427491e-12 relative error = 2.547781998542538e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.389999999999737 y[1] (closed_form) = 30.66595227036104 y[1] (numeric) = 30.66595227036889 absolute error = 7.847944516470307e-12 relative error = 2.559171959598798e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.399999999999736 y[1] (closed_form) = 30.96410004738909 y[1] (numeric) = 30.96410004739705 absolute error = 7.961631354191923e-12 relative error = 2.571245843414477e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.409999999999735 y[1] (closed_form) = 31.26524425939205 y[1] (numeric) = 31.26524425940012 absolute error = 8.068212764555938e-12 relative error = 2.580569240917494e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.419999999999733 y[1] (closed_form) = 31.56941502104206 y[1] (numeric) = 31.56941502105025 absolute error = 8.189005029635155e-12 relative error = 2.593967935160316e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.429999999999732 y[1] (closed_form) = 31.87664274966878 y[1] (numeric) = 31.87664274967708 absolute error = 8.302691867356771e-12 relative error = 2.604631840485473e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.439999999999731 y[1] (closed_form) = 32.18695816830108 y[1] (numeric) = 32.18695816830951 absolute error = 8.427036846114788e-12 relative error = 2.618152607665191e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.44999999999973 y[1] (closed_form) = 32.50039230873944 y[1] (numeric) = 32.50039230874799 absolute error = 8.554934538551606e-12 relative error = 2.632255776263711e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.459999999999729 y[1] (closed_form) = 32.81697651465907 y[1] (numeric) = 32.81697651466774 absolute error = 8.668621376273222e-12 relative error = 2.641505189364724e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.469999999999728 y[1] (closed_form) = 33.13674244474441 y[1] (numeric) = 33.13674244475319 absolute error = 8.775202786637237e-12 relative error = 2.648179072300153e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.479999999999727 y[1] (closed_form) = 33.45972207585493 y[1] (numeric) = 33.45972207586384 absolute error = 8.903100479074055e-12 relative error = 2.660841132777571e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.489999999999726 y[1] (closed_form) = 33.7859477062229 y[1] (numeric) = 33.78594770623193 absolute error = 9.030998171510873e-12 relative error = 2.673004247220654e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.499999999999725 y[1] (closed_form) = 34.1154519586832 y[1] (numeric) = 34.11545195869236 absolute error = 9.166001291305292e-12 relative error = 2.686759449180425e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.509999999999724 y[1] (closed_form) = 34.44826778393566 y[1] (numeric) = 34.44826778394496 absolute error = 9.301004411099711e-12 relative error = 2.699991903638496e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.519999999999722 y[1] (closed_form) = 34.78442846384018 y[1] (numeric) = 34.78442846384961 absolute error = 9.43600753089413e-12 relative error = 2.712710240647835e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.529999999999721 y[1] (closed_form) = 35.12396761474486 y[1] (numeric) = 35.12396761475442 absolute error = 9.563905223330949e-12 relative error = 2.722900023206966e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.53999999999972 y[1] (closed_form) = 35.46691919084775 y[1] (numeric) = 35.46691919085745 absolute error = 9.698908343125368e-12 relative error = 2.734635137305124e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.549999999999719 y[1] (closed_form) = 35.81331748759224 y[1] (numeric) = 35.81331748760208 absolute error = 9.841016890277388e-12 relative error = 2.747865202291542e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.559999999999718 y[1] (closed_form) = 36.1631971450967 y[1] (numeric) = 36.16319714510667 absolute error = 9.976020010071807e-12 relative error = 2.758611184195156e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.569999999999717 y[1] (closed_form) = 36.51659315161842 y[1] (numeric) = 36.51659315162853 absolute error = 1.011102312986623e-11 relative error = 2.768884569238109e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.579999999999716 y[1] (closed_form) = 36.87354084705257 y[1] (numeric) = 36.87354084706283 absolute error = 1.026023710437585e-11 relative error = 2.78254728693786e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.589999999999715 y[1] (closed_form) = 37.23407592646613 y[1] (numeric) = 37.23407592647653 absolute error = 1.039524022417027e-11 relative error = 2.791862014972496e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.599999999999714 y[1] (closed_form) = 37.59823444366751 y[1] (numeric) = 37.59823444367805 absolute error = 1.054445419867989e-11 relative error = 2.804507805939233e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.609999999999713 y[1] (closed_form) = 37.96605281481188 y[1] (numeric) = 37.96605281482257 absolute error = 1.068656274583191e-11 relative error = 2.814767918581914e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.619999999999711 y[1] (closed_form) = 38.33756782204288 y[1] (numeric) = 38.33756782205372 absolute error = 1.084288214769913e-11 relative error = 2.828265527440376e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.62999999999971 y[1] (closed_form) = 38.71281661717082 y[1] (numeric) = 38.71281661718182 absolute error = 1.099209612220875e-11 relative error = 2.839394568188892e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.639999999999709 y[1] (closed_form) = 39.09183672538794 y[1] (numeric) = 39.09183672539908 absolute error = 1.113420466936077e-11 relative error = 2.848217326695661e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.649999999999708 y[1] (closed_form) = 39.4746660490209 y[1] (numeric) = 39.47466604903219 absolute error = 1.129052407122799e-11 relative error = 2.860194955723516e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.659999999999707 y[1] (closed_form) = 39.86134287132108 y[1] (numeric) = 39.86134287133252 absolute error = 1.144684347309521e-11 relative error = 2.871665289864291e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.669999999999706 y[1] (closed_form) = 40.25190586029296 y[1] (numeric) = 40.25190586030457 absolute error = 1.161026830232004e-11 relative error = 2.884402130576665e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.679999999999705 y[1] (closed_form) = 40.64639407256089 y[1] (numeric) = 40.64639407257267 absolute error = 1.177369313154486e-11 relative error = 2.896614423047409e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.689999999999704 y[1] (closed_form) = 41.04484695727486 y[1] (numeric) = 41.0448469572868 absolute error = 1.194422338812728e-11 relative error = 2.910042130394707e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.699999999999703 y[1] (closed_form) = 41.44730436005536 y[1] (numeric) = 41.44730436006747 absolute error = 1.210764821735211e-11 relative error = 2.921214878577434e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.709999999999702 y[1] (closed_form) = 41.85380652697808 y[1] (numeric) = 41.85380652699035 absolute error = 1.227107304657693e-11 relative error = 2.931889370365216e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.7199999999997 y[1] (closed_form) = 42.26439410859843 y[1] (numeric) = 42.26439410861088 absolute error = 1.244870873051696e-11 relative error = 2.945436458530549e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.729999999999699 y[1] (closed_form) = 42.67910816401676 y[1] (numeric) = 42.67910816402939 absolute error = 1.262634441445698e-11 relative error = 2.958436799085318e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.739999999999698 y[1] (closed_form) = 43.0979901649842 y[1] (numeric) = 43.09799016499699 absolute error = 1.27968746710394e-11 relative error = 2.969250914497743e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.749999999999697 y[1] (closed_form) = 43.5210820000499 y[1] (numeric) = 43.52108200006288 absolute error = 1.297451035497943e-11 relative error = 2.981201238279083e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.759999999999696 y[1] (closed_form) = 43.94842597874997 y[1] (numeric) = 43.94842597876312 absolute error = 1.315214603891945e-11 relative error = 2.992631873842037e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.769999999999695 y[1] (closed_form) = 44.38006483583838 y[1] (numeric) = 44.38006483585171 absolute error = 1.332267629550188e-11 relative error = 3.001950615615904e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.779999999999694 y[1] (closed_form) = 44.81604173556055 y[1] (numeric) = 44.81604173557407 absolute error = 1.351452283415711e-11 relative error = 3.015554768067262e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.789999999999693 y[1] (closed_form) = 45.25640027596977 y[1] (numeric) = 45.25640027598347 absolute error = 1.370636937281233e-11 relative error = 3.028603532148388e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.799999999999692 y[1] (closed_form) = 45.70118449328704 y[1] (numeric) = 45.70118449330092 absolute error = 1.388400505675236e-11 relative error = 3.037996763254955e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.809999999999691 y[1] (closed_form) = 46.15043886630475 y[1] (numeric) = 46.15043886631882 absolute error = 1.407585159540758e-11 relative error = 3.049993010073976e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.819999999999689 y[1] (closed_form) = 46.60420832083457 y[1] (numeric) = 46.60420832084884 absolute error = 1.426769813406281e-11 relative error = 3.061461324659899e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.829999999999688 y[1] (closed_form) = 47.06253823420012 y[1] (numeric) = 47.06253823421458 absolute error = 1.445954467271804e-11 relative error = 3.072410714603225e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.839999999999687 y[1] (closed_form) = 47.52547443977465 y[1] (numeric) = 47.52547443978931 absolute error = 1.465849663873087e-11 relative error = 3.084345145739985e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.849999999999686 y[1] (closed_form) = 47.99306323156453 y[1] (numeric) = 47.99306323157938 absolute error = 1.485034317738609e-11 relative error = 3.094268666647471e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.859999999999685 y[1] (closed_form) = 48.46535136883858 y[1] (numeric) = 48.46535136885363 absolute error = 1.505640057075652e-11 relative error = 3.106631881438753e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.869999999999684 y[1] (closed_form) = 48.9423860808041 y[1] (numeric) = 48.94238608081935 absolute error = 1.524824710941175e-11 relative error = 3.115550411505648e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.879999999999683 y[1] (closed_form) = 49.42421507132982 y[1] (numeric) = 49.42421507134527 absolute error = 1.545430450278218e-11 relative error = 3.126868981222722e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.889999999999682 y[1] (closed_form) = 49.91088652371631 y[1] (numeric) = 49.91088652373197 absolute error = 1.566036189615261e-11 relative error = 3.137664543127525e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.899999999999681 y[1] (closed_form) = 50.40244910551439 y[1] (numeric) = 50.40244910553027 absolute error = 1.588063014423824e-11 relative error = 3.150765573115927e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.90999999999968 y[1] (closed_form) = 50.89895197339187 y[1] (numeric) = 50.89895197340797 absolute error = 1.610089839232387e-11 relative error = 3.163306466651973e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.919999999999678 y[1] (closed_form) = 51.40044477804928 y[1] (numeric) = 51.40044477806558 absolute error = 1.63069557856943e-11 relative error = 3.172532038605673e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.929999999999677 y[1] (closed_form) = 51.906977669185 y[1] (numeric) = 51.90697766920153 absolute error = 1.652722403377993e-11 relative error = 3.184008157653042e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.939999999999676 y[1] (closed_form) = 52.41860130051027 y[1] (numeric) = 52.41860130052702 absolute error = 1.674749228186556e-11 relative error = 3.194952147970139e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.949999999999675 y[1] (closed_form) = 52.93536683481456 y[1] (numeric) = 52.93536683483153 absolute error = 1.697486595730879e-11 relative error = 3.206715466859626e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.959999999999674 y[1] (closed_form) = 53.45732594908195 y[1] (numeric) = 53.45732594909916 absolute error = 1.720934506010963e-11 relative error = 3.219267846749669e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.969999999999673 y[1] (closed_form) = 53.98453083965883 y[1] (numeric) = 53.98453083967627 absolute error = 1.743671873555286e-11 relative error = 3.229947257917682e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.979999999999672 y[1] (closed_form) = 54.51703422747359 y[1] (numeric) = 54.51703422749127 absolute error = 1.767830326571129e-11 relative error = 3.242711845246049e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.989999999999671 y[1] (closed_form) = 55.05488936330879 y[1] (numeric) = 55.05488936332672 absolute error = 1.792699322322733e-11 relative error = 3.2562036597561e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.99999999999967 y[1] (closed_form) = 55.5981500331262 y[1] (numeric) = 55.59815003314436 absolute error = 1.816147232602816e-11 relative error = 3.266560544767638e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.009999999999673 y[1] (closed_form) = 56.14687056344578 y[1] (numeric) = 56.14687056346393 absolute error = 1.815436689867056e-11 relative error = 3.23337110625893e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.019999999999676 y[1] (closed_form) = 56.70110582677759 y[1] (numeric) = 56.70110582679573 absolute error = 1.814726147131296e-11 relative error = 3.200512795421136e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.02999999999968 y[1] (closed_form) = 57.26091124710981 y[1] (numeric) = 57.26091124712794 absolute error = 1.813305061659776e-11 relative error = 3.166741538279834e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.039999999999683 y[1] (closed_form) = 57.82634280545101 y[1] (numeric) = 57.82634280546912 absolute error = 1.811173433452495e-11 relative error = 3.132090575995695e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.049999999999686 y[1] (closed_form) = 58.39745704542819 y[1] (numeric) = 58.39745704544629 absolute error = 1.809752347980975e-11 relative error = 3.099025950005227e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.05999999999969 y[1] (closed_form) = 58.9743110789413 y[1] (numeric) = 58.97431107895937 absolute error = 1.807620719773695e-11 relative error = 3.065098492382669e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.069999999999693 y[1] (closed_form) = 59.55696259187439 y[1] (numeric) = 59.55696259189244 absolute error = 1.805489091566415e-11 relative error = 3.0315331961082e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.079999999999696 y[1] (closed_form) = 60.14546984986431 y[1] (numeric) = 60.14546984988234 absolute error = 1.803357463359134e-11 relative error = 2.998326337562401e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.0899999999997 y[1] (closed_form) = 60.73989170412726 y[1] (numeric) = 60.73989170414529 absolute error = 1.802646920623374e-11 relative error = 2.967813853545091e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.099999999999703 y[1] (closed_form) = 61.34028759734405 y[1] (numeric) = 61.34028759736204 absolute error = 1.799094206944574e-11 relative error = 2.932973217788552e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.109999999999706 y[1] (closed_form) = 61.94671756960431 y[1] (numeric) = 61.94671756962228 absolute error = 1.796962578737293e-11 relative error = 2.900819687045077e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.11999999999971 y[1] (closed_form) = 62.55924226441064 y[1] (numeric) = 62.55924226442858 absolute error = 1.793409865058493e-11 relative error = 2.86673847083782e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.129999999999713 y[1] (closed_form) = 63.17792293474296 y[1] (numeric) = 63.17792293476085 absolute error = 1.789146608643932e-11 relative error = 2.831917425477817e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.139999999999716 y[1] (closed_form) = 63.80282144918386 y[1] (numeric) = 63.80282144920173 absolute error = 1.787014980436652e-11 relative error = 2.800840056673561e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.14999999999972 y[1] (closed_form) = 64.43400029810554 y[1] (numeric) = 64.43400029812339 absolute error = 1.784883352229372e-11 relative error = 2.770095514746195e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.159999999999723 y[1] (closed_form) = 65.07152259991888 y[1] (numeric) = 65.07152259993671 absolute error = 1.783462266757851e-11 relative error = 2.740772300232106e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.169999999999726 y[1] (closed_form) = 65.71545210738533 y[1] (numeric) = 65.71545210740312 absolute error = 1.779199010343291e-11 relative error = 2.707428699472248e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.17999999999973 y[1] (closed_form) = 66.36585321399225 y[1] (numeric) = 66.36585321401002 absolute error = 1.77635683940025e-11 relative error = 2.676612675606696e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.189999999999733 y[1] (closed_form) = 67.0227909603923 y[1] (numeric) = 67.02279096041001 absolute error = 1.77067249751417e-11 relative error = 2.641896095554367e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.199999999999736 y[1] (closed_form) = 67.68633104090756 y[1] (numeric) = 67.68633104092523 absolute error = 1.766409241099609e-11 relative error = 2.609698611130281e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.20999999999974 y[1] (closed_form) = 68.35653981009905 y[1] (numeric) = 68.35653981011669 absolute error = 1.763567070156569e-11 relative error = 2.579953688492608e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.219999999999743 y[1] (closed_form) = 69.0334842894022 y[1] (numeric) = 69.03348428941976 absolute error = 1.756461642798968e-11 relative error = 2.544361856972956e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.229999999999746 y[1] (closed_form) = 69.71723217382903 y[1] (numeric) = 69.71723217384655 absolute error = 1.752198386384407e-11 relative error = 2.513293100930304e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.23999999999975 y[1] (closed_form) = 70.40785183873781 y[1] (numeric) = 70.40785183875528 absolute error = 1.746514044498326e-11 relative error = 2.480567151087841e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.249999999999753 y[1] (closed_form) = 71.10541234667055 y[1] (numeric) = 71.10541234668796 absolute error = 1.740829702612245e-11 relative error = 2.448237968334851e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.259999999999756 y[1] (closed_form) = 71.80998345425932 y[1] (numeric) = 71.80998345427666 absolute error = 1.733724275254644e-11 relative error = 2.414322064785005e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.26999999999976 y[1] (closed_form) = 72.52163561920204 y[1] (numeric) = 72.52163561921931 absolute error = 1.726618847897043e-11 relative error = 2.380832744814535e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.279999999999763 y[1] (closed_form) = 73.24044000730825 y[1] (numeric) = 73.24044000732543 absolute error = 1.718092335067922e-11 relative error = 2.345824704079445e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.289999999999766 y[1] (closed_form) = 73.96646849961576 y[1] (numeric) = 73.96646849963287 absolute error = 1.710986907710321e-11 relative error = 2.313192643122078e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.29999999999977 y[1] (closed_form) = 74.69979369957883 y[1] (numeric) = 74.69979369959587 absolute error = 1.70388148035272e-11 relative error = 2.280972136556686e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.309999999999773 y[1] (closed_form) = 75.44048894032856 y[1] (numeric) = 75.44048894034555 absolute error = 1.698197138466639e-11 relative error = 2.251042062850187e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.319999999999776 y[1] (closed_form) = 76.18862829200629 y[1] (numeric) = 76.18862829202315 absolute error = 1.686828454694478e-11 relative error = 2.21401604479531e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.32999999999978 y[1] (closed_form) = 76.9442865691706 y[1] (numeric) = 76.9442865691874 absolute error = 1.679723027336877e-11 relative error = 2.18303801650933e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.339999999999783 y[1] (closed_form) = 77.70753933827896 y[1] (numeric) = 77.70753933829567 absolute error = 1.671196514507756e-11 relative error = 2.150623387046975e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.349999999999786 y[1] (closed_form) = 78.47846292524432 y[1] (numeric) = 78.47846292526094 absolute error = 1.662670001678634e-11 relative error = 2.118632220488865e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.35999999999979 y[1] (closed_form) = 79.25713442306781 y[1] (numeric) = 79.25713442308435 absolute error = 1.654143488849513e-11 relative error = 2.087059418550053e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.369999999999793 y[1] (closed_form) = 80.0436316995481 y[1] (numeric) = 80.04363169956454 absolute error = 1.644195890548872e-11 relative error = 2.054124551370343e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.379999999999797 y[1] (closed_form) = 80.83803340506827 y[1] (numeric) = 80.83803340508457 absolute error = 1.62998503583367e-11 relative error = 2.016359091352506e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.3899999999998 y[1] (closed_form) = 81.64041898046086 y[1] (numeric) = 81.64041898047705 absolute error = 1.618616352061508e-11 relative error = 1.982616419997666e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.399999999999803 y[1] (closed_form) = 82.45086866495208 y[1] (numeric) = 82.45086866496816 absolute error = 1.607247668289347e-11 relative error = 1.94933988484775e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.409999999999807 y[1] (closed_form) = 83.26946350418575 y[1] (numeric) = 83.26946350420171 absolute error = 1.595878984517185e-11 relative error = 1.916523677898998e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.41999999999981 y[1] (closed_form) = 84.09628535832798 y[1] (numeric) = 84.09628535834378 absolute error = 1.580247044330463e-11 relative error = 1.879092563479051e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.429999999999813 y[1] (closed_form) = 84.93141691025315 y[1] (numeric) = 84.93141691026884 absolute error = 1.568878360558301e-11 relative error = 1.847229703251191e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.439999999999817 y[1] (closed_form) = 85.77494167381245 y[1] (numeric) = 85.77494167382801 absolute error = 1.556088591314619e-11 relative error = 1.814152899377257e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.44999999999982 y[1] (closed_form) = 86.62694400218516 y[1] (numeric) = 86.62694400220059 absolute error = 1.543298822070938e-11 relative error = 1.78154596107189e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.459999999999823 y[1] (closed_form) = 87.4875090963141 y[1] (numeric) = 87.4875090963294 absolute error = 1.530509052827256e-11 relative error = 1.74940293607209e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.469999999999827 y[1] (closed_form) = 88.35672301342585 y[1] (numeric) = 88.35672301344101 absolute error = 1.516298198112054e-11 relative error = 1.716109591209773e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.47999999999983 y[1] (closed_form) = 89.23467267563647 y[1] (numeric) = 89.2346726756515 absolute error = 1.502087343396852e-11 relative error = 1.683300110100547e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.489999999999833 y[1] (closed_form) = 90.1214458786438 y[1] (numeric) = 90.12144587865868 absolute error = 1.48787648868165e-11 relative error = 1.650968284158692e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.499999999999837 y[1] (closed_form) = 91.0171313005071 y[1] (numeric) = 91.01713130052183 absolute error = 1.472244548494928e-11 relative error = 1.617546639251994e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.50999999999984 y[1] (closed_form) = 91.921818510515 y[1] (numeric) = 91.92181851052955 absolute error = 1.455191522836685e-11 relative error = 1.583075211539929e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.519999999999843 y[1] (closed_form) = 92.83559797814239 y[1] (numeric) = 92.83559797815678 absolute error = 1.439559582649963e-11 relative error = 1.550654720820454e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.529999999999847 y[1] (closed_form) = 93.75856108209751 y[1] (numeric) = 93.75856108211174 absolute error = 1.422506556991721e-11 relative error = 1.517201779308596e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.53999999999985 y[1] (closed_form) = 94.69080011945991 y[1] (numeric) = 94.69080011947398 absolute error = 1.406874616804998e-11 relative error = 1.485756393472349e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.549999999999853 y[1] (closed_form) = 95.63240831491019 y[1] (numeric) = 95.63240831492409 absolute error = 1.389821591146756e-11 relative error = 1.453295609340068e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.559999999999857 y[1] (closed_form) = 96.58347983005257 y[1] (numeric) = 96.58347983006631 absolute error = 1.374189650960034e-11 relative error = 1.422799896398479e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.56999999999986 y[1] (closed_form) = 97.54410977283113 y[1] (numeric) = 97.54410977284469 absolute error = 1.355715539830271e-11 relative error = 1.38984869818134e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.579999999999863 y[1] (closed_form) = 98.51439420704067 y[1] (numeric) = 98.51439420705405 absolute error = 1.338662514172029e-11 relative error = 1.358849663490451e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.589999999999867 y[1] (closed_form) = 99.4944301619332 y[1] (numeric) = 99.49443016194637 absolute error = 1.317346232099226e-11 relative error = 1.324040179892648e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.59999999999987 y[1] (closed_form) = 100.4843156419209 y[1] (numeric) = 100.4843156419338 absolute error = 1.297451035497943e-11 relative error = 1.291197563728704e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.609999999999873 y[1] (closed_form) = 101.4841496363766 y[1] (numeric) = 101.4841496363894 absolute error = 1.27613475342514e-11 relative error = 1.257471987495192e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.619999999999877 y[1] (closed_form) = 102.4940321295331 y[1] (numeric) = 102.4940321295456 absolute error = 1.251976300409297e-11 relative error = 1.221511413295786e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.62999999999988 y[1] (closed_form) = 103.5140641104812 y[1] (numeric) = 103.5140641104935 absolute error = 1.230660018336494e-11 relative error = 1.188881944605134e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.639999999999883 y[1] (closed_form) = 104.544347583269 y[1] (numeric) = 104.5443475832811 absolute error = 1.209343736263691e-11 relative error = 1.156775822146152e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.649999999999887 y[1] (closed_form) = 105.5849855771023 y[1] (numeric) = 105.5849855771142 absolute error = 1.183764197776327e-11 relative error = 1.121148230788833e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.65999999999989 y[1] (closed_form) = 106.6360821566479 y[1] (numeric) = 106.6360821566595 absolute error = 1.159605744760484e-11 relative error = 1.087442187773767e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.669999999999893 y[1] (closed_form) = 107.6977424324395 y[1] (numeric) = 107.6977424324508 absolute error = 1.13544729174464e-11 relative error = 1.054290708514085e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.679999999999897 y[1] (closed_form) = 108.7700725713893 y[1] (numeric) = 108.7700725714005 absolute error = 1.111288838728797e-11 relative error = 1.021686216122934e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.6899999999999 y[1] (closed_form) = 109.8531798074051 y[1] (numeric) = 109.853179807416 absolute error = 1.085709300241433e-11 relative error = 9.883276043032178e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.699999999999903 y[1] (closed_form) = 110.9471724521129 y[1] (numeric) = 110.9471724521235 absolute error = 1.06155084722559e-11 relative error = 9.56807482122879e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.709999999999907 y[1] (closed_form) = 112.0521599056888 y[1] (numeric) = 112.0521599056992 absolute error = 1.033129137795186e-11 relative error = 9.220073389613744e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.71999999999991 y[1] (closed_form) = 113.1682526677991 y[1] (numeric) = 113.1682526678092 absolute error = 1.008970684779342e-11 relative error = 8.915669023724662e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.729999999999913 y[1] (closed_form) = 114.2955623486501 y[1] (numeric) = 114.2955623486599 absolute error = 9.805489753489383e-12 relative error = 8.579064271610538e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.739999999999917 y[1] (closed_form) = 115.4342016801491 y[1] (numeric) = 115.4342016801587 absolute error = 9.535483513900544e-12 relative error = 8.260535764193994e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.74999999999992 y[1] (closed_form) = 116.5842845271784 y[1] (numeric) = 116.5842845271877 absolute error = 9.265477274311706e-12 relative error = 7.947449617149483e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.759999999999923 y[1] (closed_form) = 117.745925898981 y[1] (numeric) = 117.7459258989899 absolute error = 8.967049325292464e-12 relative error = 7.61559201036447e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.769999999999927 y[1] (closed_form) = 118.919241960662 y[1] (numeric) = 118.9192419606707 absolute error = 8.65441052155802e-12 relative error = 7.277552714657281e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.77999999999993 y[1] (closed_form) = 120.1043500448055 y[1] (numeric) = 120.1043500448139 absolute error = 8.341771717823576e-12 relative error = 6.945436792848583e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.789999999999933 y[1] (closed_form) = 121.3013686632075 y[1] (numeric) = 121.3013686632155 absolute error = 8.01492205937393e-12 relative error = 6.607445693071538e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.799999999999937 y[1] (closed_form) = 122.5104175187272 y[1] (numeric) = 122.5104175187349 absolute error = 7.702283255639486e-12 relative error = 6.287043511595329e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.80999999999994 y[1] (closed_form) = 123.7316175172578 y[1] (numeric) = 123.7316175172652 absolute error = 7.361222742474638e-12 relative error = 5.949346569762502e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.819999999999943 y[1] (closed_form) = 124.9650907798169 y[1] (numeric) = 124.9650907798239 absolute error = 7.005951374594588e-12 relative error = 5.606326799649009e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.829999999999947 y[1] (closed_form) = 126.2109606547585 y[1] (numeric) = 126.2109606547652 absolute error = 6.66489086142974e-12 relative error = 5.28075440267117e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.83999999999995 y[1] (closed_form) = 127.4693517301085 y[1] (numeric) = 127.4693517301148 absolute error = 6.295408638834488e-12 relative error = 4.938762575778834e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.849999999999953 y[1] (closed_form) = 128.7403898460229 y[1] (numeric) = 128.7403898460288 absolute error = 5.940137270954438e-12 relative error = 4.614043252516951e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.859999999999957 y[1] (closed_form) = 130.0242021073726 y[1] (numeric) = 130.0242021073782 absolute error = 5.570655048359185e-12 relative error = 4.284321655563013e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.86999999999996 y[1] (closed_form) = 131.3209168964536 y[1] (numeric) = 131.3209168964588 absolute error = 5.201172825763933e-12 relative error = 3.960658323658409e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.879999999999963 y[1] (closed_form) = 132.6306638858254 y[1] (numeric) = 132.6306638858302 absolute error = 4.803268893738277e-12 relative error = 3.621537247127974e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.889999999999967 y[1] (closed_form) = 133.9535740512784 y[1] (numeric) = 133.9535740512828 absolute error = 4.433786671143025e-12 relative error = 3.309942793647104e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.89999999999997 y[1] (closed_form) = 135.2897796849315 y[1] (numeric) = 135.2897796849355 absolute error = 4.007461029686965e-12 relative error = 2.962131388653089e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.909999999999973 y[1] (closed_form) = 136.6394144084616 y[1] (numeric) = 136.6394144084653 absolute error = 3.637978807091713e-12 relative error = 2.662466626369284e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.919999999999977 y[1] (closed_form) = 138.0026131864658 y[1] (numeric) = 138.002613186469 absolute error = 3.211653165635653e-12 relative error = 2.327240833690695e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.92999999999998 y[1] (closed_form) = 139.3795123399579 y[1] (numeric) = 139.3795123399607 absolute error = 2.785327524179593e-12 relative error = 1.998376574446576e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.939999999999984 y[1] (closed_form) = 140.7702495600007 y[1] (numeric) = 140.770249560003 absolute error = 2.302158463862725e-12 relative error = 1.635401280496753e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.949999999999987 y[1] (closed_form) = 142.174963921475 y[1] (numeric) = 142.1749639214768 absolute error = 1.84741111297626e-12 relative error = 1.299392707422531e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.95999999999999 y[1] (closed_form) = 143.5937958969877 y[1] (numeric) = 143.5937958969891 absolute error = 1.392663762089796e-12 relative error = 9.698634633831082e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.969999999999994 y[1] (closed_form) = 145.0268873709186 y[1] (numeric) = 145.0268873709196 absolute error = 9.094947017729282e-13 relative error = 6.271214381418929e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.979999999999997 y[1] (closed_form) = 146.4743816536095 y[1] (numeric) = 146.47438165361 absolute error = 4.263256414560601e-13 relative error = 2.910581609173527e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.99 y[1] (closed_form) = 147.9364234956948 y[1] (numeric) = 147.9364234956948 absolute error = 2.842170943040401e-14 relative error = 1.921211068836684e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 2 ) = diff ( y , x , 1 ) ; Iterations = 4000 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 3 Minutes 0.0 Seconds Percent Done = 100 %