##############ECHO OF PROBLEM################# ##############temp/mult_c_sinpostode.ode################# diff ( y , x , 1 ) = 2.0 * 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(x) * c(-2.0)) 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) -1.9900083305560516 y[1] (numeric) -1.9900083305560516 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) -1.9879121959133936 y[1] (numeric) -1.9879121959133939 absolute error 2.220446049250313e-16 relative error 1.1169739054948934e-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 0.10911481154043468 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) -1.9856172717077325 y[1] (numeric) -1.9856172717077325 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) -1.9831237874295762 y[1] (numeric) -1.9831237874295762 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 0.12854027594607761 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) -1.9804319924252742 y[1] (numeric) -1.9804319924252745 absolute error 2.220446049250313e-16 relative error 1.1211927790214665e-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) -1.9775421558720845 y[1] (numeric) -1.9775421558720843 absolute error 2.220446049250313e-16 relative error 1.1228312087592942e-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 0.14776010333066983 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) -1.9744545667512539 y[1] (numeric) -1.9744545667512534 absolute error 4.440892098500626e-16 relative error 2.249174112832397e-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) -1.9711695338191213 y[1] (numeric) -1.9711695338191206 absolute error 6.661338147750939e-16 relative error 3.379383677285567e-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 0.1667435460704072 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) -1.967687385576243 y[1] (numeric) -1.9676873855762425 absolute error 4.440892098500626e-16 relative error 2.2569093703876637e-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 0.17613711663754514 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) -1.9640084702345406 y[1] (numeric) -1.9640084702345402 absolute error 4.440892098500626e-16 relative error 2.2611369379533774e-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 0.18546023470649145 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) -1.9601331556824833 y[1] (numeric) -1.9601331556824828 absolute error 4.440892098500626e-16 relative error 2.265607357146299e-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 0.19470917115432546 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) -1.9560618294482965 y[1] (numeric) -1.956061829448296 absolute error 4.440892098500626e-16 relative error 2.2703229681411303e-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 0.2038802265297852 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) -1.951794898661211 y[1] (numeric) -1.951794898661211 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 0.21296973253299986 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) -1.9473327900107495 y[1] (numeric) -1.9473327900107498 absolute error 2.220446049250313e-16 relative error 1.1402499154949555e-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 0.22197405348275995 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) -1.942675949704059 y[1] (numeric) -1.942675949704059 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 0.2308895877707416 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) -1.9378248434212895 y[1] (numeric) -1.9378248434212892 absolute error 2.220446049250313e-16 relative error 1.1458445569982719e-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 0.23971276930210164 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) -1.9327799562690264 y[1] (numeric) -1.9327799562690264 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 0.2484400689218684 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) -1.927541792731781 y[1] (numeric) -1.927541792731781 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 0.25706799582655676 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) -1.9221108766215418 y[1] (numeric) -1.922110876621542 absolute error 2.220446049250313e-16 relative error 1.1552122597387043e-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) -1.9164877510253941 y[1] (numeric) -1.9164877510253948 absolute error 6.661338147750939e-16 relative error 3.4758052297422036e-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) -1.910672978251212 y[1] (numeric) -1.9106729782512129 absolute error 8.881784197001252e-16 relative error 4.6485109163633603e-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) -1.9046671397714268 y[1] (numeric) -1.9046671397714274 absolute error 6.661338147750939e-16 relative error 3.49737652771725e-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) -1.8984708361648817 y[1] (numeric) -1.8984708361648825 absolute error 8.881784197001252e-16 relative error 4.678388536609509e-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) -1.8920846870567738 y[1] (numeric) -1.892084687056775 absolute error 1.1102230246251565e-15 relative error 5.86772374524187e-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) -1.8855093310566924 y[1] (numeric) -1.8855093310566935 absolute error 1.1102230246251565e-15 relative error 5.888186318351214e-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) -1.8787454256947578 y[1] (numeric) -1.8787454256947587 absolute error 8.881784197001252e-16 relative error 4.727508088924171e-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) -1.8717936473558696 y[1] (numeric) -1.8717936473558703 absolute error 6.661338147750939e-16 relative error 3.558799420631045e-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) -1.8646546912120687 y[1] (numeric) -1.8646546912120696 absolute error 8.881784197001252e-16 relative error 4.7632326987190785e-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) -1.8573292711530203 y[1] (numeric) -1.8573292711530212 absolute error 8.881784197001252e-16 relative error 4.7820191793388836e-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) -1.849818119714626 y[1] (numeric) -1.8498181197146264 absolute error 4.440892098500626e-16 relative error 2.4007182388210842e-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) -1.84212198800577 y[1] (numeric) -1.8421219880057704 absolute error 4.440892098500626e-16 relative error 2.4107481086571322e-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) -1.83424164563321 y[1] (numeric) -1.8342416456332107 absolute error 6.661338147750939e-16 relative error 3.6316578917557706e-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) -1.8261778806246163 y[1] (numeric) -1.8261778806246172 absolute error 8.881784197001252e-16 relative error 4.863592036260659e-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) -1.81793149934977 y[1] (numeric) -1.817931499349771 absolute error 1.1102230246251565e-15 relative error 6.107067428130578e-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) -1.8095033264399265 y[1] (numeric) -1.8095033264399274 absolute error 8.881784197001252e-16 relative error 4.908409985891296e-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) -1.8008942047053536 y[1] (numeric) -1.8008942047053542 absolute error 6.661338147750939e-16 relative error 3.6989058715088755e-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) -1.7921049950510501 y[1] (numeric) -1.792104995051051 absolute error 8.881784197001252e-16 relative error 4.9560624079105615e-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) -1.7831365763906577 y[1] (numeric) -1.7831365763906584 absolute error 6.661338147750939e-16 relative error 3.7357419706091785e-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 0.4037790502025573 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) -1.773989845558568 y[1] (numeric) -1.7739898455585688 absolute error 6.661338147750939e-16 relative error 3.755003538734188e-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) -1.7646657172202427 y[1] (numeric) -1.7646657172202436 absolute error 8.881784197001252e-16 relative error 5.0331256001233595e-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) -1.755165123780745 y[1] (numeric) -1.755165123780746 absolute error 8.881784197001252e-16 relative error 5.060369578145038e-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) -1.7454890152915021 y[1] (numeric) -1.7454890152915028 absolute error 6.661338147750939e-16 relative error 3.8163162812218985e-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) -1.7356383593552995 y[1] (numeric) -1.7356383593552998 absolute error 2.220446049250313e-16 relative error 1.2793252910560785e-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 0.4312021136216694 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) -1.7256141410295216 y[1] (numeric) -1.7256141410295223 absolute error 6.661338147750939e-16 relative error 3.8602709547666935e-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 0.43617774117249347 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) -1.7154173627276479 y[1] (numeric) -1.7154173627276483 absolute error 4.440892098500626e-16 relative error 2.588811443204271e-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) -1.7050490441190111 y[1] (numeric) -1.7050490441190116 absolute error 4.440892098500626e-16 relative error 2.6045538770969542e-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) -1.6945102220268318 y[1] (numeric) -1.6945102220268322 absolute error 4.440892098500626e-16 relative error 2.6207526167583702e-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) -1.683801950324537 y[1] (numeric) -1.6838019503245376 absolute error 6.661338147750939e-16 relative error 3.956129250513713e-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) -1.6729252998303734 y[1] (numeric) -1.672925299830374 absolute error 6.661338147750939e-16 relative error 3.9818503243548093e-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) -1.6618813582003265 y[1] (numeric) -1.6618813582003273 absolute error 8.881784197001252e-16 relative error 5.3444153237385463e-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) -1.6506712298193562 y[1] (numeric) -1.6506712298193569 absolute error 6.661338147750939e-16 relative error 4.035532956178035e-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) -1.6392960356909585 y[1] (numeric) -1.6392960356909592 absolute error 6.661338147750939e-16 relative error 4.063535812153175e-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) -1.6277569133250673 y[1] (numeric) -1.627756913325068 absolute error 6.661338147750939e-16 relative error 4.0923421017107686e-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) -1.6160550166243033 y[1] (numeric) -1.6160550166243037 absolute error 4.440892098500626e-16 relative error 2.7479832386999943e-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) -1.6041915157685847 y[1] (numeric) -1.6041915157685849 absolute error 2.220446049250313e-16 relative error 1.3841527195625857e-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) -1.592167597098111 y[1] (numeric) -1.592167597098111 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 0.48177909270859665 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) -1.5799844629947295 y[1] (numeric) -1.5799844629947297 absolute error 2.220446049250313e-16 relative error 1.4053594204601492e-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) -1.567643331761698 y[1] (numeric) -1.5676433317616982 absolute error 2.220446049250313e-16 relative error 1.4164229861871727e-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) -1.5551454375018552 y[1] (numeric) -1.5551454375018556 absolute error 4.440892098500626e-16 relative error 2.8556120806516715e-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) -1.5424920299942126 y[1] (numeric) -1.5424920299942129 absolute error 2.220446049250313e-16 relative error 1.439518652980427e-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) -1.529684374568976 y[1] (numeric) -1.529684374568977 absolute error 8.881784197001252e-16 relative error 5.806285495662398e-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) -1.5167237519810157 y[1] (numeric) -1.5167237519810166 absolute error 8.881784197001252e-16 relative error 5.855901040252465e-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) -1.5036114582817892 y[1] (numeric) -1.5036114582817903 absolute error 1.1102230246251565e-15 relative error 7.383709524891712e-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) -1.49034880468974 y[1] (numeric) -1.4903488046897413 absolute error 1.3322676295501878e-15 relative error 8.939300822451014e-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) -1.476937117459175 y[1] (numeric) -1.4769371174591768 absolute error 1.7763568394002505e-15 relative error 1.2027301761202788e-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 0.49794042226882 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) -1.463377737747641 y[1] (numeric) -1.4633777377476425 absolute error 1.5543122344752192e-15 relative error 1.0621401394745421e-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 0.49874749330202717 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) -1.4496720214818095 y[1] (numeric) -1.4496720214818113 absolute error 1.7763568394002505e-15 relative error 1.225350847003665e-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 0.49935507198779155 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) -1.435821339221886 y[1] (numeric) -1.4358213392218877 absolute error 1.7763568394002505e-15 relative error 1.2371712210120172e-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 0.4997629153027396 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) -1.421827076024554 y[1] (numeric) -1.4218270760245555 absolute error 1.5543122344752192e-15 relative error 1.093179515768609e-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 0.4999708601149831 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) -1.4076906313044713 y[1] (numeric) -1.4076906313044728 absolute error 1.5543122344752192e-15 relative error 1.1041575470562572e-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 0.49997882324937 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) -1.3934134186943299 y[1] (numeric) -1.3934134186943314 absolute error 1.5543122344752192e-15 relative error 1.1154709819944582e-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 0.49978680152075255 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) -1.3789968659034932 y[1] (numeric) -1.3789968659034946 absolute error 1.3322676295501878e-15 relative error 9.661136022070004e-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 0.499394871735262 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) -1.3644424145752263 y[1] (numeric) -1.3644424145752276 absolute error 1.3322676295501878e-15 relative error 9.764190964152526e-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) -1.3497515201425332 y[1] (numeric) -1.3497515201425347 absolute error 1.5543122344752192e-15 relative error 1.1515543500266512e-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 0.49801199495826826 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) -1.3349256516826153 y[1] (numeric) -1.3349256516826167 absolute error 1.3322676295501878e-15 relative error 9.980088612957004e-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) -1.3199662917699633 y[1] (numeric) -1.3199662917699646 absolute error 1.3322676295501878e-15 relative error 1.00931943327411e-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 0.49583240522623423 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) -1.3048749363281027 y[1] (numeric) -1.3048749363281038 absolute error 1.1102230246251565e-15 relative error 8.50827151105612e-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) -1.2896530944800013 y[1] (numeric) -1.2896530944800024 absolute error 1.1102230246251565e-15 relative error 8.608695077592223e-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) -1.2743022883971593 y[1] (numeric) -1.2743022883971604 absolute error 1.1102230246251565e-15 relative error 8.712399206483537e-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) -1.2588240531473927 y[1] (numeric) -1.2588240531473935 absolute error 8.881784197001252e-16 relative error 7.055620024732166e-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) -1.243219936541328 y[1] (numeric) -1.2432199365413288 absolute error 8.881784197001252e-16 relative error 7.144177740352701e-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) -1.227491498977622 y[1] (numeric) -1.2274914989776233 absolute error 1.3322676295501878e-15 relative error 1.0853579276596489e-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 0.48455456444022815 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) -1.2116403132869245 y[1] (numeric) -1.2116403132869258 absolute error 1.3322676295501878e-15 relative error 1.099557034328139e-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) -1.1956679645745953 y[1] (numeric) -1.1956679645745965 absolute error 1.1102230246251565e-15 relative error 9.285379030959995e-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) -1.1795760500621952 y[1] (numeric) -1.1795760500621961 absolute error 8.881784197001252e-16 relative error 7.529641006642128e-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) -1.1633661789277658 y[1] (numeric) -1.1633661789277667 absolute error 8.881784197001252e-16 relative error 7.634555961724179e-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) -1.147039972144912 y[1] (numeric) -1.1470399721449132 absolute error 1.1102230246251565e-15 relative error 9.679026464518847e-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) -1.1305990623207074 y[1] (numeric) -1.1305990623207083 absolute error 8.881784197001252e-16 relative error 7.855821301293307e-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 0.46630750701109996 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) -1.1140450935324333 y[1] (numeric) -1.1140450935324346 absolute error 1.3322676295501878e-15 relative error 1.1958830367681174e-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) -1.097379721163174 y[1] (numeric) -1.0973797211631753 absolute error 1.3322676295501878e-15 relative error 1.2140443311072335e-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) -1.0806046117362784 y[1] (numeric) -1.08060461173628 absolute error 1.5543122344752192e-15 relative error 1.4383727568752493e-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 0.4546487134128407 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) -1.0637214427487116 y[1] (numeric) -1.0637214427487116 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 0.45039659576131386 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) -1.0467319025033017 y[1] (numeric) -1.0467319025032997 absolute error 1.9984014443252818e-15 relative error 1.9091817489712733e-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) -1.0296376899399151 y[1] (numeric) -1.0296376899399113 absolute error 3.774758283725532e-15 relative error 3.666103446490784e-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) -1.0124405144655633 y[1] (numeric) -1.0124405144655573 absolute error 5.995204332975845e-15 relative error 5.921537361768392e-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) -0.9951420957834624 y[1] (numeric) -0.9951420957834546 absolute error 7.771561172376096e-15 relative error 7.809498970353221e-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) -0.9777441637210655 y[1] (numeric) -0.9777441637210558 absolute error 9.769962616701378e-15 relative error 9.992350738785477e-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) -0.9602484580570806 y[1] (numeric) -0.9602484580570687 absolute error 1.1879386363489175e-14 relative error 1.2371159009747685e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.9426567283474944 y[1] (numeric) -0.9426567283474804 absolute error 1.3988810110276972e-14 relative error 1.4839771137898499e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.9249707337506181 y[1] (numeric) -0.9249707337506022 absolute error 1.587618925213974e-14 relative error 1.7163990894894765e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.9071922428511732 y[1] (numeric) -0.9071922428511554 absolute error 1.7763568394002505e-14 relative error 1.9580820420349047e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.8893230334834342 y[1] (numeric) -0.8893230334834143 absolute error 1.9872992140790302e-14 relative error 2.2346201990236075e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.871364892553447 y[1] (numeric) -0.8713648925534251 absolute error 2.1871393585115584e-14 relative error 2.5100154679199516e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.8533196158603393 y[1] (numeric) -0.8533196158603154 absolute error 2.398081733190338e-14 relative error 2.810297207069978e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.835189007916743 y[1] (numeric) -0.835189007916717 absolute error 2.5979218776228663e-14 relative error 3.110579584976822e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.8169748817683435 y[1] (numeric) -0.8169748817683156 absolute error 2.7977620220553945e-14 relative error 3.4245386051522583e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.7986790588125774 y[1] (numeric) -0.7986790588125475 absolute error 2.986499936241671e-14 relative error 3.73929916314796e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.7803033686164936 y[1] (numeric) -0.7803033686164618 absolute error 3.186340080674199e-14 relative error 4.083463187303288e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.761849648733799 y[1] (numeric) -0.761849648733765 absolute error 3.397282455352979e-14 relative error 4.459255787541929e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.7433197445211035 y[1] (numeric) -0.7433197445210676 absolute error 3.5860203695392556e-14 relative error 4.824330842778313e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.724715508953387 y[1] (numeric) -0.7247155089533491 absolute error 3.785860513971784e-14 relative error 5.2239264472747564e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.7060388024387028 y[1] (numeric) -0.7060388024386629 absolute error 3.985700658404312e-14 relative error 5.645158091364737e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.6872914926321383 y[1] (numeric) -0.6872914926320965 absolute error 4.1744385725905886e-14 relative error 6.0737527196846735e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.6684754542490516 y[1] (numeric) -0.6684754542490079 absolute error 4.374278717023117e-14 relative error 6.543663928449057e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.6495925688776012 y[1] (numeric) -0.6495925688775553 absolute error 4.5852210917018965e-14 relative error 7.058610752928521e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.6306447247905883 y[1] (numeric) -0.6306447247905403 absolute error 4.796163466380676e-14 relative error 7.605174954842109e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.6116338167566319 y[1] (numeric) -0.6116338167565818 absolute error 5.007105841059456e-14 relative error 8.186443757493833e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.592561745850693 y[1] (numeric) -0.5925617458506407 absolute error 5.229150445984487e-14 relative error 8.824650734882351e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.5734304192639689 y[1] (numeric) -0.5734304192639145 absolute error 5.440092820663267e-14 relative error 9.486927511878321e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.5542417501131753 y[1] (numeric) -0.5542417501131188 absolute error 5.651035195342047e-14 relative error 1.0195975301730904e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 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) -0.5349976572492372 y[1] (numeric) -0.5349976572491786 absolute error 5.861977570020827e-14 relative error 1.0957015401078533e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 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) -0.515700065065404 y[1] (numeric) -0.5157000650653433 absolute error 6.072919944699606e-14 relative error 1.1776069766307678e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.4963509033048129 y[1] (numeric) -0.49635090330474996 absolute error 6.294964549624638e-14 relative error 1.2682488351912702e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.4769521068675157 y[1] (numeric) -0.4769521068674506 absolute error 6.511458039426543e-14 relative error 1.3652226178833608e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.45750561561699055 y[1] (numeric) -0.4575056156169232 absolute error 6.733502644351574e-14 relative error 1.4717857911472397e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.4380133741861571 y[1] (numeric) -0.4380133741860876 absolute error 6.94999613415348e-14 relative error 1.5867086586264166e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.41847733178291496 y[1] (numeric) -0.41847733178284335 absolute error 7.16093850883226e-14 relative error 1.7111891051119095e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.3988994419952245 y[1] (numeric) -0.39889944199515076 absolute error 7.37188088351104e-14 relative error 1.848054950049114e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.3792816625957496 y[1] (numeric) -0.3792816625956737 absolute error 7.588374373312945e-14 relative error 2.0007227139269517e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.35962595534608216 y[1] (numeric) -0.3596259553460041 absolute error 7.80486786311485e-14 relative error 2.1702737933928936e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.3399342858005674 y[1] (numeric) -0.3399342858004872 absolute error 8.021361352916756e-14 relative error 2.359679999334556e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.32020862310975023 y[1] (numeric) -0.3202086231096678 absolute error 8.243405957841787e-14 relative error 2.5743859980361593e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.3004509398234617 y[1] (numeric) -0.3004509398233771 absolute error 8.459899447643693e-14 relative error 2.8157340604807366e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.2806632116935658 y[1] (numeric) -0.28066321169347896 absolute error 8.681944052568724e-14 relative error 3.0933673138636567e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.26084741747638573 y[1] (numeric) -0.2608474174762967 absolute error 8.903988657493755e-14 relative error 3.4134854558411815e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.24100553873483022 y[1] (numeric) -0.24100553873473896 absolute error 9.126033262418787e-14 relative error 3.7866487676284634e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.2211395596402385 y[1] (numeric) -0.22113955964014503 absolute error 9.345302309782255e-14 relative error 4.225974911492854e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.20125146677396508 y[1] (numeric) -0.20125146677386946 absolute error 9.561795799584161e-14 relative error 4.75116825375661e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.18134324892872328 y[1] (numeric) -0.1813432489286254 absolute error 9.786615962070755e-14 relative error 5.396735759331946e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.16141689690970748 y[1] (numeric) -0.16141689690960748 absolute error 1.0000333894311098e-13 relative error 6.195345150207559e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.14147440333551434 y[1] (numeric) -0.14147440333541217 absolute error 1.0216827384113003e-13 relative error 7.221679076379092e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.12151776243888261 y[1] (numeric) -0.12151776243877825 absolute error 1.0436096431476471e-13 relative error 8.588124256094091e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.10154896986727145 y[1] (numeric) -0.1015489698671649 absolute error 1.065536547883994e-13 relative error 1.0492834632165079e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.08157002248329744 y[1] (numeric) -0.08157002248318868 absolute error 1.087602230498419e-13 relative error 1.333335700282687e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.06158291816504987 y[1] (numeric) -0.06158291816493891 absolute error 1.1095985241738049e-13 relative error 1.8017959480256245e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.04158965560630474 y[1] (numeric) -0.04158965560619157 absolute error 1.1316642067882299e-13 relative error 2.721023269585999e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.0215922341166569 y[1] (numeric) -0.021592234116541535 absolute error 1.1536605004636158e-13 relative error 5.342941792084624e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 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] 1.5699895047810009 y[1] (closed_form) -0.0016136438527214404 y[1] (numeric) -0.0016136438526063127 absolute error 1.1512774240884927e-13 relative error 7.134643881590363e-09% Desired digits 8 Estimated correct digits 9 Correct digits 11 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5799940522549185 y[1] (closed_form) 0.018395191550943702 y[1] (numeric) 0.0183951915510534 absolute error 1.0969697372686937e-13 relative error 5.963350445309266e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5899985997288362 y[1] (closed_form) 0.03840218577739745 y[1] (numeric) 0.03840218577750171 absolute error 1.0425688090620611e-13 relative error 2.7148684064637035e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6000031472027538 y[1] (closed_form) 0.058405336323880515 y[1] (numeric) 0.05840533632397937 absolute error 9.885842144896628e-14 relative error 1.692626524753792e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6100076946766715 y[1] (closed_form) 0.07840264107234808 y[1] (numeric) 0.07840264107244153 absolute error 9.345302309782255e-14 relative error 1.1919626918127203e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6200122421505891 y[1] (closed_form) 0.09839209848986201 y[1] (numeric) 0.09839209848995004 absolute error 8.80268080649671e-14 relative error 8.946532233382245e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6300167896245068 y[1] (closed_form) 0.1183717078289246 y[1] (numeric) 0.1183717078290072 absolute error 8.260059303211165e-14 relative error 6.978068877023321e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6400213370984245 y[1] (closed_form) 0.13833946932773367 y[1] (numeric) 0.13833946932781088 absolute error 7.721601136267964e-14 relative error 5.5816327572972494e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6500258845723421 y[1] (closed_form) 0.15829338441033894 y[1] (numeric) 0.15829338441041083 absolute error 7.188694084447889e-14 relative error 4.5413736722015267e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6600304320462598 y[1] (closed_form) 0.17823145588667985 y[1] (numeric) 0.17823145588674633 absolute error 6.647460359943125e-14 relative error 3.729678538994599e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6700349795201774 y[1] (closed_form) 0.19815168815248446 y[1] (numeric) 0.19815168815254555 absolute error 6.109002192999924e-14 relative error 3.082992756689935e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.680039526994095 y[1] (closed_form) 0.2180520873890099 y[1] (numeric) 0.21805208738906573 absolute error 5.5816462563029745e-14 relative error 2.5597765759266454e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6900440744680127 y[1] (closed_form) 0.23793066176260386 y[1] (numeric) 0.23793066176265432 absolute error 5.0459636469213365e-14 relative error 2.120770652063316e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7000486219419304 y[1] (closed_form) 0.2577854216240675 y[1] (numeric) 0.25778542162411255 absolute error 4.5075054799781356e-14 relative error 1.748549414307649e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.710053169415848 y[1] (closed_form) 0.2776143797077997 y[1] (numeric) 0.27761437970783936 absolute error 3.9690473130349346e-14 relative error 1.429698028327105e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7200577168897657 y[1] (closed_form) 0.2974155513307028 y[1] (numeric) 0.297415551330737 absolute error 3.419486915845482e-14 relative error 1.1497337313216955e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7300622643636834 y[1] (closed_form) 0.31718695459082974 y[1] (numeric) 0.3171869545908586 absolute error 2.886579864025407e-14 relative error 9.100563003131975e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.740066811837601 y[1] (closed_form) 0.336926610565753 y[1] (numeric) 0.3369266105657764 absolute error 2.3370194668359545e-14 relative error 6.936286400506418e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7500713593115187 y[1] (closed_form) 0.3566325435106351 y[1] (numeric) 0.3566325435106532 absolute error 1.8096635301390052e-14 relative error 5.07430845296663e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7600759067854364 y[1] (closed_form) 0.37630278105598103 y[1] (numeric) 0.37630278105599396 absolute error 1.2934098236883074e-14 relative error 3.4371519127728477e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.770080454259354 y[1] (closed_form) 0.3959353544050534 y[1] (numeric) 0.39593535440506095 absolute error 7.549516567451064e-15 relative error 1.9067548486028072e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7800850017332717 y[1] (closed_form) 0.41552829853092915 y[1] (numeric) 0.4155282985309313 absolute error 2.1649348980190553e-15 relative error 5.210078123855894e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7900895492071893 y[1] (closed_form) 0.43507965237317964 y[1] (numeric) 0.43507965237317625 absolute error 3.3861802251067274e-15 relative error 7.782897238784931e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.800094096681107 y[1] (closed_form) 0.45458745903415326 y[1] (numeric) 0.45458745903414466 absolute error 8.604228440844963e-15 relative error 1.8927553477005456e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8100986441550246 y[1] (closed_form) 0.4740497659748417 y[1] (numeric) 0.47404976597482756 absolute error 1.4155343563970746e-14 relative error 2.986045892220097e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8201031916289423 y[1] (closed_form) 0.4934646252103098 y[1] (numeric) 0.49346462521029044 absolute error 1.9373391779708982e-14 relative error 3.925994040900547e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.83010773910286 y[1] (closed_form) 0.5128300935046697 y[1] (numeric) 0.512830093504645 absolute error 2.4646951146678475e-14 relative error 4.806065685077439e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8401122865767776 y[1] (closed_form) 0.5321442325655794 y[1] (numeric) 0.5321442325655493 absolute error 3.008704396734174e-14 relative error 5.65392653459491e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8501168340506953 y[1] (closed_form) 0.551405109238247 y[1] (numeric) 0.5514051092382117 absolute error 3.530509218307998e-14 relative error 6.402750281340904e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.860121381524613 y[1] (closed_form) 0.57061079569892 y[1] (numeric) 0.5706107956988796 absolute error 4.04121180963557e-14 relative error 7.0822561369271665e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8701259289985306 y[1] (closed_form) 0.5897593696478419 y[1] (numeric) 0.5897593696477965 absolute error 4.54081217071689e-14 relative error 7.699432013141745e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8801304764724482 y[1] (closed_form) 0.6088489145016552 y[1] (numeric) 0.6088489145016043 absolute error 5.0959236830294685e-14 relative error 8.369767214252978e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.890135023946366 y[1] (closed_form) 0.6278775195852323 y[1] (numeric) 0.6278775195851761 absolute error 5.617728504603292e-14 relative error 8.947172544598013e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9001395714202836 y[1] (closed_form) 0.6468432803229158 y[1] (numeric) 0.646843280322854 absolute error 6.183942247162122e-14 relative error 9.56018626965559e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9101441188942012 y[1] (closed_form) 0.6657442984291471 y[1] (numeric) 0.6657442984290803 absolute error 6.672440377997191e-14 relative error 1.0022527258199743e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9199873026991847 y[1] (closed_form) 0.684275440324157 y[1] (numeric) 0.6842754403240852 absolute error 7.183142969324763e-14 relative error 1.0497443786557564e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9299918501731024 y[1] (closed_form) 0.7030424244967277 y[1] (numeric) 0.7030424244966504 absolute error 7.72715225139109e-14 relative error 1.0991018439495404e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.93999639764702 y[1] (closed_form) 0.7217390410579015 y[1] (numeric) 0.7217390410578192 absolute error 8.237854842718662e-14 relative error 1.1413896677452673e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9500009451209377 y[1] (closed_form) 0.740363418660797 y[1] (numeric) 0.7403634186607094 absolute error 8.759659664292485e-14 relative error 1.1831567367465771e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9600054925948553 y[1] (closed_form) 0.7589136931889399 y[1] (numeric) 0.758913693188847 absolute error 9.281464485866309e-14 relative error 1.2229934140291743e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.970010040068773 y[1] (closed_form) 0.7773880079428424 y[1] (numeric) 0.7773880079427451 absolute error 9.725553695716371e-14 relative error 1.251055276946264e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9800145875426907 y[1] (closed_form) 0.7957845138258413 y[1] (numeric) 0.7957845138257393 absolute error 1.0191847366058937e-13 relative error 1.280729542858312e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9900191350166083 y[1] (closed_form) 0.8141013695291732 y[1] (numeric) 0.8141013695290664 absolute error 1.0680345496894006e-13 relative error 1.3119183797800106e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.000023682490526 y[1] (closed_form) 0.8323367417162727 y[1] (numeric) 0.8323367417161607 absolute error 1.120215031846783e-13 relative error 1.3458675746271961e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.01002822996443 y[1] (closed_form) 0.8504888052062449 y[1] (numeric) 0.850488805206153 absolute error 9.192646643896296e-14 relative error 1.0808662721512324e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0200327774383338 y[1] (closed_form) 0.8685557431566243 y[1] (numeric) 0.8685557431565525 absolute error 7.183142969324763e-14 relative error 8.270215269337579e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0300373249122377 y[1] (closed_form) 0.8865357472451466 y[1] (numeric) 0.8865357472450942 absolute error 5.240252676230739e-14 relative error 5.910932179006307e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0400418723861415 y[1] (closed_form) 0.90442701785077 y[1] (numeric) 0.9044270178507372 absolute error 3.275157922644212e-14 relative error 3.6212517516638487e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0500464198600454 y[1] (closed_form) 0.9222277642337983 y[1] (numeric) 0.9222277642337853 absolute error 1.2989609388114332e-14 relative error 1.4085033970871946e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0600509673339493 y[1] (closed_form) 0.9399362047151177 y[1] (numeric) 0.9399362047151237 absolute error 5.995204332975845e-15 relative error 6.378309828796213e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.070055514807853 y[1] (closed_form) 0.9575505668545242 y[1] (numeric) 0.9575505668545496 absolute error 2.5424107263916085e-14 relative error 2.655119023889486e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.080060062281757 y[1] (closed_form) 0.9750690876281279 y[1] (numeric) 0.9750690876281729 absolute error 4.496403249731884e-14 relative error 4.611368883275196e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.090064609755661 y[1] (closed_form) 0.9924900136048143 y[1] (numeric) 0.9924900136048787 absolute error 6.439293542825908e-14 relative error 6.488018473292045e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.100069157229565 y[1] (closed_form) 1.0098116011217448 y[1] (numeric) 1.0098116011218283 absolute error 8.348877145181177e-14 relative error 8.267757209272367e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1100737047034688 y[1] (closed_form) 1.0270321164588812 y[1] (numeric) 1.0270321164589833 absolute error 1.021405182655144e-13 relative error 9.945211705519607e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1200782521773727 y[1] (closed_form) 1.0441498360125134 y[1] (numeric) 1.0441498360126344 absolute error 1.2101430968414206e-13 relative error 1.1589745600715853e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1300827996512766 y[1] (closed_form) 1.061163046467775 y[1] (numeric) 1.061163046467915 absolute error 1.3988810110276972e-13 relative error 1.3182526621936771e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1400873471251805 y[1] (closed_form) 1.0780700449701293 y[1] (numeric) 1.0780700449702887 absolute error 1.5942802633617248e-13 relative error 1.4788280880264124e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1500918945990843 y[1] (closed_form) 1.0948691392958088 y[1] (numeric) 1.094869139295986 absolute error 1.7719159473017498e-13 relative error 1.6183814884410752e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1600964420729882 y[1] (closed_form) 1.1115586480211892 y[1] (numeric) 1.1115586480213848 absolute error 1.9562129693895258e-13 relative error 1.7598828211826707e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.170100989546892 y[1] (closed_form) 1.1281369006910842 y[1] (numeric) 1.1281369006912974 absolute error 2.1316282072803006e-13 relative error 1.889511996260816e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.180105537020796 y[1] (closed_form) 1.1446022379859402 y[1] (numeric) 1.1446022379861729 absolute error 2.327027459614328e-13 relative error 2.0330446528822115e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1901100844947 y[1] (closed_form) 1.16095301188792 y[1] (numeric) 1.1609530118881712 absolute error 2.511324481702104e-13 relative error 2.1631577298879952e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.200114631968604 y[1] (closed_form) 1.1771875858458514 y[1] (numeric) 1.1771875858461203 absolute error 2.688960165642129e-13 relative error 2.28422402510303e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2101191794425077 y[1] (closed_form) 1.1933043349390298 y[1] (numeric) 1.193304334939317 absolute error 2.873257187729905e-13 relative error 2.4078159306081044e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2201237269164116 y[1] (closed_form) 1.2093016460398578 y[1] (numeric) 1.2093016460401629 absolute error 3.05089287166993e-13 relative error 2.522855138468384e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2301282743903155 y[1] (closed_form) 1.225177917975303 y[1] (numeric) 1.225177917975626 absolute error 3.228528555609955e-13 relative error 2.6351507876875035e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2401328218642194 y[1] (closed_form) 1.240931561687159 y[1] (numeric) 1.2409315616874994 absolute error 3.40394379350073e-13 relative error 2.7430552164156094e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2501373693381232 y[1] (closed_form) 1.256561000391095 y[1] (numeric) 1.2565610003914527 absolute error 3.5771385853422544e-13 relative error 2.846768747580816e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.260141916812027 y[1] (closed_form) 1.2720646697344764 y[1] (numeric) 1.2720646697348503 absolute error 3.739231146937527e-13 relative error 2.9394976811344296e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.269985100616997 y[1] (closed_form) 1.2871940306510643 y[1] (numeric) 1.2871940306514542 absolute error 3.89910326248355e-13 relative error 3.0291495840074545e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.279989648090901 y[1] (closed_form) 1.3024436092570884 y[1] (numeric) 1.3024436092574956 absolute error 4.072298054325074e-13 relative error 3.12665978425577e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.289994195564805 y[1] (closed_form) 1.317562826106028 y[1] (numeric) 1.3175628261064518 absolute error 4.2388315080188477e-13 relative error 3.217176004082053e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2999987430387088 y[1] (closed_form) 1.3325501679134228 y[1] (numeric) 1.3325501679138634 absolute error 4.405364961712621e-13 relative error 3.305965559713803e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3100032905126127 y[1] (closed_form) 1.3474041345942038 y[1] (numeric) 1.347404134594661 absolute error 4.571898415406395e-13 relative error 3.393115916764875e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3200078379865166 y[1] (closed_form) 1.3621232394128358 y[1] (numeric) 1.362123239413309 absolute error 4.731770530952417e-13 relative error 3.4738196912286143e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3300123854604204 y[1] (closed_form) 1.3767060091321255 y[1] (numeric) 1.3767060091326146 absolute error 4.89164264649844e-13 relative error 3.553149774934249e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3400169329343243 y[1] (closed_form) 1.391150984160679 y[1] (numeric) 1.3911509841611849 absolute error 5.058176100192213e-13 relative error 3.6359648649092925e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3500214804082282 y[1] (closed_form) 1.405456718698991 y[1] (numeric) 1.405456718699513 absolute error 5.220268661787486e-13 relative error 3.714286318699167e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.360026027882132 y[1] (closed_form) 1.4196217808841556 y[1] (numeric) 1.4196217808846936 absolute error 5.380140777333509e-13 relative error 3.789840963120965e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.370030575356036 y[1] (closed_form) 1.4336447529331824 y[1] (numeric) 1.4336447529337362 absolute error 5.537792446830281e-13 relative error 3.86273687083231e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.38003512282994 y[1] (closed_form) 1.4475242312849013 y[1] (numeric) 1.4475242312854706 absolute error 5.693223670277803e-13 relative error 3.933076591902152e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.390039670303844 y[1] (closed_form) 1.461258826740446 y[1] (numeric) 1.4612588267410316 absolute error 5.855316231873076e-13 relative error 4.0070356631714754e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4000442177777477 y[1] (closed_form) 1.4748471646022994 y[1] (numeric) 1.4748471646028996 absolute error 6.001865671123596e-13 relative error 4.069483140473089e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4100487652516516 y[1] (closed_form) 1.4882878848118857 y[1] (numeric) 1.488287884812501 absolute error 6.152856002472618e-13 relative error 4.134184028011702e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4200533127255555 y[1] (closed_form) 1.5015796420857006 y[1] (numeric) 1.5015796420863305 absolute error 6.299405441723138e-13 relative error 4.195185699889509e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4300578601994594 y[1] (closed_form) 1.5147211060499601 y[1] (numeric) 1.5147211060506045 absolute error 6.443734434924409e-13 relative error 4.254073181648711e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4400624076733632 y[1] (closed_form) 1.5277109613737578 y[1] (numeric) 1.5277109613744169 absolute error 6.590283874174929e-13 relative error 4.3138290166150096e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.450066955147267 y[1] (closed_form) 1.540547907900717 y[1] (numeric) 1.5405479079013902 absolute error 6.732392421326949e-13 relative error 4.370128567115505e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.460071502621171 y[1] (closed_form) 1.5532306607791224 y[1] (numeric) 1.5532306607798092 absolute error 6.867839630331218e-13 relative error 4.421648248230056e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.470076050095075 y[1] (closed_form) 1.5657579505905224 y[1] (numeric) 1.5657579505912231 absolute error 7.007727731433988e-13 relative error 4.475613698011904e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.480080597568979 y[1] (closed_form) 1.578128523476785 y[1] (numeric) 1.578128523477498 absolute error 7.129852264142755e-13 relative error 4.517916100036601e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4900851450428827 y[1] (closed_form) 1.590341141265596 y[1] (numeric) 1.5903411412663229 absolute error 7.269740365245525e-13 relative error 4.571182984966518e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5000896925167866 y[1] (closed_form) 1.602394581594388 y[1] (numeric) 1.6023945815951286 absolute error 7.405187574249794e-13 relative error 4.621325895199675e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5100942399906905 y[1] (closed_form) 1.614287638032688 y[1] (numeric) 1.6142876380334419 absolute error 7.538414337204813e-13 relative error 4.669808626170106e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5200987874645944 y[1] (closed_form) 1.626019120202868 y[1] (numeric) 1.6260191202036351 absolute error 7.671641100159832e-13 relative error 4.718050977901594e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5301033349384983 y[1] (closed_form) 1.6375878538992898 y[1] (numeric) 1.6375878539000697 absolute error 7.7982065249671e-13 relative error 4.7620080390793383e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.540107882412402 y[1] (closed_form) 1.6489926812058324 y[1] (numeric) 1.6489926812066251 absolute error 7.926992395823618e-13 relative error 4.8071725764282796e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.550112429886306 y[1] (closed_form) 1.6602324606117878 y[1] (numeric) 1.6602324606125936 absolute error 8.057998712729386e-13 relative error 4.853536419689115e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.56011697736021 y[1] (closed_form) 1.671306067126114 y[1] (numeric) 1.6713060671269317 absolute error 8.177902799388903e-13 relative error 4.893120990969162e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.570121524834114 y[1] (closed_form) 1.682212392390037 y[1] (numeric) 1.6822123923908672 absolute error 8.302247778146921e-13 relative error 4.935314836405013e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5801260723080177 y[1] (closed_form) 1.692950344787985 y[1] (numeric) 1.6929503447888277 absolute error 8.426592756904938e-13 relative error 4.977460078996135e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5901306197819216 y[1] (closed_form) 1.7035188495568498 y[1] (numeric) 1.703518849557704 absolute error 8.542055951465954e-13 relative error 5.014359514535497e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6001351672558255 y[1] (closed_form) 1.7139168488935592 y[1] (numeric) 1.7139168488944247 absolute error 8.65529869997772e-13 relative error 5.050010859958147e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6101397147297294 y[1] (closed_form) 1.7241433020609522 y[1] (numeric) 1.7241433020618298 absolute error 8.775202786637237e-13 relative error 5.089601761145846e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6201442622036333 y[1] (closed_form) 1.7341971854919478 y[1] (numeric) 1.7341971854928366 absolute error 8.888445535149003e-13 relative error 5.1253949720991944e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6299874460086032 y[1] (closed_form) 1.7439195155364688 y[1] (numeric) 1.743919515537368 absolute error 8.990586053414518e-13 relative error 5.1553904714741445e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.639991993482507 y[1] (closed_form) 1.7536280813029992 y[1] (numeric) 1.7536280813039085 absolute error 9.092726571680032e-13 relative error 5.185094073609872e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.649996540956411 y[1] (closed_form) 1.7631611261975884 y[1] (numeric) 1.7631611261985085 absolute error 9.201528428093297e-13 relative error 5.2187677526314344e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.660001088430315 y[1] (closed_form) 1.7725176960564828 y[1] (numeric) 1.7725176960574143 absolute error 9.314771176605063e-13 relative error 5.255107577954607e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.670005635904219 y[1] (closed_form) 1.781696854379339 y[1] (numeric) 1.7816968543802798 absolute error 9.408029910673577e-13 relative error 5.280376337618276e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6800101833781227 y[1] (closed_form) 1.7906976824229588 y[1] (numeric) 1.79069768242391 absolute error 9.512390874988341e-13 relative error 5.312114360988789e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6900147308520266 y[1] (closed_form) 1.7995192792932453 y[1] (numeric) 1.7995192792942056 absolute error 9.603429163007604e-13 relative error 5.336663670966235e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7000192783259305 y[1] (closed_form) 1.808160762035374 y[1] (numeric) 1.8081607620363442 absolute error 9.703349235223868e-13 relative error 5.3664195346774356e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7100238257998344 y[1] (closed_form) 1.8166212657221679 y[1] (numeric) 1.8166212657231469 absolute error 9.78994663114463e-13 relative error 5.3890961291003044e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7200283732737383 y[1] (closed_form) 1.8248999435406683 y[1] (numeric) 1.8248999435416562 absolute error 9.878764473114643e-13 relative error 5.413318416760909e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.730032920747642 y[1] (closed_form) 1.8329959668768923 y[1] (numeric) 1.8329959668778892 absolute error 9.969802761133906e-13 relative error 5.439075121436696e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.740037468221546 y[1] (closed_form) 1.8409085253987685 y[1] (numeric) 1.8409085253997746 absolute error 1.0060841049153169e-12 relative error 5.46514990307508e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.75004201569545 y[1] (closed_form) 1.8486368271372438 y[1] (numeric) 1.8486368271382587 absolute error 1.0149658891123181e-12 relative error 5.490347667064876e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.760046563169354 y[1] (closed_form) 1.8561800985655517 y[1] (numeric) 1.8561800985665746 absolute error 1.0229594948896192e-12 relative error 5.5111004351364296e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7700511106432577 y[1] (closed_form) 1.8635375846766338 y[1] (numeric) 1.8635375846776652 absolute error 1.0313971898767704e-12 relative error 5.534619738059865e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7800556581171616 y[1] (closed_form) 1.87070854905871 y[1] (numeric) 1.8707085490597495 absolute error 1.0393907956540716e-12 relative error 5.5561343116599586e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7900602055910655 y[1] (closed_form) 1.8776922739689852 y[1] (numeric) 1.877692273970032 absolute error 1.0467182676165976e-12 relative error 5.574493127162363e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8000647530649694 y[1] (closed_form) 1.8844880604054879 y[1] (numeric) 1.8844880604065415 absolute error 1.0536016503692736e-12 relative error 5.590917090462057e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8100693005388733 y[1] (closed_form) 1.8910952281770343 y[1] (numeric) 1.891095228178095 absolute error 1.0607070777268746e-12 relative error 5.608956449799559e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.820073848012777 y[1] (closed_form) 1.897513115971308 y[1] (numeric) 1.8975131159723755 absolute error 1.0675904604795505e-12 relative error 5.62626129692425e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.830078395486681 y[1] (closed_form) 1.903741081421051 y[1] (numeric) 1.9037410814221254 absolute error 1.0744738432322265e-12 relative error 5.644012485301749e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.840082942960585 y[1] (closed_form) 1.909778501168359 y[1] (numeric) 1.9097785011694401 absolute error 1.0811351813799774e-12 relative error 5.661050120307478e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.850087490434489 y[1] (closed_form) 1.9156247709270728 y[1] (numeric) 1.915624770928161 absolute error 1.0882406087375784e-12 relative error 5.680865194757953e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8600920379083927 y[1] (closed_form) 1.9212793055432609 y[1] (numeric) 1.921279305544356 absolute error 1.0951239914902544e-12 relative error 5.6999728687578673e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8700965853822966 y[1] (closed_form) 1.9267415390537885 y[1] (numeric) 1.9267415390548897 absolute error 1.1011191958232303e-12 relative error 5.7149294469666306e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8801011328562005 y[1] (closed_form) 1.9320109247429644 y[1] (numeric) 1.932010924744071 absolute error 1.106670310946356e-12 relative error 5.7280748093781505e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8901056803301044 y[1] (closed_form) 1.937086935197262 y[1] (numeric) 1.9370869351983748 absolute error 1.112887559884257e-12 relative error 5.7451606309601524e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9001102278040083 y[1] (closed_form) 1.941969062358108 y[1] (numeric) 1.9419690623592272 absolute error 1.1191048088221578e-12 relative error 5.7627324271749374e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.910114775277912 y[1] (closed_form) 1.9466568175727346 y[1] (numeric) 1.9466568175738586 absolute error 1.1239897901305085e-12 relative error 5.773949367880874e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.920119322751816 y[1] (closed_form) 1.9511497316430877 y[1] (numeric) 1.951149731644216 absolute error 1.128208637624084e-12 relative error 5.7822760566612455e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.93012387022572 y[1] (closed_form) 1.9554473548727902 y[1] (numeric) 1.9554473548739233 absolute error 1.1330936189324348e-12 relative error 5.794549344981712e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.940128417699624 y[1] (closed_form) 1.9595492571121518 y[1] (numeric) 1.9595492571132882 absolute error 1.1364242880063102e-12 relative error 5.799416798948416e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9501329651735277 y[1] (closed_form) 1.9634550278012217 y[1] (numeric) 1.9634550278023628 absolute error 1.1410872247097359e-12 relative error 5.811629034292597e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9601375126474316 y[1] (closed_form) 1.9671642760108836 y[1] (numeric) 1.9671642760120291 absolute error 1.1455281168082365e-12 relative error 5.823245830445829e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9701420601213355 y[1] (closed_form) 1.9706766304819823 y[1] (numeric) 1.9706766304831325 absolute error 1.1501910535116622e-12 relative error 5.836528610126929e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9799852439263055 y[1] (closed_form) 1.9739398369584815 y[1] (numeric) 1.973939836959635 absolute error 1.1535217225855376e-12 relative error 5.843753193425216e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9899897914002094 y[1] (closed_form) 1.9770605582950898 y[1] (numeric) 1.977060558296245 absolute error 1.1552980794249379e-12 relative error 5.843513870011168e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9999943388741133 y[1] (closed_form) 1.9799833953729018 y[1] (numeric) 1.9799833953740618 absolute error 1.1599610161283636e-12 relative error 5.858438100234176e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.009998886348017 y[1] (closed_form) 1.982708055644759 y[1] (numeric) 1.9827080556459222 absolute error 1.163291685202239e-12 relative error 5.867185952517588e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.020003433821921 y[1] (closed_form) 1.985234266399046 y[1] (numeric) 1.9852342664002125 absolute error 1.1664003096711895e-12 relative error 5.875378686601487e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.030007981295825 y[1] (closed_form) 1.987561774786987 y[1] (numeric) 1.987561774788156 absolute error 1.1690648449302898e-12 relative error 5.881904450771509e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.040012528769729 y[1] (closed_form) 1.989690347847952 y[1] (numeric) 1.9896903478491235 absolute error 1.1715073355844652e-12 relative error 5.88788771504856e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0500170762436327 y[1] (closed_form) 1.9916197725327756 y[1] (numeric) 1.991619772533949 absolute error 1.1735057370287905e-12 relative error 5.892217747649814e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0600216237175366 y[1] (closed_form) 1.99334985572508 y[1] (numeric) 1.993349855726255 absolute error 1.1750600492632657e-12 relative error 5.894901218109744e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0700261711914405 y[1] (closed_form) 1.9948804242606042 y[1] (numeric) 1.9948804242617812 absolute error 1.177058450707591e-12 relative error 5.90039601568532e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0800307186653444 y[1] (closed_form) 1.9962113249445366 y[1] (numeric) 1.996211324945715 absolute error 1.1783907183371412e-12 relative error 5.903136123976663e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0900352661392483 y[1] (closed_form) 1.9973424245668474 y[1] (numeric) 1.9973424245680274 absolute error 1.1799450305716164e-12 relative error 5.907575066040589e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.100039813613152 y[1] (closed_form) 1.9982736099156226 y[1] (numeric) 1.998273609916803 absolute error 1.1803891197814664e-12 relative error 5.907044530460012e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.110044361087056 y[1] (closed_form) 1.9990047877883945 y[1] (numeric) 1.9990047877895756 absolute error 1.1810552535962415e-12 relative error 5.908216232452879e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.12004890856096 y[1] (closed_form) 1.999535885001471 y[1] (numeric) 1.999535885002654 absolute error 1.1828316104356418e-12 relative error 5.915530795461425e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.130053456034864 y[1] (closed_form) 1.9998668483972604 y[1] (numeric) 1.9998668483984428 absolute error 1.1823875212257917e-12 relative error 5.912331224318182e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1400580035087677 y[1] (closed_form) 1.999997644849591 y[1] (numeric) 1.9999976448507724 absolute error 1.1812772982011666e-12 relative error 5.906393446228303e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1500625509826716 y[1] (closed_form) 1.9999282612670286 y[1] (numeric) 1.9999282612682092 absolute error 1.1806111643863915e-12 relative error 5.903267568399831e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1600670984565755 y[1] (closed_form) 1.9996587045941854 y[1] (numeric) 1.9996587045953658 absolute error 1.1803891197814664e-12 relative error 5.902952924264227e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1700716459304794 y[1] (closed_form) 1.9991890018110252 y[1] (numeric) 1.9991890018122047 absolute error 1.1795009413617663e-12 relative error 5.899897109744402e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1800761934043833 y[1] (closed_form) 1.998519199930163 y[1] (numeric) 1.9985191999313412 absolute error 1.1781686737322161e-12 relative error 5.895208181004148e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.190080740878287 y[1] (closed_form) 1.99764936599216 y[1] (numeric) 1.9976493659933368 absolute error 1.176836406102666e-12 relative error 5.891105947505327e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.200085288352191 y[1] (closed_form) 1.996579587058812 y[1] (numeric) 1.9965795870599878 absolute error 1.1757261830780408e-12 relative error 5.88870181133134e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.210089835826095 y[1] (closed_form) 1.9953099702044383 y[1] (numeric) 1.9953099702056116 absolute error 1.1732836924238654e-12 relative error 5.880207636629268e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.220094383299999 y[1] (closed_form) 1.9938406425051607 y[1] (numeric) 1.993840642506333 absolute error 1.1723955140041653e-12 relative error 5.880086346976602e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2300989307739028 y[1] (closed_form) 1.992171751026188 y[1] (numeric) 1.9921717510273584 absolute error 1.17039711255984e-12 relative error 5.874980969672702e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2401034782478066 y[1] (closed_form) 1.990303462807094 y[1] (numeric) 1.9903034628082614 absolute error 1.1675105326958146e-12 relative error 5.865992571048313e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2501080257217105 y[1] (closed_form) 1.9882359648450991 y[1] (numeric) 1.9882359648462644 absolute error 1.1652900866465643e-12 relative error 5.860924494127389e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2601125731956144 y[1] (closed_form) 1.9859694640763543 y[1] (numeric) 1.9859694640775176 absolute error 1.163291685202239e-12 relative error 5.857550713868953e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2701171206695183 y[1] (closed_form) 1.9835041873552282 y[1] (numeric) 1.9835041873563894 absolute error 1.1612932837579137e-12 relative error 5.8547558969682e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.280121668143422 y[1] (closed_form) 1.9808403814316016 y[1] (numeric) 1.9808403814327598 absolute error 1.1581846592889633e-12 relative error 5.846935826560215e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.290126215617326 y[1] (closed_form) 1.9779783129261694 y[1] (numeric) 1.9779783129273243 absolute error 1.1548539902150878e-12 relative error 5.838557393011185e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.30013076309123 y[1] (closed_form) 1.9749182683037558 y[1] (numeric) 1.9749182683049071 absolute error 1.1513012765362873e-12 relative error 5.829614799832361e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.310135310565134 y[1] (closed_form) 1.9716605538446412 y[1] (numeric) 1.9716605538457888 absolute error 1.1475265182525618e-12 relative error 5.820101822369685e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3201398580390378 y[1] (closed_form) 1.9682054956139063 y[1] (numeric) 1.9682054956150492 absolute error 1.1428635815491361e-12 relative error 5.806627326750064e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3301444055129417 y[1] (closed_form) 1.9645534394287976 y[1] (numeric) 1.9645534394299369 absolute error 1.1393108678703356e-12 relative error 5.799337625560317e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3399875893179116 y[1] (closed_form) 1.9607683846205368 y[1] (numeric) 1.9607683846216717 absolute error 1.134869975771835e-12 relative error 5.78788389629948e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3499921367918155 y[1] (closed_form) 1.9567266109299302 y[1] (numeric) 1.9567266109310608 absolute error 1.1306511282782594e-12 relative error 5.778278487973953e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3599966842657194 y[1] (closed_form) 1.9524889882080705 y[1] (numeric) 1.9524889882091958 absolute error 1.1253220577600587e-12 relative error 5.76352575894854e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3700012317396233 y[1] (closed_form) 1.9480559405991893 y[1] (numeric) 1.9480559406003093 absolute error 1.119992987241858e-12 relative error 5.749285551303865e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.380005779213527 y[1] (closed_form) 1.9434279118076219 y[1] (numeric) 1.9434279118087372 absolute error 1.1153300505384323e-12 relative error 5.738983389926931e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.390010326687431 y[1] (closed_form) 1.9386053650533959 y[1] (numeric) 1.9386053650545063 absolute error 1.1104450692300816e-12 relative error 5.7280614675256305e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.400014874161335 y[1] (closed_form) 1.9335887830258687 y[1] (numeric) 1.9335887830269731 absolute error 1.1044498648971057e-12 relative error 5.7119170042388985e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.410019421635239 y[1] (closed_form) 1.9283786678354142 y[1] (numeric) 1.9283786678365136 absolute error 1.09934283898383e-12 relative error 5.700866003759683e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4200239691091427 y[1] (closed_form) 1.9229755409631668 y[1] (numeric) 1.9229755409642595 absolute error 1.092681500836079e-12 relative error 5.682243364826077e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4300285165830466 y[1] (closed_form) 1.917379943208826 y[1] (numeric) 1.9173799432099132 absolute error 1.0871303857129533e-12 relative error 5.6698746096904986e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4400330640569505 y[1] (closed_form) 1.9115924346365287 y[1] (numeric) 1.911592434637609 absolute error 1.0802470029602773e-12 relative error 5.651032005500043e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4500376115308544 y[1] (closed_form) 1.9056135945187906 y[1] (numeric) 1.9056135945198647 absolute error 1.0740297540223764e-12 relative error 5.636136082948089e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4600421590047583 y[1] (closed_form) 1.8994440212785282 y[1] (numeric) 1.899444021279596 absolute error 1.0678125050844756e-12 relative error 5.621710843395764e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.470046706478662 y[1] (closed_form) 1.8930843324291617 y[1] (numeric) 1.8930843324302227 absolute error 1.0609291223317996e-12 relative error 5.604235924188544e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.480051253952566 y[1] (closed_form) 1.886535164512809 y[1] (numeric) 1.8865351645138633 absolute error 1.0542677841840487e-12 relative error 5.588381303543364e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.49005580142647 y[1] (closed_form) 1.8797971730365726 y[1] (numeric) 1.87979717303762 absolute error 1.0473844014313727e-12 relative error 5.571794747086766e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.500060348900374 y[1] (closed_form) 1.8728710324069313 y[1] (numeric) 1.8728710324079707 absolute error 1.0393907956540716e-12 relative error 5.5497190018380085e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5100648963742778 y[1] (closed_form) 1.865757435862238 y[1] (numeric) 1.8657574358632685 absolute error 1.0305090114570703e-12 relative error 5.5232743102043843e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5200694438481817 y[1] (closed_form) 1.858457095403333 y[1] (numeric) 1.8584570954043556 absolute error 1.0225154056797692e-12 relative error 5.501958631215304e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5300739913220855 y[1] (closed_form) 1.8509707417222812 y[1] (numeric) 1.8509707417232963 absolute error 1.0151879337172431e-12 relative error 5.484624423466773e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5400785387959894 y[1] (closed_form) 1.843299124129235 y[1] (numeric) 1.8432991241302417 absolute error 1.006750238730092e-12 relative error 5.461675891620008e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5500830862698933 y[1] (closed_form) 1.8354430104774377 y[1] (numeric) 1.8354430104784352 absolute error 9.974243653232406e-13 relative error 5.434243175241869e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.560087633743797 y[1] (closed_form) 1.8274031870863674 y[1] (numeric) 1.8274031870873568 absolute error 9.894307595459395e-13 relative error 5.4144086348207547e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.570092181217701 y[1] (closed_form) 1.8191804586630353 y[1] (numeric) 1.8191804586640152 absolute error 9.798828415341632e-13 relative error 5.386397137611655e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.580096728691605 y[1] (closed_form) 1.8107756482214423 y[1] (numeric) 1.8107756482224122 absolute error 9.698908343125368e-13 relative error 5.356217570438231e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.590101276165509 y[1] (closed_form) 1.8021895970002022 y[1] (numeric) 1.802189597001162 absolute error 9.598988270909103e-13 relative error 5.326292132019241e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.600105823639413 y[1] (closed_form) 1.7934231643783438 y[1] (numeric) 1.793423164379294 absolute error 9.50128864474209e-13 relative error 5.2978509664982113e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6101103711133167 y[1] (closed_form) 1.7844772277892942 y[1] (numeric) 1.7844772277902343 absolute error 9.401368572525826e-13 relative error 5.2684161087181506e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6201149185872206 y[1] (closed_form) 1.7753526826330575 y[1] (numeric) 1.775352682633987 absolute error 9.29478716216181e-13 relative error 5.235459552958539e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6301194660611245 y[1] (closed_form) 1.7660504421865924 y[1] (numeric) 1.7660504421875114 absolute error 9.190426197847046e-13 relative error 5.2039432047411644e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6401240135350283 y[1] (closed_form) 1.7565714375124044 y[1] (numeric) 1.7565714375133135 absolute error 9.090506125630782e-13 relative error 5.175141717267384e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6501285610089322 y[1] (closed_form) 1.7469166173653536 y[1] (numeric) 1.7469166173662518 absolute error 8.981704269217516e-13 relative error 5.141461349634105e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.660133108482836 y[1] (closed_form) 1.7370869480976954 y[1] (numeric) 1.7370869480985829 absolute error 8.875122858853501e-13 relative error 5.10919897738726e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.67013765595674 y[1] (closed_form) 1.7270834135623563 y[1] (numeric) 1.7270834135632342 absolute error 8.779643678735738e-13 relative error 5.083508769635202e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.680142203430644 y[1] (closed_form) 1.7169070150144619 y[1] (numeric) 1.7169070150153285 absolute error 8.666400930223972e-13 relative error 5.047682171740077e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.689985387235614 y[1] (closed_form) 1.7067270362587412 y[1] (numeric) 1.7067270362595959 absolute error 8.546496843564455e-13 relative error 5.007535863672109e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6999899347095178 y[1] (closed_form) 1.6962107292442274 y[1] (numeric) 1.6962107292450708 absolute error 8.433254095052689e-13 relative error 4.971819803787147e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7099944821834216 y[1] (closed_form) 1.6855246482683093 y[1] (numeric) 1.6855246482691408 absolute error 8.315570454442422e-13 relative error 4.9335205290446234e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7199990296573255 y[1] (closed_form) 1.6746698629022772 y[1] (numeric) 1.6746698629030967 absolute error 8.195666367782906e-13 relative error 4.893899716795197e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7300035771312294 y[1] (closed_form) 1.6636474596030673 y[1] (numeric) 1.6636474596038746 absolute error 8.073541835074138e-13 relative error 4.8529162765051316e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7400081246051333 y[1] (closed_form) 1.6524585416045174 y[1] (numeric) 1.6524585416053121 absolute error 7.946976410266871e-13 relative error 4.809183534825904e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.750012672079037 y[1] (closed_form) 1.6411042288069437 y[1] (numeric) 1.641104228807725 absolute error 7.813749647311852e-13 relative error 4.761275676556096e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.760017219552941 y[1] (closed_form) 1.6295856576650507 y[1] (numeric) 1.629585657665819 absolute error 7.682743330406083e-13 relative error 4.7145378914381774e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.770021767026845 y[1] (closed_form) 1.6179039810741822 y[1] (numeric) 1.6179039810749385 absolute error 7.562839243746566e-13 relative error 4.674467293618585e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.780026314500749 y[1] (closed_form) 1.6060603682549293 y[1] (numeric) 1.6060603682556724 absolute error 7.431832926840798e-13 relative error 4.6273683565928986e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7900308619746528 y[1] (closed_form) 1.5940560046361014 y[1] (numeric) 1.5940560046368317 absolute error 7.30304705598428e-13 relative error 4.581424388317808e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8000354094485567 y[1] (closed_form) 1.5818920917360775 y[1] (numeric) 1.5818920917367938 absolute error 7.16315895488151e-13 relative error 4.528222242403504e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8100399569224606 y[1] (closed_form) 1.5695698470425457 y[1] (numeric) 1.5695698470432495 absolute error 7.038813976123492e-13 relative error 4.4845496932719136e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8200445043963644 y[1] (closed_form) 1.5570905038906444 y[1] (numeric) 1.557090503891335 absolute error 6.905587213168474e-13 relative error 4.434929887449534e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8300490518702683 y[1] (closed_form) 1.5444553113395185 y[1] (numeric) 1.5444553113401955 absolute error 6.770140004164205e-13 relative error 4.3835130446684194e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8400535993441722 y[1] (closed_form) 1.5316655340473002 y[1] (numeric) 1.531665534047963 absolute error 6.628031457012185e-13 relative error 4.327336033669281e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.850058146818076 y[1] (closed_form) 1.518722452144529 y[1] (numeric) 1.5187224521451783 absolute error 6.492584248007915e-13 relative error 4.275030133939213e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.86006269429198 y[1] (closed_form) 1.5056273611060242 y[1] (numeric) 1.5056273611066604 absolute error 6.361577931102147e-13 relative error 4.2252008003022555e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.870067241765884 y[1] (closed_form) 1.4923815716212194 y[1] (numeric) 1.4923815716218405 absolute error 6.210587599753126e-13 relative error 4.16152793484737e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.880071789239788 y[1] (closed_form) 1.4789864094629768 y[1] (numeric) 1.4789864094635823 absolute error 6.055156376305604e-13 relative error 4.0941257725987115e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8900763367136917 y[1] (closed_form) 1.465443215354889 y[1] (numeric) 1.4654432153554802 absolute error 5.910827383104333e-13 relative error 4.033474187993629e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9000808841875956 y[1] (closed_form) 1.451753344837087 y[1] (numeric) 1.4517533448376632 absolute error 5.762057497804562e-13 relative error 3.969033388692602e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9100854316614995 y[1] (closed_form) 1.4379181681305633 y[1] (numeric) 1.4379181681311242 absolute error 5.608846720406291e-13 relative error 3.900671710475951e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9200899791354034 y[1] (closed_form) 1.4239390700000263 y[1] (numeric) 1.4239390700005718 absolute error 5.455635943008019e-13 relative error 3.831368952470641e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9300945266093072 y[1] (closed_form) 1.4098174496152995 y[1] (numeric) 1.4098174496158293 absolute error 5.297984273511247e-13 relative error 3.757922186987345e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.940099074083211 y[1] (closed_form) 1.3955547204112781 y[1] (numeric) 1.3955547204117928 absolute error 5.146993942162226e-13 relative error 3.688134808963547e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.950103621557115 y[1] (closed_form) 1.381152309946458 y[1] (numeric) 1.3811523099469571 absolute error 4.991562718714704e-13 relative error 3.614056670482785e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.960108169031019 y[1] (closed_form) 1.3666116597600513 y[1] (numeric) 1.3666116597605338 absolute error 4.82502926502093e-13 relative error 3.530651323337974e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.970112716504923 y[1] (closed_form) 1.3519342252277027 y[1] (numeric) 1.3519342252281694 absolute error 4.667377595524158e-13 relative error 3.452370321298763e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9801172639788267 y[1] (closed_form) 1.3371214754158207 y[1] (numeric) 1.3371214754162701 absolute error 4.4941828036826337e-13 relative error 3.361087893891633e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9901218114527306 y[1] (closed_form) 1.322174892934538 y[1] (numeric) 1.3221748929349715 absolute error 4.334310688136611e-13 relative error 3.278167443126003e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.000126358926635 y[1] (closed_form) 1.3070959737893173 y[1] (numeric) 1.3070959737897352 absolute error 4.178879464689089e-13 relative error 3.197071637038534e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.010130906400566 y[1] (closed_form) 1.291886227231175 y[1] (numeric) 1.2918862272316183 absolute error 4.432010314303625e-13 relative error 3.4306506415835825e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.020135453874498 y[1] (closed_form) 1.2765471756057432 y[1] (numeric) 1.276547175606212 absolute error 4.687361609967411e-13 relative error 3.6719062949970325e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.030140001348429 y[1] (closed_form) 1.2610803542007745 y[1] (numeric) 1.2610803542012687 absolute error 4.942712905631197e-13 relative error 3.9194274093372136e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.040144548822361 y[1] (closed_form) 1.2454873110925162 y[1] (numeric) 1.2454873110930358 absolute error 5.195843755245733e-13 relative error 4.171735600170863e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.049987732627358 y[1] (closed_form) 1.2300240992248652 y[1] (numeric) 1.23002409922541 absolute error 5.446754158811018e-13 relative error 4.428168653153581e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.059992280101289 y[1] (closed_form) 1.2141852800567294 y[1] (numeric) 1.2141852800573003 absolute error 5.708766792622555e-13 relative error 4.701726240953793e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.0699968275752205 y[1] (closed_form) 1.1982249329196206 y[1] (numeric) 1.1982249329202181 absolute error 5.975220318532593e-13 relative error 4.9867267441791934e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.080001375049152 y[1] (closed_form) 1.182144655286843 y[1] (numeric) 1.182144655287467 absolute error 6.23945339839338e-13 relative error 5.2780794384925755e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.090005922523083 y[1] (closed_form) 1.165946056635561 y[1] (numeric) 1.1659460566362112 absolute error 6.501466032204917e-13 relative error 5.576129354530743e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.100010469997015 y[1] (closed_form) 1.1496307582857053 y[1] (numeric) 1.1496307582863827 absolute error 6.774580896262705e-13 relative error 5.892831978821405e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.110015017470946 y[1] (closed_form) 1.1332003932376953 y[1] (numeric) 1.1332003932383996 absolute error 7.043254868221993e-13 relative error 6.215365711353606e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.120019564944878 y[1] (closed_form) 1.116656606008992 y[1] (numeric) 1.1166566060097232 absolute error 7.311928840181281e-13 relative error 6.548054971272343e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.130024112418809 y[1] (closed_form) 1.1000010524694976 y[1] (numeric) 1.1000010524702553 absolute error 7.576161920042068e-13 relative error 6.887413337499648e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.1400286598927405 y[1] (closed_form) 1.0832353996758195 y[1] (numeric) 1.0832353996766049 absolute error 7.853717676198357e-13 relative error 7.250240971213408e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.150033207366672 y[1] (closed_form) 1.0663613257044147 y[1] (numeric) 1.0663613257052276 absolute error 8.129052986305396e-13 relative error 7.623169361412769e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.160037754840603 y[1] (closed_form) 1.0493805194836299 y[1] (numeric) 1.0493805194844705 absolute error 8.406608742461685e-13 relative error 8.011020393820858e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.170042302314535 y[1] (closed_form) 1.0322946806246573 y[1] (numeric) 1.0322946806255258 absolute error 8.684164498617974e-13 relative error 8.412485951553149e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.180046849788466 y[1] (closed_form) 1.0151055192514207 y[1] (numeric) 1.0151055192523177 absolute error 8.970602038971265e-13 relative error 8.837112860529558e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.190051397262398 y[1] (closed_form) 0.9978147558294075 y[1] (numeric) 0.9978147558303331 absolute error 9.25592935629993e-13 relative error 9.276200118534207e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.200055944736329 y[1] (closed_form) 0.9804241209934682 y[1] (numeric) 0.9804241209944226 absolute error 9.543477119677846e-13 relative error 9.734029299490712e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.2100604922102605 y[1] (closed_form) 0.9629353553745967 y[1] (numeric) 0.9629353553755801 absolute error 9.833245329105011e-13 relative error 1.0211739837177053e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.220065039684192 y[1] (closed_form) 0.9453502094257104 y[1] (numeric) 0.945350209426723 absolute error 1.0126344207606053e-12 relative error 1.0711738471775125e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.230069587158123 y[1] (closed_form) 0.9276704432464465 y[1] (numeric) 0.9276704432474883 absolute error 1.0417222640057844e-12 relative error 1.1229443296265921e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.240074134632055 y[1] (closed_form) 0.9098978264069945 y[1] (numeric) 0.9098978264080655 absolute error 1.0710321518558885e-12 relative error 1.1770905708008793e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.250078682105986 y[1] (closed_form) 0.8920341377709783 y[1] (numeric) 0.8920341377720785 absolute error 1.1002310174035301e-12 relative error 1.2333956412843077e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.260083229579918 y[1] (closed_form) 0.8740811653174109 y[1] (numeric) 0.8740811653185405 absolute error 1.1296519275560968e-12 relative error 1.292387906729324e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.270087777053849 y[1] (closed_form) 0.8560407059617342 y[1] (numeric) 0.8560407059628931 absolute error 1.1588507931037384e-12 relative error 1.3537332804773657e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.28009232452778 y[1] (closed_form) 0.8379145653759664 y[1] (numeric) 0.8379145653771551 absolute error 1.1887157924661551e-12 relative error 1.4186598987365576e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.290096872001712 y[1] (closed_form) 0.8197045578079712 y[1] (numeric) 0.8197045578091898 absolute error 1.2185807918285718e-12 relative error 1.4866097549674034e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.300101419475643 y[1] (closed_form) 0.8014125058998702 y[1] (numeric) 0.8014125059011189 absolute error 1.2486678357959136e-12 relative error 1.558083791559804e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.310105966949575 y[1] (closed_form) 0.7830402405056139 y[1] (numeric) 0.7830402405068932 absolute error 1.2793099912755679e-12 relative error 1.6337729852165829e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.320110514423506 y[1] (closed_form) 0.7645896005077317 y[1] (numeric) 0.7645896005090417 absolute error 1.3099521467552222e-12 relative error 1.7132748678314984e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.330115061897438 y[1] (closed_form) 0.7460624326332775 y[1] (numeric) 0.7460624326346182 absolute error 1.340705324537339e-12 relative error 1.7970417298794008e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.340119609371369 y[1] (closed_form) 0.7274605912689909 y[1] (numeric) 0.7274605912703624 absolute error 1.3715695246219184e-12 relative error 1.8854210675925912e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.3501241568453 y[1] (closed_form) 0.7087859382756908 y[1] (numeric) 0.7087859382770931 absolute error 1.4023227024040352e-12 relative error 1.978485501300373e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.360128704319232 y[1] (closed_form) 0.6900403428019224 y[1] (numeric) 0.6900403428033552 absolute error 1.432853835581227e-12 relative error 2.076478354530832e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.370133251793163 y[1] (closed_form) 0.671225681096873 y[1] (numeric) 0.6712256810983376 absolute error 1.4646062140855065e-12 relative error 2.1819877506655335e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.380137799267095 y[1] (closed_form) 0.6523438363225786 y[1] (numeric) 0.6523438363240741 absolute error 1.4954704141700859e-12 relative error 2.292457337529879e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.390142346741026 y[1] (closed_form) 0.6333966983654375 y[1] (numeric) 0.6333966983669644 absolute error 1.5268897257669778e-12 relative error 2.41063732998185e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.399985530546023 y[1] (closed_form) 0.6146932782173185 y[1] (numeric) 0.6146932782188763 absolute error 1.5578649481540197e-12 relative error 2.5343777187087647e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.409990078019955 y[1] (closed_form) 0.5956222262133513 y[1] (numeric) 0.5956222262149401 absolute error 1.5888401705410615e-12 relative error 2.667530022581697e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.419994625493886 y[1] (closed_form) 0.5764915583001682 y[1] (numeric) 0.5764915583017887 absolute error 1.6204815267428785e-12 relative error 2.810937130668485e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.429999172967817 y[1] (closed_form) 0.5573031892689094 y[1] (numeric) 0.5573031892705615 absolute error 1.6521228829446954e-12 relative error 2.964495654711774e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.440003720441749 y[1] (closed_form) 0.5380590396860275 y[1] (numeric) 0.5380590396877118 absolute error 1.684319350658825e-12 relative error 3.130361589393001e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.45000826791568 y[1] (closed_form) 0.5187610357010584 y[1] (numeric) 0.5187610357027748 absolute error 1.716404796070492e-12 relative error 3.308661749722446e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.460012815389612 y[1] (closed_form) 0.499411108853832 y[1] (numeric) 0.4994111088555798 absolute error 1.747824107667384e-12 relative error 3.499770182683178e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.470017362863543 y[1] (closed_form) 0.4800111958811447 y[1] (numeric) 0.4800111958829244 absolute error 1.779687508474126e-12 relative error 3.7075958305664046e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.4800219103374745 y[1] (closed_form) 0.460563238522911 y[1] (numeric) 0.4605632385247228 absolute error 1.8118284650370242e-12 relative error 3.9339406915059155e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.490026457811406 y[1] (closed_form) 0.44106918332781436 y[1] (numeric) 0.4410691833296583 absolute error 1.8439139104486912e-12 relative error 4.1805548429762895e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.500031005285337 y[1] (closed_form) 0.42153098145847706 y[1] (numeric) 0.4215309814603534 absolute error 1.876332422767746e-12 relative error 4.4512325435148924e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.510035552759269 y[1] (closed_form) 0.40195058849616794 y[1] (numeric) 0.40195058849807663 absolute error 1.908695423935569e-12 relative error 4.748582235136511e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.5200401002332 y[1] (closed_form) 0.382329964245068 y[1] (numeric) 0.38232996424700905 absolute error 1.9410584251033924e-12 relative error 5.076919432501508e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.530044647707132 y[1] (closed_form) 0.36267107253611336 y[1] (numeric) 0.3626710725380869 absolute error 1.9735324485736783e-12 relative error 5.441659393380931e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.540049195181063 y[1] (closed_form) 0.34297588103043536 y[1] (numeric) 0.3429758810324414 absolute error 2.0060619831951954e-12 relative error 5.848988497873935e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.5500537426549945 y[1] (closed_form) 0.32324636102241666 y[1] (numeric) 0.32324636102445514 absolute error 2.03848049551425e-12 relative error 6.306275155168365e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.560058290128926 y[1] (closed_form) 0.3034844872423845 y[1] (numeric) 0.3034844872444553 absolute error 2.070787985530842e-12 relative error 6.823373426256749e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.570062837602857 y[1] (closed_form) 0.2836922376589596 y[1] (numeric) 0.2836922376610632 absolute error 2.1035950759085154e-12 relative error 7.415060395263089e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.580067385076789 y[1] (closed_form) 0.2638715932810808 y[1] (numeric) 0.26387159328321697 absolute error 2.1361801216812637e-12 relative error 8.095528946936573e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.59007193255072 y[1] (closed_form) 0.2440245379597258 y[1] (numeric) 0.24402453796189472 absolute error 2.16890394533209e-12 relative error 8.888056764562133e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.600076480024652 y[1] (closed_form) 0.2241530581893473 y[1] (numeric) 0.2241530581915489 absolute error 2.201600013407301e-12 relative error 9.821860255627466e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.610081027498583 y[1] (closed_form) 0.20425914290904432 y[1] (numeric) 0.20425914291127856 absolute error 2.2342405703312807e-12 relative error 1.0938264689214807e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.6200855749725145 y[1] (closed_form) 0.18434478330348908 y[1] (numeric) 0.1843447833057561 absolute error 2.2670199051333384e-12 relative error 1.2297716618327712e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.630090122446446 y[1] (closed_form) 0.1644119726036292 y[1] (numeric) 0.16441197260592913 absolute error 2.2999380178134743e-12 relative error 1.398887186493562e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.640094669920377 y[1] (closed_form) 0.14446270588718468 y[1] (numeric) 0.14446270588951743 absolute error 2.3327451081911477e-12 relative error 1.614773234285712e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.650099217394309 y[1] (closed_form) 0.1244989798789606 y[1] (numeric) 0.12449897988132616 absolute error 2.365566076356629e-12 relative error 1.9000686420535017e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.66010376486824 y[1] (closed_form) 0.10452279275099435 y[1] (numeric) 0.10452279275339288 absolute error 2.398525822400188e-12 relative error 2.2947395101795825e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.670108312342172 y[1] (closed_form) 0.08453614392255861 y[1] (numeric) 0.08453614392499005 absolute error 2.431443935080324e-12 relative error 2.8762181739774026e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.680112859816103 y[1] (closed_form) 0.06454103386003901 y[1] (numeric) 0.06454103386250332 absolute error 2.4643065366092287e-12 relative error 3.81820121126851e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.6901174072900345 y[1] (closed_form) 0.04453946387670727 y[1] (numeric) 0.04453946387920449 absolute error 2.4972177103954607e-12 relative error 5.606752962514725e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.700121954763966 y[1] (closed_form) 0.024533435932409437 y[1] (numeric) 0.024533435934939597 absolute error 2.5301601092042603e-12 relative error 1.0313109489331006e-08% Desired digits 8 Estimated correct digits 10 Correct digits 10 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.710126502237897 y[1] (closed_form) 0.004524952433189492 y[1] (numeric) 0.0045249524357526116 absolute error 2.5631198552478196e-12 relative error 5.664412815586572e-08% Desired digits 8 Estimated correct digits 9 Correct digits 10 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.720131049711829 y[1] (closed_form) -0.015483983969131766 y[1] (numeric) -0.01548398396653568 absolute error 2.596086540185283e-12 relative error 1.6766269878351298e-08% Desired digits 8 Estimated correct digits 9 Correct digits 10 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.73013559718576 y[1] (closed_form) -0.035491370577402405 y[1] (numeric) -0.03549137057477335 absolute error 2.629056694569698e-12 relative error 7.4075941610540005e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.740140144659692 y[1] (closed_form) -0.055495204849589586 y[1] (numeric) -0.055495204846927576 absolute error 2.6620095017193535e-12 relative error 4.796827958261047e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.750144692133623 y[1] (closed_form) -0.07549348459921428 y[1] (numeric) -0.0754934845965193 absolute error 2.694969247762913e-12 relative error 3.5698037546818466e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.75998787593862 y[1] (closed_form) -0.0951618476235635 y[1] (numeric) -0.09516184762083618 absolute error 2.7273183711429283e-12 relative error 2.865978792185203e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.7699924234125515 y[1] (closed_form) -0.11514318420945403 y[1] (numeric) -0.11514318420669385 absolute error 2.760180972671833e-12 relative error 2.3971726955638626e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.779996970886483 y[1] (closed_form) -0.13511299609845692 y[1] (numeric) -0.13511299609566388 absolute error 2.7930435742007376e-12 relative error 2.067190910462414e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.790001518360414 y[1] (closed_form) -0.1550692845093981 y[1] (numeric) -0.15506928450657217 absolute error 2.825933931305258e-12 relative error 1.8223685884963181e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.800006065834346 y[1] (closed_form) -0.17501005201467018 y[1] (numeric) -0.1750100520118115 absolute error 2.8586855105317e-12 relative error 1.6334407524729329e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.810010613308277 y[1] (closed_form) -0.19493330274015538 y[1] (numeric) -0.19493330273726395 absolute error 2.891437089758142e-12 relative error 1.4832955934740436e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.820015160782209 y[1] (closed_form) -0.21483704256499275 y[1] (numeric) -0.21483704256206845 absolute error 2.9242996912870467e-12 relative error 1.3611710794251806e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.83001970825614 y[1] (closed_form) -0.23471927932117 y[1] (numeric) -0.23471927931821307 absolute error 2.9569402482110263e-12 relative error 1.2597773207053005e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.8400242557300714 y[1] (closed_form) -0.25457802299292 y[1] (numeric) -0.2545780229899304 absolute error 2.9896085607106215e-12 relative error 1.174338823738043e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.850028803204003 y[1] (closed_form) -0.27441128591590147 y[1] (numeric) -0.2744112859128792 absolute error 3.022249117634601e-12 relative error 1.10135744145772e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.860033350677934 y[1] (closed_form) -0.29421708297614485 y[1] (numeric) -0.29421708297309 absolute error 3.0548341634073495e-12 relative error 1.03829258740052e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.870037898151866 y[1] (closed_form) -0.3139934318087424 y[1] (numeric) -0.313993431805655 absolute error 3.087419209180098e-12 relative error 9.83275093174779e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.880042445625797 y[1] (closed_form) -0.3337383529962635 y[1] (numeric) -0.3337383529931437 absolute error 3.119782210347921e-12 relative error 9.347988273864497e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.890046993099729 y[1] (closed_form) -0.35344987026687485 y[1] (numeric) -0.35344987026372243 absolute error 3.1524227672719007e-12 relative error 8.919009546931341e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.90005154057366 y[1] (closed_form) -0.3731260106921456 y[1] (numeric) -0.3731260106889608 absolute error 3.1848412795909553e-12 relative error 8.535564898526108e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.910056088047591 y[1] (closed_form) -0.39276480488451826 y[1] (numeric) -0.3927648048813013 absolute error 3.2169822361538536e-12 relative error 8.190607193278733e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.920060635521523 y[1] (closed_form) -0.4123642871944247 y[1] (numeric) -0.41236428719117546 absolute error 3.2492342150192144e-12 relative error 7.879523799516714e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.930065182995454 y[1] (closed_form) -0.4319224959070285 y[1] (numeric) -0.4319224959037472 absolute error 3.2813196604308814e-12 relative error 7.597010323669704e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.940069730469386 y[1] (closed_form) -0.45143747343857327 y[1] (numeric) -0.4514374734352597 absolute error 3.3135716392962422e-12 relative error 7.340045597138752e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.950074277943317 y[1] (closed_form) -0.47090726653231724 y[1] (numeric) -0.47090726652897164 absolute error 3.345601573556678e-12 relative error 7.104586850385919e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.9600788254172485 y[1] (closed_form) -0.49032992645403517 y[1] (numeric) -0.4903299264506575 absolute error 3.377687018968345e-12 relative error 6.888600586537886e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.97008337289118 y[1] (closed_form) -0.5097035091870674 y[1] (numeric) -0.5097035091836577 absolute error 3.4097169532287808e-12 relative error 6.6896085504041e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.980087920365111 y[1] (closed_form) -0.5290260756268967 y[1] (numeric) -0.5290260756234549 absolute error 3.4418023986404478e-12 relative error 6.505922027684375e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.990092467839043 y[1] (closed_form) -0.5482956917752336 y[1] (numeric) -0.5482956917717602 absolute error 3.4734437548422648e-12 relative error 6.334982760116517e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136366893411197 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = 2.0 * sin ( x ) ; Iterations 22740 Total Elapsed Time 4 Seconds Elapsed Time(since restart) 4 Seconds Time to Timeout 2 Minutes 56.0 Seconds Percent Done 100.00527304044712%