##############ECHO OF PROBLEM################# ##############temp/mtest4postode.ode################# diff ( y2 , x , 3 ) = neg ( cos ( x ) ) ; diff ( y1 , x , 1 ) = neg ( y2 ) ; ! #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_y1_init[0 + 1] = exact_soln_y1(x_start) $array_y2_init[0 + 1] = exact_soln_y2(x_start) $array_y2_init[1 + 1] = exact_soln_y2p(x_start) $array_y2_init[2 + 1] = exact_soln_y2pp(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 #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_y2 (x) x = c(x) return(sin(c(x))) end def exact_soln_y2p (x) x = c(x) return( cos(c(x))) end def exact_soln_y2pp (x) x = c(x) return( neg( sin(c(x)))) end def exact_soln_y1 (x) x = c(x) return( cos(c(x))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.1 y2[1] (closed_form) 0.09983341664682815 y2[1] (numeric) 0.09983341664682815 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 y1[1] (closed_form) 0.9950041652780258 y1[1] (numeric) 0.9950041652780258 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 0.09933466539753058 Order of pole (three term test) 32.990033288920614 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.09933466539753058 Order of pole (three term test) 32.00996671107938 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.11000000000000001 y2[1] (closed_form) 0.10977830083717482 y2[1] (numeric) 0.10977830083717481 absolute error 1.3877787807814457e-17 relative error 1.2641649307724524e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 y1[1] (closed_form) 0.9939560979566968 y1[1] (numeric) 0.9939560979566969 absolute error 1.1102230246251565e-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 0.10911481154043466 Order of pole (three term test) 32.98794872466531 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.10911481154043466 Order of pole (three term test) 32.01205127533469 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.12000000000000002 y2[1] (closed_form) 0.11971220728891939 y2[1] (numeric) 0.11971220728891939 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 y1[1] (closed_form) 0.9928086358538663 y1[1] (numeric) 0.9928086358538663 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 0.1188513132135674 Order of pole (three term test) 32.98566898742601 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1188513132135674 Order of pole (three term test) 32.01433101257399 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.13000000000000003 y2[1] (closed_form) 0.1296341426196949 y2[1] (numeric) 0.1296341426196949 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 y1[1] (closed_form) 0.9915618937147881 y1[1] (numeric) 0.9915618937147881 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) 32.98319498906726 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.12854027594607761 Order of pole (three term test) 32.01680501093274 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.14000000000000004 y2[1] (closed_form) 0.13954311464423652 y2[1] (numeric) 0.13954311464423652 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 y1[1] (closed_form) 0.9902159962126371 y1[1] (numeric) 0.9902159962126372 absolute error 1.1102230246251565e-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 0.13817782428205688 Order of pole (three term test) 32.98052771915538 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.13817782428205685 Order of pole (three term test) 32.01947228084462 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.15000000000000005 y2[1] (closed_form) 0.14943813247359927 y2[1] (numeric) 0.14943813247359927 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 y1[1] (closed_form) 0.9887710779360422 y1[1] (numeric) 0.9887710779360421 absolute error 1.1102230246251565e-16 relative error 1.1228312087592942e-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 0.14776010333066986 Order of pole (three term test) 32.97766824456281 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.14776010333066983 Order of pole (three term test) 32.02233175543719 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.16000000000000006 y2[1] (closed_form) 0.15931820661424603 y2[1] (numeric) 0.159318206614246 absolute error 2.7755575615628914e-17 relative error 1.7421471284090544e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.9872272833756269 y1[1] (numeric) 0.9872272833756267 absolute error 2.220446049250313e-16 relative error 2.249174112832397e-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 0.15728328030805894 Order of pole (three term test) 32.97461770904122 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1572832803080589 Order of pole (three term test) 32.025382290958774 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.17000000000000007 y2[1] (closed_form) 0.16918234906699608 y2[1] (numeric) 0.16918234906699606 absolute error 2.7755575615628914e-17 relative error 1.6405715944183826e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.9855847669095607 y1[1] (numeric) 0.9855847669095603 absolute error 3.3306690738754696e-16 relative error 3.379383677285567e-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 0.16674354607040717 Order of pole (three term test) 32.97137733276417 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1667435460704072 Order of pole (three term test) 32.02862266723583 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.18000000000000008 y2[1] (closed_form) 0.17902957342582426 y2[1] (numeric) 0.1790295734258242 absolute error 5.551115123125783e-17 relative error 3.1006693569684045e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.9838436927881214 y1[1] (numeric) 0.9838436927881212 absolute error 2.220446049250313e-16 relative error 2.2569093703876637e-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 0.17613711663754505 Order of pole (three term test) 32.96794841183897 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.17613711663754505 Order of pole (three term test) 32.03205158816103 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.19000000000000009 y2[1] (closed_form) 0.18885889497650066 y2[1] (numeric) 0.18885889497650057 absolute error 8.326672684688674e-17 relative error 4.4089385812221054e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.9820042351172703 y1[1] (numeric) 0.9820042351172701 absolute error 2.220446049250313e-16 relative error 2.2611369379533774e-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 0.1854602347064914 Order of pole (three term test) 32.964332317788255 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.18546023470649142 Order of pole (three term test) 32.03566768221175 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.2000000000000001 y2[1] (closed_form) 0.1986693307950613 y2[1] (numeric) 0.19866933079506122 absolute error 8.326672684688674e-17 relative error 4.191221992526924e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.9800665778412416 y1[1] (numeric) 0.9800665778412414 absolute error 2.220446049250313e-16 relative error 2.265607357146299e-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 0.19470917115432548 Order of pole (three term test) 32.96053049700144 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.19470917115432546 Order of pole (three term test) 32.03946950299856 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.2100000000000001 y2[1] (closed_form) 0.20845989984609967 y2[1] (numeric) 0.20845989984609956 absolute error 1.1102230246251565e-16 relative error 5.325834970873556e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.9780309147241483 y1[1] (numeric) 0.978030914724148 absolute error 2.220446049250313e-16 relative error 2.2703229681411303e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2038802265297852 Order of pole (three term test) 32.95654447015615 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.20388022652978519 Order of pole (three term test) 32.04345552984385 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.2200000000000001 y2[1] (closed_form) 0.21822962308086943 y2[1] (numeric) 0.2182296230808693 absolute error 1.3877787807814457e-16 relative error 6.359259394711854e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.9758974493306055 y1[1] (numeric) 0.9758974493306055 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 0.2129697325329999 Order of pole (three term test) 32.952375831609984 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.21296973253299992 Order of pole (three term test) 32.047624168390016 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.23000000000000012 y2[1] (closed_form) 0.22797752353518852 y2[1] (numeric) 0.2279775235351884 absolute error 1.1102230246251565e-16 relative error 4.8698793083160795e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.9736663950053748 y1[1] (numeric) 0.9736663950053749 absolute error 1.1102230246251565e-16 relative error 1.1402499154949555e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22197405348275995 Order of pole (three term test) 32.948026248762766 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.22197405348275998 Order of pole (three term test) 32.051973751237234 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.24000000000000013 y2[1] (closed_form) 0.23770262642713472 y2[1] (numeric) 0.2377026264271346 absolute error 1.1102230246251565e-16 relative error 4.670638441454007e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.9713379748520296 y1[1] (numeric) 0.9713379748520296 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 0.23088958777074156 Order of pole (three term test) 32.94349746138964 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2308895877707416 Order of pole (three term test) 32.05650253861036 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.2500000000000001 y2[1] (closed_form) 0.24740395925452305 y2[1] (numeric) 0.24740395925452294 absolute error 1.1102230246251565e-16 relative error 4.487490935757365e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.9689124217106447 y1[1] (numeric) 0.9689124217106446 absolute error 1.1102230246251565e-16 relative error 1.1458445569982719e-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 0.2397127693021016 Order of pole (three term test) 32.93879128094519 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.23971276930210167 Order of pole (three term test) 32.06120871905482 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.2600000000000001 y2[1] (closed_form) 0.25708055189215523 y2[1] (numeric) 0.25708055189215506 absolute error 1.6653345369377348e-16 relative error 6.477870553336681e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.9663899781345132 y1[1] (numeric) 0.9663899781345132 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 0.24844006892186837 Order of pole (three term test) 32.93390958983882 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.24844006892186846 Order of pole (three term test) 32.06609041016118 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.27000000000000013 y2[1] (closed_form) 0.26673143668883126 y2[1] (numeric) 0.26673143668883104 absolute error 2.220446049250313e-16 relative error 8.324650730392475e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.9637708963658905 y1[1] (numeric) 0.9637708963658905 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 0.2570679958265568 Order of pole (three term test) 32.928854340681916 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2570679958265567 Order of pole (three term test) 32.071145659318084 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.28000000000000014 y2[1] (closed_form) 0.2763556485641139 y2[1] (numeric) 0.27635564856411365 absolute error 2.220446049250313e-16 relative error 8.034740960741299e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.9610554383107709 y1[1] (numeric) 0.961055438310771 absolute error 1.1102230246251565e-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) 32.92362755550671 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2655930989604418 Order of pole (three term test) 32.07637244449329 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.29000000000000015 y2[1] (closed_form) 0.2859522251048357 y2[1] (numeric) 0.2859522251048353 absolute error 3.885780586188048e-16 relative error 1.3588915367815182e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.9582438755126971 y1[1] (numeric) 0.9582438755126974 absolute error 3.3306690738754696e-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 0.27401196839593694 Order of pole (three term test) 32.918231324957596 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.27401196839593694 Order of pole (three term test) 32.081768675042404 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.30000000000000016 y2[1] (closed_form) 0.2955202066613397 y2[1] (numeric) 0.2955202066613393 absolute error 3.885780586188048e-16 relative error 1.3148950557689192e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.955336489125606 y1[1] (numeric) 0.9553364891256064 absolute error 4.440892098500626e-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) 32.91266780745484 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2823212366975178 Order of pole (three term test) 32.08733219254517 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.31000000000000016 y2[1] (closed_form) 0.30505863644344366 y2[1] (numeric) 0.30505863644344333 absolute error 3.3306690738754696e-16 relative error 1.0918127454794937e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.9523335698857134 y1[1] (numeric) 0.9523335698857137 absolute error 3.3306690738754696e-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) 32.90693922833127 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2905175802686527 Order of pole (three term test) 32.09306077166873 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.3200000000000002 y2[1] (closed_form) 0.31456656061611793 y2[1] (numeric) 0.3145665606161176 absolute error 3.3306690738754696e-16 relative error 1.0588121850434254e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.9492354180824408 y1[1] (numeric) 0.9492354180824413 absolute error 4.440892098500626e-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 0.29859772068119617 Order of pole (three term test) 32.901047878942144 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.29859772068119617 Order of pole (three term test) 32.098952121057856 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.3300000000000002 y2[1] (closed_form) 0.32404302839486854 y2[1] (numeric) 0.32404302839486826 absolute error 2.7755575615628914e-16 relative error 8.565398167371418e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.9460423435283869 y1[1] (numeric) 0.9460423435283875 absolute error 5.551115123125783e-16 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 0.3065584259867171 Order of pole (three term test) 32.89499611574868 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.30655842598671706 Order of pole (three term test) 32.10500388425131 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.3400000000000002 y2[1] (closed_form) 0.33348709214081457 y2[1] (numeric) 0.33348709214081423 absolute error 3.3306690738754696e-16 relative error 9.987400269360645e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.9427546655283462 y1[1] (numeric) 0.9427546655283467 absolute error 5.551115123125783e-16 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 0.3143965120092344 Order of pole (three term test) 32.888786359375466 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.31439651200923446 Order of pole (three term test) 32.111213640624534 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.3500000000000002 y2[1] (closed_form) 0.34289780745545156 y2[1] (numeric) 0.3428978074554511 absolute error 4.440892098500626e-16 relative error 1.2951065891774696e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.9393727128473789 y1[1] (numeric) 0.9393727128473793 absolute error 4.440892098500626e-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 0.3221088436188456 Order of pole (three term test) 32.88242109364224 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3221088436188457 Order of pole (three term test) 32.11757890635775 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.3600000000000002 y2[1] (closed_form) 0.35227423327509017 y2[1] (numeric) 0.3522742332750897 absolute error 4.440892098500626e-16 relative error 1.2606349482940306e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.9358968236779348 y1[1] (numeric) 0.9358968236779351 absolute error 3.3306690738754696e-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 0.3296923359857369 Order of pole (three term test) 32.87590286457045 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3296923359857367 Order of pole (three term test) 32.12409713542955 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.3700000000000002 y2[1] (closed_form) 0.3616154319649622 y2[1] (numeric) 0.3616154319649617 absolute error 4.996003610813204e-16 relative error 1.381579205197548e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.9323273456060344 y1[1] (numeric) 0.9323273456060348 absolute error 4.440892098500626e-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 0.3371439558140728 Order of pole (three term test) 32.8692342793648 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3371439558140728 Order of pole (three term test) 32.1307657206352 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.3800000000000002 y2[1] (closed_form) 0.3709204694129829 y2[1] (numeric) 0.3709204694129824 absolute error 4.996003610813204e-16 relative error 1.3469204378825082e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.9286646355765101 y1[1] (numeric) 0.9286646355765106 absolute error 4.440892098500626e-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 0.3444607225552759 Order of pole (three term test) 32.86241800537045 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.34446072255527593 Order of pole (three term test) 32.13758199462955 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.39000000000000024 y2[1] (closed_form) 0.38018841512316165 y2[1] (numeric) 0.38018841512316115 absolute error 4.996003610813204e-16 relative error 1.314086229901233e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.924909059857313 y1[1] (numeric) 0.9249090598573132 absolute error 2.220446049250313e-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 0.35163970960020524 Order of pole (three term test) 32.85545676900614 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.35163970960020513 Order of pole (three term test) 32.14454323099386 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.40000000000000024 y2[1] (closed_form) 0.3894183423086507 y2[1] (numeric) 0.38941834230865024 absolute error 4.440892098500626e-16 relative error 1.1403910951325455e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.921060994002885 y1[1] (numeric) 0.9210609940028852 absolute error 2.220446049250313e-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) 32.84835335467358 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3586780454497616 Order of pole (three term test) 32.151646645326416 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.41000000000000025 y2[1] (closed_form) 0.3986093279844231 y2[1] (numeric) 0.3986093279844226 absolute error 4.996003610813204e-16 relative error 1.253358428934819e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.917120822816605 y1[1] (numeric) 0.9171208228166053 absolute error 3.3306690738754696e-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 0.3655729148634482 Order of pole (three term test) 32.841110603643806 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.36557291486344823 Order of pole (three term test) 32.158889396356194 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.42000000000000026 y2[1] (closed_form) 0.4077604530595704 y2[1] (numeric) 0.4077604530595698 absolute error 6.106226635438361e-16 relative error 1.4975033968157505e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.9130889403123081 y1[1] (numeric) 0.9130889403123086 absolute error 4.440892098500626e-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 0.37232155998542976 Order of pole (three term test) 32.833731412920656 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.37232155998542976 Order of pole (three term test) 32.166268587079344 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.43000000000000027 y2[1] (closed_form) 0.416870802429211 y2[1] (numeric) 0.41687080242921043 absolute error 5.551115123125783e-16 relative error 1.331615236849892e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.908965749674885 y1[1] (numeric) 0.9089657496748855 absolute error 5.551115123125783e-16 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) 32.826218734082026 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3789212814476387 Order of pole (three term test) 32.17378126591797 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.4400000000000003 y2[1] (closed_form) 0.42593946506599983 y2[1] (numeric) 0.42593946506599933 absolute error 4.996003610813204e-16 relative error 1.172937475995343e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.9047516632199633 y1[1] (numeric) 0.9047516632199637 absolute error 4.440892098500626e-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) 32.81857557209929 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3853694394494846 Order of pole (three term test) 32.18142442790071 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.4500000000000003 y2[1] (closed_form) 0.43496553411123046 y2[1] (numeric) 0.4349655341112299 absolute error 5.551115123125783e-16 relative error 1.2762195364440617e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.9004471023526768 y1[1] (numeric) 0.9004471023526771 absolute error 3.3306690738754696e-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 0.3916634548137419 Order of pole (three term test) 32.81080498413533 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.39166345481374193 Order of pole (three term test) 32.18919501586466 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.4600000000000003 y2[1] (closed_form) 0.44394810696552 y2[1] (numeric) 0.4439481069655195 absolute error 4.996003610813204e-16 relative error 1.1253575659916549e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.8960524975255251 y1[1] (numeric) 0.8960524975255255 absolute error 4.440892098500626e-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 0.39780081001818335 Order of pole (three term test) 32.80291007832173 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.39780081001818324 Order of pole (three term test) 32.19708992167826 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.4700000000000003 y2[1] (closed_form) 0.45288628537906855 y2[1] (numeric) 0.452886285379068 absolute error 5.551115123125783e-16 relative error 1.2257194139759534e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.8915682881953289 y1[1] (numeric) 0.8915682881953292 absolute error 3.3306690738754696e-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 0.4037790502025574 Order of pole (three term test) 32.79489401251555 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.40377905020255733 Order of pole (three term test) 32.20510598748445 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.4800000000000003 y2[1] (closed_form) 0.4617791755414832 y2[1] (numeric) 0.46177917554148257 absolute error 6.106226635438361e-16 relative error 1.3223261157842788e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.886994922779284 y1[1] (numeric) 0.8869949227792844 absolute error 3.3306690738754696e-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 0.40959578415049946 Order of pole (three term test) 32.78675999303623 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4095957841504994 Order of pole (three term test) 32.21324000696377 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.4900000000000003 y2[1] (closed_form) 0.4706258881711583 y2[1] (numeric) 0.47062588817115775 absolute error 5.551115123125783e-16 relative error 1.179517587674e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.8823328586101213 y1[1] (numeric) 0.8823328586101219 absolute error 5.551115123125783e-16 relative error 6.2914070001542e-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 0.41524868524598524 Order of pole (three term test) 32.7785112733831 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4152486852459853 Order of pole (three term test) 32.22148872661689 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.5000000000000003 y2[1] (closed_form) 0.4794255386042033 y2[1] (numeric) 0.47942553860420273 absolute error 5.551115123125783e-16 relative error 1.157868047515213e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.8775825618903725 y1[1] (numeric) 0.8775825618903731 absolute error 5.551115123125783e-16 relative error 6.325461972681297e-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 0.42073549240394864 Order of pole (three term test) 32.77015115293407 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4207354924039487 Order of pole (three term test) 32.22984884706593 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.5100000000000003 y2[1] (closed_form) 0.4881772468829078 y2[1] (numeric) 0.48817724688290726 absolute error 5.551115123125783e-16 relative error 1.1371105799318932e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.8727445076457511 y1[1] (numeric) 0.8727445076457516 absolute error 5.551115123125783e-16 relative error 6.360527135369831e-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) 32.761682975625824 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.42605401097468154 Order of pole (three term test) 32.238317024374176 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.5200000000000004 y2[1] (closed_form) 0.496880137843737 y2[1] (numeric) 0.49688013784373647 absolute error 5.551115123125783e-16 relative error 1.1171940072339022e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.8678191796776498 y1[1] (numeric) 0.8678191796776501 absolute error 3.3306690738754696e-16 relative error 3.8379758731682357e-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 0.4312021136216693 Order of pole (three term test) 32.75311012861639 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.43120211362166944 Order of pole (three term test) 32.24688987138361 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.5300000000000004 y2[1] (closed_form) 0.5055333412048473 y2[1] (numeric) 0.5055333412048468 absolute error 4.440892098500626e-16 relative error 8.78456817094707e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.8628070705147608 y1[1] (numeric) 0.8628070705147614 absolute error 5.551115123125783e-16 relative error 6.433784924611156e-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 0.43617774117249336 Order of pole (three term test) 32.74443604093027 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.43617774117249336 Order of pole (three term test) 32.25556395906973 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.5400000000000004 y2[1] (closed_form) 0.5141359916531134 y2[1] (numeric) 0.514135991653113 absolute error 4.440892098500626e-16 relative error 8.637582605764911e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.8577086813638239 y1[1] (numeric) 0.8577086813638244 absolute error 4.440892098500626e-16 relative error 5.177622886408542e-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) 32.735664182086865 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4409789034424741 Order of pole (three term test) 32.264335817913135 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.5500000000000004 y2[1] (closed_form) 0.5226872289306594 y2[1] (numeric) 0.522687228930659 absolute error 4.440892098500626e-16 relative error 8.496270527952314e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.8525245220595056 y1[1] (numeric) 0.852524522059506 absolute error 4.440892098500626e-16 relative error 5.2091077541939084e-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) 32.72679806071279 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4456036800307179 Order of pole (three term test) 32.27320193928721 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.5600000000000004 y2[1] (closed_form) 0.5311861979208837 y2[1] (numeric) 0.5311861979208832 absolute error 5.551115123125783e-16 relative error 1.0450412952846678e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.8472551110134159 y1[1] (numeric) 0.8472551110134163 absolute error 4.440892098500626e-16 relative error 5.2415052335167403e-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) 32.71784122313836 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.45005022108825254 Order of pole (three term test) 32.28215877686164 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.5700000000000004 y2[1] (closed_form) 0.5396320487339695 y2[1] (numeric) 0.5396320487339691 absolute error 4.440892098500626e-16 relative error 8.229481753204616e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.8419009751622685 y1[1] (numeric) 0.841900975162269 absolute error 5.551115123125783e-16 relative error 6.59354875085619e-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) 32.70879725197918 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4543167480579417 Order of pole (three term test) 32.291202748020815 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.5800000000000004 y2[1] (closed_form) 0.5480239367918739 y2[1] (numeric) 0.5480239367918734 absolute error 4.440892098500626e-16 relative error 8.103463736452024e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.8364626499151867 y1[1] (numeric) 0.8364626499151873 absolute error 5.551115123125783e-16 relative error 6.636417207258015e-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 0.4584015543858837 Order of pole (three term test) 32.69966976470313 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.45840155438588387 Order of pole (three term test) 32.30033023529687 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.5900000000000004 y2[1] (closed_form) 0.5563610229127841 y2[1] (numeric) 0.5563610229127838 absolute error 3.3306690738754696e-16 relative error 5.986524822386038e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.8309406791001632 y1[1] (numeric) 0.8309406791001639 absolute error 6.661338147750939e-16 relative error 8.01662298560782e-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 0.4623030062040103 Order of pole (three term test) 32.69046241218345 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.46230300620401027 Order of pole (three term test) 32.30953758781656 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6000000000000004 y2[1] (closed_form) 0.5646424733950357 y2[1] (numeric) 0.5646424733950353 absolute error 4.440892098500626e-16 relative error 7.864962888460721e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.8253356149096781 y1[1] (numeric) 0.8253356149096787 absolute error 5.551115123125783e-16 relative error 6.725888260296725e-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 0.46601954298361303 Order of pole (three term test) 32.68117887723833 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.46601954298361303 Order of pole (three term test) 32.31882112276166 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6100000000000004 y2[1] (closed_form) 0.5728674601004816 y2[1] (numeric) 0.5728674601004813 absolute error 3.3306690738754696e-16 relative error 5.814030828860948e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.8196480178454792 y1[1] (numeric) 0.8196480178454798 absolute error 5.551115123125783e-16 relative error 6.772559686921958e-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) 32.67182287315803 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4695496781595338 Order of pole (three term test) 32.32817712684198 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6200000000000004 y2[1] (closed_form) 0.5810351605373054 y2[1] (numeric) 0.5810351605373052 absolute error 2.220446049250313e-16 relative error 3.8215347367222695e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.8138784566625337 y1[1] (numeric) 0.8138784566625342 absolute error 5.551115123125783e-16 relative error 6.820570169517947e-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 0.4728919997247696 Order of pole (three term test) 32.66239814221939 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.47289199972476953 Order of pole (three term test) 32.33760185778061 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6300000000000004 y2[1] (closed_form) 0.5891447579422698 y2[1] (numeric) 0.5891447579422696 absolute error 2.220446049250313e-16 relative error 3.7689311825598794e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.8080275083121516 y1[1] (numeric) 0.8080275083121521 absolute error 4.440892098500626e-16 relative error 5.4959664773999887e-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) 32.65290845418914 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.47604517079525793 Order of pole (three term test) 32.347091545810855 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6400000000000005 y2[1] (closed_form) 0.5971954413623924 y2[1] (numeric) 0.5971954413623919 absolute error 5.551115123125783e-16 relative error 9.295307262329275e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.8020957578842923 y1[1] (numeric) 0.8020957578842927 absolute error 3.3306690738754696e-16 relative error 4.1524581586877575e-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 0.47900793014461246 Order of pole (three term test) 32.64335760481597 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4790079301446126 Order of pole (three term test) 32.35664239518402 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6500000000000005 y2[1] (closed_form) 0.6051864057360399 y2[1] (numeric) 0.6051864057360393 absolute error 5.551115123125783e-16 relative error 9.172570749295673e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.7960837985490555 y1[1] (numeric) 0.7960837985490558 absolute error 2.220446049250313e-16 relative error 2.7892114539917832e-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 0.4817790927085967 Order of pole (three term test) 32.6337494143123 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4817790927085967 Order of pole (three term test) 32.36625058568771 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6600000000000005 y2[1] (closed_form) 0.6131168519734341 y2[1] (numeric) 0.6131168519734334 absolute error 7.771561172376096e-16 relative error 1.2675497578254187e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.7899922314973647 y1[1] (numeric) 0.7899922314973651 absolute error 3.3306690738754696e-16 relative error 4.216078261380448e-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 0.4843575500591327 Order of pole (three term test) 32.624087725826186 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4843575500591328 Order of pole (three term test) 32.37591227417381 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6700000000000005 y2[1] (closed_form) 0.62098598703656 y2[1] (numeric) 0.6209859870365592 absolute error 8.881784197001252e-16 relative error 1.4302712754254702e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.783821665880849 y1[1] (numeric) 0.7838216658808494 absolute error 4.440892098500626e-16 relative error 5.665691944748691e-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 0.48674227084765986 Order of pole (three term test) 32.61437640390423 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.48674227084766 Order of pole (three term test) 32.38562359609577 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6800000000000005 y2[1] (closed_form) 0.6287930240184689 y2[1] (numeric) 0.6287930240184679 absolute error 9.992007221626409e-16 relative error 1.5890773020619458e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.7775727187509276 y1[1] (numeric) 0.7775727187509281 absolute error 5.551115123125783e-16 relative error 7.139030201629178e-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) 32.60461933294572 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4889323012176583 Order of pole (three term test) 32.39538066705429 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6900000000000005 y2[1] (closed_form) 0.6365371822219683 y2[1] (numeric) 0.6365371822219672 absolute error 1.1102230246251565e-15 relative error 1.744160522955921e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.7712460149971063 y1[1] (numeric) 0.7712460149971068 absolute error 4.440892098500626e-16 relative error 5.758074611921708e-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) 32.59482041564891 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49092676518617995 Order of pole (three term test) 32.40517958435108 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7000000000000005 y2[1] (closed_form) 0.6442176872376915 y2[1] (numeric) 0.6442176872376904 absolute error 1.1102230246251565e-15 relative error 1.7233662574301955e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.764842187284488 y1[1] (numeric) 0.7648421872844888 absolute error 7.771561172376096e-16 relative error 1.0160999617409196e-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 0.4927248649942303 Order of pole (three term test) 32.584983571450124 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4927248649942302 Order of pole (three term test) 32.415016428549876 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7100000000000005 y2[1] (closed_form) 0.6518337710215371 y2[1] (numeric) 0.6518337710215361 absolute error 9.992007221626409e-16 relative error 1.5329072634526428e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.7583618759905079 y1[1] (numeric) 0.7583618759905086 absolute error 7.771561172376096e-16 relative error 1.0247826820441815e-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 0.4943258814258599 Order of pole (three term test) 32.575112734955844 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49432588142586004 Order of pole (three term test) 32.42488726504416 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7200000000000005 y2[1] (closed_form) 0.6593846719714735 y2[1] (numeric) 0.6593846719714724 absolute error 1.1102230246251565e-15 relative error 1.6837258611209986e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.7518057291408946 y1[1] (numeric) 0.7518057291408955 absolute error 8.881784197001252e-16 relative error 1.181393523982674e-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 0.4957291740958433 Order of pole (three term test) 32.56521185436907 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49572917409584333 Order of pole (three term test) 32.434788145630925 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7300000000000005 y2[1] (closed_form) 0.6668696350036982 y2[1] (numeric) 0.6668696350036971 absolute error 1.1102230246251565e-15 relative error 1.664827675980478e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.74517440234487 y1[1] (numeric) 0.745174402344871 absolute error 9.992007221626409e-16 relative error 1.3408951233676522e-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 0.4969341817058225 Order of pole (three term test) 32.555284889910034 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49693418170582243 Order of pole (three term test) 32.444715110089966 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7400000000000005 y2[1] (closed_form) 0.6742879116281455 y2[1] (numeric) 0.6742879116281443 absolute error 1.2212453270876722e-15 relative error 1.8111630151263357e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.7384685587295875 y1[1] (numeric) 0.7384685587295887 absolute error 1.2212453270876722e-15 relative error 1.6537539921653833e-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 0.4979404222688202 Order of pole (three term test) 32.54533581223215 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49794042226882007 Order of pole (three term test) 32.45466418776785 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7500000000000006 y2[1] (closed_form) 0.6816387600233346 y2[1] (numeric) 0.6816387600233332 absolute error 1.3322676295501878e-15 relative error 1.9545068556614655e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.7316888688738205 y1[1] (numeric) 0.7316888688738217 absolute error 1.2212453270876722e-15 relative error 1.6690773620314233e-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 0.4987474933020272 Order of pole (three term test) 32.53536860083385 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49874749330202733 Order of pole (three term test) 32.46463139916615 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7600000000000006 y2[1] (closed_form) 0.6889214451105518 y2[1] (numeric) 0.6889214451105504 absolute error 1.3322676295501878e-15 relative error 1.9338454899402903e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.7248360107409048 y1[1] (numeric) 0.7248360107409061 absolute error 1.3322676295501878e-15 relative error 1.8380262705054975e-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 0.4993550719877915 Order of pole (three term test) 32.52538724246679 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4993550719877916 Order of pole (three term test) 32.474612757533215 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7700000000000006 y2[1] (closed_form) 0.6961352386273572 y2[1] (numeric) 0.6961352386273557 absolute error 1.4432899320127035e-15 relative error 2.0732895735296918e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.717910669610943 y1[1] (numeric) 0.7179106696109443 absolute error 1.3322676295501878e-15 relative error 1.855756831518026e-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 0.49976291530273953 Order of pole (three term test) 32.51539572954123 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49976291530273953 Order of pole (three term test) 32.48460427045877 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7800000000000006 y2[1] (closed_form) 0.7032794192004106 y2[1] (numeric) 0.7032794192004094 absolute error 1.2212453270876722e-15 relative error 1.7365008753933962e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.710913538012277 y1[1] (numeric) 0.7109135380122783 absolute error 1.3322676295501878e-15 relative error 1.8740220270319012e-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 0.49997086011498315 Order of pole (three term test) 32.50539805852913 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49997086011498304 Order of pole (three term test) 32.49460194147086 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7900000000000006 y2[1] (closed_form) 0.7103532724176083 y2[1] (numeric) 0.710353272417607 absolute error 1.2212453270876722e-15 relative error 1.7192084199616619e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.7038453156522356 y1[1] (numeric) 0.703845315652237 absolute error 1.3322676295501878e-15 relative error 1.8928415092392982e-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 0.49997882324937004 Order of pole (three term test) 32.495398228365595 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49997882324936993 Order of pole (three term test) 32.504601771634405 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8000000000000006 y2[1] (closed_form) 0.7173560908995231 y2[1] (numeric) 0.7173560908995219 absolute error 1.2212453270876722e-15 relative error 1.702425535352047e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.6967067093471649 y1[1] (numeric) 0.6967067093471663 absolute error 1.3322676295501878e-15 relative error 1.9122359691333568e-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) 32.48540023884936 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4997868015207525 Order of pole (three term test) 32.51459976115064 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8100000000000006 y2[1] (closed_form) 0.7242871743701429 y2[1] (numeric) 0.7242871743701417 absolute error 1.2212453270876722e-15 relative error 1.6861341333977033e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.6894984329517466 y1[1] (numeric) 0.689498432951748 absolute error 1.3322676295501878e-15 relative error 1.932227204414001e-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 0.4993948717352619 Order of pole (three term test) 32.47540808904291 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49939487173526204 Order of pole (three term test) 32.524591910957085 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8200000000000006 y2[1] (closed_form) 0.7311458297268963 y2[1] (numeric) 0.7311458297268949 absolute error 1.4432899320127035e-15 relative error 1.974011029443761e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.6822212072876132 y1[1] (numeric) 0.6822212072876146 absolute error 1.4432899320127035e-15 relative error 2.115574708899714e-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 0.4988031906595868 Order of pole (three term test) 32.46542577567297 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49880319065958684 Order of pole (three term test) 32.53457422432703 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8300000000000006 y2[1] (closed_form) 0.7379313711099631 y2[1] (numeric) 0.7379313711099617 absolute error 1.4432899320127035e-15 relative error 1.9558592960233846e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.6748757600712666 y1[1] (numeric) 0.6748757600712681 absolute error 1.5543122344752192e-15 relative error 2.3031087000533024e-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 0.49801199495826837 Order of pole (three term test) 32.45545729153177 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49801199495826826 Order of pole (three term test) 32.54454270846823 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8400000000000006 y2[1] (closed_form) 0.7446431199708597 y2[1] (numeric) 0.7446431199708582 absolute error 1.5543122344752192e-15 relative error 2.0873250457696357e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.6674628258413077 y1[1] (numeric) 0.6674628258413091 absolute error 1.4432899320127035e-15 relative error 2.162352532807351e-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 0.49702160109903787 Order of pole (three term test) 32.44550662388006 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49702160109903787 Order of pole (three term test) 32.55449337611993 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8500000000000006 y2[1] (closed_form) 0.7512804051402932 y2[1] (numeric) 0.7512804051402917 absolute error 1.4432899320127035e-15 relative error 1.9211068492371839e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.6599831458849816 y1[1] (numeric) 0.6599831458849831 absolute error 1.4432899320127035e-15 relative error 2.186858772093905e-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 0.4958324052262341 Order of pole (three term test) 32.43557775285224 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49583240522623423 Order of pole (three term test) 32.56442224714776 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8600000000000007 y2[1] (closed_form) 0.7578425628952774 y2[1] (numeric) 0.757842562895276 absolute error 1.4432899320127035e-15 relative error 1.9044719875573215e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.6524374681640513 y1[1] (numeric) 0.6524374681640527 absolute error 1.3322676295501878e-15 relative error 2.041985162653469e-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 0.4944448830023507 Order of pole (three term test) 32.42567464986432 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4944448830023506 Order of pole (three term test) 32.57432535013568 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8700000000000007 y2[1] (closed_form) 0.7643289370255055 y2[1] (numeric) 0.7643289370255041 absolute error 1.4432899320127035e-15 relative error 1.8883099436604756e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.6448265472400007 y1[1] (numeric) 0.644826547240002 absolute error 1.3322676295501878e-15 relative error 2.0660868186221335e-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 0.4928595894177765 Order of pole (three term test) 32.415801276025455 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4928595894177766 Order of pole (three term test) 32.58419872397454 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8800000000000007 y2[1] (closed_form) 0.7707388788989697 y2[1] (numeric) 0.7707388788989683 absolute error 1.4432899320127035e-15 relative error 1.8726055886456627e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.6371511441985797 y1[1] (numeric) 0.637151144198581 absolute error 1.3322676295501878e-15 relative error 2.0909758095560486e-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 0.49107715856880907 Order of pole (three term test) 32.40596158055356 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.49107715856880907 Order of pole (three term test) 32.59403841944644 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8900000000000007 y2[1] (closed_form) 0.7770717475268243 y2[1] (numeric) 0.7770717475268228 absolute error 1.4432899320127035e-15 relative error 1.857344494387092e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.6294120265736963 y1[1] (numeric) 0.6294120265736975 absolute error 1.2212453270876722e-15 relative error 1.9402955068013457e-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 0.48909830340402216 Order of pole (three term test) 32.39615949919561 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4890983034040221 Order of pole (three term test) 32.60384050080439 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9000000000000007 y2[1] (closed_form) 0.7833269096274839 y2[1] (numeric) 0.7833269096274823 absolute error 1.5543122344752192e-15 relative error 1.9842446561862432e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.621609968270664 y1[1] (numeric) 0.6216099682706653 absolute error 1.3322676295501878e-15 relative error 2.1432533221058104e-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 0.4869238154390974 Order of pole (three term test) 32.38639895265345 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4869238154390974 Order of pole (three term test) 32.61360104734654 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9100000000000007 y2[1] (closed_form) 0.7895037396899508 y2[1] (numeric) 0.7895037396899494 absolute error 1.4432899320127035e-15 relative error 1.8280976510377312e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.613745749488811 y1[1] (numeric) 0.6137457494888126 absolute error 1.5543122344752192e-15 relative error 2.5325018312058475e-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 0.48455456444022804 Order of pole (three term test) 32.37668384501558 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.48455456444022815 Order of pole (three term test) 32.623316154984416 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9200000000000007 y2[1] (closed_form) 0.7956016200363665 y2[1] (numeric) 0.7956016200363649 absolute error 1.5543122344752192e-15 relative error 1.953631309101875e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.6058201566434622 y1[1] (numeric) 0.6058201566434638 absolute error 1.5543122344752192e-15 relative error 2.565633080098991e-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 0.48199149807622377 Order of pole (three term test) 32.367018062195505 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.48199149807622377 Order of pole (three term test) 32.632981937804495 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9300000000000007 y2[1] (closed_form) 0.8016199408837775 y2[1] (numeric) 0.8016199408837762 absolute error 1.3322676295501878e-15 relative error 1.6619691721757532e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.5978339822872977 y1[1] (numeric) 0.5978339822872991 absolute error 1.4432899320127035e-15 relative error 2.4141985480495986e-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 0.4792356415394569 Order of pole (three term test) 32.35740547037749 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.47923564153945686 Order of pole (three term test) 32.642594529622514 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9400000000000007 y2[1] (closed_form) 0.8075581004051147 y2[1] (numeric) 0.8075581004051134 absolute error 1.2212453270876722e-15 relative error 1.5122693048029978e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.5897880250310976 y1[1] (numeric) 0.589788025031099 absolute error 1.3322676295501878e-15 relative error 2.2588923019926383e-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 0.47628809713579723 Order of pole (three term test) 32.34784991447008 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.47628809713579745 Order of pole (three term test) 32.65215008552992 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9500000000000007 y2[1] (closed_form) 0.8134155047893742 y2[1] (numeric) 0.813415504789373 absolute error 1.2212453270876722e-15 relative error 1.5013794547768074e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.5816830894638829 y1[1] (numeric) 0.5816830894638843 absolute error 1.3322676295501878e-15 relative error 2.290366788517254e-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 0.47315004384370696 Order of pole (three term test) 32.338355216568246 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.47315004384370707 Order of pole (three term test) 32.661644783431754 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9600000000000007 y2[1] (closed_form) 0.8191915683009987 y2[1] (numeric) 0.8191915683009974 absolute error 1.3322676295501878e-15 relative error 1.6263199977916126e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.573519986072456 y1[1] (numeric) 0.5735199860724575 absolute error 1.4432899320127035e-15 relative error 2.5165468807749003e-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 0.4698227368426619 Order of pole (three term test) 32.32892517442455 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.469822736842662 Order of pole (three term test) 32.67107482557545 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9700000000000008 y2[1] (closed_form) 0.8248857133384505 y2[1] (numeric) 0.8248857133384494 absolute error 1.1102230246251565e-15 relative error 1.3459113264695764e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.5652995311603537 y1[1] (numeric) 0.565299531160355 absolute error 1.3322676295501878e-15 relative error 2.3567463903879923e-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 0.4663075070111 Order of pole (three term test) 32.31956355993012 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.46630750701109996 Order of pole (three term test) 32.680436440069876 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9800000000000008 y2[1] (closed_form) 0.8304973704919709 y2[1] (numeric) 0.8304973704919697 absolute error 1.2212453270876722e-15 relative error 1.4704987282069654e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.5570225467662167 y1[1] (numeric) 0.5570225467662182 absolute error 1.5543122344752192e-15 relative error 2.7903937524589406e-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) 32.31027411760592 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.46260576039408385 Order of pole (three term test) 32.68972588239408 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9900000000000008 y2[1] (closed_form) 0.836025978600521 y2[1] (numeric) 0.8360259786005197 absolute error 1.2212453270876722e-15 relative error 1.4607743758537207e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.548689860581587 y1[1] (numeric) 0.5486898605815885 absolute error 1.5543122344752192e-15 relative error 2.832770105916878e-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) 32.30106056310504 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4587189776409047 Order of pole (three term test) 32.69893943689496 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.0000000000000007 y2[1] (closed_form) 0.8414709848078968 y2[1] (numeric) 0.8414709848078956 absolute error 1.2212453270876722e-15 relative error 1.4513219696653898e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.5403023058681392 y1[1] (numeric) 0.5403023058681409 absolute error 1.6653345369377348e-15 relative error 3.0822273361612483e-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 0.4546487134128406 Order of pole (three term test) 32.29192658172643 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.45464871341284063 Order of pole (three term test) 32.70807341827357 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.0099999999999996 y2[1] (closed_form) 0.846831844618015 y2[1] (numeric) 0.8468318446180143 absolute error 6.661338147750939e-16 relative error 7.866187590944582e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.5318607213743558 y1[1] (numeric) 0.5318607213743567 absolute error 8.881784197001252e-16 relative error 1.6699455026590909e-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 0.45039659576131374 Order of pole (three term test) 32.28287582694085 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4503965957613139 Order of pole (three term test) 32.71712417305915 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.0199999999999985 y2[1] (closed_form) 0.8521080219493621 y2[1] (numeric) 0.8521080219493622 absolute error 1.1102230246251565e-16 relative error 1.3029134757883237e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.5233659512516509 y1[1] (numeric) 0.5233659512516508 absolute error 1.1102230246251565e-16 relative error 2.1213130544125257e-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 0.4459643254766903 Order of pole (three term test) 32.27391191892955 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.44596432547669046 Order of pole (three term test) 32.72608808107046 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.0299999999999974 y2[1] (closed_form) 0.857298989188602 y2[1] (numeric) 0.8572989891886026 absolute error 5.551115123125783e-16 relative error 6.475121507351458e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.5148188449699576 y1[1] (numeric) 0.5148188449699566 absolute error 9.992007221626409e-16 relative error 1.9408782952010035e-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) 32.26503844313619 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4413536754079882 Order of pole (three term test) 32.7349615568638 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.0399999999999963 y2[1] (closed_form) 0.8624042272433365 y2[1] (numeric) 0.8624042272433377 absolute error 1.1102230246251565e-15 relative error 1.2873580503819764e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.5062202572327816 y1[1] (numeric) 0.5062202572327795 absolute error 2.1094237467877974e-15 relative error 4.167007773096276e-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 0.4365664897537599 Order of pole (three term test) 32.25625894883283 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.43656648975376006 Order of pole (three term test) 32.74374105116718 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.0499999999999952 y2[1] (closed_form) 0.8674232255940145 y2[1] (numeric) 0.8674232255940163 absolute error 1.7763568394002505e-15 relative error 2.04785482678746e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.4975710478917312 y1[1] (numeric) 0.4975710478917282 absolute error 2.9976021664879227e-15 relative error 6.024470634272485e-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 0.4316046833244394 Order of pole (three term test) 32.247576947700075 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.43160468332443946 Order of pole (three term test) 32.75242305229993 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.059999999999994 y2[1] (closed_form) 0.8723554823449834 y2[1] (numeric) 0.8723554823449857 absolute error 2.3314683517128287e-15 relative error 2.672612712246155e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.48887208186053277 y1[1] (numeric) 0.4888720818605288 absolute error 3.9968028886505635e-15 relative error 8.175559695369936e-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 0.4264702407764413 Order of pole (three term test) 32.23899591242265 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4264702407764412 Order of pole (three term test) 32.761004087577355 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.069999999999993 y2[1] (closed_form) 0.8772005042746782 y2[1] (numeric) 0.8772005042746809 absolute error 2.6645352591003757e-15 relative error 3.037544148818716e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.4801242290285403 y1[1] (numeric) 0.48012422902853524 absolute error 5.051514762044462e-15 relative error 1.0521266073710647e-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 0.4211652158183265 Order of pole (three term test) 32.230519275300246 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4211652158183265 Order of pole (three term test) 32.769480724699754 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.0799999999999919 y2[1] (closed_form) 0.8819578068849436 y2[1] (numeric) 0.8819578068849467 absolute error 3.1086244689504383e-15 relative error 3.524686152424949e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.4713283641737472 y1[1] (numeric) 0.4713283641737411 absolute error 6.106226635438361e-15 relative error 1.2955355755308214e-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 0.4156917303893461 Order of pole (three term test) 32.2221504268747 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.41569173038934626 Order of pole (three term test) 32.7778495731253 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.0899999999999908 y2[1] (closed_form) 0.8866269144494829 y2[1] (numeric) 0.8866269144494865 absolute error 3.552713678800501e-15 relative error 4.0069995856221243e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.46248536687530906 y1[1] (numeric) 0.462485366875302 absolute error 7.049916206369744e-15 relative error 1.5243544361200244e-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) 32.21389271457379 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.41005197381069225 Order of pole (three term test) 32.78610728542621 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.0999999999999897 y2[1] (closed_form) 0.8912073600614306 y2[1] (numeric) 0.8912073600614349 absolute error 4.218847493575595e-15 relative error 4.733856207476553e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.4535961214255866 y1[1] (numeric) 0.45359612142557854 absolute error 8.049116928532385e-15 relative error 1.7745118505941325e-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 0.4042482019098012 Order of pole (three term test) 32.20574944137233 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.40424820190980126 Order of pole (three term test) 32.79425055862767 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.1099999999999886 y2[1] (closed_form) 0.8956986856800425 y2[1] (numeric) 0.8956986856800473 absolute error 4.773959005888173e-15 relative error 5.32987162112852e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.4446615167417171 y1[1] (numeric) 0.44466151674170795 absolute error 9.159339953157541e-15 relative error 2.0598454348541636e-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) 32.197723864471044 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.39828273611805015 Order of pole (three term test) 32.802276135528956 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.1199999999999875 y2[1] (closed_form) 0.9001004421764995 y2[1] (numeric) 0.9001004421765045 absolute error 4.9960036108132044e-15 relative error 5.550495674385575e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.4356824462767235 y1[1] (numeric) 0.4356824462767133 absolute error 1.0158540675320182e-14 relative error 2.3316387341591427e-12% Desired digits 8 Estimated correct digits 11 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 0.3921579625422177 Order of pole (three term test) 32.18981919399367 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.39215796254221785 Order of pole (three term test) 32.810180806006336 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.1299999999999863 y2[1] (closed_form) 0.9044121893788201 y2[1] (numeric) 0.9044121893788255 absolute error 5.440092820663267e-15 relative error 6.015059156157218e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.42665980793016967 y1[1] (numeric) 0.4266598079301584 absolute error 1.1268763699945339e-14 relative error 2.6411589492370626e-12% Desired digits 8 Estimated correct digits 11 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 0.38587633101007174 Order of pole (three term test) 32.18203859170301 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3858763310100717 Order of pole (three term test) 32.81796140829699 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.1399999999999852 y2[1] (closed_form) 0.9086334961158771 y2[1] (numeric) 0.9086334961158827 absolute error 5.662137425588298e-15 relative error 6.23148656723768e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.4175945039583715 y1[1] (numeric) 0.41759450395835923 absolute error 1.226796442210798e-14 relative error 2.9377696080336654e-12% Desired digits 8 Estimated correct digits 11 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 0.3794403540904706 Order of pole (three term test) 32.17438516973624 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3794403540904704 Order of pole (three term test) 32.82561483026375 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.1499999999999841 y2[1] (closed_form) 0.9127639402605146 y2[1] (numeric) 0.9127639402605204 absolute error 5.88418203051333e-15 relative error 6.446554000406621e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.40848744088417177 y1[1] (numeric) 0.4084874408841584 absolute error 1.3378187446733136e-14 relative error 3.2750547771495805e-12% Desired digits 8 Estimated correct digits 11 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 0.37285260608837045 Order of pole (three term test) 32.1668619893601 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.37285260608837045 Order of pole (three term test) 32.83313801063989 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.159999999999983 y2[1] (closed_form) 0.9168031087717602 y2[1] (numeric) 0.9168031087717663 absolute error 6.106226635438361e-15 relative error 6.660346782221173e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.3993395294062887 y1[1] (numeric) 0.39933952940627426 absolute error 1.4432899320127035e-14 relative error 3.6141924996969132e-12% Desired digits 8 Estimated correct digits 11 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 0.3661157220151373 Order of pole (three term test) 32.15947205974644 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3661157220151374 Order of pole (three term test) 32.84052794025356 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.169999999999982 y2[1] (closed_form) 0.9207505977361286 y2[1] (numeric) 0.9207505977361351 absolute error 6.5503158452884236e-15 relative error 7.114104363759135e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.3901516843082468 y1[1] (numeric) 0.39015168430823133 absolute error 1.5487611193520934e-14 relative error 3.96963842946905e-12% Desired digits 8 Estimated correct digits 11 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 0.35923239653457556 Order of pole (three term test) 32.15221833676856 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.35923239653457556 Order of pole (three term test) 32.84778166323144 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.1799999999999808 y2[1] (closed_form) 0.9246060124080131 y2[1] (numeric) 0.9246060124080199 absolute error 6.772360450213455e-15 relative error 7.324590538380499e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.3809248243668995 y1[1] (numeric) 0.38092482436688285 absolute error 1.6653345369377348e-14 relative error 4.371819399550911e-12% Desired digits 8 Estimated correct digits 11 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 0.3522053828851015 Order of pole (three term test) 32.14510372181895 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3522053828851017 Order of pole (three term test) 32.85489627818105 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.1899999999999797 y2[1] (closed_form) 0.9283689672491592 y2[1] (numeric) 0.9283689672491664 absolute error 7.216449660063518e-15 relative error 7.773256016351459e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.37165987226055175 y1[1] (numeric) 0.37165987226053404 absolute error 1.7708057242771247e-14 relative error 4.764586807573628e-12% Desired digits 8 Estimated correct digits 11 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) 32.13813106064873 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3450374917784828 Order of pole (three term test) 32.86186893935127 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.1999999999999786 y2[1] (closed_form) 0.9320390859672186 y2[1] (numeric) 0.9320390859672261 absolute error 7.438494264988549e-15 relative error 7.980882322407424e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.3623577544766935 y1[1] (numeric) 0.3623577544766747 absolute error 1.8818280267396403e-14 relative error 5.193287582481356e-12% Desired digits 8 Estimated correct digits 11 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 0.33773159027559113 Order of pole (three term test) 32.13130314222939 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3377315902755909 Order of pole (three term test) 32.86869685777061 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.2099999999999775 y2[1] (closed_form) 0.935616001553378 y2[1] (numeric) 0.9356160015533855 absolute error 7.549516567451064e-15 relative error 8.069033187671871e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.3530194012193514 y1[1] (numeric) 0.3530194012193315 absolute error 1.9872992140790302e-14 relative error 5.629433417015532e-12% Desired digits 8 Estimated correct digits 11 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) 32.12462269763727 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3302906006396171 Order of pole (three term test) 32.875377302362736 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.2199999999999764 y2[1] (closed_form) 0.9390993563190595 y2[1] (numeric) 0.9390993563190673 absolute error 7.771561172376096e-15 relative error 8.275547331687984e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.34364574631606915 y1[1] (numeric) 0.3436457463160482 absolute error 2.09277040141842e-14 relative error 6.08990631734341e-12% Desired digits 8 Estimated correct digits 11 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 0.32271749916720344 Order of pole (three term test) 32.11809239896113 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3227174991672034 Order of pole (three term test) 32.88190760103887 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.2299999999999753 y2[1] (closed_form) 0.9424888019316893 y2[1] (numeric) 0.9424888019316972 absolute error 7.882583474838611e-15 relative error 8.363583162667575e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.3342377271245258 y1[1] (numeric) 0.33423772712450384 absolute error 2.19824158875781e-14 relative error 6.576880496613773e-12% Desired digits 8 Estimated correct digits 11 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 0.3150153149979654 Order of pole (three term test) 32.11171485823337 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3150153149979654 Order of pole (three term test) 32.88828514176663 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.2399999999999742 y2[1] (closed_form) 0.9457839994495306 y2[1] (numeric) 0.9457839994495387 absolute error 8.104628079763643e-15 relative error 8.569216739213958e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.3247962844388006 y1[1] (numeric) 0.32479628443877745 absolute error 2.3148150063434514e-14 relative error 7.126975021722017e-12% Desired digits 8 Estimated correct digits 11 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) 32.10549262638525 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3071871289028762 Order of pole (three term test) 32.89450737361474 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.2499999999999731 y2[1] (closed_form) 0.9489846193555778 y2[1] (numeric) 0.9489846193555859 absolute error 8.104628079763643e-15 relative error 8.540315527207608e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.31532236239529415 y1[1] (numeric) 0.3153223623952698 absolute error 2.4369395390522186e-14 relative error 7.728406956425198e-12% Desired digits 8 Estimated correct digits 11 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 0.299236072052 Order of pole (three term test) 32.09942819222655 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2992360720520001 Order of pole (three term test) 32.90057180777345 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.259999999999972 y2[1] (closed_form) 0.9520903415905072 y2[1] (numeric) 0.9520903415905153 absolute error 8.104628079763643e-15 relative error 8.512456986197884e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.30581690837831593 y1[1] (numeric) 0.3058169083782904 absolute error 2.55351295663786e-14 relative error 8.349809597443822e-12% Desired digits 8 Estimated correct digits 11 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 0.2911653247620635 Order of pole (three term test) 32.093523981450076 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2911653247620635 Order of pole (three term test) 32.906476018549924 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.269999999999971 y2[1] (closed_form) 0.9551008555846836 y2[1] (numeric) 0.9551008555846918 absolute error 8.215650382226158e-15 relative error 8.601866843891359e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.2962808729253465 y1[1] (numeric) 0.29628087292531985 absolute error 2.6645352591003757e-14 relative error 8.993274634275009e-12% Desired digits 8 Estimated correct digits 11 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 0.28297811522437527 Order of pole (three term test) 32.0877823556614 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2829781152243754 Order of pole (three term test) 32.9122176443386 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.2799999999999698 y2[1] (closed_form) 0.9580158602892163 y2[1] (numeric) 0.9580158602892246 absolute error 8.326672684688674e-15 relative error 8.691581246029609e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.28671520963198444 y1[1] (numeric) 0.2867152096319566 absolute error 2.781108676686017e-14 relative error 9.699899353981713e-12% Desired digits 8 Estimated correct digits 11 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 0.2746777182135889 Order of pole (three term test) 32.08220561143431 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2746777182135888 Order of pole (three term test) 32.91779438856569 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.2899999999999687 y2[1] (closed_form) 0.960835064206064 y2[1] (numeric) 0.9608350642060723 absolute error 8.326672684688674e-15 relative error 8.666079116886711e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.27712087505658767 y1[1] (numeric) 0.2771208750565588 absolute error 2.886579864025407e-14 relative error 1.0416320544007996e-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 0.2662674537778372 Order of pole (three term test) 32.07679597939213 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2662674537778372 Order of pole (three term test) 32.92320402060787 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.2999999999999676 y2[1] (closed_form) 0.9635581854171843 y2[1] (numeric) 0.9635581854171926 absolute error 8.326672684688674e-15 relative error 8.641587825942799e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.2674988286246186 y1[1] (numeric) 0.2674988286245886 absolute error 2.9976021664879227e-14 relative error 1.1206038478375773e-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 0.25775068591075984 Order of pole (three term test) 32.07155562331555 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.25775068591075984 Order of pole (three term test) 32.92844437668445 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.3099999999999665 y2[1] (closed_form) 0.9661849516127254 y2[1] (numeric) 0.9661849516127338 absolute error 8.326672684688674e-15 relative error 8.618093948565494e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.257850032532702 y1[1] (numeric) 0.25785003253267097 absolute error 3.1030733538273125e-14 relative error 1.2034411333393039e-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 0.24913082120594832 Order of pole (three term test) 32.06648663927711 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2491308212059483 Order of pole (three term test) 32.933513360722884 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.3199999999999654 y2[1] (closed_form) 0.9687151001182567 y2[1] (numeric) 0.9687151001182649 absolute error 8.215650382226158e-15 relative error 8.480976895294836e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.24817545165240645 y1[1] (numeric) 0.24817545165237426 absolute error 3.219646771412954e-14 relative error 1.2973268508129395e-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 0.24041130749435458 Order of pole (three term test) 32.061591054802875 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.24041130749435458 Order of pole (three term test) 32.938408945197125 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.3299999999999643 y2[1] (closed_form) 0.971148377921036 y2[1] (numeric) 0.9711483779210444 absolute error 8.326672684688674e-15 relative error 8.57404787362546e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.23847605343375786 y1[1] (numeric) 0.23847605343372452 absolute error 3.3334446314370325e-14 relative error 1.397811052069835e-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 0.23159563246520418 Order of pole (three term test) 32.05687082806134 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.23159563246520415 Order of pole (three term test) 32.943129171938665 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.3399999999999632 y2[1] (closed_form) 0.973484541695311 y2[1] (numeric) 0.9734845416953191 absolute error 8.104628079763643e-15 relative error 8.325379328211557e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.22875280780849527 y1[1] (numeric) 0.2287528078084608 absolute error 3.447242491461111e-14 relative error 1.5069727556511723e-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 0.2226873222709687 Order of pole (three term test) 32.05232784708028 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.22268732227096866 Order of pole (three term test) 32.94767215291973 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.3499999999999621 y2[1] (closed_form) 0.9757233578266508 y2[1] (numeric) 0.9757233578266589 absolute error 8.104628079763643e-15 relative error 8.306276584190916e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.21900668709307855 y1[1] (numeric) 0.21900668709304297 absolute error 3.558264793923627e-14 relative error 1.6247288341526086e-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 0.21368994011694925 Order of pole (three term test) 32.047963928991486 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.21368994011694933 Order of pole (three term test) 32.952036071008514 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.359999999999961 y2[1] (closed_form) 0.977864602435308 y2[1] (numeric) 0.977864602435316 absolute error 7.993605777301127e-15 relative error 8.1745527523888e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.20923866589145748 y1[1] (numeric) 0.20923866589142073 absolute error 3.674838211509268e-14 relative error 1.7562902133086575e-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 0.20460708483604437 Order of pole (three term test) 32.04378081930404 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.20460708483604437 Order of pole (three term test) 32.95621918069597 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.36999999999996 y2[1] (closed_form) 0.9799080613986062 y2[1] (numeric) 0.9799080613986141 absolute error 7.882583474838611e-15 relative error 8.044207191833827e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.19944972099761224 y1[1] (numeric) 0.19944972099757438 absolute error 3.785860513971784e-14 relative error 1.8981528252010476e-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) 32.03978019120603 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1954423894492631 Order of pole (three term test) 32.96021980879398 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.3799999999999588 y2[1] (closed_form) 0.9818535303723519 y2[1] (numeric) 0.9818535303723596 absolute error 7.66053886991358e-15 relative error 7.802119799893622e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.1896408312978748 y1[1] (numeric) 0.1896408312978358 absolute error 3.8996583739958623e-14 relative error 2.056339000049281e-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 0.186199519712566 Order of pole (three term test) 32.03596364489536 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.18619951971256601 Order of pole (three term test) 32.96403635510465 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.3899999999999577 y2[1] (closed_form) 0.9837008148112689 y2[1] (numeric) 0.9837008148112765 absolute error 7.549516567451064e-15 relative error 7.674606398389028e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.17981297767304108 y1[1] (numeric) 0.17981297767300092 absolute error 4.016231791581504e-14 relative error 2.233560582531662e-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 0.17688217265061107 Order of pole (three term test) 32.03233270693964 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.17688217265061107 Order of pole (three term test) 32.96766729306035 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.3999999999999566 y2[1] (closed_form) 0.9854497299884528 y2[1] (numeric) 0.9854497299884601 absolute error 7.327471962526033e-15 relative error 7.435662864925534e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.1699671429002837 y1[1] (numeric) 0.1699671429002424 absolute error 4.1300296516055823e-14 relative error 2.4298988505258265e-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) 32.02888882966568 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.16749407507799338 Order of pole (three term test) 32.97111117033432 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.4099999999999555 y2[1] (closed_form) 0.9871001010138433 y2[1] (numeric) 0.9871001010138504 absolute error 7.105427357601002e-15 relative error 7.198284500531476e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.16010431155487512 y1[1] (numeric) 0.16010431155483265 absolute error 4.246603069191224e-14 relative error 2.652397694946346e-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 0.15803898210856915 Order of pole (three term test) 32.025633390578456 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1580389821085691 Order of pole (three term test) 32.974366609421544 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.4199999999999544 y2[1] (closed_form) 0.988651762851713 y2[1] (numeric) 0.9886517628517199 absolute error 6.8833827526759706e-15 relative error 6.962393646900727e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.15022546991173086 y1[1] (numeric) 0.15022546991168725 absolute error 4.360400929215302e-14 relative error 2.902571003290838e-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 0.14852067565345975 Order of pole (three term test) 32.022567691810195 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.14852067565345975 Order of pole (three term test) 32.977432308189805 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.4299999999999533 y2[1] (closed_form) 0.9901045603371712 y2[1] (numeric) 0.9901045603371776 absolute error 6.439293542825908e-15 relative error 6.503650019178847e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.1403316058467829 y1[1] (numeric) 0.14033160584673815 absolute error 4.474198789239381e-14 relative error 3.1883044181254566e-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 0.13894296290833819 Order of pole (three term test) 32.01969295959954 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1389429629083382 Order of pole (three term test) 32.98030704040046 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.4399999999999522 y2[1] (closed_form) 0.9914583481916802 y2[1] (numeric) 0.9914583481916864 absolute error 6.217248937900877e-15 relative error 6.270812030823595e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.13042370873819287 y1[1] (numeric) 0.13042370873814696 absolute error 4.590772206825022e-14 relative error 3.5198908628187745e-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) 32.017010343801026 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.12930967483060143 Order of pole (three term test) 32.982989656198974 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.449999999999951 y2[1] (closed_form) 0.9927129910375826 y2[1] (numeric) 0.9927129910375885 absolute error 5.88418203051333e-15 relative error 5.927374864272893e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.12050276936741511 y1[1] (numeric) 0.12050276936736806 absolute error 4.704570066849101e-14 relative error 3.904117798741025e-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 0.11962466460703852 Order of pole (three term test) 32.01452091742522 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.11962466460703851 Order of pole (three term test) 32.985479082574784 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.45999999999995 y2[1] (closed_form) 0.9938683634116393 y2[1] (numeric) 0.9938683634116448 absolute error 5.440092820663267e-15 relative error 5.473655285685048e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.11056977982011924 y1[1] (numeric) 0.11056977982007105 absolute error 4.819755705653961e-14 relative error 4.359017186698747e-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 0.1098918061126072 Order of pole (three term test) 32.012225676209475 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.10989180611260722 Order of pole (three term test) 32.98777432379053 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.469999999999949 y2[1] (closed_form) 0.9949243497775757 y2[1] (numeric) 0.9949243497775808 absolute error 5.10702591327572e-15 relative error 5.133079630041663e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.10062573338698254 y1[1] (numeric) 0.10062573338693319 absolute error 4.934941344458821e-14 relative error 4.9042537911055166e-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 0.10011499236093532 Order of pole (three term test) 32.01012553821967 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1001149923609353 Order of pole (three term test) 32.98987446178033 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.4799999999999478 y2[1] (closed_form) 0.9958808445376354 y2[1] (numeric) 0.9958808445376399 absolute error 4.551914400963142e-15 relative error 4.570741997830565e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.09067162446436164 y1[1] (numeric) 0.09067162446431115 absolute error 5.0487392044828994e-14 relative error 5.568157882146801e-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 0.09029813394716772 Order of pole (three term test) 32.00822134348301 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.09029813394716771 Order of pole (three term test) 32.991778656517 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.4899999999999467 y2[1] (closed_form) 0.9967377520431391 y2[1] (numeric) 0.9967377520431431 absolute error 3.9968028886505635e-15 relative error 4.0098841249444125e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.08070844845485374 y1[1] (numeric) 0.08070844845480209 absolute error 5.165312622068541e-14 relative error 6.399965209290185e-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) 32.006513853651995 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.08044515748378046 Order of pole (three term test) 32.99348614634801 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.4999999999999456 y2[1] (closed_form) 0.9974949866040506 y2[1] (numeric) 0.9974949866040542 absolute error 3.6637359812630166e-15 relative error 3.6729367369916553e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.07073720166775717 y1[1] (numeric) 0.0707372016677044 absolute error 5.2763349245310565e-14 relative error 7.459066516814264e-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 0.07056000402998742 Order of pole (three term test) 32.00500375169979 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.07056000402998741 Order of pole (three term test) 32.99499624830021 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.5099999999999445 y2[1] (closed_form) 0.9981524724975448 y2[1] (numeric) 0.998152472497548 absolute error 3.219646771412954e-15 relative error 3.2256061675195356e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.060758881219441306 y1[1] (numeric) 0.060758881219387384 absolute error 5.392214452726307e-14 relative error 8.874775743897231e-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 0.060646627515369936 Order of pole (three term test) 32.00369164164704 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.060646627515369936 Order of pole (three term test) 32.99630835835296 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.5199999999999434 y2[1] (closed_form) 0.9987101439755801 y2[1] (numeric) 0.9987101439755828 absolute error 2.6645352591003757e-15 relative error 2.6679765647454237e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.050774484933635726 y1[1] (numeric) 0.05077448493358068 absolute error 5.504624533969604e-14 relative error 1.0841320283532897e-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 0.05070899315835727 Order of pole (three term test) 32.00257804832028 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.05070899315835727 Order of pole (three term test) 32.99742195167972 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.5299999999999423 y2[1] (closed_form) 0.9991679452714737 y2[1] (numeric) 0.9991679452714759 absolute error 2.220446049250313e-15 relative error 2.222295120413434e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.04078501124164872 y1[1] (numeric) 0.04078501124159254 absolute error 5.617728504603292e-14 relative error 1.3774002589624388e-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 0.0407510758801921 Order of pole (three term test) 32.001663417141984 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.040751075880192084 Order of pole (three term test) 32.998336582858016 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.5399999999999412 y2[1] (closed_form) 0.9995258306054773 y2[1] (numeric) 0.9995258306054788 absolute error 1.5543122344752192e-15 relative error 1.5550495913984254e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.030791459082524935 y1[1] (numeric) 0.030791459082467647 absolute error 5.728750807065808e-14 relative error 1.8604999495840855e-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 0.030776858715015305 Order of pole (three term test) 32.00094811395243 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.0307768587150153 Order of pole (three term test) 32.99905188604757 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.54999999999994 y2[1] (closed_form) 0.9997837641893558 y2[1] (numeric) 0.9997837641893567 absolute error 8.881784197001252e-16 relative error 8.883705172190686e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.02079482780315237 y1[1] (numeric) 0.020794827803093968 absolute error 5.840120054223519e-14 relative error 2.808448384140114e-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 0.02079033121670514 Order of pole (three term test) 32.00043242486336 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.02079033121670514 Order of pole (three term test) 32.99956757513663 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.559999999999939 y2[1] (closed_form) 0.9999417202299656 y2[1] (numeric) 0.9999417202299661 absolute error 4.440892098500626e-16 relative error 4.4411509277553834e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.01079611705832845 y1[1] (numeric) 0.010796117058268941 absolute error 5.950968884338437e-14 relative error 5.512138162440245e-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) 32.00011655614354 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.010795487863109025 Order of pole (three term test) 32.99988344385647 NO COMPLEX POLE (six term test) for Equation 2 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] 1.5699895045689023 y2[1] (closed_form) 0.9999996745189654 y2[1] (numeric) 0.9999996745189652 absolute error 2.220446049250313e-16 relative error 2.2204467719636256e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.00016136362663221634 y1[1] (closed_form) 0.0008068221384592121 y1[1] (numeric) 0.000806822138399817 absolute error 5.939508867375265e-14 relative error 7.36160869199492e-09% Desired digits 8 Estimated correct digits 9 Correct digits 11 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.5799940494200997 y2[1] (closed_form) 0.9999577012474556 y2[1] (numeric) 0.9999577012474549 absolute error 7.771561172376096e-16 relative error 7.771889913624355e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.00016136362663221634 y1[1] (closed_form) -0.009197592940772936 y1[1] (numeric) -0.009197592940832344 absolute error 5.940734015830174e-14 relative error 6.459009497468512e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.589998594271297 y2[1] (closed_form) 0.9998156421267984 y2[1] (numeric) 0.9998156421267969 absolute error 1.5543122344752192e-15 relative error 1.554598837010492e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 y1[1] (closed_form) -0.019201087432165777 y1[1] (numeric) -0.01920108743222518 absolute error 5.940387071134978e-14 relative error 3.093776377052274e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.6000031391224945 y2[1] (closed_form) 0.9995735113757029 y2[1] (numeric) 0.9995735113757003 absolute error 2.6645352591003757e-15 relative error 2.665672137943314e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 y1[1] (closed_form) -0.029202660085127046 y1[1] (numeric) -0.029202660085186457 absolute error 5.941080960525369e-14 relative error 2.034431433029339e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.6100076839736919 y2[1] (closed_form) 0.9992313332290561 y2[1] (numeric) 0.9992313332290528 absolute error 3.3306690738754696e-15 relative error 3.333231217952583e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 y1[1] (closed_form) -0.03920130984142145 y1[1] (numeric) -0.03920130984148084 absolute error 5.938999292354197e-14 relative error 1.5150002171812243e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.6200122288248893 y2[1] (closed_form) 0.9987891419354968 y2[1] (numeric) 0.9987891419354932 absolute error 3.6637359812630166e-15 relative error 3.668177623720729e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 y1[1] (closed_form) -0.04919603593536666 y1[1] (numeric) -0.04919603593542604 absolute error 5.938305402963806e-14 relative error 1.2070698970066414e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.6300167736760867 y2[1] (closed_form) 0.9982469817539885 y2[1] (numeric) 0.9982469817539841 absolute error 4.440892098500626e-15 relative error 4.448690734529118e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 y1[1] (closed_form) -0.05918583799400004 y1[1] (numeric) -0.059185837994059416 absolute error 5.937611513573415e-14 relative error 1.0032149099883219e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.640021318527284 y2[1] (closed_form) 0.9976049069493886 y2[1] (numeric) 0.9976049069493835 absolute error 5.10702591327572e-15 relative error 5.119287082190359e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 y1[1] (closed_form) -0.06916971613720606 y1[1] (numeric) -0.0691697161372654 absolute error 5.934142066621462e-14 relative error 8.579104264141277e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.6500258633784814 y2[1] (closed_form) 0.9968629817870174 y2[1] (numeric) 0.9968629817870118 absolute error 5.551115123125783e-15 relative error 5.568583872153249e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 y1[1] (closed_form) -0.07914667107779436 y1[1] (numeric) -0.07914667107785375 absolute error 5.939693181744587e-14 relative error 7.504665832257659e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.6600304082296788 y2[1] (closed_form) 0.996021280526226 y2[1] (numeric) 0.9960212805262197 absolute error 6.217248937900877e-15 relative error 6.242084440822519e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 y1[1] (closed_form) -0.08911570422151852 y1[1] (numeric) -0.08911570422157793 absolute error 5.941080960525369e-14 relative error 6.666704833255184e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.6700349530808762 y2[1] (closed_form) 0.995079887412963 y2[1] (numeric) 0.9950798874129559 absolute error 7.105427357601002e-15 relative error 7.14055971533491e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 y1[1] (closed_form) -0.09907581776702541 y1[1] (numeric) -0.09907581776708477 absolute error 5.935529845402243e-14 relative error 5.990896647817241e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.6800394979320736 y2[1] (closed_form) 0.9940388966713434 y2[1] (numeric) 0.9940388966713354 absolute error 7.993605777301127e-15 relative error 8.041542241524612e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 y1[1] (closed_form) -0.10902601480572525 y1[1] (numeric) -0.10902601480578455 absolute error 5.929978730279117e-14 relative error 5.439049332258743e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.690044042783271 y2[1] (closed_form) 0.9928984124942167 y2[1] (numeric) 0.9928984124942083 absolute error 8.43769498715119e-15 relative error 8.498044594466844e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 y1[1] (closed_form) -0.11896529942157223 y1[1] (numeric) -0.11896529942163149 absolute error 5.925815393936773e-14 relative error 4.9811293064019576e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.7000485876344684 y2[1] (closed_form) 0.9916585490327385 y2[1] (numeric) 0.9916585490327294 absolute error 9.103828801926284e-15 relative error 9.180406714393917e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 y1[1] (closed_form) -0.12889267679074584 y1[1] (numeric) -0.128892676790805 absolute error 5.914713163690521e-14 relative error 4.5888667308018714e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.7100531324856658 y2[1] (closed_form) 0.9903194303849456 y2[1] (numeric) 0.9903194303849356 absolute error 9.992007221626409e-15 relative error 1.008968108173181e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.13880715328122287 y1[1] (numeric) -0.13880715328128207 absolute error 5.920264278813647e-14 relative error 4.265100276798567e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.7200576773368632 y2[1] (closed_form) 0.9888811905833342 y2[1] (numeric) 0.9888811905833236 absolute error 1.0658141036401503e-14 relative error 1.077797933451878e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.14870773655223019 y1[1] (numeric) -0.14870773655228928 absolute error 5.909162048567396e-14 relative error 3.973674931493519e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.7300622221880606 y2[1] (closed_form) 0.9873439735814452 y2[1] (numeric) 0.9873439735814336 absolute error 1.1657341758564144e-14 relative error 1.1806768533036008e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.15859343565356804 y1[1] (numeric) -0.15859343565362716 absolute error 5.911937606128959e-14 relative error 3.727731593533929e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.740066767039258 y2[1] (closed_form) 0.9857079332394557 y2[1] (numeric) 0.9857079332394434 absolute error 1.2323475573339238e-14 relative error 1.250215723925347e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.16846326112479457 y1[1] (numeric) -0.16846326112485352 absolute error 5.895284260759581e-14 relative error 3.49944802290896e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.7500713118904554 y2[1] (closed_form) 0.9839732333087791 y2[1] (numeric) 0.9839732333087664 absolute error 1.2656542480726785e-14 relative error 1.286268980932234e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.17831622509426076 y1[1] (numeric) -0.1783162250943195 absolute error 5.873079800267078e-14 relative error 3.293631747286303e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.7600758567416528 y2[1] (closed_form) 0.982140047415675 y2[1] (numeric) 0.982140047415662 absolute error 1.2989609388114332e-14 relative error 1.322582194086694e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.1881513413779868 y1[1] (numeric) -0.1881513413780452 absolute error 5.839773109528323e-14 relative error 3.103763739742097e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.7700804015928502 y2[1] (closed_form) 0.9802085590438714 y2[1] (numeric) 0.9802085590438576 absolute error 1.3766765505351941e-14 relative error 1.4044730969071022e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.19796762557836917 y1[1] (numeric) -0.19796762557842748 absolute error 5.831446436843635e-14 relative error 2.945656604107295e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.7800849464440476 y2[1] (closed_form) 0.9781789615161993 y2[1] (numeric) 0.9781789615161856 absolute error 1.3766765505351941e-14 relative error 1.4073872008055811e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.2077640951827091 y1[1] (numeric) -0.2077640951827673 absolute error 5.820344206597383e-14 relative error 2.8014196589063833e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.790089491295245 y2[1] (closed_form) 0.9760514579752436 y2[1] (numeric) 0.9760514579752291 absolute error 1.454392162258955e-14 relative error 1.4900773421065306e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.21753976966155247 y1[1] (numeric) -0.21753976966161062 absolute error 5.814793091474257e-14 relative error 2.6729793363856593e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8000940361464424 y2[1] (closed_form) 0.9738262613630098 y2[1] (numeric) 0.9738262613629941 absolute error 1.5654144647214707e-14 relative error 1.6074884472004773e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.22729367056683092 y1[1] (numeric) -0.22729367056688887 absolute error 5.795364188543317e-14 relative error 2.5497252845143844e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8100985809976398 y2[1] (closed_form) 0.971503594399611 y2[1] (numeric) 0.9715035943995949 absolute error 1.609823385706477e-14 relative error 1.657043159682129e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.2370248216297949 y1[1] (numeric) -0.23702482162985264 absolute error 5.773159728050814e-14 relative error 2.4356772798537595e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8201031258488372 y2[1] (closed_form) 0.9690836895609762 y2[1] (numeric) 0.9690836895609595 absolute error 1.6764367671839864e-14 relative error 1.7299194953363235e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.24673224885872846 y1[1] (numeric) -0.246732248858786 absolute error 5.753730825119874e-14 relative error 2.331973567190355e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8301076707000346 y2[1] (closed_form) 0.966566789055581 y2[1] (numeric) 0.9665667890555639 absolute error 1.709743457922741e-14 relative error 1.7688828928141712e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.25641498063643614 y1[1] (numeric) -0.2564149806364935 absolute error 5.734301922188934e-14 relative error 2.2363365463110147e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.840112215551232 y2[1] (closed_form) 0.9639531448002056 y2[1] (numeric) 0.963953144800188 absolute error 1.7541523789077473e-14 relative error 1.819748592937391e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.2660720478174923 y1[1] (numeric) -0.26607204781754945 absolute error 5.717648576819556e-14 relative error 2.1489099000513888e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8501167604024293 y2[1] (closed_form) 0.9612430183947198 y2[1] (numeric) 0.9612430183947014 absolute error 1.84297022087776e-14 relative error 1.9172781342594596e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.2757024838252428 y1[1] (numeric) -0.2757024838252998 absolute error 5.700995231450179e-14 relative error 2.0678069897490732e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8601213052536267 y2[1] (closed_form) 0.9584366810959003 y2[1] (numeric) 0.9584366810958813 absolute error 1.8984813721090177e-14 relative error 1.9808104275999193e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.28530532474854997 y1[1] (numeric) -0.2853053247486068 absolute error 5.684341886080802e-14 relative error 1.9923714676866336e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8701258501048241 y2[1] (closed_form) 0.9555344137902795 y2[1] (numeric) 0.9555344137902597 absolute error 1.9761969838327786e-14 relative error 2.0681588808443627e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.29487960943827035 y1[1] (numeric) -0.294879609438327 absolute error 5.6621374255882984e-14 relative error 1.9201522398833758e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8801303949560215 y2[1] (closed_form) 0.9525365069660326 y2[1] (numeric) 0.9525365069660122 absolute error 2.042810365310288e-14 relative error 2.144600600996319e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.30442437960345625 y1[1] (numeric) -0.30442437960351276 absolute error 5.651035195342047e-14 relative error 1.856301785915798e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.890134939807219 y2[1] (closed_form) 0.9494432606839021 y2[1] (numeric) 0.949443260683881 absolute error 2.1094237467877974e-14 relative error 2.221748085576319e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.3139386799072712 y1[1] (numeric) -0.3139386799073276 absolute error 5.639932965095795e-14 relative error 1.7965078297333974e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9001394846584163 y2[1] (closed_form) 0.9462549845471642 y2[1] (numeric) 0.9462549845471426 absolute error 2.1538326677728037e-14 relative error 2.2761652017120236e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.32342155806260975 y1[1] (numeric) -0.3234215580626659 absolute error 5.617728504603292e-14 relative error 1.736967856519874e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9101440295096137 y2[1] (closed_form) 0.9429719976706418 y2[1] (numeric) 0.9429719976706196 absolute error 2.220446049250313e-14 relative error 2.3547316937674996e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.33287206492741184 y1[1] (numeric) -0.33287206492746774 absolute error 5.589972928987663e-14 relative error 1.6793157245582167e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9199872107341789 y2[1] (closed_form) 0.9396498494513172 y2[1] (numeric) 0.9396498494512945 absolute error 2.275957200481571e-14 relative error 2.4221333104140373e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.3421376337471761 y1[1] (numeric) -0.3421376337472319 absolute error 5.5788706987414116e-14 relative error 1.6305925301581818e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9299917555853763 y2[1] (closed_form) 0.936179950434015 y2[1] (numeric) 0.9361799504339915 absolute error 2.353672812205332e-14 relative error 2.514124353030808e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.3515211236972327 y1[1] (numeric) -0.3515211236972882 absolute error 5.551115123125783e-14 relative error 1.579169713825503e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9399963004365737 y2[1] (closed_form) 0.9326163490879271 y2[1] (numeric) 0.9326163490879027 absolute error 2.4424906541753444e-14 relative error 2.6189661553371142e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.3608694298689009 y1[1] (numeric) -0.3608694298689562 absolute error 5.5289106626332796e-14 relative error 1.5321083486184627e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.950000845287771 y2[1] (closed_form) 0.9289594020942076 y2[1] (numeric) 0.9289594020941824 absolute error 2.5202062658991053e-14 relative error 2.712934774348219e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.3701816165894416 y1[1] (numeric) -0.3701816165894967 absolute error 5.512257317263902e-14 relative error 1.4890683573240207e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9600053901389685 y2[1] (closed_form) 0.9252094754769838 y2[1] (numeric) 0.9252094754769579 absolute error 2.5979218776228663e-14 relative error 2.8079283086498115e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.37945675180131455 y1[1] (numeric) -0.3794567518013691 absolute error 5.4567461660326444e-14 relative error 1.4380416582730418e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9700099349901659 y2[1] (closed_form) 0.9213669445667216 y2[1] (numeric) 0.921366944566695 absolute error 2.6645352591003757e-14 relative error 2.8919371101959702e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.38869390715546814 y1[1] (numeric) -0.38869390715552254 absolute error 5.440092820663267e-14 relative error 1.3995827360595497e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9800144798413633 y2[1] (closed_form) 0.9174321939626581 y2[1] (numeric) 0.917432193962631 absolute error 2.708944180085382e-14 relative error 2.9527459336091742e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.3978921581042578 y1[1] (numeric) -0.397892158104312 absolute error 5.417888360170764e-14 relative error 1.3616474338132444e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9900190246925606 y2[1] (closed_form) 0.913405617494307 y2[1] (numeric) 0.9134056174942793 absolute error 2.7755575615628914e-14 relative error 3.038691144879225e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.4070505839939842 y1[1] (numeric) -0.40705058399403815 absolute error 5.395683899678261e-14 relative error 1.3255561131335962e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.000023569543758 y2[1] (closed_form) 0.9092876181820408 y2[1] (numeric) 0.9092876181820121 absolute error 2.8754776337791554e-14 relative error 3.162341129782634e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.4161682681570414 y1[1] (numeric) -0.4161682681570952 absolute error 5.3790305543088834e-14 relative error 1.2925133812170184e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.0100281143949554 y2[1] (closed_form) 0.9050786081967517 y2[1] (numeric) 0.9050786081967217 absolute error 2.9976021664879227e-14 relative error 3.311979909082422e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.42524429800366625 y1[1] (numeric) -0.42524429800371977 absolute error 5.3512749786932545e-14 relative error 1.2584001722809975e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.020032659246153 y2[1] (closed_form) 0.9007790088185976 y2[1] (numeric) 0.9007790088185669 absolute error 3.0753177782116836e-14 relative error 3.414064657484712e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.4342777651132796 y1[1] (numeric) -0.43427776511333305 absolute error 5.345723863570129e-14 relative error 1.2309457893096872e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.0300372040973502 y2[1] (closed_form) 0.8963892503948366 y2[1] (numeric) 0.8963892503948057 absolute error 3.097522238704187e-14 relative error 3.4555548689810895e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.4432677653254102 y1[1] (numeric) -0.44326776532546336 absolute error 5.3179682879545e-14 relative error 1.1997191548657935e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.0400417489485476 y2[1] (closed_form) 0.891909772296753 y2[1] (numeric) 0.8919097722967213 absolute error 3.164135620181696e-14 relative error 3.547596089270044e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.4522133988301921 y1[1] (numeric) -0.4522133988302451 absolute error 5.295763827461997e-14 relative error 1.1710762753074852e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.050046293799745 y2[1] (closed_form) 0.8873410228756804 y2[1] (numeric) 0.8873410228756476 absolute error 3.275157922644212e-14 relative error 3.690979948194137e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.46111377025842687 y1[1] (numeric) -0.46111377025847966 absolute error 5.2791104820926193e-14 relative error 1.1448607312538057e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.0600508386509424 y2[1] (closed_form) 0.882683459418127 y2[1] (numeric) 0.8826834594180935 absolute error 3.352873534367973e-14 relative error 3.798500468761721e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.46996798877120105 y1[1] (numeric) -0.46996798877125356 absolute error 5.2513549064769904e-14 relative error 1.1173856585865377e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.07005538350214 y2[1] (closed_form) 0.8779375481000051 y2[1] (numeric) 0.8779375480999707 absolute error 3.441691376337985e-14 relative error 3.9202006837346765e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.4787751681490502 y1[1] (numeric) -0.4787751681491025 absolute error 5.229150445984487e-14 relative error 1.0921933286975675e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.080059928353337 y2[1] (closed_form) 0.8731037639399716 y2[1] (numeric) 0.8731037639399364 absolute error 3.519406988061746e-14 relative error 4.030914919184469e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.48753442688066084 y1[1] (numeric) -0.487534426880713 absolute error 5.218048215738236e-14 relative error 1.0702932814661548e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.0900644732045346 y2[1] (closed_form) 0.8681825907518834 y2[1] (numeric) 0.8681825907518481 absolute error 3.530509218307998e-14 relative error 4.066551501856798e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.496244888251101 y1[1] (numeric) -0.49624488825115287 absolute error 5.184741524999481e-14 relative error 1.0447949485730502e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.100069018055732 y2[1] (closed_form) 0.8631745210963726 y2[1] (numeric) 0.8631745210963364 absolute error 3.6193270602780103e-14 relative error 4.193042046330184e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.5049056804295707 y1[1] (numeric) -0.5049056804296221 absolute error 5.140332604014475e-14 relative error 1.0180777922009335e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.1100735629069294 y2[1] (closed_form) 0.8580800562315459 y2[1] (numeric) 0.8580800562315087 absolute error 3.7192471324942744e-14 relative error 4.334382445419132e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.5135159365566633 y1[1] (numeric) -0.5135159365567143 absolute error 5.10702591327572e-14 relative error 9.945214061944097e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.1200781077581268 y2[1] (closed_form) 0.8528997060628135 y2[1] (numeric) 0.8528997060627757 absolute error 3.785860513971784e-14 relative error 4.438810902454417e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.5220747948311297 y1[1] (numeric) -0.52207479483118 absolute error 5.029310301551959e-14 relative error 9.633313753786447e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.130082652609324 y2[1] (closed_form) 0.8476339890918531 y2[1] (numeric) 0.8476339890918144 absolute error 3.863576125695545e-14 relative error 4.558071261199593e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.5305813985961365 y1[1] (numeric) -0.5305813985961864 absolute error 4.984901380566953e-14 relative error 9.395168005807377e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.1400871974605216 y2[1] (closed_form) 0.8422834323647123 y2[1] (numeric) 0.8422834323646727 absolute error 3.952393967665557e-14 relative error 4.692475021821579e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.5390348964250081 y1[1] (numeric) -0.5390348964250578 absolute error 4.96269692007445e-14 relative error 9.20663384316691e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.150091742311719 y2[1] (closed_form) 0.8368485714190571 y2[1] (numeric) 0.8368485714190165 absolute error 4.063416270128073e-14 relative error 4.855617143777488e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.5474344422064467 y1[1] (numeric) -0.547434442206496 absolute error 4.929390229335695e-14 relative error 9.00453067853692e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.1600962871629164 y2[1] (closed_form) 0.8313299502305698 y2[1] (numeric) 0.8313299502305284 absolute error 4.141131881851834e-14 relative error 4.981333681895244e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.5557791952292189 y1[1] (numeric) -0.555779195229268 absolute error 4.907185768843192e-14 relative error 8.829380104484355e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.1701008320141137 y2[1] (closed_form) 0.8257281211585024 y2[1] (numeric) 0.8257281211584608 absolute error 4.1522341120980855e-14 relative error 5.0285729717821304e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.5640683202663039 y1[1] (numeric) -0.5640683202663526 absolute error 4.8627768478581856e-14 relative error 8.620900470996857e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.180105376865311 y2[1] (closed_form) 0.8200436448903906 y2[1] (numeric) 0.8200436448903482 absolute error 4.241051954068098e-14 relative error 5.171739309844867e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.5723009876584899 y1[1] (numeric) -0.5723009876585382 absolute error 4.829470157119431e-14 relative error 8.438689188496262e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.1901099217165085 y2[1] (closed_form) 0.8142770903859349 y2[1] (numeric) 0.8142770903858918 absolute error 4.3076653355456074e-14 relative error 5.290171351258263e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.5804763733974158 y1[1] (numeric) -0.5804763733974634 absolute error 4.7628567756419216e-14 relative error 8.205082917958993e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.200114466567706 y2[1] (closed_form) 0.8084290348200535 y2[1] (numeric) 0.8084290348200094 absolute error 4.4075854077618715e-14 relative error 5.452037492373028e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.5885936592080455 y1[1] (numeric) -0.5885936592080929 absolute error 4.7406523151494184e-14 relative error 8.05420214945567e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.2101190114189033 y2[1] (closed_form) 0.8025000635251122 y2[1] (numeric) 0.8025000635250672 absolute error 4.496403249731884e-14 relative error 5.602994260188218e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.5966520326305701 y1[1] (numeric) -0.5966520326306172 absolute error 4.707345624410664e-14 relative error 7.889599577255303e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.2201235562701007 y2[1] (closed_form) 0.7964907699323391 y2[1] (numeric) 0.7964907699322933 absolute error 4.5852210917018965e-14 relative error 5.756778690720302e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.6046506871017262 y1[1] (numeric) -0.6046506871017729 absolute error 4.674038933671909e-14 relative error 7.730147394814009e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.230128101121298 y2[1] (closed_form) 0.7904017555124278 y2[1] (numeric) 0.7904017555123815 absolute error 4.629630012686903e-14 relative error 5.857312411566512e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.6125888220355252 y1[1] (numeric) -0.6125888220355712 absolute error 4.596323321948148e-14 relative error 7.50311327372147e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.2401326459724955 y2[1] (closed_form) 0.7842336297153357 y2[1] (numeric) 0.7842336297152885 absolute error 4.718447854656915e-14 relative error 6.016635446212166e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.620465642903384 y1[1] (numeric) -0.6204656429034299 absolute error 4.5852210917018965e-14 relative error 7.389967751068346e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.250137190823693 y2[1] (closed_form) 0.7779870099092849 y2[1] (numeric) 0.777987009909237 absolute error 4.796163466380676e-14 relative error 6.164837465525189e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.6282803613136496 y1[1] (numeric) -0.628280361313695 absolute error 4.54081217071689e-14 relative error 7.227366077817017e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.2601417356748903 y2[1] (closed_form) 0.7716625213189694 y2[1] (numeric) 0.7716625213189204 absolute error 4.8960835385969403e-14 relative error 6.344850764850257e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.6360321950905089 y1[1] (numeric) -0.6360321950905535 absolute error 4.463096558993129e-14 relative error 7.017092206091895e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.2699849168994555 y2[1] (closed_form) 0.7653646600526848 y2[1] (numeric) 0.7653646600526351 absolute error 4.96269692007445e-14 relative error 6.484094679434031e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.6435968747146292 y1[1] (numeric) -0.6435968747146735 absolute error 4.4297898682543746e-14 relative error 6.882864169001043e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.279989461750653 y2[1] (closed_form) 0.758887570959328 y2[1] (numeric) 0.7588875709592778 absolute error 5.0182080713057076e-14 relative error 6.612584344953852e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.6512216632172573 y1[1] (numeric) -0.6512216632173007 absolute error 4.340972026284362e-14 relative error 6.665890082400636e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.2899940066018503 y2[1] (closed_form) 0.7523345247461329 y2[1] (numeric) 0.7523345247460821 absolute error 5.084821452783217e-14 relative error 6.75872405895374e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.6587812708896711 y1[1] (numeric) -0.658781270889714 absolute error 4.296563105299356e-14 relative error 6.521987335032965e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.2999985514530477 y2[1] (closed_form) 0.7457061773080379 y2[1] (numeric) 0.7457061773079859 absolute error 5.1958437552457326e-14 relative error 6.967682330328105e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.6662749410901128 y1[1] (numeric) -0.6662749410901551 absolute error 4.2299497238218464e-14 relative error 6.348654981532244e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.310003096304245 y2[1] (closed_form) 0.7390031920768868 y2[1] (numeric) 0.7390031920768341 absolute error 5.2735593669694936e-14 relative error 7.1360440976563815e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.6737019237765111 y1[1] (numeric) -0.673701923776553 absolute error 4.196643033083092e-14 relative error 6.229228216476424e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.3200076411554424 y2[1] (closed_form) 0.7322262399550269 y2[1] (numeric) 0.7322262399549732 absolute error 5.3734794391857577e-14 relative error 7.338550772935692e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.6810614755815537 y1[1] (numeric) -0.6810614755815955 absolute error 4.1744385725905886e-14 relative error 6.12931243692218e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.33001218600664 y2[1] (closed_form) 0.7253759992481573 y2[1] (numeric) 0.725375999248103 absolute error 5.4289905904170155e-14 relative error 7.484381336085137e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.688352859887091 y1[1] (numeric) -0.6883528598871324 absolute error 4.1300296516055823e-14 relative error 5.999872873751148e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.3400167308578372 y2[1] (closed_form) 0.7184531555974379 y2[1] (numeric) 0.7184531555973832 absolute error 5.473399511402022e-14 relative error 7.618310906924131e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.6955753468978638 y1[1] (numeric) -0.6955753468979046 absolute error 4.0745185003743245e-14 relative error 5.857767269277033e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.3500212757090346 y2[1] (closed_form) 0.7114584019108631 y2[1] (numeric) 0.7114584019108069 absolute error 5.617728504603292e-14 relative error 7.896074443024322e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.7027282137145491 y1[1] (numeric) -0.702728213714589 absolute error 3.9968028886505635e-14 relative error 5.6875514753049045e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.360025820560232 y2[1] (closed_form) 0.7043924382939085 y2[1] (numeric) 0.7043924382938516 absolute error 5.695444116327053e-14 relative error 8.08561223360354e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.7098107444061144 y1[1] (numeric) -0.7098107444061541 absolute error 3.9745984281580604e-14 relative error 5.599518546994571e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.3700303654114294 y2[1] (closed_form) 0.6972559719794583 y2[1] (numeric) 0.6972559719794005 absolute error 5.784261958297066e-14 relative error 8.295751045166342e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.7168222300814763 y1[1] (numeric) -0.7168222300815155 absolute error 3.9190872769268026e-14 relative error 5.467307112505909e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.380034910262627 y2[1] (closed_form) 0.6900497172570167 y2[1] (numeric) 0.690049717256958 absolute error 5.873079800267078e-14 relative error 8.511096596942136e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.7237619689604528 y1[1] (numeric) -0.7237619689604914 absolute error 3.863576125695545e-14 relative error 5.338186159801739e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.390039455113824 y2[1] (closed_form) 0.6827743954012159 y2[1] (numeric) 0.6827743954011565 absolute error 5.939693181744587e-14 relative error 8.699349626686382e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.7306292664440045 y1[1] (numeric) -0.7306292664440426 absolute error 3.808064974464287e-14 relative error 5.212034542495483e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.4000439999650216 y2[1] (closed_form) 0.6754307345996231 y2[1] (numeric) 0.675430734599563 absolute error 6.006306563222097e-14 relative error 8.892557379377281e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.7374234351837575 y1[1] (numeric) -0.7374234351837952 absolute error 3.7636560534792807e-14 relative error 5.1037923042700975e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.410048544816219 y2[1] (closed_form) 0.6680194698798562 y2[1] (numeric) 0.6680194698797961 absolute error 6.006306563222097e-14 relative error 8.991214828367706e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.7441437951508001 y1[1] (numeric) -0.7441437951508367 absolute error 3.6637359812630166e-14 relative error 4.923424753572747e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.4200530896674164 y2[1] (closed_form) 0.660541343036015 y2[1] (numeric) 0.6605413430359541 absolute error 6.084022174945858e-14 relative error 9.210660678682358e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.7507896737037462 y1[1] (numeric) -0.7507896737037828 absolute error 3.6637359812630166e-14 relative error 4.879843329742824e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.430057634518614 y2[1] (closed_form) 0.6529971025544345 y2[1] (numeric) 0.6529971025543728 absolute error 6.17284001691587e-14 relative error 9.453089443687533e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.7573604056560611 y1[1] (numeric) -0.7573604056560973 absolute error 3.6193270602780103e-14 relative error 4.778870182872551e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.440062179369811 y2[1] (closed_form) 0.6453875035387696 y2[1] (numeric) 0.6453875035387067 absolute error 6.294964549624638e-14 relative error 9.75377508103004e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.7638553333426393 y1[1] (numeric) -0.763855333342675 absolute error 3.5638159090467525e-14 relative error 4.665563953650039e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.4500667242210086 y2[1] (closed_form) 0.6377133076344161 y2[1] (numeric) 0.6377133076343525 absolute error 6.361577931102147e-14 relative error 9.975607933759895e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 y1[1] (closed_form) -0.7702738066856308 y1[1] (numeric) -0.7702738066856654 absolute error 3.452793606584237e-14 relative error 4.482553575904488e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.460071269072206 y2[1] (closed_form) 0.6299752829522777 y2[1] (numeric) 0.6299752829522136 absolute error 6.405986852087153e-14 relative error 1.0168632048652016e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.776615183259507 y1[1] (numeric) -0.7766151832595407 absolute error 3.375077994860476e-14 relative error 4.345882063102402e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.4700758139234034 y2[1] (closed_form) 0.6221742039918858 y2[1] (numeric) 0.622174203991821 absolute error 6.483702463810914e-14 relative error 1.0421040316701193e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.7828788283553613 y1[1] (numeric) -0.7828788283553944 absolute error 3.3084646133829665e-14 relative error 4.226023866724368e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.4800803587746008 y2[1] (closed_form) 0.6143108515638798 y2[1] (numeric) 0.614310851563814 absolute error 6.572520305780927e-14 relative error 1.0699013844617843e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.7890641150444373 y1[1] (numeric) -0.7890641150444698 absolute error 3.2529534621517087e-14 relative error 4.122546444744245e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.490084903625798 y2[1] (closed_form) 0.6063860127118554 y2[1] (numeric) 0.6063860127117889 absolute error 6.650235917504688e-14 relative error 1.0967000851097747e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.7951704242408778 y1[1] (numeric) -0.7951704242409099 absolute error 3.2085445411667024e-14 relative error 4.035040091222949e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.5000894484769955 y2[1] (closed_form) 0.5984004806335899 y2[1] (numeric) 0.5984004806335225 absolute error 6.7390537594747e-14 relative error 1.1261778654220583e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.8011971447636896 y1[1] (numeric) -0.8011971447637207 absolute error 3.108624468950438e-14 relative error 3.879974472284617e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.510093993328193 y2[1] (closed_form) 0.5903550546016504 y2[1] (numeric) 0.5903550546015822 absolute error 6.816769371198461e-14 relative error 1.1546897613671088e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.8071436733979164 y1[1] (numeric) -0.8071436733979468 absolute error 3.042011087472929e-14 relative error 3.7688594828064e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.5200985381793903 y2[1] (closed_form) 0.5822505398833949 y2[1] (numeric) 0.5822505398833258 absolute error 6.916689443414725e-14 relative error 1.1879232340084912e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.8130094149550147 y1[1] (numeric) -0.8130094149550441 absolute error 2.942091015256665e-14 relative error 3.6187662296868435e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.5301030830305877 y2[1] (closed_form) 0.5740877476603728 y2[1] (numeric) 0.5740877476603028 absolute error 7.005507285384738e-14 relative error 1.2202851069257025e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.818793782332426 y1[1] (numeric) -0.8187937823324547 absolute error 2.8754776337791554e-14 relative error 3.5118459566070897e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.540107627881785 y2[1] (closed_form) 0.5658674949471341 y2[1] (numeric) 0.5658674949470629 absolute error 7.116529587847253e-14 relative error 1.2576318045114276e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.8244961965723403 y1[1] (numeric) -0.8244961965723685 absolute error 2.8199664825478976e-14 relative error 3.420229825524098e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.5501121727329825 y2[1] (closed_form) 0.5575906045094534 y2[1] (numeric) 0.5575906045093815 absolute error 7.194245199571014e-14 relative error 1.2902378808732318e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.8301160869196442 y1[1] (numeric) -0.8301160869196721 absolute error 2.786659791809143e-14 relative error 3.356951920001634e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.56011671758418 y2[1] (closed_form) 0.5492579047819804 y2[1] (numeric) 0.5492579047819076 absolute error 7.283063041541027e-14 relative error 1.325982380614427e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.8356528908790473 y1[1] (numeric) -0.8356528908790741 absolute error 2.6867397195928788e-14 relative error 3.2151384251978358e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.5701212624353773 y2[1] (closed_form) 0.5408702297853212 y2[1] (numeric) 0.5408702297852477 absolute error 7.349676423018536e-14 relative error 1.3588613346191606e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.8411060542713825 y1[1] (numeric) -0.8411060542714086 absolute error 2.609024107869118e-14 relative error 3.101896716376883e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.5801258072865747 y2[1] (closed_form) 0.5324284190425607 y2[1] (numeric) 0.5324284190424867 absolute error 7.394085344003543e-14 relative error 1.388747309412964e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.8464750312890743 y1[1] (numeric) -0.8464750312890993 absolute error 2.4980018054066022e-14 relative error 2.951063779876013e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.590130352137772 y2[1] (closed_form) 0.5239333174952356 y2[1] (numeric) 0.5239333174951609 absolute error 7.471800955727304e-14 relative error 1.4260976933949707e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.8517592845507683 y1[1] (numeric) -0.8517592845507924 absolute error 2.4091839634365897e-14 relative error 2.828479838299893e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.6001348969889695 y2[1] (closed_form) 0.5153857754187634 y2[1] (numeric) 0.5153857754186878 absolute error 7.560618797697316e-14 relative error 1.4669824349642034e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.8569582851551177 y1[1] (numeric) -0.8569582851551414 absolute error 2.3647750424515834e-14 relative error 2.7594984299889654e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.610139441840167 y2[1] (closed_form) 0.5067866483373384 y2[1] (numeric) 0.5067866483372622 absolute error 7.627232179174825e-14 relative error 1.505018374931184e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.8620715127337214 y1[1] (numeric) -0.8620715127337445 absolute error 2.3092638912203256e-14 relative error 2.6787381987573184e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.6201439866913643 y2[1] (closed_form) 0.49813679693830276 y2[1] (numeric) 0.49813679693822577 absolute error 7.69939667577546e-14 relative error 1.545639013840826e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.8670984555032076 y1[1] (numeric) -0.8670984555032302 absolute error 2.2537527399890678e-14 relative error 2.599188968317486e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.6299871679159295 y2[1] (closed_form) 0.4895777959260774 y2[1] (numeric) 0.4895777959259998 absolute error 7.760458942129844e-14 relative error 1.58513294653208e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.8719596216202699 y1[1] (numeric) -0.8719596216202917 absolute error 2.1871393585115584e-14 relative error 2.508303485942881e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.639991712767127 y2[1] (closed_form) 0.48082988136618227 y2[1] (numeric) 0.48082988136610394 absolute error 7.83262343873048e-14 relative error 1.628980174126375e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.8768139056751912 y1[1] (numeric) -0.876813905675212 absolute error 2.0761170560490427e-14 relative error 2.3677966813839786e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.6499962576183242 y2[1] (closed_form) 0.4720338405036326 y2[1] (numeric) 0.47203384050355357 absolute error 7.904787935331115e-14 relative error 1.6746231428867824e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.8815804293536643 y1[1] (numeric) -0.8815804293536846 absolute error 2.0317081350640365e-14 relative error 2.3046202790068682e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.6600008024695216 y2[1] (closed_form) 0.4631905537348869 y2[1] (numeric) 0.4631905537348071 absolute error 7.97695243193175e-14 relative error 1.722175110785498e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.8862587155739394 y1[1] (numeric) -0.8862587155739589 absolute error 1.942890293094024e-14 relative error 2.1922382922190074e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.670005347320719 y2[1] (closed_form) 0.4543009061852503 y2[1] (numeric) 0.45430090618516966 absolute error 8.065770273901762e-14 relative error 1.7754246500694372e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.8908482960859612 y1[1] (numeric) -0.8908482960859798 absolute error 1.865174681370263e-14 relative error 2.0937062904706793e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.6800098921719164 y2[1] (closed_form) 0.44536578762028256 y2[1] (numeric) 0.44536578762020096 absolute error 8.1601392309949e-14 relative error 1.8322330672494783e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.895348711518236 y1[1] (numeric) -0.8953487115182539 absolute error 1.787459069646502e-14 relative error 1.996383137264498e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.690014437023114 y2[1] (closed_form) 0.43638609235674086 y2[1] (numeric) 0.4363860923566584 absolute error 8.248957072964913e-14 relative error 1.8902887185097275e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.8997595114238104 y1[1] (numeric) -0.8997595114238276 absolute error 1.7208456881689926e-14 relative error 1.912561819375343e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.700018981874311 y2[1] (closed_form) 0.42736271917306795 y2[1] (numeric) 0.42736271917298463 absolute error 8.3322237998118e-14 relative error 1.9496842906499575e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9040802543253565 y1[1] (numeric) -0.9040802543253726 absolute error 1.609823385706477e-14 relative error 1.7806200035944382e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.7100235267255086 y2[1] (closed_form) 0.41829657121943326 y2[1] (numeric) 0.41829657121934916 absolute error 8.409939411535561e-14 relative error 2.0105207621039308e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9083105077593596 y1[1] (numeric) -0.9083105077593747 absolute error 1.509903313490213e-14 relative error 1.6623206498126677e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.720028071576706 y2[1] (closed_form) 0.4091885559273364 y2[1] (numeric) 0.4091885559272516 absolute error 8.47655279301307e-14 relative error 2.0715517749030925e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9124498483194028 y1[1] (numeric) -0.9124498483194174 absolute error 1.4654943925052066e-14 relative error 1.6061095250379294e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.7300326164279034 y2[1] (closed_form) 0.40003958491878244 y2[1] (numeric) 0.4000395849186968 absolute error 8.565370634983083e-14 relative error 2.1411307675269328e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9164978616985466 y1[1] (numeric) -0.9164978616985601 absolute error 1.3433698597964394e-14 relative error 1.4657643142852186e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.740037161279101 y2[1] (closed_form) 0.3908505739150374 y2[1] (numeric) 0.39085057391495104 absolute error 8.637535131583718e-14 relative error 2.2099328254949253e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9204541427307967 y1[1] (numeric) -0.920454142730809 absolute error 1.2323475573339238e-14 relative error 1.3388473147372707e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.750041706130298 y2[1] (closed_form) 0.3816224426449739 y2[1] (numeric) 0.38162244264488654 absolute error 8.737455203799982e-14 relative error 2.289554865600108e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9243182954316568 y1[1] (numeric) -0.9243182954316685 absolute error 1.176836406102666e-14 relative error 1.2731938899392694e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.7600462509814956 y2[1] (closed_form) 0.37235611475301506 y2[1] (numeric) 0.372356114752927 absolute error 8.804068585277491e-14 relative error 2.364421648108896e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.928089933037763 y1[1] (numeric) -0.928089933037774 absolute error 1.099120794378905e-14 relative error 1.184282638193623e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.770050795832693 y2[1] (closed_form) 0.3630525177066872 y2[1] (numeric) 0.36305251770659835 absolute error 8.881784197001252e-14 relative error 2.4464185658607418e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9317686780455949 y1[1] (numeric) -0.9317686780456045 absolute error 9.547918011776346e-15 relative error 1.0247090545910291e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.7800553406838904 y2[1] (closed_form) 0.3537125827037893 y2[1] (numeric) 0.3537125827036997 absolute error 8.959499808725013e-14 relative error 2.5329887164992367e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.93535416224926 y1[1] (numeric) -0.9353541622492685 absolute error 8.43769498715119e-15 relative error 9.020855765329508e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.7900598855350878 y2[1] (closed_form) 0.34433724457918946 y2[1] (numeric) 0.3443372445790991 absolute error 9.037215420448774e-14 relative error 2.624524521444972e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9388460267773473 y1[1] (numeric) -0.9388460267773547 absolute error 7.438494264988549e-15 relative error 7.92301831485796e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.800064430386285 y2[1] (closed_form) 0.3349274417112572 y2[1] (numeric) 0.33492744171116595 absolute error 9.126033262418787e-14 relative error 2.7247791986798115e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9422439221288469 y1[1] (numeric) -0.9422439221288536 absolute error 6.661338147750939e-15 relative error 7.069653612305324e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.8100689752374826 y2[1] (closed_form) 0.325484115927941 y2[1] (numeric) 0.3254841159278489 absolute error 9.209299989265674e-14 relative error 2.8294161031515657e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9455475082081316 y1[1] (numeric) -0.9455475082081373 absolute error 5.662137425588298e-15 relative error 5.988210403428997e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.82007352008868 y2[1] (closed_form) 0.3160082124125007 y2[1] (numeric) 0.3160082124124078 absolute error 9.29256671611256e-14 relative error 2.94060924719973e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9487564543589971 y1[1] (numeric) -0.948756454359002 absolute error 4.884981308350689e-15 relative error 5.148825376530483e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.8300780649398773 y2[1] (closed_form) 0.3065006796089041 y2[1] (numeric) 0.30650067960881044 absolute error 9.364731212713195e-14 relative error 3.0553704561642814e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9518704393977575 y1[1] (numeric) -0.9518704393977613 absolute error 3.774758283725532e-15 relative error 3.9656219244646345e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.8400826097910747 y2[1] (closed_form) 0.296962469126897 y2[1] (numeric) 0.29696246912680285 absolute error 9.414691248821327e-14 relative error 3.170330337197686e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9548891516453921 y1[1] (numeric) -0.9548891516453951 absolute error 2.9976021664879227e-15 relative error 3.139214809721823e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.850087154642272 y2[1] (closed_form) 0.2873945356467567 y2[1] (numeric) 0.2873945356466618 absolute error 9.492406860545088e-14 relative error 3.3029183520080654e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9578122889587422 y1[1] (numeric) -0.9578122889587444 absolute error 2.220446049250313e-15 relative error 2.3182476095229543e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.8600916994934695 y2[1] (closed_form) 0.27779783682373776 y2[1] (numeric) 0.2777978368236419 absolute error 9.586775817638227e-14 relative error 3.4509900895020356e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9606395587607518 y1[1] (numeric) -0.9606395587607534 absolute error 1.5543122344752192e-15 relative error 1.61799732303375e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.870096244344667 y2[1] (closed_form) 0.2681733331922203 y2[1] (numeric) 0.2681733331921236 absolute error 9.670042544485113e-14 relative error 3.605892662546673e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9633706780697523 y1[1] (numeric) -0.963370678069753 absolute error 6.661338147750939e-16 relative error 6.914615837278606e-14% Desired digits 8 Estimated correct digits 11 Correct digits 16 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.8801007891958643 y2[1] (closed_form) 0.25852198806957 y2[1] (numeric) 0.2585219880694727 absolute error 9.731104810839497e-14 relative error 3.764130426004921e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9660053735277859 y1[1] (numeric) -0.9660053735277855 absolute error 4.440892098500626e-16 relative error 4.597171216846124e-14% Desired digits 8 Estimated correct digits 11 Correct digits 16 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.8901053340470617 y2[1] (closed_form) 0.2488447674597196 y2[1] (numeric) 0.2488447674596215 absolute error 9.808820422563258e-14 relative error 3.941742686693626e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9685433814279658 y1[1] (numeric) -0.9685433814279646 absolute error 1.2212453270876722e-15 relative error 1.260909269017085e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.900109878898259 y2[1] (closed_form) 0.23914263995648158 y2[1] (numeric) 0.2391426399563827 absolute error 9.886536034287019e-14 relative error 4.134158607635234e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9709844477408712 y1[1] (numeric) -0.9709844477408689 absolute error 2.3314683517128287e-15 relative error 2.4011387176564054e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.9101144237494565 y2[1] (closed_form) 0.2294165766466014 y2[1] (numeric) 0.22941657664650178 absolute error 9.961476088449217e-14 relative error 4.342090808805898e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9733283281399725 y1[1] (numeric) -0.9733283281399693 absolute error 3.219646771412954e-15 relative error 3.307873282148984e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.920118968600654 y2[1] (closed_form) 0.21966755101256139 y2[1] (numeric) 0.21966755101246097 absolute error 1.0041967257734541e-13 relative error 4.5714386177867046e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9755747880260865 y1[1] (numeric) -0.9755747880260823 absolute error 4.218847493575595e-15 relative error 4.3244736798823303e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.9301235134518513 y2[1] (closed_form) 0.20989653883514478 y2[1] (numeric) 0.20989653883504375 absolute error 1.0103029524088925e-13 relative error 4.813337837849705e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9777236025508572 y1[1] (numeric) -0.9777236025508521 absolute error 5.10702591327572e-15 relative error 5.223384093369141e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.9401280583030487 y2[1] (closed_form) 0.2001045180957698 y2[1] (numeric) 0.20010451809566795 absolute error 1.0183520693374248e-13 relative error 5.089100831046917e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9797745566392606 y1[1] (numeric) -0.9797745566392542 absolute error 6.439293542825908e-15 relative error 6.572219598060829e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.950132603154246 y2[1] (closed_form) 0.1902924688786033 y2[1] (numeric) 0.19029246887850057 absolute error 1.0272338535344261e-13 relative error 5.39818448721556e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9817274450111323 y1[1] (numeric) -0.9817274450111244 absolute error 7.882583474838611e-15 relative error 8.029299287593235e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.9601371480054435 y2[1] (closed_form) 0.18046137327246425 y2[1] (numeric) 0.18046137327236075 absolute error 1.0350054147068022e-13 relative error 5.735329372364522e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9835820722017132 y1[1] (numeric) -0.9835820722017047 absolute error 8.548717289613705e-15 relative error 8.691412268706472e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.970141692856641 y2[1] (closed_form) 0.1706122152725262 y2[1] (numeric) 0.17061221527242182 absolute error 1.0438871989038034e-13 relative error 6.118478663654637e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9853382525812144 y1[1] (numeric) -0.985338252581205 absolute error 9.43689570931383e-15 relative error 9.577315895929874e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.979984874081206 y2[1] (closed_form) 0.16090524381180105 y2[1] (numeric) 0.16090524381169585 absolute error 1.0519363158323358e-13 relative error 6.537613634660086e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9869698589692923 y1[1] (numeric) -0.986969858969282 absolute error 1.0325074129013956e-14 relative error 1.046138748329821e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.9899894189324034 y2[1] (closed_form) 0.15102317179990776 y2[1] (numeric) 0.15102317179980174 absolute error 1.0602629885170245e-13 relative error 7.020531855348518e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.988530222896344 y1[1] (numeric) -0.9885302228963326 absolute error 1.1324274851176597e-14 relative error 1.1455668819105035e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.999993963783601 y2[1] (closed_form) 0.14112598386623929 y2[1] (numeric) 0.14112598386613245 absolute error 1.0683121054455569e-13 relative error 7.56991785763644e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9899916447515029 y1[1] (numeric) -0.9899916447514904 absolute error 1.2545520178264269e-14 relative error 1.267234955443822e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.0099985086347982 y2[1] (closed_form) 0.13121467062115577 y2[1] (numeric) 0.131214670621048 absolute error 1.0777490011548707e-13 relative error 8.213631875558776e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9913539782609346 y1[1] (numeric) -0.9913539782609211 absolute error 1.354472090042691e-14 relative error 1.3662850200276091e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.0200030534859956 y2[1] (closed_form) 0.12129022408882083 y2[1] (numeric) 0.12129022408871226 absolute error 1.085659340205325e-13 relative error 8.950922041419403e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9926170870685652 y1[1] (numeric) -0.9926170870685508 absolute error 1.4432899320127035e-14 relative error 1.4540248710357009e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.030007598337193 y2[1] (closed_form) 0.11135363760791 y2[1] (numeric) 0.11135363760780063 absolute error 1.0937084571338573e-13 relative error 9.821937393594099e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9937808447497296 y1[1] (numeric) -0.9937808447497142 absolute error 1.5432100042289676e-14 relative error 1.5528675284716365e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.0400121431883904 y2[1] (closed_form) 0.10140590573218725 y2[1] (numeric) 0.10140590573207701 absolute error 1.1023126855747023e-13 relative error 1.0870300675444953e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y1[1] (closed_form) -0.9948451348238251 y1[1] (numeric) -0.9948451348238084 absolute error 1.6653345369377348e-14 relative error 1.6739635935724259e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.050016688039588 y2[1] (closed_form) 0.09144802413096 y2[1] (numeric) 0.09144802413084885 absolute error 1.1114720255278598e-13 relative error 1.2154139316735306e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y1[1] (closed_form) -0.99580985076597 y1[1] (numeric) -0.9958098507659516 absolute error 1.8318679906315083e-14 relative error 1.8395760889716527e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.060021232890785 y2[1] (closed_form) 0.08148098948942253 y2[1] (numeric) 0.08148098948931053 absolute error 1.1200762539687048e-13 relative error 1.3746473391981912e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y1[1] (closed_form) -0.9966748960176657 y1[1] (numeric) -0.9966748960176463 absolute error 1.942890293094024e-14 relative error 1.949372158220374e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.0700257777419826 y2[1] (closed_form) 0.07150579940889777 y2[1] (numeric) 0.07150579940878495 absolute error 1.1282641487753153e-13 relative error 1.5778638349645813e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y1[1] (closed_form) -0.9974401839964613 y1[1] (numeric) -0.9974401839964404 absolute error 2.0872192862952943e-14 relative error 2.0925758955613715e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.08003032259318 y2[1] (closed_form) 0.061523452306987116 y2[1] (numeric) 0.06152345230687344 absolute error 1.1367295993380822e-13 relative error 1.847636237423864e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y1[1] (closed_form) -0.9981056381046196 y1[1] (numeric) -0.9981056381045972 absolute error 2.2426505097428162e-14 relative error 2.2469069646791694e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.0900348674443774 y2[1] (closed_form) 0.051534947317638885 y2[1] (numeric) 0.05153494731752434 absolute error 1.1454726056570053e-13 relative error 2.2227103456549842e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y1[1] (closed_form) -0.9986711917367839 y1[1] (numeric) -0.9986711917367601 absolute error 2.375877272697835e-14 relative error 2.3790385587932695e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.100039412295575 y2[1] (closed_form) 0.04154128419114483 y2[1] (numeric) 0.04154128419102943 absolute error 1.153938056219772e-13 relative error 2.7778102643869447e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y1[1] (closed_form) -0.9991367882866442 y1[1] (numeric) -0.9991367882866196 absolute error 2.4646951146678475e-14 relative error 2.466824506476631e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.110043957146772 y2[1] (closed_form) 0.03154346319407508 y2[1] (numeric) 0.03154346319395883 absolute error 1.162542284660617e-13 relative error 3.6855251990180373e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y1[1] (closed_form) -0.9995023811526034 y1[1] (numeric) -0.9995023811525776 absolute error 2.5757174171303632e-14 relative error 2.576999780791022e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.1200485019979696 y2[1] (closed_form) 0.021542485009161404 y2[1] (numeric) 0.021542485009044272 absolute error 1.1713199854490597e-13 relative error 5.437255659924706e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y1[1] (closed_form) -0.9997679337424411 y1[1] (numeric) -0.999767933742414 absolute error 2.708944180085382e-14 relative error 2.70957298054656e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.130053046849167 y2[1] (closed_form) 0.011539350635138727 y2[1] (numeric) 0.011539350635020717 absolute error 1.1800976862375023e-13 relative error 1.022672525994627e-09% Desired digits 8 Estimated correct digits 9 Correct digits 11 h 0.00016136362663221634 y1[1] (closed_form) -0.9999334194769767 y1[1] (numeric) -0.999933419476948 absolute error 2.864375403532904e-14 relative error 2.8645661278439305e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.1400575917003644 y2[1] (closed_form) 0.001535061286555139 y2[1] (numeric) 0.0015350612864362511 absolute error 1.188879723834635e-13 relative error 7.744835559644807e-09% Desired digits 8 Estimated correct digits 9 Correct digits 11 h 0.00016136362663221634 y1[1] (closed_form) -0.9999988217927291 y1[1] (numeric) -0.9999988217926993 absolute error 2.986499936241671e-14 relative error 2.9865034549617563e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.1500621365515618 y2[1] (closed_form) -0.008469381706439775 y2[1] (numeric) -0.008469381706559542 absolute error 1.1976704350491474e-13 relative error 1.414117909148536e-09% Desired digits 8 Estimated correct digits 9 Correct digits 11 h 0.00016136362663221634 y1[1] (closed_form) -0.9999641341435754 y1[1] (numeric) -0.9999641341435447 absolute error 3.0753177782116836e-14 relative error 3.0754280810736836e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.160066681402759 y2[1] (closed_form) -0.018472976998318145 y2[1] (numeric) -0.018472976998438792 absolute error 1.2064654830723498e-13 relative error 6.530974856852749e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y1[1] (closed_form) -0.9998293600014052 y1[1] (numeric) -0.9998293600013736 absolute error 3.164135620181696e-14 relative error 3.1646756404285317e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.1700712262539565 y2[1] (closed_form) -0.02847472332839858 y2[1] (numeric) -0.028474723328520118 absolute error 1.2153819617388706e-13 relative error 4.2682836553735314e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y1[1] (closed_form) -0.9995945128557735 y1[1] (numeric) -0.9995945128557407 absolute error 3.275157922644212e-14 relative error 3.276486495796489e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.180075771105154 y2[1] (closed_form) -0.038473619621062424 y2[1] (numeric) -0.03847361962118487 absolute error 1.2244372182834695e-13 relative error 3.1825371003386177e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y1[1] (closed_form) -0.9992596162125505 y1[1] (numeric) -0.9992596162125166 absolute error 3.397282455352979e-14 relative error 3.3997996118661816e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.1900803159563513 y2[1] (closed_form) -0.04846866508595151 y2[1] (numeric) -0.04846866508607485 absolute error 1.2333883914195098e-13 relative error 2.544712938209234e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y1[1] (closed_form) -0.998824703591569 y1[1] (numeric) -0.9988247035915337 absolute error 3.530509218307998e-14 relative error 3.5346634956194112e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.2000848608075487 y2[1] (closed_form) -0.05845885931813733 y2[1] (numeric) -0.058458859318261586 absolute error 1.2425477313726674e-13 relative error 2.1255079997552347e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y1[1] (closed_form) -0.9982898185232695 y1[1] (numeric) -0.9982898185232331 absolute error 3.6415315207705135e-14 relative error 3.64776986923225e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.210089405658746 y2[1] (closed_form) -0.06844320239825168 y2[1] (numeric) -0.0684432023983768 absolute error 1.2512213487525514e-13 relative error 1.8281163138335456e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y1[1] (closed_form) -0.9976550145443424 y1[1] (numeric) -0.9976550145443045 absolute error 3.785860513971784e-14 relative error 3.794759169030884e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.2200939505099435 y2[1] (closed_form) -0.07842069499256862 y2[1] (numeric) -0.07842069499269458 absolute error 1.25954802143724e-13 relative error 1.6061423857013745e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y1[1] (closed_form) -0.9969203551923707 y1[1] (numeric) -0.9969203551923316 absolute error 3.907985046680551e-14 relative error 3.920057431194137e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.230098495361141 y2[1] (closed_form) -0.08839033845302792 y2[1] (numeric) -0.08839033845315475 absolute error 1.2682910277561632e-13 relative error 1.4348751797462049e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y1[1] (closed_form) -0.9960859139994698 y1[1] (numeric) -0.9960859139994295 absolute error 4.030109579389318e-14 relative error 4.045945759043696e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.2401030402123383 y2[1] (closed_form) -0.09835113491718982 y2[1] (numeric) -0.09835113491731755 absolute error 1.2773115898312426e-13 relative error 1.298725826505937e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y1[1] (closed_form) -0.9951517744849279 y1[1] (numeric) -0.9951517744848866 absolute error 4.1300296516055823e-14 relative error 4.150150517234629e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.2501075850635357 y2[1] (closed_form) -0.10830208740811113 y2[1] (numeric) -0.10830208740823971 absolute error 1.2857770403940094e-13 relative error 1.1872135349975839e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y1[1] (closed_form) -0.9941180301468462 y1[1] (numeric) -0.9941180301468036 absolute error 4.263256414560601e-14 relative error 4.2884811312906716e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.260112129914733 y2[1] (closed_form) -0.11824219993413276 y2[1] (numeric) -0.11824219993426223 absolute error 1.2946588245910107e-13 relative error 1.0949211240252676e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y1[1] (closed_form) -0.9929847844527813 y1[1] (numeric) -0.9929847844527373 absolute error 4.39648317751562e-14 relative error 4.4275433484496485e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.2701166747659305 y2[1] (closed_form) -0.12817047758856862 y2[1] (numeric) -0.12817047758869896 absolute error 1.3034018309099338e-13 relative error 1.0169282782060748e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 y1[1] (closed_form) -0.9917521508293885 y1[1] (numeric) -0.991752150829343 absolute error 4.551914400963142e-14 relative error 4.589770132745807e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.280121219617128 y2[1] (closed_form) -0.13808592664928587 y2[1] (numeric) -0.138085926649417 absolute error 1.31117339208231e-13 relative error 9.495344123028997e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9904202526510694 y1[1] (numeric) -0.9904202526510224 absolute error 4.696243394164412e-14 relative error 4.741667369577634e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.2901257644683253 y2[1] (closed_form) -0.14798755467816674 y2[1] (numeric) -0.1479875546782988 absolute error 1.3206102877916237e-13 relative error 8.923792886932939e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9889892232276227 y1[1] (numeric) -0.9889892232275747 absolute error 4.807265696626928e-14 relative error 4.860786734296398e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.3001303093195227 y2[1] (closed_form) -0.15787437062044157 y2[1] (numeric) -0.15787437062057463 absolute error 1.33060229501325e-13 relative error 8.428234993330601e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9874592057909023 y1[1] (numeric) -0.9874592057908528 absolute error 4.951594689828198e-14 relative error 5.014480254768838e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.31013485417072 y2[1] (closed_form) -0.1677453849038838 y2[1] (numeric) -0.1677453849040177 absolute error 1.3389289676979388e-13 relative error 7.981912399349346e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9858303534804799 y1[1] (numeric) -0.9858303534804287 absolute error 5.1181281435219717e-14 relative error 5.191692592394208e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.3201393990219175 y2[1] (closed_form) -0.17759960953785614 y2[1] (numeric) -0.17759960953799092 absolute error 1.34781075189494e-13 relative error 7.589041188785093e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9841028293283183 y1[1] (numeric) -0.9841028293282661 absolute error 5.218048215738236e-14 relative error 5.30234042645698e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.330143943873115 y2[1] (closed_form) -0.1874360582121987 y2[1] (numeric) -0.18743605821233447 absolute error 1.3578027591165664e-13 relative error 7.244085113971939e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9822768062424528 y1[1] (numeric) -0.9822768062423989 absolute error 5.395683899678261e-14 relative error 5.493038077849573e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.33998712509768 y2[1] (closed_form) -0.19709555059911588 y2[1] (numeric) -0.19709555059925243 absolute error 1.3655743202889425e-13 relative error 6.928488827565995e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9803842838061162 y1[1] (numeric) -0.9803842838060602 absolute error 5.595524044110789e-14 relative error 5.707480359015401e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.3499916699488774 y2[1] (closed_form) -0.20689382186342237 y2[1] (numeric) -0.20689382186355987 absolute error 1.3750112159982564e-13 relative error 6.645975233160649e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9783634020519913 y1[1] (numeric) -0.9783634020519342 absolute error 5.717648576819556e-14 relative error 5.844094908729746e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.359996214800075 y2[1] (closed_form) -0.21667138510796088 y2[1] (numeric) -0.21667138510809922 absolute error 1.383337888682945e-13 relative error 6.384497371416484e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9762445958239142 y1[1] (numeric) -0.9762445958238557 absolute error 5.850875339774575e-14 relative error 5.993247352971674e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.370000759651272 y2[1] (closed_form) -0.2264272616956164 y2[1] (numeric) -0.22642726169575567 absolute error 1.392774784392259e-13 relative error 6.151091409940515e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9740280771933758 y1[1] (numeric) -0.9740280771933157 absolute error 6.006306563222097e-14 relative error 6.166461423298019e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.3800053045024696 y2[1] (closed_form) -0.2361604751598931 y2[1] (numeric) -0.23616047516003333 absolute error 1.4022116801015727e-13 relative error 5.937537511949032e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9717140680119093 y1[1] (numeric) -0.9717140680118473 absolute error 6.195044477408373e-14 relative error 6.375377985504731e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.390009849353667 y2[1] (closed_form) -0.24587005130264916 y2[1] (numeric) -0.24587005130279022 absolute error 1.4105383527862614e-13 relative error 5.7369262556096574e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9693027998888855 y1[1] (numeric) -0.969302799888822 absolute error 6.350475700855895e-14 relative error 6.551591207189201e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.4000143942048644 y2[1] (closed_form) -0.25555501829160415 y2[1] (numeric) -0.2555550182917461 absolute error 1.4194201369832626e-13 relative error 5.554264386871151e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9667945141683303 y1[1] (numeric) -0.9667945141682657 absolute error 6.461498003318411e-14 relative error 6.683424356081305e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.410018939056062 y2[1] (closed_form) -0.26521440675761 y2[1] (numeric) -0.26521440675775276 absolute error 1.4277468096679513e-13 relative error 5.3833682231781096e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9641894619047695 y1[1] (numeric) -0.964189461904703 absolute error 6.650235917504688e-14 relative error 6.897229414193197e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.420023483907259 y2[1] (closed_form) -0.27484724989167486 y2[1] (numeric) -0.27484724989181847 absolute error 1.43607348235264e-13 relative error 5.2249876355635267e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9614879038380999 y1[1] (numeric) -0.9614879038380321 absolute error 6.783462680459706e-14 relative error 7.055172148688768e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.4300280287584566 y2[1] (closed_form) -0.28445258354173164 y2[1] (numeric) -0.2844525835418762 absolute error 1.4455103780619538e-13 relative error 5.081727014266633e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9586901103674921 y1[1] (numeric) -0.9586901103674228 absolute error 6.927791673660977e-14 relative error 7.226309731103167e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.440032573609654 y2[1] (closed_form) -0.29402944630913963 y2[1] (numeric) -0.2940294463092851 absolute error 1.4549472737712676e-13 relative error 4.948304641030921e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9557963615243263 y1[1] (numeric) -0.9557963615242556 absolute error 7.072120666862247e-14 relative error 7.399191869263307e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.4500371184608514 y2[1] (closed_form) -0.3035768796449112 y2[1] (numeric) -0.3035768796450575 absolute error 1.4627188349436437e-13 relative error 4.8182814075121975e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9528069469441641 y1[1] (numeric) -0.9528069469440915 absolute error 7.260858581048524e-14 relative error 7.620492907126148e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.4600416633120488 y2[1] (closed_form) -0.3130939279456529 y2[1] (numeric) -0.3130939279458 absolute error 1.4710455076283324e-13 relative error 4.698415958688531e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9497221658377583 y1[1] (numeric) -0.9497221658376842 absolute error 7.405187574249794e-14 relative error 7.797214638786085e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.470046208163246 y2[1] (closed_form) -0.32257963864921196 y2[1] (numeric) -0.3225796386493601 absolute error 1.4815926263622714e-13 relative error 4.592951472592552e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9465423269611052 y1[1] (numeric) -0.9465423269610298 absolute error 7.538414337204813e-14 relative error 7.964159787134989e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.4800507530144436 y2[1] (closed_form) -0.33203306233001834 y2[1] (numeric) -0.3320330623301675 absolute error 1.4915846335838978e-13 relative error 4.49227743501448e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9432677485845417 y1[1] (numeric) -0.9432677485844645 absolute error 7.716050021144838e-14 relative error 8.180127045288538e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.490055297865641 y2[1] (closed_form) -0.3414532527941128 y2[1] (numeric) -0.341453252794263 absolute error 1.5015766408055242e-13 relative error 4.397605319375695e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9398987584608886 y1[1] (numeric) -0.9398987584608103 absolute error 7.827072323607354e-14 relative error 8.327569595287487e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.5000598427168383 y2[1] (closed_form) -0.3508392671738515 y2[1] (numeric) -0.3508392671740024 absolute error 1.5087930904655877e-13 relative error 4.300525145373579e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9364356937926464 y1[1] (numeric) -0.9364356937925662 absolute error 8.01581023779363e-14 relative error 8.559915316052188e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.5100643875680357 y2[1] (closed_form) -0.36019016602227766 y2[1] (numeric) -0.36019016602242937 absolute error 1.5171197631502764e-13 relative error 4.211996623629205e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9328789011982446 y1[1] (numeric) -0.9328789011981626 absolute error 8.193445921733655e-14 relative error 8.78296841230894e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.520068932419233 y2[1] (closed_form) -0.369505013407151 y2[1] (numeric) -0.36950501340730363 absolute error 1.5265566588595902e-13 relative error 4.131355742059999e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9292287366773485 y1[1] (numeric) -0.9292287366772649 absolute error 8.359979375427429e-14 relative error 8.996686225310124e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.5300734772704305 y2[1] (closed_form) -0.3787828770046251 y2[1] (numeric) -0.3787828770047786 absolute error 1.534883331544279e-13 relative error 4.0521455026741805e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9254855655752277 y1[1] (numeric) -0.9254855655751427 absolute error 8.493206138382448e-14 relative error 9.177027124246469e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.540078022121628 y2[1] (closed_form) -0.3880228281925641 y2[1] (numeric) -0.38802282819271844 absolute error 1.5432100042289676e-13 relative error 3.9771113761974816e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9216497625461876 y1[1] (numeric) -0.9216497625461008 absolute error 8.681944052568724e-14 relative error 9.420003569016963e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.5500825669728253 y2[1] (closed_form) -0.39722394214348816 y2[1] (numeric) -0.39722394214364337 absolute error 1.5520917884259688e-13 relative error 3.907347024579175e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9177217115160711 y1[1] (numeric) -0.9177217115159827 absolute error 8.837375276016246e-14 relative error 9.629689659860996e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.5600871118240227 y2[1] (closed_form) -0.40638529791713984 y2[1] (numeric) -0.4063852979172958 absolute error 1.5593082380860324e-13 relative error 3.8370193165894704e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9137018056438312 y1[1] (numeric) -0.9137018056437415 absolute error 8.970602038971265e-14 relative error 9.817866161105172e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.57009165667522 y2[1] (closed_form) -0.4155059785526608 y2[1] (numeric) -0.4155059785528178 absolute error 1.5698553568199713e-13 relative error 3.7781775422059526e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9095904472821797 y1[1] (numeric) -0.9095904472820885 absolute error 9.126033262418787e-14 relative error 1.0033123467475953e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.5800962015264175 y2[1] (closed_form) -0.4245850711603708 y2[1] (numeric) -0.42458507116052874 absolute error 1.5792922525292852e-13 relative error 3.7196132407886e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9053880479373155 y1[1] (numeric) -0.9053880479372228 absolute error 9.270362255620057e-14 relative error 1.023910385910229e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.590100746377615 y2[1] (closed_form) -0.43362166701313865 y2[1] (numeric) -0.4336216670132977 absolute error 1.5903944827755367e-13 relative error 3.667700679558866e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.9010950282277373 y1[1] (numeric) -0.901095028227643 absolute error 9.43689570931383e-14 relative error 1.047269756650883e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.6001052912288123 y2[1] (closed_form) -0.44261486163733693 y2[1] (numeric) -0.44261486163749675 absolute error 1.5981660439479128e-13 relative error 3.610737420871769e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.8967118178421433 y1[1] (numeric) -0.8967118178420471 absolute error 9.614531393253856e-14 relative error 1.0721985817461807e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.6101098360800097 y2[1] (closed_form) -0.4515637549033708 y2[1] (numeric) -0.4515637549035314 absolute error 1.605937605120289e-13 relative error 3.556391733574676e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.8922388554964239 y1[1] (numeric) -0.8922388554963265 absolute error 9.736655925962623e-14 relative error 1.0912611422358805e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.620114380931207 y2[1] (closed_form) -0.460467451115772 y2[1] (numeric) -0.46046745111593357 absolute error 1.6159296123419153e-13 relative error 3.509324293012046e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.8876765888897511 y1[1] (numeric) -0.8876765888896518 absolute error 9.9253938401489e-14 relative error 1.118131757035853e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.6301189257824045 y2[1] (closed_form) -0.469325059102849 y2[1] (numeric) -0.46932505910301153 absolute error 1.6253665080512292e-13 relative error 3.463199921943743e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.8830254746597672 y1[1] (numeric) -0.8830254746596662 absolute error 1.0103029524088925e-13 relative error 1.1441379455084981e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.640123470633602 y2[1] (closed_form) -0.47813569230588476 y2[1] (numeric) -0.478135692306048 absolute error 1.6325829577112927e-13 relative error 3.4144762333845107e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.878285978336881 y1[1] (numeric) -0.8782859783367785 absolute error 1.0258460747536446e-13 relative error 1.1680091679206616e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.6501280154847993 y2[1] (closed_form) -0.48689846886787225 y2[1] (numeric) -0.4868984688680362 absolute error 1.6397994073713562e-13 relative error 3.3678467118292425e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.8734585742976719 y1[1] (numeric) -0.8734585742975675 absolute error 1.0447198661722723e-13 relative error 1.1960725979618526e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.6601325603359967 y2[1] (closed_form) -0.4956125117217794 y2[1] (numeric) -0.49561251172194426 absolute error 1.6486811915683575e-13 relative error 3.3265528060233336e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.8685437457174101 y1[1] (numeric) -0.868543745717304 absolute error 1.0613732115416497e-13 relative error 1.2220146846661867e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.670137105187194 y2[1] (closed_form) -0.5042769486783352 y2[1] (numeric) -0.5042769486785011 absolute error 1.659783421814609e-13 relative error 3.291412439463579e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.8635419845216952 y1[1] (numeric) -0.8635419845215873 absolute error 1.0791367799356522e-13 relative error 1.2496633623822844e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.6801416500383914 y2[1] (closed_form) -0.512890912513327 y2[1] (numeric) -0.512890912513494 absolute error 1.6697754290362354e-13 relative error 3.255615157721961e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.8584537913372198 y1[1] (numeric) -0.8584537913371103 absolute error 1.0946799022804043e-13 relative error 1.2751762684572847e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.6899848312629566 y2[1] (closed_form) -0.5213158459631766 y2[1] (numeric) -0.5213158459633446 absolute error 1.6797674362578618e-13 relative error 3.222168382690046e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.8533638079668586 y1[1] (numeric) -0.8533638079667474 absolute error 1.1124434706744069e-13 relative error 1.3035981374987137e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.699989376114154 y2[1] (closed_form) -0.52982713076067 y2[1] (numeric) -0.5298271307608391 absolute error 1.6908696665041134e-13 relative error 3.191361046529536e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.8481056605812249 y1[1] (numeric) -0.8481056605811119 absolute error 1.1302070390684094e-13 relative error 1.332625274890695e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.7099939209653514 y2[1] (closed_form) -0.5382853851167584 y2[1] (numeric) -0.5382853851169288 absolute error 1.7041923427996153e-13 relative error 3.16596435630509e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.8427626262297724 y1[1] (numeric) -0.8427626262296574 absolute error 1.1501910535116622e-13 relative error 1.3647864982542212e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.719998465816549 y2[1] (closed_form) -0.5466897624440625 y2[1] (numeric) -0.5466897624442342 absolute error 1.716404796070492e-13 relative error 3.1396322265063726e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.837335239697252 y1[1] (numeric) -0.8373352396971352 absolute error 1.1679546219056647e-13 relative error 1.3948470893545003e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.730003010667746 y2[1] (closed_form) -0.5550394215477598 y2[1] (numeric) -0.5550394215479321 absolute error 1.723066134218243e-13 relative error 3.104403160073518e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.8318240442112312 y1[1] (numeric) -0.8318240442111131 absolute error 1.1812772982011666e-13 relative error 1.4201047762706846e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.7400075555189436 y2[1] (closed_form) -0.5633335267097785 y2[1] (numeric) -0.5633335267099515 absolute error 1.729727472365994e-13 relative error 3.070521086271375e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.8262295913877227 y1[1] (numeric) -0.826229591387603 absolute error 1.1968204205459188e-13 relative error 1.4485325060020633e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.750012100370141 y2[1] (closed_form) -0.5715712477724463 y2[1] (numeric) -0.57157124777262 absolute error 1.73749903353837e-13 relative error 3.039864304423693e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.8205524411759731 y1[1] (numeric) -0.820552441175851 absolute error 1.2212453270876722e-13 relative error 1.4883208748211714e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.7600166452213384 y2[1] (closed_form) -0.5797517602215795 y2[1] (numeric) -0.5797517602217548 absolute error 1.7530421558831222e-13 relative error 3.023780652624693e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.8147931618024173 y1[1] (numeric) -0.8147931618022937 absolute error 1.2367884494324244e-13 relative error 1.5179170707526612e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.7700211900725358 y2[1] (closed_form) -0.5878742452690096 y2[1] (numeric) -0.5878742452691859 absolute error 1.7630341631047486e-13 relative error 2.998998811893842e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.8089523297138048 y1[1] (numeric) -0.8089523297136794 absolute error 1.254552017826427e-13 relative error 1.5508355334983317e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.780025734923733 y2[1] (closed_form) -0.5959378899345351 y2[1] (numeric) -0.5959378899347128 absolute error 1.7763568394002505e-13 relative error 2.980775126742464e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.8030305295195034 y1[1] (numeric) -0.8030305295193763 absolute error 1.2712053631958042e-13 relative error 1.583010005804431e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.7900302797749306 y2[1] (closed_form) -0.6039418871272938 y2[1] (numeric) -0.6039418871274722 absolute error 1.7841284005726266e-13 relative error 2.954139195509357e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.7970283539329848 y1[1] (numeric) -0.797028353932856 absolute error 1.2878587085651816e-13 relative error 1.6158254624320008e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.800034824626128 y2[1] (closed_form) -0.6118854357265435 y2[1] (numeric) -0.611885435726723 absolute error 1.795230630818878e-13 relative error 2.933932605680095e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.7909464037125006 y1[1] (numeric) -0.79094640371237 absolute error 1.305622276959184e-13 relative error 1.6507089112877008e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.8100393694773254 y2[1] (closed_form) -0.619767740661847 y2[1] (numeric) -0.6197677406620274 absolute error 1.8041124150158794e-13 relative error 2.9109492099238274e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.7847852876009525 y1[1] (numeric) -0.7847852876008197 absolute error 1.3278267374516872e-13 relative error 1.691961812269422e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.8200439143285227 y2[1] (closed_form) -0.6275880129926503 y2[1] (numeric) -0.627588012992832 absolute error 1.816324868286756e-13 relative error 2.8941356920212992e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.778545622264962 y1[1] (numeric) -0.7785456222648275 absolute error 1.3455903058456897e-13 relative error 1.7283384137862967e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.83004845917972 y2[1] (closed_form) -0.6353454699872483 y2[1] (numeric) -0.6353454699874308 absolute error 1.8252066524837574e-13 relative error 2.8727782579773334e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.7722280322331498 y1[1] (numeric) -0.7722280322330138 absolute error 1.3600232051658168e-13 relative error 1.7611678783957957e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.8400530040309175 y2[1] (closed_form) -0.6430393352011274 y2[1] (numeric) -0.6430393352013114 absolute error 1.8396395518038844e-13 relative error 2.8608507304276944e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.7658331498336254 y1[1] (numeric) -0.7658331498334873 absolute error 1.3811174426336947e-13 relative error 1.8034182026904135e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.850057548882115 y2[1] (closed_form) -0.6506688385546815 y2[1] (numeric) -0.6506688385548662 absolute error 1.8474111129762605e-13 relative error 2.839249405396269e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.7593616151306977 y1[1] (numeric) -0.7593616151305576 absolute error 1.4011014570769476e-13 relative error 1.845104399747407e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.8600620937333123 y2[1] (closed_form) -0.6582332164102876 y2[1] (numeric) -0.6582332164104736 absolute error 1.8596235662471372e-13 relative error 2.825174299754577e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.7528140758608114 y1[1] (numeric) -0.7528140758606694 absolute error 1.4199752484955752e-13 relative error 1.8862230317251877e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.8700666385845097 y2[1] (closed_form) -0.6657317116487398 y2[1] (numeric) -0.6657317116489266 absolute error 1.8685053504441385e-13 relative error 2.8066942249402993e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.7461911873677142 y1[1] (numeric) -0.7461911873675702 absolute error 1.439959262938828e-13 relative error 1.929745737172896e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.880071183435707 y2[1] (closed_form) -0.6731635737450284 y2[1] (numeric) -0.6731635737452162 absolute error 1.8773871346411397e-13 relative error 2.7889018477286627e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.7394936125368641 y1[1] (numeric) -0.7394936125367185 absolute error 1.4555023852835802e-13 relative error 1.9682419977779358e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.8900757282869045 y2[1] (closed_form) -0.6805280588434608 y2[1] (numeric) -0.6805280588436496 absolute error 1.8884893648873913e-13 relative error 2.7750352690774107e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.7327220217290805 y1[1] (numeric) -0.7327220217289333 absolute error 1.4721557306529576e-13 relative error 2.0091599365049223e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.900080273138102 y2[1] (closed_form) -0.6878244298321131 y2[1] (numeric) -0.6878244298323026 absolute error 1.8951507030351422e-13 relative error 2.7552826285884002e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.7258770927134486 y1[1] (numeric) -0.7258770927132989 absolute error 1.496580637194711e-13 relative error 2.0617548786396403e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.9100848179892993 y2[1] (closed_form) -0.695051956416609 y2[1] (numeric) -0.6950519564167997 absolute error 1.907363156306019e-13 relative error 2.7442022696253798e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.7189595105994803 y1[1] (numeric) -0.7189595105993284 absolute error 1.5187850976872141e-13 relative error 2.112476537685448e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.9200893628404967 y2[1] (closed_form) -0.7022099151932139 y2[1] (numeric) -0.7022099151934058 absolute error 1.9195756095768957e-13 relative error 2.733620770718856e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.7119699677685425 y1[1] (numeric) -0.7119699677683887 absolute error 1.5376588891058418e-13 relative error 2.1597243686066912e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.930093907691694 y2[1] (closed_form) -0.7092975897212408 y2[1] (numeric) -0.7092975897214339 absolute error 1.9306778398231472e-13 relative error 2.721957423515168e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.704909163804556 y1[1] (numeric) -0.7049091638044005 absolute error 1.5554224574998443e-13 relative error 2.2065572947085458e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.9400984525428915 y2[1] (closed_form) -0.7163142705947593 y2[1] (numeric) -0.7163142705949537 absolute error 1.944000516118649e-13 relative error 2.713893322974755e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.6977778054239745 y1[1] (numeric) -0.6977778054238171 absolute error 1.574296248918472e-13 relative error 2.256156955238665e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.950102997394089 y2[1] (closed_form) -0.7232592555135993 y2[1] (numeric) -0.7232592555137946 absolute error 1.9528823003156504e-13 relative error 2.7001138048746766e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.690576606405049 y1[1] (numeric) -0.6905766064048897 absolute error 1.5931700403370996e-13 relative error 2.3070142045944802e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.9601075422452863 y2[1] (closed_form) -0.7301318493536453 y2[1] (numeric) -0.7301318493538411 absolute error 1.9584334154387761e-13 relative error 2.6823010353164213e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.683306287516386 y1[1] (numeric) -0.6833062875162244 absolute error 1.616484723854228e-13 relative error 2.3656810326298423e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.9701120870964837 y2[1] (closed_form) -0.7369313642364103 y2[1] (numeric) -0.7369313642366072 absolute error 1.9695356456850277e-13 relative error 2.672617480090308e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.675967576444805 y1[1] (numeric) -0.6759675764446413 absolute error 1.6364687382974807e-13 relative error 2.4209278600378312e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.980116631947681 y2[1] (closed_form) -0.7436571195978866 y2[1] (numeric) -0.7436571195980844 absolute error 1.978417429882029e-13 relative error 2.6603892812211724e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.6685612077225052 y1[1] (numeric) -0.6685612077223397 absolute error 1.6542323066914832e-13 relative error 2.474316917559018e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.9901211767988785 y2[1] (closed_form) -0.7503084422566629 y2[1] (numeric) -0.7503084422568619 absolute error 1.9895196601282805e-13 relative error 2.6516023918703457e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.6610879226535453 y1[1] (numeric) -0.661087922653378 absolute error 1.673106098110111e-13 relative error 2.530837488899236e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.000125721650076 y2[1] (closed_form) -0.7568846664813037 y2[1] (numeric) -0.7568846664815033 absolute error 1.9961809982760315e-13 relative error 2.6373648280604196e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.6535484692396468 y1[1] (numeric) -0.6535484692394782 absolute error 1.6864287744056128e-13 relative error 2.580418827034577e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.010130266501274 y2[1] (closed_form) -0.763385134056981 y2[1] (numeric) -0.7633851340571819 absolute error 2.0083934515469082e-13 relative error 2.6309045879284786e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.6459436021053271 y1[1] (numeric) -0.6459436021051569 absolute error 1.701971896750365e-13 relative error 2.6348614510665014e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.020134811352471 y2[1] (closed_form) -0.769809194351357 y2[1] (numeric) -0.7698091943515588 absolute error 2.0183854587685346e-13 relative error 2.6219295295235215e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.638274082422367 y1[1] (numeric) -0.6382740824221946 absolute error 1.724176357242868e-13 relative error 2.7013103065368142e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.0301393562036685 y2[1] (closed_form) -0.7761562043797047 y2[1] (numeric) -0.7761562043799072 absolute error 2.0250467969162855e-13 relative error 2.609071196608781e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.6305406778336272 y1[1] (numeric) -0.6305406778334529 absolute error 1.7430501486614958e-13 relative error 2.764373830170894e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.040143901054866 y2[1] (closed_form) -0.7824255288692645 y2[1] (numeric) -0.7824255288694675 absolute error 2.0294876890147862e-13 relative error 2.5938413486427706e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.6227441623762133 y1[1] (numeric) -0.6227441623760371 absolute error 1.7619239400801234e-13 relative error 2.8292901748883946e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.049987082279431 y2[1] (closed_form) -0.7885173099315566 y2[1] (numeric) -0.7885173099317606 absolute error 2.0405899192610377e-13 relative error 2.5878822107762748e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.6150125624231603 y1[1] (numeric) -0.6150125624229823 absolute error 1.779687508474126e-13 relative error 2.893741717180745e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.0599916271306284 y2[1] (closed_form) -0.7946306666735351 y2[1] (numeric) -0.7946306666737404 absolute error 2.0528023725319144e-13 relative error 2.583341492627398e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.6070931588990056 y1[1] (numeric) -0.6070931588988261 absolute error 1.795230630818878e-13 relative error 2.95709250632081e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.069996171981826 y2[1] (closed_form) -0.8006644887662645 y2[1] (numeric) -0.8006644887664707 absolute error 2.0616841567289157e-13 relative error 2.5749664006027583e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.5991129913702893 y1[1] (numeric) -0.5991129913701078 absolute error 1.815214645262131e-13 relative error 3.029836894557032e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.080000716833023 y2[1] (closed_form) -0.8066181722839919 y2[1] (numeric) -0.8066181722841994 absolute error 2.0750068330244176e-13 relative error 2.572477169896756e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.5910728585726402 y1[1] (numeric) -0.5910728585724566 absolute error 1.836308882730009e-13 relative error 3.1067386297595233e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.090005261684221 y2[1] (closed_form) -0.8124911213220406 y2[1] (numeric) -0.8124911213222491 absolute error 2.084998840246044e-13 relative error 2.566180460967314e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.5829735652436164 y1[1] (numeric) -0.5829735652434306 absolute error 1.858513343222512e-13 relative error 3.18798905134895e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.100009806535418 y2[1] (closed_form) -0.8182827480564552 y2[1] (numeric) -0.8182827480566647 absolute error 2.0949908474676704e-13 relative error 2.5602285425711215e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.5748159220421577 y1[1] (numeric) -0.5748159220419697 absolute error 1.87960758069039e-13 relative error 3.269929569822419e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.110014351386615 y2[1] (closed_form) -0.8239924728028357 y2[1] (numeric) -0.8239924728030462 absolute error 2.1049828546892968e-13 relative error 2.5546141793372613e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.5666007454674481 y1[1] (numeric) -0.566600745467258 absolute error 1.900701818158268e-13 relative error 3.3545699213476693e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.120018896237813 y2[1] (closed_form) -0.8296197240743597 y2[1] (numeric) -0.8296197240745712 absolute error 2.1149748619109232e-13 relative error 2.549330495090008e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.5583288577771914 y1[1] (numeric) -0.558328857776999 absolute error 1.9240165016753963e-13 relative error 3.4460273275776135e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.13002344108901 y2[1] (closed_form) -0.8351639386389811 y2[1] (numeric) -0.8351639386391937 absolute error 2.1260770921571748e-13 relative error 2.545700303609757e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.5500010869053117 y1[1] (numeric) -0.5500010869051171 absolute error 1.9462209621678994e-13 relative error 3.538576574673136e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.140027985940208 y2[1] (closed_form) -0.8406245615758049 y2[1] (numeric) -0.8406245615760183 absolute error 2.1338486533295509e-13 relative error 2.538408643841567e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.5416182663790853 y1[1] (numeric) -0.5416182663788884 absolute error 1.9684254226604025e-13 relative error 3.634340909179524e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.150032530791405 y2[1] (closed_form) -0.8460010463306291 y2[1] (numeric) -0.8460010463308432 absolute error 2.1405099914773018e-13 relative error 2.5301505249448122e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.533181235235713 y1[1] (numeric) -0.5331812352355142 absolute error 1.9884094371036554e-13 relative error 3.729331239919956e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.160037075642602 y2[1] (closed_form) -0.8512928547706491 y2[1] (numeric) -0.8512928547708642 absolute error 2.1516122217235534e-13 relative error 2.5274642088981584e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.5246908379383411 y1[1] (numeric) -0.5246908379381399 absolute error 2.0128343436454088e-13 relative error 3.8362292575079164e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.1700416204938 y2[1] (closed_form) -0.85649945723832 y2[1] (numeric) -0.856499457238536 absolute error 2.1604940059205546e-13 relative error 2.5224697898663114e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.5161479242915381 y1[1] (numeric) -0.5161479242913343 absolute error 2.0383694732117874e-13 relative error 3.94919630067222e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.180046165344997 y2[1] (closed_form) -0.8616203326043693 y2[1] (numeric) -0.8616203326045866 absolute error 2.1727064591914313e-13 relative error 2.5216517960110327e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.5075533493562386 y1[1] (numeric) -0.5075533493560325 absolute error 2.0616841567289157e-13 relative error 4.062004830317596e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.190050710196195 y2[1] (closed_form) -0.8666549683199576 y2[1] (numeric) -0.8666549683201757 absolute error 2.1815882433884326e-13 relative error 2.5172511819986695e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.49890797336415993 y1[1] (numeric) -0.49890797336395165 absolute error 2.0827783941967937e-13 relative error 4.174674499893279e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.200055255047392 y2[1] (closed_form) -0.8716028604679791 y2[1] (numeric) -0.871602860468198 absolute error 2.1893598045608087e-13 relative error 2.5118777184660712e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.4902126616317011 y1[1] (numeric) -0.49021266163149063 absolute error 2.1044277431769842e-13 relative error 4.2928873688661473e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.210059799898589 y2[1] (closed_form) -0.8764635138134987 y2[1] (numeric) -0.8764635138137189 absolute error 2.2015722578316854e-13 relative error 2.51188123993049e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.4814682844733337 y1[1] (numeric) -0.481468284473121 absolute error 2.1266322036694874e-13 relative error 4.416972565484263e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.220064344749787 y2[1] (closed_form) -0.8812364418533206 y2[1] (numeric) -0.8812364418535413 absolute error 2.2071233729548112e-13 relative error 2.504575694024897e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.47267571711449186 y1[1] (numeric) -0.4726757171142771 absolute error 2.1477264411373653e-13 relative error 4.54376301420439e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.230068889600984 y2[1] (closed_form) -0.8859211668646818 y2[1] (numeric) -0.8859211668649039 absolute error 2.220446049250313e-13 relative error 2.5063697903376436e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.46383583960397085 y1[1] (numeric) -0.4638358396037539 absolute error 2.169375790117556e-13 relative error 4.677033564223492e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.2400734344521815 y2[1] (closed_form) -0.890517219953068 y2[1] (numeric) -0.8905172199532909 absolute error 2.2293278334473143e-13 relative error 2.5034078886928254e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.4549495367258429 y1[1] (numeric) -0.4549495367256238 absolute error 2.1904700275854339e-13 relative error 4.814753836985294e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.250077979303379 y2[1] (closed_form) -0.8950241410991449 y2[1] (numeric) -0.8950241410993686 absolute error 2.2370993946196904e-13 relative error 2.4994849768771538e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.4460176979108992 y1[1] (numeric) -0.4460176979106778 absolute error 2.2137847111025621e-13 relative error 4.96344589345154e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.260082524154576 y2[1] (closed_form) -0.8994414792048013 y2[1] (numeric) -0.8994414792050259 absolute error 2.2459811788166917e-13 relative error 2.4970842803495895e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.43704121714762656 y1[1] (numeric) -0.437041217147403 absolute error 2.2354340600827527e-13 relative error 5.114927316632595e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.270087069005774 y2[1] (closed_form) -0.9037687921383007 y2[1] (numeric) -0.9037687921385262 absolute error 2.254862963013693e-13 relative error 2.4949555490610906e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.42802099289272816 y1[1] (numeric) -0.42802099289250234 absolute error 2.2581936320875684e-13 relative error 5.2758945696234185e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.280091613856971 y2[1] (closed_form) -0.9080056467785331 y2[1] (numeric) -0.90800564677876 absolute error 2.2681856393091948e-13 relative error 2.497986270632099e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.41895792798119685 y1[1] (numeric) -0.4189579279809687 absolute error 2.2815083156046967e-13 relative error 5.4456740479848194e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.2900961587081685 y2[1] (closed_form) -0.9121516190583665 y2[1] (numeric) -0.912151619058595 absolute error 2.284838984678572e-13 relative error 2.5048894689648854e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.4098529295359503 y1[1] (numeric) -0.4098529295357198 absolute error 2.3053781106341376e-13 relative error 5.6248911365458984e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.300100703559366 y2[1] (closed_form) -0.916206294007092 y2[1] (numeric) -0.9162062940073215 absolute error 2.2948309919001986e-13 relative error 2.5047099184001405e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.4007069088770371 y1[1] (numeric) -0.40070690887680444 absolute error 2.3264723481020155e-13 relative error 5.805920228882124e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.310105248410563 y2[1] (closed_form) -0.9201692657919581 y2[1] (numeric) -0.9201692657921886 absolute error 2.304822999121825e-13 relative error 2.5047815492274055e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.3915207814304226 y1[1] (numeric) -0.3915207814301875 absolute error 2.3514523661560816e-13 relative error 6.005945221004723e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.320109793261761 y2[1] (closed_form) -0.9240401377587907 y2[1] (numeric) -0.9240401377590219 absolute error 2.312594560294201e-13 relative error 2.5026992506010335e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.3822954666363639 y1[1] (numeric) -0.38229546663612646 absolute error 2.3742119381608973e-13 relative error 6.210410913449902e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.330114338112958 y2[1] (closed_form) -0.9278185224716938 y2[1] (numeric) -0.9278185224719259 absolute error 2.320366121466577e-13 relative error 2.5008835944395232e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.37303188785738284 y1[1] (numeric) -0.373031887857143 absolute error 2.3986368447026507e-13 relative error 6.430112070257369e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.3401188829641555 y2[1] (closed_form) -0.9315040417518287 y2[1] (numeric) -0.9315040417520616 absolute error 2.3292479056635784e-13 relative error 2.500523670603822e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.3637309722858467 y1[1] (numeric) -0.3637309722856044 absolute error 2.423061751244404e-13 relative error 6.661686619692598e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.350123427815353 y2[1] (closed_form) -0.9350963267152653 y2[1] (numeric) -0.9350963267154989 absolute error 2.3359092438113294e-13 relative error 2.498041300212067e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.35439365085116553 y1[1] (numeric) -0.35439365085092117 absolute error 2.4436008771999695e-13 relative error 6.895159863420372e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.36012797266655 y2[1] (closed_form) -0.9385950178099041 y2[1] (numeric) -0.9385950178101387 absolute error 2.345901251032956e-13 relative error 2.4993753498786172e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.3450208581266152 y1[1] (numeric) -0.3450208581263684 absolute error 2.468025783741723e-13 relative error 7.153265449348603e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.370132517517748 y2[1] (closed_form) -0.9419997648514634 y2[1] (numeric) -0.9419997648516991 absolute error 2.3570034812792073e-13 relative error 2.5021274624743296e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.33561353223579576 y1[1] (numeric) -0.33561353223554646 absolute error 2.493005801795789e-13 relative error 7.428204057172075e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.380137062368945 y2[1] (closed_form) -0.9453102270585302 y2[1] (numeric) -0.9453102270587667 absolute error 2.3647750424515834e-13 relative error 2.5015862250955687e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.326172614758735 y1[1] (numeric) -0.32617261475848347 absolute error 2.515210262288292e-13 relative error 7.71128582989334e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.3901416072201425 y2[1] (closed_form) -0.9485260730866676 y2[1] (numeric) -0.948526073086905 absolute error 2.3736568266485847e-13 relative error 2.5024687185712202e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.3166990506376451 y1[1] (numeric) -0.316699050637391 absolute error 2.5407453918546707e-13 relative error 8.022586069453344e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.399984788444708 y2[1] (closed_form) -0.951597398768475 y2[1] (numeric) -0.9515973987687135 absolute error 2.384759056894836e-13 relative error 2.5060588227554112e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.30734734529042534 y1[1] (numeric) -0.30734734529016877 absolute error 2.565725409908737e-13 relative error 8.347966719817526e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.409989333295905 y2[1] (closed_form) -0.9546245950439213 y2[1] (numeric) -0.9546245950441603 absolute error 2.390310172017962e-13 relative error 2.5039268676164648e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.2978118240386524 y1[1] (numeric) -0.29781182403839335 absolute error 2.590705427962803e-13 relative error 8.699135557581354e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.419993878147102 y2[1] (closed_form) -0.9575562428645751 y2[1] (numeric) -0.9575562428648154 absolute error 2.403632848313464e-13 relative error 2.51017406677114e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.2882464947767428 y1[1] (numeric) -0.28824649477648145 absolute error 2.6134649999676185e-13 relative error 9.06677113972137e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.4299984229983 y2[1] (closed_form) -0.9603920488015633 y2[1] (numeric) -0.9603920488018048 absolute error 2.4158453015843406e-13 relative error 2.5154782409943754e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.2786523148992946 y1[1] (numeric) -0.2786523148990309 absolute error 2.636779683484747e-13 relative error 9.462615390213727e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.440002967849497 y2[1] (closed_form) -0.9631317290188347 y2[1] (numeric) -0.9631317290190771 absolute error 2.4236168627567167e-13 relative error 2.5163918805018635e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.2690302446885665 y1[1] (numeric) -0.26903024468830045 absolute error 2.6606494785141876e-13 relative error 9.889778309476676e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.450007512700695 y2[1] (closed_form) -0.9657750093015695 y2[1] (numeric) -0.9657750093018128 absolute error 2.433608869978343e-13 relative error 2.5198507380495212e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.259381247218363 y1[1] (numeric) -0.25938124721809436 absolute error 2.686184608080566e-13 relative error 1.0356124958483108e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.460012057551892 y2[1] (closed_form) -0.968321625083625 y2[1] (numeric) -0.9683216250838694 absolute error 2.4447111002245947e-13 relative error 2.524689149654659e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.24970628825764 y1[1] (numeric) -0.2497062882573687 absolute error 2.71282996067157e-13 relative error 1.0864083478236429e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.470016602403089 y2[1] (closed_form) -0.9707713214740169 y2[1] (numeric) -0.9707713214742625 absolute error 2.4558133304708463e-13 relative error 2.529754717869029e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.24000633617384132 y1[1] (numeric) -0.24000633617356762 absolute error 2.736977311457167e-13 relative error 1.1403771063255266e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.480021147254287 y2[1] (closed_form) -0.9731238532824305 y2[1] (numeric) -0.9731238532826769 absolute error 2.4646951146678475e-13 relative error 2.5327661081929282e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.23028236183597459 y1[1] (numeric) -0.2302823618356984 absolute error 2.761957329511233e-13 relative error 1.1993785835315162e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.490025692105484 y2[1] (closed_form) -0.9753789850437622 y2[1] (numeric) -0.9753789850440095 absolute error 2.473576898864849e-13 relative error 2.536016191443644e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.22053533851743667 y1[1] (numeric) -0.22053533851715795 absolute error 2.7872149033214555e-13 relative error 1.2638404901720927e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.500030236956682 y2[1] (closed_form) -0.9775364910416872 y2[1] (numeric) -0.9775364910419354 absolute error 2.48245868306185e-13 relative error 2.5395048735382556e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.2107662417985989 y1[1] (numeric) -0.21076624179831768 absolute error 2.8121949213755215e-13 relative error 1.3342719865275009e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.510034781807879 y2[1] (closed_form) -0.9795961553312514 y2[1] (numeric) -0.9795961553315007 absolute error 2.4924506902834764e-13 relative error 2.5443655293243283e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.20097604946916112 y1[1] (numeric) -0.20097604946887734 absolute error 2.8377300509419e-13 relative error 1.4119742419244525e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.520039326659076 y2[1] (closed_form) -0.9815577717604856 y2[1] (numeric) -0.9815577717607357 absolute error 2.5002222514558525e-13 relative error 2.5471982631970267e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.1911657414302845 y1[1] (numeric) -0.19116574142999818 absolute error 2.8632651805082787e-13 relative error 1.49779199928062e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.530043871510274 y2[1] (closed_form) -0.9834211439910389 y2[1] (numeric) -0.9834211439912899 absolute error 2.510214258677479e-13 relative error 2.552532324544318e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.18133629959651326 y1[1] (numeric) -0.1813362995962245 absolute error 2.887690087050032e-13 relative error 1.5924501015380578e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.540048416361471 y2[1] (closed_form) -0.9851860855178302 y2[1] (numeric) -0.9851860855180821 absolute error 2.51909604287448e-13 relative error 2.5569748496299574e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.17148870779749478 y1[1] (numeric) -0.17148870779720343 absolute error 2.913502772372567e-13 relative error 1.6989473008409534e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.550052961212669 y2[1] (closed_form) -0.9868524196877161 y2[1] (numeric) -0.9868524196879688 absolute error 2.5268676040468563e-13 relative error 2.5605324095435357e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.1616239516795079 y1[1] (numeric) -0.16162395167921392 absolute error 2.9398705692074145e-13 relative error 1.8189572391083647e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.560057506063866 y2[1] (closed_form) -0.9884199797171713 y2[1] (numeric) -0.9884199797174249 absolute error 2.5357493882438575e-13 relative error 2.5654574374037263e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.1517430186068096 y1[1] (numeric) -0.15174301860651312 absolute error 2.9648505872614805e-13 relative error 1.9538629285765574e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.570062050915063 y2[1] (closed_form) -0.9898886087089829 y2[1] (numeric) -0.9898886087092376 absolute error 2.546851618490109e-13 relative error 2.5728668822765062e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.1418468975628096 y1[1] (numeric) -0.14184689756251062 absolute error 2.9898306053155466e-13 relative error 2.1077870976992316e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.580066595766261 y2[1] (closed_form) -0.9912581596679532 y2[1] (numeric) -0.9912581596682095 absolute error 2.5635049638594865e-13 relative error 2.5861123450607428e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.13193657905108294 y1[1] (numeric) -0.13193657905078143 absolute error 3.015088179125769e-13 relative error 2.2852556893705673e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.590071140617458 y2[1] (closed_form) -0.9925284955156133 y2[1] (numeric) -0.9925284955158706 absolute error 2.573496971081113e-13 relative error 2.5928696079845998e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.12201305499623033 y1[1] (numeric) -0.12201305499592621 absolute error 3.04117842020446e-13 relative error 2.4925024787703405e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.6000756854686555 y2[1] (closed_form) -0.9936994891039431 y2[1] (numeric) -0.9936994891042015 absolute error 2.5834889783027393e-13 relative error 2.5998694843170043e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.11207731864459643 y1[1] (numeric) -0.11207731864428969 absolute error 3.0674074391612294e-13 relative error 2.736867259367753e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.610080230319853 y2[1] (closed_form) -0.9947710232280973 y2[1] (numeric) -0.9947710232283565 absolute error 2.5923707624997405e-13 relative error 2.6059974626998354e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.10213036446485568 y1[1] (numeric) -0.1021303644645464 absolute error 3.09280379084953e-13 relative error 3.028290173108901e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.62008477517105 y2[1] (closed_form) -0.9957429906381366 y2[1] (numeric) -0.9957429906383967 absolute error 2.6001423236721166e-13 relative error 2.6112584754483453e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.09217318804847588 y1[1] (numeric) -0.09217318804816392 absolute error 3.1195879213186117e-13 relative error 3.3844852145918535e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.630089320022248 y2[1] (closed_form) -0.9966152940497626 y2[1] (numeric) -0.9966152940500236 absolute error 2.610134330893743e-13 relative error 2.618998871959329e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.0822067860100693 y1[1] (numeric) -0.08220678600975473 absolute error 3.145678162397303e-13 relative error 3.826543178578952e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.640093864873445 y2[1] (closed_form) -0.9973878461540543 y2[1] (numeric) -0.9973878461543167 absolute error 2.62456723021387e-13 relative error 2.6314409588348696e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.07223215588764154 y1[1] (numeric) -0.07223215588732432 absolute error 3.1721847371102285e-13 relative error 4.3916517486265e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.6500984097246425 y2[1] (closed_form) -0.9980605696262077 y2[1] (numeric) -0.9980605696264712 absolute error 2.6345592374354965e-13 relative error 2.6396787105037004e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.062250296042747774 y1[1] (numeric) -0.06225029604242788 absolute error 3.1989688675793104e-13 relative error 5.138881372359343e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.66010295457584 y2[1] (closed_form) -0.9986333971332748 y2[1] (numeric) -0.9986333971335393 absolute error 2.644551244657123e-13 relative error 2.6481702417010077e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.0522622055605667 y1[1] (numeric) -0.05226220556024415 absolute error 3.225544831231275e-13 relative error 6.171849803570171e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.670107499427037 y2[1] (closed_form) -0.999106271340903 y2[1] (numeric) -0.9991062713411688 absolute error 2.657873920952625e-13 relative error 2.6602514639263405e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.042268884149902035 y1[1] (numeric) -0.042268884149576816 absolute error 3.252190183822279e-13 relative error 7.694052609216599e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.680112044278235 y2[1] (closed_form) -0.9994791449190736 y2[1] (numeric) -0.9994791449193405 absolute error 2.6689761511988763e-13 relative error 2.670367025432011e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.03227133204312154 y1[1] (numeric) -0.03227133204279363 absolute error 3.279113092169439e-13 relative error 1.016107140476206e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.690116589129432 y2[1] (closed_form) -0.9997519805468393 y2[1] (numeric) -0.9997519805471073 absolute error 2.680078381445128e-13 relative error 2.6807432579220218e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.022270549896043722 y1[1] (numeric) -0.022270549895713115 absolute error 3.3060706949861185e-13 relative error 1.484503395928014e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.7001211339806295 y2[1] (closed_form) -0.9999247509160596 y2[1] (numeric) -0.9999247509163286 absolute error 2.6900703886667543e-13 relative error 2.6902728292327037e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.012267538687782064 y1[1] (numeric) -0.012267538687448756 absolute error 3.3330803395070774e-13 relative error 2.7169919120179184e-09% Desired digits 8 Estimated correct digits 9 Correct digits 11 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.710125678831827 y2[1] (closed_form) -0.9999974387341337 y2[1] (numeric) -0.9999974387344043 absolute error 2.7056135110115065e-13 relative error 2.7056204408247887e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) -0.0022632996205569893 y1[1] (numeric) -0.002263299620220967 absolute error 3.3602244250974245e-13 relative error 1.4846573536165248e-08% Desired digits 8 Estimated correct digits 9 Correct digits 10 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.720130223683024 y2[1] (closed_form) -0.9999700367257321 y2[1] (numeric) -0.9999700367260033 absolute error 2.7111646261346323e-13 relative error 2.711245863938061e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) 0.007741165980514583 y1[1] (numeric) 0.007741165980853335 absolute error 3.3875159621832296e-13 relative error 4.3759763977545526e-09% Desired digits 8 Estimated correct digits 9 Correct digits 11 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.730134768534222 y2[1] (closed_form) -0.9998425476335241 y2[1] (numeric) -0.9998425476337961 absolute error 2.7200464103316335e-13 relative error 2.720474755519828e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) 0.017744856767641943 y1[1] (numeric) 0.01774485676798343 absolute error 3.414872551399384e-13 relative error 1.924429481801433e-09% Desired digits 8 Estimated correct digits 9 Correct digits 11 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.740139313385419 y2[1] (closed_form) -0.9996149842179033 y2[1] (numeric) -0.9996149842181761 absolute error 2.7278179715040096e-13 relative error 2.7288686289934405e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) 0.027746771470585564 y1[1] (numeric) 0.027746771470929795 absolute error 3.442315876789337e-13 relative error 1.2406185276144817e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.7501438582366164 y2[1] (closed_form) -0.9992873692557109 y2[1] (numeric) -0.9992873692559853 absolute error 2.743361093848762e-13 relative error 2.7453174914960363e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) 0.03774590899687435 y1[1] (numeric) 0.03774590899722134 absolute error 3.4699326745268877e-13 relative error 9.192870874600542e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.759987039461182 y2[1] (closed_form) -0.9988674262378879 y2[1] (numeric) -0.9988674262381634 absolute error 2.7544633240950134e-13 relative error 2.7575864942051046e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) 0.047580088281732366 y1[1] (numeric) 0.047580088282082086 absolute error 3.497202527569243e-13 relative error 7.35013879516474e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.769991584312379 y2[1] (closed_form) -0.9983414286897259 y2[1] (numeric) -0.9983414286900022 absolute error 2.7633451082920146e-13 relative error 2.7679359274098936e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) 0.0575707543962823 y1[1] (numeric) 0.05757075439663482 absolute error 3.525166270001989e-13 relative error 6.123189294579803e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.779996129163576 y2[1] (closed_form) -0.9977155070652705 y2[1] (numeric) -0.9977155070655482 absolute error 2.7777780076121417e-13 relative error 2.7841383520066104e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) 0.06755565824925594 y1[1] (numeric) 0.06755565824961128 absolute error 3.5534075681908917e-13 relative error 5.259970312301752e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.790000674014774 y2[1] (closed_form) -0.9969897240130691 y2[1] (numeric) -0.9969897240133482 absolute error 2.7911006839076435e-13 relative error 2.7995280359289404e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) 0.07753380045079958 y1[1] (numeric) 0.07753380045115772 absolute error 3.581440699562677e-13 relative error 4.6191992121363154e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.800005218865971 y2[1] (closed_form) -0.9961641521768074 y2[1] (numeric) -0.9961641521770873 absolute error 2.7988722450800196e-13 relative error 2.8096496335106552e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) 0.08750418228783373 y1[1] (numeric) 0.0875041822881947 absolute error 3.6097513866906183e-13 relative error 4.125232980084091e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.810009763717169 y2[1] (closed_form) -0.9952388741880391 y2[1] (numeric) -0.9952388741883199 absolute error 2.807754029277021e-13 relative error 2.8211860510048038e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) 0.09746580582401444 y1[1] (numeric) 0.09746580582437826 absolute error 3.638200851696638e-13 relative error 3.732797180444824e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.820014308568366 y2[1] (closed_form) -0.9942139826579146 y2[1] (numeric) -0.9942139826581966 absolute error 2.8199664825478976e-13 relative error 2.83637781376706e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) 0.10741767399961684 y1[1] (numeric) 0.10741767399998343 absolute error 3.665956427312267e-13 relative error 3.412805631338976e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.830018853419563 y2[1] (closed_form) -0.9930895801679119 y2[1] (numeric) -0.9930895801681955 absolute error 2.83550960489265e-13 relative error 2.8552405155768737e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) 0.11735879073133089 y1[1] (numeric) 0.11735879073170029 absolute error 3.693989558684052e-13 relative error 3.1476036312786236e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.840023398270761 y2[1] (closed_form) -0.9918657792595698 y2[1] (numeric) -0.9918657792598542 absolute error 2.844391389089651e-13 relative error 2.867718040653642e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) 0.12728816101195944 y1[1] (numeric) 0.12728816101233176 absolute error 3.7231329130804625e-13 relative error 2.92496402138346e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.850027943121958 y2[1] (closed_form) -0.9905427024232221 y2[1] (numeric) -0.9905427024235081 absolute error 2.859934511434403e-13 relative error 2.8872399992832007e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) 0.13720479101000863 y1[1] (numeric) 0.13720479101038402 absolute error 3.7539416020138106e-13 relative error 2.7360134980563275e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.860032487973156 y2[1] (closed_form) -0.9891204820857391 y2[1] (numeric) -0.989120482086026 absolute error 2.8688162956314045e-13 relative error 2.9003709331566843e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) 0.14710768816916053 y1[1] (numeric) 0.1471076881695387 absolute error 3.7816971776294395e-13 relative error 2.5706998897847064e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.870037032824353 y2[1] (closed_form) -0.9875992605972723 y2[1] (numeric) -0.9875992605975602 absolute error 2.878808302853031e-13 relative error 2.914955911481757e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) 0.1569958613076182 y1[1] (numeric) 0.1569958613079993 absolute error 3.811118087782006e-13 relative error 2.427527742476274e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.88004157767555 y2[1] (closed_form) -0.9859791902170065 y2[1] (numeric) -0.9859791902172956 absolute error 2.8910207561239076e-13 relative error 2.932131615767282e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) 0.16686832071731314 y1[1] (numeric) 0.1668683207176972 absolute error 3.840538997934573e-13 relative error 2.30153871113782e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.890046122526748 y2[1] (closed_form) -0.9842604330979201 y2[1] (numeric) -0.9842604330982104 absolute error 2.9032332093947844e-13 relative error 2.949659573591691e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) 0.17672407826296524 y1[1] (numeric) 0.17672407826335224 absolute error 3.8699599080871394e-13 relative error 2.1898317117425522e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.900050667377945 y2[1] (closed_form) -0.9824431612705556 y2[1] (numeric) -0.982443161270847 absolute error 2.913225216616411e-13 relative error 2.965286269435526e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) 0.18656214748098543 y1[1] (numeric) 0.18656214748137537 absolute error 3.899380818239706e-13 relative error 2.0901243209784204e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.9100552122291425 y2[1] (closed_form) -0.9805275566258008 y2[1] (numeric) -0.9805275566260931 absolute error 2.923217223838037e-13 relative error 2.981269831821387e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) 0.19638154367821073 y1[1] (numeric) 0.19638154367860364 absolute error 3.929079284148429e-13 relative error 2.0007375492406698e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.92005975708034 y2[1] (closed_form) -0.9785138108966832 y2[1] (numeric) -0.978513810896976 absolute error 2.927658115936538e-13 relative error 2.991943581515433e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) 0.20618128403046238 y1[1] (numeric) 0.20618128403085834 absolute error 3.959610417325621e-13 relative error 1.9204509448784915e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.930064301931537 y2[1] (closed_form) -0.9764021256391795 y2[1] (numeric) -0.9764021256394729 absolute error 2.9343194540842887e-13 relative error 3.0052366509990986e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) 0.21596038768091677 y1[1] (numeric) 0.2159603876813157 absolute error 3.9893088832343437e-13 relative error 1.847241026964899e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.940068846782735 y2[1] (closed_form) -0.9741927122120423 y2[1] (numeric) -0.9741927122123365 absolute error 2.942091015256665e-13 relative error 3.02002979325952e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) 0.2257178758382795 y1[1] (numeric) 0.22571787583868144 absolute error 4.019284904899223e-13 relative error 1.780667521334875e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.950073391633932 y2[1] (closed_form) -0.9718857917556444 y2[1] (numeric) -0.9718857917559395 absolute error 2.950972799453666e-13 relative error 3.03633701046595e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) 0.23545277187475272 y1[1] (numeric) 0.23545277187515753 absolute error 4.048150703539477e-13 relative error 1.7193047553896963e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.9600779364851295 y2[1] (closed_form) -0.9694815951698452 y2[1] (numeric) -0.9694815951701417 absolute error 2.964295475749168e-13 relative error 3.05760881951539e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) 0.2451641014237857 y1[1] (numeric) 0.24516410142419354 absolute error 4.0784042809605126e-13 relative error 1.6635405662065775e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.970082481336327 y2[1] (closed_form) -0.9669803630908804 y2[1] (numeric) -0.9669803630911781 absolute error 2.9765079290200447e-13 relative error 3.0781472330067385e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) 0.25485089247759946 y1[1] (numeric) 0.2548508924780103 absolute error 4.108380302625392e-13 relative error 1.612072166075112e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.980087026187524 y2[1] (closed_form) -0.964382345867276 y2[1] (numeric) -0.9643823458675743 absolute error 2.9831692671677956e-13 relative error 3.093347031861113e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) 0.26451217548447503 y1[1] (numeric) 0.2645121754848891 absolute error 4.1405767703395213e-13 relative error 1.565363394995231e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.990091571038722 y2[1] (closed_form) -0.9616878035347908 y2[1] (numeric) -0.9616878035350904 absolute error 2.9964919434632975e-13 relative error 3.1158676781065097e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 y1[1] (closed_form) 0.274146983445796 y1[1] (numeric) 0.2741469834462131 absolute error 4.1705527920044005e-13 relative error 1.521283487997597e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 Finished! diff ( y2 , x , 3 ) = neg ( cos ( x ) ) ; diff ( y1 , x , 1 ) = neg ( y2 ) ; Iterations 22740 Total Elapsed Time 2 Minutes 30 Seconds Elapsed Time(since restart) 2 Minutes 30 Seconds Time to Timeout 30.0 Seconds Percent Done 100.00525468401125%