##############ECHO OF PROBLEM################# ##############temp/div_c_exppostode.ode################# diff ( y , x , 1 ) = 2.0 / exp ( x ) ; ! // 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); 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(-2.0)/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) = -0.7357588823428847 y[1] (numeric) = -0.7357588823428847 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) = -0.7284379591430474 y[1] (numeric) = -0.7284379591430465 absolute error = 8.881784197001252e-16 relative error = 1.219291785322391e-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] = 1.019999999999998 y[1] (closed_form) = -0.7211898803461582 y[1] (numeric) = -0.7211898803461563 absolute error = 1.887379141862766e-15 relative error = 2.617034976914621e-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) = -0.7140139211382971 y[1] (numeric) = -0.7140139211382944 absolute error = 2.664535259100376e-15 relative error = 3.731769339808548e-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) = -0.7069093639175634 y[1] (numeric) = -0.70690936391756 absolute error = 3.441691376337985e-15 relative error = 4.86864590004121e-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) = -0.6998754982223147 y[1] (numeric) = -0.6998754982223104 absolute error = 4.218847493575595e-15 relative error = 6.027997128477104e-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) = -0.6929116206601195 y[1] (numeric) = -0.6929116206601145 absolute error = 4.996003610813204e-15 relative error = 7.210159942264552e-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) = -0.6860170348374186 y[1] (numeric) = -0.6860170348374128 absolute error = 5.773159728050814e-15 relative error = 8.415475760625993e-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) = -0.6791910512898842 y[1] (numeric) = -0.6791910512898777 absolute error = 6.550315845288424e-15 relative error = 9.644290561320567e-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) = -0.6724329874134733 y[1] (numeric) = -0.6724329874134659 absolute error = 7.438494264988549e-15 relative error = 1.106206031563214e-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] = 1.099999999999989 y[1] (closed_form) = -0.6657421673961664 y[1] (numeric) = -0.6657421673961583 absolute error = 8.104628079763643e-15 relative error = 1.217382415697395e-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] = 1.109999999999988 y[1] (closed_form) = -0.6591179221503861 y[1] (numeric) = -0.6591179221503772 absolute error = 8.881784197001252e-15 relative error = 1.347525821786827e-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] = 1.119999999999987 y[1] (closed_form) = -0.6525595892460876 y[1] (numeric) = -0.6525595892460779 absolute error = 9.658940314238862e-15 relative error = 1.480162191072541e-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] = 1.129999999999986 y[1] (closed_form) = -0.6460665128445151 y[1] (numeric) = -0.6460665128445048 absolute error = 1.032507412901396e-14 relative error = 1.598144142087554e-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) = -0.6396380436326177 y[1] (numeric) = -0.6396380436326066 absolute error = 1.110223024625157e-14 relative error = 1.735705115849588e-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) = -0.6332735387581169 y[1] (numeric) = -0.6332735387581052 absolute error = 1.165734175856414e-14 relative error = 1.840806704386356e-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) = -0.6269723617652216 y[1] (numeric) = -0.6269723617652093 absolute error = 1.232347557333924e-14 relative error = 1.965553240439956e-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) = -0.6207338825309816 y[1] (numeric) = -0.6207338825309686 absolute error = 1.298960938811433e-14 relative error = 2.092621291293214e-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) = -0.6145574772022746 y[1] (numeric) = -0.6145574772022612 absolute error = 1.343369859796439e-14 relative error = 2.18591410833048e-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) = -0.6084425281334208 y[1] (numeric) = -0.6084425281334067 absolute error = 1.409983241273949e-14 relative error = 2.317364707558319e-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) = -0.6023884238244175 y[1] (numeric) = -0.6023884238244026 absolute error = 1.48769885299771e-14 relative error = 2.469667068886669e-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) = -0.5963945588597885 y[1] (numeric) = -0.5963945588597731 absolute error = 1.543210004228968e-14 relative error = 2.587565532420919e-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] = 1.219999999999976 y[1] (closed_form) = -0.5904603338480428 y[1] (numeric) = -0.5904603338480265 absolute error = 1.620925615952729e-14 relative error = 2.745189681733777e-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] = 1.229999999999975 y[1] (closed_form) = -0.5845851553617336 y[1] (numeric) = -0.5845851553617168 absolute error = 1.676436767183986e-14 relative error = 2.867737491805842e-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] = 1.239999999999974 y[1] (closed_form) = -0.5787684358781165 y[1] (numeric) = -0.5787684358780991 absolute error = 1.743050148661496e-14 relative error = 3.011653781735544e-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] = 1.249999999999972 y[1] (closed_form) = -0.5730095937203961 y[1] (numeric) = -0.5730095937203777 absolute error = 1.831867990631508e-14 relative error = 3.196923770050141e-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] = 1.259999999999971 y[1] (closed_form) = -0.567308052999557 y[1] (numeric) = -0.5673080529995381 absolute error = 1.887379141862766e-14 relative error = 3.326903490764021e-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) = -0.5616632435567762 y[1] (numeric) = -0.5616632435567568 absolute error = 1.942890293094024e-14 relative error = 3.459172939269659e-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) = -0.5560746009064054 y[1] (numeric) = -0.5560746009063854 absolute error = 1.998401444325282e-14 relative error = 3.593765011147558e-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) = -0.5505415661795222 y[1] (numeric) = -0.5505415661795017 absolute error = 2.05391259555654e-14 relative error = 3.730713031914458e-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) = -0.5450635860680433 y[1] (numeric) = -0.5450635860680219 absolute error = 2.142730437526552e-14 relative error = 3.931156827011121e-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) = -0.5396401127693922 y[1] (numeric) = -0.5396401127693702 absolute error = 2.19824158875781e-14 relative error = 4.073532594670549e-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) = -0.5342706039317195 y[1] (numeric) = -0.5342706039316969 absolute error = 2.264854970235319e-14 relative error = 4.239153255987055e-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) = -0.5289545225996671 y[1] (numeric) = -0.5289545225996439 absolute error = 2.320366121466577e-14 relative error = 4.386702490154751e-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) = -0.5236913371606716 y[1] (numeric) = -0.5236913371606476 absolute error = 2.398081733190338e-14 relative error = 4.579189234238932e-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) = -0.518480521291803 y[1] (numeric) = -0.5184805212917785 absolute error = 2.453592884421596e-14 relative error = 4.732275917151965e-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) = -0.5133215539071321 y[1] (numeric) = -0.5133215539071071 absolute error = 2.498001805406602e-14 relative error = 4.866348951048585e-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) = -0.5082139191056213 y[1] (numeric) = -0.5082139191055959 absolute error = 2.542410726391608e-14 relative error = 5.0026389101382e-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) = -0.5031571061195341 y[1] (numeric) = -0.503157106119508 absolute error = 2.609024107869118e-14 relative error = 5.185307086270777e-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) = -0.4981506092633577 y[1] (numeric) = -0.4981506092633312 absolute error = 2.65898414397725e-14 relative error = 5.337711315678674e-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) = -0.4931939278832347 y[1] (numeric) = -0.4931939278832075 absolute error = 2.714495295208508e-14 relative error = 5.503910615564541e-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) = -0.4882865663068962 y[1] (numeric) = -0.4882865663068686 absolute error = 2.758904216193514e-14 relative error = 5.650174316816034e-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) = -0.4834280337940953 y[1] (numeric) = -0.483428033794067 absolute error = 2.831068712794149e-14 relative error = 5.856236119728166e-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) = -0.4786178444875318 y[1] (numeric) = -0.4786178444875029 absolute error = 2.886579864025407e-14 relative error = 6.031074472612155e-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) = -0.4738555173642665 y[1] (numeric) = -0.4738555173642372 absolute error = 2.930988785010413e-14 relative error = 6.18540605227833e-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) = -0.4691405761876186 y[1] (numeric) = -0.4691405761875888 absolute error = 2.980948821118545e-14 relative error = 6.354063094142608e-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) = -0.4644725494595412 y[1] (numeric) = -0.4644725494595108 absolute error = 3.042011087472929e-14 relative error = 6.549388313717578e-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) = -0.4598509703734715 y[1] (numeric) = -0.4598509703734406 absolute error = 3.086420008457935e-14 relative error = 6.711783180431859e-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) = -0.4552753767676496 y[1] (numeric) = -0.4552753767676182 absolute error = 3.136380044566067e-14 relative error = 6.888973585247777e-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) = -0.4507453110789018 y[1] (numeric) = -0.4507453110788699 absolute error = 3.180788965551073e-14 relative error = 7.056732232971104e-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) = -0.4462603202968843 y[1] (numeric) = -0.446260320296852 absolute error = 3.22519788653608e-14 relative error = 7.227167058882689e-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) = -0.4418199559187811 y[1] (numeric) = -0.4418199559187486 absolute error = 3.252953462151709e-14 relative error = 7.362622304796238e-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) = -0.4374237739044545 y[1] (numeric) = -0.4374237739044214 absolute error = 3.308464613382966e-14 relative error = 7.563522631272499e-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) = -0.4330713346320394 y[1] (numeric) = -0.4330713346320058 absolute error = 3.358424649491099e-14 relative error = 7.754899437859575e-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) = -0.4287622028539814 y[1] (numeric) = -0.4287622028539473 absolute error = 3.413935800722356e-14 relative error = 7.962305860913306e-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) = -0.4244959476535118 y[1] (numeric) = -0.4244959476534771 absolute error = 3.469446951953614e-14 relative error = 8.173097932104397e-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) = -0.4202721424015554 y[1] (numeric) = -0.4202721424015203 absolute error = 3.51385587293862e-14 relative error = 8.360905990245848e-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) = -0.4160903647140671 y[1] (numeric) = -0.4160903647140315 absolute error = 3.558264793923627e-14 relative error = 8.551663522342867e-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) = -0.4119501964097932 y[1] (numeric) = -0.4119501964097573 absolute error = 3.597122599785507e-14 relative error = 8.731935634780518e-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) = -0.4078512234684534 y[1] (numeric) = -0.407851223468417 absolute error = 3.641531520770513e-14 relative error = 8.928578146222429e-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) = -0.4037930359893375 y[1] (numeric) = -0.4037930359893007 absolute error = 3.680389326632394e-14 relative error = 9.114543834603373e-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) = -0.3997752281503159 y[1] (numeric) = -0.3997752281502787 absolute error = 3.7247982476174e-14 relative error = 9.317231247296973e-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) = -0.3957973981672564 y[1] (numeric) = -0.3957973981672188 absolute error = 3.763656053479281e-14 relative error = 9.509046979355917e-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) = -0.3918591482538459 y[1] (numeric) = -0.3918591482538079 absolute error = 3.802513859341161e-14 relative error = 9.703777176787762e-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) = -0.3879600845818111 y[1] (numeric) = -0.3879600845817727 absolute error = 3.846922780326167e-14 relative error = 9.915769516528567e-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) = -0.3840998172415357 y[1] (numeric) = -0.3840998172414968 absolute error = 3.896882816434299e-14 relative error = 1.014549510702787e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.3802779602030687 y[1] (numeric) = -0.3802779602030293 absolute error = 3.941291737419306e-14 relative error = 1.03642391878684e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.3764941312775213 y[1] (numeric) = -0.3764941312774815 absolute error = 3.97459842815806e-14 relative error = 1.055686688839329e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.3727479520788479 y[1] (numeric) = -0.3727479520788077 absolute error = 4.013456234019941e-14 relative error = 1.07672120306404e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.3690390479860066 y[1] (numeric) = -0.369039047985966 absolute error = 4.057865155004947e-14 relative error = 1.099576095578595e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.3653670481054975 y[1] (numeric) = -0.3653670481054563 absolute error = 4.113376306236205e-14 relative error = 1.12582027513562e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.3617315852342725 y[1] (numeric) = -0.3617315852342309 absolute error = 4.152234112098085e-14 relative error = 1.147877122593241e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.3581322958230148 y[1] (numeric) = -0.3581322958229728 absolute error = 4.196643033083092e-14 relative error = 1.171813623632823e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.3545688199397841 y[1] (numeric) = -0.3545688199397418 absolute error = 4.229949723821846e-14 relative error = 1.192984122106454e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.3510408012340224 y[1] (numeric) = -0.3510408012339796 absolute error = 4.274358644806853e-14 relative error = 1.217624455556475e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.3475478869009189 y[1] (numeric) = -0.3475478869008758 absolute error = 4.313216450668733e-14 relative error = 1.241042346460409e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.3440897276461299 y[1] (numeric) = -0.3440897276460863 absolute error = 4.357625371653739e-14 relative error = 1.266421233049778e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.3406659776508478 y[1] (numeric) = -0.3406659776508038 absolute error = 4.39648317751562e-14 relative error = 1.290555402048872e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.33727629453722 y[1] (numeric) = -0.3372762945371757 absolute error = 4.424238753131249e-14 relative error = 1.311755028381639e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.3339203393341105 y[1] (numeric) = -0.3339203393340658 absolute error = 4.463096558993129e-14 relative error = 1.336575234648253e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.3305977764432022 y[1] (numeric) = -0.3305977764431572 absolute error = 4.50195436485501e-14 relative error = 1.361761840412275e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.3273082736054373 y[1] (numeric) = -0.3273082736053919 absolute error = 4.54081217071689e-14 relative error = 1.387319703439802e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.3240515018677908 y[1] (numeric) = -0.3240515018677451 absolute error = 4.568567746332519e-14 relative error = 1.409827672453264e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.3208271355503748 y[1] (numeric) = -0.3208271355503289 absolute error = 4.596323321948148e-14 relative error = 1.432647931747797e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.3176348522138708 y[1] (numeric) = -0.3176348522138245 absolute error = 4.624078897563777e-14 relative error = 1.45578448502568e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.3144743326272847 y[1] (numeric) = -0.3144743326272381 absolute error = 4.662936703425657e-14 relative error = 1.482771793955017e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.3113452607360241 y[1] (numeric) = -0.3113452607359773 absolute error = 4.679590048795035e-14 relative error = 1.503022733582784e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.3082473236302924 y[1] (numeric) = -0.3082473236302454 absolute error = 4.701794509287538e-14 relative error = 1.525331819239672e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.3051802115137973 y[1] (numeric) = -0.30518021151375 absolute error = 4.735101200026293e-14 relative error = 1.551575436866822e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.3021436176727713 y[1] (numeric) = -0.3021436176727236 absolute error = 4.773959005888173e-14 relative error = 1.580029736407831e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.2991372384452998 y[1] (numeric) = -0.2991372384452517 absolute error = 4.807265696626928e-14 relative error = 1.607043550181729e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.2961607731909546 y[1] (numeric) = -0.2961607731909063 absolute error = 4.829470157119431e-14 relative error = 1.630692041044054e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.29321392426073 y[1] (numeric) = -0.2932139242606814 absolute error = 4.85722573273506e-14 relative error = 1.656546749947641e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.2902963969672772 y[1] (numeric) = -0.2902963969672283 absolute error = 4.890532423473815e-14 relative error = 1.684668660915239e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.2874078995554356 y[1] (numeric) = -0.2874078995553864 absolute error = 4.923839114212569e-14 relative error = 1.713188510764247e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.2845481431730569 y[1] (numeric) = -0.2845481431730074 absolute error = 4.951594689828198e-14 relative error = 1.740160605025186e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.2817168418421198 y[1] (numeric) = -0.2817168418420699 absolute error = 4.984901380566953e-14 relative error = 1.769472264409595e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.2789137124301316 y[1] (numeric) = -0.2789137124300816 absolute error = 5.007105841059456e-14 relative error = 1.79521680645721e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.2761384746218154 y[1] (numeric) = -0.2761384746217651 absolute error = 5.029310301551959e-14 relative error = 1.821300095337977e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.2733908508910775 y[1] (numeric) = -0.2733908508910269 absolute error = 5.062616992290714e-14 relative error = 1.851787276637039e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.2706705664732552 y[1] (numeric) = -0.2706705664732043 absolute error = 5.084821452783217e-14 relative error = 1.878601548382855e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.2679773493376397 y[1] (numeric) = -0.2679773493375886 absolute error = 5.112577028398846e-14 relative error = 1.907839241277524e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.2653109301602732 y[1] (numeric) = -0.2653109301602218 absolute error = 5.140332604014475e-14 relative error = 1.937474871807664e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.2626710422970159 y[1] (numeric) = -0.2626710422969642 absolute error = 5.173639294753229e-14 relative error = 1.969626818971207e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.2600574217568816 y[1] (numeric) = -0.2600574217568296 absolute error = 5.206945985491984e-14 relative error = 2.002229334704307e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.2574698071756382 y[1] (numeric) = -0.2574698071755859 absolute error = 5.229150445984487e-14 relative error = 2.030976176720137e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.2549079397896712 y[1] (numeric) = -0.2549079397896187 absolute error = 5.25135490647699e-14 relative error = 2.060098602974066e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.2523715634101072 y[1] (numeric) = -0.2523715634100546 absolute error = 5.268008251846368e-14 relative error = 2.087401678962452e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.2498604243971946 y[1] (numeric) = -0.2498604243971417 absolute error = 5.287437154777308e-14 relative error = 2.116156317085274e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.2473742716349394 y[1] (numeric) = -0.2473742716348862 absolute error = 5.320743845516063e-14 relative error = 2.150888130099523e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.2449128565059935 y[1] (numeric) = -0.24491285650594 absolute error = 5.348499421131692e-14 relative error = 2.183837752511291e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.242475932866793 y[1] (numeric) = -0.2424759328667392 absolute error = 5.373479439185758e-14 relative error = 2.216087747618953e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.2400632570229431 y[1] (numeric) = -0.2400632570228891 absolute error = 5.398459457239824e-14 relative error = 2.248765397998365e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.2376745877048489 y[1] (numeric) = -0.2376745877047945 absolute error = 5.434541705540141e-14 relative error = 2.286547231666564e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.2353096860435879 y[1] (numeric) = -0.2353096860435334 absolute error = 5.453970608471082e-14 relative error = 2.317784150823612e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.2329683155470234 y[1] (numeric) = -0.2329683155469686 absolute error = 5.484501741648273e-14 relative error = 2.354183541556e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.2306502420761545 y[1] (numeric) = -0.2306502420760994 absolute error = 5.512257317263902e-14 relative error = 2.389877100343083e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.2283552338217024 y[1] (numeric) = -0.228355233821647 absolute error = 5.537237335317968e-14 relative error = 2.424834869185171e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.2260830612809291 y[1] (numeric) = -0.2260830612808734 absolute error = 5.56776846849516e-14 relative error = 2.462709252497556e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.2238334972346871 y[1] (numeric) = -0.2238334972346311 absolute error = 5.592748486549226e-14 relative error = 2.498619981210984e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.2216063167246971 y[1] (numeric) = -0.2216063167246409 absolute error = 5.617728504603292e-14 relative error = 2.535003779509693e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.219401297031052 y[1] (numeric) = -0.2194012970309956 absolute error = 5.645484080218921e-14 relative error = 2.573131588834642e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.2172182176499451 y[1] (numeric) = -0.2172182176498884 absolute error = 5.67323965583455e-14 relative error = 2.611769729635282e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.215056860271619 y[1] (numeric) = -0.215056860271562 absolute error = 5.698219673888616e-14 relative error = 2.649633992931779e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.2129170087585347 y[1] (numeric) = -0.2129170087584775 absolute error = 5.720424134381119e-14 relative error = 2.686691949945881e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.2107984491237577 y[1] (numeric) = -0.2107984491237003 absolute error = 5.742628594873622e-14 relative error = 2.724227155723608e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.208700969509559 y[1] (numeric) = -0.2087009695095013 absolute error = 5.764833055366125e-14 relative error = 2.762245460053832e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.2066243601662293 y[1] (numeric) = -0.2066243601661714 absolute error = 5.784261958297066e-14 relative error = 2.799409495397168e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.2045684134311038 y[1] (numeric) = -0.2045684134310457 absolute error = 5.806466418789569e-14 relative error = 2.838398324257972e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.2025329237077956 y[1] (numeric) = -0.2025329237077373 absolute error = 5.825895321720509e-14 relative error = 2.876517661951012e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.2005176874456362 y[1] (numeric) = -0.2005176874455777 absolute error = 5.845324224651449e-14 relative error = 2.91511651621068e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.19852250311932 y[1] (numeric) = -0.1985225031192613 absolute error = 5.870304242705515e-14 relative error = 2.956996889756738e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1965471712087516 y[1] (numeric) = -0.1965471712086927 absolute error = 5.892508703198018e-14 relative error = 2.998012470471843e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.194591494179094 y[1] (numeric) = -0.1945914941790349 absolute error = 5.917488721252084e-14 relative error = 3.040980154973202e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1926552764610145 y[1] (numeric) = -0.192655276460955 absolute error = 5.94246873930615e-14 relative error = 3.084508687468346e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1907383244311276 y[1] (numeric) = -0.1907383244310679 absolute error = 5.967448757360216e-14 relative error = 3.128605001201509e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.188840446392633 y[1] (numeric) = -0.1888404463925731 absolute error = 5.98965321785272e-14 relative error = 3.171806322359121e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1869614525561452 y[1] (numeric) = -0.1869614525560851 absolute error = 6.00908212078366e-14 relative error = 3.214075435672555e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1851011550207147 y[1] (numeric) = -0.1851011550206544 absolute error = 6.0285110237146e-14 relative error = 3.256873801268257e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1832593677550378 y[1] (numeric) = -0.1832593677549773 absolute error = 6.050715484207103e-14 relative error = 3.301722339397719e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.181435906578853 y[1] (numeric) = -0.1814359065787923 absolute error = 6.072919944699606e-14 relative error = 3.347143384796484e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1796305891445232 y[1] (numeric) = -0.1796305891444623 absolute error = 6.092348847630547e-14 relative error = 3.391598767584568e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1778432349188005 y[1] (numeric) = -0.1778432349187394 absolute error = 6.109002192999924e-14 relative error = 3.435048960838554e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1760736651647729 y[1] (numeric) = -0.1760736651647116 absolute error = 6.122879980807738e-14 relative error = 3.477453584599287e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1743217029239902 y[1] (numeric) = -0.1743217029239288 absolute error = 6.145084441300241e-14 relative error = 3.525140208147055e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1725871729987686 y[1] (numeric) = -0.172587172998707 absolute error = 6.161737786669619e-14 relative error = 3.570217693242813e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1708699019346699 y[1] (numeric) = -0.1708699019346081 absolute error = 6.178391132038996e-14 relative error = 3.61584519103969e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1691697180031568 y[1] (numeric) = -0.1691697180030948 absolute error = 6.197820034969936e-14 relative error = 3.66366989797446e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1674864511844192 y[1] (numeric) = -0.1674864511843571 absolute error = 6.217248937900877e-14 relative error = 3.712090675952688e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1658199331503726 y[1] (numeric) = -0.1658199331503103 absolute error = 6.231126725708691e-14 relative error = 3.75776699901214e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1641699972478247 y[1] (numeric) = -0.1641699972477622 absolute error = 6.253331186201194e-14 relative error = 3.809058470508107e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1625364784818104 y[1] (numeric) = -0.1625364784817477 absolute error = 6.272760089132134e-14 relative error = 3.859293709155957e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1609192134990918 y[1] (numeric) = -0.1609192134990289 absolute error = 6.289413434501512e-14 relative error = 3.90842914139461e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1593180405718229 y[1] (numeric) = -0.1593180405717598 absolute error = 6.308842337432452e-14 relative error = 3.959904549910864e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1577327995813766 y[1] (numeric) = -0.1577327995813134 absolute error = 6.325495682801829e-14 relative error = 4.010260199267188e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.156163332002333 y[1] (numeric) = -0.1561633320022695 absolute error = 6.34492458573277e-14 relative error = 4.063005383131798e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.154609480886626 y[1] (numeric) = -0.1546094808865624 absolute error = 6.361577931102147e-14 relative error = 4.114610497765686e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1530710908478495 y[1] (numeric) = -0.1530710908477857 absolute error = 6.381006834033087e-14 relative error = 4.168655752493277e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1515480080457173 y[1] (numeric) = -0.1515480080456534 absolute error = 6.397660179402465e-14 relative error = 4.221540264305215e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1500400801706802 y[1] (numeric) = -0.1500400801706161 absolute error = 6.414313524771842e-14 relative error = 4.275066713824165e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1485471564286939 y[1] (numeric) = -0.1485471564286296 absolute error = 6.430966870141219e-14 relative error = 4.329242662567043e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1470690875261403 y[1] (numeric) = -0.1470690875260758 absolute error = 6.447620215510597e-14 relative error = 4.384075759200306e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1456057256548972 y[1] (numeric) = -0.1456057256548325 absolute error = 6.464273560879974e-14 relative error = 4.439573740527944e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1441569244775581 y[1] (numeric) = -0.1441569244774933 absolute error = 6.480926906249351e-14 relative error = 4.4957444324905e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1427225391127979 y[1] (numeric) = -0.1427225391127329 absolute error = 6.497580251618729e-14 relative error = 4.55259575117529e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1413024261208849 y[1] (numeric) = -0.1413024261208197 absolute error = 6.514233596988106e-14 relative error = 4.610135703837915e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1398964434893363 y[1] (numeric) = -0.139896443489271 absolute error = 6.530886942357483e-14 relative error = 4.668372389935205e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1385044506187174 y[1] (numeric) = -0.138504450618652 absolute error = 6.547540287726861e-14 relative error = 4.727314002169709e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1371263083085812 y[1] (numeric) = -0.1371263083085156 absolute error = 6.564193633096238e-14 relative error = 4.786968827545879e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1357618787435481 y[1] (numeric) = -0.1357618787434824 absolute error = 6.578071420904053e-14 relative error = 4.845300817713282e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1344110254795247 y[1] (numeric) = -0.1344110254794587 absolute error = 6.59472476627343e-14 relative error = 4.906386766075249e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1330736134300588 y[1] (numeric) = -0.1330736134299927 absolute error = 6.608602554081244e-14 relative error = 4.966125427678879e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1317495088528309 y[1] (numeric) = -0.1317495088527647 absolute error = 6.622480341889059e-14 relative error = 5.026569282536466e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1304385793362799 y[1] (numeric) = -0.1304385793362135 absolute error = 6.636358129696873e-14 relative error = 5.08772647131327e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1291406937863617 y[1] (numeric) = -0.1291406937862952 absolute error = 6.650235917504688e-14 relative error = 5.149605227075995e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1278557224134398 y[1] (numeric) = -0.1278557224133732 absolute error = 6.661338147750939e-14 relative error = 5.210043025067387e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.126583536719306 y[1] (numeric) = -0.1265835367192392 absolute error = 6.675215935558754e-14 relative error = 5.273368171376647e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1253240094843307 y[1] (numeric) = -0.1253240094842638 absolute error = 6.689093723366568e-14 relative error = 5.337439929419834e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1240770147547409 y[1] (numeric) = -0.1240770147546739 absolute error = 6.704359289955164e-14 relative error = 5.403385391893459e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1228424278300245 y[1] (numeric) = -0.1228424278299573 absolute error = 6.71962485654376e-14 relative error = 5.470117267497855e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.12162012525046 y[1] (numeric) = -0.1216201252503927 absolute error = 6.732114865570793e-14 relative error = 5.535362549337062e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1204099847847711 y[1] (numeric) = -0.1204099847847036 absolute error = 6.744604874597826e-14 relative error = 5.601366769253884e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1192118854179026 y[1] (numeric) = -0.119211885417835 absolute error = 6.755707104844078e-14 relative error = 5.666974464133038e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1180257073389195 y[1] (numeric) = -0.1180257073388518 absolute error = 6.766809335090329e-14 relative error = 5.733335124744426e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1168513319290253 y[1] (numeric) = -0.1168513319289575 absolute error = 6.783462680459706e-14 relative error = 5.805207838435195e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1156886417497005 y[1] (numeric) = -0.1156886417496325 absolute error = 6.794564910705958e-14 relative error = 5.873147793891831e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1145375205309582 y[1] (numeric) = -0.1145375205308901 absolute error = 6.808442698513772e-14 relative error = 5.944290278811761e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1133978531597172 y[1] (numeric) = -0.113397853159649 absolute error = 6.820932707540805e-14 relative error = 6.015045715136903e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1122695256682907 y[1] (numeric) = -0.1122695256682224 absolute error = 6.832034937787057e-14 relative error = 6.085386837718413e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1111524252229893 y[1] (numeric) = -0.1111524252229208 absolute error = 6.84452494681409e-14 relative error = 6.157782822176751e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1100464401128375 y[1] (numeric) = -0.1100464401127689 absolute error = 6.857014955841123e-14 relative error = 6.231019330393784e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1089514597384027 y[1] (numeric) = -0.108951459738334 absolute error = 6.868117186087375e-14 relative error = 6.303832185982668e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1078673746007348 y[1] (numeric) = -0.107867374600666 absolute error = 6.879219416333626e-14 relative error = 6.377479234844344e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1067940762904169 y[1] (numeric) = -0.106794076290348 absolute error = 6.891709425360659e-14 relative error = 6.453269380428251e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1057314574767233 y[1] (numeric) = -0.1057314574766543 absolute error = 6.904199434387692e-14 relative error = 6.529938770500393e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1046794118968873 y[1] (numeric) = -0.1046794118968181 absolute error = 6.913913885853162e-14 relative error = 6.604845939203021e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.103637834345474 y[1] (numeric) = -0.1036378343454048 absolute error = 6.923628337318632e-14 relative error = 6.680599204957233e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1026066206638605 y[1] (numeric) = -0.1026066206637912 absolute error = 6.934730567564884e-14 relative error = 6.758560532154232e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1015856677298191 y[1] (numeric) = -0.1015856677297497 absolute error = 6.944445019030354e-14 relative error = 6.836048011713667e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.1005748734472058 y[1] (numeric) = -0.1005748734471362 absolute error = 6.956935028057387e-14 relative error = 6.917170054118192e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.09957413673574982 y[1] (numeric) = -0.09957413673568012 absolute error = 6.96942503708442e-14 relative error = 6.999232195785844e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.09858335752094614 y[1] (numeric) = -0.09858335752087634 absolute error = 6.980527267330672e-14 relative error = 7.08083741806776e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.09760243672404763 y[1] (numeric) = -0.09760243672397773 absolute error = 6.990241718796142e-14 relative error = 7.161954100141704e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.09663127625215716 y[1] (numeric) = -0.09663127625208713 absolute error = 7.002731727823175e-14 relative error = 7.246858366591064e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.09566977898841823 y[1] (numeric) = -0.09566977898834808 absolute error = 7.015221736850208e-14 relative error = 7.332745837846526e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.09471784878230323 y[1] (numeric) = -0.09471784878223297 absolute error = 7.026323967096459e-14 relative error = 7.418162529478008e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.09377539043999825 y[1] (numeric) = -0.09377539043992789 absolute error = 7.03603841856193e-14 relative error = 7.503075578303144e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.09284230971488369 y[1] (numeric) = -0.09284230971481323 absolute error = 7.0457528700274e-14 relative error = 7.58894612991073e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.09191851329810947 y[1] (numeric) = -0.09191851329803892 absolute error = 7.05546732149287e-14 relative error = 7.675784853711273e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.09100390880926408 y[1] (numeric) = -0.09100390880919342 absolute error = 7.066569551739121e-14 relative error = 7.765127502984524e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.09009840478713645 y[1] (numeric) = -0.09009840478706568 absolute error = 7.076284003204591e-14 relative error = 7.853950377837199e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.08920191068056979 y[1] (numeric) = -0.08920191068049892 absolute error = 7.087386233450843e-14 relative error = 7.945330071270141e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.08831433683940636 y[1] (numeric) = -0.08831433683933537 absolute error = 7.098488463697095e-14 relative error = 8.037753232077386e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.08743559450552238 y[1] (numeric) = -0.08743559450545131 absolute error = 7.106815136381783e-14 relative error = 8.128057202073374e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.08656559580395221 y[1] (numeric) = -0.08656559580388101 absolute error = 7.119305145408816e-14 relative error = 8.224173910305115e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.08570425373410066 y[1] (numeric) = -0.08570425373402937 absolute error = 7.129019596874286e-14 relative error = 8.318163085571257e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.08485148216104296 y[1] (numeric) = -0.0848514821609716 absolute error = 7.135958490778194e-14 relative error = 8.409939707634779e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.08400719580691118 y[1] (numeric) = -0.08400719580683973 absolute error = 7.145672942243664e-14 relative error = 8.506024839429049e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.08317131024236631 y[1] (numeric) = -0.08317131024229477 absolute error = 7.153999614928352e-14 relative error = 8.601523282585255e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.08234374187815534 y[1] (numeric) = -0.08234374187808369 absolute error = 7.165101845174604e-14 relative error = 8.701452814443215e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.08152440795675218 y[1] (numeric) = -0.08152440795668045 absolute error = 7.173428517859293e-14 relative error = 8.799117586557291e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.08071322654408195 y[1] (numeric) = -0.08071322654401014 absolute error = 7.1803674117632e-14 relative error = 8.89614716101283e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.07991011652132735 y[1] (numeric) = -0.07991011652125546 absolute error = 7.188694084447889e-14 relative error = 8.995974974619497e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.07911499757681688 y[1] (numeric) = -0.07911499757674489 absolute error = 7.198408535913359e-14 relative error = 9.098664926234812e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.07832779019799346 y[1] (numeric) = -0.0783277901979214 absolute error = 7.206735208598047e-14 relative error = 9.200738576156925e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.07754841566346324 y[1] (numeric) = -0.07754841566339106 absolute error = 7.217837438844299e-14 relative error = 9.307524050739526e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.07677679603512323 y[1] (numeric) = -0.07677679603505097 absolute error = 7.226164111528988e-14 relative error = 9.411911521058029e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.07601285415036764 y[1] (numeric) = -0.07601285415029525 absolute error = 7.238654120556021e-14 relative error = 9.522934247721589e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.07525651361437131 y[1] (numeric) = -0.07525651361429885 absolute error = 7.246980793240709e-14 relative error = 9.629705716073451e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.07450769879245041 y[1] (numeric) = -0.07450769879237784 absolute error = 7.256695244706179e-14 relative error = 9.739524052300315e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.0737663348024987 y[1] (numeric) = -0.07376633480242606 absolute error = 7.263634138610087e-14 relative error = 9.846814482592464e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.07303234750749939 y[1] (numeric) = -0.07303234750742667 absolute error = 7.271960811294775e-14 relative error = 9.957177962200994e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.07230566350811131 y[1] (numeric) = -0.07230566350803852 absolute error = 7.278899705198683e-14 relative error = 1.006684587630142e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.07158621013532897 y[1] (numeric) = -0.07158621013525612 absolute error = 7.284450820321808e-14 relative error = 1.0175773806926e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.07087391544321553 y[1] (numeric) = -0.07087391544314262 absolute error = 7.291389714225716e-14 relative error = 1.028783251020978e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.07016870820170822 y[1] (numeric) = -0.07016870820163522 absolute error = 7.299716386910404e-14 relative error = 1.040309359255483e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.06947051788949517 y[1] (numeric) = -0.06947051788942211 absolute error = 7.30526750203353e-14 relative error = 1.051563702699585e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.06877927468696338 y[1] (numeric) = -0.06877927468689025 absolute error = 7.312206395937437e-14 relative error = 1.063140957682041e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.06809490946921654 y[1] (numeric) = -0.06809490946914333 absolute error = 7.320533068622126e-14 relative error = 1.075048505928552e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.06741735379916255 y[1] (numeric) = -0.06741735379908928 absolute error = 7.327471962526033e-14 relative error = 1.08688216751353e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.0667465399206698 y[1] (numeric) = -0.06674653992059647 absolute error = 7.333023077649159e-14 relative error = 1.098637185742462e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.06608240075179142 y[1] (numeric) = -0.06608240075171801 absolute error = 7.341349750333848e-14 relative error = 1.110938716937404e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.06542486987805707 y[1] (numeric) = -0.06542486987798357 absolute error = 7.349676423018536e-14 relative error = 1.123376544228108e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.06477388154583141 y[1] (numeric) = -0.06477388154575785 absolute error = 7.356615316922444e-14 relative error = 1.135737914936778e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.06412937065573877 y[1] (numeric) = -0.06412937065566514 absolute error = 7.363554210826351e-14 relative error = 1.148234285715293e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.06349127275615302 y[1] (numeric) = -0.06349127275607931 absolute error = 7.370493104730258e-14 relative error = 1.16086712153931e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.06285952403675245 y[1] (numeric) = -0.06285952403667869 absolute error = 7.376044219853384e-14 relative error = 1.17341712857081e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.06223406132213866 y[1] (numeric) = -0.06223406132206485 absolute error = 7.380901445586119e-14 relative error = 1.185990643834214e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.06161482206551898 y[1] (numeric) = -0.0616148220654451 absolute error = 7.387840339490026e-14 relative error = 1.19903622080318e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.0610017443424517 y[1] (numeric) = -0.06100174434237776 absolute error = 7.394085344003543e-14 relative error = 1.212110477119247e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.06039476684465363 y[1] (numeric) = -0.06039476684457961 absolute error = 7.402412016688231e-14 relative error = 1.225671097585091e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.05979382887386916 y[1] (numeric) = -0.05979382887379507 absolute error = 7.409350910592138e-14 relative error = 1.239149766813167e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.05919887033580043 y[1] (numeric) = -0.05919887033572627 absolute error = 7.415595915105655e-14 relative error = 1.252658348553162e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.05860983173409784 y[1] (numeric) = -0.05860983173402362 absolute error = 7.421840919619171e-14 relative error = 1.266313295914364e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.05802665416441034 y[1] (numeric) = -0.05802665416433606 absolute error = 7.428085924132688e-14 relative error = 1.280116186448775e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.05744927930849499 y[1] (numeric) = -0.05744927930842064 absolute error = 7.435024818036595e-14 relative error = 1.294189397592179e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.05687764942838505 y[1] (numeric) = -0.05687764942831065 absolute error = 7.440575933159721e-14 relative error = 1.308172192053786e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.05631170736061614 y[1] (numeric) = -0.05631170736054168 absolute error = 7.446820937673237e-14 relative error = 1.32242854758147e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.05575139651050988 y[1] (numeric) = -0.05575139651043535 absolute error = 7.453065942186754e-14 relative error = 1.336839327564064e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.05519666084651431 y[1] (numeric) = -0.05519666084643973 absolute error = 7.45861705730988e-14 relative error = 1.351280483805008e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.05464744489460077 y[1] (numeric) = -0.05464744489452613 absolute error = 7.464168172433006e-14 relative error = 1.365876883508322e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.05410369373271637 y[1] (numeric) = -0.05410369373264167 absolute error = 7.470413176946522e-14 relative error = 1.380758440237359e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.05356535298529181 y[1] (numeric) = -0.05356535298521705 absolute error = 7.475964292069648e-14 relative error = 1.395671618951606e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.05303236881780372 y[1] (numeric) = -0.0530323688177289 absolute error = 7.482209296583164e-14 relative error = 1.410875935466658e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.05250468793139119 y[1] (numeric) = -0.05250468793131632 absolute error = 7.487066522315899e-14 relative error = 1.425980577600877e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.05198225755752586 y[1] (numeric) = -0.05198225755745092 absolute error = 7.493311526829416e-14 relative error = 1.441513292980203e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.05146502545273497 y[1] (numeric) = -0.05146502545265998 absolute error = 7.499556531342932e-14 relative error = 1.457214188736865e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.05095293989337701 y[1] (numeric) = -0.05095293989330198 absolute error = 7.503719867685277e-14 relative error = 1.472676529241962e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.05044594967046932 y[1] (numeric) = -0.05044594967039423 absolute error = 7.508577093418012e-14 relative error = 1.488440031849272e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.0499440040845671 y[1] (numeric) = -0.04994400408449196 absolute error = 7.514128208541138e-14 relative error = 1.504510570641859e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.04944705294069349 y[1] (numeric) = -0.04944705294061828 absolute error = 7.521067102445045e-14 relative error = 1.521034451024972e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.04895504654331995 y[1] (numeric) = -0.04895504654324469 absolute error = 7.52592432817778e-14 relative error = 1.537313282200263e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.04846793569139676 y[1] (numeric) = -0.04846793569132143 absolute error = 7.532169332691296e-14 relative error = 1.554052019184363e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.04798567167343278 y[1] (numeric) = -0.0479856716733574 absolute error = 7.538414337204813e-14 relative error = 1.570971932727671e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.04750820626262434 y[1] (numeric) = -0.0475082062625489 absolute error = 7.543271562937548e-14 relative error = 1.587782860341749e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.04703549171203247 y[1] (numeric) = -0.04703549171195699 absolute error = 7.548128788670283e-14 relative error = 1.604773015849932e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.04656748074980817 y[1] (numeric) = -0.04656748074973263 absolute error = 7.553679903793409e-14 relative error = 1.622093311076212e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.04610412657446521 y[1] (numeric) = -0.04610412657438964 absolute error = 7.557149350745362e-14 relative error = 1.639148144047239e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.04564538285019993 y[1] (numeric) = -0.04564538285012431 absolute error = 7.562006576478097e-14 relative error = 1.656685978797738e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.04519120370225762 y[1] (numeric) = -0.04519120370218195 absolute error = 7.566863802210833e-14 relative error = 1.674410766321946e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.04474154371234499 y[1] (numeric) = -0.04474154371226927 absolute error = 7.571721027943568e-14 relative error = 1.692324493009032e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.04429635791408834 y[1] (numeric) = -0.04429635791401258 absolute error = 7.576578253676303e-14 relative error = 1.710429166291929e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.04385560178853685 y[1] (numeric) = -0.04385560178846105 absolute error = 7.580741590018647e-14 relative error = 1.728568593488125e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.04341923125971068 y[1] (numeric) = -0.04341923125963482 absolute error = 7.585598815751382e-14 relative error = 1.747059677399256e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.04298720269019329 y[1] (numeric) = -0.04298720269011738 absolute error = 7.590456041484117e-14 relative error = 1.765747842721512e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.04255947287676769 y[1] (numeric) = -0.04255947287669174 absolute error = 7.595313267216852e-14 relative error = 1.784635183149313e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.04213599904609613 y[1] (numeric) = -0.04213599904602013 absolute error = 7.600864382339978e-14 relative error = 1.803888493073286e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.04171673885044262 y[1] (numeric) = -0.04171673885036657 absolute error = 7.605027718682322e-14 relative error = 1.823015875221424e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.04130165036343823 y[1] (numeric) = -0.04130165036336213 absolute error = 7.609191055024667e-14 relative error = 1.842345520836767e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.04089069207588833 y[1] (numeric) = -0.04089069207581219 absolute error = 7.614048280757402e-14 relative error = 1.862049257231113e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.04048382289162171 y[1] (numeric) = -0.04048382289154552 absolute error = 7.618905506490137e-14 relative error = 1.881962957620512e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.04008100212338088 y[1] (numeric) = -0.04008100212330465 absolute error = 7.623068842832481e-14 relative error = 1.90191573039179e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.03968218948875334 y[1] (numeric) = -0.03968218948867706 absolute error = 7.627926068565216e-14 relative error = 1.922254332948819e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.03928734510614327 y[1] (numeric) = -0.03928734510606694 absolute error = 7.632783294297951e-14 relative error = 1.942809643582771e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.03889642949078338 y[1] (numeric) = -0.038896429490707 absolute error = 7.637640520030686e-14 relative error = 1.963583963880399e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.03850940355078636 y[1] (numeric) = -0.03850940355070993 absolute error = 7.642497745763421e-14 relative error = 1.984579619802333e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.0381262285832357 y[1] (numeric) = -0.03812622858315923 absolute error = 7.647354971496156e-14 relative error = 2.005798961940531e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.03774686627031532 y[1] (numeric) = -0.03774686627023881 absolute error = 7.65082441844811e-14 relative error = 2.026876711740394e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.03737127867547781 y[1] (numeric) = -0.03737127867540124 absolute error = 7.656375533571236e-14 relative error = 2.048732557442616e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.03699942823965068 y[1] (numeric) = -0.03699942823957406 absolute error = 7.661232759303971e-14 relative error = 2.070635445953665e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.03663127777748046 y[1] (numeric) = -0.03663127777740381 absolute error = 7.664702206255924e-14 relative error = 2.092392805081972e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.036266790473614 y[1] (numeric) = -0.03626679047353748 absolute error = 7.652212197228891e-14 relative error = 2.109977777823014e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.03590592987901733 y[1] (numeric) = -0.03590592987894093 absolute error = 7.640416077592249e-14 relative error = 2.127898122492894e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.03554865990733028 y[1] (numeric) = -0.035548659907254 absolute error = 7.628619957955607e-14 relative error = 2.145965551962355e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.03519494483125794 y[1] (numeric) = -0.03519494483118178 absolute error = 7.616129948928574e-14 relative error = 2.163984056643386e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.03484474927899796 y[1] (numeric) = -0.03484474927892191 absolute error = 7.605027718682322e-14 relative error = 2.182546259061796e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.03449803823070325 y[1] (numeric) = -0.03449803823062732 absolute error = 7.592537709655289e-14 relative error = 2.200860715290741e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.03415477701498008 y[1] (numeric) = -0.03415477701490426 absolute error = 7.582129368799428e-14 relative error = 2.219932329077702e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.03381493130542083 y[1] (numeric) = -0.03381493130534512 absolute error = 7.570333249162786e-14 relative error = 2.238754584708914e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.03347846711717132 y[1] (numeric) = -0.03347846711709573 absolute error = 7.559231018916535e-14 relative error = 2.257938212182767e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.03314535080353233 y[1] (numeric) = -0.03314535080345685 absolute error = 7.548128788670283e-14 relative error = 2.277281309650785e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.03281554905259494 y[1] (numeric) = -0.03281554905251955 absolute error = 7.539108226595204e-14 relative error = 2.297419499064891e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.03248902888390918 y[1] (numeric) = -0.03248902888383389 absolute error = 7.528699885739343e-14 relative error = 2.317305301011345e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.0321657576451861 y[1] (numeric) = -0.03216575764511091 absolute error = 7.518985434273873e-14 relative error = 2.337574484398678e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.03184570300903242 y[1] (numeric) = -0.03184570300895734 absolute error = 7.50718931463723e-14 relative error = 2.357363350561915e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.03152883296971782 y[1] (numeric) = -0.03152883296964286 absolute error = 7.496087084390979e-14 relative error = 2.377533951729412e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.03121511583997431 y[1] (numeric) = -0.03121511583989945 absolute error = 7.486372632925509e-14 relative error = 2.398316466709505e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.03090452024782749 y[1] (numeric) = -0.03090452024775273 absolute error = 7.475617347374452e-14 relative error = 2.418939782085752e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.0305970151334593 y[1] (numeric) = -0.03059701513338465 absolute error = 7.465209006518592e-14 relative error = 2.439848780659336e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.03029256974610205 y[1] (numeric) = -0.0302925697460275 absolute error = 7.455147610357926e-14 relative error = 2.461048261287648e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.02999115364096332 y[1] (numeric) = -0.02999115364088886 absolute error = 7.445780103587651e-14 relative error = 2.482658784228246e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.02969273667618139 y[1] (numeric) = -0.02969273667610703 absolute error = 7.435718707426986e-14 relative error = 2.50422141566752e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.02939728900981111 y[1] (numeric) = -0.02939728900973685 absolute error = 7.42565731126632e-14 relative error = 2.525966700122609e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.02910478109683964 y[1] (numeric) = -0.02910478109676547 absolute error = 7.416636749191241e-14 relative error = 2.548253747215636e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.02881518368623192 y[1] (numeric) = -0.02881518368615785 absolute error = 7.407269242420966e-14 relative error = 2.57061323053797e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.02852846781800555 y[1] (numeric) = -0.02852846781793158 absolute error = 7.397554790955496e-14 relative error = 2.593043144885116e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.0282446048203348 y[1] (numeric) = -0.02824460482026091 absolute error = 7.388187284185221e-14 relative error = 2.615787096750623e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.02796356630668332 y[1] (numeric) = -0.02796356630660953 absolute error = 7.378819777414947e-14 relative error = 2.638726297100167e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.02768532417296557 y[1] (numeric) = -0.02768532417289187 absolute error = 7.369452270644672e-14 relative error = 2.66186237322114e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.02740985059473629 y[1] (numeric) = -0.02740985059466269 absolute error = 7.360084763874397e-14 relative error = 2.685196965388715e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.02713711802440811 y[1] (numeric) = -0.0271371180243346 absolute error = 7.350717257104122e-14 relative error = 2.708731726962539e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.02686709918849671 y[1] (numeric) = -0.0268670991884233 absolute error = 7.341696695029043e-14 relative error = 2.732597458147781e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.02659976708489349 y[1] (numeric) = -0.02659976708482016 absolute error = 7.333023077649159e-14 relative error = 2.756799732210333e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.0263350949801653 y[1] (numeric) = -0.02633509498009206 absolute error = 7.32400251557408e-14 relative error = 2.781080729380422e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.02607305640688112 y[1] (numeric) = -0.02607305640680797 absolute error = 7.315675842889391e-14 relative error = 2.805837462522675e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.02581362516096525 y[1] (numeric) = -0.02581362516089218 absolute error = 7.307002225509507e-14 relative error = 2.83067650511908e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.0255567752990769 y[1] (numeric) = -0.02555677529900393 absolute error = 7.297287774044037e-14 relative error = 2.855324151285867e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.02530248113601585 y[1] (numeric) = -0.02530248113594295 absolute error = 7.289308046054543e-14 relative error = 2.88086690268444e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.02505071724215386 y[1] (numeric) = -0.02505071724208105 absolute error = 7.280981373369855e-14 relative error = 2.906496170543912e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.02480145844089177 y[1] (numeric) = -0.02480145844081904 absolute error = 7.272654700685166e-14 relative error = 2.93234961081735e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.02455467980614172 y[1] (numeric) = -0.02455467980606907 absolute error = 7.264674972695673e-14 relative error = 2.958570435472998e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.02431035665983458 y[1] (numeric) = -0.02431035665976201 absolute error = 7.256695244706179e-14 relative error = 2.985022122976766e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.02406846456945212 y[1] (numeric) = -0.02406846456937963 absolute error = 7.248715516716686e-14 relative error = 3.011706665292148e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.02382897934558374 y[1] (numeric) = -0.02382897934551132 absolute error = 7.241429678117584e-14 relative error = 3.038917266701836e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.02359187703950746 y[1] (numeric) = -0.02359187703943513 absolute error = 7.233103005432895e-14 relative error = 3.065929427031256e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.0233571339407951 y[1] (numeric) = -0.02335713394072285 absolute error = 7.225123277443402e-14 relative error = 3.093326131432653e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.02312472657494116 y[1] (numeric) = -0.02312472657486898 absolute error = 7.217490494149104e-14 relative error = 3.121113873826406e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.02289463170101539 y[1] (numeric) = -0.02289463170094329 absolute error = 7.209857710854806e-14 relative error = 3.149147715066779e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.02266682630933864 y[1] (numeric) = -0.02266682630926662 absolute error = 7.201877982865312e-14 relative error = 3.17727673233997e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.02244128761918191 y[1] (numeric) = -0.02244128761910997 absolute error = 7.194245199571014e-14 relative error = 3.205807670956305e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.02221799307648824 y[1] (numeric) = -0.02221799307641638 absolute error = 7.186612416276716e-14 relative error = 3.234591167409179e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.02199692035161728 y[1] (numeric) = -0.02199692035154549 absolute error = 7.178632688287223e-14 relative error = 3.263471692190506e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.02177804733711231 y[1] (numeric) = -0.02177804733704059 absolute error = 7.171346849688121e-14 relative error = 3.292924631248881e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.02156135214548948 y[1] (numeric) = -0.02156135214541784 absolute error = 7.164061011089018e-14 relative error = 3.32263995446487e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.02134681310704906 y[1] (numeric) = -0.02134681310697749 absolute error = 7.157122117185111e-14 relative error = 3.35278248855878e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.02113440876770841 y[1] (numeric) = -0.02113440876763691 absolute error = 7.149836278586008e-14 relative error = 3.383031130499546e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.0209241178868566 y[1] (numeric) = -0.02092411788678517 absolute error = 7.142897384682101e-14 relative error = 3.413714940484484e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.0207159194352303 y[1] (numeric) = -0.02071591943515895 absolute error = 7.135264601387803e-14 relative error = 3.444338844672901e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.02050979259281085 y[1] (numeric) = -0.02050979259273956 absolute error = 7.128672652179091e-14 relative error = 3.47574097588771e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.02030571674674223 y[1] (numeric) = -0.02030571674667102 absolute error = 7.121386813579988e-14 relative error = 3.50708468083133e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.02010367148926978 y[1] (numeric) = -0.02010367148919863 absolute error = 7.114794864371277e-14 relative error = 3.539052490073148e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.01990363661569937 y[1] (numeric) = -0.01990363661562829 absolute error = 7.107855970467369e-14 relative error = 3.571134314651281e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.01970559212237695 y[1] (numeric) = -0.01970559212230593 absolute error = 7.101957910649048e-14 relative error = 3.604031721830031e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.01950951820468814 y[1] (numeric) = -0.01950951820461719 absolute error = 7.095019016745141e-14 relative error = 3.636696171738472e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.0193153952550778 y[1] (numeric) = -0.01931539525500691 absolute error = 7.088774012231625e-14 relative error = 3.670012401308777e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.01912320386108918 y[1] (numeric) = -0.01912320386101837 absolute error = 7.081488173632522e-14 relative error = 3.703086692518891e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.01893292480342273 y[1] (numeric) = -0.01893292480335197 absolute error = 7.075937058509396e-14 relative error = 3.737371342239839e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.01874453905401411 y[1] (numeric) = -0.01874453905394341 absolute error = 7.06969205399588e-14 relative error = 3.771600909269581e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.0185580277741314 y[1] (numeric) = -0.01855802777406076 absolute error = 7.063447049482363e-14 relative error = 3.806141005634401e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.01837337231249117 y[1] (numeric) = -0.01837337231242061 absolute error = 7.056508155578456e-14 relative error = 3.840616755358011e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.01819055420339339 y[1] (numeric) = -0.01819055420332289 absolute error = 7.049916206369744e-14 relative error = 3.875591764573398e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.0180095551648748 y[1] (numeric) = -0.01800955516480436 absolute error = 7.044018146551423e-14 relative error = 3.911267147947012e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.01783035709688071 y[1] (numeric) = -0.01783035709681032 absolute error = 7.038467031428297e-14 relative error = 3.947462741876116e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.01765294207945498 y[1] (numeric) = -0.01765294207938466 absolute error = 7.032568971609976e-14 relative error = 3.983794281971099e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.01747729237094804 y[1] (numeric) = -0.01747729237087778 absolute error = 7.026323967096459e-14 relative error = 4.020258869603909e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.01730339040624265 y[1] (numeric) = -0.01730339040617245 absolute error = 7.020078962582943e-14 relative error = 4.057054021072232e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.01713121879499743 y[1] (numeric) = -0.01713121879492729 absolute error = 7.014180902764622e-14 relative error = 4.09438521958103e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.01696076031990777 y[1] (numeric) = -0.01696076031983769 absolute error = 7.008282842946301e-14 relative error = 4.132057001430706e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.01679199793498412 y[1] (numeric) = -0.01679199793491409 absolute error = 7.003425617213566e-14 relative error = 4.170692281126813e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.01662491476384734 y[1] (numeric) = -0.01662491476377737 absolute error = 6.997527557395244e-14 relative error = 4.209060712065795e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.0164594940980411 y[1] (numeric) = -0.01645949409797118 absolute error = 6.991976442272119e-14 relative error = 4.24798988390795e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.01629571939536095 y[1] (numeric) = -0.01629571939529108 absolute error = 6.986425327148993e-14 relative error = 4.287276405322665e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.01613357427820014 y[1] (numeric) = -0.01613357427813034 absolute error = 6.980527267330672e-14 relative error = 4.32670848192817e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.01597304253191185 y[1] (numeric) = -0.0159730425318421 absolute error = 6.975670041597937e-14 relative error = 4.367151735595486e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.01581410810318767 y[1] (numeric) = -0.01581410810311796 absolute error = 6.970812815865202e-14 relative error = 4.40797088927202e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.01565675509845227 y[1] (numeric) = -0.01565675509838262 absolute error = 6.965608645437271e-14 relative error = 4.448947819414923e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.01550096778227406 y[1] (numeric) = -0.01550096778220445 absolute error = 6.960577947356938e-14 relative error = 4.490415079319513e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.01534673057579159 y[1] (numeric) = -0.01534673057572204 absolute error = 6.95520030458141e-14 relative error = 4.532040404457715e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.01519402805515569 y[1] (numeric) = -0.01519402805508619 absolute error = 6.94999613415348e-14 relative error = 4.574163025712713e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.01504284494998703 y[1] (numeric) = -0.01504284494991759 absolute error = 6.94479196372555e-14 relative error = 4.616674563099539e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.01489316614184912 y[1] (numeric) = -0.01489316614177973 absolute error = 6.939587793297619e-14 relative error = 4.659578579330885e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.01474497666273641 y[1] (numeric) = -0.01474497666266707 absolute error = 6.934730567564884e-14 relative error = 4.703113966324798e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.0145982616935775 y[1] (numeric) = -0.0145982616935082 absolute error = 6.930046814179747e-14 relative error = 4.747172615235839e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.01445300656275321 y[1] (numeric) = -0.01445300656268395 absolute error = 6.925363060794609e-14 relative error = 4.791641815649581e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.0143091967446294 y[1] (numeric) = -0.0143091967445602 absolute error = 6.920332362714277e-14 relative error = 4.836282906873617e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.01416681785810443 y[1] (numeric) = -0.01416681785803527 absolute error = 6.915648609329139e-14 relative error = 4.881582214578199e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.01402585566517098 y[1] (numeric) = -0.01402585566510188 absolute error = 6.910791383596404e-14 relative error = 4.927179880196034e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.01388629606949232 y[1] (numeric) = -0.01388629606942325 absolute error = 6.906281102558864e-14 relative error = 4.973450852550747e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.01374812511499255 y[1] (numeric) = -0.01374812511492353 absolute error = 6.901770821521325e-14 relative error = 5.020154212878696e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) = -0.01361132898446109 y[1] (numeric) = -0.01361132898439211 absolute error = 6.89760748517898e-14 relative error = 5.067548872746665e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = 2.0 / exp ( x ) ; 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 %