##############ECHO OF PROBLEM################# ##############R:Temp/mtest6postode.ode################# diff ( x1 , t , 1 ) = 4.0 * x2 - 2.0 * diff ( x2 , t , 1 ) - 2.0 * x1 ; diff ( x2 , t , 2 ) = 3.0 * diff ( x2 , t , 1 ) - 2.0 * x2 - diff ( x1 , t , 2 ) - diff ( x1 , t , 1 ) + x1 ; ! #BEGIN FIRST INPUT BLOCK # Digits:=64; ELIMINATED in preodein.rb max_terms=40 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb t_start=c(1.5) # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb t_end=c(8.0) $array_x1_init[0 + 1] = exact_soln_x1(t_start) # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $array_x2_init[0 + 1] = exact_soln_x2(t_start) $array_x2_init[1 + 1] = exact_soln_x2p(t_start) $glob_look_poles=true $glob_max_h=c(0.0001) # 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=0 #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=12 $glob_max_minutes=(3.0) $glob_subiter_method=2 $glob_max_iter=1000000 $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) $glob_h_reason=1 #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_x1 (t) t = c(t) c1 = c(1.0); c2 = c(0.0002); c3 = c(0.0003); return(c(2.0) * c1 + c(6.0) * c3 * exp(neg(c(t)))) end def exact_soln_x1p (t) t = c(t) c1 = c(1.0); c2 = c(0.0002); c3 = c(0.0003); return( c(-6.0) * c3 * exp(neg( c(t)))) end def exact_soln_x2 (t) t = c(t) c1 = c(1.0); c2 = c(0.0002); c3 = c(0.0003); return(c1 + c2 * exp(c(2.0) * c(t)) + c3 * exp(neg( c(t)))) end def exact_soln_x2p (t) t = c(t) c1 = c(1.0); c2 = c(0.0002); c3 = c(0.0003); return( c(2.0) * c2 * exp(c(2.0) * c(t)) - c3 * exp(neg(c(t)))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop t[1] 1.5 x1[1] (closed_form) 2.0004016342882673 x1[1] (numeric) 2.0004016342882673 absolute error 0.0 relative error 0.0% Desired digits 12 Estimated correct digits 13 Correct digits 16 h 0.001 x2[1] (closed_form) 1.0040840464326821 x2[1] (numeric) 1.0040840464326821 absolute error 0.0 relative error 0.0% Desired digits 12 Estimated correct digits 13 Correct digits 16 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.509999999999999 x1[1] (closed_form) 2.0003976379603268 x1[1] (numeric) 2.000397597796564 absolute error 4.016376298210389e-08 relative error 2.007788962551277e-06% Desired digits 12 Estimated correct digits 12 Correct digits 8 h 0.001 x2[1] (closed_form) 1.0041645313302263 x2[1] (numeric) 1.00416455168121 absolute error 2.0350983787054133e-08 relative error 2.0266582967330057e-06% Desired digits 12 Estimated correct digits 12 Correct digits 8 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.5199999999999978 x1[1] (closed_form) 2.000393681396514 x1[1] (numeric) 2.0003935207374446 absolute error 1.6065906960349707e-07 relative error 8.031372579188403e-06% Desired digits 12 Estimated correct digits 12 Correct digits 7 h 0.001 x2[1] (closed_form) 1.0042466622131043 x2[1] (numeric) 1.0042467447063252 absolute error 8.24932209209095e-08 relative error 8.21443814800593e-06% Desired digits 12 Estimated correct digits 12 Correct digits 7 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.5299999999999967 x1[1] (closed_form) 2.0003897642011688 x1[1] (numeric) 2.000389402703199 absolute error 3.614979697807996e-07 relative error 1.8071376701188e-05% Desired digits 12 Estimated correct digits 12 Correct digits 7 h 0.001 x2[1] (closed_form) 1.0043304721326 x2[1] (numeric) 1.004330660221087 absolute error 1.8808848700757608e-07 relative error 1.8727748706876142e-05% Desired digits 12 Estimated correct digits 12 Correct digits 7 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.5399999999999956 x1[1] (closed_form) 2.0003858859825687 x1[1] (numeric) 2.0003852432820213 absolute error 6.42700547448527e-07 relative error 3.212882834017994e-05% Desired digits 12 Estimated correct digits 12 Correct digits 6 h 0.001 x2[1] (closed_form) 1.0044159948096676 x2[1] (numeric) 1.004416333646013 absolute error 3.3883634542597463e-07 relative error 3.37346624483198e-05% Desired digits 12 Estimated correct digits 12 Correct digits 6 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.5499999999999945 x1[1] (closed_form) 2.0003820463528883 x1[1] (numeric) 2.0003810420579664 absolute error 1.0042949218913577e-06 relative error 5.020515574624337e-05% Desired digits 12 Estimated correct digits 12 Correct digits 6 h 0.001 x2[1] (closed_form) 1.0045032646484364 x2[1] (numeric) 1.0045038011234326 absolute error 5.364749962044613e-07 relative error 5.340699379331742e-05% Desired digits 12 Estimated correct digits 12 Correct digits 6 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.5599999999999934 x1[1] (closed_form) 2.0003782449281613 x1[1] (numeric) 2.000376798610908 absolute error 1.446317253517293e-06 relative error 7.230218870777781e-05% Desired digits 12 Estimated correct digits 12 Correct digits 6 h 0.001 x2[1] (closed_form) 1.0045923167499953 x2[1] (numeric) 1.0045930995321328 absolute error 7.827821375538946e-07 relative error 7.792037869514179e-05% Desired digits 12 Estimated correct digits 12 Correct digits 6 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.5699999999999923 x1[1] (closed_form) 2.0003744813282425 x1[1] (numeric) 2.0003725125164964 absolute error 1.968811746078103e-06 relative error 9.842215867355086e-05% Desired digits 12 Estimated correct digits 12 Correct digits 6 h 0.001 x2[1] (closed_form) 1.0046831869264514 x2[1] (numeric) 1.0046842665022986 absolute error 1.0795758471626726e-06 relative error 0.00010745435588161224% Desired digits 12 Estimated correct digits 12 Correct digits 6 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.5799999999999912 x1[1] (closed_form) 2.000370755176769 x1[1] (numeric) 2.0003681833461204 absolute error 2.571830648445683e-06 relative error 0.00012856769885232676% Desired digits 12 Estimated correct digits 12 Correct digits 6 h 0.001 x2[1] (closed_form) 1.004775911715275 x2[1] (numeric) 1.0047773404307563 absolute error 1.4287154812553382e-06 relative error 0.00014219244953995232% Desired digits 12 Estimated correct digits 12 Correct digits 6 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.58999999999999 x1[1] (closed_form) 2.0003670661011217 x1[1] (numeric) 2.0003638106668586 absolute error 3.25543426304975e-06 relative error 0.00016274184464528586% Desired digits 12 Estimated correct digits 12 Correct digits 6 h 0.001 x2[1] (closed_form) 1.004870528393933 x2[1] (numeric) 1.004872360496526 absolute error 1.8321025929690649e-06 relative error 0.00018232225358397986% Desired digits 12 Estimated correct digits 12 Correct digits 6 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.599999999999989 x1[1] (closed_form) 2.0003634137323902 x1[1] (numeric) 2.0003593940414395 absolute error 4.019690950762822e-06 relative error 0.00020094803390063293% Desired digits 12 Estimated correct digits 12 Correct digits 6 h 0.001 x2[1] (closed_form) 1.00496707499482 x2[1] (numeric) 1.0049693666766888 absolute error 2.291681868715756e-06 relative error 0.00022803551735538878% Desired digits 12 Estimated correct digits 12 Correct digits 6 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.6099999999999879 x1[1] (closed_form) 2.000359797705335 x1[1] (numeric) 2.0003549330281976 absolute error 4.864677137561557e-06 relative error 0.00024319010725680224% Desired digits 12 Estimated correct digits 12 Correct digits 6 h 0.001 x2[1] (closed_form) 1.00506559032049 x2[1] (numeric) 1.0050683997625742 absolute error 2.809442084306113e-06 relative error 0.00027952823291963% Desired digits 12 Estimated correct digits 12 Correct digits 6 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.6199999999999868 x1[1] (closed_form) 2.0003562176583505 x1[1] (numeric) 2.0003504271810266 absolute error 5.7904773238526275e-06 relative error 0.0002894723086186646% Desired digits 12 Estimated correct digits 12 Correct digits 6 h 0.001 x2[1] (closed_form) 1.0051661139591952 x2[1] (numeric) 1.0051695013762771 absolute error 3.387417081945898e-06 relative error 0.0003370007240498172% Desired digits 12 Estimated correct digits 12 Correct digits 5 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.6299999999999857 x1[1] (closed_form) 2.0003526732334285 x1[1] (numeric) 2.000345876049339 absolute error 6.7971840893577e-06 relative error 0.0003397992854115336% Desired digits 12 Estimated correct digits 12 Correct digits 5 h 0.001 x2[1] (closed_form) 1.0052686863007416 x2[1] (numeric) 1.0052727139875066 absolute error 4.027686764995764e-06 relative error 0.00040065773657161534% Desired digits 12 Estimated correct digits 12 Correct digits 5 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.6399999999999846 x1[1] (closed_form) 2.0003491640761237 x1[1] (numeric) 2.000341279178018 absolute error 7.884898105547933e-06 relative error 0.0003941760892123867% Desired digits 12 Estimated correct digits 12 Correct digits 5 h 0.001 x2[1] (closed_form) 1.005373348552662 x2[1] (numeric) 1.005378080930778 absolute error 4.732378116045766e-06 relative error 0.00047070853060293563% Desired digits 12 Estimated correct digits 12 Correct digits 5 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.6499999999999835 x1[1] (closed_form) 2.0003456898355174 x1[1] (numeric) 2.000336636107372 absolute error 9.053728145413942e-06 relative error 0.00045260817624769663% Desired digits 12 Estimated correct digits 12 Correct digits 5 h 0.001 x2[1] (closed_form) 1.0054801427567175 x2[1] (numeric) 1.0054856464229511 absolute error 5.503666233641624e-06 relative error 0.0005473669742052054% Desired digits 12 Estimated correct digits 12 Correct digits 5 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.6599999999999824 x1[1] (closed_form) 2.0003422501641825 x1[1] (numeric) 2.0003319463730893 absolute error 1.0303791093235759e-05 relative error 0.0005151014078910773% Desired digits 12 Estimated correct digits 12 Correct digits 5 h 0.001 x2[1] (closed_form) 1.0055891118057336 x2[1] (numeric) 1.0055954555811264 absolute error 6.343775392769757e-06 relative error 0.0006308516389341424% Desired digits 12 Estimated correct digits 12 Correct digits 5 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.6699999999999813 x1[1] (closed_form) 2.00033884471815 x1[1] (numeric) 2.000327209506194 absolute error 1.1635211955685065e-05 relative error 0.00058166205122735% Desired digits 12 Estimated correct digits 12 Correct digits 5 h 0.001 x2[1] (closed_form) 1.005700299460773 x2[1] (numeric) 1.0057075544409 absolute error 7.254980126880639e-06 relative error 0.0007213858970481113% Desired digits 12 Estimated correct digits 12 Correct digits 5 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.6799999999999802 x1[1] (closed_form) 2.0003354731568708 x1[1] (numeric) 2.0003224250329956 absolute error 1.3048123875147866e-05 relative error 0.0006522967797274374% Desired digits 12 Estimated correct digits 12 Correct digits 5 h 0.001 x2[1] (closed_form) 1.0058137503686602 x2[1] (numeric) 1.005821989974989 absolute error 8.239606328785953e-06 relative error 0.0008191980200873072% Desired digits 12 Estimated correct digits 12 Correct digits 5 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.689999999999979 x1[1] (closed_form) 2.0003321351431875 x1[1] (numeric) 2.0003175924750414 absolute error 1.454266814615579e-05 relative error 0.0007270126740784874% Desired digits 12 Estimated correct digits 12 Correct digits 5 h 0.001 x2[1] (closed_form) 1.0059295100798555 x2[1] (numeric) 1.0059388101122353 absolute error 9.300032379755407e-06 relative error 0.0009245212797283506% Desired digits 12 Estimated correct digits 12 Correct digits 5 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.699999999999978 x1[1] (closed_form) 2.000328830343295 x1[1] (numeric) 2.000312711349073 absolute error 1.6118994222047434e-05 relative error 0.0008058172225254137% Desired digits 12 Estimated correct digits 12 Correct digits 5 h 0.001 x2[1] (closed_form) 1.006047625066695 x2[1] (numeric) 1.006058063756994 absolute error 1.0438690299041653e-05 relative error 0.0010375940501176205% Desired digits 12 Estimated correct digits 12 Correct digits 5 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.7099999999999769 x1[1] (closed_form) 2.000325558426711 x1[1] (numeric) 2.0003077811669723 absolute error 1.777725973850508e-05 relative error 0.0008887183220558952% Desired digits 12 Estimated correct digits 12 Correct digits 5 h 0.001 x2[1] (closed_form) 1.0061681427419948 x2[1] (numeric) 1.0061798008089105 absolute error 1.1658066915609666e-05 relative error 0.001158659911835339% Desired digits 12 Estimated correct digits 12 Correct digits 5 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.7199999999999758 x1[1] (closed_form) 2.0003223190662407 x1[1] (numeric) 2.000302801435718 absolute error 1.951763052288058e-05 relative error 0.0009757242788747914% Desired digits 12 Estimated correct digits 12 Correct digits 5 h 0.001 x2[1] (closed_form) 1.006291111478035 x2[1] (numeric) 1.0063040721831031 absolute error 1.2960705068065792e-05 relative error 0.0012879677580605055% Desired digits 12 Estimated correct digits 12 Correct digits 5 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.7299999999999747 x1[1] (closed_form) 2.0003191119379458 x1[1] (numeric) 2.0002977716573325 absolute error 2.1340280613291185e-05 relative error 0.001066843809366813% Desired digits 12 Estimated correct digits 12 Correct digits 5 h 0.001 x2[1] (closed_form) 1.0064165806259242 x2[1] (numeric) 1.006430929830751 absolute error 1.4349204826791251e-05 relative error 0.0014257719023137517% Desired digits 12 Estimated correct digits 12 Correct digits 5 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.7399999999999736 x1[1] (closed_form) 2.0003159367211105 x1[1] (numeric) 2.000292691328834 absolute error 2.3245392276383114e-05 relative error 0.001162086040992436% Desired digits 12 Estimated correct digits 12 Correct digits 5 h 0.001 x2[1] (closed_form) 1.0065446005353573 x2[1] (numeric) 1.0065604267600996 absolute error 1.5826224742276906e-05 relative error 0.0015723321881473819% Desired digits 12 Estimated correct digits 12 Correct digits 5 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.7499999999999725 x1[1] (closed_form) 2.0003127930982108 x1[1] (numeric) 2.0002875599421857 absolute error 2.5233156025095127e-05 relative error 0.0012614605131836616% Desired digits 12 Estimated correct digits 12 Correct digits 5 h 0.001 x2[1] (closed_form) 1.0066752225747733 x2[1] (numeric) 1.0066926170578903 absolute error 1.7394483116994763e-05 relative error 0.0017279141004886255% Desired digits 12 Estimated correct digits 12 Correct digits 5 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.7599999999999714 x1[1] (closed_form) 2.0003096807548815 x1[1] (numeric) 2.0002823769842437 absolute error 2.7303770637754354e-05 relative error 0.0013649771783062307% Desired digits 12 Estimated correct digits 12 Correct digits 5 h 0.001 x2[1] (closed_form) 1.0068084991519164 x2[1] (numeric) 1.0068275559112247 absolute error 1.905675930835571e-05 relative error 0.0018927888793557205% Desired digits 12 Estimated correct digits 12 Correct digits 5 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.7699999999999703 x1[1] (closed_form) 2.000306599379886 x1[1] (numeric) 2.0002771419367082 absolute error 2.9457443177616227e-05 relative error 0.0014726464026438906% Desired digits 12 Estimated correct digits 12 Correct digits 5 h 0.001 x2[1] (closed_form) 1.0069444837348187 x2[1] (numeric) 1.0069652996298717 absolute error 2.0815895052983535e-05 relative error 0.002067233634944412% Desired digits 12 Estimated correct digits 12 Correct digits 5 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.7799999999999692 x1[1] (closed_form) 2.0003035486650833 x1[1] (numeric) 2.000271854276071 absolute error 3.16943890124044e-05 relative error 0.0015844789673825194% Desired digits 12 Estimated correct digits 12 Correct digits 5 h 0.001 x2[1] (closed_form) 1.0070832308732016 x2[1] (numeric) 1.007105905669025 absolute error 2.267479582340748e-05 relative error 0.0022515314651547786% Desired digits 12 Estimated correct digits 12 Correct digits 5 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.789999999999968 x1[1] (closed_form) 2.0003005283054005 x1[1] (numeric) 2.0002665134735595 absolute error 3.4014831840956106e-05 relative error 0.0017004860699493256% Desired digits 12 Estimated correct digits 12 Correct digits 5 h 0.001 x2[1] (closed_form) 1.007224796220312 x2[1] (numeric) 1.0072494326525214 absolute error 2.4636432209401704e-05 relative error 0.002445971574751912% Desired digits 12 Estimated correct digits 12 Correct digits 5 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.799999999999967 x1[1] (closed_form) 2.000297537998799 x1[1] (numeric) 2.0002611189950916 absolute error 3.6419003707433006e-05 relative error 0.0018206793247302826% Desired digits 12 Estimated correct digits 12 Correct digits 5 h 0.001 x2[1] (closed_form) 1.0073692365552016 x2[1] (numeric) 1.0073959403965296 absolute error 2.6703841327968547e-05 relative error 0.002650849396521673% Desired digits 12 Estimated correct digits 12 Correct digits 5 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.8099999999999659 x1[1] (closed_form) 2.000294577446245 x1[1] (numeric) 2.000255670301214 absolute error 3.8907145030631085e-05 relative error 0.001945070764542262% Desired digits 12 Estimated correct digits 12 Correct digits 5 h 0.001 x2[1] (closed_form) 1.007516609805451 x2[1] (numeric) 1.0075454899337168 absolute error 2.8880128265740268e-05 relative error 0.0028664667147588713% Desired digits 12 Estimated correct digits 12 Correct digits 5 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.8199999999999648 x1[1] (closed_form) 2.000291646351681 x1[1] (numeric) 2.0002501668470525 absolute error 4.147950462840555e-05 relative error 0.002073672841860823% Desired digits 12 Estimated correct digits 12 Correct digits 5 h 0.001 x2[1] (closed_form) 1.0076669750703595 x2[1] (numeric) 1.0076981435379062 absolute error 3.116846754669389e-05 relative error 0.0030931317903434893% Desired digits 12 Estimated correct digits 12 Correct digits 5 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.8299999999999637 x1[1] (closed_form) 2.0002887444219954 x1[1] (numeric) 2.0002446080822565 absolute error 4.413633973898712e-05 relative error 0.002206498429892469% Desired digits 12 Estimated correct digits 12 Correct digits 5 h 0.001 x2[1] (closed_form) 1.0078203926445983 x2[1] (numeric) 1.0078539647492328 absolute error 3.3572104634504996e-05 relative error 0.00333115948829029% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.8399999999999626 x1[1] (closed_form) 2.0002858713669927 x1[1] (numeric) 2.0002389934509464 absolute error 4.68779160462951e-05 relative error 0.002343560823846583% Desired digits 12 Estimated correct digits 12 Correct digits 5 h 0.001 x2[1] (closed_form) 1.0079769240423462 x2[1] (numeric) 1.0080130183998068 absolute error 3.60943574606587e-05 relative error 0.003580871406848034% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.8499999999999615 x1[1] (closed_form) 2.0002830268993645 x1[1] (numeric) 2.000233322391653 absolute error 4.970450771146773e-05 relative error 0.0024848737425180577% Desired digits 12 Estimated correct digits 12 Correct digits 5 h 0.001 x2[1] (closed_form) 1.008136632021907 x2[1] (numeric) 1.0081753706398988 absolute error 3.873861799186251e-05 relative error 0.0038425960094485203% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.8599999999999604 x1[1] (closed_form) 2.0002802107346622 x1[1] (numeric) 2.0002275943372663 absolute error 5.2616397395954806e-05 relative error 0.0026304513294479813% Desired digits 12 Estimated correct digits 12 Correct digits 5 h 0.001 x2[1] (closed_form) 1.008299580610832 x2[1] (numeric) 1.0083410889646527 absolute error 4.150835382077389e-05 relative error 0.004116668757873326% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.8699999999999593 x1[1] (closed_form) 2.0002774225912674 x1[1] (numeric) 2.0002218087149757 absolute error 5.561387629171577e-05 relative error 0.0027803081544394252% Desired digits 12 Estimated correct digits 12 Correct digits 5 h 0.001 x2[1] (closed_form) 1.0084658351315432 x2[1] (numeric) 1.0085102422413394 absolute error 4.440710979625173e-05 relative error 0.004403432248199% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.8799999999999581 x1[1] (closed_form) 2.000274662190362 x1[1] (numeric) 2.0002159649462143 absolute error 5.8697244147865035e-05 relative error 0.002934459214895506% Desired digits 12 Estimated correct digits 12 Correct digits 5 h 0.001 x2[1] (closed_form) 1.008635462227479 x2[1] (numeric) 1.008682900737164 absolute error 4.7438509685138186e-05 relative error 0.004703236348677905% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.889999999999957 x1[1] (closed_form) 2.0002719292559057 x1[1] (numeric) 2.000210062446601 absolute error 6.186680930486688e-05 relative error 0.003092919937534749% Desired digits 12 Estimated correct digits 12 Correct digits 5 h 0.001 x2[1] (closed_form) 1.008808529889765 x2[1] (numeric) 1.0088591361476318 absolute error 5.060625786668105e-05 relative error 0.005016438339613456% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.899999999999956 x1[1] (closed_form) 2.000269223514601 x1[1] (numeric) 2.00020410062588 absolute error 6.512288872073668e-05 relative error 0.00325570617970673% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.008985107484426 x2[1] (numeric) 1.0090390216254932 absolute error 5.3914141067146204e-05 relative error 0.005343403055924527% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.9099999999999548 x1[1] (closed_form) 2.000266544695872 x1[1] (numeric) 2.0001980788878644 absolute error 6.846580800745627e-05 relative error 0.003422834231218224% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0091652657801475 x2[1] (numeric) 1.0092226318102682 absolute error 5.736603012063135e-05 relative error 0.0056845030309563655% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.9199999999999537 x1[1] (closed_form) 2.0002638925318346 x1[1] (numeric) 2.0001919966303765 absolute error 7.189590145806335e-05 relative error 0.003594320815693028% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.009349076976596 x2[1] (numeric) 1.0094100428583743 absolute error 6.0965881778285436e-05 relative error 0.006040118643680997% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.9299999999999526 x1[1] (closed_form) 2.0002612667572706 x1[1] (numeric) 2.0001858532451835 absolute error 7.54135120870636e-05 relative error 0.0037701830925977197% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.009536614733315 x2[1] (numeric) 1.0096013324738597 absolute error 6.471774054483959e-05 relative error 0.006410638267135641% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.9399999999999515 x1[1] (closed_form) 2.0002586671096 x1[1] (numeric) 2.000179648117943 absolute error 7.901899165707604e-05 relative error 0.003950438658579069% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0097279541992015 x2[1] (numeric) 1.0097965799397592 absolute error 6.86257405577706e-05 relative error 0.0067964584195548535% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.9499999999999504 x1[1] (closed_form) 2.0002560933288556 x1[1] (numeric) 2.000173380628137 absolute error 8.271270071835701e-05 relative error 0.004135105549445187% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.009923172042581 x2[1] (numeric) 1.0099958661500867 absolute error 7.269410750576633e-05 relative error 0.007197983917800566% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.9599999999999493 x1[1] (closed_form) 2.000253545157658 x1[1] (numeric) 2.000167050149012 absolute error 8.64950086461036e-05 relative error 0.004324202242035579% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0101223464818885 x2[1] (numeric) 1.0101992736424708 absolute error 7.692716058227411e-05 relative error 0.007615628032604209% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.9699999999999482 x1[1] (closed_form) 2.000251022341187 x1[1] (numeric) 2.0001606560475134 absolute error 9.036629367376037e-05 relative error 0.004517747655891281% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0103255573169687 x2[1] (numeric) 1.0104068866314553 absolute error 8.132931448656677e-05 relative error 0.008049812646781476% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.9799999999999471 x1[1] (closed_form) 2.0002485246271595 x1[1] (numeric) 2.0001541976842265 absolute error 9.432694293298738e-05 relative error 0.004715761155257927% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0105328859610119 x2[1] (numeric) 1.0106187910424693 absolute error 8.590508145744913e-05 relative error 0.008500968414872894% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.989999999999946 x1[1] (closed_form) 2.000246051765802 x1[1] (numeric) 2.0001476744133093 absolute error 9.837735249274004e-05 relative error 0.004918262551044321% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0107444154731307 x2[1] (numeric) 1.0108350745464876 absolute error 9.065907335692458e-05 relative error 0.008969534925848387% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 1.999999999999945 x1[1] (closed_form) 2.000243603509826 x1[1] (numeric) 2.0001410855824298 absolute error 0.00010251792739612853 relative error 0.005125272102669915% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0109602305915986 x2[1] (numeric) 1.011055826595389 absolute error 9.559600379049904e-05 relative error 0.009455960867477221% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.009999999999944 x1[1] (closed_form) 2.0002411796144037 x1[1] (numeric) 2.000134430532699 absolute error 0.00010674908170482666 relative error 0.005336810520289619% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0111804177677586 x2[1] (numeric) 1.0112811384580347 absolute error 0.00010072069027611263 relative error 0.009960704193467236% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.0199999999999427 x1[1] (closed_form) 2.000238779837144 x1[1] (numeric) 2.000127708598606 absolute error 0.00011107123853815182 relative error 0.005552898966752111% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0114050652006166 x2[1] (numeric) 1.0115111032570707 absolute error 0.00010603805645414965 relative error 0.010484232292540136% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.0299999999999416 x1[1] (closed_form) 2.000236403938067 x1[1] (numeric) 2.0001209191079523 absolute error 0.00011548483011480926 relative error 0.005773559059691276% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0116342628721349 x2[1] (numeric) 1.0117458160064796 absolute error 0.00011155313434474401 relative error 0.011027022159968472% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.0399999999999405 x1[1] (closed_form) 2.0002340516795813 x1[1] (numeric) 2.0001140613817836 absolute error 0.00011999029779774517 relative error 0.005998812873772958% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0118681025832386 x2[1] (numeric) 1.0119853736498885 absolute error 0.0001172710666499377 relative error 0.011589560571239641% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.0499999999999394 x1[1] (closed_form) 2.000231722826458 x1[1] (numeric) 2.0001071347343204 absolute error 0.00012458809213766742 relative error 0.006228682942875054% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0121066779905472 x2[1] (numeric) 1.0122298750996546 absolute error 0.0001231971091073536 relative error 0.01217234425840872% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.0599999999999383 x1[1] (closed_form) 2.000229417145811 x1[1] (numeric) 2.000100138472894 absolute error 0.00012927867291701034 relative error 0.006463192262289697% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0123500846438527 x2[1] (numeric) 1.012479421276739 absolute error 0.00012933663288627884 relative error 0.012775880088139646% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.0699999999999372 x1[1] (closed_form) 2.0002271344070692 x1[1] (numeric) 2.000093071897871 absolute error 0.0001340625091983405 relative error 0.00670236429114741% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0125984200243503 x2[1] (numeric) 1.0127341151513887 absolute error 0.00013569512703837106 relative error 0.013400685242537505% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.079999999999936 x1[1] (closed_form) 2.0002248743819573 x1[1] (numeric) 2.000085934302588 absolute error 0.0001389400793692097 relative error 0.0069462229546635515% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0128517835836452 x2[1] (numeric) 1.0129940617846407 absolute error 0.0001422782009954382 relative error 0.014047287401917116% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.089999999999935 x1[1] (closed_form) 2.0002226368444713 x1[1] (numeric) 2.0000787249732794 absolute error 0.00014391187119189297 relative error 0.007194792646628912% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0131102767835454 x2[1] (numeric) 1.0132593683706657 absolute error 0.00014909158712028692 relative error 0.014716224929987642% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.099999999999934 x1[1] (closed_form) 2.0002204215708552 x1[1] (numeric) 2.0000714431890065 absolute error 0.00014897838184868561 relative error 0.0074480982316782254% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0133740031366592 x2[1] (numeric) 1.0135301442799696 absolute error 0.00015614114331041762 relative error 0.015408047061313957% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.109999999999933 x1[1] (closed_form) 2.00021822833958 x1[1] (numeric) 2.000064088221586 absolute error 0.00015414011799386174 relative error 0.007706165047891621% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0136430682478121 x2[1] (numeric) 1.0138065011034656 absolute error 0.0001634328556534559 relative error 0.016123314090823574% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.1199999999999317 x1[1] (closed_form) 2.0002160569313205 x1[1] (numeric) 2.0000566593355136 absolute error 0.0001593975958069649 relative error 0.007969018909462637% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0139175798563025 x2[1] (numeric) 1.014088552697441 absolute error 0.00017097284113853917 relative error 0.0168625975656493% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.1299999999999306 x1[1] (closed_form) 2.000213907128934 x1[1] (numeric) 2.000049155787895 absolute error 0.00016475134103899336 relative error 0.008236686109010911% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.014197647879009 x2[1] (numeric) 1.0143764152294323 absolute error 0.0001787673504234366 relative error 0.017626480479154404% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.1399999999999295 x1[1] (closed_form) 2.000211778717439 x1[1] (numeric) 2.0000415768283686 absolute error 0.00017020188907057587 relative error 0.008509193420494277% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0144833844543695 x2[1] (numeric) 1.0146702072250275 absolute error 0.0001868227706580683 relative error 0.018415557467069722% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.1499999999999284 x1[1] (closed_form) 2.0002096714839923 x1[1] (numeric) 2.000033921699033 absolute error 0.00017574978495948912 relative error 0.008786568101587927% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0147749039872491 x2[1] (numeric) 1.0149700496156164 absolute error 0.0001951456283673103 relative error 0.019230435005886032% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.1599999999999273 x1[1] (closed_form) 2.0002075852178685 x1[1] (numeric) 2.0000261896343687 absolute error 0.00018139558349972162 relative error 0.009068837896640787% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0150723231947139 x2[1] (numeric) 1.015276065787105 absolute error 0.00020374259239108738 relative error 0.02007173161315767% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.169999999999926 x1[1] (closed_form) 2.0002055197104394 x1[1] (numeric) 2.000018379861163 absolute error 0.00018713984927654082 relative error 0.009356031039431998% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.01537576115273 x2[1] (numeric) 1.0155883816296156 absolute error 0.00021262047688552776 relative error 0.020940078049937413% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.179999999999925 x1[1] (closed_form) 2.000203474755153 x1[1] (numeric) 2.0000104915984314 absolute error 0.00019298315672156008 relative error 0.009648176255927331% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0156853393438066 x2[1] (numeric) 1.0159071255881944 absolute error 0.0002217862443878449 relative error 0.021836117525446615% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.189999999999924 x1[1] (closed_form) 2.0002014501475114 x1[1] (numeric) 2.0000025240573414 absolute error 0.00019892609017002627 relative error 0.00994530276714657% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0160011817055996 x2[1] (numeric) 1.0162324287145408 absolute error 0.00023124700894117112 relative error 0.02276050590344472% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.199999999999923 x1[1] (closed_form) 2.0001994456850523 x1[1] (numeric) 1.999994476441132 absolute error 0.00020496924392032767 relative error 0.010247440292141833% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0163234146804998 x2[1] (numeric) 1.0165644247197854 absolute error 0.00024101003928556075 relative error 0.02371391191074022% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.209999999999922 x1[1] (closed_form) 2.000197461167328 x1[1] (numeric) 1.999986347945035 absolute error 0.0002111132222928358 relative error 0.01055461905094254% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0166521672662208 x2[1] (numeric) 1.0169032500283353 absolute error 0.0002510827621144962 relative error 0.02469701734760062% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.2199999999999207 x1[1] (closed_form) 2.000195496395885 x1[1] (numeric) 1.9999781377561938 absolute error 0.00021735863969118974 relative error 0.010866869767622425% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0169875710674103 x2[1] (numeric) 1.0172490438328072 absolute error 0.00026147276539689734 relative error 0.025710517299878173% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.2299999999999196 x1[1] (closed_form) 2.0001935511742444 x1[1] (numeric) 1.9999698450535832 absolute error 0.00022370612066113793 relative error 0.011184223673244413% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0173297603483038 x2[1] (numeric) 1.0176019481500727 absolute error 0.0002721878017688528 relative error 0.026755120353076443% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.2399999999999185 x1[1] (closed_form) 2.000191625307883 x1[1] (numeric) 1.999961469007926 absolute error 0.00023015629995692954 relative error 0.01150671250918283% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0176788720864411 x2[1] (numeric) 1.0179621078784362 absolute error 0.0002832357919950734 relative error 0.027831548808160335% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.2499999999999174 x1[1] (closed_form) 2.0001897186042115 x1[1] (numeric) 1.9999530087816098 absolute error 0.00023670982260171058 relative error 0.011834368530145897% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.01803504602747 x2[1] (numeric) 1.018329670855968 absolute error 0.000294624828497847 relative error 0.02894053889868709% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.2599999999999163 x1[1] (closed_form) 2.0001878308725587 x1[1] (numeric) 1.9999444635286057 absolute error 0.00024336734395302706 relative error 0.012167224507453427% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0183984247410547 x2[1] (numeric) 1.0187047879200208 absolute error 0.0003063631789661514 relative error 0.0300828410102902% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.269999999999915 x1[1] (closed_form) 2.0001859619241498 x1[1] (numeric) 1.9999358323943812 absolute error 0.0002501295297685502 relative error 0.012505313732325631% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0187691536779167 x2[1] (numeric) 1.019087612967946 absolute error 0.00031845929002938256 relative error 0.031259219900768936% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.279999999999914 x1[1] (closed_form) 2.000184111572088 x1[1] (numeric) 1.999927114515816 absolute error 0.00025699705627202363 relative error 0.012848670019182946% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0191473812280247 x2[1] (numeric) 1.0194783030190393 absolute error 0.0003309217910145712 relative error 0.03247045492241034% Desired digits 12 Estimated correct digits 12 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.289999999999913 x1[1] (closed_form) 2.000182279631337 x1[1] (numeric) 1.9999183090211143 absolute error 0.0002639706102225414 relative error 0.013197327709112347% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0195332587799635 x2[1] (numeric) 1.0198770182777395 absolute error 0.00034375949777598613 relative error 0.03371734024521672% Desired digits 12 Estimated correct digits 12 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.299999999999912 x1[1] (closed_form) 2.0001804659187012 x1[1] (numeric) 1.9999094150297194 absolute error 0.0002710508889818275 relative error 0.013551321673233686% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0199269407815001 x2[1] (numeric) 1.0202839221981042 absolute error 0.0003569814166040075 relative error 0.035000685081470355% Desired digits 12 Estimated correct digits 12 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.309999999999911 x1[1] (closed_form) 2.0001786702528075 x1[1] (numeric) 1.9999004316522253 absolute error 0.0002782386005821813 relative error 0.01391068731609932% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0203285848013735 x2[1] (numeric) 1.020699181549589 absolute error 0.0003705967482154904 relative error 0.036321313911599776% Desired digits 12 Estimated correct digits 12 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.3199999999999097 x1[1] (closed_form) 2.0001768924540877 x1[1] (numeric) 1.9998913579902862 absolute error 0.0002855344638015289 relative error 0.01427546057944888% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0207383515923336 x2[1] (numeric) 1.0211229664841603 absolute error 0.0003846148918267289 relative error 0.037680066711193574% Desired digits 12 Estimated correct digits 12 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.3299999999999086 x1[1] (closed_form) 2.000175132344761 x1[1] (numeric) 1.9998821931365285 absolute error 0.0002929392082324789 relative error 0.014645677945664324% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.021156405155455 x2[1] (numeric) 1.0215554506047608 absolute error 0.00039904544930591257 relative error 0.039077799178585594% Desired digits 12 Estimated correct digits 12 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.3399999999999075 x1[1] (closed_form) 2.0001733897488148 x1[1] (numeric) 1.9998729361744594 absolute error 0.0003004535743553749 relative error 0.01502137644142473% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0215829128057452 x2[1] (numeric) 1.0219968110351607 absolute error 0.00041389822941551024 relative error 0.04051538296375297% Desired digits 12 Estimated correct digits 12 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.3499999999999064 x1[1] (closed_form) 2.000171664491988 x1[1] (numeric) 1.9998635861783747 absolute error 0.0003080783136133469 relative error 0.015402593641460967% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0220180452390852 x2[1] (numeric) 1.0224472284912238 absolute error 0.00042918325213858743 relative error 0.041993705897647504% Desired digits 12 Estimated correct digits 12 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.3599999999999053 x1[1] (closed_form) 2.0001699564017534 x1[1] (numeric) 1.9998541422132674 absolute error 0.00031581418848602993 relative error 0.01578936767224373% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0224619766005165 x2[1] (numeric) 1.022906887353612 absolute error 0.00044491075309549544 relative error 0.04351367222228992% Desired digits 12 Estimated correct digits 12 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.369999999999904 x1[1] (closed_form) 2.0001682653073005 x1[1] (numeric) 1.999844603334733 absolute error 0.0003236619725675016 relative error 0.01618173721588244% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0229148845539109 x2[1] (numeric) 1.0233759757419598 absolute error 0.00046109118804893434 relative error 0.04507620282111882% Desired digits 12 Estimated correct digits 12 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.379999999999903 x1[1] (closed_form) 2.0001665910395188 x1[1] (numeric) 1.9998349685888757 absolute error 0.0003316224506431098 relative error 0.01657974151396861% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0233769503530468 x2[1] (numeric) 1.0238546855905521 absolute error 0.0004777352375053834 relative error 0.046682235450053206% Desired digits 12 Estimated correct digits 12 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.389999999999902 x1[1] (closed_form) 2.0001649334309795 x1[1] (numeric) 1.9998252370122125 absolute error 0.000339696418766966 relative error 0.016983420371452486% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0238483589141214 x2[1] (numeric) 1.0243432127255274 absolute error 0.0004948538114060153 relative error 0.04833272496826092% Desired digits 12 Estimated correct digits 12 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.399999999999901 x1[1] (closed_form) 2.000163292315921 x1[1] (numeric) 1.9998154076315775 absolute error 0.0003478846843434358 relative error 0.017392814160719444% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.024329298889729 x2[1] (numeric) 1.0248417569436448 absolute error 0.0005124580539157542 relative error 0.05002864356913424% Desired digits 12 Estimated correct digits 12 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.4099999999998998 x1[1] (closed_form) 2.00016166753023 x1[1] (numeric) 1.9998054794640248 absolute error 0.0003561880662052985 relative error 0.017807963825499876% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0248199627443315 x2[1] (numeric) 1.0253505220926447 absolute error 0.0005305593483131421 relative error 0.05177098101137441% Desired digits 12 Estimated correct digits 12 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.4199999999998987 x1[1] (closed_form) 2.000160058911427 x1[1] (numeric) 1.9997954515167293 absolute error 0.0003646073946976802 relative error 0.018228910885067628% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0253205468312558 x2[1] (numeric) 1.0258697161532317 absolute error 0.0005491693219759064 relative error 0.05356074484931658% Desired digits 12 Estimated correct digits 12 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.4299999999998976 x1[1] (closed_form) 2.0001584662986485 x1[1] (numeric) 1.9997853227868883 absolute error 0.00037314351176021 relative error 0.01865569743834962% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.025831251471245 x2[1] (numeric) 1.0263995513227178 absolute error 0.0005682998514726645 relative error 0.05539896066313148% Desired digits 12 Estimated correct digits 12 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.4399999999998965 x1[1] (closed_form) 2.0001568895326316 x1[1] (numeric) 1.99977509226162 absolute error 0.0003817972710116191 relative error 0.019088366168157542% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0263522810325993 x2[1] (numeric) 1.0269402441003534 absolute error 0.0005879630677541048 relative error 0.057286672287858414% Desired digits 12 Estimated correct digits 12 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.4499999999998954 x1[1] (closed_form) 2.000155328455699 x1[1] (numeric) 1.999764758917863 absolute error 0.0003905695378358942 relative error 0.01952696034549723% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0268838440129313 x2[1] (numeric) 1.027492015374387 absolute error 0.0006081713614556339 relative error 0.05922494204203054% Desired digits 12 Estimated correct digits 12 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.4599999999998943 x1[1] (closed_form) 2.0001537829117413 x1[1] (numeric) 1.999754321722275 absolute error 0.00039946118946621034 relative error 0.019971523833766984% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0274261531225781 x2[1] (numeric) 1.0280550905108838 absolute error 0.000628937388305717 relative error 0.061214850954906634% Desired digits 12 Estimated correct digits 12 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.469999999999893 x1[1] (closed_form) 2.000152252746203 x1[1] (numeric) 1.9997437796311275 absolute error 0.00040847311507552497 relative error 0.020422101093288906% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.027979425369695 x2[1] (numeric) 1.0286296994443396 absolute error 0.0006502740746445745 relative error 0.06325749899232805% Desired digits 12 Estimated correct digits 12 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.479999999999892 x1[1] (closed_form) 2.000150737806066 x1[1] (numeric) 1.9997331315902025 absolute error 0.00041760621586361957 relative error 0.02087873718566258% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0285438821470694 x2[1] (numeric) 1.0292160767701284 absolute error 0.0006721946230590081 relative error 0.06535400528131209% Desired digits 12 Estimated correct digits 12 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.489999999999891 x1[1] (closed_form) 2.0001492379398353 x1[1] (numeric) 1.999722376534687 absolute error 0.0004268614051483599 relative error 0.021341477778329655% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0291197493206883 x2[1] (numeric) 1.0298144618388168 absolute error 0.0006947125181284708 relative error 0.06750550833244078% Desired digits 12 Estimated correct digits 12 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.49999999999989 x1[1] (closed_form) 2.000147752997523 x1[1] (numeric) 1.9997115133890664 absolute error 0.0004362396084567344 relative error 0.021810369149127283% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.029707257320096 x2[1] (numeric) 1.0304250988523869 absolute error 0.0007178415322908194 relative error 0.06971316626038601% Desired digits 12 Estimated correct digits 12 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.5099999999998888 x1[1] (closed_form) 2.0001462828306336 x1[1] (numeric) 1.9997005410670174 absolute error 0.0004457417636161143 relative error 0.02228545819085265% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0303066412305761 x2[1] (numeric) 1.031048236962406 absolute error 0.0007415957318299693 relative error 0.07197815700229043% Desired digits 12 Estimated correct digits 12 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.5199999999998877 x1[1] (closed_form) 2.000144827292149 x1[1] (numeric) 1.9996894584712983 absolute error 0.0004553688208508433 relative error 0.02276679241609389% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0309181408871961 x2[1] (numeric) 1.031684130370178 absolute error 0.0007659894829818992 relative error 0.07430167853314693% Desired digits 12 Estimated correct digits 12 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.5299999999998866 x1[1] (closed_form) 2.0001433862365148 x1[1] (numeric) 1.999678264493641 absolute error 0.00046512174287371977 relative error 0.02325441996180566% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.031542000970752 x2[1] (numeric) 1.0323330384289193 absolute error 0.0007910374581672208 relative error 0.07668494907844761% Desired digits 12 Estimated correct digits 12 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.5399999999998855 x1[1] (closed_form) 2.000141959519623 x1[1] (numeric) 1.9996669580146378 absolute error 0.00047500150498525073 relative error 0.023748389594273226% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0321784711056514 x2[1] (numeric) 1.0329952257480064 absolute error 0.0008167546423549776 relative error 0.07912920732400903% Desired digits 12 Estimated correct digits 12 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.5499999999998844 x1[1] (closed_form) 2.0001405469988023 x1[1] (numeric) 1.9996555379036314 absolute error 0.0004850090951709074 relative error 0.024248750713976593% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.032827805959773 x2[1] (numeric) 1.033670962299323 absolute error 0.0008431563395498998 relative error 0.08163571262165838% Desired digits 12 Estimated correct digits 12 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.5599999999998833 x1[1] (closed_form) 2.000139148532798 x1[1] (numeric) 1.9996440030186011 absolute error 0.0004951455141968264 relative error 0.024755553360376974% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.033490265346346 x2[1] (numeric) 1.0343605235257638 absolute error 0.0008702581794177711 relative error 0.08420574519162285% Desired digits 12 Estimated correct digits 12 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.569999999999882 x1[1] (closed_form) 2.0001377639817632 x1[1] (numeric) 1.999632352206049 absolute error 0.0005054117757141707 relative error 0.025268848217136056% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0341661143278837 x2[1] (numeric) 1.0350641904519289 absolute error 0.0008980761240451329 relative error 0.08684060632065892% Desired digits 12 Estimated correct digits 12 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.579999999999881 x1[1] (closed_form) 2.0001363932072413 x1[1] (numeric) 1.9996205843008845 absolute error 0.0005158089063568294 relative error 0.025788686617002354% Desired digits 12 Estimated correct digits 12 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0348556233222208 x2[1] (numeric) 1.0357822497970548 absolute error 0.0009266264748339914 relative error 0.08954161855537116% Desired digits 12 Estimated correct digits 12 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.58999999999988 x1[1] (closed_form) 2.0001350360721535 x1[1] (numeric) 1.999608698126307 absolute error 0.0005263379458464446 relative error 0.026315120547063767% Desired digits 12 Estimated correct digits 11 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0355590682106899 x2[1] (numeric) 1.0365149940902314 absolute error 0.0009559258795415193 relative error 0.09231012589105456% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.599999999999879 x1[1] (closed_form) 2.000133692440786 x1[1] (numeric) 1.9995966924936885 absolute error 0.0005369999470974385 relative error 0.02684820265400016% Desired digits 12 Estimated correct digits 11 Correct digits 4 h 0.001 x2[1] (closed_form) 1.036276730448486 x2[1] (numeric) 1.0372627217879482 absolute error 0.000985991339462311 relative error 0.09514749395517043% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.6099999999998778 x1[1] (closed_form) 2.0001323621787734 x1[1] (numeric) 1.9995845662024565 absolute error 0.0005477959763169338 relative error 0.027387986249080613% Desired digits 12 Estimated correct digits 11 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0370088971772566 x2[1] (numeric) 1.0380257373940134 absolute error 0.0010168402167567425 relative error 0.09805511018512827% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.6199999999998766 x1[1] (closed_form) 2.0001310451530894 x1[1] (numeric) 1.9995723180399716 absolute error 0.000558727113117774 relative error 0.027934525313815586% Desired digits 12 Estimated correct digits 11 Correct digits 4 h 0.001 x2[1] (closed_form) 1.037755861339972 x2[1] (numeric) 1.0388043515819014 absolute error 0.001048490241929434 relative error 0.10103438400006738% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.6299999999998755 x1[1] (closed_form) 2.00012974123203 x1[1] (numeric) 1.9995599467814067 absolute error 0.0005697944506231067 relative error 0.028487874505187232% Desired digits 12 Estimated correct digits 11 Correct digits 4 h 0.001 x2[1] (closed_form) 1.038517921798111 x2[1] (numeric) 1.0395988813195725 absolute error 0.0010809595214613665 relative error 0.10408674696627009% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.6399999999998744 x1[1] (closed_form) 2.0001284502852017 x1[1] (numeric) 1.9995474511896265 absolute error 0.0005809990955751854 relative error 0.029048089161090616% Desired digits 12 Estimated correct digits 11 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0392953834512169 x2[1] (numeric) 1.040409649996813 absolute error 0.0011142665455960987 relative error 0.10721365295551714% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.6499999999998733 x1[1] (closed_form) 2.0001271721835088 x1[1] (numeric) 1.999534830015061 absolute error 0.0005923421684477237 relative error 0.029615225305952553% Desired digits 12 Estimated correct digits 11 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0400885573588663 x2[1] (numeric) 1.0412369875551553 absolute error 0.0011484301962889631 relative error 0.11041657829648781% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.6599999999998722 x1[1] (closed_form) 2.0001259067991404 x1[1] (numeric) 1.9995220819955821 absolute error 0.0006038248035582505 relative error 0.03018933965635038% Desired digits 12 Estimated correct digits 11 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0408977608651064 x2[1] (numeric) 1.042081230620419 absolute error 0.0011834697553125828 relative error 0.11369702191778976% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.669999999999871 x1[1] (closed_form) 2.000124654005557 x1[1] (numeric) 1.9995092058563777 absolute error 0.0006154481491791319 relative error 0.030770489626564146% Desired digits 12 Estimated correct digits 11 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0417233177254013 x2[1] (numeric) 1.042942722637935 absolute error 0.0012194049125338058 relative error 0.11705650548327665% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.67999999999987 x1[1] (closed_form) 2.000123413677478 x1[1] (numeric) 1.9994962003098227 absolute error 0.0006272133676552549 relative error 0.03135873333446182% Desired digits 12 Estimated correct digits 11 Correct digits 4 h 0.001 x2[1] (closed_form) 1.0425655582361446 x2[1] (numeric) 1.043821814010501 absolute error 0.0012562557743562852 relative error 0.12049657351828028% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.689999999999869 x1[1] (closed_form) 2.000122185690869 x1[1] (numeric) 1.999483064055352 absolute error 0.0006391216355170481 relative error 0.03195412960715133% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.0434248193667897 x2[1] (numeric) 1.0447188622391275 absolute error 0.0012940428723378083 relative error 0.12401879352679267% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.699999999999868 x1[1] (closed_form) 2.0001209699229316 x1[1] (numeric) 1.9994697957793293 absolute error 0.0006511741436023843 relative error 0.03255673798707662% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.0443014448946477 x2[1] (numeric) 1.0456342320666272 absolute error 0.0013327871719794881 relative error 0.12762475609846002% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.7099999999998667 x1[1] (closed_form) 2.000119766252087 x1[1] (numeric) 1.9994563941549155 absolute error 0.0006633720971713775 relative error 0.033166618737758564% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.045195785542409 x2[1] (numeric) 1.0465682956241091 absolute error 0.00137251008170014 relative error 0.1313160750057818% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.7199999999998656 x1[1] (closed_form) 2.0001185745579675 x1[1] (numeric) 1.9994428578419368 absolute error 0.0006757167160307276 relative error 0.03378383285001306% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.0461081991184438 x2[1] (numeric) 1.0475214325804332 absolute error 0.001413233461989405 relative error 0.13509438728998951% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.7299999999998645 x1[1] (closed_form) 2.0001173947214026 x1[1] (numeric) 1.9994291854867512 absolute error 0.0006882092346514046 relative error 0.03440844204783618% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.0470390506599354 x2[1] (numeric) 1.0484940302946852 absolute error 0.0014549796347498312 relative error 0.1389613533356541% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.7399999999998634 x1[1] (closed_form) 2.000116226624408 x1[1] (numeric) 1.9994153757221114 absolute error 0.0007008509022965459 relative error 0.03504050879479992% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.0479887125789058 x2[1] (numeric) 1.0494864839717346 absolute error 0.0014977713928288061 relative error 0.1429186569331523% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.7499999999998623 x1[1] (closed_form) 2.000115070150172 x1[1] (numeric) 1.9994014271670295 absolute error 0.0007136429831424707 relative error 0.035680096300103825% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.0489575648111926 x2[1] (numeric) 1.0504991968209392 absolute error 0.001541632009746552 relative error 0.14696800532860815% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.7599999999998612 x1[1] (closed_form) 2.0001139251830473 x1[1] (numeric) 1.9993873384266385 absolute error 0.000726586756408798 relative error 0.03632726852508173% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.0499459949684329 x2[1] (numeric) 1.0515325802180522 absolute error 0.001586585249619299 relative error 0.1511111292602245% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.76999999999986 x1[1] (closed_form) 2.0001127916085357 x1[1] (numeric) 1.9993731080920527 absolute error 0.000739683516483014 relative error 0.03698209018943096% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.0509543984931193 x2[1] (numeric) 1.0525870538704092 absolute error 0.0016326553772898489 relative error 0.15534978298114407% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.779999999999859 x1[1] (closed_form) 2.0001116693132794 x1[1] (numeric) 1.9993587347402266 absolute error 0.0007529345730528103 relative error 0.037644626777830044% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.0519831788167886 x2[1] (numeric) 1.0536630459854472 absolute error 0.0016798671686586442 relative error 0.159685744267134% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.789999999999858 x1[1] (closed_form) 2.000110558185047 x1[1] (numeric) 1.999344216933813 absolute error 0.0007663412512339818 relative error 0.03831494454633448% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.0530327475214047 x2[1] (numeric) 1.0547609934426374 absolute error 0.0017282459212326629 relative error 0.16412081440967088% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.799999999999857 x1[1] (closed_form) 2.0001094581127252 x1[1] (numeric) 1.9993295532210194 absolute error 0.0007799048917058737 relative error 0.038993110529149784% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.0541035245040027 x2[1] (numeric) 1.0558813419688875 absolute error 0.0017778174648848122 relative error 0.16865681819262918% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.8099999999998557 x1[1] (closed_form) 2.0001083689863064 x1[1] (numeric) 1.9993147421354622 absolute error 0.0007936268508441646 relative error 0.039679192545271434% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.0551959381446583 x2[1] (numeric) 1.0570245463174919 absolute error 0.0018286081728335901 relative error 0.17329560385238174% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.8199999999998546 x1[1] (closed_form) 2.000107290696876 x1[1] (numeric) 1.9992997821960206 absolute error 0.0008075085008556471 relative error 0.04037325920522471% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.0563104254778524 x2[1] (numeric) 1.0581910704506985 absolute error 0.0018806449728461239 relative error 0.17803904302046059% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.8299999999998535 x1[1] (closed_form) 2.000106223136605 x1[1] (numeric) 1.999284671906688 absolute error 0.0008215512299170058 relative error 0.04107537991800422% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.0574474323672949 x2[1] (numeric) 1.0593813877259686 absolute error 0.001933955358673689 relative error 0.18288903064847076% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.8399999999998524 x1[1] (closed_form) 2.000105166198736 x1[1] (numeric) 1.9992694097564223 absolute error 0.0008357564423138175 relative error 0.041785624898024704% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.0586074136842822 x2[1] (numeric) 1.060595981085996 absolute error 0.0019885674017137145 relative error 0.18784748491349432% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.8499999999998513 x1[1] (closed_form) 2.000104119777575 x1[1] (numeric) 1.9992539942189969 absolute error 0.0008501255585779965 relative error 0.04250406517199396% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.0597908334896566 x2[1] (numeric) 1.0618353432525736 absolute error 0.002044509762916924 relative error 0.19291634710453248% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.85999999999985 x1[1] (closed_form) 2.0001030837684777 x1[1] (numeric) 1.9992384237528442 absolute error 0.0008646600156334561 relative error 0.04323077258619661% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.060998165219443 x2[1] (numeric) 1.0630999769243743 absolute error 0.0021018117049314 relative error 0.19809758148796505% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.869999999999849 x1[1] (closed_form) 2.000102058067844 x1[1] (numeric) 1.9992226968009057 absolute error 0.0008793612669382167 relative error 0.043965819813600156% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.0622298918742337 x2[1] (numeric) 1.0643903949787301 absolute error 0.0021605031044964473 relative error 0.20339317515197997% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.879999999999848 x1[1] (closed_form) 2.0001010425731014 x1[1] (numeric) 1.999206811790472 absolute error 0.0008942307826294016 relative error 0.04470928036110548% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.063486506212401 x2[1] (numeric) 1.0657071206774926 absolute error 0.002220614465091586 relative error 0.2088051378291848% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.889999999999847 x1[1] (closed_form) 2.0001000371827007 x1[1] (numeric) 1.9991907671330293 absolute error 0.0009092700496713402 relative error 0.045461228576952534% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.064768510947212 x2[1] (numeric) 1.0670506878770498 absolute error 0.002282176929837787 relative error 0.214335501695817% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.899999999999846 x1[1] (closed_form) 2.0000990417961018 x1[1] (numeric) 1.9991745612240985 absolute error 0.0009244805720032279 relative error 0.04622173965810405% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.0660764189479264 x2[1] (numeric) 1.0684216412425935 absolute error 0.0023452222946671597 relative error 0.21998632114774452% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.9099999999998447 x1[1] (closed_form) 2.0000980563137647 x1[1] (numeric) 1.9991581924430755 absolute error 0.0009398638706892282 relative error 0.04699088965775123% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.0674107534449542 x2[1] (numeric) 1.0698205364667113 absolute error 0.002409783021757095 relative error 0.22575967255152504% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.9199999999998436 x1[1] (closed_form) 2.0000970806371408 x1[1] (numeric) 1.9991416591530682 absolute error 0.0009554214840725717 relative error 0.04776875549301924% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.068772048239162 x2[1] (numeric) 1.0712479404924036 absolute error 0.0024758922532415184 relative error 0.231657653970333% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.9299999999998425 x1[1] (closed_form) 2.0000961146686613 x1[1] (numeric) 1.999124959700734 absolute error 0.0009711549679274345 relative error 0.048555414952561785% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.0701608479154041 x2[1] (numeric) 1.0727044317406034 absolute error 0.002543583825199258 relative error 0.23768238486335724% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.9399999999998414 x1[1] (closed_form) 2.000095158311729 x1[1] (numeric) 1.9991080924161138 absolute error 0.0009870658956152578 relative error 0.04935094670437758% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.0715777080603692 x2[1] (numeric) 1.0741906003422979 absolute error 0.002612892281928625 relative error 0.24383600575810252% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.9499999999998403 x1[1] (closed_form) 2.000094211470707 x1[1] (numeric) 1.9990910556124648 absolute error 0.0010031558582421773 relative error 0.05015543030368245% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.073023195484827 x2[1] (numeric) 1.0757070483753366 absolute error 0.0026838528905095416 relative error 0.2501206778942825% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.959999999999839 x1[1] (closed_form) 2.000093274050911 x1[1] (numeric) 1.999073847586092 absolute error 0.0010194264648188955 relative error 0.05096894620090337% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.0744978884503644 x2[1] (numeric) 1.077254390106034 absolute error 0.002756501655669652 relative error 0.2565385828393823% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.969999999999838 x1[1] (closed_form) 2.0000923459585973 x1[1] (numeric) 1.9990564666161792 absolute error 0.0010358793424181112 relative error 0.05179157574955063% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.0760023769007034 x2[1] (numeric) 1.078833252235649 absolute error 0.0028308753349455262 relative error 0.26309192207358545% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.979999999999837 x1[1] (closed_form) 2.0000914271009567 x1[1] (numeric) 1.9990389109646145 absolute error 0.0010525161363421631 relative error 0.05262340121460039% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.077537262697691 x2[1] (numeric) 1.0804442741518465 absolute error 0.002907011454155617 relative error 0.2697829165441302% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.989999999999836 x1[1] (closed_form) 2.0000905173861026 x1[1] (numeric) 1.9990211788758188 absolute error 0.0010693385102837905 relative error 0.05346450578053326% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.079103159862056 x2[1] (numeric) 1.0820881081852465 absolute error 0.002984948323190517 relative error 0.27661380618810244% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 2.999999999999835 x1[1] (closed_form) 2.000089616723062 x1[1] (numeric) 1.9990032685765677 absolute error 0.0010863481464942204 relative error 0.05431497355973921% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.0807006948190307 x2[1] (numeric) 1.083765419871153 absolute error 0.003064725052122297 relative error 0.2835868494223095% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.0099999999998337 x1[1] (closed_form) 2.0000887250217687 x1[1] (numeric) 1.9989851782758163 absolute error 0.0011035467459523662 relative error 0.05517488960097784% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.0823305066489337 x2[1] (numeric) 1.0854768882165746 absolute error 0.00314638156764091 relative error 0.29070432259944373% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.0199999999998326 x1[1] (closed_form) 2.0000878421930515 x1[1] (numeric) 1.99896690616452 absolute error 0.0011209360285313608 relative error 0.056044339897705665% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.0839932473428153 x2[1] (numeric) 1.0872232059726445 absolute error 0.0032299586298292216 relative error 0.29796851943006064% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.0299999999998315 x1[1] (closed_form) 2.000086968148627 x1[1] (numeric) 1.9989484504154522 absolute error 0.0011385177331748597 relative error 0.05692341139689162% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.0856895820632664 x2[1] (numeric) 1.0890050799125426 absolute error 0.0033154978492762055 relative error 0.3053817503687718% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.0399999999998304 x1[1] (closed_form) 2.0000861028010894 x1[1] (numeric) 1.9989298091830225 absolute error 0.001156293618066906 relative error 0.05781219200751081% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.087420189410497 x2[1] (numeric) 1.090823231115036 absolute error 0.0034030417045392003 relative error 0.3129463419640966% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.0499999999998293 x1[1] (closed_form) 2.0000852460639043 x1[1] (numeric) 1.9989109806030925 absolute error 0.0011742654608117853 relative error 0.05871077060953764% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.0891857616937903 x2[1] (numeric) 1.0926783952537522 absolute error 0.0034926335599618774 relative error 0.3206646361710137% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.059999999999828 x1[1] (closed_form) 2.000084397851396 x1[1] (numeric) 1.9988919627927884 absolute error 0.001192435058607666 relative error 0.05961923706262832% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.0909870052084396 x2[1] (numeric) 1.094571322892297 absolute error 0.003584317683857474 relative error 0.3285389896255152% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.069999999999827 x1[1] (closed_form) 2.0000835580787433 x1[1] (numeric) 1.9988727538503128 absolute error 0.001210804228430451 relative error 0.06053768221531381% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.0928246405182802 x2[1] (numeric) 1.0965027797853364 absolute error 0.0036781392670561797 relative error 0.33657177287948% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.079999999999826 x1[1] (closed_form) 2.0000827266619683 x1[1] (numeric) 1.9988533518547558 absolute error 0.0012293748072125243 relative error 0.061466197913937565% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.0946994027439287 x2[1] (numeric) 1.098473547185765 absolute error 0.0037741444418362136 relative error 0.34476536959608245% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.089999999999825 x1[1] (closed_form) 2.0000819035179283 x1[1] (numeric) 1.9988337548659016 absolute error 0.0012481486520266039 relative error 0.062404877011848624% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.0966120418568446 x2[1] (numeric) 1.1004844221580816 absolute error 0.003872380301237044 relative error 0.35312217570400867% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.099999999999824 x1[1] (closed_form) 2.0000810885643086 x1[1] (numeric) 1.9988139609240352 absolute error 0.0012671276402733689 relative error 0.06335381337878326% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.0985633229793346 x2[1] (numeric) 1.1025362178980997 absolute error 0.00397289491876518 relative error 0.36164459850985897% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.1099999999998227 x1[1] (closed_form) 2.0000802817196126 x1[1] (numeric) 1.9987939680497455 absolute error 0.0012863136698670896 relative error 0.064313101910147% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.1005540266906142 x2[1] (numeric) 1.104629764059118 absolute error 0.004075737368503862 relative error 0.37033505576820047% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.1199999999998216 x1[1] (closed_form) 2.0000794829031556 x1[1] (numeric) 1.998773774243729 absolute error 0.0013057086594265854 relative error 0.0652828385365627% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.1025849493390552 x2[1] (numeric) 1.1067659070846831 absolute error 0.004180957745627989 relative error 0.37919597470782324% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.1299999999998205 x1[1] (closed_form) 2.000078692035055 x1[1] (numeric) 1.998753377486588 absolute error 0.0013253145484668494 relative error 0.06626312023345234% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.1046569033607383 x2[1] (numeric) 1.1089455105480792 absolute error 0.00428860718734092 relative error 0.38822979101416316% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.1399999999998194 x1[1] (closed_form) 2.0000779090362237 x1[1] (numeric) 1.9987327757386297 absolute error 0.0013451332975940034 relative error 0.06725404503078491% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.1067707176044443 x2[1] (numeric) 1.1111694554986773 absolute error 0.004398737894232951 relative error 0.39743894776632893% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.1499999999998183 x1[1] (closed_form) 2.0000771338283605 x1[1] (numeric) 1.9987119669396622 absolute error 0.0013651668886982549 relative error 0.06825571202272485% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.1089272376632062 x2[1] (numeric) 1.1134386408152828 absolute error 0.004511403152076543 relative error 0.4068258943285788% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.159999999999817 x1[1] (closed_form) 2.000076366333945 x1[1] (numeric) 1.9986909490087885 absolute error 0.0013854173251564017 relative error 0.06926822137775733% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.111127326212564 x2[1] (numeric) 1.115753983566628 absolute error 0.004626657354063868 relative error 0.4163930851952395% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.169999999999816 x1[1] (closed_form) 2.0000756064762264 x1[1] (numeric) 1.9986697198441974 absolute error 0.0014058866320290075 relative error 0.0702916743485476% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.1133718633556486 x2[1] (numeric) 1.1181164193791484 absolute error 0.004744556023499769 relative error 0.4261429787887676% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.179999999999815 x1[1] (closed_form) 2.000074854179218 x1[1] (numeric) 1.9986482773229552 absolute error 0.0014265768562629066 relative error 0.07132617328206643% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.1156617469752388 x2[1] (numeric) 1.1205269028121907 absolute error 0.0048651558369519066 relative error 0.43607803620965097% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.189999999999814 x1[1] (closed_form) 2.00007410936769 x1[1] (numeric) 1.998626619300792 absolute error 0.0014474900668981494 relative error 0.07237182162993767% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.1179978930929315 x2[1] (numeric) 1.1229864077408054 absolute error 0.004988514647873865 relative error 0.44620071993813715% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.1999999999998128 x1[1] (closed_form) 2.000073371967161 x1[1] (numeric) 1.9986047436118872 absolute error 0.0014686283552738377 relative error 0.0734287239587304% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.1203812362355647 x2[1] (numeric) 1.125495927746273 absolute error 0.0051146915107083135 relative error 0.45651349248702777% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.2099999999998117 x1[1] (closed_form) 2.0000726419038894 x1[1] (numeric) 1.9985826480686537 absolute error 0.0014899938352357367 relative error 0.07449698596033974% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.1228127298090456 x2[1] (numeric) 1.128056476514527 absolute error 0.005243746705481334 relative error 0.46701881500516357% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.2199999999998106 x1[1] (closed_form) 2.0000719191048693 x1[1] (numeric) 1.9985603304615192 absolute error 0.0015115886433501036 relative error 0.07557671446267862% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.1252933464797286 x2[1] (numeric) 1.130669088242624 absolute error 0.0053757417628954585 relative error 0.47771914583094877% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.2299999999998095 x1[1] (closed_form) 2.000071203497819 x1[1] (numeric) 1.9985377885587035 absolute error 0.0015334149391157403 relative error 0.07666801744028072% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.1278240785634983 x2[1] (numeric) 1.1333348180534335 absolute error 0.00551073948993519 relative error 0.48861693899585656% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.2399999999998084 x1[1] (closed_form) 2.0000704950111783 x1[1] (numeric) 1.9985150201059987 absolute error 0.001555474905179599 relative error 0.0777710040250809% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.130405938422714 x2[1] (numeric) 1.1360547424187013 absolute error 0.005648803995987217 relative error 0.4997146426768729% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.2499999999998073 x1[1] (closed_form) 2.000069793574097 x1[1] (numeric) 1.99849202282654 absolute error 0.0015777707475570502 relative error 0.07888578451742904% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.1330399588711706 x2[1] (numeric) 1.1388299595906706 absolute error 0.005790000719499977 relative error 0.5110146975988791% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.259999999999806 x1[1] (closed_form) 2.000069099116432 x1[1] (numeric) 1.9984687944205801 absolute error 0.0016003046958517064 relative error 0.08001247039708134% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.135727193587241 x2[1] (numeric) 1.14166159004242 absolute error 0.005934396455179014 relative error 0.5225195353855161% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.269999999999805 x1[1] (closed_form) 2.0000684115687353 x1[1] (numeric) 1.998445332565259 absolute error 0.0016230790034763576 relative error 0.08115117433424741% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.138468717535367 x2[1] (numeric) 1.1445507769171053 absolute error 0.006082059381738336 relative error 0.534231576859238% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.279999999999804 x1[1] (closed_form) 2.000067730862253 x1[1] (numeric) 1.998421634914372 absolute error 0.00164609594788101 relative error 0.08230201020099247% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.14126562739606 x2[1] (numeric) 1.1474986864862728 absolute error 0.006233059090212878 relative error 0.5461532302899879% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.289999999999803 x1[1] (closed_form) 2.000067056928913 x1[1] (numeric) 1.998397699098134 absolute error 0.0016693578307791501 relative error 0.08346509308255072% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.1441190420045941 x2[1] (numeric) 1.1505065086174435 absolute error 0.006387466612849391 relative error 0.5582868895930624% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.2999999999998018 x1[1] (closed_form) 2.0000663897013222 x1[1] (numeric) 1.9983735227229436 absolute error 0.001692866978378671 relative error 0.08464053928887198% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.1470301027985566 x2[1] (numeric) 1.1535754572511416 absolute error 0.006545354452585084 relative error 0.5706349324761001% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.3099999999998007 x1[1] (closed_form) 2.0000657291127566 x1[1] (numeric) 1.9983491033711431 absolute error 0.0017166257416134645 relative error 0.08582846636620148% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.149999974274443 x2[1] (numeric) 1.1567067708875622 absolute error 0.006706796613119348 relative error 0.5831997185348456% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.3199999999997996 x1[1] (closed_form) 2.000065075097157 x1[1] (numeric) 1.998324438600777 absolute error 0.0017406364963801213 relative error 0.08702899310891504% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.1530298444534726 x2[1] (numeric) 1.1599017130830775 absolute error 0.0068718686296049825 relative error 0.5959835872992686% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.3299999999997985 x1[1] (closed_form) 2.000064427589122 x1[1] (numeric) 1.9982995259453478 absolute error 0.001764901643774186 relative error 0.08824223957133215% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.1561209253568183 x2[1] (numeric) 1.1631615729567746 absolute error 0.007040647599956262 relative error 0.6089888562291421% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.3399999999997974 x1[1] (closed_form) 2.000063786523899 x1[1] (numeric) 1.9982743629135682 absolute error 0.0017894236103306316 relative error 0.08946832707973984% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.1592744534904331 x2[1] (numeric) 1.1664876657072305 absolute error 0.007213212216797382 relative error 0.622217818660567% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.3499999999997963 x1[1] (closed_form) 2.0000631518373817 x1[1] (numeric) 1.9982489469891158 absolute error 0.001814204848265888 relative error 0.09070737824449428% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.1624916903396727 x2[1] (numeric) 1.1698813331397298 absolute error 0.00738964280005705 relative error 0.6356727417034562% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.359999999999795 x1[1] (closed_form) 2.0000625234661005 x1[1] (numeric) 1.9982232756303755 absolute error 0.0018392478357249775 relative error 0.09195951697237786% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.1657739228739095 x2[1] (numeric) 1.1733439442041373 absolute error 0.007570021330227883 relative error 0.649355864091211% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.369999999999794 x1[1] (closed_form) 2.0000619013472183 x1[1] (numeric) 1.9981973462701905 absolute error 0.001864555077027763 relative error 0.09322486847891161% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.1691224640613407 x2[1] (numeric) 1.176876895543641 absolute error 0.007754431482300372 relative error 0.6632693939831369% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.379999999999793 x1[1] (closed_form) 2.0000612854185222 x1[1] (numeric) 1.9981711563156033 absolute error 0.0018901291029189693 relative error 0.09450355930085667% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.1725386533941964 x2[1] (numeric) 1.1804816120545816 absolute error 0.007942958660385191 relative error 0.6774155067205997% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.389999999999792 x1[1] (closed_form) 2.0000606756184194 x1[1] (numeric) 1.9981447031475963 absolute error 0.0019159724708230907 relative error 0.09579571730895971% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.1760238574245572 x2[1] (numeric) 1.1841595474575972 absolute error 0.008135690033040044 relative error 0.6917963425382256% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.3999999999997907 x1[1] (closed_form) 2.0000600718859287 x1[1] (numeric) 1.9981179841208314 absolute error 0.0019420877650973 relative error 0.09710147172059866% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.1795794703109965 x2[1] (numeric) 1.1879121848803103 absolute error 0.008332714569313726 relative error 0.706414004231254% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.4099999999997896 x1[1] (closed_form) 2.0000594741606768 x1[1] (numeric) 1.9980909965633833 absolute error 0.001968477597293461 relative error 0.09842095311288335% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.1832069143762656 x2[1] (numeric) 1.1917410374517887 absolute error 0.008534123075523148 relative error 0.7212705547805187% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.4199999999997885 x1[1] (closed_form) 2.0000588823828904 x1[1] (numeric) 1.9980637377764732 absolute error 0.001995144606417254 relative error 0.09975429343561219% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.1869076406762449 x2[1] (numeric) 1.1956476489090206 absolute error 0.008740008232775764 relative error 0.7363680149363697% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.4299999999997874 x1[1] (closed_form) 2.0000582964933913 x1[1] (numeric) 1.9980362050342 absolute error 0.0020220914591912997 relative error 0.10110162602442829% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.1906831295803875 x2[1] (numeric) 1.199633594215643 absolute error 0.008950464635255617 relative error 0.751708360763445% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.4399999999997863 x1[1] (closed_form) 2.00005771643359 x1[1] (numeric) 1.9980083955832668 absolute error 0.0020493208503233884 relative error 0.10246308561423127% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.194534891363892 x2[1] (numeric) 1.2037004801931754 absolute error 0.009165588829283422 relative error 0.7672935211476634% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.4499999999997852 x1[1] (closed_form) 2.0000571421454807 x1[1] (numeric) 1.997980306642706 absolute error 0.00207683550277471 relative error 0.10383880835258877% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.1984644668118334 x2[1] (numeric) 1.2078499461650085 absolute error 0.00938547935317513 relative error 0.7831253752681104% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.459999999999784 x1[1] (closed_form) 2.000056573571633 x1[1] (numeric) 1.9979519354035988 absolute error 0.0021046381680343007 relative error 0.10522893181345913% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.2024734278355012 x2[1] (numeric) 1.2120836646134079 absolute error 0.009610236777906733 relative error 0.7992057500352031% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.469999999999783 x1[1] (closed_form) 2.00005601065519 x1[1] (numeric) 1.9979232790287986 absolute error 0.002132731626391271 relative error 0.10663359501080263% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.2065633781011884 x2[1] (numeric) 1.2164033418497933 absolute error 0.009839963748604852 relative error 0.8155364174976331% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.479999999999782 x1[1] (closed_form) 2.000055453339859 x1[1] (numeric) 1.9978943346526432 absolute error 0.0021611186872159127 relative error 0.10805293841263736% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.2107359536716817 x2[1] (numeric) 1.2208107186985615 absolute error 0.010074765026879762 relative error 0.8321190922204794% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.489999999999781 x1[1] (closed_form) 2.000054901569908 x1[1] (numeric) 1.9978650993806708 absolute error 0.0021898021892372554 relative error 0.10948710395491687% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.2149928236607115 x2[1] (numeric) 1.2253075711947297 absolute error 0.010314747534018176 relative error 0.8489554286370488% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.4999999999997797 x1[1] (closed_form) 2.0000543552901604 x1[1] (numeric) 1.997835570289331 absolute error 0.002218785000829504 relative error 0.11093623505585232% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.2193356909006219 x2[1] (numeric) 1.229895711295676 absolute error 0.010560020395054215 relative error 0.8660470183772285% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.5099999999997786 x1[1] (closed_form) 2.0000538144459865 x1[1] (numeric) 1.9978057444256891 absolute error 0.002248070020297366 relative error 0.11240047663017905% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.2237662926235293 x2[1] (numeric) 1.2345769876072612 absolute error 0.010810694983731883 relative error 0.8833953875748405% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.5199999999997775 x1[1] (closed_form) 2.000053278983302 x1[1] (numeric) 1.9977756188071343 absolute error 0.0022776601761678172 relative error 0.11387997510374487% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.2282864011562424 x2[1] (numeric) 1.2393532861246261 absolute error 0.011066884968383706 relative error 0.9010019941575464% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.5299999999997764 x1[1] (closed_form) 2.0000527488485607 x1[1] (numeric) 1.9977451904210795 absolute error 0.0023075584274812044 relative error 0.11537487842806526% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.232897824629217 x2[1] (numeric) 1.2442265309879552 absolute error 0.011328706358738172 relative error 0.918868225121995% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.5399999999997753 x1[1] (closed_form) 2.000052223988748 x1[1] (numeric) 1.9977144562246607 absolute error 0.0023377677640874506 relative error 0.116885336095134% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.2376024076998366 x2[1] (numeric) 1.2491986852535157 absolute error 0.01159627755367909 relative error 0.936995393797877% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.5499999999997742 x1[1] (closed_form) 2.0000517043513777 x1[1] (numeric) 1.9976834131444328 absolute error 0.002368291206944928 relative error 0.11841149915236675% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.2424020322903022 x2[1] (numeric) 1.2542717516802755 absolute error 0.011869719389973277 relative error 0.9553847371041464% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.559999999999773 x1[1] (closed_form) 2.0000511898844855 x1[1] (numeric) 1.997652058076062 absolute error 0.002399131808423549 relative error 0.11995352021775567% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.2472986183404289 x2[1] (numeric) 1.2594477735324148 absolute error 0.012149155191985894 relative error 0.974037412801013% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.569999999999772 x1[1] (closed_form) 2.0000506805366247 x1[1] (numeric) 1.9976203878840146 absolute error 0.0024302926526100777 relative error 0.12151155349513526% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.2522941245756496 x2[1] (numeric) 1.2647288353980577 absolute error 0.012434710822408102 relative error 0.9929544967418663% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.579999999999771 x1[1] (closed_form) 2.0000501762568597 x1[1] (numeric) 1.9975883994012456 absolute error 0.002461776855614106 relative error 0.12308575478948128% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.2573905492905348 x2[1] (numeric) 1.2701170640245454 absolute error 0.012726514734010541 relative error 1.012136980128513% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.58999999999977 x1[1] (closed_form) 2.0000496769947618 x1[1] (numeric) 1.9975560894288804 absolute error 0.002493587565881361 relative error 0.124676281522576% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.2625899311481383 x2[1] (numeric) 1.2756146291705897 absolute error 0.01302469802245132 relative error 1.031585766774434% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.5999999999997687 x1[1] (closed_form) 2.000049182700405 x1[1] (numeric) 1.9975234547358944 absolute error 0.002525727964510782 relative error 0.12628329274886238% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.267894349995494 x2[1] (numeric) 1.2812237444756442 absolute error 0.013329394480150247 relative error 1.0513016703795248% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.6099999999997676 x1[1] (closed_form) 2.0000486933243593 x1[1] (numeric) 1.9974904920587913 absolute error 0.0025582012655680497 relative error 0.12790694917112058% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.2733059276955823 x2[1] (numeric) 1.2869466683468445 absolute error 0.013640740651262195 relative error 1.071285411821579% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.6199999999997665 x1[1] (closed_form) 2.0000482088176867 x1[1] (numeric) 1.9974571981012754 absolute error 0.002591010716411324 relative error 0.12954741315675486% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.2788268289761089 x2[1] (numeric) 1.292785704863868 absolute error 0.013958875887759126 relative error 1.091537616468% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.6299999999997654 x1[1] (closed_form) 2.000047729131936 x1[1] (numeric) 1.9974235695339237 absolute error 0.002624159598012321 relative error 0.13120484875384766% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.2844592622954252 x2[1] (numeric) 1.2987432047020817 absolute error 0.014283942406656536 relative error 1.1120588115134191% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.6399999999997643 x1[1] (closed_form) 2.000047254219138 x1[1] (numeric) 1.9973896029938516 absolute error 0.0026576512252864948 relative error 0.13287942170766856% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.2902054807259442 x2[1] (numeric) 1.3048215660743405 absolute error 0.014616085348396313 relative error 1.1328494233470825% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.649999999999763 x1[1] (closed_form) 2.000046784031802 x1[1] (numeric) 1.997355295084376 absolute error 0.0026914889474258796 relative error 0.1345712994773168% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.2960677828554026 x2[1] (numeric) 1.3110232356918194 absolute error 0.01495545283641686 relative error 1.1539097749554494% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.659999999999762 x1[1] (closed_form) 2.0000463185229074 x1[1] (numeric) 1.9973206423746783 absolute error 0.0027256761482290504 relative error 0.1362806512522191% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.302048513706327 x2[1] (numeric) 1.3173507097442585 absolute error 0.015302196037931592 relative error 1.1752400833647398% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.669999999999761 x1[1] (closed_form) 2.000045857645904 x1[1] (numeric) 1.997285641399458 absolute error 0.002760216246446179 relative error 0.1380076479693826% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.308150065674078 x2[1] (numeric) 1.323806534900015 absolute error 0.015656469225936887 relative error 1.1968404571282307% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.67999999999976 x1[1] (closed_form) 2.0000454013547033 x1[1] (numeric) 1.9972502886585888 absolute error 0.0027951126961145434 relative error 0.13975246233017072% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.3143748794838437 x2[1] (numeric) 1.3303933093263254 absolute error 0.016018429842481696 relative error 1.2187108938640208% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.689999999999759 x1[1] (closed_form) 2.000044949603676 x1[1] (numeric) 1.997214580616767 absolute error 0.0028303689869091375 relative error 0.14151526881783313% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.3207254451669612 x2[1] (numeric) 1.3371136837301807 absolute error 0.01638823856321947 relative error 1.240851277848117% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.6999999999997577 x1[1] (closed_form) 2.0000445023476465 x1[1] (numeric) 1.9971785137031584 absolute error 0.002865988644488171 relative error 0.14329624371478145% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.327204303056968 x2[1] (numeric) 1.3439703624202375 absolute error 0.01676605936326947 relative error 1.2632613776682289% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.7099999999997566 x1[1] (closed_form) 2.000044059541889 x1[1] (numeric) 1.997142084311042 absolute error 0.0029019752308472313 relative error 0.1450955651202969% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.3338140448057696 x2[1] (numeric) 1.3509661043901826 absolute error 0.017152059584413015 relative error 1.2859408439435576% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.7199999999997555 x1[1] (closed_form) 2.0000436211421224 x1[1] (numeric) 1.9971052887974474 absolute error 0.0029383323446749987 relative error 0.14691341296831653% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.3405573144203378 x2[1] (numeric) 1.3581037244239915 absolute error 0.017546410003653756 relative error 1.3088892071161384% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.7299999999997544 x1[1] (closed_form) 2.000043187104506 x1[1] (numeric) 1.9970681234827936 absolute error 0.0029750636217122928 relative error 0.14874996904538543% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.347436809320351 x2[1] (numeric) 1.365386094223518 absolute error 0.01794928490316705 relative error 1.3321058753189838% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.7399999999997533 x1[1] (closed_form) 2.0000427573856365 x1[1] (numeric) 1.9970305846505183 absolute error 0.0030121727351182237 relative error 0.15060541700896418% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.3544552814171997 x2[1] (numeric) 1.3728161435588704 absolute error 0.018360862141670653 relative error 1.355590132326793% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.749999999999752 x1[1] (closed_form) 2.0000423319425407 x1[1] (numeric) 1.9969926685467063 absolute error 0.0030496633958343455 relative error 0.152479942405637% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.36161553821479 x2[1] (numeric) 1.3803968614420292 absolute error 0.018781323227239133 relative error 1.3793411355942125% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.759999999999751 x1[1] (closed_form) 2.000041910732675 x1[1] (numeric) 1.9969543713797155 absolute error 0.0030875393529594675 relative error 0.15437373268985197% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.3689204439325862 x2[1] (numeric) 1.3881312973241835 absolute error 0.019210853391597338 relative error 1.403357914387565% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.76999999999975 x1[1] (closed_form) 2.000041493713917 x1[1] (numeric) 1.996915689319798 absolute error 0.003125804394118914 relative error 0.15628697724238438% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.376372920651336 x2[1] (numeric) 1.396022562317256 absolute error 0.01964964166591998 relative error 1.4276393680152653% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.779999999999749 x1[1] (closed_form) 2.0000410808445652 x1[1] (numeric) 1.9968766184987148 absolute error 0.0031644623458504384 relative error 0.15821986738963223% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.3839759494819466 x2[1] (numeric) 1.4040738304401148 absolute error 0.020097880958168224 relative error 1.4521842641623444% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.789999999999748 x1[1] (closed_form) 2.000040672083332 x1[1] (numeric) 1.9968371550093518 absolute error 0.0032035170739801444 relative error 0.16017259642241263% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.3917325717579698 x2[1] (numeric) 1.412288339889963 absolute error 0.020555768131993224 relative error 1.476991237334351% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.7999999999997467 x1[1] (closed_form) 2.000040267389341 x1[1] (numeric) 1.9967972949053265 absolute error 0.003242972484014617 relative error 0.16214535961556809% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.399645890252178 x2[1] (numeric) 1.420669394339419 absolute error 0.021023504087241074 relative error 1.502058787416095% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.8099999999997456 x1[1] (closed_form) 2.0000398667221226 x1[1] (numeric) 1.9967570342005962 absolute error 0.003282832521526391 relative error 0.16413835424724033% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.4077190704177165 x2[1] (numeric) 1.4292203642598054 absolute error 0.021501293842088876 relative error 1.5273852783502275% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.8199999999997445 x1[1] (closed_form) 2.0000394700416098 x1[1] (numeric) 1.9967163688690563 absolute error 0.003323101172553411 relative error 0.166151779618843% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.4159553416543296 x2[1] (numeric) 1.4379446882711768 absolute error 0.02198934661684726 relative error 1.5529689369409092% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.8299999999997434 x1[1] (closed_form) 2.000039077308134 x1[1] (numeric) 1.9966752948441402 absolute error 0.003363782463993603 relative error 0.1681858370747906% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.424357998600165 x2[1] (numeric) 1.4468458745196249 absolute error 0.022487875919459777 relative error 1.578807851787295% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.8399999999997423 x1[1] (closed_form) 2.0000386884824213 x1[1] (numeric) 1.9966338080184107 absolute error 0.0034048804640105512 relative error 0.17024073002278212% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.4329304024496763 x2[1] (numeric) 1.4559275020824152 absolute error 0.022997099632738882 relative error 1.6048999723520436% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.849999999999741 x1[1] (closed_form) 2.000038303525589 x1[1] (numeric) 1.9965919042431506 absolute error 0.003446399282438506 relative error 0.1723166639540517% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.4416759822981446 x2[1] (numeric) 1.4651932224015123 absolute error 0.023517240103367643 relative error 1.631243108169099% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.85999999999974 x1[1] (closed_form) 2.0000379223991414 x1[1] (numeric) 1.9965495793279477 absolute error 0.0034883430711936114 relative error 0.17441384646392988% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.4505982365133678 x2[1] (numeric) 1.4746467607460725 absolute error 0.02404852423270465 relative error 1.6578349281953668% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.869999999999739 x1[1] (closed_form) 2.0000375450649654 x1[1] (numeric) 1.9965068290402748 absolute error 0.0035307160246906832 relative error 0.1765324872726826% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.4597007341350539 x2[1] (numeric) 1.484291917704488 absolute error 0.024591183569434127 relative error 1.6846729603109807% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.879999999999738 x1[1] (closed_form) 2.000037171485327 x1[1] (numeric) 1.9964636491050682 absolute error 0.0035735223802588756 relative error 0.1786727982462946% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.4689871163024875 x2[1] (numeric) 1.4941325707065773 absolute error 0.025145454404089884 relative error 1.71175459097165% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.889999999999737 x1[1] (closed_form) 2.0000368016228682 x1[1] (numeric) 1.9964200352042984 absolute error 0.0036167664185697834 relative error 0.1808349934178746% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.4784610977110348 x2[1] (numeric) 1.504172675576532 absolute error 0.02571157786549705 relative error 1.7390770650173966% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.8999999999997357 x1[1] (closed_form) 2.0000364354406024 x1[1] (numeric) 1.9963759829765384 absolute error 0.00366045246406399 relative error 0.18301928900898262% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.4881264680980755 x2[1] (numeric) 1.5144162681172428 absolute error 0.026289800019167364 relative error 1.7666374856410878% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.9099999999997346 x1[1] (closed_form) 2.000036072901911 x1[1] (numeric) 1.996331488016529 absolute error 0.003704584885381834 relative error 0.18522590345116843% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.497987093758947 x2[1] (numeric) 1.5248674657266381 absolute error 0.026880371967691108 relative error 1.7944328145204063% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.9199999999997335 x1[1] (closed_form) 2.00003571397054 x1[1] (numeric) 1.9962865458747372 absolute error 0.003749168095802835 relative error 0.18745505740794283% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.5080469190935182 x2[1] (numeric) 1.535530469046679 absolute error 0.027483549953160713 relative error 1.8224598721159804% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.9299999999997324 x1[1] (closed_form) 2.0000353586105954 x1[1] (numeric) 1.9962411520569114 absolute error 0.0037942065536840097 relative error 0.18970697379669363% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.5183099681840033 x2[1] (numeric) 1.546409563645675 absolute error 0.028099595461671623 relative error 1.8507153381387962% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.9399999999997313 x1[1] (closed_form) 2.0000350067865416 x1[1] (numeric) 1.996195302023632 absolute error 0.0038397047629095127 relative error 0.19198187781116746% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.5287803464046492 x2[1] (numeric) 1.557509121734591 absolute error 0.02872877532994189 relative error 1.879195752189356% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.94999999999973 x1[1] (closed_form) 2.000034658463196 x1[1] (numeric) 1.9961489911898576 absolute error 0.003885667273338278 relative error 0.194279996943852% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.5394622420639432 x2[1] (numeric) 1.5688336039180342 absolute error 0.02937136185409095 relative error 1.9078975145706092% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.959999999999729 x1[1] (closed_form) 2.000034313605725 x1[1] (numeric) 1.9961022149244654 absolute error 0.003932098681259433 relative error 0.19660156100874696% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.5503599280799933 x2[1] (numeric) 1.580387560980616 absolute error 0.030027632900622603 relative error 1.936816887276596% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.969999999999728 x1[1] (closed_form) 2.000033972179643 x1[1] (numeric) 1.9960549685497908 absolute error 0.0039790036298523734 relative error 0.19894680216436736% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.5614777636897537 x2[1] (numeric) 1.592175635709413 absolute error 0.030697872019659345 relative error 1.9659499951584731% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.979999999999727 x1[1] (closed_form) 2.000033634150808 x1[1] (numeric) 1.9960072473411563 absolute error 0.0040263868096517275 relative error 0.20131595493699217% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.5728201961927808 x2[1] (numeric) 1.6042025647532476 absolute error 0.03138236856046683 relative error 1.9952928272686226% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.9899999999997258 x1[1] (closed_form) 2.0000332994854157 x1[1] (numeric) 1.9959590465264017 absolute error 0.004074252959014091 relative error 0.20370925624400085% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.584391762730211 x2[1] (numeric) 1.6164731805195371 absolute error 0.03208141778932605 relative error 2.024841238384351% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 3.9999999999997247 x1[1] (closed_form) 2.0000329681499998 x1[1] (numeric) 1.995910361285405 absolute error 0.004122606864594758 relative error 0.20612694541771015% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.596197092099684 x2[1] (numeric) 1.628992413109469 absolute error 0.032795321009785106 relative error 2.0545909507105535% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.009999999999728 x1[1] (closed_form) 2.000032640111426 x1[1] (numeric) 1.9958611867496021 absolute error 0.004171453361824007 relative error 0.2085692642291881% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.6082409066069265 x2[1] (numeric) 1.6417652922922759 absolute error 0.03352438568534932 relative error 2.0845375557620414% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.019999999999731 x1[1] (closed_form) 2.0000323153368913 x1[1] (numeric) 1.9958115180014975 absolute error 0.004220797335393822 relative error 0.21103645691259035% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.6205280239547255 x2[1] (numeric) 1.6547969495194013 absolute error 0.034268925564675756 relative error 2.114676516426177% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.029999999999735 x1[1] (closed_form) 2.0000319937939164 x1[1] (numeric) 1.995761350074176 absolute error 0.004270643719740397 relative error 0.2135287701892855% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.6330633591700894 x2[1] (numeric) 1.6680926199793613 absolute error 0.035029260809271934 relative error 2.1450031692018086% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.039999999999738 x1[1] (closed_form) 2.000031675450348 x1[1] (numeric) 1.9957106779508025 absolute error 0.004320997499545509 relative error 0.21604645329292338% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.6458519265703226 x2[1] (numeric) 1.681657644694127 absolute error 0.03580571812380429 relative error 2.175512726616747% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.049999999999741 x1[1] (closed_form) 2.000031360274351 x1[1] (numeric) 1.9956594965641228 absolute error 0.004371863710228352 relative error 0.21858975799402708% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.6588988417688193 x2[1] (numeric) 1.695497472657858 absolute error 0.0365986308890387 relative error 2.206200279820257% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.059999999999745 x1[1] (closed_form) 2.0000310482344075 x1[1] (numeric) 1.9956078007959552 absolute error 0.004423247438452238 relative error 0.221158938625328% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.6722093237213798 x2[1] (numeric) 1.7096176630188582 absolute error 0.03740833929747844 relative error 2.2370608013492546% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.069999999999748 x1[1] (closed_form) 2.0000307392993135 x1[1] (numeric) 1.99555558547668 absolute error 0.004475153822633526 relative error 0.2237542521072122% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.6857886968138631 x2[1] (numeric) 1.7240238873056077 absolute error 0.03823519049174462 relative error 2.2680891480651786% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.079999999999751 x1[1] (closed_form) 2.000030433438175 x1[1] (numeric) 1.9955028453847214 absolute error 0.004527588053453435 relative error 0.22637595797331111% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.6996423929920144 x2[1] (numeric) 1.7387219316977796 absolute error 0.03907953870576519 relative error 2.299280064259306% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.089999999999755 x1[1] (closed_form) 2.0000301306204054 x1[1] (numeric) 1.9954495752460268 absolute error 0.004580555374378514 relative error 0.2290243183965251% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.713775953934317 x2[1] (numeric) 1.7537176993431383 absolute error 0.03994174540882134 relative error 2.330628184922716% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.099999999999758 x1[1] (closed_form) 2.0000298308157234 x1[1] (numeric) 1.9953957697335378 absolute error 0.004634061082185559 relative error 0.23169959821526917% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.728195033268739 x2[1] (numeric) 1.7690172127212487 absolute error 0.040822179452509655 relative error 2.3621280391772594% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.109999999999761 x1[1] (closed_form) 2.000029533994147 x1[1] (numeric) 1.9953414234666587 absolute error 0.00468811052748852 relative error 0.23440206495981875% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.7429053988342627 x2[1] (numeric) 1.7846266160549482 absolute error 0.04172121722068556 relative error 2.393774053863777% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.119999999999765 x1[1] (closed_form) 2.0000292401259956 x1[1] (numeric) 1.9952865310107166 absolute error 0.004742709115278965 relative error 0.23713198887933204% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.7579129349880964 x2[1] (numeric) 1.8005521777705376 absolute error 0.042639242782441134 relative error 2.425560557282654% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.129999999999768 x1[1] (closed_form) 2.0000289491818806 x1[1] (numeric) 1.9952310868764207 absolute error 0.004797862305459866 relative error 0.2398896429685405% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.773223644959499 x2[1] (numeric) 1.8168002930076805 absolute error 0.04357664804818162 relative error 2.45748178308196% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.139999999999771 x1[1] (closed_form) 2.000028661132708 x1[1] (numeric) 1.9951750855193113 absolute error 0.004853575613396721 relative error 0.242675302995304% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.788843653251152 x2[1] (numeric) 1.8333774861800172 absolute error 0.04453383292886515 relative error 2.489531874287989% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.149999999999775 x1[1] (closed_form) 2.0000283759496726 x1[1] (numeric) 1.995118521339206 absolute error 0.0049098546104666685 relative error 0.24548924752806692% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.804779208089045 x2[1] (numeric) 1.8502904135875087 absolute error 0.04551120549846366 relative error 2.521704887472208% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.159999999999778 x1[1] (closed_form) 2.000028093604256 x1[1] (numeric) 1.9950613886796393 absolute error 0.004966704924616483 relative error 0.24833175796375792% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.8210366839218497 x2[1] (numeric) 1.8675458660815683 absolute error 0.046509182159718554 relative error 2.5539947970490475% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.169999999999781 x1[1] (closed_form) 2.000027814068223 x1[1] (numeric) 1.9950036818272985 absolute error 0.0050241322409243505 relative error 0.2512031185558789% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.8376225839707863 x2[1] (numeric) 1.8851507717840381 absolute error 0.047528187813251854 relative error 2.586395499697855% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.179999999999785 x1[1] (closed_form) 2.00002753731362 x1[1] (numeric) 1.9949453950114497 absolute error 0.0050821423021703005 relative error 0.25410361644302604% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.8545435428310004 x2[1] (numeric) 1.9031121988611 absolute error 0.04856865603009952 relative error 2.6189008189022314% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.189999999999788 x1[1] (closed_form) 2.0000272633127714 x1[1] (numeric) 1.9948865224033625 absolute error 0.0051407409094088585 relative error 0.2570335416775232% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.8718063291254898 x2[1] (numeric) 1.9214373583532327 absolute error 0.04963102922774287 relative error 2.6515045096001226% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.1999999999997915 x1[1] (closed_form) 2.000026992038277 x1[1] (numeric) 1.9948270581157272 absolute error 0.005199933922549693 relative error 0.2599931872544536% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.8894178482126465 x2[1] (numeric) 1.94013360706235 absolute error 0.050715758849703585 relative error 2.6842002629370594% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.209999999999795 x1[1] (closed_form) 2.0000267234630087 x1[1] (numeric) 1.9947669962020662 absolute error 0.005259727260942482 relative error 0.26298284914090364% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.907385144948493 x2[1] (numeric) 1.9592084504972669 absolute error 0.05182330554877379 relative error 2.716981711114942% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.219999999999798 x1[1] (closed_form) 2.000026457560109 x1[1] (numeric) 1.9947063306561372 absolute error 0.005320126903971767 relative error 0.26600282630570526% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.9257154065047206 x2[1] (numeric) 1.9786695458786787 absolute error 0.0529541393739581 relative error 2.7498424323287094% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.2299999999998015 x1[1] (closed_form) 2.000026194302987 x1[1] (numeric) 1.9946450554113357 absolute error 0.005381138891651371 relative error 0.26905342074915717% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.9444159652436535 x2[1] (numeric) 1.9985247052048565 absolute error 0.05410873996120302 relative error 2.78277595578283% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.239999999999805 x1[1] (closed_form) 2.0000259336653174 x1[1] (numeric) 1.9945831643400855 absolute error 0.005442769325231911 relative error 0.27213493753339996% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.9634943016512951 x2[1] (numeric) 2.018781898379278 absolute error 0.05528759672798267 relative error 2.815775766778946% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.249999999999808 x1[1] (closed_form) 2.0000256756210364 x1[1] (numeric) 1.9945206512532283 absolute error 0.005505024367808087 relative error 0.2752476848127811% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 1.9829580473296227 x2[1] (numeric) 2.039449256401455 absolute error 0.05649120907183236 relative error 2.848835311866886% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.2599999999998115 x1[1] (closed_form) 2.0000254201443384 x1[1] (numeric) 1.994457509899403 absolute error 0.0055679102449353035 relative error 0.27839197386468606% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 2.00281498804933 x2[1] (numeric) 2.060535074622227 absolute error 0.05772008657289707 relative error 2.8819480040497583% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.269999999999815 x1[1] (closed_form) 2.000025167209676 x1[1] (numeric) 1.9943937339644222 absolute error 0.005631433245253614 relative error 0.2815681191207347% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 2.023073066864241 x2[1] (numeric) 2.082047816064822 absolute error 0.05897474920058121 relative error 2.915107228034623% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.279999999999818 x1[1] (closed_form) 2.0000249167917556 x1[1] (numeric) 1.994329317070639 absolute error 0.005695599721116551 relative error 0.2847764381982238% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 2.0437403872886413 x2[1] (numeric) 2.1039961148130266 absolute error 0.06025572752438535 relative error 2.9483063455199665% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.2899999999998215 x1[1] (closed_form) 2.000024668865535 x1[1] (numeric) 1.99426425277631 absolute error 0.005760416089225284 relative error 0.28801725193183436% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 2.0648252165387904 x2[1] (numeric) 2.126388779467795 absolute error 0.06156356292900478 relative error 2.9815387005105487% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.299999999999825 x1[1] (closed_form) 2.000024423406222 x1[1] (numeric) 1.9941985345749516 absolute error 0.005825888831270332 relative error 0.29129088440571727% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 2.0863359888399193 x2[1] (numeric) 2.149234796673716 absolute error 0.06289880783379687 relative error 3.0147976246515764% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.309999999999828 x1[1] (closed_form) 2.0000241803892695 x1[1] (numeric) 1.9941321558946887 absolute error 0.0058920244945808165 relative error 0.29459766298595635% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 2.108281308800036 x2[1] (numeric) 2.1725433347167122 absolute error 0.06426202591667618 relative error 3.0480764425716984% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.3199999999998315 x1[1] (closed_form) 2.0000239397903763 x1[1] (numeric) 1.994065110097599 absolute error 0.005958829692777279 relative error 0.2979379183532087% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 2.130669954851885 x2[1] (numeric) 2.196323747194436 absolute error 0.06565379234255131 relative error 3.0813684772269334% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.329999999999835 x1[1] (closed_form) 2.0000237015854823 x1[1] (numeric) 1.993997390479046 absolute error 0.006026311106436255 relative error 0.3013119845359336% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 2.153510882764435 x2[1] (numeric) 2.2205855767608207 absolute error 0.06707469399638555 relative error 3.1146670552359876% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.339999999999838 x1[1] (closed_form) 2.000023465750766 x1[1] (numeric) 1.9939289902670116 absolute error 0.0060944754837544135 relative error 0.3047201989435998% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 2.1768132292253135 x2[1] (numeric) 2.245338558946287 absolute error 0.06852532972097336 relative error 3.1479655121978576% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.3499999999998415 x1[1] (closed_form) 2.000023232262645 x1[1] (numeric) 1.9938599026214179 absolute error 0.0061633296412269 relative error 0.30816290240060207% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 2.200586315495598 x2[1] (numeric) 2.27059262605513 absolute error 0.0700063105595321 relative error 3.181257197982977% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.359999999999845 x1[1] (closed_form) 2.000023001097769 x1[1] (numeric) 1.9937901206334425 absolute error 0.006232880464326573 relative error 0.3116404391802235% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 2.224839651138451 x2[1] (numeric) 2.296357911141656 absolute error 0.07151826000320494 relative error 3.2145354819889613% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.369999999999848 x1[1] (closed_form) 2.0000227722330224 x1[1] (numeric) 1.9937196373248283 absolute error 0.006303134908194119 relative error 0.31515315703914104% Desired digits 12 Estimated correct digits 11 Correct digits 3 h 0.001 x2[1] (closed_form) 2.249582937823069 x2[1] (numeric) 2.3226447520666436 absolute error 0.07306181424357439 relative error 3.2477937583522305% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.379999999999852 x1[1] (closed_form) 2.000022545645518 x1[1] (numeric) 1.9936484456471861 absolute error 0.006374099998331939 relative error 0.31870140725211993% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 2.2748260732054866 x2[1] (numeric) 2.349463695635769 absolute error 0.07463762243028249 relative error 3.281025451106671% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.389999999999855 x1[1] (closed_form) 2.000022321312597 x1[1] (numeric) 1.9935765384812887 absolute error 0.0064457828313082555 relative error 0.32228554464721904% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 2.300579154887764 x2[1] (numeric) 2.3768255018216395 absolute error 0.07624634693387566 relative error 3.314224019281589% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.399999999999858 x1[1] (closed_form) 2.0000220992118254 x1[1] (numeric) 1.9935039086363593 absolute error 0.0065181905754660985 relative error 0.3259059276412399% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 2.326852484457172 x2[1] (numeric) 2.4047411480711336 absolute error 0.07788866361396174 relative error 3.3473829619298914% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.409999999999862 x1[1] (closed_form) 2.000021879320994 x1[1] (numeric) 1.993430548849353 absolute error 0.006591330471641177 relative error 0.3295629182756205% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 2.353656571606959 x2[1] (numeric) 2.433221833699754 absolute error 0.07956526209279513 relative error 3.3804958230788933% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.419999999999865 x1[1] (closed_form) 2.0000216616181126 x1[1] (numeric) 1.9933564517842302 absolute error 0.006665209833882413 relative error 0.3332568822524623% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 2.381002138340372 x2[1] (numeric) 2.462278984374782 absolute error 0.08127684603440999 relative error 3.4135561965963763% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.429999999999868 x1[1] (closed_form) 2.000021446081411 x1[1] (numeric) 1.993281610031222 absolute error 0.00673983605018913 relative error 0.3369881889713888% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 2.408900123259603 x2[1] (numeric) 2.491924256688988 absolute error 0.08302413342938486 relative error 3.446557730963157% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.439999999999872 x1[1] (closed_form) 2.0000212326893356 x1[1] (numeric) 1.9932060161060918 absolute error 0.006815216583243799 relative error 0.34075721156618394% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 2.437361685941375 x2[1] (numeric) 2.5221695428267674 absolute error 0.0848078568853925 relative error 3.4794941339466168% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.449999999999875 x1[1] (closed_form) 2.0000210214205465 x1[1] (numeric) 1.9931296624493833 absolute error 0.0068913589711632195 relative error 0.34456432694235% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 2.466398211400923 x2[1] (numeric) 2.553026975324533 absolute error 0.0866287639236103 relative error 3.5123591771664824% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.459999999999878 x1[1] (closed_form) 2.0000208122539176 x1[1] (numeric) 1.993052541425667 absolute error 0.006968270828250578 relative error 0.3484099158147112% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 2.496021314646154 x2[1] (numeric) 2.5845089319272994 absolute error 0.08848761728114551 relative error 3.545146700547703% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.469999999999882 x1[1] (closed_form) 2.000020605168531 x1[1] (numeric) 1.9929746453227768 absolute error 0.0070459598457541794 relative error 0.35229436274535053% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 2.5262428453238046 x2[1] (numeric) 2.61662804054338 absolute error 0.09038519521957555 relative error 3.5778506166532185% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.479999999999885 x1[1] (closed_form) 2.0000204001436783 x1[1] (numeric) 1.992895966351037 absolute error 0.0071244337926412715 relative error 0.3562180561823001% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 2.5570748924594597 x2[1] (numeric) 2.649397184299188 absolute error 0.09232229183972818 relative error 3.610464914890711% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.489999999999888 x1[1] (closed_form) 2.0000201971588574 x1[1] (numeric) 1.9928164966424857 absolute error 0.007203700516371647 relative error 0.3601813884982219% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 2.588529789293325 x2[1] (numeric) 2.6828295066961663 absolute error 0.09429971740284149 relative error 3.642983665588239% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.499999999999892 x1[1] (closed_form) 2.000019996193769 x1[1] (numeric) 1.9927362282500851 absolute error 0.007283767943683683 relative error 0.36418475602970957% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 2.6206201182136875 x2[1] (numeric) 2.716938416871903 absolute error 0.09631829865821562 relative error 3.6754010239328303% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.509999999999895 x1[1] (closed_form) 2.0000197972283162 x1[1] (numeric) 1.9926551531469292 absolute error 0.0073646440813870395 relative error 0.3682285591169233% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 2.65335871579004 x2[1] (numeric) 2.751737594967542 absolute error 0.09837887917750221 relative error 3.7077112337677196% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.519999999999898 x1[1] (closed_form) 2.0000196002426036 x1[1] (numeric) 1.9925732632254403 absolute error 0.007446337017163351 relative error 0.3723132021436243% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 2.6867586779078843 x2[1] (numeric) 2.7872409976036323 absolute error 0.10048231969574806 relative error 3.7399086312430287% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.529999999999902 x1[1] (closed_form) 2.000019405216931 x1[1] (numeric) 1.992490550296558 absolute error 0.00752885492037314 relative error 0.37643909357752087% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 2.7208333650072545 x2[1] (numeric) 2.823462863466614 absolute error 0.10262949845935943 relative error 3.771987648316926% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.539999999999905 x1[1] (closed_form) 2.0000192121317966 x1[1] (numeric) 1.9924070060889203 absolute error 0.007612206042876268 relative error 0.3806066460112905% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 2.755596407427077 x2[1] (numeric) 2.860417719008166 absolute error 0.10482131158108876 relative error 3.80394281610206% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.549999999999908 x1[1] (closed_form) 2.000019020967891 x1[1] (numeric) 1.992322622248037 absolute error 0.007696398719853947 relative error 0.3848162762036806% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 2.7910617108574898 x2[1] (numeric) 2.8981203842597023 absolute error 0.10705867340221253 relative error 3.8357687680549786% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.559999999999912 x1[1] (closed_form) 2.000018831706098 x1[1] (numeric) 1.9922373903354538 absolute error 0.007781441370644293 relative error 0.389068405121286% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 2.827243461902298 x2[1] (numeric) 2.9365859787643442 absolute error 0.10934251686204632 relative error 3.8674602430055924% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.569999999999915 x1[1] (closed_form) 2.0000186443274917 x1[1] (numeric) 1.9921513018279078 absolute error 0.007867342499583874 relative error 0.3933634579806267% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 2.864156133753814 x2[1] (numeric) 2.975829927628733 absolute error 0.11167379387491883 relative error 3.899012088023189% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.579999999999918 x1[1] (closed_form) 2.0000184588133334 x1[1] (numeric) 1.9920643481164775 absolute error 0.00795411069685592 relative error 0.39770186429055837% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 2.901814491982324 x2[1] (numeric) 3.0158679676971154 absolute error 0.1140534757147913 relative error 3.930419261118158% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.589999999999922 x1[1] (closed_form) 2.000018275145072 x1[1] (numeric) 1.9919765205057183 absolute error 0.008041754639353638 relative error 0.40208405789543733% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 2.9402336004425127 x2[1] (numeric) 3.056716153850169 absolute error 0.11648255340765612 relative error 3.961676833776922% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.599999999999925 x1[1] (closed_form) 2.0000180933043405 x1[1] (numeric) 1.9918878102127966 absolute error 0.008130283091543955 relative error 0.40651047701830856% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 2.9794288272992095 x2[1] (numeric) 3.0983908654310746 absolute error 0.11896203813186501 relative error 3.9927799933285075% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.609999999999928 x1[1] (closed_form) 2.0000179132729543 x1[1] (numeric) 1.991798208366609 absolute error 0.008219704906345271 relative error 0.41098156430479327% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 3.0194158511748608 x2[1] (numeric) 3.1409088128014315 absolute error 0.12149296162657075 relative error 4.023724045142626% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.619999999999932 x1[1] (closed_form) 2.0000177350329102 x1[1] (numeric) 1.9917077060068962 absolute error 0.008310029026014076 relative error 0.41549776686741907% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 3.060210667421184 x2[1] (numeric) 3.184287044029611 absolute error 0.12407637660842674 relative error 4.054504414657993% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.629999999999935 x1[1] (closed_form) 2.0000175585663844 x1[1] (numeric) 1.9916162940833468 absolute error 0.008401264483037574 relative error 0.4200595363302516% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 3.1018295945175307 x2[1] (numeric) 3.2285429517142483 absolute error 0.1267133571967176 relative error 4.0851166492409146% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.639999999999938 x1[1] (closed_form) 2.0000173838557296 x1[1] (numeric) 1.9915239634546917 absolute error 0.008493420401037843 relative error 0.4246673288741031% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 3.1442892805984877 x2[1] (numeric) 3.2736942799455844 absolute error 0.1294049993470967 relative error 4.115556419874497% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.649999999999942 x1[1] (closed_form) 2.000017210883475 x1[1] (numeric) 1.9914307048877922 absolute error 0.00858650599568267 relative error 0.4293216052820726% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 3.187606710113361 x2[1] (numeric) 3.3197591314074497 absolute error 0.13215242129408855 relative error 4.145819522678468% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.659999999999945 x1[1] (closed_form) 2.000017039632323 x1[1] (numeric) 1.9913365090567132 absolute error 0.00868053057560969 relative error 0.43402283098575467% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 3.2317992106201787 x2[1] (numeric) 3.36675597462274 absolute error 0.13495676400256107 relative error 4.1759018802613985% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.669999999999948 x1[1] (closed_form) 2.0000168700851484 x1[1] (numeric) 1.9912413665417934 absolute error 0.00877550354335499 relative error 0.43877147611166817% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 3.276884459716947 x2[1] (numeric) 3.4147036513452633 absolute error 0.13781919162831624 relative error 4.205799542905486% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.679999999999952 x1[1] (closed_form) 2.000016702224997 x1[1] (numeric) 1.9911452678287016 absolute error 0.00887143439629523 relative error 0.44356801552836317% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 3.322880492112928 x2[1] (numeric) 3.463621384100936 absolute error 0.140740891988008 relative error 4.235508689586207% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.689999999999955 x1[1] (closed_form) 2.0000165360350812 x1[1] (numeric) 1.9910482033074866 absolute error 0.008968332727594674 relative error 0.44841292889377216% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 3.369805706842761 x2[1] (numeric) 3.513528783881329 absolute error 0.14372307703856801 relative error 4.265025628828466% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.699999999999958 x1[1] (closed_form) 2.000016371498783 x1[1] (numeric) 1.9909501632716156 absolute error 0.009066208227167305 relative error 0.45330670070331586% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 3.417678874626327 x2[1] (numeric) 3.5644458579926495 absolute error 0.14676698336632255 relative error 4.294346799401081% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.709999999999962 x1[1] (closed_form) 2.0000162085996482 x1[1] (numeric) 1.990851137917003 absolute error 0.00916507068264516 relative error 0.4582498203383196% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 3.4665191453772826 x2[1] (numeric) 3.616393018063298 absolute error 0.14987387268601537 relative error 4.323468770852661% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.719999999999965 x1[1] (closed_form) 2.0000160473213873 x1[1] (numeric) 1.990751117341031 absolute error 0.009264929980356218 relative error 0.46324278211490844% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 3.5163460558632864 x2[1] (numeric) 3.6693910882132093 absolute error 0.15304503234992284 relative error 4.352388243891123% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.7299999999999685 x1[1] (closed_form) 2.0000158876478715 x1[1] (numeric) 1.990650091541559 absolute error 0.009365796106312496 relative error 0.4682860853334114% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 3.567179537520965 x2[1] (numeric) 3.7234613133882277 absolute error 0.15628177586726277 relative error 4.381102050609761% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.739999999999972 x1[1] (closed_form) 2.000015729563134 x1[1] (numeric) 1.9905480504159223 absolute error 0.009467679147211472 relative error 0.4733802343284325% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 3.6190399244287543 x2[1] (numeric) 3.7786253678628725 absolute error 0.15958544343411818 relative error 4.409607154563455% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.749999999999975 x1[1] (closed_form) 2.000015573051366 x1[1] (numeric) 1.9904449837599234 absolute error 0.009570589291442388 relative error 0.4785257385191665% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 3.6719479614408024 x2[1] (numeric) 3.8349053639148845 absolute error 0.16295740247408208 relative error 4.437900650698238% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.7599999999999785 x1[1] (closed_form) 2.0000154180969156 x1[1] (numeric) 1.9903408812668109 absolute error 0.009674536830104774 relative error 0.4837231124603246% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 3.7259248124851907 x2[1] (numeric) 3.892323860675022 absolute error 0.16639904818983142 relative error 4.4659797651376465% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.769999999999982 x1[1] (closed_form) 2.0000152646842877 x1[1] (numeric) 1.9902357325262485 absolute error 0.009779532158039173 relative error 0.4889728758936707% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 3.780992069029786 x2[1] (numeric) 3.9509038731556543 absolute error 0.16991180412586848 relative error 4.493841854830136% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.779999999999985 x1[1] (closed_form) 2.0000151127981414 x1[1] (numeric) 1.9901295270232753 absolute error 0.00988558577486609 relative error 0.49427555379996907% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 3.8371717587191156 x2[1] (numeric) 4.010668881461754 absolute error 0.1734971227426385 relative error 4.5214844070611395% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.7899999999999885 x1[1] (closed_form) 2.0000149624232875 x1[1] (numeric) 1.9900222541372516 absolute error 0.009992708286035823 relative error 0.49963167645147566% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 3.894486354185724 x2[1] (numeric) 4.071642840187991 absolute error 0.17715648600226697 relative error 4.548905038834258% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.799999999999992 x1[1] (closed_form) 2.0000148135446882 x1[1] (numeric) 1.9899139031408 absolute error 0.010100910403888275 relative error 0.505041779464929% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 3.952958782039521 x2[1] (numeric) 4.13385018800566 absolute error 0.18089140596613884 relative error 4.576101496125601% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.809999999999995 x1[1] (closed_form) 2.000014666147456 x1[1] (numeric) 1.9898044631987302 absolute error 0.010210202948725877 relative error 0.5105064038551957% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 4.012612432038734 x2[1] (numeric) 4.19731585744331 absolute error 0.1847034254045754 relative error 4.603071653016112% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.8199999999999985 x1[1] (closed_form) 2.0000145202168502 x1[1] (numeric) 1.9896939233669568 absolute error 0.010320596849893393 relative error 0.5160260960892619% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 4.07347116644613 x2[1] (numeric) 4.262065284864965 absolute error 0.1885941184188349 relative error 4.629813510705967% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.830000000000002 x1[1] (closed_form) 2.000014375738279 x1[1] (numeric) 1.9895822725914045 absolute error 0.010432103146874372 relative error 0.5216014081410539% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 4.135559329574224 x2[1] (numeric) 4.328124420649927 absolute error 0.19256509107570352 relative error 4.656325196416153% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.840000000000005 x1[1] (closed_form) 2.0000142326972927 x1[1] (numeric) 1.9894694997069031 absolute error 0.010544732990389605 relative error 0.5272328975463635% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 4.1989017575233465 x2[1] (numeric) 4.395519739578252 absolute error 0.19661798205490566 relative error 4.682604962181291% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.8500000000000085 x1[1] (closed_form) 2.0000140910795885 x1[1] (numeric) 1.9893555934360694 absolute error 0.010658497643519116 relative error 0.532921127458945% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 4.263523788116407 x2[1] (numeric) 4.46427825142604 absolute error 0.2007544633096332 relative error 4.708651183539544% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.860000000000012 x1[1] (closed_form) 2.000013950871004 x1[1] (numeric) 1.9892405423881823 absolute error 0.010773408482821933 relative error 0.538666666706506% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 4.329451271034363 x2[1] (numeric) 4.534427511774782 absolute error 0.20497624074041898 relative error 4.734462358123446% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.870000000000015 x1[1] (closed_form) 2.000013812057518 x1[1] (numeric) 1.9891243350580408 absolute error 0.010889476999477399 relative error 0.544470089847771% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 4.396710578156436 x2[1] (numeric) 4.60599563303908 absolute error 0.2092850548826437 relative error 4.760037104157036% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.8800000000000185 x1[1] (closed_form) 2.0000136746252495 x1[1] (numeric) 1.989006959824815 absolute error 0.01100671480043447 relative error 0.5503319772299478% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 4.465328614109219 x2[1] (numeric) 4.6790112957171734 absolute error 0.21368268160795445 relative error 4.785374158864267% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.890000000000022 x1[1] (closed_form) 2.000013538560455 x1[1] (numeric) 1.9888884049508835 absolute error 0.011125133609571458 relative error 0.5562529150467136% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 4.535332827028884 x2[1] (numeric) 4.753503759868742 absolute error 0.21817093283985844 relative error 4.810472376793197% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.900000000000025 x1[1] (closed_form) 2.0000134038495276 x1[1] (numeric) 1.9887686585806605 absolute error 0.011244745268867096 relative error 0.5622334953967689% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 4.606751219540806 x2[1] (numeric) 4.829502876824611 absolute error 0.22275165728380486 relative error 4.835330728061508% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.910000000000029 x1[1] (closed_form) 2.0000132704789966 x1[1] (numeric) 1.9886477087394092 absolute error 0.01136556173958736 relative error 0.5682743163431784% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 4.679612359960982 x2[1] (numeric) 4.907039101133007 absolute error 0.22742674117202544 relative error 4.859948296527743% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.920000000000032 x1[1] (closed_form) 2.0000131384355244 x1[1] (numeric) 1.9885255433320441 absolute error 0.011487595103480297 relative error 0.5743759819731119% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 4.753945393723743 x2[1] (numeric) 4.986143502747182 absolute error 0.23219810902343863 relative error 4.884324277893292% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.930000000000035 x1[1] (closed_form) 2.0000130077059066 x1[1] (numeric) 1.9884021501419231 absolute error 0.011610857563983501 relative error 0.580539102458219% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 4.8297800550403185 x2[1] (numeric) 5.066847779459246 absolute error 0.2370677244189272 relative error 4.9084579777401105% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.940000000000039 x1[1] (closed_form) 2.00001287827707 x1[1] (numeric) 1.9882775168296245 absolute error 0.01173536144744558 relative error 0.5867642941157017% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 4.907146678792914 x2[1] (numeric) 5.149184269585202 absolute error 0.24203759079228782 relative error 4.932348809508696% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.950000000000042 x1[1] (closed_form) 2.0000127501360723 x1[1] (numeric) 1.9881516309317127 absolute error 0.011861119204359616 relative error 0.5930521794699878% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 4.9860762126690705 x2[1] (numeric) 5.233185964906263 absolute error 0.24710975223719256 relative error 4.955996292421562% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.960000000000045 x1[1] (closed_form) 2.0000126232700985 x1[1] (numeric) 1.9880244798594933 absolute error 0.011988143410605279 relative error 0.5994033873148359% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 5.066600229541154 x2[1] (numeric) 5.318886523871611 absolute error 0.2522862943304567 relative error 4.979400049356261% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.970000000000049 x1[1] (closed_form) 2.0000124976664626 x1[1] (numeric) 1.9878960508977537 absolute error 0.012116446768708933 relative error 0.6058185527763419% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 5.148750940095925 x2[1] (numeric) 5.4063202850678875 absolute error 0.25756934497196227 relative error 5.002559804673005% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.980000000000052 x1[1] (closed_form) 2.0000123733126034 x1[1] (numeric) 1.9877663312034901 absolute error 0.012246042109113287 relative error 0.6122983173764206% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 5.232561205719242 x2[1] (numeric) 5.495522280960808 absolute error 0.26296107524156564 relative error 5.0254753820012% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 4.990000000000055 x1[1] (closed_form) 2.000012250196086 x1[1] (numeric) 1.9876353078046252 absolute error 0.01237694239146081 relative error 0.6188433290969766% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 5.318064551641059 x2[1] (numeric) 5.5865282519144035 absolute error 0.26846370027334476 relative error 5.048146701989575% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.000000000000059 x1[1] (closed_form) 2.0000121283045984 x1[1] (numeric) 1.9875029675987095 absolute error 0.012509160705888922 relative error 0.6254542424446637% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 5.40529518034596 x2[1] (numeric) 5.679374660493471 absolute error 0.2740794801475106 relative error 5.070573780023766% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.010000000000062 x1[1] (closed_form) 2.0000120076259513 x1[1] (numeric) 1.9873692973516124 absolute error 0.012642710274338942 relative error 0.6321317185163332% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 5.494287985254611 x2[1] (numeric) 5.774098706054982 absolute error 0.27981072080037084 relative error 5.09275672391614% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.020000000000065 x1[1] (closed_form) 2.0000118881480766 x1[1] (numeric) 1.987234283696198 absolute error 0.012777604451878588 relative error 0.6388764250651575% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 5.5850785646815995 x2[1] (numeric) 5.870738339634284 absolute error 0.28565977495268413 relative error 5.114695731571492% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.030000000000069 x1[1] (closed_form) 2.000011769859027 x1[1] (numeric) 1.987097913130988 absolute error 0.012913856728038908 relative error 0.6456890365674776% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 5.677703236075224 x2[1] (numeric) 5.969332279132032 absolute error 0.29162904305680737 relative error 5.1363910886332125% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.040000000000072 x1[1] (closed_form) 2.000011652746973 x1[1] (numeric) 1.9869601720188121 absolute error 0.01305148072816098 relative error 0.6525702342901378% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 5.772199050544971 x2[1] (numeric) 6.0699200248079395 absolute error 0.29772097426296806 relative error 5.15784316611291% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.050000000000075 x1[1] (closed_form) 2.000011536800203 x1[1] (numeric) 1.986821046585445 absolute error 0.013190490214758155 relative error 0.6595207063585982% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 5.868603807682446 x2[1] (numeric) 6.172541875087546 absolute error 0.30393806740510065 relative error 5.179052418008228% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.060000000000079 x1[1] (closed_form) 2.0000114220071232 x1[1] (numeric) 1.9866805229182267 absolute error 0.013330899088896508 relative error 0.6665411478259563% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 5.966956070681713 x2[1] (numeric) 6.277238942688328 absolute error 0.3102828720066153 relative error 5.200019378912004% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.070000000000082 x1[1] (closed_form) 2.0000113083562536 x1[1] (numeric) 1.9865385869646732 absolute error 0.0134727213915804 relative error 0.6736322607422258% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 6.067295181765092 x2[1] (numeric) 6.384053171071592 absolute error 0.3167579893064998 relative error 5.22074466161623% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.080000000000085 x1[1] (closed_form) 2.0000111958362288 x1[1] (numeric) 1.9863952245310716 absolute error 0.013615971305157126 relative error 0.6807947542245695% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 6.169661277920576 x2[1] (numeric) 6.493027351226738 absolute error 0.32336607330616207 relative error 5.241228954714179% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.090000000000089 x1[1] (closed_form) 2.000011084435797 x1[1] (numeric) 1.9862504212810583 absolute error 0.01376066315473845 relative error 0.6880293445283746% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 6.27409530695715 x2[1] (numeric) 6.604205138794621 absolute error 0.3301098318374702 relative error 5.261473020204548% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.100000000000092 x1[1] (closed_form) 2.000010974143818 x1[1] (numeric) 1.986104162734188 absolute error 0.013906811409630127 relative error 0.69533675511873% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 6.3806390438844724 x2[1] (numeric) 6.717631071536835 absolute error 0.3369920276523626 relative error 5.281477691099809% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.110000000000095 x1[1] (closed_form) 2.0000108649492625 x1[1] (numeric) 1.9859564342644842 absolute error 0.014054430684778296 relative error 0.7027177167427456% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 6.489335107623429 x2[1] (numeric) 6.833350587157932 absolute error 0.3440154795345034 relative error 5.3012438690424055% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.120000000000099 x1[1] (closed_form) 2.000010756841211 x1[1] (numeric) 1.985807221098977 absolute error 0.014203535742234097 relative error 0.7101729675027829% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 6.600226978054278 x2[1] (numeric) 6.951410041487691 absolute error 0.351183063433413 relative error 5.320772521931366% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.130000000000102 x1[1] (closed_form) 2.0000106498088526 x1[1] (numeric) 1.985656508316225 absolute error 0.014354141492627592 relative error 0.7177032529301514% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 6.713359013409176 x2[1] (numeric) 7.07185672703071 absolute error 0.35849771362153415 relative error 5.340064681562174% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.140000000000105 x1[1] (closed_form) 2.000010543841484 x1[1] (numeric) 1.9855042808448249 absolute error 0.014506262996659025 relative error 0.7253093260596709% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 6.82877646801606 x2[1] (numeric) 7.194738891890761 absolute error 0.36596242387470124 relative error 5.359121441282482% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.150000000000109 x1[1] (closed_form) 2.0000104389285083 x1[1] (numeric) 1.9853505234619022 absolute error 0.014659915466606055 relative error 0.7329919475050342% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 6.946525510400995 x2[1] (numeric) 7.320105759077457 absolute error 0.3735802486764621 relative error 5.377943953665793% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.160000000000112 x1[1] (closed_form) 2.000010335059434 x1[1] (numeric) 1.9851952207915913 absolute error 0.014815114267842766 relative error 0.7407518855347569% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 7.066653241756185 x2[1] (numeric) 7.44800754620296 absolute error 0.38135430444677443 relative error 5.396533428205984% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.170000000000115 x1[1] (closed_form) 2.0000102322238744 x1[1] (numeric) 1.9850383573034944 absolute error 0.01497187492037999 relative error 0.7485899161491935% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 7.189207714781096 x2[1] (numeric) 7.57849548557661 absolute error 0.389287770795514 relative error 5.4148911290340624% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.180000000000119 x1[1] (closed_form) 2.000010130411546 x1[1] (numeric) 1.9848799173111331 absolute error 0.01513021310041296 relative error 0.75650682315792% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 7.314237952904159 x2[1] (numeric) 7.711621844705532 absolute error 0.3973838918013737 relative error 5.433018372660274% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.190000000000122 x1[1] (closed_form) 2.000010029612267 x1[1] (numeric) 1.9847198849703758 absolute error 0.015290144641891157 relative error 0.7645033982582272% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 7.441793969892803 x2[1] (numeric) 7.847439947209388 absolute error 0.4056459773165848 relative error 5.450916525742355% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.200000000000125 x1[1] (closed_form) 2.0000099298159575 x1[1] (numeric) 1.9845582442778544 absolute error 0.015451685538103055 relative error 0.7725804411143564% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 7.571926789859638 x2[1] (numeric) 7.9860041941576645 absolute error 0.41407740429802686 relative error 5.4685870028822965% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.210000000000129 x1[1] (closed_form) 2.0000098310126377 x1[1] (numeric) 1.9843949790693658 absolute error 0.015614851943271946 relative error 0.7807387594372919% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 7.7046884676727645 x2[1] (numeric) 8.12737008583803 absolute error 0.4226816181652646 relative error 5.486031264453415% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.220000000000132 x1[1] (closed_form) 2.0000097331924276 x1[1] (numeric) 1.984230073018253 absolute error 0.015779660174174648 relative error 0.7889791690656955% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 7.84013210977843 x2[1] (numeric) 8.271594243964465 absolute error 0.4314621341860354 relative error 5.5032508144589025% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.230000000000135 x1[1] (closed_form) 2.0000096363455446 x1[1] (numeric) 1.9840635096337735 absolute error 0.01594612671177109 relative error 0.7973024940473864% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 7.978311895444305 x2[1] (numeric) 8.418734434334052 absolute error 0.4404225388897469 relative error 5.520247198423423% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.240000000000139 x1[1] (closed_form) 2.0000095404623046 x1[1] (numeric) 1.9838952722594498 absolute error 0.016114268202854776 relative error 0.8057095667218638% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 8.119283098431923 x2[1] (numeric) 8.568849589941484 absolute error 0.44956649150956096 relative error 5.537022001319128% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.250000000000142 x1[1] (closed_form) 2.0000094455331183 x1[1] (numeric) 1.983725344071404 absolute error 0.01628410146171433 relative error 0.8142012278033853% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 8.263102109106914 x2[1] (numeric) 8.721999834560528 absolute error 0.45889772545361396 relative error 5.55357684552699% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.2600000000001454 x1[1] (closed_form) 2.000009351548494 x1[1] (numeric) 1.9835537080766763 absolute error 0.016455643471817494 relative error 0.8227783264651648% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 8.409826456995903 x2[1] (numeric) 8.878246506801942 absolute error 0.46842004980603846 relative error 5.569913388835423% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.270000000000149 x1[1] (closed_form) 2.0000092584990314 x1[1] (numeric) 1.983380347111524 absolute error 0.01662891138750755 relative error 0.831441720424196% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 8.5595148337991 x2[1] (numeric) 9.03765218465735 absolute error 0.47813735085825115 relative error 5.5860333224755% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.280000000000152 x1[1] (closed_form) 2.0000091663754267 x1[1] (numeric) 1.9832052438397059 absolute error 0.016803922535720828 relative error 0.840192276027125% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 8.71222711686775 x2[1] (numeric) 9.20028071053902 absolute error 0.4880535936712711 relative error 5.60193836919552% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.2900000000001555 x1[1] (closed_form) 2.0000090751684674 x1[1] (numeric) 1.9830283807507492 absolute error 0.016980694417718212 relative error 0.8490308683368286% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 8.868024393155876 x2[1] (numeric) 9.366197216825471 absolute error 0.49817282366959503 relative error 5.617630281374424% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.300000000000159 x1[1] (closed_form) 2.0000089848690323 x1[1] (numeric) 1.982849740158197 absolute error 0.017159244710835297 relative error 0.8579583812199196% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 9.02696898365588 x2[1] (numeric) 9.535468151923169 absolute error 0.5084991682672886 relative error 5.633110839175043% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.310000000000162 x1[1] (closed_form) 2.000008895468092 x1[1] (numeric) 1.982669304197842 absolute error 0.017339591270249866 relative error 0.8669757074351223% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 9.189124468327767 x2[1] (numeric) 9.708161306854748 absolute error 0.519036838526981 relative error 5.648381848738143% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.3200000000001655 x1[1] (closed_form) 2.0000088069567052 x1[1] (numeric) 1.9824870548259375 absolute error 0.017521752130767787 relative error 0.8760837487225668% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 9.354555711531978 x2[1] (numeric) 9.88434584238435 absolute error 0.5297901308523727 relative error 5.663445140417149% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.330000000000169 x1[1] (closed_form) 2.000008719326022 x1[1] (numeric) 1.9823029738173943 absolute error 0.0177057455086278 relative error 0.8852834158940275% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 9.523328887975998 x2[1] (numeric) 10.06409231669098 absolute error 0.5407634287149818 relative error 5.6783025670544784% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.340000000000172 x1[1] (closed_form) 2.0000086325672783 x1[1] (numeric) 1.9821170427639578 absolute error 0.017891589803320507 relative error 0.8945756289238741% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 9.69551150918513 x2[1] (numeric) 10.247472713600914 absolute error 0.5519612044157842 relative error 5.692956002299403% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.3500000000001755 x1[1] (closed_form) 2.0000085466717987 x1[1] (numeric) 1.9819292430723683 absolute error 0.01807930359943044 relative error 0.9039613170411742% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 9.871172450507988 x2[1] (numeric) 10.434560471390492 absolute error 0.5633880208825044 relative error 5.7074073389682445% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.360000000000179 x1[1] (closed_form) 2.0000084616309937 x1[1] (numeric) 1.9817395559625 absolute error 0.018268905668493707 relative error 0.9134414188225751% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 10.050381978667577 x2[1] (numeric) 10.625430512170743 absolute error 0.5750485335031659 relative error 5.721658487445893% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.370000000000182 x1[1] (closed_form) 2.0000083774363584 x1[1] (numeric) 1.9815479624654835 absolute error 0.018460414970874917 relative error 0.9230168822861514% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 10.233211779868904 x2[1] (numeric) 10.8201592718657 absolute error 0.5869474919967956 relative error 5.735711374130429% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.3800000000001855 x1[1] (closed_form) 2.000008294079474 x1[1] (numeric) 1.9813544434218102 absolute error 0.018653850657663673 relative error 0.9326886649862278% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 10.419734988474426 x2[1] (numeric) 11.01882473079633 absolute error 0.5990897423219046 relative error 5.74956793991954% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.390000000000189 x1[1] (closed_form) 2.000008211552004 x1[1] (numeric) 1.9811589794794138 absolute error 0.01884923207259037 relative error 0.9424577341091709% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 10.61002621625876 x2[1] (numeric) 11.221506444882309 absolute error 0.6114802286235488 relative error 5.763230138739139% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.400000000000192 x1[1] (closed_form) 2.0000081298456966 x1[1] (numeric) 1.9809615510917378 absolute error 0.019046578753958876 relative error 0.9523250665700216% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 10.804161582254396 x2[1] (numeric) 11.428285577474167 absolute error 0.6241239952197706 relative error 5.776699936114254% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.4100000000001955 x1[1] (closed_form) 2.0000080489523806 x1[1] (numeric) 1.9807621385157776 absolute error 0.019245910436602953 relative error 0.9622916491103177% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 11.002218743200325 x2[1] (numeric) 11.639244931828513 absolute error 0.6370261886281874 relative error 5.789979307781779% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.420000000000199 x1[1] (closed_form) 2.000007968863966 x1[1] (numeric) 1.9805607218101111 absolute error 0.01944724705385492 relative error 0.9723584783965258% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 11.204276924605766 x2[1] (numeric) 11.85446898423931 absolute error 0.6501920596335431 relative error 5.8030702383449055% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.430000000000202 x1[1] (closed_form) 2.0000078895724447 x1[1] (numeric) 1.9803572808328993 absolute error 0.019650608739545383 relative error 0.9825265611200278% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 11.410416952441432 x2[1] (numeric) 12.074043917838516 absolute error 0.6636269653970839 relative error 5.815974719969289% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.440000000000206 x1[1] (closed_form) 2.0000078110698873 x1[1] (numeric) 1.9801517952398742 absolute error 0.019856015830013174 relative error 0.9927969140976187% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 11.620721285470994 x2[1] (numeric) 12.298057657079525 absolute error 0.677336371608531 relative error 5.828694751119988% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.450000000000209 x1[1] (closed_form) 2.0000077333484434 x1[1] (numeric) 1.979944244482306 absolute error 0.02006348886613729 relative error 1.0031705643731035% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 11.835274048235682 x2[1] (numeric) 12.5265999029173 absolute error 0.691325854681617 relative error 5.841232335339754% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.460000000000212 x1[1] (closed_form) 2.000007656400341 x1[1] (numeric) 1.9797346078049458 absolute error 0.020273048595395027 relative error 1.013648549320202% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 12.05416106470523 x2[1] (numeric) 12.759762168699169 absolute error 0.7056011039939385 relative error 5.853589480067173% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.470000000000216 x1[1] (closed_form) 2.0000075802178845 x1[1] (numeric) 1.9795228642439509 absolute error 0.020484715973933643 relative error 1.0242319167461356% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 12.277469892608606 x2[1] (numeric) 12.997637816780758 absolute error 0.7201679241721521 relative error 5.865768195495345% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.480000000000219 x1[1] (closed_form) 2.000007504793456 x1[1] (numeric) 1.9793089926247893 absolute error 0.020698512168666694 relative error 1.03492172499644% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 12.505289858458275 x2[1] (numeric) 13.240322095881586 absolute error 0.7350322374233116 relative error 5.877770493469638% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.490000000000222 x1[1] (closed_form) 2.000007430119514 x1[1] (numeric) 1.9790929715601209 absolute error 0.020914458559393 relative error 1.045719043060916% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 12.737712093281981 x2[1] (numeric) 13.487912179195373 absolute error 0.7502000859133915 relative error 5.889598386424952% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.500000000000226 x1[1] (closed_form) 2.0000073561885894 x1[1] (numeric) 1.9788747794476587 absolute error 0.02113257674093072 relative error 1.0566249506803334% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 12.974829569076398 x2[1] (numeric) 13.740507203270212 absolute error 0.7656776341938141 relative error 5.901253886360823% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.510000000000229 x1[1] (closed_form) 2.00000728299329 x1[1] (numeric) 1.97865439446801 absolute error 0.021352888525279834 relative error 1.0676405384545529% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 13.216737135997148 x2[1] (numeric) 13.998208307674258 absolute error 0.7814711716771097 relative error 5.912739003855137% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.520000000000232 x1[1] (closed_form) 2.0000072105262956 x1[1] (numeric) 1.9784317945824925 absolute error 0.021575415943803078 relative error 1.0787669079515756% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 13.463531560300135 x2[1] (numeric) 14.261118675462702 absolute error 0.7975871151625675 relative error 5.924055747114744% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.530000000000236 x1[1] (closed_form) 2.00000713878036 x1[1] (numeric) 1.9782069575309325 absolute error 0.02180018124942773 relative error 1.09000517181763% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 13.71531156304934 x2[1] (numeric) 14.5293435744623 absolute error 0.8140320114129604 relative error 5.9352061210629605% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.540000000000239 x1[1] (closed_form) 2.000007067748309 x1[1] (numeric) 1.9779798608294379 absolute error 0.022027206918870945 relative error 1.1013564538884402% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 13.972177859606562 x2[1] (numeric) 14.802990399389929 absolute error 0.8308125397833663 relative error 5.946192126463246% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.550000000000242 x1[1] (closed_form) 2.0000069974230383 x1[1] (numeric) 1.9777504817681495 absolute error 0.022256515654888842 relative error 1.1128218893016792% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 14.234233199918906 x2[1] (numeric) 15.082168714821998 absolute error 0.8479355149030923 relative error 5.957015759078073% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.560000000000246 x1[1] (closed_form) 2.0000069277975157 x1[1] (numeric) 1.9775187974089692 absolute error 0.022488130388546468 relative error 1.1244026246104688% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 14.501582409620132 x2[1] (numeric) 15.366990299031992 absolute error 0.8654078894118591 relative error 5.967679008862926% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.570000000000249 x1[1] (closed_form) 2.000006858864779 x1[1] (numeric) 1.9772847845832688 absolute error 0.022722074281509963 relative error 1.136099817897985% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 14.774332431962305 x2[1] (numeric) 15.657569188713564 absolute error 0.8832367567512591 relative error 5.978183859194164% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.580000000000252 x1[1] (closed_form) 2.0000067906179337 x1[1] (numeric) 1.97704841988957 absolute error 0.02295837072836382 relative error 1.1479146388933243% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 15.052592370594523 x2[1] (numeric) 15.954021724607188 absolute error 0.9014293540126648 relative error 5.988532286130469% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.590000000000256 x1[1] (closed_form) 2.0000067230501566 x1[1] (numeric) 1.9768096796912062 absolute error 0.023197043358950342 relative error 1.1598482690884735% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 15.336473533205833 x2[1] (numeric) 16.25646659804851 absolute error 0.9199930648426786 relative error 5.998726257706843% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.600000000000259 x1[1] (closed_form) 2.0000066561546896 x1[1] (numeric) 1.9765685401139592 absolute error 0.023438116040730428 relative error 1.1719019018563515% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 15.626089476049792 x2[1] (numeric) 16.56502489845714 absolute error 0.9389354224073472 relative error 6.008767733260837% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.610000000000262 x1[1] (closed_form) 2.000006589924844 x1[1] (numeric) 1.9763249770436702 absolute error 0.023681612881173875 relative error 1.184076742570322% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 15.921556049368478 x2[1] (numeric) 16.87982016178472 absolute error 0.9582641124162432 relative error 6.018658662789762% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.620000000000266 x1[1] (closed_form) 2.000006524353996 x1[1] (numeric) 1.976078966123829 absolute error 0.023927558230167234 relative error 1.1963740087245893% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 16.222991443734145 x2[1] (numeric) 17.20097841994188 absolute error 0.9779869762077347 relative error 6.028400986338839% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.630000000000269 x1[1] (closed_form) 2.000006459435589 x1[1] (numeric) 1.9758304827531388 absolute error 0.024175976682450306 relative error 1.2087949300560197% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 16.530516237326996 x2[1] (numeric) 17.528628251223562 absolute error 0.9981120138965665 relative error 6.037996633418887% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.640000000000272 x1[1] (closed_form) 2.000006395163131 x1[1] (numeric) 1.9755795020830555 absolute error 0.024426893080075507 relative error 1.2213407486671122% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 16.84425344416811 x2[1] (numeric) 17.862900831753173 absolute error 1.0186473875850623 relative error 6.047447522453083% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.650000000000276 x1[1] (closed_form) 2.000006331530195 x1[1] (numeric) 1.9753259990153034 absolute error 0.024680332514891434 relative error 1.2340127191501757% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 17.16432856332666 x2[1] (numeric) 18.20392998796597 absolute error 1.0396014246393115 relative error 6.0567555602525935% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.660000000000279 x1[1] (closed_form) 2.000006268530417 x1[1] (numeric) 1.9750699481993639 absolute error 0.024936320331053086 relative error 1.2468121087128403% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 17.490869629121203 x2[1] (numeric) 18.55185225015268 absolute error 1.060982621031478 relative error 6.065922641519254% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.670000000000282 x1[1] (closed_form) 2.000006206157497 x1[1] (numeric) 1.9748113240299423 absolute error 0.025194882127554497 relative error 1.2597401973046902% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 17.82400726233515 x2[1] (numeric) 18.906806907084878 absolute error 1.082799644749727 relative error 6.074950648375508% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.680000000000286 x1[1] (closed_form) 2.000006144405198 x1[1] (numeric) 1.9745501006444062 absolute error 0.025456043760791802 relative error 1.2727982777454132% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 18.163874722466808 x2[1] (numeric) 19.268936061743847 absolute error 1.1050613392770394 relative error 6.083841449920343% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.690000000000289 x1[1] (closed_form) 2.000006083267345 x1[1] (numeric) 1.9742862519201994 absolute error 0.025719831347145616 relative error 1.2859876558539243% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 18.51060796103494 x2[1] (numeric) 19.638384688175325 absolute error 1.127776727140386 relative error 6.092596901810952% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.700000000000292 x1[1] (closed_form) 2.0000060227378236 x1[1] (numeric) 1.9740197514722289 absolute error 0.025986271265594718 relative error 1.2993096505790473% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 18.864345675961196 x2[1] (numeric) 20.01530068949281 absolute error 1.1509550135316147 relative error 6.1012188458689804% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.710000000000296 x1[1] (closed_form) 2.000005962810581 x1[1] (numeric) 1.9737505726502287 absolute error 0.026255390160352166 relative error 1.3127655941313208% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 19.225229367051146 x2[1] (numeric) 20.399834957052644 absolute error 1.174605590001498 relative error 6.109709109710686% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.720000000000299 x1[1] (closed_form) 2.0000059034796243 x1[1] (numeric) 1.9734786885360913 absolute error 0.02652721494353294 relative error 1.3263568321163806% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 19.593403392596066 x2[1] (numeric) 20.79214143082455 absolute error 1.198738038228484 relative error 6.118069506400618% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.730000000000302 x1[1] (closed_form) 2.0000058447390203 x1[1] (numeric) 1.9732040719411796 absolute error 0.026801772797840684 relative error 1.3400847236692968% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 19.969015027118193 x2[1] (numeric) 21.19237716098181 absolute error 1.223362133863617 relative error 6.126301834127895% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.740000000000306 x1[1] (closed_form) 2.0000057865828955 x1[1] (numeric) 1.972926695403605 absolute error 0.027079091179290415 relative error 1.3539506415907088% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 20.352214520282498 x2[1] (numeric) 21.60070237073566 absolute error 1.248487850453163 relative error 6.1344078759043725% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.750000000000309 x1[1] (closed_form) 2.0000057290054336 x1[1] (numeric) 1.9726465311854822 absolute error 0.027359197819951442 relative error 1.3679559724839723% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 20.743155156998544 x2[1] (numeric) 22.01728052043905 absolute error 1.2741253634405076 relative error 6.142389399283984% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.760000000000312 x1[1] (closed_form) 2.000005672000877 x1[1] (numeric) 1.9723635512701563 absolute error 0.0276421207307207 relative error 1.3821021168938252% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 21.141993318736514 x2[1] (numeric) 22.442278372985463 absolute error 1.300285054248949 relative error 6.150248156102703% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.770000000000316 x1[1] (closed_form) 2.0000056155635253 x1[1] (numeric) 1.9720777273594001 absolute error 0.027927888204125173 relative error 1.396390489446509% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 21.548888546081862 x2[1] (numeric) 22.875866060528896 absolute error 1.3269775144470337 relative error 6.157985882238516% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.780000000000319 x1[1] (closed_form) 2.0000055596877346 x1[1] (numeric) 1.9717890308705839 absolute error 0.028216528817150754 relative error 1.4108225189912105% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 21.964003602553692 x2[1] (numeric) 23.318217152551732 absolute error 1.3542135499980397 relative error 6.165604297390432% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.7900000000003224 x1[1] (closed_form) 2.0000055043679175 x1[1] (numeric) 1.9714974329338188 absolute error 0.028508071434098614 relative error 1.4253996487428826% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 22.38750453971233 x2[1] (numeric) 23.769508725307706 absolute error 1.382004185595374 relative error 6.173105104876204% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.800000000000326 x1[1] (closed_form) 2.0000054495985418 x1[1] (numeric) 1.9712029043890682 absolute error 0.028802545209473562 relative error 1.440123336426661% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 22.819560763582157 x2[1] (numeric) 24.229921432667766 absolute error 1.410360669085609 relative error 6.180489991448083% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.810000000000329 x1[1] (closed_form) 2.00000539537413 x1[1] (numeric) 1.970905415783232 absolute error 0.029099979590898162 relative error 1.4549950544235701% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 23.260345102416288 x2[1] (numeric) 24.699639578397132 absolute error 1.4392944759808444 relative error 6.187760627125563% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.8200000000003325 x1[1] (closed_form) 2.0000053416892607 x1[1] (numeric) 1.9706049373672014 absolute error 0.02940040432205926 relative error 1.4700162899178484% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 23.71003387583017 x2[1] (numeric) 25.178851189892544 absolute error 1.468817314062374 relative error 6.19491866504533% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.830000000000336 x1[1] (closed_form) 2.0000052885385644 x1[1] (numeric) 1.9703014390928844 absolute error 0.029703849445680053 relative error 1.4851885450455546% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 24.168806965331786 x2[1] (numeric) 25.667748093409095 absolute error 1.498941128077309 relative error 6.201965741326909% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.840000000000339 x1[1] (closed_form) 2.0000052359167264 x1[1] (numeric) 1.9699948906102012 absolute error 0.030010345306525243 relative error 1.5005133370448223% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 24.636847886276644 x2[1] (numeric) 26.166525990806818 absolute error 1.5296781045301735 relative error 6.208903474954048% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.8500000000003425 x1[1] (closed_form) 2.0000051838184847 x1[1] (numeric) 1.969685261264047 absolute error 0.030319922554437717 relative error 1.5159921984076956% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 25.11434386127639 x2[1] (numeric) 26.675384537847698 absolute error 1.5610406765713094 relative error 6.215733467670903% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.860000000000346 x1[1] (closed_form) 2.0000051322386287 x1[1] (numeric) 1.96937252009123 absolute error 0.030632612147398763 relative error 1.5316266770331397% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 25.60148589509032 x2[1] (numeric) 27.194527424074433 absolute error 1.5930415289841129 relative error 6.222457303892723% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.870000000000349 x1[1] (closed_form) 2.0000050811720014 x1[1] (numeric) 1.9690566358173727 absolute error 0.030948445354628706 relative error 1.5474183363820728% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 26.098468851029857 x2[1] (numeric) 27.7241624543029 absolute error 1.6256936032730422 relative error 6.229076550630255% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.8800000000003525 x1[1] (closed_form) 2.000005030613495 x1[1] (numeric) 1.9687375768537836 absolute error 0.031267453759711517 relative error 1.563368755633596% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 26.605491528906455 x2[1] (numeric) 28.264501631760933 absolute error 1.6590101028544773 relative error 6.235592757427497% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.890000000000356 x1[1] (closed_form) 2.0000049805580544 x1[1] (numeric) 1.9684153112943008 absolute error 0.03158966926375362 relative error 1.5794795298429336% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 27.122756744554188 x2[1] (numeric) 28.815761242906653 absolute error 1.6930044983524652 relative error 6.242007456312099% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.900000000000359 x1[1] (closed_form) 2.000004931000674 x1[1] (numeric) 1.9680898069120998 absolute error 0.03191512408857422 relative error 1.5957522701009512% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 27.65047141095878 x2[1] (numeric) 29.378161943960286 absolute error 1.7276905330015069 relative error 6.2483221617580345% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.9100000000003625 x1[1] (closed_form) 2.0000048819363974 x1[1] (numeric) 1.9677610311564706 absolute error 0.03224385077992675 relative error 1.6121886036952255% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 28.188846621025558 x2[1] (numeric) 29.951928849184103 absolute error 1.7630822281585452 relative error 6.254538370660025% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.920000000000366 x1[1] (closed_form) 2.0000048333603186 x1[1] (numeric) 1.9674289511495642 absolute error 0.03257588221075447 relative error 1.6287901742728257% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 28.738097732019433 x2[1] (numeric) 30.53729162094578 absolute error 1.7991938889263466 relative error 6.260657562319164% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.930000000000369 x1[1] (closed_form) 2.00000478526758 x1[1] (numeric) 1.967093533683103 absolute error 0.03291125158447694 relative error 1.6455586420046366% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 29.298444451710687 x2[1] (numeric) 31.134484561601194 absolute error 1.836040109890508 relative error 6.266681198439204% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.9400000000003725 x1[1] (closed_form) 2.000004737653372 x1[1] (numeric) 1.966754745215061 absolute error 0.03324999243831073 relative error 1.6624956837513953% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 29.870110926260974 x2[1] (numeric) 31.743746707233424 absolute error 1.8736357809724495 relative error 6.2726107231332735% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.950000000000376 x1[1] (closed_form) 2.000004690512933 x1[1] (numeric) 1.966412551866309 absolute error 0.03359213864662425 relative error 1.6796029932314314% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 30.45332582988483 x2[1] (numeric) 32.3653219232855 absolute error 1.9119960934006706 relative error 6.2784475629402925% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.960000000000379 x1[1] (closed_form) 2.0000046438415495 x1[1] (numeric) 1.9660669194172269 absolute error 0.033937724424322635 relative error 1.696882281189911% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 31.04832245632236 x2[1] (numeric) 32.999459002125036 absolute error 1.951136545802676 relative error 6.284193126850776% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.970000000000383 x1[1] (closed_form) 2.0000045976345544 x1[1] (numeric) 1.965717813304282 absolute error 0.034286784330272324 relative error 1.7143352755700658% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 31.655338812159865 x2[1] (numeric) 33.64641176257994 absolute error 1.9910729504200724 relative error 6.2898488063417455% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.980000000000386 x1[1] (closed_form) 2.000004551887326 x1[1] (numeric) 1.9653651986165723 absolute error 0.03463935327075385 relative error 1.7319637216858352% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 32.27461771203565 x2[1] (numeric) 34.306439151484824 absolute error 2.0318214394491747 relative error 6.295415975419844% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 5.990000000000389 x1[1] (closed_form) 2.0000045065952903 x1[1] (numeric) 1.9650090400923343 absolute error 0.03499546650295593 relative error 1.7497693823965674% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 32.906406875769115 x2[1] (numeric) 34.979805347278976 absolute error 2.0733984715098615 relative error 6.300895990672942% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.000000000000393 x1[1] (closed_form) 2.000004461753918 x1[1] (numeric) 1.9646493021154197 absolute error 0.035355159638498224 relative error 1.767754038283158% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 33.550959027452 x2[1] (numeric) 35.66677986569704 absolute error 2.1158208382450354 relative error 6.3062901913290546% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.010000000000396 x1[1] (closed_form) 2.0000044173587246 x1[1] (numeric) 1.9642859487117303 absolute error 0.03571846864699424 relative error 1.7859194878261966% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 34.20853199654134 x2[1] (numeric) 36.367637667595005 absolute error 2.1591056710536662 relative error 6.311599899323254% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.020000000000399 x1[1] (closed_form) 2.0000043734052713 x1[1] (numeric) 1.9639189435456235 absolute error 0.0360854298596478 relative error 1.8042675475857881% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 34.87938882099476 x2[1] (numeric) 37.08265926895438 absolute error 2.2032704479596177 relative error 6.316826419370672% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.030000000000403 x1[1] (closed_form) 2.0000043298891614 x1[1] (numeric) 1.9635482499162766 absolute error 0.0364560799728848 relative error 1.8228000523831451% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 35.56379785248912 x2[1] (numeric) 37.81213085310867 absolute error 2.248333000619553 relative error 6.321971039046921% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.040000000000406 x1[1] (closed_form) 2.0000042868060444 x1[1] (numeric) 1.9631738307540172 absolute error 0.03683045605202717 relative error 1.8415188554842783% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 36.26203286376476 x2[1] (numeric) 38.55634438523701 absolute error 2.2943115214722525 relative error 6.327035028874151% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.050000000000409 x1[1] (closed_form) 2.0000042441516115 x1[1] (numeric) 1.9627956486166176 absolute error 0.037208595534993893 relative error 1.860425828785055% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 36.97437315813827 x2[1] (numeric) 39.3155977291709 absolute error 2.341224571032626 relative error 6.332019642413625% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.060000000000413 x1[1] (closed_form) 2.0000042019215973 x1[1] (numeric) 1.9624136656855489 absolute error 0.037590536236048466 relative error 1.8795228629985679% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 37.701103681227536 x2[1] (numeric) 40.090194766560465 absolute error 2.389091085332929 relative error 6.336926116363341% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.070000000000416 x1[1] (closed_form) 2.000004160111779 x1[1] (numeric) 1.9620278437621987 absolute error 0.03797631634958032 relative error 1.8988118678442072% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 38.44251513493378 x2[1] (numeric) 40.88044551844825 absolute error 2.4379303835144697 relative error 6.341755670661244% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.080000000000419 x1[1] (closed_form) 2.000004118717975 x1[1] (numeric) 1.9616381442640543 absolute error 0.03836597445392087 relative error 1.9182947722384633% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 39.19890409372618 x2[1] (numeric) 41.68666626929893 absolute error 2.4877621755727546 relative error 6.346509508593439% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.090000000000423 x1[1] (closed_form) 2.0000040777360466 x1[1] (numeric) 1.9612445282208404 absolute error 0.038759549515206215 relative error 1.9379735244880618% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 39.97057312327563 x2[1] (numeric) 42.50917969353468 absolute error 2.5386065702590557 relative error 6.351188816906847% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.100000000000426 x1[1] (closed_form) 2.000004037161895 x1[1] (numeric) 1.9608469562706254 absolute error 0.03915708089126957 relative error 1.9578500924845836% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 40.7578309014851 x2[1] (numeric) 43.348314984626775 absolute error 2.590484083141675 relative error 6.355794765926283% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.110000000000429 x1[1] (closed_form) 2.000003996991463 x1[1] (numeric) 1.9604453886558826 absolute error 0.03955860833558056 relative error 1.9779264639014325% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 41.56099234196477 x2[1] (numeric) 44.204407986795104 absolute error 2.643415644830334 relative error 6.360328509676217% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.120000000000433 x1[1] (closed_form) 2.0000039572207333 x1[1] (numeric) 1.9600397852195157 absolute error 0.0399641720012176 relative error 1.998204646392452% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 42.380378720001836 x2[1] (numeric) 45.077801329368214 absolute error 2.6974226093663773 relative error 6.364791186005382% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.130000000000436 x1[1] (closed_form) 2.000003917845729 x1[1] (numeric) 1.9596301054008438 absolute error 0.04037381244488536 relative error 2.0186866677927977% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 43.21631780107477 x2[1] (numeric) 45.968844563857694 absolute error 2.752526762782921 relative error 6.369183916715983% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.140000000000439 x1[1] (closed_form) 2.000003878862513 x1[1] (numeric) 1.9592163082315428 absolute error 0.04078757063097016 relative error 2.039374576321711% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 44.069143971963996 x2[1] (numeric) 46.87789430380167 absolute error 2.808750331837672 relative error 6.373507807695446% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.150000000000443 x1[1] (closed_form) 2.000003840267186 x1[1] (numeric) 1.9587983523315518 absolute error 0.04120548793563428 relative error 2.06027044078723% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 44.93919837451098 x2[1] (numeric) 47.80531436743344 absolute error 2.8661159929224596 relative error 6.3777639490518565% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.160000000000446 x1[1] (closed_form) 2.0000038020558892 x1[1] (numeric) 1.9583761959049322 absolute error 0.041627606150957064 relative error 2.081376350793247% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 45.826829042079545 x2[1] (numeric) 48.751475923232206 absolute error 2.924646881152661 relative error 6.381953415251935% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.170000000000449 x1[1] (closed_form) 2.0000037642248008 x1[1] (numeric) 1.95794979673569 absolute error 0.04205396748911072 relative error 2.1026944169482995% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 46.73239103877387 x2[1] (numeric) 49.71675763841425 absolute error 2.9843665996403814 relative error 6.386077265261801% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.180000000000453 x1[1] (closed_form) 2.0000037267701383 x1[1] (numeric) 1.9575191121835531 absolute error 0.042484614586585145 relative error 2.1242267710768084% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 47.65624660146884 x2[1] (numeric) 50.70154583042385 absolute error 3.0452992289550167 relative error 6.3901365426902% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.190000000000456 x1[1] (closed_form) 2.000003689688156 x1[1] (numeric) 1.9570840991797065 absolute error 0.0429195905084494 relative error 2.145975566432155% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 48.59876528470964 x2[1] (numeric) 51.70623462148464 absolute error 3.1074693367749973 relative error 6.394132275933938% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.200000000000459 x1[1] (closed_form) 2.0000036529751455 x1[1] (numeric) 1.9566447142224874 absolute error 0.04335893875265806 relative error 2.1679429779119954% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 49.560324108538516 x2[1] (numeric) 52.73122609627306 absolute error 3.1709019877345455 relative error 6.398065478325324% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.210000000000463 x1[1] (closed_form) 2.0000036166274353 x1[1] (numeric) 1.956200913373034 absolute error 0.043802703254401276 relative error 2.1901312022757673% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 50.54130770930778 x2[1] (numeric) 53.77693046277725 absolute error 3.235622753469471 relative error 6.401937148281569% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.220000000000466 x1[1] (closed_form) 2.000003580641391 x1[1] (numeric) 1.955752652250892 absolute error 0.044250928390499045 relative error 2.2125424583643993% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 51.54210849353952 x2[1] (numeric) 54.84376621640541 absolute error 3.3016577228658903 relative error 6.405748269455707% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.230000000000469 x1[1] (closed_form) 2.000003545013414 x1[1] (numeric) 1.955299886029575 absolute error 0.04470365898383899 relative error 2.2351789873222034% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 52.56312679489342 x2[1] (numeric) 55.932160307409575 absolute error 3.369033512516154 relative error 6.409499810889219% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.240000000000473 x1[1] (closed_form) 2.000003509739941 x1[1] (numeric) 1.954842569432084 absolute error 0.045160940307857 relative error 2.258043052820905% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 53.604771034305564 x2[1] (numeric) 57.04254831169157 absolute error 3.4377772773860045 relative error 6.4131927271658755% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.250000000000476 x1[1] (closed_form) 2.0000034748174453 x1[1] (numeric) 1.9543806567263773 absolute error 0.04562281809106805 relative error 2.2811369412861833% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 54.66745788336223 x2[1] (numeric) 58.17537460505949 absolute error 3.5079167216972564 relative error 6.416827958566687% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.260000000000479 x1[1] (closed_form) 2.000003440242434 x1[1] (numeric) 1.9539141017208013 absolute error 0.04608933852163277 relative error 2.3044629621260038% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 55.75161243097417 x2[1] (numeric) 59.33109254100463 absolute error 3.5794801100304596 relative error 6.4204064312260005% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.270000000000483 x1[1] (closed_form) 2.0000034060114498 x1[1] (numeric) 1.9534428577594656 absolute error 0.04656054825198419 relative error 2.32802344796195% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 56.857668353417715 x2[1] (numeric) 60.51016463206963 absolute error 3.652496278651917 relative error 6.42392905728848% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.280000000000486 x1[1] (closed_form) 2.0000033721210695 x1[1] (numeric) 1.9529668777175815 absolute error 0.047036494403488005 relative error 2.3518207548622407% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 57.986068087811184 x2[1] (numeric) 61.713062734880715 absolute error 3.7269946470695317 relative error 6.427396735066704% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.290000000000489 x1[1] (closed_form) 2.0000033385679044 x1[1] (numeric) 1.9524861139967478 absolute error 0.04751722457115659 relative error 2.3758572625774286% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 59.137263009095555 x2[1] (numeric) 62.9402682389178 absolute error 3.803005229822247 relative error 6.430810349199505% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.300000000000493 x1[1] (closed_form) 2.000003305348599 x1[1] (numeric) 1.9520005185201907 absolute error 0.048002786828408084 relative error 2.400135374778355% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 60.31171361059047 x2[1] (numeric) 64.19227225909817 absolute error 3.8805586485077015 relative error 6.43417077081075% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.310000000000496 x1[1] (closed_form) 2.0000032724598307 x1[1] (numeric) 1.9515100427279595 absolute error 0.0484932297318712 relative error 2.4246575192963924% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 61.509889688197774 x2[1] (numeric) 65.46957583225058 absolute error 3.95968614405281 relative error 6.437478857668275% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.320000000000499 x1[1] (closed_form) 2.0000032398983114 x1[1] (numeric) 1.951014637572066 absolute error 0.048988602326245356 relative error 2.449426148366447% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 62.73227052832602 x2[1] (numeric) 66.77269011755851 absolute error 4.040419589232492 relative error 6.440735454343372% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.330000000000503 x1[1] (closed_form) 2.0000032076607845 x1[1] (numeric) 1.9505142535115814 absolute error 0.04948895414920318 relative error 2.4744437388720866% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 63.97934509961153 x2[1] (numeric) 68.10213660105279 absolute error 4.122791501441263 relative error 6.443941392370232% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.340000000000506 x1[1] (closed_form) 2.0000031757440264 x1[1] (numeric) 1.950008840507683 absolute error 0.049994335236343446 relative error 2.4997127925931877% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 65.25161224851232 x2[1] (numeric) 69.45844730423521 absolute error 4.206835055722891 relative error 6.447097490405386% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.3500000000005095 x1[1] (closed_form) 2.0000031441448454 x1[1] (numeric) 1.9494983480186492 absolute error 0.05050479612619618 relative error 2.52523583645619% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 66.5495808988533 x2[1] (numeric) 70.84216499691675 absolute error 4.292584098063443 relative error 6.450204554387221% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.360000000000513 x1[1] (closed_form) 2.0000031128600813 x1[1] (numeric) 1.9489827249948055 absolute error 0.05102038786527574 relative error 2.5510154227867488% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 67.87377025540269 x2[1] (numeric) 72.25384341435552 absolute error 4.3800731589528255 relative error 6.45326337769512% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.370000000000516 x1[1] (closed_form) 2.000003081886606 x1[1] (numeric) 1.9484619198734203 absolute error 0.05154116201318559 relative error 2.5770541295649774% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 69.22471001156079 x2[1] (numeric) 73.69404747878113 absolute error 4.469337467220342 relative error 6.456274741308336% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.3800000000005195 x1[1] (closed_form) 2.000003051221322 x1[1] (numeric) 1.9479358805735476 absolute error 0.05206717064777422 relative error 2.6033545606832393% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 70.60294056124435 x2[1] (numeric) 75.1633535253944 absolute error 4.560412964150046 relative error 6.4592394139648155% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.390000000000523 x1[1] (closed_form) 2.0000030208611626 x1[1] (numeric) 1.9474045544908185 absolute error 0.052598466370344044 relative error 2.6299193462065955% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 72.00901321505144 x2[1] (numeric) 76.66234953293252 absolute error 4.6533363178810845 relative error 6.462158152319239% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.400000000000526 x1[1] (closed_form) 2.000002990803092 x1[1] (numeric) 1.9468678884921815 absolute error 0.05313510231091034 relative error 2.6567511426357515% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 73.44349042079301 x2[1] (numeric) 78.1916353588921 absolute error 4.748144938099088 relative error 6.465031701100651% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.4100000000005295 x1[1] (closed_form) 2.0000029610441037 x1[1] (numeric) 1.9463258289105896 absolute error 0.053677132133514105 relative error 2.683852633172698% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 74.90694598847942 x2[1] (numeric) 79.75182297950406 absolute error 4.844876991024634 relative error 6.467860793269785% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.420000000000533 x1[1] (closed_form) 2.0000029315812227 x1[1] (numeric) 1.945778321539633 absolute error 0.05422461004158974 relative error 2.7112265279890972% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 76.39996531985229 x2[1] (numeric) 81.34353673455632 absolute error 4.943571414704039 relative error 6.470646150174976% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.430000000000536 x1[1] (closed_form) 2.0000029024115022 x1[1] (numeric) 1.945225311628118 absolute error 0.05477759078338429 relative error 2.738875564497244% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 77.9231456425528 x2[1] (numeric) 82.9674135771627 absolute error 5.0442679346099055 relative error 6.47338848170844% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.4400000000005395 x1[1] (closed_form) 2.000002873532025 x1[1] (numeric) 1.9446667438745944 absolute error 0.055336129657430844 relative error 2.7668025076237357% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 79.47709624902085 x2[1] (numeric) 84.62410332857706 absolute error 5.147007079556218 relative error 6.476088486460814% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.450000000000543 x1[1] (closed_form) 2.0000028449399037 x1[1] (numeric) 1.9441025624218204 absolute error 0.05590028251808321 relative error 2.795010150086207% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 81.06243874022006 x2[1] (numeric) 86.31426893815535 absolute error 5.251830197935291 relative error 6.4787468518752265% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.460000000000546 x1[1] (closed_form) 2.0000028166322785 x1[1] (numeric) 1.94353271085118 absolute error 0.05647010578109857 relative error 2.8235013126724606% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 82.67980727428657 x2[1] (numeric) 88.0385867485695 absolute error 5.358779474282926 relative error 6.481364254400611% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.4700000000005495 x1[1] (closed_form) 2.000002788606319 x1[1] (numeric) 1.942957132177041 absolute error 0.05704565642927828 relative error 2.852278844522509% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 84.3298488202006 x2[1] (numeric) 89.79774676637878 absolute error 5.467897946178184 relative error 6.483941359643929% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.480000000000553 x1[1] (closed_form) 2.0000027608592226 x1[1] (numeric) 1.9423757688410572 absolute error 0.057626992018165346 relative error 2.8813456234134485% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 86.01322341658273 x2[1] (numeric) 91.5924529380673 absolute error 5.579229521484564 relative error 6.486478822521293% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.490000000000556 x1[1] (closed_form) 2.0000027333882144 x1[1] (numeric) 1.9417885627064102 absolute error 0.058214170681804234 relative error 2.910704556047447% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 87.73060443571825 x2[1] (numeric) 93.42342343165787 absolute error 5.692818995939618 relative error 6.48897728740812% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.5000000000005596 x1[1] (closed_form) 2.000002706190547 x1[1] (numeric) 1.941195455051997 absolute error 0.05880725113855023 relative error 2.9403585783422166% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 89.48267885291487 x2[1] (numeric) 95.29139092401496 absolute error 5.808712071100089 relative error 6.491437388288328% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.510000000000563 x1[1] (closed_form) 2.0000026792635017 x1[1] (numeric) 1.9405963865665585 absolute error 0.0594062926969432 relative error 2.970310655724696% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 91.27014752130218 x2[1] (numeric) 97.19710289395165 absolute error 5.9269553726494735 relative error 6.49385974890217% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.520000000000566 x1[1] (closed_form) 2.000002652604384 x1[1] (numeric) 1.9399912973427462 absolute error 0.06001135526163792 relative error 3.0005637834275727% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 93.09372545218204 x2[1] (numeric) 99.14132192125777 absolute error 6.047596469075728 relative error 6.49624498289318% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.53000000000057 x1[1] (closed_form) 2.0000026262105295 x1[1] (numeric) 1.9393801268711335 absolute error 0.06062249933939601 relative error 3.0311209867888746% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 94.95414210104289 x2[1] (numeric) 101.12482599176904 absolute error 6.170683890726153 relative error 6.498593693953642% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.540000000000573 x1[1] (closed_form) 2.000002600079298 x1[1] (numeric) 1.938762814034164 absolute error 0.06123978604513414 relative error 3.061985321554384% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 96.85214165935146 x2[1] (numeric) 103.14840880859889 absolute error 6.296267149247427 relative error 6.500906475968978% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.550000000000576 x1[1] (closed_form) 2.000002574208077 x1[1] (numeric) 1.9381392971000395 absolute error 0.06186327710803741 relative error 3.093159874183305% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 98.7884833522394 x2[1] (numeric) 105.21288010965789 absolute error 6.424396757418492 relative error 6.503183913160926% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.56000000000058 x1[1] (closed_form) 2.0000025485942787 x1[1] (numeric) 1.9375095137165481 absolute error 0.06249303487773061 relative error 3.1246477621568256% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 100.76394174220337 x2[1] (numeric) 107.31906599158742 absolute error 6.5551242493840505 relative error 6.505426580229286% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.570000000000583 x1[1] (closed_form) 2.000002523235342 x1[1] (numeric) 1.9368734009048265 absolute error 0.06312912233051549 relative error 3.156452134289984% Desired digits 12 Estimated correct digits 11 Correct digits 2 h 0.001 x2[1] (closed_form) 102.77930703894042 x2[1] (numeric) 109.46780924023741 absolute error 6.688502201296998 relative error 6.507635042492453% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.580000000000586 x1[1] (closed_form) 2.0000024981287305 x1[1] (numeric) 1.9362308950530636 absolute error 0.06377160307566698 relative error 3.1885761710464777% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 104.83538541544245 x2[1] (numeric) 111.65996966782032 absolute error 6.824584252377875 relative error 6.509809856026533% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.59000000000059 x1[1] (closed_form) 2.0000024732719344 x1[1] (numeric) 1.9355819319101388 absolute error 0.06442054136179554 relative error 3.221023084856779% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 106.93299933047602 x2[1] (numeric) 113.89642445687602 absolute error 6.963425126399997 relative error 6.511951567803273% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.600000000000593 x1[1] (closed_form) 2.0000024486624675 x1[1] (numeric) 1.9349264465791955 absolute error 0.06507600208327191 relative error 3.253796120439377% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 109.07298785757696 x2[1] (numeric) 116.17806851118557 absolute error 7.10508065360861 relative error 6.514060715826482% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.610000000000596 x1[1] (closed_form) 2.000002424297869 x1[1] (numeric) 1.9342643735111547 absolute error 0.06573805078671446 relative error 3.2868985551251417% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 111.25620702069092 x2[1] (numeric) 118.50581481377368 absolute error 7.24960779308276 relative error 6.51613782926692% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.6200000000006 x1[1] (closed_form) 2.000002400175702 x1[1] (numeric) 1.9335956464981572 absolute error 0.066406753677545 relative error 3.3203336991851162% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 113.48353013659431 x2[1] (numeric) 120.8805947921437 absolute error 7.397064655549386 relative error 6.518183428596131% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.630000000000603 x1[1] (closed_form) 2.000002376293555 x1[1] (numeric) 1.9329201986669449 absolute error 0.06708217762660995 relative error 3.3541048961615743% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 115.7558481642328 x2[1] (numeric) 123.30335869089085 absolute error 7.547510526658044 relative error 6.520198025718528% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.640000000000606 x1[1] (closed_form) 2.0000023526490387 x1[1] (numeric) 1.9322379624721704 absolute error 0.0677643901768683 relative error 3.388215523202418% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 118.07407006111653 x2[1] (numeric) 125.77507595184277 absolute error 7.701005890726236 relative error 6.522182124102358% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.65000000000061 x1[1] (closed_form) 2.00000232923979 x1[1] (numeric) 1.9315488696896481 absolute error 0.06845345955014182 relative error 3.4226689913986896% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 120.4391231469155 x2[1] (numeric) 128.2967356018796 absolute error 7.857612454964084 relative error 6.524136218908798% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.660000000000613 x1[1] (closed_form) 2.000002306063467 x1[1] (numeric) 1.9308528514095253 absolute error 0.06914945465394151 relative error 3.457468746125894% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 122.8519534743997 x2[1] (numeric) 130.8693466485886 absolute error 8.017393174188882 relative error 6.526060797119984% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.670000000000616 x1[1] (closed_form) 2.0000022831177517 x1[1] (numeric) 1.930149838029394 absolute error 0.06985244508835775 relative error 3.4926182673885044% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 125.31352620787277 x2[1] (numeric) 133.49393848391162 absolute error 8.180412276038851 relative error 6.527956337665422% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.68000000000062 x1[1] (closed_form) 2.0000022604003505 x1[1] (numeric) 1.9294397592473302 absolute error 0.07056250115302021 relative error 3.528121070167959% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 127.82482600925066 x2[1] (numeric) 136.1715612959471 absolute error 8.346735286696443 relative error 6.529823311547% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.690000000000623 x1[1] (closed_form) 2.0000022379089915 x1[1] (numeric) 1.9287225440548648 absolute error 0.07127969385412669 relative error 3.563980704774102% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 130.38685743193943 x2[1] (numeric) 138.90328648907067 absolute error 8.516429057131234 relative error 6.531662181962411% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.700000000000626 x1[1] (closed_form) 2.000002215641425 x1[1] (numeric) 1.9279981207298793 absolute error 0.07200409491154569 relative error 3.6002007572003163% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 133.00064532267027 x2[1] (numeric) 141.69020711254333 absolute error 8.689561789873068 relative error 6.533473404427093% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.71000000000063 x1[1] (closed_form) 2.0000021935954244 x1[1] (numeric) 1.9272664168294371 absolute error 0.0727357767659873 relative error 3.6367848494820625% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 135.66723523145146 x2[1] (numeric) 144.53343829777808 absolute error 8.86620306632662 relative error 6.535257426895058% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.720000000000633 x1[1] (closed_form) 2.0000021717687853 x1[1] (numeric) 1.9265273591825416 absolute error 0.07347481258624367 relative error 3.6737366400589035% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 138.38769382980269 x2[1] (numeric) 147.43411770443967 absolute error 9.046423874636986 relative error 6.537014689877561% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.730000000000636 x1[1] (closed_form) 2.000002150159325 x1[1] (numeric) 1.925780873882811 absolute error 0.07422127627651376 relative error 3.711059824140745% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 141.1631093374376 x2[1] (numeric) 150.3934059755568 absolute error 9.2302966381192 relative error 6.538745626560984% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.74000000000064 x1[1] (closed_form) 2.0000021287648817 x1[1] (numeric) 1.9250268862810902 absolute error 0.0749752424837915 relative error 3.7487581340772422% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 143.99459195756637 x2[1] (numeric) 153.41248720182801 absolute error 9.417895244261643 relative error 6.540450662922809% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.750000000000643 x1[1] (closed_form) 2.000002107583317 x1[1] (numeric) 1.9242653209779912 absolute error 0.07573678660532601 relative error 3.786835339730807% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 146.88327432099177 x2[1] (numeric) 156.49256939530733 absolute error 9.609295074315554 relative error 6.542130217846216% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.760000000000646 x1[1] (closed_form) 2.000002086612513 x1[1] (numeric) 1.9234961018163497 absolute error 0.07650598479616333 relative error 3.8252952488537004% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 149.83031193917648 x2[1] (numeric) 159.63488497265917 absolute error 9.804573033482683 relative error 6.543784703233377% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.77000000000065 x1[1] (closed_form) 2.0000020658503717 x1[1] (numeric) 1.922719151873609 absolute error 0.07728291397676257 relative error 3.864141707468837% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 152.8368836664632 x2[1] (numeric) 162.84069124817555 absolute error 10.003807581712351 relative error 6.5454145241169135% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.780000000000653 x1[1] (closed_form) 2.000002045294817 x1[1] (numeric) 1.921934393454127 absolute error 0.07806765184068998 relative error 3.903378600254489% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 155.904192171632 x2[1] (numeric) 166.1112709367534 absolute error 10.207078765121423 relative error 6.547020078770327% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.790000000000656 x1[1] (closed_form) 2.0000020249437935 x1[1] (numeric) 1.921141748081407 absolute error 0.0788602768623865 relative error 3.9430098509326625% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 159.03346441898398 x2[1] (numeric) 169.4479326670325 absolute error 10.414468248048507 relative error 6.548601758816569% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.80000000000066 x1[1] (closed_form) 2.0000020047952662 x1[1] (numeric) 1.9203411364902545 absolute error 0.07966086830501173 relative error 3.983039422661297% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 162.22595215914333 x2[1] (numeric) 172.8520115048996 absolute error 10.62605934575626 relative error 6.55015994933543% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.810000000000663 x1[1] (closed_form) 2.00000198484722 x1[1] (numeric) 1.9195324786188435 absolute error 0.08046950622837645 relative error 4.023471318430892% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 165.48293242977414 x2[1] (numeric) 176.32486948756844 absolute error 10.841937057794297 relative error 6.551695028969397% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.820000000000666 x1[1] (closed_form) 2.00000196509766 x1[1] (numeric) 1.918715693600712 absolute error 0.08128627149694823 relative error 4.064309581464787% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 168.80570806641268 x2[1] (numeric) 179.86789616844865 absolute error 11.062188102035975 relative error 6.553207370027923% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.83000000000067 x1[1] (closed_form) 2.0000019455446116 x1[1] (numeric) 1.9178906997566771 absolute error 0.0821112457879345 relative error 4.1055582956233145% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 172.19560822361885 x2[1] (numeric) 183.48250917302212 absolute error 11.286900949403275 relative error 6.554697338590504% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.840000000000673 x1[1] (closed_form) 2.0000019261861195 x1[1] (numeric) 1.9170574145866652 absolute error 0.08294451159945426 relative error 4.147221585812386% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 175.65398890665577 x2[1] (numeric) 187.1701547659489 absolute error 11.516165859293125 relative error 6.5561652946082125% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.850000000000676 x1[1] (closed_form) 2.000001907020247 x1[1] (numeric) 1.9162157547614664 absolute error 0.08378615225878061 relative error 4.18930361839562% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 179.18223351390998 x2[1] (numeric) 190.93230842962933 absolute error 11.750074915719352 relative error 6.55761159200373% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.86000000000068 x1[1] (closed_form) 2.000001888045079 x1[1] (numeric) 1.915365636114398 absolute error 0.08463625193068092 relative error 4.231808601611344% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 182.78175339026922 x2[1] (numeric) 194.77047545445438 absolute error 11.988722064185168 relative error 6.5590365787701295% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.870000000000683 x1[1] (closed_form) 2.0000018692587163 x1[1] (numeric) 1.9145069736328846 absolute error 0.08549489562583168 relative error 4.274740785993347% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 186.45398839167925 x2[1] (numeric) 198.6861915409795 absolute error 12.232203149300261 relative error 6.560440597068043% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.8800000000006865 x1[1] (closed_form) 2.0000018506592814 x1[1] (numeric) 1.913639681449963 absolute error 0.08636216920931838 relative error 4.318104464795866% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 190.20040746110539 x2[1] (numeric) 202.6810234142638 absolute error 12.480615953158406 relative error 6.561823983321697% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.89000000000069 x1[1] (closed_form) 2.0000018322449136 x1[1] (numeric) 1.9127636728356927 absolute error 0.08723815940922086 relative error 4.361903974422858% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 194.02250921612915 x2[1] (numeric) 206.75656945061945 absolute error 12.7340602344903 relative error 6.563187068313471% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.900000000000693 x1[1] (closed_form) 2.000001814013772 x1[1] (numeric) 1.911878860188481 absolute error 0.088122953825291 relative error 4.406143694861878% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 197.9218225484156 x2[1] (numeric) 210.91446031702264 absolute error 12.99263776860704 relative error 6.56453017727683% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.9100000000006965 x1[1] (closed_form) 2.0000017959640335 x1[1] (numeric) 1.910985155026328 absolute error 0.08901664093770556 relative error 4.450828050121729% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 201.8999072352901 x2[1] (numeric) 215.1563596234415 absolute error 13.256452388151388 relative error 6.565853629988341% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.9200000000007 x1[1] (closed_form) 2.000001778093893 x1[1] (numeric) 1.910082467977972 absolute error 0.08991931011592103 relative error 4.4959615086752% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 205.9583545636701 x2[1] (numeric) 219.48396458834205 absolute error 13.525610024671948 relative error 6.567157740858059% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.930000000000703 x1[1] (closed_form) 2.000001760401563 x1[1] (numeric) 1.909170708773958 absolute error 0.09083105162760519 relative error 4.541548583905646% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 210.0987879666012 x2[1] (numeric) 223.89900671763854 absolute error 13.800218751037335 relative error 6.568442819018601% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.9400000000007065 x1[1] (closed_form) 2.0000017428852748 x1[1] (numeric) 1.908249786237605 absolute error 0.09175195664766966 relative error 4.5875938345586125% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 214.32286367265198 x2[1] (numeric) 228.4032524973595 absolute error 14.080388824707512 relative error 6.5697091684130005% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.95000000000071 x1[1] (closed_form) 2.0000017255432767 x1[1] (numeric) 1.907319608275888 absolute error 0.09268211726738862 relative error 4.634101865197772% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 218.63227136842755 x2[1] (numeric) 232.9985041003065 absolute error 14.366232731878938 relative error 6.570957087881012% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.960000000000713 x1[1] (closed_form) 2.000001708373834 x1[1] (numeric) 1.9063800818702368 absolute error 0.09362162650359718 relative error 4.681077326664849% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 223.02873487446655 x2[1] (numeric) 237.68660010698918 absolute error 14.657865232522624 relative error 6.572186871244604% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.9700000000007165 x1[1] (closed_form) 2.0000016913752305 x1[1] (numeric) 1.9054311130672277 absolute error 0.09457057830800286 relative error 4.728524916545183% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 227.51401283479254 x2[1] (numeric) 242.46941624112347 absolute error 14.95540340633093 relative error 6.573398807391559% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.98000000000072 x1[1] (closed_form) 2.0000016745457656 x1[1] (numeric) 1.9044726069691889 absolute error 0.09552906757657675 relative error 4.776449379637296% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 232.08989942039506 x2[1] (numeric) 247.3488661199885 absolute error 15.25896669959343 relative error 6.574593180358169% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 6.990000000000723 x1[1] (closed_form) 2.000001657883757 x1[1] (numeric) 1.9035044677247124 absolute error 0.09649719015904457 relative error 4.82485550842744% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 236.7582250469218 x2[1] (numeric) 252.32690201994177 absolute error 15.568676973019961 relative error 6.575770269410699% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.0000000000007265 x1[1] (closed_form) 2.000001641387538 x1[1] (numeric) 1.9025265985190676 absolute error 0.09747504286847031 relative error 4.873748143568783% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 241.52085710686944 x2[1] (numeric) 257.4055156573988 absolute error 15.884658550529338 relative error 6.576930349125338% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.01000000000073 x1[1] (closed_form) 2.000001625055459 x1[1] (numeric) 1.901538901564522 absolute error 0.09846272349093699 relative error 4.923132174365442% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 246.37970071656534 x2[1] (numeric) 262.58673898558976 absolute error 16.207038269024423 relative error 6.578073689467204% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.020000000000733 x1[1] (closed_form) 2.000001608885887 x1[1] (numeric) 1.9005412780905562 absolute error 0.09946033079533101 relative error 4.973012539261705% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 251.33669947823958 x2[1] (numeric) 267.8726450074119 absolute error 16.535945529172324 relative error 6.579200555867882% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.0300000000007365 x1[1] (closed_form) 2.0000015928772052 x1[1] (numeric) 1.8995336283339894 absolute error 0.10046796454321583 relative error 5.023394226335713% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 256.39383625749196 x2[1] (numeric) 273.2653486047029 absolute error 16.871512347210967 relative error 6.580311209301925% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.04000000000074 x1[1] (closed_form) 2.000001577027812 x1[1] (numeric) 1.898515851529004 absolute error 0.10148572549880797 relative error 5.0742822737982625% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 261.55313397646427 x2[1] (numeric) 278.7670073842668 absolute error 17.21387340780251 relative error 6.58140590636222% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.050000000000743 x1[1] (closed_form) 2.000001561336123 x1[1] (numeric) 1.8974878458970759 absolute error 0.10251371543904719 relative error 5.125681770496308% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 266.81665642303653 x2[1] (numeric) 284.3798225409904 absolute error 17.56316611795387 relative error 6.582484899333853% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.060000000000747 x1[1] (closed_form) 2.0000015458005693 x1[1] (numeric) 1.896449508636784 absolute error 0.10355203716378525 relative error 5.177597856422405% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 272.18650907636925 x2[1] (numeric) 290.10603973839676 absolute error 17.919530662027512 relative error 6.583548436267172% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.07000000000075 x1[1] (closed_form) 2.0000015304195964 x1[1] (numeric) 1.8954007359135354 absolute error 0.10460079450606097 relative error 5.230035723228468% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 277.66483994912375 x2[1] (numeric) 295.9479500069866 absolute error 18.28311005786287 relative error 6.584596761049352% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.080000000000753 x1[1] (closed_form) 2.0000015151916672 x1[1] (numeric) 1.894341422849187 absolute error 0.1056600923424802 relative error 5.283000614744755% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 283.2538404466951 x2[1] (numeric) 301.907890660728 absolute error 18.654050214032907 relative error 6.585630113475325% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.090000000000757 x1[1] (closed_form) 2.0000015001152582 x1[1] (numeric) 1.893271463511543 absolute error 0.10673003660371516 relative error 5.33649782750485% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 288.95574624380413 x2[1] (numeric) 307.98824623205996 absolute error 19.032499988255836 relative error 6.58664872931695% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.10000000000076 x1[1] (closed_form) 2.0000014851888617 x1[1] (numeric) 1.8921907509037768 absolute error 0.10781073428508492 relative error 5.390532711274675% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 294.772838178797 x2[1] (numeric) 314.19144942578544 absolute error 19.418611246988462 relative error 6.587652840391603% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.110000000000763 x1[1] (closed_form) 2.000001470410986 x1[1] (numeric) 1.8910991769537269 absolute error 0.10890229345725899 relative error 5.445110669587676% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 300.70744316601053 x2[1] (numeric) 320.5199820922333 absolute error 19.81253892622277 relative error 6.588642674629417% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.120000000000767 x1[1] (closed_form) 2.000001455780152 x1[1] (numeric) 1.8899966325030921 absolute error 0.11000482327705985 relative error 5.500237160284948% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 306.7619351265696 x2[1] (numeric) 326.97637622008045 absolute error 20.214441093510857 relative error 6.5896184561394175% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.13000000000077 x1[1] (closed_form) 2.0000014412948977 x1[1] (numeric) 1.8888830072965115 absolute error 0.11111843399838617 relative error 5.555917696061395% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 312.9387359379866 x2[1] (numeric) 333.5632149492301 absolute error 20.624479011243466 relative error 6.590580405274758% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.140000000000773 x1[1] (closed_form) 2.000001426953774 x1[1] (numeric) 1.8877581899705362 absolute error 0.11224323698323757 relative error 5.612157845016971% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 319.2403164029456 x2[1] (numeric) 340.2831336041519 absolute error 21.042817201206276 relative error 6.591528738696651% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.150000000000777 x1[1] (closed_form) 2.0000014127553465 x1[1] (numeric) 1.8866220680424992 absolute error 0.11337934471284727 relative error 5.668963231213307% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 325.6691972376552 x2[1] (numeric) 347.1388207480967 absolute error 21.469623510441465 relative error 6.592463669437588% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.16000000000078 x1[1] (closed_form) 2.000001398698196 x1[1] (numeric) 1.885474527899257 absolute error 0.11452687079893886 relative error 5.726339535236555% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 332.22795008016965 x2[1] (numeric) 354.13301925860856 absolute error 21.905069178438907 relative error 6.593385406963205% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.170000000000783 x1[1] (closed_form) 2.000001384780916 x1[1] (numeric) 1.8843154547858383 absolute error 0.11568592999507787 relative error 5.784292494764964% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 338.919198519078 x2[1] (numeric) 361.26852742476353 absolute error 22.349328905685525 relative error 6.5942941572333105% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.180000000000787 x1[1] (closed_form) 2.000001371002116 x1[1] (numeric) 1.8831447327939637 absolute error 0.11685663820815217 relative error 5.842827905142898% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 345.7456191429741 x2[1] (numeric) 368.5482000665742 absolute error 22.802580923600146 relative error 6.595190122762115% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.19000000000079 x1[1] (closed_form) 2.000001357360417 x1[1] (numeric) 1.8819622448504623 absolute error 0.11803911250995469 relative error 5.901951619959979% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 352.70994261112844 x2[1] (numeric) 375.9749496770077 absolute error 23.265007065879274 relative error 6.596073502676823% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.200000000000793 x1[1] (closed_form) 2.0000013438544553 x1[1] (numeric) 1.8807678727055541 absolute error 0.11923347114890115 relative error 5.961669551636964% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 359.814954745788 x2[1] (numeric) 383.55174758707454 absolute error 23.736792841286558 relative error 6.596944492775955% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.210000000000797 x1[1] (closed_form) 2.00000133048288 x1[1] (numeric) 1.879561496921029 absolute error 0.12043983356185084 relative error 6.021987672016792% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 367.06349764654186 x2[1] (numeric) 391.28162515445393 absolute error 24.218127507912072 relative error 6.597803285586449% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.2200000000008 x1[1] (closed_form) 2.000001317244354 x1[1] (numeric) 1.8783429968583014 absolute error 0.12165832038605262 relative error 6.082912012961878% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 374.4584708271996 x2[1] (numeric) 399.16767497613097 absolute error 24.70920414893135 relative error 6.59865007041965% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.230000000000803 x1[1] (closed_form) 2.0000013041375535 x1[1] (numeric) 1.8771122506663536 absolute error 0.12288905347119994 relative error 6.144448666956871% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 382.00283237563525 x2[1] (numeric) 407.213052125531 absolute error 25.21021974989577 relative error 6.599485033426605% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.240000000000807 x1[1] (closed_form) 2.000001291161168 x1[1] (numeric) 1.8758691352695405 absolute error 0.12413215589162774 relative error 6.206603787718488% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 389.6996001370615 x2[1] (numeric) 415.42097541464574 absolute error 25.72137527758423 relative error 6.600308357652342% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.25000000000081 x1[1] (closed_form) 2.0000012783139 x1[1] (numeric) 1.8746135263552837 absolute error 0.1253877519586164 relative error 6.269383590810726% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 397.55185292120854 x2[1] (numeric) 423.79472868165647 absolute error 26.24287576044793 relative error 6.60112022308925% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.260000000000813 x1[1] (closed_form) 2.000001265594464 x1[1] (numeric) 1.8733452983616499 absolute error 0.12665596723281403 relative error 6.332794354265964% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 405.56273173388877 x2[1] (numeric) 432.337662104569 absolute error 26.774930370680238 relative error 6.601920806729522% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.270000000000817 x1[1] (closed_form) 2.0000012530015887 x1[1] (numeric) 1.872064324464779 absolute error 0.1279369285368097 relative error 6.396842419213629% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 413.7354410334411 x2[1] (numeric) 441.05319354138635 absolute error 27.317752507945272 relative error 6.60271028261687% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.28000000000082 x1[1] (closed_form) 2.0000012405340146 x1[1] (numeric) 1.8707704765662114 absolute error 0.1292307639678032 relative error 6.461534190513685% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 422.07325001255674 x2[1] (numeric) 449.944809897354 absolute error 27.87155988479725 relative error 6.603488821897163% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.290000000000823 x1[1] (closed_form) 2.000001228190495 x1[1] (numeric) 1.869463625280083 absolute error 0.13053760291041216 relative error 6.52687613739699% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 430.57949390600055 x2[1] (numeric) 459.0160685198267 absolute error 28.436574613826167 relative error 6.604256592868339% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.300000000000827 x1[1] (closed_form) 2.0000012159697955 x1[1] (numeric) 1.8681436399201732 absolute error 0.13185757604962234 relative error 6.5928747941128085% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 439.25757532474825 x2[1] (numeric) 468.2705986213128 absolute error 29.01302329656454 relative error 6.605013761029591% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.31000000000083 x1[1] (closed_form) 2.000001203870694 x1[1] (numeric) 1.8668103884868463 absolute error 0.13319081538384747 relative error 6.659536760581804% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 448.1109656170775 x2[1] (numeric) 477.71210273126627 absolute error 29.60113711418876 relative error 6.605760489129316% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.320000000000833 x1[1] (closed_form) 2.0000011918919802 x1[1] (numeric) 1.8654637376538479 absolute error 0.13453745423813235 relative error 6.726868703056188% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 457.1432062571524 x2[1] (numeric) 487.3443581772079 absolute error 30.20115192005545 relative error 6.606496937212862% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.330000000000837 x1[1] (closed_form) 2.0000011800324566 x1[1] (numeric) 1.864103552754974 absolute error 0.13589762727748256 relative error 6.794877354786219% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 466.35791026166135 x2[1] (numeric) 497.1712185957657 absolute error 30.813308334104363 relative error 6.607223262668755% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.34000000000084 x1[1] (closed_form) 2.0000011682909378 x1[1] (numeric) 1.8627296977706 absolute error 0.13727147052033772 relative error 6.863569516693853% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 475.7587636350709 x2[1] (numeric) 507.1966154742425 absolute error 31.43785183917157 relative error 6.607939620274839% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.350000000000843 x1[1] (closed_form) 2.0000011566662486 x1[1] (numeric) 1.861342035314082 absolute error 0.13865912135216663 relative error 6.932952058052506% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 485.34952684407745 x2[1] (numeric) 517.4245597233238 absolute error 32.07503287924635 relative error 6.6086461622431365% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.360000000000847 x1[1] (closed_form) 2.0000011451572273 x1[1] (numeric) 1.8599404266180175 absolute error 0.14006071853920976 relative error 7.003031917174182% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 495.13403632184367 x2[1] (numeric) 527.8591432815581 absolute error 32.725106959714424 relative error 6.609343038264223% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.37000000000085 x1[1] (closed_form) 2.0000011337627224 x1[1] (numeric) 1.8585247315203772 absolute error 0.14147640224234515 relative error 7.073816102102756% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 505.11620600262324 x2[1] (numeric) 538.5045407522482 absolute error 33.38833474962496 relative error 6.610030395550516% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.380000000000853 x1[1] (closed_form) 2.000001122481595 x1[1] (numeric) 1.8570948084504644 absolute error 0.1429063140311304 relative error 7.145311691316089% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 515.3000288873862 x2[1] (numeric) 549.3650110734123 absolute error 34.0649821860261 relative error 6.61070837887934% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.390000000000857 x1[1] (closed_form) 2.0000011113127165 x1[1] (numeric) 1.8556505144147875 absolute error 0.14435059689792906 relative error 7.217525834432332% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 525.6895786410735 x2[1] (numeric) 560.4448992214794 absolute error 34.755320580405964 relative error 6.611377130634723% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.40000000000086 x1[1] (closed_form) 2.0000011002549702 x1[1] (numeric) 1.854191704982733 absolute error 0.14580939527223724 relative error 7.290465752926272% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 536.2890112221161 x2[1] (numeric) 571.7486379494018 absolute error 35.459626727285695 relative error 6.6120367908488245% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.4100000000008635 x1[1] (closed_form) 2.00000108930725 x1[1] (numeric) 1.8527182342721376 absolute error 0.14728285503511263 relative error 7.364138740850771% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 547.1025665448744 x2[1] (numeric) 583.2807495598805 absolute error 36.178183015006084 relative error 6.612687497242563% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.420000000000867 x1[1] (closed_form) 2.000001078468462 x1[1] (numeric) 1.851229954934707 absolute error 0.148771123533755 relative error 7.438552165565793% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 558.1345701756611 x2[1] (numeric) 595.0458477144132 absolute error 36.911277538752074 relative error 6.613329385265461% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.43000000000087 x1[1] (closed_form) 2.0000010677375215 x1[1] (numeric) 1.8497267181412644 absolute error 0.15027434959625707 relative error 7.513713468475955% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 569.3894350630245 x2[1] (numeric) 607.0486392788849 absolute error 37.65920421586043 relative error 6.6139625881347825% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.4400000000008735 x1[1] (closed_form) 2.0000010571133555 x1[1] (numeric) 1.8482083735668693 absolute error 0.15179268354648623 relative error 7.589630165774605% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 580.8716633029865 x2[1] (numeric) 619.2939262064461 absolute error 38.42226290345968 relative error 6.614587236874452% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.450000000000877 x1[1] (closed_form) 2.000001046594902 x1[1] (numeric) 1.8466747693758074 absolute error 0.15332627721909442 relative error 7.666309849194319% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 592.5858479399421 x2[1] (numeric) 631.7866074584235 absolute error 39.20075951848139 relative error 6.615203460352354% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.46000000000088 x1[1] (closed_form) 2.0000010361811085 x1[1] (numeric) 1.845125752206378 absolute error 0.1548752839747305 relative error 7.743760186767518% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 604.5366748039382 x2[1] (numeric) 644.5316809640402 absolute error 39.99500616010198 relative error 6.61581138531803% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.4700000000008835 x1[1] (closed_form) 2.0000010258709344 x1[1] (numeric) 1.8435611671555772 absolute error 0.15643985871535726 relative error 7.82198892359232% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 616.7289243850672 x2[1] (numeric) 657.5342456197217 absolute error 40.80532123465446 relative error 6.6164111364390665% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.480000000000887 x1[1] (closed_form) 2.000001015663348 x1[1] (numeric) 1.8419808577635954 absolute error 0.15802015789975266 relative error 7.901003882607604% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 629.1674737457275 x2[1] (numeric) 670.7995033287925 absolute error 41.63202958306499 relative error 6.617002836337056% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.49000000000089 x1[1] (closed_form) 2.000001005557329 x1[1] (numeric) 1.8403846659981793 absolute error 0.15961633955914967 relative error 7.980812965374999% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 641.8572984715134 x2[1] (numeric) 684.3327610823778 absolute error 42.47546261086438 relative error 6.6175866056229795% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.5000000000008935 x1[1] (closed_form) 2.0000009955518663 x1[1] (numeric) 1.8387724322388275 absolute error 0.1612285633130388 relative error 8.06142415286901% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 654.8034746615158 x2[1] (numeric) 698.1394330823409 absolute error 43.335958420825136 relative error 6.618162562931813% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.510000000000897 x1[1] (closed_form) 2.0000009856459595 x1[1] (numeric) 1.8371439952608184 absolute error 0.16285699038514112 relative error 8.14284550627567% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 668.0111809588291 x2[1] (numeric) 712.2250429071088 absolute error 44.213861948279714 relative error 6.618730824956762% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.5200000000009 x1[1] (closed_form) 2.0000009758386184 x1[1] (numeric) 1.8354991922190969 absolute error 0.1645017836195215 relative error 8.225085167798202% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 681.4857006220778 x2[1] (numeric) 726.5952257212491 absolute error 45.109525099171265 relative error 6.619291506482693% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.5300000000009035 x1[1] (closed_form) 2.0000009661288622 x1[1] (numeric) 1.8338378586319766 absolute error 0.16616310749688568 relative error 8.308151361471873% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 695.2324236387904 x2[1] (numeric) 741.2557305296846 absolute error 46.02330689089422 relative error 6.619844720419101% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.540000000000907 x1[1] (closed_form) 2.000000956515719 x1[1] (numeric) 1.8321598283647138 absolute error 0.16784112815100527 relative error 8.392052393985248% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 709.256848881466 x2[1] (numeric) 756.212422477446 absolute error 46.95557359598001 relative error 6.620390577832463% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.55000000000091 x1[1] (closed_form) 2.0000009469982287 x1[1] (numeric) 1.830464933612885 absolute error 0.16953601338534363 relative error 8.476796655511473% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 723.5645863071973 x2[1] (numeric) 771.4712851958828 absolute error 47.90669888868558 relative error 6.620929187978013% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.5600000000009135 x1[1] (closed_form) 2.000000937575439 x1[1] (numeric) 1.8287530048856122 absolute error 0.17124793268982685 relative error 8.562392620546833% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 738.161359201727 x2[1] (numeric) 787.0384231962711 absolute error 48.87706399454407 relative error 6.6214606583310465% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.570000000000917 x1[1] (closed_form) 2.0000009282464073 x1[1] (numeric) 1.827023870988604 absolute error 0.17297705725780332 relative error 8.64884884875873% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 753.0530064688402 x2[1] (numeric) 802.9200643117756 absolute error 49.867057842935424 relative error 6.621985094617483% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.58000000000092 x1[1] (closed_form) 2.0000009190102013 x1[1] (numeric) 1.825277359007028 absolute error 0.17472356000317335 relative error 8.73617398584216% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 768.2454849660015 x2[1] (numeric) 819.1225621887431 absolute error 50.877077222741605 relative error 6.622502600844202% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.590000000000924 x1[1] (closed_form) 2.0000009098658973 x1[1] (numeric) 1.8235132942882246 absolute error 0.17648761557767267 relative error 8.824376764383892% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 783.74487188718 x2[1] (numeric) 835.6523988283237 absolute error 51.907526941143715 relative error 6.623013279328455% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.600000000000927 x1[1] (closed_form) 2.00000090081258 x1[1] (numeric) 1.8217315004242483 absolute error 0.17826940038833183 relative error 8.913466004735437% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 799.5573671938052 x2[1] (numeric) 852.5161871794362 absolute error 52.95881998563095 relative error 6.6235172307272645% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.61000000000093 x1[1] (closed_form) 2.000000891849345 x1[1] (numeric) 1.819931799234223 absolute error 0.18006909261512205 relative error 9.003450615895336% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 815.6892960948369 x2[1] (numeric) 869.7206737841153 absolute error 54.03137768927843 relative error 6.624014554065745% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.620000000000934 x1[1] (closed_form) 2.000000882975296 x1[1] (numeric) 1.8181140107465363 absolute error 0.18188687222875966 relative error 9.094339596399385% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 832.1471115769308 x2[1] (numeric) 887.2727414762984 absolute error 55.125629899367595 relative error 6.624505346765397% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.630000000000937 x1[1] (closed_form) 2.000000874189545 x1[1] (numeric) 1.8162779531808204 absolute error 0.18372292100872478 relative error 9.186142035221575% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 848.9373969857207 x2[1] (numeric) 905.1794121351318 absolute error 56.24201514941103 relative error 6.624989704671595% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.64000000000094 x1[1] (closed_form) 2.000000865491214 x1[1] (numeric) 1.8144234429298016 absolute error 0.1855774225614122 relative error 9.27886711268163% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 866.0668686592445 x2[1] (numeric) 923.4478494938985 absolute error 57.380980834654 relative error 6.625467722080781% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.650000000000944 x1[1] (closed_form) 2.0000008568794323 x1[1] (numeric) 1.8125502945409095 absolute error 0.18745056233852275 relative error 9.372524101364572% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 883.5423786145673 x2[1] (numeric) 942.0853620056884 absolute error 58.54298339112108 relative error 6.6259394917671095% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.660000000000947 x1[1] (closed_form) 2.0000008483533396 x1[1] (numeric) 1.8106583206977305 absolute error 0.1893425276556091 relative error 9.467122367048017% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 901.3709172886819 x2[1] (numeric) 961.0994057669617 absolute error 59.728488478279814 relative error 6.6264051050085735% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.67000000000095 x1[1] (closed_form) 2.0000008399120826 x1[1] (numeric) 1.8087473322013157 absolute error 0.19125350771076688 relative error 9.562671369636732% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 919.5596163347756 x2[1] (numeric) 980.4975875001707 absolute error 60.93797116539508 relative error 6.626864651612752% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.680000000000954 x1[1] (closed_form) 2.000000831554818 x1[1] (numeric) 1.8068171379512217 absolute error 0.19318369360359622 relative error 9.659180664110702% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 938.1157514749862 x2[1] (numeric) 1000.2876675966351 absolute error 62.171916121648906 relative error 6.6273182199421425% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.690000000000957 x1[1] (closed_form) 2.000000823280709 x1[1] (numeric) 1.8048675449264147 absolute error 0.19513327835429428 relative error 9.756659901479773% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 957.0467454107888 x2[1] (numeric) 1020.4775632208883 absolute error 63.430817810099484 relative error 6.627765896938855% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.70000000000096 x1[1] (closed_form) 2.0000008150889292 x1[1] (numeric) 1.802898358165969 absolute error 0.19710245692296025 relative error 9.855118829748886% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 976.3601707921748 x2[1] (numeric) 1041.0753514777357 absolute error 64.71518068556088 relative error 6.628207768149114% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.710000000000964 x1[1] (closed_form) 2.000000806978659 x1[1] (numeric) 1.8009093807495735 absolute error 0.1990914262290855 relative error 9.954567294892591% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 996.0637532468128 x2[1] (numeric) 1062.089272643292 absolute error 66.02551939647913 relative error 6.628643917747179% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.720000000000967 x1[1] (closed_form) 2.000000798949087 x1[1] (numeric) 1.7989004137778224 absolute error 0.2011003851712645 relative error 10.055015241840602% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 1016.165374470403 x2[1] (numeric) 1083.5277334612895 absolute error 67.36235899088649 relative error 6.629074428558823% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.73000000000097 x1[1] (closed_form) 2.000000790999411 x1[1] (numeric) 1.7968712563523404 absolute error 0.2031295346470705 relative error 10.156472715471558% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 1036.6730753794604 x2[1] (numeric) 1105.3993105059785 absolute error 68.72623512651808 relative error 6.629499382084535% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.740000000000974 x1[1] (closed_form) 2.000000783128835 x1[1] (numeric) 1.794821705555699 absolute error 0.20517907757313614 relative error 10.25894986161708% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 1057.595059327789 x2[1] (numeric) 1127.7127536129606 absolute error 70.11769428517164 relative error 6.629918858522153% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.750000000000977 x1[1] (closed_form) 2.000000775336573 x1[1] (numeric) 1.7927515564311003 absolute error 0.20724921890547288 relative error 10.362456928077721% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 1078.9396953879316 x2[1] (numeric) 1150.4769893793314 absolute error 71.53729399139979 relative error 6.630332936789266% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.76000000000098 x1[1] (closed_form) 2.000000767621845 x1[1] (numeric) 1.7906606019619056 absolute error 0.20934016565993963 relative error 10.467004265646416% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 1100.7155216989117 x2[1] (numeric) 1173.7011247345306 absolute error 72.98560303561885 relative error 6.630741694545055% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.770000000000984 x1[1] (closed_form) 2.0000007599838803 x1[1] (numeric) 1.7885486330509366 absolute error 0.21145212693294368 relative error 10.572602329143512% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 1122.9312488816026 x2[1] (numeric) 1197.394450583328 absolute error 74.46320170172544 relative error 6.631145208211811% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.780000000000987 x1[1] (closed_form) 2.000000752421914 x1[1] (numeric) 1.786415438499529 absolute error 0.2135853139223851 relative error 10.679261678463998% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 1145.5957635230914 x2[1] (numeric) 1221.5664455224044 absolute error 75.970681999313 relative error 6.6315435529961855% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.79000000000099 x1[1] (closed_form) 2.0000007449351913 x1[1] (numeric) 1.7842608049864508 absolute error 0.21573993994874052 relative error 10.786992979631686% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 1168.718131731432 x2[1] (numeric) 1246.22677963201 absolute error 77.5086479005779 relative error 6.631936802909904% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.800000000000994 x1[1] (closed_form) 2.0000007375229623 x1[1] (numeric) 1.7820845170465738 absolute error 0.21791622047638848 relative error 10.895807005865494% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 1192.3076027622112 x2[1] (numeric) 1271.3853183442236 absolute error 79.07771558201239 relative error 6.632325030790172% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.810000000000997 x1[1] (closed_form) 2.000000730184486 x1[1] (numeric) 1.7798863570492756 absolute error 0.22011437313521065 relative error 11.005714638659487% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 1216.373612718372 x2[1] (numeric) 1297.0521263893515 absolute error 80.67851367097956 relative error 6.632708308319668% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.820000000001 x1[1] (closed_form) 2.000000722919029 x1[1] (numeric) 1.7776661051767118 absolute error 0.22233461774231733 relative error 11.116726868869168% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 1240.9257883247813 x2[1] (numeric) 1323.2374718220544 absolute error 82.31168349727318 relative error 6.633086706046451% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.830000000001004 x1[1] (closed_form) 2.0000007157258644 x1[1] (numeric) 1.7754235394018614 absolute error 0.22457717632400298 relative error 11.228854797809246% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 1265.9739507790491 x2[1] (numeric) 1349.951830128802 absolute error 83.97787934975281 relative error 6.6334602934029485% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.840000000001007 x1[1] (closed_form) 2.000000708604273 x1[1] (numeric) 1.7731584354662693 absolute error 0.22684227313800376 relative error 11.34210963836651% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 1291.5281196801373 x2[1] (numeric) 1377.2058884183107 absolute error 85.67776873817343 relative error 6.6338291387254165% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.85000000000101 x1[1] (closed_form) 2.000000701553543 x1[1] (numeric) 1.7708705668576734 absolute error 0.2291301346958694 relative error 11.456502716118436% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 1317.5985170363333 x2[1] (numeric) 1405.0105496966275 absolute error 87.41203266029424 relative error 6.634193309272208% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.860000000001014 x1[1] (closed_form) 2.0000006945729685 x1[1] (numeric) 1.7685597047873014 absolute error 0.23144098978566707 relative error 11.572045470468368% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 1344.1955713541904 x2[1] (numeric) 1433.376937228581 absolute error 89.18136587439062 relative error 6.634552871242251% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.870000000001017 x1[1] (closed_form) 2.000000687661852 x1[1] (numeric) 1.766225618167016 absolute error 0.23377506949483595 relative error 11.688749455788248% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 1371.3299218100674 x2[1] (numeric) 1462.3163989873392 absolute error 90.98647717727181 relative error 6.6349078897932525% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.88000000000102 x1[1] (closed_form) 2.000000680819502 x1[1] (numeric) 1.763868073586203 absolute error 0.2361326072332992 relative error 11.806626342574226% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 1399.0124225059442 x2[1] (numeric) 1491.8405121938529 absolute error 92.82808968790869 relative error 6.635258429059037% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.890000000001024 x1[1] (closed_form) 2.000000674045235 x1[1] (numeric) 1.7614868352884334 absolute error 0.23851383875680177 relative error 11.92568791861353% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 1427.2541468112036 x2[1] (numeric) 1521.9610879480033 absolute error 94.70694113679974 relative error 6.635604552167227% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.900000000001027 x1[1] (closed_form) 2.000000667338373 x1[1] (numeric) 1.7590816651478876 absolute error 0.24091900219048545 relative error 12.04594609016324% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 1456.0663917921297 x2[1] (numeric) 1552.6901759533077 absolute error 96.62378416117804 relative error 6.635946321256221% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.91000000000103 x1[1] (closed_form) 2.000000660698245 x1[1] (numeric) 1.756652322645558 absolute error 0.24334833805268707 relative error 12.167412883140184% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 1485.4606827308835 x2[1] (numeric) 1584.0400693370666 absolute error 98.5793866061831 relative error 6.636283797491963% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.920000000001034 x1[1] (closed_form) 2.0000006541241877 x1[1] (numeric) 1.7541985648451544 absolute error 0.24580208927903335 relative error 12.290100444325683% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 1515.4487777357701 x2[1] (numeric) 1616.023309567887 absolute error 100.57453183211692 relative error 6.636617041084369% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.930000000001037 x1[1] (closed_form) 2.0000006476155434 x1[1] (numeric) 1.7517201463688665 absolute error 0.2482805012466769 relative error 12.414021042577353% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 1546.0426724446384 x2[1] (numeric) 1648.652691472548 absolute error 102.61001902790963 relative error 6.636946111303661% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.9400000000010404 x1[1] (closed_form) 2.000000641171661 x1[1] (numeric) 1.749216819372813 absolute error 0.25078382179884806 relative error 12.539187070056702% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 1577.2546048232962 x2[1] (numeric) 1681.9412683542096 absolute error 104.68666353091339 relative error 6.637271066496059% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.950000000001044 x1[1] (closed_form) 2.0000006347918964 x1[1] (numeric) 1.7466883335221843 absolute error 0.25331230126971205 relative error 12.665611043471975% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 1609.0970600608596 x2[1] (numeric) 1715.9023572140222 absolute error 106.80529715316266 relative error 6.637591964099608% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.960000000001047 x1[1] (closed_form) 2.0000006284756116 x1[1] (numeric) 1.744134435966291 absolute error 0.25586619250932063 relative error 12.79330560532575% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 1641.5827755639966 x2[1] (numeric) 1750.5495440782167 absolute error 108.96676851422012 relative error 6.637908860659343% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.9700000000010505 x1[1] (closed_form) 2.0000006222221747 x1[1] (numeric) 1.7415548713132543 absolute error 0.2584457509089204 relative error 12.922283525180342% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 1674.7247460520566 x2[1] (numeric) 1785.896689432809 absolute error 111.17194338075228 relative error 6.638221811842544% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.980000000001054 x1[1] (closed_form) 2.0000006160309605 x1[1] (numeric) 1.738949381604448 absolute error 0.26105123442651257 relative error 13.052557700935798% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 1708.536228755134 x2[1] (numeric) 1821.9579337680946 absolute error 113.4217050129605 relative error 6.638530872453393% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 7.990000000001057 x1[1] (closed_form) 2.00000060990135 x1[1] (numeric) 1.7363177062887332 absolute error 0.2636829036126167 relative error 13.18414116011809% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 x2[1] (closed_form) 1743.0307487171367 x2[1] (numeric) 1858.7477032351503 absolute error 115.71695451801361 relative error 6.63883609644757% Desired digits 12 Estimated correct digits 11 Correct digits 1 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO 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 ( x1 , t , 1 ) = 4.0 * x2 - 2.0 * diff ( x2 , t , 1 ) - 2.0 * x1 ; diff ( x2 , t , 2 ) = 3.0 * diff ( x2 , t , 1 ) - 2.0 * x2 - diff ( x1 , t , 2 ) - diff ( x1 , t , 1 ) + x1 ; Iterations 6500 Total Elapsed Time 3 Seconds Elapsed Time(since restart) 3 Seconds Time to Timeout 2 Minutes 57.0 Seconds Percent Done 100.01538461540092%