##############ECHO OF PROBLEM################# ##############temp/sub_lin_sinpostode.ode################# diff ( y , x , 1 ) = ( 0.1 * x + 1.0 ) - sin ( x ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=40 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(0.1) x_end=c(5.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $glob_type_given_pole=3 # ELIMINATED in preodein.rb #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 def exact_soln_y (x) x = c(x) return(cos(c(x)) + (c(0.05) * c(x) * c(x)) + c(x)) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.1 y[1] (closed_form) 1.0955041652780257 y[1] (numeric) 1.0955041652780257 absolute error 0.0 relative error 0.0% 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 Radius of convergence (three term test) for eq 1 0.0993346653975306 Order of pole (three term test) 32.009966711079386 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.11000000000000001 y[1] (closed_form) 1.1045610979566969 y[1] (numeric) 1.1045610979566969 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10911481154043468 Order of pole (three term test) 32.0120512753347 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.12000000000000002 y[1] (closed_form) 1.1135286358538663 y[1] (numeric) 1.1135286358538663 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11885131321356741 Order of pole (three term test) 32.01433101257399 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.13000000000000003 y[1] (closed_form) 1.1224068937147882 y[1] (numeric) 1.122406893714788 absolute error 2.220446049250313e-16 relative error 1.9782897465119673e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.12854027594607761 Order of pole (three term test) 32.01680501093275 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.14000000000000004 y[1] (closed_form) 1.1311959962126372 y[1] (numeric) 1.131195996212637 absolute error 2.220446049250313e-16 relative error 1.9629189430342744e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13817782428205685 Order of pole (three term test) 32.019472280844624 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.15000000000000005 y[1] (closed_form) 1.1398960779360423 y[1] (numeric) 1.1398960779360423 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14776010333066983 Order of pole (three term test) 32.0223317554372 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.16000000000000006 y[1] (closed_form) 1.148507283375627 y[1] (numeric) 1.1485072833756271 absolute error 2.220446049250313e-16 relative error 1.9333321445938986e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15728328030805888 Order of pole (three term test) 32.025382290958774 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.17000000000000007 y[1] (closed_form) 1.1570297669095608 y[1] (numeric) 1.1570297669095608 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1667435460704072 Order of pole (three term test) 32.02862266723583 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.18000000000000008 y[1] (closed_form) 1.1654636927881215 y[1] (numeric) 1.1654636927881215 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17613711663754514 Order of pole (three term test) 32.03205158816103 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.19000000000000009 y[1] (closed_form) 1.1738092351172704 y[1] (numeric) 1.1738092351172704 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18546023470649145 Order of pole (three term test) 32.035667682211745 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2000000000000001 y[1] (closed_form) 1.1820665778412418 y[1] (numeric) 1.1820665778412418 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19470917115432546 Order of pole (three term test) 32.03946950299856 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2100000000000001 y[1] (closed_form) 1.1902359147241484 y[1] (numeric) 1.190235914724148 absolute error 4.440892098500626e-16 relative error 3.7311024172294927e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2038802265297852 Order of pole (three term test) 32.04345552984385 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2200000000000001 y[1] (closed_form) 1.1983174493306057 y[1] (numeric) 1.1983174493306052 absolute error 4.440892098500626e-16 relative error 3.705939608057415e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21296973253299986 Order of pole (three term test) 32.047624168390016 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.23000000000000012 y[1] (closed_form) 1.206311395005375 y[1] (numeric) 1.2063113950053745 absolute error 4.440892098500626e-16 relative error 3.68138120628533e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22197405348275995 Order of pole (three term test) 32.051973751237234 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.24000000000000013 y[1] (closed_form) 1.2142179748520296 y[1] (numeric) 1.2142179748520292 absolute error 4.440892098500626e-16 relative error 3.6574092876872574e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2308895877707416 Order of pole (three term test) 32.05650253861036 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2500000000000001 y[1] (closed_form) 1.2220374217106449 y[1] (numeric) 1.2220374217106444 absolute error 4.440892098500626e-16 relative error 3.6340066348247595e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23971276930210164 Order of pole (three term test) 32.06120871905482 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2600000000000001 y[1] (closed_form) 1.2297699781345135 y[1] (numeric) 1.2297699781345128 absolute error 6.661338147750939e-16 relative error 5.416735053050966e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2484400689218684 Order of pole (three term test) 32.06609041016117 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.27000000000000013 y[1] (closed_form) 1.2374158963658908 y[1] (numeric) 1.2374158963658901 absolute error 6.661338147750939e-16 relative error 5.3832653736826187e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.25706799582655676 Order of pole (three term test) 32.071145659318084 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.28000000000000014 y[1] (closed_form) 1.244975438310771 y[1] (numeric) 1.2449754383107707 absolute error 2.220446049250313e-16 relative error 1.7835259884830313e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2655930989604418 Order of pole (three term test) 32.076372444493295 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.29000000000000015 y[1] (closed_form) 1.2524488755126972 y[1] (numeric) 1.252448875512697 absolute error 2.220446049250313e-16 relative error 1.772883582446717e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.274011968395937 Order of pole (three term test) 32.081768675042404 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.30000000000000016 y[1] (closed_form) 1.2598364891256062 y[1] (numeric) 1.2598364891256058 absolute error 4.440892098500626e-16 relative error 3.524974976381929e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.28232123669751774 Order of pole (three term test) 32.08733219254516 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.31000000000000016 y[1] (closed_form) 1.2671385698857136 y[1] (numeric) 1.2671385698857132 absolute error 4.440892098500626e-16 relative error 3.5046617663142885e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2905175802686528 Order of pole (three term test) 32.09306077166873 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3200000000000002 y[1] (closed_form) 1.274355418082441 y[1] (numeric) 1.2743554180824406 absolute error 4.440892098500626e-16 relative error 3.4848143896802066e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.29859772068119605 Order of pole (three term test) 32.098952121057856 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3300000000000002 y[1] (closed_form) 1.2814873435283871 y[1] (numeric) 1.2814873435283864 absolute error 6.661338147750939e-16 relative error 5.1981302674515096e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.30655842598671706 Order of pole (three term test) 32.10500388425132 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3400000000000002 y[1] (closed_form) 1.2885346655283465 y[1] (numeric) 1.2885346655283454 absolute error 1.1102230246251565e-15 relative error 8.616167297058511e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3143965120092345 Order of pole (three term test) 32.111213640624534 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3500000000000002 y[1] (closed_form) 1.295497712847379 y[1] (numeric) 1.2954977128473781 absolute error 8.881784197001252e-16 relative error 6.855885663804027e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3221088436188458 Order of pole (three term test) 32.11757890635776 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3600000000000002 y[1] (closed_form) 1.302376823677935 y[1] (numeric) 1.3023768236779338 absolute error 1.1102230246251565e-15 relative error 8.524591381239934e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3296923359857368 Order of pole (three term test) 32.12409713542955 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3700000000000002 y[1] (closed_form) 1.3091723456060347 y[1] (numeric) 1.3091723456060336 absolute error 1.1102230246251565e-15 relative error 8.480342778026054e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.33714395581407286 Order of pole (three term test) 32.1307657206352 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3800000000000002 y[1] (closed_form) 1.3158846355765104 y[1] (numeric) 1.3158846355765095 absolute error 8.881784197001252e-16 relative error 6.749667833236763e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.34446072255527593 Order of pole (three term test) 32.13758199462955 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.39000000000000024 y[1] (closed_form) 1.3225140598573133 y[1] (numeric) 1.3225140598573124 absolute error 8.881784197001252e-16 relative error 6.715833477006295e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3516397096002052 Order of pole (three term test) 32.14454323099387 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.40000000000000024 y[1] (closed_form) 1.3290609940028852 y[1] (numeric) 1.3290609940028844 absolute error 8.881784197001252e-16 relative error 6.68275138393082e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3586780454497616 Order of pole (three term test) 32.151646645326416 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.41000000000000025 y[1] (closed_form) 1.3355258228166051 y[1] (numeric) 1.3355258228166045 absolute error 6.661338147750939e-16 relative error 4.9878018335147355e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3655729148634483 Order of pole (three term test) 32.158889396356194 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.42000000000000026 y[1] (closed_form) 1.3419089403123086 y[1] (numeric) 1.3419089403123077 absolute error 8.881784197001252e-16 relative error 6.618768181791944e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3723215599854298 Order of pole (three term test) 32.166268587079344 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.43000000000000027 y[1] (closed_form) 1.3482107496748852 y[1] (numeric) 1.3482107496748845 absolute error 6.661338147750939e-16 relative error 4.940873041812855e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3789212814476387 Order of pole (three term test) 32.173781265917974 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4400000000000003 y[1] (closed_form) 1.3544316632199636 y[1] (numeric) 1.354431663219963 absolute error 6.661338147750939e-16 relative error 4.9181795794071884e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3853694394494846 Order of pole (three term test) 32.18142442790071 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4500000000000003 y[1] (closed_form) 1.3605721023526771 y[1] (numeric) 1.3605721023526764 absolute error 6.661338147750939e-16 relative error 4.8959831942991274e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.39166345481374193 Order of pole (three term test) 32.18919501586466 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4600000000000003 y[1] (closed_form) 1.3666324975255253 y[1] (numeric) 1.366632497525525 absolute error 2.220446049250313e-16 relative error 1.6247572432755214e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.39780081001818324 Order of pole (three term test) 32.19708992167827 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4700000000000003 y[1] (closed_form) 1.3726132881953292 y[1] (numeric) 1.3726132881953292 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4037790502025573 Order of pole (three term test) 32.20510598748445 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4800000000000003 y[1] (closed_form) 1.3785149227792843 y[1] (numeric) 1.3785149227792846 absolute error 2.220446049250313e-16 relative error 1.6107522759155734e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4095957841504994 Order of pole (three term test) 32.21324000696377 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4900000000000003 y[1] (closed_form) 1.3843378586101216 y[1] (numeric) 1.3843378586101223 absolute error 6.661338147750939e-16 relative error 4.811930921573537e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4152486852459853 Order of pole (three term test) 32.22148872661689 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5000000000000003 y[1] (closed_form) 1.390082561890373 y[1] (numeric) 1.3900825618903734 absolute error 4.440892098500626e-16 relative error 3.194696646263556e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4207354924039487 Order of pole (three term test) 32.22984884706593 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5100000000000003 y[1] (closed_form) 1.3957495076457516 y[1] (numeric) 1.3957495076457518 absolute error 2.220446049250313e-16 relative error 1.5908628569001606e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.42605401097468154 Order of pole (three term test) 32.238317024374176 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5200000000000004 y[1] (closed_form) 1.4013391796776502 y[1] (numeric) 1.4013391796776502 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4312021136216694 Order of pole (three term test) 32.246889871383615 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5300000000000004 y[1] (closed_form) 1.4068520705147611 y[1] (numeric) 1.4068520705147611 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.43617774117249347 Order of pole (three term test) 32.25556395906974 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5400000000000004 y[1] (closed_form) 1.4122886813638242 y[1] (numeric) 1.4122886813638247 absolute error 4.440892098500626e-16 relative error 3.144464837183379e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4409789034424741 Order of pole (three term test) 32.264335817913135 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5500000000000004 y[1] (closed_form) 1.417649522059506 y[1] (numeric) 1.4176495220595065 absolute error 4.440892098500626e-16 relative error 3.1325740455575163e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4456036800307179 Order of pole (three term test) 32.27320193928721 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5600000000000004 y[1] (closed_form) 1.4229351110134163 y[1] (numeric) 1.4229351110134167 absolute error 4.440892098500626e-16 relative error 3.120937886856848e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.45005022108825254 Order of pole (three term test) 32.28215877686164 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5700000000000004 y[1] (closed_form) 1.428145975162269 y[1] (numeric) 1.4281459751622696 absolute error 6.661338147750939e-16 relative error 4.6643258207509663e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.45431674805794175 Order of pole (three term test) 32.29120274802082 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5800000000000004 y[1] (closed_form) 1.4332826499151872 y[1] (numeric) 1.4332826499151878 absolute error 6.661338147750939e-16 relative error 4.647609561271893e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4584015543858839 Order of pole (three term test) 32.30033023529687 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5900000000000004 y[1] (closed_form) 1.4383456791001636 y[1] (numeric) 1.4383456791001643 absolute error 6.661338147750939e-16 relative error 4.631249806317982e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4623030062040102 Order of pole (three term test) 32.30953758781656 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6000000000000004 y[1] (closed_form) 1.4433356149096785 y[1] (numeric) 1.4433356149096792 absolute error 6.661338147750939e-16 relative error 4.615238534225316e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4660195429836131 Order of pole (three term test) 32.31882112276166 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6100000000000004 y[1] (closed_form) 1.4482530178454796 y[1] (numeric) 1.4482530178454809 absolute error 1.3322676295501878e-15 relative error 9.199135877045576e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46954967815953375 Order of pole (three term test) 32.32817712684198 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6200000000000004 y[1] (closed_form) 1.4530984566625342 y[1] (numeric) 1.4530984566625353 absolute error 1.1102230246251565e-15 relative error 7.640384032717979e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47289199972476953 Order of pole (three term test) 32.33760185778062 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6300000000000004 y[1] (closed_form) 1.457872508312152 y[1] (numeric) 1.4578725083121533 absolute error 1.3322676295501878e-15 relative error 9.138437153826414e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47604517079525793 Order of pole (three term test) 32.347091545810855 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6400000000000005 y[1] (closed_form) 1.4625757578842928 y[1] (numeric) 1.462575757884294 absolute error 1.1102230246251565e-15 relative error 7.590875335108545e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47900793014461257 Order of pole (three term test) 32.35664239518402 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6500000000000005 y[1] (closed_form) 1.467208798549056 y[1] (numeric) 1.4672087985490572 absolute error 1.1102230246251565e-15 relative error 7.566905444699296e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48177909270859665 Order of pole (three term test) 32.36625058568771 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6600000000000005 y[1] (closed_form) 1.4717722314973654 y[1] (numeric) 1.4717722314973665 absolute error 1.1102230246251565e-15 relative error 7.543443209929484e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48435755005913284 Order of pole (three term test) 32.375912274173814 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6700000000000005 y[1] (closed_form) 1.4762666658808494 y[1] (numeric) 1.4762666658808505 absolute error 1.1102230246251565e-15 relative error 7.520477501012432e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48674227084766 Order of pole (three term test) 32.38562359609577 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6800000000000005 y[1] (closed_form) 1.480692718750928 y[1] (numeric) 1.4806927187509291 absolute error 1.1102230246251565e-15 relative error 7.497997461361938e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48893230121765824 Order of pole (three term test) 32.39538066705429 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6900000000000005 y[1] (closed_form) 1.485051014997107 y[1] (numeric) 1.4850510149971075 absolute error 4.440892098500626e-16 relative error 2.9903969989268534e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49092676518617995 Order of pole (three term test) 32.40517958435108 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7000000000000005 y[1] (closed_form) 1.4893421872844885 y[1] (numeric) 1.4893421872844894 absolute error 8.881784197001252e-16 relative error 5.963561814625941e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4927248649942302 Order of pole (three term test) 32.415016428549876 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7100000000000005 y[1] (closed_form) 1.4935668759905085 y[1] (numeric) 1.4935668759905087 absolute error 2.220446049250313e-16 relative error 1.4866733354525894e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49432588142586004 Order of pole (three term test) 32.42488726504416 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7200000000000005 y[1] (closed_form) 1.4977257291408952 y[1] (numeric) 1.4977257291408954 absolute error 2.220446049250313e-16 relative error 1.482545172355405e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4957291740958432 Order of pole (three term test) 32.434788145630925 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7300000000000005 y[1] (closed_form) 1.5018194023448705 y[1] (numeric) 1.5018194023448708 absolute error 2.220446049250313e-16 relative error 1.478504037025632e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4969341817058225 Order of pole (three term test) 32.444715110089966 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7400000000000005 y[1] (closed_form) 1.5058485587295882 y[1] (numeric) 1.5058485587295882 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49794042226882 Order of pole (three term test) 32.45466418776785 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7500000000000006 y[1] (closed_form) 1.5098138688738212 y[1] (numeric) 1.509813868873821 absolute error 2.220446049250313e-16 relative error 1.4706753560997267e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49874749330202717 Order of pole (three term test) 32.46463139916615 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7600000000000006 y[1] (closed_form) 1.5137160107409053 y[1] (numeric) 1.5137160107409051 absolute error 2.220446049250313e-16 relative error 1.4668841668415006e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49935507198779155 Order of pole (three term test) 32.474612757533215 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7700000000000006 y[1] (closed_form) 1.5175556696109436 y[1] (numeric) 1.517555669610943 absolute error 6.661338147750939e-16 relative error 4.3895181449644674e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4997629153027396 Order of pole (three term test) 32.48460427045877 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7800000000000006 y[1] (closed_form) 1.5213335380122777 y[1] (numeric) 1.5213335380122768 absolute error 8.881784197001252e-16 relative error 5.838157100385684e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4999708601149831 Order of pole (three term test) 32.49460194147087 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7900000000000006 y[1] (closed_form) 1.5250503156522361 y[1] (numeric) 1.525050315652236 absolute error 2.220446049250313e-16 relative error 1.4559821577432145e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49997882324937 Order of pole (three term test) 32.504601771634405 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8000000000000006 y[1] (closed_form) 1.5287067093471656 y[1] (numeric) 1.5287067093471656 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49978680152075255 Order of pole (three term test) 32.51459976115064 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8100000000000006 y[1] (closed_form) 1.5323034329517473 y[1] (numeric) 1.5323034329517473 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.499394871735262 Order of pole (three term test) 32.524591910957085 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8200000000000006 y[1] (closed_form) 1.5358412072876138 y[1] (numeric) 1.5358412072876142 absolute error 4.440892098500626e-16 relative error 2.891504718995985e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4988031906595869 Order of pole (three term test) 32.53457422432704 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8300000000000006 y[1] (closed_form) 1.5393207600712673 y[1] (numeric) 1.539320760071268 absolute error 6.661338147750939e-16 relative error 4.3274529393357457e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49801199495826826 Order of pole (three term test) 32.54454270846823 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8400000000000006 y[1] (closed_form) 1.5427428258413083 y[1] (numeric) 1.5427428258413092 absolute error 8.881784197001252e-16 relative error 5.757138551046396e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49702160109903787 Order of pole (three term test) 32.55449337611993 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8500000000000006 y[1] (closed_form) 1.5461081458849824 y[1] (numeric) 1.5461081458849832 absolute error 8.881784197001252e-16 relative error 5.744607335935985e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49583240522623423 Order of pole (three term test) 32.56442224714776 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8600000000000007 y[1] (closed_form) 1.549417468164052 y[1] (numeric) 1.5494174681640531 absolute error 1.1102230246251565e-15 relative error 7.165422150175516e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4944448830023506 Order of pole (three term test) 32.57432535013568 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8700000000000007 y[1] (closed_form) 1.5526715472400014 y[1] (numeric) 1.5526715472400028 absolute error 1.3322676295501878e-15 relative error 8.580485885236969e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4928595894177766 Order of pole (three term test) 32.58419872397454 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8800000000000007 y[1] (closed_form) 1.5558711441985804 y[1] (numeric) 1.5558711441985817 absolute error 1.3322676295501878e-15 relative error 8.562840403061981e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.491077158568809 Order of pole (three term test) 32.59403841944644 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8900000000000007 y[1] (closed_form) 1.5590170265736971 y[1] (numeric) 1.5590170265736982 absolute error 1.1102230246251565e-15 relative error 7.121301472025165e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4890983034040221 Order of pole (three term test) 32.60384050080439 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9000000000000007 y[1] (closed_form) 1.5621099682706647 y[1] (numeric) 1.562109968270666 absolute error 1.3322676295501878e-15 relative error 8.528641751291531e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48692381543909746 Order of pole (three term test) 32.61360104734654 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9100000000000007 y[1] (closed_form) 1.5651507494888117 y[1] (numeric) 1.5651507494888133 absolute error 1.5543122344752192e-15 relative error 9.930750983461929e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48455456444022815 Order of pole (three term test) 32.62331615498442 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9200000000000007 y[1] (closed_form) 1.568140156643463 y[1] (numeric) 1.5681401566434647 absolute error 1.7763568394002505e-15 relative error 1.132779383191402e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4819914980762238 Order of pole (three term test) 32.632981937804495 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9300000000000007 y[1] (closed_form) 1.5710789822872986 y[1] (numeric) 1.5710789822873001 absolute error 1.5543122344752192e-15 relative error 9.893278772097956e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4792356415394569 Order of pole (three term test) 32.642594529622514 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9400000000000007 y[1] (closed_form) 1.5739680250310983 y[1] (numeric) 1.5739680250311 absolute error 1.5543122344752192e-15 relative error 9.875119505331179e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47628809713579734 Order of pole (three term test) 32.652150085529925 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9500000000000007 y[1] (closed_form) 1.5768080894638836 y[1] (numeric) 1.5768080894638852 absolute error 1.5543122344752192e-15 relative error 9.85733295548786e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47315004384370707 Order of pole (three term test) 32.66164478343175 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9600000000000007 y[1] (closed_form) 1.579599986072457 y[1] (numeric) 1.5795999860724586 absolute error 1.5543122344752192e-15 relative error 9.839910408836393e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46982273684266196 Order of pole (three term test) 32.67107482557545 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9700000000000008 y[1] (closed_form) 1.5823445311603546 y[1] (numeric) 1.5823445311603563 absolute error 1.7763568394002505e-15 relative error 1.122610660585798e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46630750701109996 Order of pole (three term test) 32.680436440069876 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9800000000000008 y[1] (closed_form) 1.5850425467662175 y[1] (numeric) 1.5850425467662195 absolute error 1.9984014443252818e-15 relative error 1.2607872567221577e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4626057603940838 Order of pole (three term test) 32.68972588239408 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9900000000000008 y[1] (closed_form) 1.5876948605815877 y[1] (numeric) 1.5876948605815895 absolute error 1.7763568394002505e-15 relative error 1.1188276056707484e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4587189776409047 Order of pole (three term test) 32.69893943689496 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0000000000000007 y[1] (closed_form) 1.59030230586814 y[1] (numeric) 1.5903023058681414 absolute error 1.3322676295501878e-15 relative error 8.377448895308669e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4546487134128407 Order of pole (three term test) 32.70807341827358 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0099999999999996 y[1] (closed_form) 1.5928657213743553 y[1] (numeric) 1.5928657213743573 absolute error 1.9984014443252818e-15 relative error 1.254595046844892e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.45039659576131386 Order of pole (three term test) 32.71712417305915 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0199999999999985 y[1] (closed_form) 1.5953859512516493 y[1] (numeric) 1.5953859512516517 absolute error 2.4424906541753444e-15 relative error 1.530971644986033e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.44596432547669046 Order of pole (three term test) 32.72608808107046 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0299999999999974 y[1] (closed_form) 1.5978638449699547 y[1] (numeric) 1.5978638449699574 absolute error 2.6645352591003757e-15 relative error 1.6675608923052377e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.44135367540798814 Order of pole (three term test) 32.734961556863794 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0399999999999963 y[1] (closed_form) 1.6003002572327776 y[1] (numeric) 1.6003002572327802 absolute error 2.6645352591003757e-15 relative error 1.665022077611774e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.43656648975375995 Order of pole (three term test) 32.74374105116718 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0499999999999952 y[1] (closed_form) 1.6026960478917258 y[1] (numeric) 1.6026960478917287 absolute error 2.886579864025407e-15 relative error 1.8010775454413658e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.43160468332443946 Order of pole (three term test) 32.75242305229993 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.059999999999994 y[1] (closed_form) 1.605052081860526 y[1] (numeric) 1.605052081860529 absolute error 2.886579864025407e-15 relative error 1.7984337683792628e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.42647024077644125 Order of pole (three term test) 32.76100408757735 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.069999999999993 y[1] (closed_form) 1.6073692290285324 y[1] (numeric) 1.6073692290285353 absolute error 2.886579864025407e-15 relative error 1.7958411868877249e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4211652158183267 Order of pole (three term test) 32.769480724699754 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0799999999999919 y[1] (closed_form) 1.6096483641737382 y[1] (numeric) 1.6096483641737411 absolute error 2.886579864025407e-15 relative error 1.7932984173889065e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.41569173038934604 Order of pole (three term test) 32.7778495731253 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0899999999999908 y[1] (closed_form) 1.6118903668752989 y[1] (numeric) 1.611890366875302 absolute error 3.1086244689504383e-15 relative error 1.9285582523683708e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.41005197381069236 Order of pole (three term test) 32.78610728542621 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0999999999999897 y[1] (closed_form) 1.6140961214255751 y[1] (numeric) 1.6140961214255787 absolute error 3.552713678800501e-15 relative error 2.201054591261103e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.40424820190980126 Order of pole (three term test) 32.79425055862767 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1099999999999886 y[1] (closed_form) 1.6162665167417045 y[1] (numeric) 1.6162665167417083 absolute error 3.774758283725532e-15 relative error 2.3354800985020815e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.39828273611805015 Order of pole (three term test) 32.802276135528956 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1199999999999875 y[1] (closed_form) 1.6184024462767095 y[1] (numeric) 1.6184024462767135 absolute error 3.9968028886505635e-15 relative error 2.4695976565319665e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3921579625422178 Order of pole (three term test) 32.810180806006336 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1299999999999863 y[1] (closed_form) 1.6205048079301545 y[1] (numeric) 1.6205048079301587 absolute error 4.218847493575595e-15 relative error 2.6034155979853356e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3858763310100716 Order of pole (three term test) 32.81796140829699 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1399999999999852 y[1] (closed_form) 1.622574503958355 y[1] (numeric) 1.6225745039583597 absolute error 4.6629367034256575e-15 relative error 2.873788964420543e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.37944035409047056 Order of pole (three term test) 32.82561483026376 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1499999999999841 y[1] (closed_form) 1.624612440884154 y[1] (numeric) 1.624612440884159 absolute error 4.884981308350689e-15 relative error 3.006859473322857e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3728526060883704 Order of pole (three term test) 32.8331380106399 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.159999999999983 y[1] (closed_form) 1.6266195294062697 y[1] (numeric) 1.6266195294062749 absolute error 5.10702591327572e-15 relative error 3.1396560910219914e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3661157220151374 Order of pole (three term test) 32.84052794025356 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.169999999999982 y[1] (closed_form) 1.6285966843082267 y[1] (numeric) 1.6285966843082318 absolute error 5.10702591327572e-15 relative error 3.1358444742536203e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3592323965345755 Order of pole (three term test) 32.84778166323144 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1799999999999808 y[1] (closed_form) 1.630544824366878 y[1] (numeric) 1.6305448243668834 absolute error 5.329070518200751e-15 relative error 3.2682760011028635e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.35220538288510167 Order of pole (three term test) 32.85489627818105 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1899999999999797 y[1] (closed_form) 1.632464872260529 y[1] (numeric) 1.6324648722605348 absolute error 5.773159728050814e-15 relative error 3.5364679670298357e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3450374917784829 Order of pole (three term test) 32.86186893935126 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1999999999999786 y[1] (closed_form) 1.6343577544766696 y[1] (numeric) 1.6343577544766756 absolute error 5.995204332975845e-15 relative error 3.668232562028956e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.337731590275591 Order of pole (three term test) 32.86869685777061 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2099999999999775 y[1] (closed_form) 1.636224401219326 y[1] (numeric) 1.636224401219333 absolute error 6.8833827526759706e-15 relative error 4.206869636919254e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3302906006396172 Order of pole (three term test) 32.875377302362736 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2199999999999764 y[1] (closed_form) 1.6380657463160428 y[1] (numeric) 1.63806574631605 absolute error 7.105427357601002e-15 relative error 4.3376936326157113e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3227174991672033 Order of pole (three term test) 32.88190760103887 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2299999999999753 y[1] (closed_form) 1.639882727124498 y[1] (numeric) 1.6398827271245058 absolute error 7.771561172376096e-15 relative error 4.739095694972881e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3150153149979655 Order of pole (three term test) 32.88828514176663 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2399999999999742 y[1] (closed_form) 1.6416762844387716 y[1] (numeric) 1.641676284438779 absolute error 7.549516567451064e-15 relative error 4.598663353434484e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.30718712890287625 Order of pole (three term test) 32.89450737361475 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2499999999999731 y[1] (closed_form) 1.643447362395264 y[1] (numeric) 1.6434473623952712 absolute error 7.327471962526033e-15 relative error 4.4585985107831585e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2992360720520001 Order of pole (three term test) 32.90057180777345 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.259999999999972 y[1] (closed_form) 1.6451969083782845 y[1] (numeric) 1.645196908378292 absolute error 7.549516567451064e-15 relative error 4.588822486235298e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.29116532476206347 Order of pole (three term test) 32.906476018549924 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.269999999999971 y[1] (closed_form) 1.6469258729253138 y[1] (numeric) 1.646925872925321 absolute error 7.327471962526033e-15 relative error 4.449181400927767e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2829781152243754 Order of pole (three term test) 32.9122176443386 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2799999999999698 y[1] (closed_form) 1.6486352096319505 y[1] (numeric) 1.648635209631958 absolute error 7.549516567451064e-15 relative error 4.579252295076517e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.27467771821358883 Order of pole (three term test) 32.91779438856569 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2899999999999687 y[1] (closed_form) 1.6503258750565524 y[1] (numeric) 1.6503258750565604 absolute error 7.993605777301127e-15 relative error 4.843652940378946e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2662674537778372 Order of pole (three term test) 32.92320402060787 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2999999999999676 y[1] (closed_form) 1.6519988286245821 y[1] (numeric) 1.6519988286245906 absolute error 8.43769498715119e-15 relative error 5.107567173141539e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2577506859107598 Order of pole (three term test) 32.92844437668445 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3099999999999665 y[1] (closed_form) 1.6536550325326642 y[1] (numeric) 1.6536550325326729 absolute error 8.659739592076221e-15 relative error 5.236726778990507e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24913082120594834 Order of pole (three term test) 32.933513360722884 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3199999999999654 y[1] (closed_form) 1.6552954516523672 y[1] (numeric) 1.6552954516523766 absolute error 9.325873406851315e-15 relative error 5.633963047226366e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24041130749435452 Order of pole (three term test) 32.938408945197125 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3299999999999643 y[1] (closed_form) 1.6569210534337175 y[1] (numeric) 1.6569210534337266 absolute error 9.103828801926284e-15 relative error 5.4944252069584e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23159563246520415 Order of pole (three term test) 32.94312917193866 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3399999999999632 y[1] (closed_form) 1.6585328078084536 y[1] (numeric) 1.6585328078084627 absolute error 9.103828801926284e-15 relative error 5.489085750408441e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22268732227096869 Order of pole (three term test) 32.94767215291973 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3499999999999621 y[1] (closed_form) 1.6601316870930356 y[1] (numeric) 1.660131687093045 absolute error 9.325873406851315e-15 relative error 5.617550390343633e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21368994011694933 Order of pole (three term test) 32.95203607100851 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.359999999999961 y[1] (closed_form) 1.6617186658914131 y[1] (numeric) 1.6617186658914227 absolute error 9.547918011776346e-15 relative error 5.745808967400903e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20460708483604442 Order of pole (three term test) 32.95621918069596 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.36999999999996 y[1] (closed_form) 1.6632947209975666 y[1] (numeric) 1.6632947209975761 absolute error 9.547918011776346e-15 relative error 5.740364525446188e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19544238944926298 Order of pole (three term test) 32.96021980879398 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3799999999999588 y[1] (closed_form) 1.664860831297828 y[1] (numeric) 1.6648608312978375 absolute error 9.547918011776346e-15 relative error 5.734964648266335e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18619951971256596 Order of pole (three term test) 32.964036355104646 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3899999999999577 y[1] (closed_form) 1.6664179776729928 y[1] (numeric) 1.6664179776730028 absolute error 9.992007221626409e-15 relative error 5.996099031276279e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17688217265061104 Order of pole (three term test) 32.96766729306035 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3999999999999566 y[1] (closed_form) 1.6679671429002343 y[1] (numeric) 1.6679671429002445 absolute error 1.021405182655144e-14 relative error 6.123652896897844e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16749407507799338 Order of pole (three term test) 32.97111117033432 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4099999999999555 y[1] (closed_form) 1.6695093115548243 y[1] (numeric) 1.6695093115548347 absolute error 1.0436096431476471e-14 relative error 6.250996241379014e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15803898210856912 Order of pole (three term test) 32.97436660942154 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4199999999999544 y[1] (closed_form) 1.6710454699116788 y[1] (numeric) 1.671045469911689 absolute error 1.021405182655144e-14 relative error 6.11237217087294e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14852067565345978 Order of pole (three term test) 32.977432308189805 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4299999999999533 y[1] (closed_form) 1.6725766058467295 y[1] (numeric) 1.6725766058467402 absolute error 1.0658141036401503e-14 relative error 6.372288718582129e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1389429629083382 Order of pole (three term test) 32.98030704040046 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4399999999999522 y[1] (closed_form) 1.674103708738138 y[1] (numeric) 1.6741037087381485 absolute error 1.0436096431476471e-14 relative error 6.233841055965833e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.12930967483060143 Order of pole (three term test) 32.98298965619897 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.449999999999951 y[1] (closed_form) 1.6756277693673591 y[1] (numeric) 1.6756277693673693 absolute error 1.021405182655144e-14 relative error 6.095656811899102e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11962466460703847 Order of pole (three term test) 32.985479082574784 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.45999999999995 y[1] (closed_form) 1.6771497798200619 y[1] (numeric) 1.6771497798200725 absolute error 1.0658141036401503e-14 relative error 6.354913058239196e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10989180611260721 Order of pole (three term test) 32.98777432379053 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.469999999999949 y[1] (closed_form) 1.678670733386924 y[1] (numeric) 1.6786707333869344 absolute error 1.0436096431476471e-14 relative error 6.216881145250187e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1001149923609353 Order of pole (three term test) 32.989874461780325 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4799999999999478 y[1] (closed_form) 1.6801916244643018 y[1] (numeric) 1.6801916244643127 absolute error 1.0880185641326534e-14 relative error 6.475562360213217e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09029813394716771 Order of pole (three term test) 32.991778656517 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4899999999999467 y[1] (closed_form) 1.6817134484547924 y[1] (numeric) 1.6817134484548037 absolute error 1.1324274851176597e-14 relative error 6.733771952398711e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08044515748378046 Order of pole (three term test) 32.99348614634801 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4999999999999456 y[1] (closed_form) 1.6832372016676946 y[1] (numeric) 1.6832372016677062 absolute error 1.1546319456101628e-14 relative error 6.859591413890998e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.07056000402998741 Order of pole (three term test) 32.99499624830021 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5099999999999445 y[1] (closed_form) 1.6847638812193775 y[1] (numeric) 1.684763881219389 absolute error 1.1546319456101628e-14 relative error 6.853375469887671e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06064662751536994 Order of pole (three term test) 32.99630835835296 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5199999999999434 y[1] (closed_form) 1.6862944849335706 y[1] (numeric) 1.6862944849335826 absolute error 1.199040866595169e-14 relative error 7.110506956573505e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.05070899315835727 Order of pole (three term test) 32.99742195167972 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5299999999999423 y[1] (closed_form) 1.6878300112415823 y[1] (numeric) 1.6878300112415945 absolute error 1.2212453270876722e-14 relative error 7.235594336833208e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.040751075880192084 Order of pole (three term test) 32.998336582858016 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5399999999999412 y[1] (closed_form) 1.6893714590824571 y[1] (numeric) 1.689371459082469 absolute error 1.199040866595169e-14 relative error 7.097556077136525e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.030776858715015305 Order of pole (three term test) 32.99905188604757 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.54999999999994 y[1] (closed_form) 1.6909198278030833 y[1] (numeric) 1.690919827803095 absolute error 1.176836406102666e-14 relative error 6.959741004584842e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.020790331216705142 Order of pole (three term test) 32.99956757513663 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.559999999999939 y[1] (closed_form) 1.6924761170582578 y[1] (numeric) 1.69247611705827 absolute error 1.2212453270876722e-14 relative error 7.215731523646871e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.010795487863109021 Order of pole (three term test) 32.999883443856454 NO COMPLEX POLE (six term test) for Equation 1 SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE TOP MAIN SOLVE Loop x[1] 1.5699895054149413 y[1] (closed_form) 1.6940396790630143 y[1] (numeric) 1.6940396790630268 absolute error 1.2434497875801753e-14 relative error 7.340145587781843e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5799940607570198 y[1] (closed_form) 1.6956155180811792 y[1] (numeric) 1.6956155180811914 absolute error 1.2212453270876722e-14 relative error 7.202371729115091e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5899986160990982 y[1] (closed_form) 1.6972022868030079 y[1] (numeric) 1.6972022868030203 absolute error 1.2434497875801753e-14 relative error 7.326467783180055e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6000031714411767 y[1] (closed_form) 1.6988009864822422 y[1] (numeric) 1.6988009864822544 absolute error 1.2212453270876722e-14 relative error 7.188866364014429e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.610007726783255 y[1] (closed_form) 1.700412618180266 y[1] (numeric) 1.7004126181802772 absolute error 1.1324274851176597e-14 relative error 6.65972172289307e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6200122821253335 y[1] (closed_form) 1.7020381826659086 y[1] (numeric) 1.7020381826659194 absolute error 1.0880185641326534e-14 relative error 6.392445100311944e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.630016837467412 y[1] (closed_form) 1.7036786803152772 y[1] (numeric) 1.7036786803152872 absolute error 9.992007221626409e-15 relative error 5.864959946424475e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6400213928094904 y[1] (closed_form) 1.7053351110116302 y[1] (numeric) 1.705335111011639 absolute error 8.881784197001252e-15 relative error 5.208233935752631e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6500259481515689 y[1] (closed_form) 1.7070084740452962 y[1] (numeric) 1.707008474045305 absolute error 8.881784197001252e-15 relative error 5.203128357033318e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6600305034936473 y[1] (closed_form) 1.708699768013658 y[1] (numeric) 1.7086997680136662 absolute error 8.215650382226158e-15 relative error 4.80812986343221e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6700350588357258 y[1] (closed_form) 1.7104099907211996 y[1] (numeric) 1.710409990721208 absolute error 8.43769498715119e-15 relative error 4.933141780581748e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6800396141778042 y[1] (closed_form) 1.7121401390796371 y[1] (numeric) 1.7121401390796454 absolute error 8.215650382226158e-15 relative error 4.798468416634686e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6900441695198827 y[1] (closed_form) 1.7138912090081384 y[1] (numeric) 1.7138912090081457 absolute error 7.327471962526033e-15 relative error 4.2753425211665454e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7000487248619611 y[1] (closed_form) 1.7156641953336391 y[1] (numeric) 1.7156641953336451 absolute error 5.995204332975845e-15 relative error 3.494392637721264e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7100532802040396 y[1] (closed_form) 1.7174600916912723 y[1] (numeric) 1.717460091691278 absolute error 5.551115123125783e-15 relative error 3.232165422638328e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.720057835546118 y[1] (closed_form) 1.7192798904249134 y[1] (numeric) 1.7192798904249182 absolute error 4.884981308350689e-15 relative error 2.841294972131259e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7300623908881965 y[1] (closed_form) 1.7211245824878574 y[1] (numeric) 1.721124582487862 absolute error 4.6629367034256575e-15 relative error 2.709238338043757e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.740066946230275 y[1] (closed_form) 1.7229951573436337 y[1] (numeric) 1.7229951573436388 absolute error 5.10702591327572e-15 relative error 2.9640396210685207e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7500715015723534 y[1] (closed_form) 1.7248926028669709 y[1] (numeric) 1.724892602866975 absolute error 4.218847493575595e-15 relative error 2.445860969293614e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7600760569144318 y[1] (closed_form) 1.7268179052449188 y[1] (numeric) 1.7268179052449228 absolute error 3.9968028886505635e-15 relative error 2.3145479766632875e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7700806122565103 y[1] (closed_form) 1.728772048878142 y[1] (numeric) 1.7287720488781457 absolute error 3.774758283725532e-15 relative error 2.1834910427751878e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7800851675985887 y[1] (closed_form) 1.73075601628239 y[1] (numeric) 1.7307560162823934 absolute error 3.3306690738754696e-15 relative error 1.9244012688915234e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7900897229406671 y[1] (closed_form) 1.7327707879901582 y[1] (numeric) 1.7327707879901608 absolute error 2.6645352591003757e-15 relative error 1.537730943739519e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8000942782827456 y[1] (closed_form) 1.7348173424525444 y[1] (numeric) 1.7348173424525462 absolute error 1.7763568394002505e-15 relative error 1.023944594010676e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.810098833624824 y[1] (closed_form) 1.7368966559413166 y[1] (numeric) 1.736896655941317 absolute error 4.440892098500626e-16 relative error 2.5567969650410034e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8201033889669025 y[1] (closed_form) 1.7390097024511972 y[1] (numeric) 1.739009702451198 absolute error 6.661338147750939e-16 relative error 3.830535354898562e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.830107944308981 y[1] (closed_form) 1.7411574536023757 y[1] (numeric) 1.7411574536023762 absolute error 4.440892098500626e-16 relative error 2.550540210658503e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8401124996510594 y[1] (closed_form) 1.7433408785432594 y[1] (numeric) 1.743340878543259 absolute error 4.440892098500626e-16 relative error 2.5473458192590816e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8501170549931378 y[1] (closed_form) 1.7455609438534692 y[1] (numeric) 1.7455609438534674 absolute error 1.7763568394002505e-15 relative error 1.0176424063881704e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8601216103352163 y[1] (closed_form) 1.7478186134470972 y[1] (numeric) 1.7478186134470943 absolute error 2.886579864025407e-15 relative error 1.6515328546206591e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8701261656772947 y[1] (closed_form) 1.7501148484762263 y[1] (numeric) 1.7501148484762226 absolute error 3.774758283725532e-15 relative error 2.156863183585982e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8801307210193732 y[1] (closed_form) 1.7524506072347286 y[1] (numeric) 1.7524506072347252 absolute error 3.3306690738754696e-15 relative error 1.9005780020990626e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8901352763614516 y[1] (closed_form) 1.7548268450623492 y[1] (numeric) 1.754826845062346 absolute error 3.1086244689504383e-15 relative error 1.7714707737104334e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.90013983170353 y[1] (closed_form) 1.757244514249087 y[1] (numeric) 1.7572445142490833 absolute error 3.552713678800501e-15 relative error 2.021752607558238e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9101443870456085 y[1] (closed_form) 1.759704563939879 y[1] (numeric) 1.7597045639398736 absolute error 5.329070518200751e-15 relative error 3.0283893259157456e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.919987578591847 y[1] (closed_form) 1.7621672142846407 y[1] (numeric) 1.7621672142846352 absolute error 5.551115123125783e-15 relative error 3.1501636610458e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9299921339339254 y[1] (closed_form) 1.7647141378867333 y[1] (numeric) 1.7647141378867268 absolute error 6.439293542825908e-15 relative error 3.648915937477013e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9399966892760039 y[1] (closed_form) 1.7673062544892133 y[1] (numeric) 1.7673062544892055 absolute error 7.771561172376096e-15 relative error 4.397404893823698e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9500012446180823 y[1] (closed_form) 1.7699444997676266 y[1] (numeric) 1.7699444997676177 absolute error 8.881784197001252e-15 relative error 5.018114521764569e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9600057999601608 y[1] (closed_form) 1.7726298057823011 y[1] (numeric) 1.7726298057822911 absolute error 9.992007221626409e-15 relative error 5.636826814618923e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9700103553022392 y[1] (closed_form) 1.7753631008850574 y[1] (numeric) 1.7753631008850461 absolute error 1.1324274851176597e-14 relative error 6.378568330912813e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9800149106443177 y[1] (closed_form) 1.7781453096262885 y[1] (numeric) 1.7781453096262763 absolute error 1.2212453270876722e-14 relative error 6.86808507986527e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9900194659863961 y[1] (closed_form) 1.7809773526624224 y[1] (numeric) 1.7809773526624086 absolute error 1.3766765505351941e-14 relative error 7.729893636643778e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0000240213284743 y[1] (closed_form) 1.783860146663773 y[1] (numeric) 1.7838601466637591 absolute error 1.3766765505351941e-14 relative error 7.717401799181929e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.010028576670553 y[1] (closed_form) 1.7867946042227902 y[1] (numeric) 1.786794604222776 absolute error 1.4210854715202004e-14 relative error 7.953267085996916e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0200331320126312 y[1] (closed_form) 1.7897816337627184 y[1] (numeric) 1.7897816337627037 absolute error 1.4654943925052066e-14 relative error 8.188118398691176e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0300376873547097 y[1] (closed_form) 1.792822139446672 y[1] (numeric) 1.7928221394466561 absolute error 1.5765166949677223e-14 relative error 8.793491893480805e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.040042242696788 y[1] (closed_form) 1.7959170210871374 y[1] (numeric) 1.7959170210871198 absolute error 1.7541523789077473e-14 relative error 9.7674467044468e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0500467980388666 y[1] (closed_form) 1.799067174055911 y[1] (numeric) 1.7990671740558921 absolute error 1.887379141862766e-14 relative error 1.0490876433522824e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.060051353380945 y[1] (closed_form) 1.80227348919448 y[1] (numeric) 1.8022734891944603 absolute error 1.9761969838327786e-14 relative error 1.0965022765307574e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0700559087230235 y[1] (closed_form) 1.8055368527248596 y[1] (numeric) 1.805536852724839 absolute error 2.0650148258027912e-14 relative error 1.1437123660402364e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.080060464065102 y[1] (closed_form) 1.8088581461608892 y[1] (numeric) 1.8088581461608677 absolute error 2.1538326677728037e-14 relative error 1.1907139718745146e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0900650194071804 y[1] (closed_form) 1.8122382462200022 y[1] (numeric) 1.8122382462199798 absolute error 2.2426505097428162e-14 relative error 1.2375031342708805e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.100069574749259 y[1] (closed_form) 1.8156780247354747 y[1] (numeric) 1.8156780247354511 absolute error 2.353672812205332e-14 relative error 1.2963051709282198e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1100741300913373 y[1] (closed_form) 1.8191783485691637 y[1] (numeric) 1.8191783485691395 absolute error 2.4202861936828413e-14 relative error 1.3304282098489497e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1200786854334157 y[1] (closed_form) 1.8227400795247428 y[1] (numeric) 1.8227400795247173 absolute error 2.55351295663786e-14 relative error 1.4009199585404724e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.130083240775494 y[1] (closed_form) 1.826364074261444 y[1] (numeric) 1.8263640742614171 absolute error 2.6867397195928788e-14 relative error 1.4710866017660573e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1400877961175726 y[1] (closed_form) 1.8300511842083138 y[1] (numeric) 1.8300511842082856 absolute error 2.8199664825478976e-14 relative error 1.5409221921668954e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.150092351459651 y[1] (closed_form) 1.833802255478994 y[1] (numeric) 1.8338022554789646 absolute error 2.930988785010413e-14 relative error 1.5983123459758378e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1600969068017295 y[1] (closed_form) 1.8376181287870335 y[1] (numeric) 1.837618128787004 absolute error 2.9531932455029164e-14 relative error 1.6070766821680446e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.170101462143808 y[1] (closed_form) 1.8414996393617422 y[1] (numeric) 1.8414996393617116 absolute error 3.064215547965432e-14 relative error 1.663978358978924e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1801060174858864 y[1] (closed_form) 1.845447616864591 y[1] (numeric) 1.8454476168645593 absolute error 3.175237850427948e-14 relative error 1.7205786939770556e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.190110572827965 y[1] (closed_form) 1.8494628853061719 y[1] (numeric) 1.849462885306139 absolute error 3.2862601528904634e-14 relative error 1.7768727228859394e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2001151281700433 y[1] (closed_form) 1.8535462629637218 y[1] (numeric) 1.8535462629636885 absolute error 3.3306690738754696e-14 relative error 1.796917153041493e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2101196835121217 y[1] (closed_form) 1.857698562299222 y[1] (numeric) 1.8576985622991875 absolute error 3.441691376337985e-14 relative error 1.8526640684257727e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2201242388542 y[1] (closed_form) 1.861920589878077 y[1] (numeric) 1.861920589878041 absolute error 3.597122599785507e-14 relative error 1.9319420061953638e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2301287941962786 y[1] (closed_form) 1.8662131462883866 y[1] (numeric) 1.8662131462883496 absolute error 3.708144902248023e-14 relative error 1.9869889511940037e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.240133349538357 y[1] (closed_form) 1.8705770260608143 y[1] (numeric) 1.8705770260607757 absolute error 3.863576125695545e-14 relative error 2.0654461547791596e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2501379048804355 y[1] (closed_form) 1.8750130175890618 y[1] (numeric) 1.8750130175890216 absolute error 4.0190073491430667e-14 relative error 2.143455704809349e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.260142460222514 y[1] (closed_form) 1.8795219030509598 y[1] (numeric) 1.8795219030509183 absolute error 4.1522341120980855e-14 relative error 2.2091969800181176e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2699856517687524 y[1] (closed_form) 1.8840299575731079 y[1] (numeric) 1.8840299575730648 absolute error 4.3076653355456074e-14 relative error 2.2864102124440093e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.279990207110831 y[1] (closed_form) 1.888685745475244 y[1] (numeric) 1.8886857454751997 absolute error 4.418687638008123e-14 relative error 2.3395568313013678e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2899947624529093 y[1] (closed_form) 1.893416723513667 y[1] (numeric) 1.8934167235136214 absolute error 4.551914400963142e-14 relative error 2.404074256044399e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.299999317794988 y[1] (closed_form) 1.8982236483320225 y[1] (numeric) 1.8982236483319763 absolute error 4.618527782440651e-14 relative error 2.433078834782704e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3100038731370662 y[1] (closed_form) 1.9031072699742362 y[1] (numeric) 1.9031072699741884 absolute error 4.773959005888173e-14 relative error 2.508507576639546e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3200084284791447 y[1] (closed_form) 1.9080683318094414 y[1] (numeric) 1.9080683318093923 absolute error 4.907185768843192e-14 relative error 2.571808193152944e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.330012983821223 y[1] (closed_form) 1.9131075704575746 y[1] (numeric) 1.913107570457525 absolute error 4.951594689828198e-14 relative error 2.5882468745047525e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3400175391633016 y[1] (closed_form) 1.918225715715647 y[1] (numeric) 1.918225715715596 absolute error 5.10702591327572e-14 relative error 2.6623696426519873e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.35002209450538 y[1] (closed_form) 1.9234234904846998 y[1] (numeric) 1.923423490484647 absolute error 5.284661597215745e-14 relative error 2.7475288844912766e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3600266498474585 y[1] (closed_form) 1.9287016106974475 y[1] (numeric) 1.9287016106973944 absolute error 5.306866057708248e-14 relative error 2.75152259337265e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.370031205189537 y[1] (closed_form) 1.9340607852466212 y[1] (numeric) 1.9340607852465674 absolute error 5.3734794391857577e-14 relative error 2.7783405155492878e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3800357605316154 y[1] (closed_form) 1.9395017159140144 y[1] (numeric) 1.9395017159139591 absolute error 5.5289106626332796e-14 relative error 2.8506861413255884e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.390040315873694 y[1] (closed_form) 1.9450250973002419 y[1] (numeric) 1.9450250973001852 absolute error 5.6621374255882984e-14 relative error 2.9110870772040573e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4000448712157723 y[1] (closed_form) 1.9506316167552167 y[1] (numeric) 1.9506316167551587 absolute error 5.795364188543317e-14 relative error 2.9710193040875813e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4100494265578507 y[1] (closed_form) 1.9563219543093537 y[1] (numeric) 1.9563219543092945 absolute error 5.928590951498336e-14 relative error 3.0304781574622386e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.420053981899929 y[1] (closed_form) 1.9620967826055047 y[1] (numeric) 1.9620967826054434 absolute error 6.128431095930864e-14 relative error 3.1234091764794633e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4300585372420076 y[1] (closed_form) 1.967956766831633 y[1] (numeric) 1.9679567668315707 absolute error 6.217248937900877e-14 relative error 3.159240610712455e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.440063092584086 y[1] (closed_form) 1.973902564654235 y[1] (numeric) 1.9739025646541708 absolute error 6.417089082333405e-14 relative error 3.2509654717721466e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4500676479261645 y[1] (closed_form) 1.9799348261525145 y[1] (numeric) 1.9799348261524483 absolute error 6.616929226765933e-14 relative error 3.3419934532007826e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.460072203268243 y[1] (closed_form) 1.9860541937533154 y[1] (numeric) 1.9860541937532472 absolute error 6.816769371198461e-14 relative error 3.4323179058452024e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4700767586103214 y[1] (closed_form) 1.9922613021668218 y[1] (numeric) 1.9922613021667512 absolute error 7.061018436615996e-14 relative error 3.544223053941918e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4800813139524 y[1] (closed_form) 1.9985567783230285 y[1] (numeric) 1.9985567783229556 absolute error 7.283063041541027e-14 relative error 3.644161186980228e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4900858692944783 y[1] (closed_form) 2.004941241308993 y[1] (numeric) 2.004941241308918 absolute error 7.505107646466058e-14 relative error 3.743305535261521e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5000904246365567 y[1] (closed_form) 2.011415302306868 y[1] (numeric) 2.011415302306791 absolute error 7.682743330406083e-14 relative error 3.819570887024096e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.510094979978635 y[1] (closed_form) 2.0179795645327334 y[1] (numeric) 2.0179795645326557 absolute error 7.771561172376096e-14 relative error 3.851159500802782e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5200995353207136 y[1] (closed_form) 2.024634623176213 y[1] (numeric) 2.024634623176133 absolute error 7.993605777301127e-14 relative error 3.9481720236320425e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.530104090662792 y[1] (closed_form) 2.031381065340909 y[1] (numeric) 2.031381065340828 absolute error 8.08242361927114e-14 relative error 3.978782591396626e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5401086460048705 y[1] (closed_form) 2.0382194699856324 y[1] (numeric) 2.03821946998555 absolute error 8.260059303211165e-14 relative error 4.0525858107269434e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.550113201346949 y[1] (closed_form) 2.0451504078664597 y[1] (numeric) 2.045150407866376 absolute error 8.393286066166183e-14 relative error 4.103994519856474e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5601177566890274 y[1] (closed_form) 2.052174441479603 y[1] (numeric) 2.0521744414795164 absolute error 8.659739592076221e-14 relative error 4.219787273947633e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.570122312031106 y[1] (closed_form) 2.0592921250051095 y[1] (numeric) 2.0592921250050233 absolute error 8.615330671091215e-14 relative error 4.183636972374591e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5801268673731843 y[1] (closed_form) 2.066504004251396 y[1] (numeric) 2.066504004251308 absolute error 8.79296635503124e-14 relative error 4.2549960401439185e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5901314227152628 y[1] (closed_form) 2.073810616600616 y[1] (numeric) 2.073810616600525 absolute error 9.103828801926284e-14 relative error 4.389903653231968e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.600135978057341 y[1] (closed_form) 2.0812124909548735 y[1] (numeric) 2.0812124909547824 absolute error 9.103828801926284e-14 relative error 4.3742908720240235e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6101405333994196 y[1] (closed_form) 2.0887101476832868 y[1] (numeric) 2.0887101476831913 absolute error 9.547918011776346e-14 relative error 4.571202961007544e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.620145088741498 y[1] (closed_form) 2.096304098569903 y[1] (numeric) 2.096304098569806 absolute error 9.681144774731365e-14 relative error 4.618196749858876e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6299882802877366 y[1] (closed_form) 2.103870031798011 y[1] (numeric) 2.103870031797912 absolute error 9.903189379656396e-14 relative error 4.707129827403324e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.639992835629815 y[1] (closed_form) 2.111656498658081 y[1] (numeric) 2.111656498657982 absolute error 9.903189379656396e-14 relative error 4.689772880177099e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6499973909718935 y[1] (closed_form) 2.1195407352454496 y[1] (numeric) 2.1195407352453484 absolute error 1.0125233984581428e-13 relative error 4.777088647654084e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.660001946313972 y[1] (closed_form) 2.1275232186423736 y[1] (numeric) 2.12752321864227 absolute error 1.0347278589506459e-13 relative error 4.863532627441462e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6700065016560504 y[1] (closed_form) 2.1356044170993744 y[1] (numeric) 2.1356044170992687 absolute error 1.056932319443149e-13 relative error 4.9491015797705555e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.680011056998129 y[1] (closed_form) 2.143784789988368 y[1] (numeric) 2.1437847899882603 absolute error 1.0791367799356522e-13 relative error 5.033792500885816e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6900156123402073 y[1] (closed_form) 2.1520647877566876 y[1] (numeric) 2.1520647877565775 absolute error 1.1013412404281553e-13 relative error 5.11760262373975e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7000201676822857 y[1] (closed_form) 2.1604448518819983 y[1] (numeric) 2.160444851881886 absolute error 1.1235457009206584e-13 relative error 5.200529418475643e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.710024723024364 y[1] (closed_form) 2.1689254148281094 y[1] (numeric) 2.168925414827995 absolute error 1.1457501614131615e-13 relative error 5.282570592700459e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7200292783664426 y[1] (closed_form) 2.1775069000016885 y[1] (numeric) 2.177506900001573 absolute error 1.1546319456101628e-13 relative error 5.3025409270081646e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.730033833708521 y[1] (closed_form) 2.1861897217098827 y[1] (numeric) 2.1861897217097654 absolute error 1.1723955140041653e-13 relative error 5.362734543858346e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7400383890505995 y[1] (closed_form) 2.194974285118852 y[1] (numeric) 2.1949742851187324 absolute error 1.1945999744966684e-13 relative error 5.442432663542498e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.750042944392678 y[1] (closed_form) 2.203860986213213 y[1] (numeric) 2.203860986213092 absolute error 1.212363542890671e-13 relative error 5.501089000054473e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7600474997347564 y[1] (closed_form) 2.2128502117564084 y[1] (numeric) 2.212850211756286 absolute error 1.2256862191861728e-13 relative error 5.538947971599521e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.770052055076835 y[1] (closed_form) 2.221942339251992 y[1] (numeric) 2.2219423392518687 absolute error 1.234568003383174e-13 relative error 5.556255810845147e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7800566104189133 y[1] (closed_form) 2.231137736905848 y[1] (numeric) 2.2311377369057213 absolute error 1.2656542480726785e-13 relative error 5.672685406809055e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7900611657609917 y[1] (closed_form) 2.240436763589333 y[1] (numeric) 2.240436763589203 absolute error 1.3011813848606835e-13 relative error 5.8077130584846406e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.80006572110307 y[1] (closed_form) 2.2498397688033602 y[1] (numeric) 2.2498397688032292 absolute error 1.3100631690576847e-13 relative error 5.822917646061871e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8100702764451486 y[1] (closed_form) 2.2593470926434165 y[1] (numeric) 2.2593470926432824 absolute error 1.341149413747189e-13 relative error 5.936004335562519e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.820074831787227 y[1] (closed_form) 2.2689590657655208 y[1] (numeric) 2.268959065765384 absolute error 1.3677947663381929e-13 relative error 6.028291946627581e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8300793871293055 y[1] (closed_form) 2.278676009353131 y[1] (numeric) 2.2786760093529925 absolute error 1.3855583347321954e-13 relative error 6.080541196049748e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.840083942471384 y[1] (closed_form) 2.2884982350849947 y[1] (numeric) 2.288498235084853 absolute error 1.4166445794216997e-13 relative error 6.190280410546551e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8500884978134624 y[1] (closed_form) 2.2984260451039535 y[1] (numeric) 2.29842604510381 absolute error 1.4344081478157023e-13 relative error 6.240827939063955e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.860093053155541 y[1] (closed_form) 2.3084597319867033 y[1] (numeric) 2.308459731986556 absolute error 1.474376176702208e-13 relative error 6.3868394855358055e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8700976084976193 y[1] (closed_form) 2.318599578714507 y[1] (numeric) 2.3185995787143545 absolute error 1.5232259897857148e-13 relative error 6.569594869978506e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8801021638396977 y[1] (closed_form) 2.3288458586448733 y[1] (numeric) 2.328845858644717 absolute error 1.5631940186722204e-13 relative error 6.712312078833005e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.890106719181776 y[1] (closed_form) 2.339198835484196 y[1] (numeric) 2.339198835484038 absolute error 1.580957587066223e-13 relative error 6.758542980973128e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9001112745238546 y[1] (closed_form) 2.349658763261359 y[1] (numeric) 2.349658763261198 absolute error 1.6076029396572267e-13 relative error 6.841857059387856e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.910115829865933 y[1] (closed_form) 2.3602258863023087 y[1] (numeric) 2.3602258863021466 absolute error 1.6209256159527285e-13 relative error 6.867671545167999e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9201203852080115 y[1] (closed_form) 2.370900439205604 y[1] (numeric) 2.370900439205439 absolute error 1.652011860642233e-13 relative error 6.967866863257056e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.93012494055009 y[1] (closed_form) 2.381682646818931 y[1] (numeric) 2.3816826468187626 absolute error 1.6830981053317373e-13 relative error 7.0668445587398025e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9401294958921684 y[1] (closed_form) 2.392572724216599 y[1] (numeric) 2.392572724216429 absolute error 1.7008616737257398e-13 relative error 7.1089236139421995e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.950134051234247 y[1] (closed_form) 2.403570876678015 y[1] (numeric) 2.403570876677841 absolute error 1.7363888105137448e-13 relative error 7.224204733723579e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9601386065763253 y[1] (closed_form) 2.4146772996671353 y[1] (numeric) 2.4146772996669585 absolute error 1.7674750552032492e-13 relative error 7.319715373341592e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9701431619184038 y[1] (closed_form) 2.4258921788129033 y[1] (numeric) 2.425892178812722 absolute error 1.8118839761882555e-13 relative error 7.468938611586979e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9799863534646422 y[1] (closed_form) 2.4370321897976526 y[1] (numeric) 2.4370321897974683 absolute error 1.8429702208777599e-13 relative error 7.562354853551532e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9899909088067207 y[1] (closed_form) 2.4484627426432706 y[1] (numeric) 2.448462742643083 absolute error 1.8740564655672642e-13 relative error 7.65401258891161e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.999995464148799 y[1] (closed_form) 2.4600022469035645 y[1] (numeric) 2.4600022469033713 absolute error 1.9317880628477724e-13 relative error 7.852789830900919e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0100000194908776 y[1] (closed_form) 2.471650848851346 y[1] (numeric) 2.4716508488511506 absolute error 1.9539925233402755e-13 relative error 7.905617107077876e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.020004574832956 y[1] (closed_form) 2.483408684841625 y[1] (numeric) 2.483408684841427 absolute error 1.9806378759312793e-13 relative error 7.975480991190908e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0300091301750345 y[1] (closed_form) 2.4952758812979585 y[1] (numeric) 2.49527588129776 absolute error 1.98507876802978e-13 relative error 7.955347875190493e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.040013685517113 y[1] (closed_form) 2.507252554699797 y[1] (numeric) 2.5072525546995945 absolute error 2.0250467969162855e-13 relative error 8.076756340801703e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0500182408591914 y[1] (closed_form) 2.5193388115708273 y[1] (numeric) 2.519338811570621 absolute error 2.0650148258027912e-13 relative error 8.196653885212202e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.06002279620127 y[1] (closed_form) 2.531534748468309 y[1] (numeric) 2.5315347484680992 absolute error 2.0961010704922955e-13 relative error 8.279961678426614e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0700273515433483 y[1] (closed_form) 2.543840451973411 y[1] (numeric) 2.5438404519731965 absolute error 2.1449508835758024e-13 relative error 8.431939518501777e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0800319068854267 y[1] (closed_form) 2.5562559986825453 y[1] (numeric) 2.556255998682328 absolute error 2.1715962361668062e-13 relative error 8.495222064167333e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.090036462227505 y[1] (closed_form) 2.5687814551997006 y[1] (numeric) 2.5687814551994794 absolute error 2.2115642650533118e-13 relative error 8.609390497493225e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1000410175695836 y[1] (closed_form) 2.581416878129776 y[1] (numeric) 2.5814168781295503 absolute error 2.255973186038318e-13 relative error 8.739282698394533e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.110045572911662 y[1] (closed_form) 2.5941623140729146 y[1] (numeric) 2.594162314072685 absolute error 2.2959412149248237e-13 relative error 8.850414650115418e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1200501282537405 y[1] (closed_form) 2.60701779961984 y[1] (numeric) 2.607017799619607 absolute error 2.3314683517128287e-13 relative error 8.94304730889374e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.130054683595819 y[1] (closed_form) 2.6199833613481944 y[1] (numeric) 2.619983361347956 absolute error 2.384759056894836e-13 relative error 9.102191609597413e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1400592389378974 y[1] (closed_form) 2.633059015819877 y[1] (numeric) 2.6330590158196348 absolute error 2.4202861936828413e-13 relative error 9.191917762349194e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.150063794279976 y[1] (closed_form) 2.646244769579387 y[1] (numeric) 2.6462447695791425 absolute error 2.446931546273845e-13 relative error 9.246807303705233e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1600683496220543 y[1] (closed_form) 2.6595406191531694 y[1] (numeric) 2.6595406191529225 absolute error 2.469136006766348e-13 relative error 9.284069545636614e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1700729049641327 y[1] (closed_form) 2.6729465510499626 y[1] (numeric) 2.6729465510497117 absolute error 2.509104035652854e-13 relative error 9.387034075437275e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.180077460306211 y[1] (closed_form) 2.6864625417621455 y[1] (numeric) 2.6864625417618924 absolute error 2.531308496145357e-13 relative error 9.422459672506665e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1900820156482896 y[1] (closed_form) 2.7000885577680953 y[1] (numeric) 2.700088557767838 absolute error 2.5712765250318625e-13 relative error 9.52293404464219e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.200086570990368 y[1] (closed_form) 2.71382455553554 y[1] (numeric) 2.7138245555352793 absolute error 2.6068036618198676e-13 relative error 9.605645495773204e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2100911263324465 y[1] (closed_form) 2.727670481525915 y[1] (numeric) 2.727670481525652 absolute error 2.6290081223123707e-13 relative error 9.63829076905818e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.220095681674525 y[1] (closed_form) 2.741626272199724 y[1] (numeric) 2.7416262721994564 absolute error 2.6778579353958776e-13 relative error 9.767406894767307e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2301002370166034 y[1] (closed_form) 2.755691854022896 y[1] (numeric) 2.7556918540226243 absolute error 2.717825964282383e-13 relative error 9.862590261370355e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.240104792358682 y[1] (closed_form) 2.7698671434741478 y[1] (numeric) 2.769867143473872 absolute error 2.757793993168889e-13 relative error 9.956412529266237e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2501093477007603 y[1] (closed_form) 2.7841520470533423 y[1] (numeric) 2.784152047053061 absolute error 2.8110846983508964e-13 relative error 1.009673556200373e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2601139030428388 y[1] (closed_form) 2.7985464612908473 y[1] (numeric) 2.798546461290562 absolute error 2.851052727237402e-13 relative error 1.0187619775740067e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.270118458384917 y[1] (closed_form) 2.813050272757891 y[1] (numeric) 2.813050272757602 absolute error 2.8910207561239076e-13 relative error 1.0277174155474922e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2801230137269957 y[1] (closed_form) 2.8276633580779174 y[1] (numeric) 2.827663358077624 absolute error 2.935429677108914e-13 relative error 1.0381114388044587e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.290127569069074 y[1] (closed_form) 2.8423855839389325 y[1] (numeric) 2.8423855839386345 absolute error 2.97983859809392e-13 relative error 1.0483583279241472e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3001321244111526 y[1] (closed_form) 2.857216807106849 y[1] (numeric) 2.857216807106547 absolute error 3.019806626980426e-13 relative error 1.0569049641137354e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.310136679753231 y[1] (closed_form) 2.8721568744398223 y[1] (numeric) 2.872156874439517 absolute error 3.05089287166993e-13 relative error 1.0622305831623379e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3201412350953095 y[1] (closed_form) 2.887205622903578 y[1] (numeric) 2.8872056229032688 absolute error 3.090860900556436e-13 relative error 1.0705371574637098e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.329984426641548 y[1] (closed_form) 2.9021175476992656 y[1] (numeric) 2.9021175476989525 absolute error 3.1308289294429414e-13 relative error 1.0788084486532923e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3399889819836264 y[1] (closed_form) 2.9173813841517595 y[1] (numeric) 2.917381384151442 absolute error 3.1752378504279477e-13 relative error 1.088386272592591e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.349993537325705 y[1] (closed_form) 2.9327533566303474 y[1] (numeric) 2.9327533566300263 absolute error 3.2107649872159527e-13 relative error 1.0947954351350681e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3599980926677833 y[1] (closed_form) 2.948233262862345 y[1] (numeric) 2.9482332628620194 absolute error 3.255173908200959e-13 relative error 1.1041100272509019e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3700026480098617 y[1] (closed_form) 2.963820890773761 y[1] (numeric) 2.9638208907734316 absolute error 3.2951419370874646e-13 relative error 1.1117884847040152e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.38000720335194 y[1] (closed_form) 2.9795160185105263 y[1] (numeric) 2.979516018510195 absolute error 3.312905505481467e-13 relative error 1.1118938394355751e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3900117586940186 y[1] (closed_form) 2.995318414460696 y[1] (numeric) 2.9953184144603604 absolute error 3.3573144264664734e-13 relative error 1.120853933344163e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.400016314036097 y[1] (closed_form) 3.0112278372776347 y[1] (numeric) 3.011227837277295 absolute error 3.397282455352979e-13 relative error 1.128205050875315e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4100208693781755 y[1] (closed_form) 3.027244035904171 y[1] (numeric) 3.0272440359038266 absolute error 3.4416913763379853e-13 relative error 1.1369058244126752e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.420025424720254 y[1] (closed_form) 3.043366749597727 y[1] (numeric) 3.043366749597377 absolute error 3.4994229736184934e-13 relative error 1.1498525355450664e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4300299800623324 y[1] (closed_form) 3.0595957079564142 y[1] (numeric) 3.059595707956062 absolute error 3.5216274341109965e-13 relative error 1.15101071195553e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.440034535404411 y[1] (closed_form) 3.075930630946102 y[1] (numeric) 3.075930630945746 absolute error 3.561595462997502e-13 relative error 1.1578919976820212e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4500390907464893 y[1] (closed_form) 3.0923712289284415 y[1] (numeric) 3.0923712289280805 absolute error 3.610445276081009e-13 relative error 1.1675329411637584e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4600436460885677 y[1] (closed_form) 3.1089172026898586 y[1] (numeric) 3.108917202689494 absolute error 3.645972412869014e-13 relative error 1.1727467073470118e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.470048201430646 y[1] (closed_form) 3.125568243471502 y[1] (numeric) 3.125568243471131 absolute error 3.708144902248023e-13 relative error 1.1863906379242787e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4800527567727246 y[1] (closed_form) 3.142324033000147 y[1] (numeric) 3.142324032999771 absolute error 3.7614356074300304e-13 relative error 1.1970234666851923e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.490057312114803 y[1] (closed_form) 3.1591842435200497 y[1] (numeric) 3.15918424351967 absolute error 3.7969627442180354e-13 relative error 1.2018807551367613e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5000618674568815 y[1] (closed_form) 3.1761485378257555 y[1] (numeric) 3.176148537825371 absolute error 3.8458125573015423e-13 relative error 1.2108415307094573e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.51006642279896 y[1] (closed_form) 3.1932165692958465 y[1] (numeric) 3.1932165692954575 absolute error 3.8902214782865485e-13 relative error 1.2182767419199513e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5200709781410384 y[1] (closed_form) 3.2103879819276377 y[1] (numeric) 3.2103879819272434 absolute error 3.943512183468556e-13 relative error 1.2283600006192158e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.530075533483117 y[1] (closed_form) 3.227662410372808 y[1] (numeric) 3.2276624103724103 absolute error 3.979039320256561e-13 relative error 1.2327929053140864e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5400800888251953 y[1] (closed_form) 3.2450394799739697 y[1] (numeric) 3.2450394799735665 absolute error 4.0323300254385686e-13 relative error 1.2426135491796588e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5500846441672738 y[1] (closed_form) 3.2625188068021638 y[1] (numeric) 3.2625188068017557 absolute error 4.0811798385220754e-13 relative error 1.2509291379449065e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.560089199509352 y[1] (closed_form) 3.280099997695294 y[1] (numeric) 3.280099997694882 absolute error 4.1167069753100805e-13 relative error 1.2550553270335094e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5700937548514307 y[1] (closed_form) 3.297782650297472 y[1] (numeric) 3.2977826502970564 absolute error 4.156675004196586e-13 relative error 1.2604454098336769e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.580098310193509 y[1] (closed_form) 3.3155663530992947 y[1] (numeric) 3.3155663530988737 absolute error 4.2099657093785936e-13 relative error 1.2697576404837262e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5901028655355876 y[1] (closed_form) 3.3334506854790282 y[1] (numeric) 3.3334506854786032 absolute error 4.249933738265099e-13 relative error 1.27493523656384e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.600107420877666 y[1] (closed_form) 3.351435217744711 y[1] (numeric) 3.351435217744281 absolute error 4.298783551348606e-13 relative error 1.2826694451941088e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6101119762197444 y[1] (closed_form) 3.36951951117716 y[1] (numeric) 3.3695195111767244 absolute error 4.3565151486291143e-13 relative error 1.292918807615731e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.620116531561823 y[1] (closed_form) 3.387703118073883 y[1] (numeric) 3.3877031180734427 absolute error 4.4009240696141205e-13 relative error 1.2990878823278695e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6301210869039013 y[1] (closed_form) 3.4059855817938884 y[1] (numeric) 3.4059855817934444 absolute error 4.440892098500626e-13 relative error 1.3038493533967533e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.64012564224598 y[1] (closed_form) 3.4243664368033926 y[1] (numeric) 3.424366436802944 absolute error 4.4853010194856324e-13 relative error 1.3098192329184871e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6501301975880582 y[1] (closed_form) 3.4428452087224133 y[1] (numeric) 3.4428452087219603 absolute error 4.5297099404706387e-13 relative error 1.315687945828835e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6601347529301367 y[1] (closed_form) 3.461421414372251 y[1] (numeric) 3.4614214143717925 absolute error 4.583000645652646e-13 relative error 1.3240227343089344e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.670139308272215 y[1] (closed_form) 3.4800945618238504 y[1] (numeric) 3.4800945618233854 absolute error 4.649614027130156e-13 relative error 1.3360596801408128e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6801438636142936 y[1] (closed_form) 3.4988641504470386 y[1] (numeric) 3.4988641504465687 absolute error 4.698463840213662e-13 relative error 1.342854034390948e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.689987055160532 y[1] (closed_form) 3.5174246299114444 y[1] (numeric) 3.5174246299109706 absolute error 4.738431869100168e-13 relative error 1.3471310312680286e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6999916105026105 y[1] (closed_form) 3.536384029652613 y[1] (numeric) 3.536384029652133 absolute error 4.796163466380676e-13 relative error 1.356233776129742e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.709996165844689 y[1] (closed_form) 3.5554383255318935 y[1] (numeric) 3.5554383255314095 absolute error 4.840572387365683e-13 relative error 1.3614558724321375e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7200007211867674 y[1] (closed_form) 3.5745869827609575 y[1] (numeric) 3.574586982760466 absolute error 4.916067553040193e-13 relative error 1.3752826765018588e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.730005276528846 y[1] (closed_form) 3.593829458108636 y[1] (numeric) 3.5938294581081376 absolute error 4.982680934517703e-13 relative error 1.386454474982236e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7400098318709243 y[1] (closed_form) 3.6131651999552905 y[1] (numeric) 3.6131651999547882 absolute error 5.022648963404208e-13 relative error 1.3900966840559515e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7500143872130027 y[1] (closed_form) 3.632593648348029 y[1] (numeric) 3.632593648347523 absolute error 5.058176100192213e-13 relative error 1.392442037245891e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.760018942555081 y[1] (closed_form) 3.6521142350567466 y[1] (numeric) 3.6521142350562354 absolute error 5.111466805374221e-13 relative error 1.3995911618287041e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7700234978971596 y[1] (closed_form) 3.671726383631005 y[1] (numeric) 3.6717263836304888 absolute error 5.160316618457728e-13 relative error 1.405419707051984e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.780028053239238 y[1] (closed_form) 3.6914295094577243 y[1] (numeric) 3.6914295094572016 absolute error 5.226929999935237e-13 relative error 1.415963649459767e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7900326085813165 y[1] (closed_form) 3.7112230198197014 y[1] (numeric) 3.711223019819175 absolute error 5.262457136723242e-13 relative error 1.4179846127864616e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.800037163923395 y[1] (closed_form) 3.731106313954934 y[1] (numeric) 3.7311063139544034 absolute error 5.306866057708248e-13 relative error 1.4223304326279101e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8100417192654734 y[1] (closed_form) 3.7510787831167494 y[1] (numeric) 3.751078783116211 absolute error 5.382361223382759e-13 relative error 1.4348835453971954e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.820046274607552 y[1] (closed_form) 3.771139810634736 y[1] (numeric) 3.7711398106341942 absolute error 5.417888360170764e-13 relative error 1.4366713068797247e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8300508299496303 y[1] (closed_form) 3.791288771976466 y[1] (numeric) 3.7912887719759176 absolute error 5.484501741648273e-13 relative error 1.446606173127009e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8400553852917088 y[1] (closed_form) 3.8115250348100034 y[1] (numeric) 3.8115250348094505 absolute error 5.52891066263328e-13 relative error 1.4505770294406276e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.850059940633787 y[1] (closed_form) 3.831847959067196 y[1] (numeric) 3.831847959066637 absolute error 5.591083152012288e-13 relative error 1.4591088194880653e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8600644959758657 y[1] (closed_form) 3.8522568970077398 y[1] (numeric) 3.8522568970071758 absolute error 5.639932965095795e-13 relative error 1.4640594113743145e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.870069051317944 y[1] (closed_form) 3.8727511932840093 y[1] (numeric) 3.8727511932834413 absolute error 5.679900993982301e-13 relative error 1.466632042830995e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8800736066600225 y[1] (closed_form) 3.8933301850066555 y[1] (numeric) 3.8933301850060813 absolute error 5.74207348336131e-13 relative error 1.4748488339042567e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.890078162002101 y[1] (closed_form) 3.913993201810951 y[1] (numeric) 3.9139932018103716 absolute error 5.795364188543317e-13 relative error 1.4806781437080376e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9000827173441794 y[1] (closed_form) 3.9347395659238886 y[1] (numeric) 3.9347395659233015 absolute error 5.870859354217828e-13 relative error 1.4920579255260906e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.910087272686258 y[1] (closed_form) 3.95556859223202 y[1] (numeric) 3.9555685922314283 absolute error 5.915268275202834e-13 relative error 1.495428062306716e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9200918280283363 y[1] (closed_form) 3.9764795883500286 y[1] (numeric) 3.9764795883494304 absolute error 5.981881656680343e-13 relative error 1.5043159467498793e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.930096383370415 y[1] (closed_form) 3.9974718546900294 y[1] (numeric) 3.9974718546894255 absolute error 6.039613253960852e-13 relative error 1.5108582307777558e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9401009387124932 y[1] (closed_form) 4.0185446845315935 y[1] (numeric) 4.018544684530983 absolute error 6.10178574333986e-13 relative error 1.518406841866707e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9501054940545717 y[1] (closed_form) 4.039697364092483 y[1] (numeric) 4.039697364091867 absolute error 6.155076448521868e-13 relative error 1.5236479106658536e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.96011004939665 y[1] (closed_form) 4.0609291726000905 y[1] (numeric) 4.0609291725994705 absolute error 6.199485369506874e-13 relative error 1.5266174577325934e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9701146047387286 y[1] (closed_form) 4.082239382363587 y[1] (numeric) 4.082239382362963 absolute error 6.24389429049188e-13 relative error 1.5295267390411364e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.980119160080807 y[1] (closed_form) 4.103627258846754 y[1] (numeric) 4.103627258846125 absolute error 6.288303211476887e-13 relative error 1.5323768010167897e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9901237154228855 y[1] (closed_form) 4.125092060741501 y[1] (numeric) 4.125092060740864 absolute error 6.368239269249898e-13 relative error 1.543781126694463e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.0001282707649635 y[1] (closed_form) 4.146633040042066 y[1] (numeric) 4.146633040041428 absolute error 6.377121053446899e-13 relative error 1.5379034006303595e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.010132826107042 y[1] (closed_form) 4.168249442119886 y[1] (numeric) 4.168249442119246 absolute error 6.394884621840902e-13 relative error 1.5341895226377324e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.02013738144912 y[1] (closed_form) 4.189940505799122 y[1] (numeric) 4.189940505798472 absolute error 6.492584248007915e-13 relative error 1.5495647823690575e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.030141936791199 y[1] (closed_form) 4.21170546343285 y[1] (numeric) 4.211705463432195 absolute error 6.545874953189923e-13 relative error 1.5542100486425168e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.039985128337437 y[1] (closed_form) 4.233190737843034 y[1] (numeric) 4.233190737842376 absolute error 6.581402089977928e-13 relative error 1.5547142799739266e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.049989683679516 y[1] (closed_form) 4.255099994402959 y[1] (numeric) 4.255099994402295 absolute error 6.634692795159935e-13 relative error 1.5592331094185867e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.059994239021594 y[1] (closed_form) 4.277080816657746 y[1] (numeric) 4.277080816657072 absolute error 6.732392421326949e-13 relative error 1.5740624762353373e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.069998794363673 y[1] (closed_form) 4.299132411949552 y[1] (numeric) 4.299132411948872 absolute error 6.803446694902959e-13 relative error 1.5825162016393354e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.080003349705751 y[1] (closed_form) 4.321253981538654 y[1] (numeric) 4.32125398153797 absolute error 6.847855615887966e-13 relative error 1.584691768904005e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.0900079050478295 y[1] (closed_form) 4.343444720683399 y[1] (numeric) 4.343444720682711 absolute error 6.883382752675971e-13 relative error 1.584775033488382e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.100012460389908 y[1] (closed_form) 4.365703818720744 y[1] (numeric) 4.3657038187200525 absolute error 6.918909889463976e-13 relative error 1.5848326356439317e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.110017015731986 y[1] (closed_form) 4.388030459147403 y[1] (numeric) 4.388030459146706 absolute error 6.972200594645983e-13 relative error 1.588913445236359e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.120021571074065 y[1] (closed_form) 4.410423819701564 y[1] (numeric) 4.4104238197008625 absolute error 7.016609515630989e-13 relative error 1.590915023696243e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.130026126416143 y[1] (closed_form) 4.432883072445197 y[1] (numeric) 4.43288307244449 absolute error 7.069900220812997e-13 relative error 1.5948763153171125e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.140030681758222 y[1] (closed_form) 4.4554073838469135 y[1] (numeric) 4.455407383846204 absolute error 7.096545573404001e-13 relative error 1.59279387091123e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.1500352371003 y[1] (closed_form) 4.477995914865404 y[1] (numeric) 4.4779959148646915 absolute error 7.123190925995004e-13 relative error 1.5907095632553984e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.160039792442379 y[1] (closed_form) 4.500647821033413 y[1] (numeric) 4.500647821032696 absolute error 7.167599846980011e-13 relative error 1.5925706991519787e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.170044347784457 y[1] (closed_form) 4.523362252542261 y[1] (numeric) 4.523362252541536 absolute error 7.256417688950023e-13 relative error 1.60420883489305e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.1800489031265355 y[1] (closed_form) 4.5461383543269065 y[1] (numeric) 4.546138354326175 absolute error 7.318590178329032e-13 relative error 1.6098476570479586e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.190053458468614 y[1] (closed_form) 4.568975266151525 y[1] (numeric) 4.568975266150786 absolute error 7.389644451905042e-13 relative error 1.6173526932067163e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.200058013810692 y[1] (closed_form) 4.591872122695612 y[1] (numeric) 4.591872122694866 absolute error 7.460698725481052e-13 relative error 1.624761867519369e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.210062569152771 y[1] (closed_form) 4.614828053640595 y[1] (numeric) 4.614828053639846 absolute error 7.496225862269057e-13 relative error 1.624378151284608e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.220067124494849 y[1] (closed_form) 4.637842183756943 y[1] (numeric) 4.637842183756186 absolute error 7.567280135845067e-13 relative error 1.631638127392057e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.230071679836928 y[1] (closed_form) 4.660913632991766 y[1] (numeric) 4.660913632991009 absolute error 7.576161920042068e-13 relative error 1.6254671329704622e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.240076235179006 y[1] (closed_form) 4.684041516556903 y[1] (numeric) 4.684041516556138 absolute error 7.647216193618078e-13 relative error 1.6326106774645575e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.250080790521085 y[1] (closed_form) 4.707224945017477 y[1] (numeric) 4.707224945016707 absolute error 7.700506898800086e-13 relative error 1.6358909949589196e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.260085345863163 y[1] (closed_form) 4.730463024380925 y[1] (numeric) 4.730463024380149 absolute error 7.762679388179095e-13 relative error 1.6409977941207975e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.270089901205242 y[1] (closed_form) 4.753754856186472 y[1] (numeric) 4.75375485618569 absolute error 7.815970093361102e-13 relative error 1.6441676800370776e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.28009445654732 y[1] (closed_form) 4.77709953759506 y[1] (numeric) 4.777099537594273 absolute error 7.86926079854311e-13 relative error 1.6472884302730565e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.2900990118893985 y[1] (closed_form) 4.800496161479715 y[1] (numeric) 4.800496161478922 absolute error 7.931433287922118e-13 relative error 1.6522111509151415e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.300103567231477 y[1] (closed_form) 4.823943816516339 y[1] (numeric) 4.823943816515541 absolute error 7.975842208907125e-13 relative error 1.6533862151543385e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.310108122573555 y[1] (closed_form) 4.847441587274927 y[1] (numeric) 4.847441587274125 absolute error 8.020251129892131e-13 relative error 1.6545328057064536e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.320112677915634 y[1] (closed_form) 4.870988554311192 y[1] (numeric) 4.870988554310385 absolute error 8.073541835074138e-13 relative error 1.657475016632598e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.330117233257712 y[1] (closed_form) 4.894583794258592 y[1] (numeric) 4.89458379425778 absolute error 8.117950756059145e-13 relative error 1.65855792796552e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.340121788599791 y[1] (closed_form) 4.91822637992075 y[1] (numeric) 4.918226379919929 absolute error 8.206768598029157e-13 relative error 1.668643930571044e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.350126343941869 y[1] (closed_form) 4.941915380364256 y[1] (numeric) 4.941915380363429 absolute error 8.277822871605167e-13 relative error 1.6750231913107e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.360130899283948 y[1] (closed_form) 4.96564986101185 y[1] (numeric) 4.965649861011018 absolute error 8.322231792590173e-13 relative error 1.6759602520372536e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.370135454626026 y[1] (closed_form) 4.989428883735957 y[1] (numeric) 4.98942888373512 absolute error 8.36664071357518e-13 relative error 1.6768734275074893e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.3801400099681045 y[1] (closed_form) 5.013251506952587 y[1] (numeric) 5.013251506951745 absolute error 8.419931418757187e-13 relative error 1.6795350097795958e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.390144565310183 y[1] (closed_form) 5.03711678571558 y[1] (numeric) 5.037116785714733 absolute error 8.464340339742193e-13 relative error 1.6803939038589787e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.399987756856421 y[1] (closed_form) 5.060637849324536 y[1] (numeric) 5.060637849323684 absolute error 8.517631044924201e-13 relative error 1.6831141248451682e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.4099923121985 y[1] (closed_form) 5.084584941577345 y[1] (numeric) 5.084584941576488 absolute error 8.570921750106208e-13 relative error 1.685667925423098e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.419996867540578 y[1] (closed_form) 5.108571850730935 y[1] (numeric) 5.108571850730069 absolute error 8.659739592076221e-13 relative error 1.6951390418120837e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.430001422882657 y[1] (closed_form) 5.132597619386818 y[1] (numeric) 5.132597619385945 absolute error 8.730793865652231e-13 relative error 1.7010477955011177e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.440005978224735 y[1] (closed_form) 5.156661287258865 y[1] (numeric) 5.156661287257989 absolute error 8.766321002440236e-13 relative error 1.6999993821777975e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.450010533566814 y[1] (closed_form) 5.180761891269419 y[1] (numeric) 5.1807618912685385 absolute error 8.801848139228241e-13 relative error 1.6989485955841843e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.460015088908892 y[1] (closed_form) 5.204898465645686 y[1] (numeric) 5.204898465644798 absolute error 8.872902412804251e-13 relative error 1.7047215178871962e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.4700196442509705 y[1] (closed_form) 5.229070042016406 y[1] (numeric) 5.229070042015513 absolute error 8.926193117986259e-13 relative error 1.7070326169400838e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.480024199593049 y[1] (closed_form) 5.2532756495087725 y[1] (numeric) 5.2532756495078745 absolute error 8.979483823168266e-13 relative error 1.709311374895762e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.490028754935127 y[1] (closed_form) 5.277514314845608 y[1] (numeric) 5.277514314844706 absolute error 9.023892744153272e-13 relative error 1.7098755599334197e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.500033310277206 y[1] (closed_form) 5.301785062442785 y[1] (numeric) 5.301785062441875 absolute error 9.094947017729282e-13 relative error 1.7154499683808017e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.510037865619284 y[1] (closed_form) 5.326086914506863 y[1] (numeric) 5.3260869145059475 absolute error 9.157119507108291e-13 relative error 1.7192959210197453e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.520042420961363 y[1] (closed_form) 5.350418891132964 y[1] (numeric) 5.3504188911320485 absolute error 9.157119507108291e-13 relative error 1.7114771186016894e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.530046976303441 y[1] (closed_form) 5.374780010402848 y[1] (numeric) 5.374780010401926 absolute error 9.2192919964873e-13 relative error 1.7152873194146416e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.54005153164552 y[1] (closed_form) 5.399169288483195 y[1] (numeric) 5.39916928848227 absolute error 9.254819133275305e-13 relative error 1.7141190873596945e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.550056086987598 y[1] (closed_form) 5.423585739724077 y[1] (numeric) 5.423585739723145 absolute error 9.316991622654314e-13 relative error 1.7178656464142692e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.560060642329677 y[1] (closed_form) 5.448028376757609 y[1] (numeric) 5.448028376756668 absolute error 9.405809464624326e-13 relative error 1.726461173504788e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.570065197671755 y[1] (closed_form) 5.4724962105967805 y[1] (numeric) 5.472496210595832 absolute error 9.485745522397337e-13 relative error 1.7333489430343358e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.5800697530138335 y[1] (closed_form) 5.496988250734437 y[1] (numeric) 5.496988250733485 absolute error 9.521272659185342e-13 relative error 1.7320889594248692e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.590074308355912 y[1] (closed_form) 5.521503505242426 y[1] (numeric) 5.521503505241466 absolute error 9.601208716958354e-13 relative error 1.7388757804540786e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.60007886369799 y[1] (closed_form) 5.546040980870876 y[1] (numeric) 5.546040980869907 absolute error 9.690026558928366e-13 relative error 1.7471970712713297e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.610083419040069 y[1] (closed_form) 5.570599683147613 y[1] (numeric) 5.570599683146637 absolute error 9.761080832504376e-13 relative error 1.7522495579845674e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.620087974382147 y[1] (closed_form) 5.595178616477695 y[1] (numeric) 5.595178616476713 absolute error 9.823253321883385e-13 relative error 1.755663937689869e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.630092529724226 y[1] (closed_form) 5.619776784243064 y[1] (numeric) 5.619776784242074 absolute error 9.903189379656396e-13 relative error 1.7622033329550243e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.640097085066304 y[1] (closed_form) 5.644393188902297 y[1] (numeric) 5.644393188901302 absolute error 9.956480084838404e-13 relative error 1.763959340113708e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.650101640408383 y[1] (closed_form) 5.66902683209045 y[1] (numeric) 5.669026832089446 absolute error 1.0045297926808416e-12 relative error 1.7719616125196955e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.660106195750461 y[1] (closed_form) 5.6936767147189835 y[1] (numeric) 5.6936767147179745 absolute error 1.0089706847793423e-12 relative error 1.772089873264153e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.6701107510925395 y[1] (closed_form) 5.718341837075762 y[1] (numeric) 5.718341837074748 absolute error 1.014299755297543e-12 relative error 1.7737655148930976e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.680115306434618 y[1] (closed_form) 5.7430211989251205 y[1] (numeric) 5.743021198924094 absolute error 1.0267342531733448e-12 relative error 1.7877946425924933e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.690119861776696 y[1] (closed_form) 5.767713799607969 y[1] (numeric) 5.767713799606932 absolute error 1.0365042157900461e-12 relative error 1.7970798340592027e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.700124417118775 y[1] (closed_form) 5.792418638141957 y[1] (numeric) 5.792418638140913 absolute error 1.0436096431476471e-12 relative error 1.8016820059856853e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.710128972460853 y[1] (closed_form) 5.817134713321655 y[1] (numeric) 5.817134713320605 absolute error 1.0507150705052481e-12 relative error 1.8062415988047094e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.720133527802932 y[1] (closed_form) 5.841861023818777 y[1] (numeric) 5.84186102381772 absolute error 1.056932319443149e-12 relative error 1.8092390680534213e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.73013808314501 y[1] (closed_form) 5.866596568282388 y[1] (numeric) 5.866596568281322 absolute error 1.0658141036401503e-12 relative error 1.816750293351427e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.740142638487089 y[1] (closed_form) 5.891340345439141 y[1] (numeric) 5.891340345438066 absolute error 1.0746958878371515e-12 relative error 1.8241958957084215e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.749985830033327 y[1] (closed_form) 5.915692092247882 y[1] (numeric) 5.9156920922468075 absolute error 1.0746958878371515e-12 relative error 1.8166866548809538e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.7599903853754055 y[1] (closed_form) 5.940449239224916 y[1] (numeric) 5.940449239223835 absolute error 1.0818013151947525e-12 relative error 1.8210766082329174e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.769994940717484 y[1] (closed_form) 5.96521163267523 y[1] (numeric) 5.965211632674142 absolute error 1.0880185641326534e-12 relative error 1.823939586942547e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.779999496059562 y[1] (closed_form) 5.989978272629255 y[1] (numeric) 5.989978272628161 absolute error 1.0942358130705543e-12 relative error 1.8267775996293353e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.790004051401641 y[1] (closed_form) 6.014748159694205 y[1] (numeric) 6.014748159693107 absolute error 1.098676705169055e-12 relative error 1.8266379173303782e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.800008606743719 y[1] (closed_form) 6.039520295154105 y[1] (numeric) 6.039520295152996 absolute error 1.1093348462054564e-12 relative error 1.8367929769116712e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.810013162085798 y[1] (closed_form) 6.064293681069749 y[1] (numeric) 6.064293681068633 absolute error 1.1164402735630574e-12 relative error 1.8410062775292834e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.820017717427876 y[1] (closed_form) 6.08906732037859 y[1] (numeric) 6.089067320377465 absolute error 1.1253220577600587e-12 relative error 1.848102506592243e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.830022272769955 y[1] (closed_form) 6.113840216994536 y[1] (numeric) 6.113840216993405 absolute error 1.1306511282782594e-12 relative error 1.8493305159258302e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.840026828112033 y[1] (closed_form) 6.138611375907642 y[1] (numeric) 6.138611375906504 absolute error 1.1377565556358604e-12 relative error 1.8534428814002485e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.8500313834541116 y[1] (closed_form) 6.163379803283707 y[1] (numeric) 6.16337980328256 absolute error 1.1466383398328617e-12 relative error 1.8604051290526654e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.86003593879619 y[1] (closed_form) 6.188144506563746 y[1] (numeric) 6.18814450656259 absolute error 1.155520124029863e-12 relative error 1.8673127668628394e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.8700404941382684 y[1] (closed_form) 6.212904494563335 y[1] (numeric) 6.212904494562172 absolute error 1.163513729807164e-12 relative error 1.8727371889030462e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.880045049480347 y[1] (closed_form) 6.237658777571818 y[1] (numeric) 6.23765877757065 absolute error 1.1679546219056647e-12 relative error 1.872424676555205e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.890049604822425 y[1] (closed_form) 6.262406367451369 y[1] (numeric) 6.262406367450193 absolute error 1.1759482276829658e-12 relative error 1.8777897164178203e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.900054160164504 y[1] (closed_form) 6.287146277735893 y[1] (numeric) 6.287146277734711 absolute error 1.1821654766208667e-12 relative error 1.8802894419796835e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.910058715506582 y[1] (closed_form) 6.3118775237297635 y[1] (numeric) 6.311877523728574 absolute error 1.1892709039784677e-12 relative error 1.8841793103674062e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.920063270848661 y[1] (closed_form) 6.336599122606382 y[1] (numeric) 6.336599122605187 absolute error 1.1945999744966684e-12 relative error 1.8852383611183903e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.930067826190739 y[1] (closed_form) 6.361310093506544 y[1] (numeric) 6.361310093505343 absolute error 1.2017054018542694e-12 relative error 1.889084770574128e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.940072381532818 y[1] (closed_form) 6.386009457636623 y[1] (numeric) 6.386009457635418 absolute error 1.20525811553307e-12 relative error 1.8873415761885197e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.950076936874896 y[1] (closed_form) 6.410696238366528 y[1] (numeric) 6.410696238365316 absolute error 1.212363542890671e-12 relative error 1.891157368578715e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.9600814922169745 y[1] (closed_form) 6.4353694613274595 y[1] (numeric) 6.43536946132624 absolute error 1.219468970248272e-12 relative error 1.894947877626167e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.970086047559053 y[1] (closed_form) 6.460028154509437 y[1] (numeric) 6.460028154508214 absolute error 1.2230216839270724e-12 relative error 1.8932141697762407e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.980090602901131 y[1] (closed_form) 6.484671348358582 y[1] (numeric) 6.4846713483573515 absolute error 1.2301271112846734e-12 relative error 1.8969768014473805e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.99009515824321 y[1] (closed_form) 6.509298075874163 y[1] (numeric) 6.509298075872926 absolute error 1.2372325386422744e-12 relative error 1.900715751868716e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = ( 0.1 * x + 1.0 ) - sin ( x ) ; Iterations 22740 Total Elapsed Time 5 Seconds Elapsed Time(since restart) 5 Seconds Time to Timeout 2 Minutes 55.0 Seconds Percent Done 100.00532810981893%