##############ECHO OF PROBLEM################# ##############R:Temp/mult_div_sinh_cosh_tanhpostode.ode################# diff ( y , x , 1 ) = sinh ( 0.1 ) * cosh ( 0.05 ) / tanh ( 0.02 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(0.1) x_end=c(5.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $glob_type_given_pole=3 # ELIMINATED in preodein.rb #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=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_y (x) x = c(x) return((sinh(c(0.1)) * cosh(c(0.05)) / tanh(c(0.02))) * c(x)) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.1 y[1] (closed_form) 0.5015267822632982 y[1] (numeric) 0.5015267822632982 absolute error 0.0 relative error 0.0% Desired digits 12 Estimated correct digits 14 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.11000000000000001 y[1] (closed_form) 0.5516794604896281 y[1] (numeric) 0.5516794604896277 absolute error 4.440892098500626e-16 relative error 8.049768781602332e-14% Desired digits 12 Estimated correct digits 13 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.12000000000000002 y[1] (closed_form) 0.601832138715958 y[1] (numeric) 0.6018321387159572 absolute error 7.771561172376096e-16 relative error 1.2913170753820408e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.13000000000000003 y[1] (closed_form) 0.6519848169422878 y[1] (numeric) 0.6519848169422867 absolute error 1.1102230246251565e-15 relative error 1.7028357038004934e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.14000000000000004 y[1] (closed_form) 0.7021374951686177 y[1] (numeric) 0.7021374951686162 absolute error 1.4432899320127035e-15 relative error 2.0555659567305956e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.15000000000000005 y[1] (closed_form) 0.7522901733949475 y[1] (numeric) 0.7522901733949457 absolute error 1.7763568394002505e-15 relative error 2.3612655092700174e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.16000000000000006 y[1] (closed_form) 0.8024428516212774 y[1] (numeric) 0.8024428516212753 absolute error 2.1094237467877974e-15 relative error 2.6287526177420114e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.17000000000000007 y[1] (closed_form) 0.8525955298476072 y[1] (numeric) 0.8525955298476048 absolute error 2.4424906541753444e-15 relative error 2.864770654629065e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.18000000000000008 y[1] (closed_form) 0.9027482080739371 y[1] (numeric) 0.9027482080739343 absolute error 2.7755575615628914e-15 relative error 3.0745644651953347e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.19000000000000009 y[1] (closed_form) 0.952900886300267 y[1] (numeric) 0.9529008863002638 absolute error 3.219646771412954e-15 relative error 3.378784528067294e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2000000000000001 y[1] (closed_form) 1.0030535645265968 y[1] (numeric) 1.0030535645265934 absolute error 3.3306690738754696e-15 relative error 3.320529622410962e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2100000000000001 y[1] (closed_form) 1.0532062427529267 y[1] (numeric) 1.053206242752923 absolute error 3.774758283725532e-15 relative error 3.5840637194277046e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2200000000000001 y[1] (closed_form) 1.1033589209792565 y[1] (numeric) 1.1033589209792525 absolute error 3.9968028886505635e-15 relative error 3.6223959517210487e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.23000000000000012 y[1] (closed_form) 1.1535115992055864 y[1] (numeric) 1.153511599205582 absolute error 4.440892098500626e-15 relative error 3.8498894172880715e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.24000000000000013 y[1] (closed_form) 1.2036642774319164 y[1] (numeric) 1.2036642774319115 absolute error 4.884981308350689e-15 relative error 4.0584250940578415e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2500000000000001 y[1] (closed_form) 1.2538169556582461 y[1] (numeric) 1.253816955658241 absolute error 5.10702591327572e-15 relative error 4.073183003490779e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2600000000000001 y[1] (closed_form) 1.3039696338845759 y[1] (numeric) 1.3039696338845705 absolute error 5.329070518200751e-15 relative error 4.0868056891211837e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.27000000000000013 y[1] (closed_form) 1.3541223121109058 y[1] (numeric) 1.3541223121109 absolute error 5.773159728050814e-15 relative error 4.2633960584041974e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.28000000000000014 y[1] (closed_form) 1.4042749903372356 y[1] (numeric) 1.4042749903372296 absolute error 5.995204332975845e-15 relative error 4.269252371671237e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.29000000000000015 y[1] (closed_form) 1.4544276685635655 y[1] (numeric) 1.454427668563559 absolute error 6.439293542825908e-15 relative error 4.4273728298812814e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.30000000000000016 y[1] (closed_form) 1.5045803467898953 y[1] (numeric) 1.5045803467898886 absolute error 6.661338147750939e-15 relative error 4.4273728298812824e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.31000000000000016 y[1] (closed_form) 1.5547330250162252 y[1] (numeric) 1.5547330250162181 absolute error 7.105427357601002e-15 relative error 4.570191308264549e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3200000000000002 y[1] (closed_form) 1.604885703242555 y[1] (numeric) 1.6048857032425476 absolute error 7.327471962526033e-15 relative error 4.565728230815072e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3300000000000002 y[1] (closed_form) 1.655038381468885 y[1] (numeric) 1.6550383814688772 absolute error 7.771561172376096e-15 relative error 4.695698455934692e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3400000000000002 y[1] (closed_form) 1.705191059695215 y[1] (numeric) 1.7051910596952067 absolute error 8.215650382226158e-15 relative error 4.818023373694336e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3500000000000002 y[1] (closed_form) 1.7553437379215446 y[1] (numeric) 1.7553437379215362 absolute error 8.43769498715119e-15 relative error 4.806861929585391e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3600000000000002 y[1] (closed_form) 1.8054964161478746 y[1] (numeric) 1.8054964161478657 absolute error 8.881784197001252e-15 relative error 4.919303144312535e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3700000000000002 y[1] (closed_form) 1.8556490943742043 y[1] (numeric) 1.8556490943741952 absolute error 9.103828801926284e-15 relative error 4.906007730408987e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3800000000000002 y[1] (closed_form) 1.9058017726005343 y[1] (numeric) 1.9058017726005247 absolute error 9.547918011776346e-15 relative error 5.009921886444607e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.39000000000000024 y[1] (closed_form) 1.955954450826864 y[1] (numeric) 1.9559544508268543 absolute error 9.769962616701378e-15 relative error 4.994984731148112e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.40000000000000024 y[1] (closed_form) 2.006107129053194 y[1] (numeric) 2.0061071290531842 absolute error 9.769962616701378e-15 relative error 4.87011011286941e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.41000000000000025 y[1] (closed_form) 2.056259807279524 y[1] (numeric) 2.056259807279516 absolute error 7.993605777301127e-15 relative error 3.8874493140421e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.42000000000000026 y[1] (closed_form) 2.106412485505854 y[1] (numeric) 2.1064124855058477 absolute error 6.217248937900877e-15 relative error 2.9515818865875204e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.43000000000000027 y[1] (closed_form) 2.1565651637321834 y[1] (numeric) 2.1565651637321794 absolute error 3.9968028886505635e-15 relative error 1.8533188590200712e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4400000000000003 y[1] (closed_form) 2.2067178419585134 y[1] (numeric) 2.206717841958511 absolute error 2.220446049250313e-15 relative error 1.0062210977002911e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4500000000000003 y[1] (closed_form) 2.2568705201848434 y[1] (numeric) 2.256870520184843 absolute error 4.440892098500626e-16 relative error 1.967721257725014e-14% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4600000000000003 y[1] (closed_form) 2.3070231984111733 y[1] (numeric) 2.3070231984111746 absolute error 1.3322676295501878e-15 relative error 5.774834125932105e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4700000000000003 y[1] (closed_form) 2.357175876637503 y[1] (numeric) 2.3571758766375064 absolute error 3.552713678800501e-15 relative error 1.507190750597883e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4800000000000003 y[1] (closed_form) 2.407328554863833 y[1] (numeric) 2.407328554863838 absolute error 5.329070518200751e-15 relative error 2.2136864149406407e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4900000000000003 y[1] (closed_form) 2.4574812330901628 y[1] (numeric) 2.45748123309017 absolute error 7.105427357601002e-15 relative error 2.8913455215551227e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5000000000000003 y[1] (closed_form) 2.5076339113164927 y[1] (numeric) 2.5076339113165016 absolute error 8.881784197001252e-15 relative error 3.541898263905025e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5100000000000003 y[1] (closed_form) 2.5577865895428227 y[1] (numeric) 2.5577865895428333 absolute error 1.0658141036401503e-14 relative error 4.1669391340059113e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5200000000000004 y[1] (closed_form) 2.607939267769152 y[1] (numeric) 2.607939267769165 absolute error 1.2878587085651816e-14 relative error 4.938223541021429e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5300000000000004 y[1] (closed_form) 2.658091945995482 y[1] (numeric) 2.658091945995497 absolute error 1.4654943925052066e-14 relative error 5.513332203248388e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5400000000000004 y[1] (closed_form) 2.708244624221812 y[1] (numeric) 2.7082446242218285 absolute error 1.6431300764452317e-14 relative error 6.067140544652126e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5500000000000004 y[1] (closed_form) 2.758397302448142 y[1] (numeric) 2.7583973024481603 absolute error 1.8207657603852567e-14 relative error 6.60081040091391e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5600000000000004 y[1] (closed_form) 2.8085499806744716 y[1] (numeric) 2.808549980674492 absolute error 2.042810365310288e-14 relative error 7.273541077662105e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5700000000000004 y[1] (closed_form) 2.8587026589008016 y[1] (numeric) 2.8587026589008238 absolute error 2.220446049250313e-14 relative error 7.767320754177687e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5800000000000004 y[1] (closed_form) 2.9088553371271315 y[1] (numeric) 2.9088553371271555 absolute error 2.398081733190338e-14 relative error 8.244073545296178e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5900000000000004 y[1] (closed_form) 2.9590080153534615 y[1] (numeric) 2.9590080153534872 absolute error 2.5757174171303632e-14 relative error 8.704665224851332e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6000000000000004 y[1] (closed_form) 3.0091606935797914 y[1] (numeric) 3.009160693579819 absolute error 2.7533531010703882e-14 relative error 9.149903848421313e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6100000000000004 y[1] (closed_form) 3.059313371806121 y[1] (numeric) 3.0593133718061507 absolute error 2.9753977059954195e-14 relative error 9.725704249247405e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6200000000000004 y[1] (closed_form) 3.109466050032451 y[1] (numeric) 3.1094660500324824 absolute error 3.1530333899354446e-14 relative error 1.0140111965211965e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6300000000000004 y[1] (closed_form) 3.159618728258781 y[1] (numeric) 3.159618728258814 absolute error 3.3306690738754696e-14 relative error 1.0541363880669716e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6400000000000005 y[1] (closed_form) 3.209771406485111 y[1] (numeric) 3.209771406485146 absolute error 3.5083047578154947e-14 relative error 1.0930076673769412e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6500000000000005 y[1] (closed_form) 3.2599240847114404 y[1] (numeric) 3.2599240847114777 absolute error 3.730349362740526e-14 relative error 1.1443055929539312e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6600000000000005 y[1] (closed_form) 3.3100767629377703 y[1] (numeric) 3.3100767629378094 absolute error 3.907985046680551e-14 relative error 1.1806327546350084e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6700000000000005 y[1] (closed_form) 3.3602294411641003 y[1] (numeric) 3.360229441164141 absolute error 4.085620730620576e-14 relative error 1.215875523430083e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6800000000000005 y[1] (closed_form) 3.4103821193904302 y[1] (numeric) 3.410382119390473 absolute error 4.263256414560601e-14 relative error 1.2500817402017735e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6900000000000005 y[1] (closed_form) 3.46053479761676 y[1] (numeric) 3.4605347976168046 absolute error 4.440892098500626e-14 relative error 1.2832964724293567e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7000000000000005 y[1] (closed_form) 3.5106874758430897 y[1] (numeric) 3.5106874758431363 absolute error 4.6629367034256575e-14 relative error 1.3282118489643843e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7100000000000005 y[1] (closed_form) 3.5608401540694197 y[1] (numeric) 3.560840154069468 absolute error 4.8405723873656825e-14 relative error 1.3593905308649567e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7200000000000005 y[1] (closed_form) 3.6109928322957496 y[1] (numeric) 3.6109928322958 absolute error 5.0182080713057076e-14 relative error 1.3897031382682909e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7300000000000005 y[1] (closed_form) 3.6611455105220796 y[1] (numeric) 3.6611455105221316 absolute error 5.1958437552457326e-14 relative error 1.4191852632770132e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7400000000000005 y[1] (closed_form) 3.711298188748409 y[1] (numeric) 3.7112981887484633 absolute error 5.417888360170764e-14 relative error 1.4598364466095035e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7500000000000006 y[1] (closed_form) 3.761450866974739 y[1] (numeric) 3.761450866974795 absolute error 5.595524044110789e-14 relative error 1.4875972708401104e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7600000000000006 y[1] (closed_form) 3.811603545201069 y[1] (numeric) 3.8116035452011268 absolute error 5.773159728050814e-14 relative error 1.5146275470646488e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7700000000000006 y[1] (closed_form) 3.861756223427399 y[1] (numeric) 3.8617562234274585 absolute error 5.950795411990839e-14 relative error 1.5409557381924456e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7800000000000006 y[1] (closed_form) 3.911908901653729 y[1] (numeric) 3.9119089016537902 absolute error 6.128431095930864e-14 relative error 1.5666088474964531e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7900000000000006 y[1] (closed_form) 3.9620615798800585 y[1] (numeric) 3.962061579880122 absolute error 6.350475700855895e-14 relative error 1.6028210498051219e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8000000000000006 y[1] (closed_form) 4.012214258106389 y[1] (numeric) 4.012214258106453 absolute error 6.394884621840902e-14 relative error 1.593854218757261e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8100000000000006 y[1] (closed_form) 4.062366936332718 y[1] (numeric) 4.06236693633278 absolute error 6.217248937900877e-14 relative error 1.530449867119455e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8200000000000006 y[1] (closed_form) 4.112519614559048 y[1] (numeric) 4.112519614559107 absolute error 5.950795411990839e-14 relative error 1.4469950224490042e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8300000000000006 y[1] (closed_form) 4.162672292785378 y[1] (numeric) 4.162672292785435 absolute error 5.684341886080802e-14 relative error 1.3655511378910939e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8400000000000006 y[1] (closed_form) 4.212824971011708 y[1] (numeric) 4.212824971011762 absolute error 5.417888360170764e-14 relative error 1.2860463934417055e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8500000000000006 y[1] (closed_form) 4.262977649238038 y[1] (numeric) 4.262977649238089 absolute error 5.1514348342607263e-14 relative error 1.2084123488617143e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8600000000000007 y[1] (closed_form) 4.313130327464368 y[1] (numeric) 4.313130327464417 absolute error 4.884981308350689e-14 relative error 1.1325837471789322e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8700000000000007 y[1] (closed_form) 4.363283005690698 y[1] (numeric) 4.363283005690744 absolute error 4.618527782440651e-14 relative error 1.0584983317417314e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8800000000000007 y[1] (closed_form) 4.413435683917028 y[1] (numeric) 4.413435683917071 absolute error 4.3520742565306136e-14 relative error 9.860966757462852e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8900000000000007 y[1] (closed_form) 4.463588362143358 y[1] (numeric) 4.4635883621433985 absolute error 4.085620730620576e-14 relative error 9.153220232563545e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9000000000000007 y[1] (closed_form) 4.513741040369687 y[1] (numeric) 4.513741040369726 absolute error 3.907985046680551e-14 relative error 8.657973533990062e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9100000000000007 y[1] (closed_form) 4.563893718596017 y[1] (numeric) 4.563893718596053 absolute error 3.6415315207705135e-14 relative error 7.979001583522309e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9200000000000007 y[1] (closed_form) 4.614046396822347 y[1] (numeric) 4.61404639682238 absolute error 3.375077994860476e-14 relative error 7.314789892847333e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9300000000000007 y[1] (closed_form) 4.664199075048677 y[1] (numeric) 4.664199075048708 absolute error 3.108624468950438e-14 relative error 6.664862324552465e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9400000000000007 y[1] (closed_form) 4.7143517532750066 y[1] (numeric) 4.714351753275035 absolute error 2.842170943040401e-14 relative error 6.028763002391531e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9500000000000007 y[1] (closed_form) 4.7645044315013365 y[1] (numeric) 4.764504431501362 absolute error 2.5757174171303632e-14 relative error 5.406055244907668e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9600000000000007 y[1] (closed_form) 4.8146571097276665 y[1] (numeric) 4.81465710972769 absolute error 2.3092638912203256e-14 relative error 4.79632056570472e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9700000000000008 y[1] (closed_form) 4.864809787953996 y[1] (numeric) 4.864809787954017 absolute error 2.042810365310288e-14 relative error 4.199157735557503e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9800000000000008 y[1] (closed_form) 4.914962466180326 y[1] (numeric) 4.914962466180344 absolute error 1.7763568394002505e-14 relative error 3.614181901943902e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9900000000000008 y[1] (closed_form) 4.9651151444066555 y[1] (numeric) 4.9651151444066715 absolute error 1.5987211554602254e-14 relative error 3.2199075126409313e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0000000000000007 y[1] (closed_form) 5.015267822632985 y[1] (numeric) 5.015267822632999 absolute error 1.3322676295501878e-14 relative error 2.6564236979287686e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0099999999999996 y[1] (closed_form) 5.065420500859309 y[1] (numeric) 5.065420500859326 absolute error 1.687538997430238e-14 relative error 3.3314884660492845e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0199999999999985 y[1] (closed_form) 5.115573179085634 y[1] (numeric) 5.115573179085653 absolute error 1.9539925233402755e-14 relative error 3.819694206172094e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0299999999999974 y[1] (closed_form) 5.165725857311958 y[1] (numeric) 5.165725857311981 absolute error 2.220446049250313e-14 relative error 4.2984202231857234e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0399999999999963 y[1] (closed_form) 5.215878535538282 y[1] (numeric) 5.215878535538308 absolute error 2.5757174171303632e-14 relative error 4.93822354102145e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0499999999999952 y[1] (closed_form) 5.266031213764607 y[1] (numeric) 5.266031213764635 absolute error 2.842170943040401e-14 relative error 5.397178306902924e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.059999999999994 y[1] (closed_form) 5.3161838919909306 y[1] (numeric) 5.3161838919909625 absolute error 3.197442310920451e-14 relative error 6.014544221725553e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.069999999999993 y[1] (closed_form) 5.366336570217255 y[1] (numeric) 5.36633657021729 absolute error 3.4638958368304884e-14 relative error 6.454861322069952e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0799999999999919 y[1] (closed_form) 5.41648924844358 y[1] (numeric) 5.416489248443617 absolute error 3.730349362740526e-14 relative error 6.887024402037605e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0899999999999908 y[1] (closed_form) 5.466641926669904 y[1] (numeric) 5.466641926669944 absolute error 4.085620730620576e-14 relative error 7.473730281634525e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0999999999999897 y[1] (closed_form) 5.516794604896228 y[1] (numeric) 5.516794604896272 absolute error 4.3520742565306136e-14 relative error 7.888773405970363e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1099999999999886 y[1] (closed_form) 5.566947283122553 y[1] (numeric) 5.566947283122599 absolute error 4.618527782440651e-14 relative error 8.296338275813662e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1199999999999875 y[1] (closed_form) 5.617099961348877 y[1] (numeric) 5.617099961348926 absolute error 4.973799150320701e-14 relative error 8.854745659762667e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1299999999999863 y[1] (closed_form) 5.667252639575201 y[1] (numeric) 5.667252639575254 absolute error 5.240252676230739e-14 relative error 9.246548565061908e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1399999999999852 y[1] (closed_form) 5.717405317801525 y[1] (numeric) 5.717405317801581 absolute error 5.595524044110789e-14 relative error 9.786824150264019e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1499999999999841 y[1] (closed_form) 5.76755799602785 y[1] (numeric) 5.767557996027908 absolute error 5.861977570020827e-14 relative error 1.0163708061640654e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.159999999999983 y[1] (closed_form) 5.817710674254174 y[1] (numeric) 5.8177106742542355 absolute error 6.128431095930864e-14 relative error 1.0534093974545279e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.169999999999982 y[1] (closed_form) 5.867863352480498 y[1] (numeric) 5.867863352480563 absolute error 6.483702463810914e-14 relative error 1.1049511677994486e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1799999999999808 y[1] (closed_form) 5.918016030706823 y[1] (numeric) 5.91801603070689 absolute error 6.750155989720952e-14 relative error 1.1406113053253662e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1899999999999797 y[1] (closed_form) 5.968168708933147 y[1] (numeric) 5.968168708933217 absolute error 7.016609515630989e-14 relative error 1.1756721128088314e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1999999999999786 y[1] (closed_form) 6.018321387159471 y[1] (numeric) 6.018321387159545 absolute error 7.37188088351104e-14 relative error 1.2249064829338437e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2099999999999775 y[1] (closed_form) 6.068474065385796 y[1] (numeric) 6.068474065385872 absolute error 7.638334409421077e-14 relative error 1.2586911185778428e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2199999999999764 y[1] (closed_form) 6.118626743612119 y[1] (numeric) 6.118626743612199 absolute error 7.993605777301127e-14 relative error 1.3064378842272894e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2299999999999753 y[1] (closed_form) 6.168779421838444 y[1] (numeric) 6.168779421838527 absolute error 8.260059303211165e-14 relative error 1.3390103192811957e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2399999999999742 y[1] (closed_form) 6.218932100064769 y[1] (numeric) 6.218932100064854 absolute error 8.526512829121202e-14 relative error 1.3710573924793938e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2499999999999731 y[1] (closed_form) 6.269084778291092 y[1] (numeric) 6.269084778291181 absolute error 8.881784197001252e-14 relative error 1.4167593055620413e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.259999999999972 y[1] (closed_form) 6.319237456517417 y[1] (numeric) 6.3192374565175085 absolute error 9.14823772291129e-14 relative error 1.4476806396120075e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.269999999999971 y[1] (closed_form) 6.369390134743742 y[1] (numeric) 6.369390134743836 absolute error 9.414691248821327e-14 relative error 1.4781150235194547e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2799999999999698 y[1] (closed_form) 6.419542812970065 y[1] (numeric) 6.419542812970163 absolute error 9.769962616701378e-14 relative error 1.5219094102717273e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2899999999999687 y[1] (closed_form) 6.46969549119639 y[1] (numeric) 6.46969549119649 absolute error 1.0036416142611415e-13 relative error 1.551296526439061e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2999999999999676 y[1] (closed_form) 6.519848169422714 y[1] (numeric) 6.519848169422818 absolute error 1.0391687510491465e-13 relative error 1.593854218757302e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3099999999999665 y[1] (closed_form) 6.570000847649038 y[1] (numeric) 6.570000847649145 absolute error 1.0658141036401503e-13 relative error 1.6222434796511992e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3199999999999654 y[1] (closed_form) 6.620153525875363 y[1] (numeric) 6.620153525875472 absolute error 1.092459456231154e-13 relative error 1.6502026002285216e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3299999999999643 y[1] (closed_form) 6.670306204101687 y[1] (numeric) 6.6703062041017995 absolute error 1.127986593019159e-13 relative error 1.6910566899095886e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3399999999999632 y[1] (closed_form) 6.720458882328011 y[1] (numeric) 6.720458882328127 absolute error 1.1546319456101628e-13 relative error 1.7180849787599482e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3499999999999621 y[1] (closed_form) 6.770611560554335 y[1] (numeric) 6.770611560554454 absolute error 1.1901590823981678e-13 relative error 1.7578309902343961e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.359999999999961 y[1] (closed_form) 6.82076423878066 y[1] (numeric) 6.820764238780781 absolute error 1.2168044349891716e-13 relative error 1.7839708167463333e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.36999999999996 y[1] (closed_form) 6.870916917006984 y[1] (numeric) 6.870916917007109 absolute error 1.2434497875801753e-13 relative error 1.8097290399515265e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3799999999999588 y[1] (closed_form) 6.921069595233308 y[1] (numeric) 6.921069595233436 absolute error 1.2789769243681803e-13 relative error 1.8479469202983303e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3899999999999577 y[1] (closed_form) 6.971222273459633 y[1] (numeric) 6.971222273459763 absolute error 1.305622276959184e-13 relative error 1.8728742618491182e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3999999999999566 y[1] (closed_form) 7.021374951685957 y[1] (numeric) 7.021374951686091 absolute error 1.3322676295501878e-13 relative error 1.897445498520609e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4099999999999555 y[1] (closed_form) 7.071527629912281 y[1] (numeric) 7.071527629912418 absolute error 1.3677947663381929e-13 relative error 1.934228129934012e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4199999999999544 y[1] (closed_form) 7.121680308138606 y[1] (numeric) 7.121680308138745 absolute error 1.3944401189291966e-13 relative error 1.958021223356011e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4299999999999533 y[1] (closed_form) 7.1718329863649295 y[1] (numeric) 7.1718329863650725 absolute error 1.4299672557172016e-13 relative error 1.9938658059046433e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4399999999999522 y[1] (closed_form) 7.221985664591254 y[1] (numeric) 7.2219856645914 absolute error 1.4566126083082054e-13 relative error 2.0169142891682074e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.449999999999951 y[1] (closed_form) 7.272138342817579 y[1] (numeric) 7.272138342817727 absolute error 1.4832579608992091e-13 relative error 2.0396448623177912e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.45999999999995 y[1] (closed_form) 7.3222910210439025 y[1] (numeric) 7.322291021044054 absolute error 1.5187850976872141e-13 relative error 2.0741938463280155e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.469999999999949 y[1] (closed_form) 7.372443699270227 y[1] (numeric) 7.372443699270382 absolute error 1.545430450278218e-13 relative error 2.096225503127538e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4799999999999478 y[1] (closed_form) 7.422596377496552 y[1] (numeric) 7.422596377496709 absolute error 1.5720758028692217e-13 relative error 2.1179594348351755e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4899999999999467 y[1] (closed_form) 7.4727490557228755 y[1] (numeric) 7.472749055723036 absolute error 1.6076029396572267e-13 relative error 2.151287200559842e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4999999999999456 y[1] (closed_form) 7.5229017339492 y[1] (numeric) 7.522901733949364 absolute error 1.6342482922482304e-13 relative error 2.1723642685284954e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5099999999999445 y[1] (closed_form) 7.573054412175524 y[1] (numeric) 7.573054412175691 absolute error 1.6697754290362354e-13 relative error 2.204890309980694e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5199999999999434 y[1] (closed_form) 7.6232070904018485 y[1] (numeric) 7.623207090402018 absolute error 1.6964207816272392e-13 relative error 2.2253373960719915e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5299999999999423 y[1] (closed_form) 7.673359768628173 y[1] (numeric) 7.6733597686283455 absolute error 1.723066134218243e-13 relative error 2.2455171999921607e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5399999999999412 y[1] (closed_form) 7.723512446854497 y[1] (numeric) 7.723512446854673 absolute error 1.758593271006248e-13 relative error 2.276934598224747e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.54999999999994 y[1] (closed_form) 7.7736651250808215 y[1] (numeric) 7.773665125081 absolute error 1.7852386235972517e-13 relative error 2.296521132403026e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.559999999999939 y[1] (closed_form) 7.823817803307146 y[1] (numeric) 7.823817803307327 absolute error 1.8118839761882555e-13 relative error 2.315856557168762e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.569999999999938 y[1] (closed_form) 7.87397048153347 y[1] (numeric) 7.873970481533655 absolute error 1.8474111129762605e-13 relative error 2.3462256015677545e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5799999999999368 y[1] (closed_form) 7.9241231597597945 y[1] (numeric) 7.924123159759982 absolute error 1.8740564655672642e-13 relative error 2.3650016888733883e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5899999999999357 y[1] (closed_form) 7.974275837986118 y[1] (numeric) 7.974275837986309 absolute error 1.9095836023552692e-13 relative error 2.394679643835257e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5999999999999346 y[1] (closed_form) 8.024428516212444 y[1] (numeric) 8.024428516212641 absolute error 1.971756091734278e-13 relative error 2.457191920584213e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6099999999999335 y[1] (closed_form) 8.074581194438768 y[1] (numeric) 8.074581194438977 absolute error 2.0961010704922955e-13 relative error 2.595925435657208e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6199999999999324 y[1] (closed_form) 8.124733872665091 y[1] (numeric) 8.124733872665313 absolute error 2.220446049250313e-13 relative error 2.732946191284857e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6299999999999313 y[1] (closed_form) 8.174886550891415 y[1] (numeric) 8.17488655089165 absolute error 2.3447910280083306e-13 relative error 2.868285710647137e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6399999999999302 y[1] (closed_form) 8.22503922911774 y[1] (numeric) 8.225039229117986 absolute error 2.4513724383723456e-13 relative error 2.9803778074324054e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.649999999999929 y[1] (closed_form) 8.275191907344064 y[1] (numeric) 8.275191907344322 absolute error 2.575717417130363e-13 relative error 3.112577262219703e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.659999999999928 y[1] (closed_form) 8.325344585570388 y[1] (numeric) 8.325344585570658 absolute error 2.7000623958883807e-13 relative error 3.243183952491491e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6699999999999269 y[1] (closed_form) 8.375497263796714 y[1] (numeric) 8.375497263796994 absolute error 2.8066438062523957e-13 relative error 3.3510175191438248e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6799999999999258 y[1] (closed_form) 8.425649942023037 y[1] (numeric) 8.42564994202333 absolute error 2.9309887850104133e-13 relative error 3.4786500806211624e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6899999999999247 y[1] (closed_form) 8.475802620249361 y[1] (numeric) 8.475802620249667 absolute error 3.055333763768431e-13 relative error 3.6047721975839753e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6999999999999236 y[1] (closed_form) 8.525955298475687 y[1] (numeric) 8.525955298476003 absolute error 3.161915174132446e-13 relative error 3.708575829265431e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7099999999999225 y[1] (closed_form) 8.57610797670201 y[1] (numeric) 8.576107976702339 absolute error 3.2862601528904634e-13 relative error 3.831878238727835e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7199999999999214 y[1] (closed_form) 8.626260654928334 y[1] (numeric) 8.626260654928675 absolute error 3.410605131648481e-13 relative error 3.953746899243002e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7299999999999203 y[1] (closed_form) 8.67641333315466 y[1] (numeric) 8.676413333155011 absolute error 3.517186542012496e-13 relative error 4.053733273140045e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7399999999999192 y[1] (closed_form) 8.726566011380983 y[1] (numeric) 8.726566011381347 absolute error 3.6415315207705135e-13 relative error 4.1729261155204846e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.749999999999918 y[1] (closed_form) 8.776718689607307 y[1] (numeric) 8.776718689607684 absolute error 3.765876499528531e-13 relative error 4.290756753988005e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.759999999999917 y[1] (closed_form) 8.82687136783363 y[1] (numeric) 8.82687136783402 absolute error 3.8902214782865485e-13 relative error 4.407248407927486e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7699999999999159 y[1] (closed_form) 8.877024046059956 y[1] (numeric) 8.877024046060356 absolute error 3.9968028886505635e-13 relative error 4.502413047337113e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7799999999999148 y[1] (closed_form) 8.92717672428628 y[1] (numeric) 8.927176724286692 absolute error 4.121147867408581e-13 relative error 4.616406725988796e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7899999999999137 y[1] (closed_form) 8.977329402512604 y[1] (numeric) 8.977329402513028 absolute error 4.2454928461665986e-13 relative error 4.7291267322533095e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7999999999999126 y[1] (closed_form) 9.02748208073893 y[1] (numeric) 9.027482080739365 absolute error 4.3520742565306136e-13 relative error 4.820917081426522e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8099999999999115 y[1] (closed_form) 9.077634758965253 y[1] (numeric) 9.0776347589657 absolute error 4.476419235288631e-13 relative error 4.931261671293429e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8199999999999104 y[1] (closed_form) 9.127787437191577 y[1] (numeric) 9.127787437192037 absolute error 4.600764214046649e-13 relative error 5.04039368324971e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8299999999999093 y[1] (closed_form) 9.177940115417902 y[1] (numeric) 9.177940115418373 absolute error 4.707345624410664e-13 relative error 5.1289783602998834e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8399999999999082 y[1] (closed_form) 9.228092793644226 y[1] (numeric) 9.22809279364471 absolute error 4.831690603168681e-13 relative error 5.23584960751204e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.849999999999907 y[1] (closed_form) 9.27824547187055 y[1] (numeric) 9.278245471871045 absolute error 4.956035581926699e-13 relative error 5.341565489889472e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.859999999999906 y[1] (closed_form) 9.328398150096875 y[1] (numeric) 9.328398150097382 absolute error 5.062616992290714e-13 relative error 5.427102178564429e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8699999999999048 y[1] (closed_form) 9.378550828323199 y[1] (numeric) 9.378550828323718 absolute error 5.186961971048731e-13 relative error 5.530664668771768e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8799999999999037 y[1] (closed_form) 9.428703506549523 y[1] (numeric) 9.428703506550054 absolute error 5.311306949806749e-13 relative error 5.6331254303598796e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8899999999999026 y[1] (closed_form) 9.478856184775848 y[1] (numeric) 9.47885618477639 absolute error 5.417888360170764e-13 relative error 5.7157617486301e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8999999999999015 y[1] (closed_form) 9.529008863002172 y[1] (numeric) 9.529008863002726 absolute error 5.542233338928781e-13 relative error 5.8161697807285575e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9099999999999004 y[1] (closed_form) 9.579161541228496 y[1] (numeric) 9.579161541229062 absolute error 5.666578317686799e-13 relative error 5.915526419820747e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9199999999998993 y[1] (closed_form) 9.62931421945482 y[1] (numeric) 9.629314219455399 absolute error 5.790923296444817e-13 relative error 6.0138480939223934e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9299999999998982 y[1] (closed_form) 9.679466897681145 y[1] (numeric) 9.679466897681735 absolute error 5.897504706808832e-13 relative error 6.092799086096016e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9399999999998971 y[1] (closed_form) 9.729619575907469 y[1] (numeric) 9.729619575908071 absolute error 6.021849685566849e-13 relative error 6.189193358061175e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.949999999999896 y[1] (closed_form) 9.779772254133793 y[1] (numeric) 9.779772254134407 absolute error 6.146194664324867e-13 relative error 6.2845989708266916e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.959999999999895 y[1] (closed_form) 9.829924932360118 y[1] (numeric) 9.829924932360743 absolute error 6.252776074688882e-13 relative error 6.360960147421615e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9699999999998938 y[1] (closed_form) 9.880077610586442 y[1] (numeric) 9.88007761058708 absolute error 6.377121053446899e-13 relative error 6.454525262649611e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9799999999998927 y[1] (closed_form) 9.930230288812766 y[1] (numeric) 9.930230288813416 absolute error 6.501466032204917e-13 relative error 6.5471452757035875e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9899999999998916 y[1] (closed_form) 9.980382967039091 y[1] (numeric) 9.980382967039752 absolute error 6.608047442568932e-13 relative error 6.621035950616792e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9999999999998905 y[1] (closed_form) 10.030535645265415 y[1] (numeric) 10.030535645266088 absolute error 6.732392421326949e-13 relative error 6.711897210100394e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0099999999998897 y[1] (closed_form) 10.08068832349174 y[1] (numeric) 10.080688323492424 absolute error 6.838973831690964e-13 relative error 6.78423299305229e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0199999999998886 y[1] (closed_form) 10.130841001718064 y[1] (numeric) 10.13084100171876 absolute error 6.963318810448982e-13 relative error 6.87338672995469e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0299999999998875 y[1] (closed_form) 10.180993679944388 y[1] (numeric) 10.180993679945097 absolute error 7.087663789206999e-13 relative error 6.961662104917164e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0399999999998863 y[1] (closed_form) 10.231146358170713 y[1] (numeric) 10.231146358171433 absolute error 7.194245199571014e-13 relative error 7.0317097886353724e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0499999999998852 y[1] (closed_form) 10.281299036397037 y[1] (numeric) 10.281299036397769 absolute error 7.318590178329032e-13 relative error 7.1183516328241604e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.059999999999884 y[1] (closed_form) 10.33145171462336 y[1] (numeric) 10.331451714624105 absolute error 7.442935157087049e-13 relative error 7.20415229405966e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.069999999999883 y[1] (closed_form) 10.381604392849686 y[1] (numeric) 10.381604392850441 absolute error 7.549516567451064e-13 relative error 7.27201334376677e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.079999999999882 y[1] (closed_form) 10.43175707107601 y[1] (numeric) 10.431757071076778 absolute error 7.673861546209082e-13 relative error 7.356250240418552e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.089999999999881 y[1] (closed_form) 10.481909749302334 y[1] (numeric) 10.481909749303114 absolute error 7.7982065249671e-13 relative error 7.439681042365529e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0999999999998797 y[1] (closed_form) 10.53206242752866 y[1] (numeric) 10.53206242752945 absolute error 7.904787935331115e-13 relative error 7.505451083037272e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1099999999998786 y[1] (closed_form) 10.582215105754983 y[1] (numeric) 10.582215105755786 absolute error 8.029132914089132e-13 relative error 7.587383958697462e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1199999999998775 y[1] (closed_form) 10.632367783981307 y[1] (numeric) 10.632367783982122 absolute error 8.15347789284715e-13 relative error 7.66854388270048e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1299999999998764 y[1] (closed_form) 10.682520462207632 y[1] (numeric) 10.682520462208458 absolute error 8.260059303211165e-13 relative error 7.732313111342408e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1399999999998753 y[1] (closed_form) 10.732673140433956 y[1] (numeric) 10.732673140434795 absolute error 8.384404281969182e-13 relative error 7.81203729235173e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1499999999998742 y[1] (closed_form) 10.78282581866028 y[1] (numeric) 10.78282581866113 absolute error 8.5087492607272e-13 relative error 7.891019853072592e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.159999999999873 y[1] (closed_form) 10.832978496886605 y[1] (numeric) 10.832978496887467 absolute error 8.615330671091215e-13 relative error 7.95287341663907e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.169999999999872 y[1] (closed_form) 10.88313117511293 y[1] (numeric) 10.883131175113803 absolute error 8.739675649849232e-13 relative error 8.030479013093898e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.179999999999871 y[1] (closed_form) 10.933283853339253 y[1] (numeric) 10.93328385334014 absolute error 8.86402062860725e-13 relative error 8.107372631599602e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.18999999999987 y[1] (closed_form) 10.983436531565577 y[1] (numeric) 10.983436531566475 absolute error 8.988365607365267e-13 relative error 8.183564025278769e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1999999999998687 y[1] (closed_form) 11.033589209791902 y[1] (numeric) 11.033589209792812 absolute error 9.094947017729282e-13 relative error 8.242963232361282e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2099999999998676 y[1] (closed_form) 11.083741888018226 y[1] (numeric) 11.083741888019148 absolute error 9.2192919964873e-13 relative error 8.317851579035381e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2199999999998665 y[1] (closed_form) 11.13389456624455 y[1] (numeric) 11.133894566245484 absolute error 9.343636975245317e-13 relative error 8.392065255919624e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2299999999998654 y[1] (closed_form) 11.184047244470875 y[1] (numeric) 11.18404724447182 absolute error 9.450218385609332e-13 relative error 8.44973038743313e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2399999999998643 y[1] (closed_form) 11.234199922697199 y[1] (numeric) 11.234199922698156 absolute error 9.57456336436735e-13 relative error 8.522692697521988e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.249999999999863 y[1] (closed_form) 11.284352600923523 y[1] (numeric) 11.284352600924493 absolute error 9.698908343125368e-13 relative error 8.595006453743389e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.259999999999862 y[1] (closed_form) 11.334505279149848 y[1] (numeric) 11.334505279150829 absolute error 9.805489753489383e-13 relative error 8.651008149007496e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.269999999999861 y[1] (closed_form) 11.384657957376172 y[1] (numeric) 11.384657957377165 absolute error 9.9298347322474e-13 relative error 8.722119513317319e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.27999999999986 y[1] (closed_form) 11.434810635602496 y[1] (numeric) 11.434810635603501 absolute error 1.0054179711005418e-12 relative error 8.792607093729687e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.289999999999859 y[1] (closed_form) 11.484963313828821 y[1] (numeric) 11.484963313829837 absolute error 1.0160761121369433e-12 relative error 8.847012257440176e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2999999999998577 y[1] (closed_form) 11.535115992055145 y[1] (numeric) 11.535115992056173 absolute error 1.028510610012745e-12 relative error 8.916343890439729e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3099999999998566 y[1] (closed_form) 11.585268670281469 y[1] (numeric) 11.58526867028251 absolute error 1.0409451078885468e-12 relative error 8.985075249560497e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3199999999998555 y[1] (closed_form) 11.635421348507792 y[1] (numeric) 11.635421348508846 absolute error 1.0533796057643485e-12 relative error 9.053214096964707e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3299999999998544 y[1] (closed_form) 11.685574026734118 y[1] (numeric) 11.685574026735182 absolute error 1.06403774680075e-12 relative error 9.105566781455982e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3399999999998533 y[1] (closed_form) 11.735726704960442 y[1] (numeric) 11.735726704961518 absolute error 1.0764722446765518e-12 relative error 9.172608324472569e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.349999999999852 y[1] (closed_form) 11.785879383186765 y[1] (numeric) 11.785879383187854 absolute error 1.0889067425523535e-12 relative error 9.23907930116561e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.359999999999851 y[1] (closed_form) 11.836032061413091 y[1] (numeric) 11.83603206141419 absolute error 1.099564883588755e-12 relative error 9.28997892100572e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.36999999999985 y[1] (closed_form) 11.886184739639415 y[1] (numeric) 11.886184739640527 absolute error 1.1119993814645568e-12 relative error 9.355393726602057e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.379999999999849 y[1] (closed_form) 11.936337417865738 y[1] (numeric) 11.936337417866863 absolute error 1.1244338793403585e-12 relative error 9.420258827949684e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.389999999999848 y[1] (closed_form) 11.986490096092064 y[1] (numeric) 11.986490096093199 absolute error 1.13509202037676e-12 relative error 9.469761467093959e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3999999999998467 y[1] (closed_form) 12.036642774318388 y[1] (numeric) 12.036642774319535 absolute error 1.1475265182525618e-12 relative error 9.533609493678307e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4099999999998456 y[1] (closed_form) 12.086795452544711 y[1] (numeric) 12.086795452545871 absolute error 1.1599610161283636e-12 relative error 9.596927661120876e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4199999999998445 y[1] (closed_form) 12.136948130771037 y[1] (numeric) 12.136948130772208 absolute error 1.170619157164765e-12 relative error 9.645086594684144e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4299999999998434 y[1] (closed_form) 12.18710080899736 y[1] (numeric) 12.187100808998544 absolute error 1.1830536550405668e-12 relative error 9.707424871444033e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4399999999998423 y[1] (closed_form) 12.237253487223684 y[1] (numeric) 12.23725348722488 absolute error 1.1954881529163686e-12 relative error 9.769252178722285e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.449999999999841 y[1] (closed_form) 12.28740616545001 y[1] (numeric) 12.287406165451216 absolute error 1.20614629395277e-12 relative error 9.816118045680283e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.45999999999984 y[1] (closed_form) 12.337558843676334 y[1] (numeric) 12.337558843677552 absolute error 1.2185807918285718e-12 relative error 9.877000849752059e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.469999999999839 y[1] (closed_form) 12.387711521902657 y[1] (numeric) 12.387711521903888 absolute error 1.2310152897043736e-12 relative error 9.937390675653215e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.479999999999838 y[1] (closed_form) 12.437864200128981 y[1] (numeric) 12.437864200130225 absolute error 1.2434497875801753e-12 relative error 9.99729348682936e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.489999999999837 y[1] (closed_form) 12.488016878355307 y[1] (numeric) 12.48801687835656 absolute error 1.2541079286165768e-12 relative error 1.0042490659908084e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4999999999998357 y[1] (closed_form) 12.53816955658163 y[1] (numeric) 12.538169556582897 absolute error 1.2665424264923786e-12 relative error 1.0101493848657802e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5099999999998346 y[1] (closed_form) 12.588322234807954 y[1] (numeric) 12.588322234809233 absolute error 1.2789769243681803e-12 relative error 1.0160026892477241e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5199999999998335 y[1] (closed_form) 12.63847491303428 y[1] (numeric) 12.63847491303557 absolute error 1.2896350654045818e-12 relative error 1.0204040236488968e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5299999999998324 y[1] (closed_form) 12.688627591260603 y[1] (numeric) 12.688627591261906 absolute error 1.3020695632803836e-12 relative error 1.0261705246808526e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5399999999998313 y[1] (closed_form) 12.738780269486927 y[1] (numeric) 12.738780269488242 absolute error 1.3145040611561853e-12 relative error 1.0318916201928718e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.54999999999983 y[1] (closed_form) 12.788932947713253 y[1] (numeric) 12.788932947714578 absolute error 1.3251622021925868e-12 relative error 1.0361788646562063e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.559999999999829 y[1] (closed_form) 12.839085625939576 y[1] (numeric) 12.839085625940914 absolute error 1.3375967000683886e-12 relative error 1.0418161690315093e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.569999999999828 y[1] (closed_form) 12.8892383041659 y[1] (numeric) 12.88923830416725 absolute error 1.3500311979441904e-12 relative error 1.0474096033338526e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.579999999999827 y[1] (closed_form) 12.939390982392226 y[1] (numeric) 12.939390982393586 absolute error 1.3606893389805919e-12 relative error 1.0515868488959041e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5899999999998258 y[1] (closed_form) 12.98954366061855 y[1] (numeric) 12.989543660619923 absolute error 1.3731238368563936e-12 relative error 1.0570993660226913e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5999999999998247 y[1] (closed_form) 13.039696338844873 y[1] (numeric) 13.039696338846259 absolute error 1.3855583347321954e-12 relative error 1.0625694791715798e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6099999999998236 y[1] (closed_form) 13.089849017071199 y[1] (numeric) 13.089849017072595 absolute error 1.3962164757685969e-12 relative error 1.0666406266013561e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6199999999998225 y[1] (closed_form) 13.140001695297522 y[1] (numeric) 13.140001695298931 absolute error 1.4086509736443986e-12 relative error 1.0720325661362126e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6299999999998214 y[1] (closed_form) 13.190154373523846 y[1] (numeric) 13.190154373525267 absolute error 1.4210854715202004e-12 relative error 1.0773835023285986e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6399999999998203 y[1] (closed_form) 13.24030705175017 y[1] (numeric) 13.240307051751603 absolute error 1.4335199693960021e-12 relative error 1.0826939011255878e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.649999999999819 y[1] (closed_form) 13.290459729976495 y[1] (numeric) 13.29045972997794 absolute error 1.4441781104324036e-12 relative error 1.0866276560584843e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.659999999999818 y[1] (closed_form) 13.34061240820282 y[1] (numeric) 13.340612408204276 absolute error 1.4566126083082054e-12 relative error 1.0918633745873387e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.669999999999817 y[1] (closed_form) 13.390765086429143 y[1] (numeric) 13.390765086430612 absolute error 1.4690471061840071e-12 relative error 1.0970598742508085e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.679999999999816 y[1] (closed_form) 13.440917764655469 y[1] (numeric) 13.440917764656948 absolute error 1.4797052472204086e-12 relative error 1.1008959902362277e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6899999999998148 y[1] (closed_form) 13.491070442881792 y[1] (numeric) 13.491070442883284 absolute error 1.4921397450962104e-12 relative error 1.1060202757176311e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6999999999998137 y[1] (closed_form) 13.541223121108116 y[1] (numeric) 13.54122312110962 absolute error 1.5045742429720121e-12 relative error 1.1111066035288018e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7099999999998126 y[1] (closed_form) 13.591375799334442 y[1] (numeric) 13.591375799335957 absolute error 1.5152323840084136e-12 relative error 1.1148484203362351e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7199999999998115 y[1] (closed_form) 13.641528477560765 y[1] (numeric) 13.641528477562293 absolute error 1.5276668818842154e-12 relative error 1.1198648922641671e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7299999999998104 y[1] (closed_form) 13.691681155787089 y[1] (numeric) 13.691681155788629 absolute error 1.5401013797600172e-12 relative error 1.1248446134820045e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7399999999998093 y[1] (closed_form) 13.741833834013415 y[1] (numeric) 13.741833834014965 absolute error 1.5507595207964187e-12 relative error 1.128495322769819e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.749999999999808 y[1] (closed_form) 13.791986512239738 y[1] (numeric) 13.791986512241301 absolute error 1.5631940186722204e-12 relative error 1.1334074444496878e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.759999999999807 y[1] (closed_form) 13.842139190466062 y[1] (numeric) 13.842139190467638 absolute error 1.5756285165480222e-12 relative error 1.1382839710449199e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.769999999999806 y[1] (closed_form) 13.892291868692386 y[1] (numeric) 13.892291868693974 absolute error 1.588063014423824e-12 relative error 1.143125288061847e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.779999999999805 y[1] (closed_form) 13.942444546918711 y[1] (numeric) 13.94244454692031 absolute error 1.5987211554602254e-12 relative error 1.1466577113362403e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7899999999998037 y[1] (closed_form) 13.992597225145035 y[1] (numeric) 13.992597225146646 absolute error 1.6111556533360272e-12 relative error 1.1514343101656221e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7999999999998026 y[1] (closed_form) 14.042749903371359 y[1] (numeric) 14.042749903372982 absolute error 1.623590151211829e-12 relative error 1.1561767904319369e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8099999999998015 y[1] (closed_form) 14.092902581597684 y[1] (numeric) 14.092902581599319 absolute error 1.6342482922482304e-12 relative error 1.1596250543746815e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8199999999998004 y[1] (closed_form) 14.143055259824008 y[1] (numeric) 14.143055259825655 absolute error 1.6466827901240322e-12 relative error 1.1643048548369477e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8299999999997993 y[1] (closed_form) 14.193207938050332 y[1] (numeric) 14.19320793805199 absolute error 1.659117287999834e-12 relative error 1.1689515825044275e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8399999999997982 y[1] (closed_form) 14.243360616276657 y[1] (numeric) 14.243360616278327 absolute error 1.6697754290362354e-12 relative error 1.1723184394616063e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.849999999999797 y[1] (closed_form) 14.293513294502981 y[1] (numeric) 14.293513294504663 absolute error 1.6822099269120372e-12 relative error 1.1769044406730876e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.859999999999796 y[1] (closed_form) 14.343665972729305 y[1] (numeric) 14.343665972731 absolute error 1.694644424787839e-12 relative error 1.181458371946027e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.869999999999795 y[1] (closed_form) 14.39381865095563 y[1] (numeric) 14.393818650957336 absolute error 1.7053025658242404e-12 relative error 1.184746457612916e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.879999999999794 y[1] (closed_form) 14.443971329181954 y[1] (numeric) 14.443971329183672 absolute error 1.7177370637000422e-12 relative error 1.1892415351376413e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8899999999997927 y[1] (closed_form) 14.494124007408278 y[1] (numeric) 14.494124007410008 absolute error 1.730171561575844e-12 relative error 1.193705504859427e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8999999999997916 y[1] (closed_form) 14.544276685634603 y[1] (numeric) 14.544276685636344 absolute error 1.7408297026122455e-12 relative error 1.1969173443541986e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9099999999997905 y[1] (closed_form) 14.594429363860927 y[1] (numeric) 14.59442936386268 absolute error 1.7532642004880472e-12 relative error 1.2013242565204514e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9199999999997894 y[1] (closed_form) 14.64458204208725 y[1] (numeric) 14.644582042089016 absolute error 1.765698698363849e-12 relative error 1.2057009843567983e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9299999999997883 y[1] (closed_form) 14.694734720313575 y[1] (numeric) 14.694734720315353 absolute error 1.7781331962396507e-12 relative error 1.2100478369178118e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9399999999997872 y[1] (closed_form) 14.7448873985399 y[1] (numeric) 14.744887398541689 absolute error 1.7887913372760522e-12 relative error 1.213160391752592e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.949999999999786 y[1] (closed_form) 14.795040076766224 y[1] (numeric) 14.795040076768025 absolute error 1.801225835151854e-12 relative error 1.2174524879999857e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.959999999999785 y[1] (closed_form) 14.845192754992548 y[1] (numeric) 14.845192754994361 absolute error 1.8136603330276557e-12 relative error 1.2217155835970594e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.969999999999784 y[1] (closed_form) 14.895345433218873 y[1] (numeric) 14.895345433220697 absolute error 1.8243184740640572e-12 relative error 1.2247574131416591e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.979999999999783 y[1] (closed_form) 14.945498111445197 y[1] (numeric) 14.945498111447034 absolute error 1.836752971939859e-12 relative error 1.2289673841872703e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9899999999997817 y[1] (closed_form) 14.99565078967152 y[1] (numeric) 14.99565078967337 absolute error 1.8491874698156607e-12 relative error 1.2331491948914391e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9999999999997806 y[1] (closed_form) 15.045803467897846 y[1] (numeric) 15.045803467899706 absolute error 1.8598456108520622e-12 relative error 1.2361224941029449e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0099999999997795 y[1] (closed_form) 15.09595614612417 y[1] (numeric) 15.095956146126042 absolute error 1.872280108727864e-12 relative error 1.24025274756019e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0199999999997784 y[1] (closed_form) 15.146108824350494 y[1] (numeric) 15.146108824352378 absolute error 1.8847146066036657e-12 relative error 1.244355648345533e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0299999999997773 y[1] (closed_form) 15.196261502576819 y[1] (numeric) 15.196261502578714 absolute error 1.8953727476400672e-12 relative error 1.2472625239560863e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.039999999999776 y[1] (closed_form) 15.246414180803143 y[1] (numeric) 15.24641418080505 absolute error 1.907807245515869e-12 relative error 1.2513153734981181e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.049999999999775 y[1] (closed_form) 15.296566859029467 y[1] (numeric) 15.296566859031387 absolute error 1.9202417433916708e-12 relative error 1.2553416469775792e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.059999999999774 y[1] (closed_form) 15.34671953725579 y[1] (numeric) 15.346719537257723 absolute error 1.9326762412674725e-12 relative error 1.2593416049441029e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.069999999999773 y[1] (closed_form) 15.396872215482116 y[1] (numeric) 15.39687221548406 absolute error 1.943334382303874e-12 relative error 1.2621617917629923e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.079999999999772 y[1] (closed_form) 15.44702489370844 y[1] (numeric) 15.447024893710395 absolute error 1.9557688801796758e-12 relative error 1.2661136326492611e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0899999999997707 y[1] (closed_form) 15.497177571934763 y[1] (numeric) 15.497177571936732 absolute error 1.9682033780554775e-12 relative error 1.2700398952773664e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0999999999997696 y[1] (closed_form) 15.547330250161089 y[1] (numeric) 15.547330250163068 absolute error 1.978861519091879e-12 relative error 1.2727982793517721e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1099999999997685 y[1] (closed_form) 15.597482928387413 y[1] (numeric) 15.597482928389404 absolute error 1.9912960169676808e-12 relative error 1.276677798661682e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1199999999997674 y[1] (closed_form) 15.647635606613736 y[1] (numeric) 15.64763560661574 absolute error 2.0037305148434825e-12 relative error 1.280532449258067e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1299999999997663 y[1] (closed_form) 15.697788284840062 y[1] (numeric) 15.697788284842076 absolute error 2.014388655879884e-12 relative error 1.2832308726097766e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.139999999999765 y[1] (closed_form) 15.747940963066386 y[1] (numeric) 15.747940963068412 absolute error 2.0268231537556858e-12 relative error 1.2870401016292798e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.149999999999764 y[1] (closed_form) 15.79809364129271 y[1] (numeric) 15.798093641294749 absolute error 2.0392576516314875e-12 relative error 1.2908251450677066e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.159999999999763 y[1] (closed_form) 15.848246319519035 y[1] (numeric) 15.848246319521085 absolute error 2.049915792667889e-12 relative error 1.2934653786540216e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.169999999999762 y[1] (closed_form) 15.898398997745359 y[1] (numeric) 15.898398997747421 absolute error 2.0623502905436908e-12 relative error 1.2972062726795096e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.179999999999761 y[1] (closed_form) 15.948551675971682 y[1] (numeric) 15.948551675973757 absolute error 2.0747847884194925e-12 relative error 1.3009236390696172e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1899999999997597 y[1] (closed_form) 15.998704354198008 y[1] (numeric) 15.998704354200093 absolute error 2.085442929455894e-12 relative error 1.3035073861519796e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1999999999997586 y[1] (closed_form) 16.04885703242433 y[1] (numeric) 16.04885703242641 absolute error 2.0818902157770935e-12 relative error 1.2972202391553142e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2099999999997575 y[1] (closed_form) 16.099009710650655 y[1] (numeric) 16.09900971065273 absolute error 2.0747847884194925e-12 relative error 1.2887654742185e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2199999999997564 y[1] (closed_form) 16.14916238887698 y[1] (numeric) 16.14916238887905 absolute error 2.0676793610618915e-12 relative error 1.2803632233496159e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2299999999997553 y[1] (closed_form) 16.199315067103303 y[1] (numeric) 16.199315067105367 absolute error 2.064126647383091e-12 relative error 1.2742061246619051e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.239999999999754 y[1] (closed_form) 16.24946774532963 y[1] (numeric) 16.249467745331685 absolute error 2.05702122002549e-12 relative error 1.2659006758031891e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.249999999999753 y[1] (closed_form) 16.299620423555954 y[1] (numeric) 16.299620423558004 absolute error 2.049915792667889e-12 relative error 1.2576463373989883e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.259999999999752 y[1] (closed_form) 16.349773101782276 y[1] (numeric) 16.349773101784322 absolute error 2.0463630789890885e-12 relative error 1.2516155828278841e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.269999999999751 y[1] (closed_form) 16.3999257800086 y[1] (numeric) 16.39992578001064 absolute error 2.0392576516314875e-12 relative error 1.2434554149734803e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.27999999999975 y[1] (closed_form) 16.450078458234927 y[1] (numeric) 16.45007845823696 absolute error 2.0321522242738865e-12 relative error 1.2353450042401403e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2899999999997487 y[1] (closed_form) 16.50023113646125 y[1] (numeric) 16.500231136463277 absolute error 2.028599510595086e-12 relative error 1.229437026559225e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2999999999997476 y[1] (closed_form) 16.550383814687574 y[1] (numeric) 16.550383814689596 absolute error 2.021494083237485e-12 relative error 1.2214182497952209e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3099999999997465 y[1] (closed_form) 16.6005364929139 y[1] (numeric) 16.600536492915914 absolute error 2.014388655879884e-12 relative error 1.2134479248545642e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3199999999997454 y[1] (closed_form) 16.650689171140222 y[1] (numeric) 16.650689171142233 absolute error 2.0108359422010835e-12 relative error 1.2076592875725297e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3299999999997443 y[1] (closed_form) 16.700841849366547 y[1] (numeric) 16.70084184936855 absolute error 2.0037305148434825e-12 relative error 1.1997781506562094e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.339999999999743 y[1] (closed_form) 16.750994527592873 y[1] (numeric) 16.75099452759487 absolute error 1.9966250874858815e-12 relative error 1.1919442061765139e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.349999999999742 y[1] (closed_form) 16.801147205819195 y[1] (numeric) 16.801147205821188 absolute error 1.993072373807081e-12 relative error 1.1862715976423124e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.359999999999741 y[1] (closed_form) 16.85129988404552 y[1] (numeric) 16.851299884047506 absolute error 1.98596694644948e-12 relative error 1.1785244818589658e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.36999999999974 y[1] (closed_form) 16.901452562271846 y[1] (numeric) 16.901452562273825 absolute error 1.978861519091879e-12 relative error 1.1708233430238885e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3799999999997388 y[1] (closed_form) 16.951605240498168 y[1] (numeric) 16.951605240500143 absolute error 1.9753088054130785e-12 relative error 1.1652635708469511e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3899999999997377 y[1] (closed_form) 17.001757918724493 y[1] (numeric) 17.00175791872646 absolute error 1.9682033780554775e-12 relative error 1.1576469841908773e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3999999999997366 y[1] (closed_form) 17.05191059695082 y[1] (numeric) 17.05191059695278 absolute error 1.9610979506978765e-12 relative error 1.1500752009857214e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4099999999997355 y[1] (closed_form) 17.10206327517714 y[1] (numeric) 17.1020632751791 absolute error 1.957545237019076e-12 relative error 1.1446251867518016e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4199999999997344 y[1] (closed_form) 17.152215953403466 y[1] (numeric) 17.152215953405417 absolute error 1.950439809661475e-12 relative error 1.1371357584117023e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4299999999997333 y[1] (closed_form) 17.20236863162979 y[1] (numeric) 17.202368631631735 absolute error 1.9468870959826745e-12 relative error 1.1317552470088081e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.439999999999732 y[1] (closed_form) 17.252521309856114 y[1] (numeric) 17.252521309858054 absolute error 1.9397816686250735e-12 relative error 1.1243467744722647e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.449999999999731 y[1] (closed_form) 17.30267398808244 y[1] (numeric) 17.302673988084372 absolute error 1.9326762412674725e-12 relative error 1.1169812496026e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.45999999999973 y[1] (closed_form) 17.35282666630876 y[1] (numeric) 17.35282666631069 absolute error 1.929123527588672e-12 relative error 1.1117056400581387e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.469999999999729 y[1] (closed_form) 17.402979344535087 y[1] (numeric) 17.40297934453701 absolute error 1.922018100231071e-12 relative error 1.104418997563556e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4799999999997278 y[1] (closed_form) 17.453132022761412 y[1] (numeric) 17.453132022763327 absolute error 1.91491267287347e-12 relative error 1.097174232324689e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4899999999997267 y[1] (closed_form) 17.503284700987734 y[1] (numeric) 17.503284700989646 absolute error 1.9113599591946695e-12 relative error 1.0920007254905755e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4999999999997256 y[1] (closed_form) 17.55343737921406 y[1] (numeric) 17.553437379215964 absolute error 1.9042545318370685e-12 relative error 1.0848328396875677e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5099999999997245 y[1] (closed_form) 17.603590057440385 y[1] (numeric) 17.603590057442283 absolute error 1.8971491044794675e-12 relative error 1.0777057965387081e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5199999999997234 y[1] (closed_form) 17.653742735666707 y[1] (numeric) 17.6537427356686 absolute error 1.893596390800667e-12 relative error 1.0726316901485954e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5299999999997222 y[1] (closed_form) 17.703895413893033 y[1] (numeric) 17.70389541389492 absolute error 1.886490963443066e-12 relative error 1.0655795910106048e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.539999999999721 y[1] (closed_form) 17.75404809211936 y[1] (numeric) 17.754048092121238 absolute error 1.879385536085465e-12 relative error 1.0585673342406253e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.54999999999972 y[1] (closed_form) 17.80420077034568 y[1] (numeric) 17.804200770347556 absolute error 1.8758328224066645e-12 relative error 1.0535900187842264e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.559999999999719 y[1] (closed_form) 17.854353448572006 y[1] (numeric) 17.854353448573875 absolute error 1.8687273950490635e-12 relative error 1.0466508352888716e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.569999999999718 y[1] (closed_form) 17.90450612679833 y[1] (numeric) 17.904506126800193 absolute error 1.8616219676914625e-12 relative error 1.0397505267710816e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5799999999997167 y[1] (closed_form) 17.954658805024653 y[1] (numeric) 17.95465880502651 absolute error 1.858069254012662e-12 relative error 1.0348674815768021e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5899999999997156 y[1] (closed_form) 18.00481148325098 y[1] (numeric) 18.00481148325283 absolute error 1.850963826655061e-12 relative error 1.028038437601485e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5999999999997145 y[1] (closed_form) 18.054964161477304 y[1] (numeric) 18.05496416147915 absolute error 1.84385839929746e-12 relative error 1.0212473327593638e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6099999999997134 y[1] (closed_form) 18.105116839703626 y[1] (numeric) 18.105116839705467 absolute error 1.8403056856186595e-12 relative error 1.0164561222731023e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6199999999997123 y[1] (closed_form) 18.155269517929952 y[1] (numeric) 18.155269517931785 absolute error 1.8332002582610585e-12 relative error 1.0097345326934471e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6299999999997112 y[1] (closed_form) 18.205422196156277 y[1] (numeric) 18.205422196158104 absolute error 1.8260948309034575e-12 relative error 1.0030499766651948e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.63999999999971 y[1] (closed_form) 18.2555748743826 y[1] (numeric) 18.255574874384422 absolute error 1.822542117224657e-12 relative error 9.98348246913969e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.649999999999709 y[1] (closed_form) 18.305727552608925 y[1] (numeric) 18.30572755261074 absolute error 1.815436689867056e-12 relative error 9.917315138934866e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.659999999999708 y[1] (closed_form) 18.35588023083525 y[1] (numeric) 18.35588023083706 absolute error 1.808331262509455e-12 relative error 9.851509378840451e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.669999999999707 y[1] (closed_form) 18.406032909061572 y[1] (numeric) 18.406032909063377 absolute error 1.8047785488306545e-12 relative error 9.805364131138407e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6799999999997057 y[1] (closed_form) 18.456185587287898 y[1] (numeric) 18.456185587289696 absolute error 1.7976731214730535e-12 relative error 9.740220225739603e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6899999999997046 y[1] (closed_form) 18.506338265514223 y[1] (numeric) 18.506338265516014 absolute error 1.7905676941154525e-12 relative error 9.675429403838896e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6999999999997035 y[1] (closed_form) 18.556490943740545 y[1] (numeric) 18.556490943742332 absolute error 1.787014980436652e-12 relative error 9.630134198618224e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7099999999997024 y[1] (closed_form) 18.60664362196687 y[1] (numeric) 18.60664362196865 absolute error 1.779909553079051e-12 relative error 9.565989381221353e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7199999999997013 y[1] (closed_form) 18.656796300193193 y[1] (numeric) 18.65679630019497 absolute error 1.7763568394002505e-12 relative error 9.52123189221858e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7299999999997 y[1] (closed_form) 18.70694897841952 y[1] (numeric) 18.706948978421288 absolute error 1.7692514120426495e-12 relative error 9.457722978149305e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.739999999999699 y[1] (closed_form) 18.757101656645844 y[1] (numeric) 18.757101656647606 absolute error 1.7621459846850485e-12 relative error 9.394553683941362e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.749999999999698 y[1] (closed_form) 18.807254334872166 y[1] (numeric) 18.807254334873925 absolute error 1.758593271006248e-12 relative error 9.350611416710025e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.759999999999697 y[1] (closed_form) 18.85740701309849 y[1] (numeric) 18.857407013100243 absolute error 1.751487843648647e-12 relative error 9.288063000560209e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.769999999999696 y[1] (closed_form) 18.907559691324817 y[1] (numeric) 18.90755969132656 absolute error 1.744382416291046e-12 relative error 9.225846406246729e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7799999999996947 y[1] (closed_form) 18.95771236955114 y[1] (numeric) 18.95771236955288 absolute error 1.7408297026122455e-12 relative error 9.182699202717479e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7899999999996936 y[1] (closed_form) 19.007865047777464 y[1] (numeric) 19.007865047779198 absolute error 1.7337242752546445e-12 relative error 9.12108893290656e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7999999999996925 y[1] (closed_form) 19.05801772600379 y[1] (numeric) 19.058017726005517 absolute error 1.7266188478970435e-12 relative error 9.059802927673592e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8099999999996914 y[1] (closed_form) 19.108170404230112 y[1] (numeric) 19.108170404231835 absolute error 1.723066134218243e-12 relative error 9.017431275559461e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8199999999996903 y[1] (closed_form) 19.158323082456437 y[1] (numeric) 19.158323082458153 absolute error 1.715960706860642e-12 relative error 8.956737494587784e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.829999999999689 y[1] (closed_form) 19.208475760682763 y[1] (numeric) 19.208475760684472 absolute error 1.708855279503041e-12 relative error 8.896360652420137e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.839999999999688 y[1] (closed_form) 19.258628438909085 y[1] (numeric) 19.25862843891079 absolute error 1.7053025658242404e-12 relative error 8.854745659763289e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.849999999999687 y[1] (closed_form) 19.30878111713541 y[1] (numeric) 19.30878111713711 absolute error 1.6981971384666394e-12 relative error 8.794947377385666e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.859999999999686 y[1] (closed_form) 19.358933795361736 y[1] (numeric) 19.358933795363427 absolute error 1.6910917111090384e-12 relative error 8.735458930668032e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.869999999999685 y[1] (closed_form) 19.409086473588058 y[1] (numeric) 19.409086473589745 absolute error 1.687538997430238e-12 relative error 8.694582301576357e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8799999999996837 y[1] (closed_form) 19.459239151814383 y[1] (numeric) 19.459239151816064 absolute error 1.680433570072637e-12 relative error 8.635659169212446e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8899999999996826 y[1] (closed_form) 19.50939183004071 y[1] (numeric) 19.509391830042382 absolute error 1.673328142715036e-12 relative error 8.577038983544493e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8999999999996815 y[1] (closed_form) 19.55954450826703 y[1] (numeric) 19.5595445082687 absolute error 1.6697754290362354e-12 relative error 8.53688299505384e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9099999999996804 y[1] (closed_form) 19.609697186493356 y[1] (numeric) 19.60969718649502 absolute error 1.6626700016786344e-12 relative error 8.47881528136925e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9199999999996793 y[1] (closed_form) 19.659849864719682 y[1] (numeric) 19.659849864721338 absolute error 1.6555645743210334e-12 relative error 8.421043831529988e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.929999999999678 y[1] (closed_form) 19.710002542946004 y[1] (numeric) 19.710002542947656 absolute error 1.652011860642233e-12 relative error 8.381591311531667e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.939999999999677 y[1] (closed_form) 19.76015522117233 y[1] (numeric) 19.760155221173974 absolute error 1.644906433284632e-12 relative error 8.324359879127726e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.949999999999676 y[1] (closed_form) 19.810307899398655 y[1] (numeric) 19.810307899400293 absolute error 1.637801005927031e-12 relative error 8.267418226128361e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.959999999999675 y[1] (closed_form) 19.860460577624977 y[1] (numeric) 19.86046057762661 absolute error 1.6342482922482304e-12 relative error 8.228652532305285e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.969999999999674 y[1] (closed_form) 19.910613255851302 y[1] (numeric) 19.91061325585293 absolute error 1.6271428648906294e-12 relative error 8.172238815459123e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9799999999996727 y[1] (closed_form) 19.960765934077628 y[1] (numeric) 19.960765934079248 absolute error 1.6200374375330284e-12 relative error 8.116108584627261e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9899999999996716 y[1] (closed_form) 20.01091861230395 y[1] (numeric) 20.010918612305566 absolute error 1.616484723854228e-12 relative error 8.078013584345465e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9999999999996705 y[1] (closed_form) 20.061071290530275 y[1] (numeric) 20.061071290531885 absolute error 1.609379296496627e-12 relative error 8.022399567745547e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.009999999999674 y[1] (closed_form) 20.111223968756622 y[1] (numeric) 20.111223968758203 absolute error 1.580957587066223e-12 relative error 7.861070959789851e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.019999999999677 y[1] (closed_form) 20.16137664698297 y[1] (numeric) 20.16137664698452 absolute error 1.552535877635819e-12 relative error 7.700544981724484e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.0299999999996805 y[1] (closed_form) 20.211529325209316 y[1] (numeric) 20.21152932521084 absolute error 1.5241141682054149e-12 relative error 7.540815658637108e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.039999999999684 y[1] (closed_form) 20.261682003435663 y[1] (numeric) 20.26168200343716 absolute error 1.4956924587750109e-12 relative error 7.381877074772936e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.049999999999687 y[1] (closed_form) 20.311834681662006 y[1] (numeric) 20.311834681663477 absolute error 1.4708234630234074e-12 relative error 7.2412142284286156e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.0599999999996905 y[1] (closed_form) 20.361987359888353 y[1] (numeric) 20.361987359889795 absolute error 1.4424017535930034e-12 relative error 7.0837965278105955e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.069999999999694 y[1] (closed_form) 20.4121400381147 y[1] (numeric) 20.412140038116114 absolute error 1.4139800441625994e-12 relative error 6.927152378546962e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.079999999999697 y[1] (closed_form) 20.462292716341047 y[1] (numeric) 20.462292716342432 absolute error 1.3855583347321954e-12 relative error 6.771276092760113e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.0899999999997005 y[1] (closed_form) 20.512445394567393 y[1] (numeric) 20.51244539456875 absolute error 1.3571366253017914e-12 relative error 6.616162038199606e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.099999999999704 y[1] (closed_form) 20.56259807279374 y[1] (numeric) 20.56259807279507 absolute error 1.3287149158713873e-12 relative error 6.461804637563785e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.109999999999707 y[1] (closed_form) 20.612750751020087 y[1] (numeric) 20.612750751021387 absolute error 1.3002932064409833e-12 relative error 6.308198367831301e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.119999999999711 y[1] (closed_form) 20.662903429246434 y[1] (numeric) 20.662903429247706 absolute error 1.2718714970105793e-12 relative error 6.155337759602374e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.129999999999714 y[1] (closed_form) 20.71305610747278 y[1] (numeric) 20.713056107474024 absolute error 1.2434497875801753e-12 relative error 6.0032173964496144e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.139999999999717 y[1] (closed_form) 20.763208785699128 y[1] (numeric) 20.763208785700343 absolute error 1.2150280781497713e-12 relative error 5.85183191427827e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.149999999999721 y[1] (closed_form) 20.813361463925474 y[1] (numeric) 20.81336146392666 absolute error 1.1866063687193673e-12 relative error 5.701176000695705e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.159999999999724 y[1] (closed_form) 20.86351414215182 y[1] (numeric) 20.86351414215298 absolute error 1.1581846592889633e-12 relative error 5.5512443943899785e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.169999999999727 y[1] (closed_form) 20.913666820378168 y[1] (numeric) 20.913666820379298 absolute error 1.1297629498585593e-12 relative error 5.4020318845173725e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.179999999999731 y[1] (closed_form) 20.96381949860451 y[1] (numeric) 20.963819498605616 absolute error 1.1048939541069558e-12 relative error 5.270480191744184e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.189999999999734 y[1] (closed_form) 21.01397217683086 y[1] (numeric) 21.013972176831935 absolute error 1.0764722446765518e-12 relative error 5.1226499950515105e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.199999999999737 y[1] (closed_form) 21.064124855057205 y[1] (numeric) 21.064124855058253 absolute error 1.0480505352461478e-12 relative error 4.9755237516764216e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.209999999999741 y[1] (closed_form) 21.114277533283552 y[1] (numeric) 21.11427753328457 absolute error 1.0196288258157438e-12 relative error 4.829096445324491e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.219999999999744 y[1] (closed_form) 21.1644302115099 y[1] (numeric) 21.16443021151089 absolute error 9.912071163853398e-13 relative error 4.683363107249112e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.229999999999747 y[1] (closed_form) 21.214582889736246 y[1] (numeric) 21.21458288973721 absolute error 9.627854069549358e-13 relative error 4.538318815689455e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.239999999999751 y[1] (closed_form) 21.264735567962592 y[1] (numeric) 21.264735567963527 absolute error 9.343636975245317e-13 relative error 4.3939586953164004e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.249999999999754 y[1] (closed_form) 21.31488824618894 y[1] (numeric) 21.314888246189845 absolute error 9.059419880941277e-13 relative error 4.250277916686279e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.259999999999757 y[1] (closed_form) 21.365040924415286 y[1] (numeric) 21.365040924416164 absolute error 8.775202786637237e-13 relative error 4.1072716957023075e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.269999999999761 y[1] (closed_form) 21.415193602641633 y[1] (numeric) 21.415193602642482 absolute error 8.490985692333197e-13 relative error 3.964935293083602e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.279999999999764 y[1] (closed_form) 21.46534628086798 y[1] (numeric) 21.4653462808688 absolute error 8.206768598029157e-13 relative error 3.823264013841619e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.289999999999767 y[1] (closed_form) 21.515498959094327 y[1] (numeric) 21.51549895909512 absolute error 7.922551503725117e-13 relative error 3.682253206763934e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.299999999999771 y[1] (closed_form) 21.565651637320673 y[1] (numeric) 21.565651637321437 absolute error 7.638334409421077e-13 relative error 3.5418982639052158e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.309999999999774 y[1] (closed_form) 21.615804315547017 y[1] (numeric) 21.615804315547756 absolute error 7.389644451905042e-13 relative error 3.4186303428876302e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.319999999999777 y[1] (closed_form) 21.665956993773364 y[1] (numeric) 21.665956993774074 absolute error 7.105427357601002e-13 relative error 3.2795354295418615e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.329999999999781 y[1] (closed_form) 21.71610967199971 y[1] (numeric) 21.716109672000393 absolute error 6.821210263296962e-13 relative error 3.1410829869274814e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.339999999999784 y[1] (closed_form) 21.766262350226057 y[1] (numeric) 21.76626235022671 absolute error 6.536993168992922e-13 relative error 3.003268574002569e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.349999999999787 y[1] (closed_form) 21.816415028452404 y[1] (numeric) 21.81641502845303 absolute error 6.252776074688882e-13 relative error 2.866087790562369e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.359999999999791 y[1] (closed_form) 21.86656770667875 y[1] (numeric) 21.866567706679348 absolute error 5.968558980384842e-13 relative error 2.729536276770978e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.369999999999794 y[1] (closed_form) 21.916720384905098 y[1] (numeric) 21.916720384905666 absolute error 5.684341886080801e-13 relative error 2.5936097126994557e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.379999999999797 y[1] (closed_form) 21.966873063131445 y[1] (numeric) 21.966873063131985 absolute error 5.400124791776761e-13 relative error 2.4583038178702697e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.389999999999801 y[1] (closed_form) 22.01702574135779 y[1] (numeric) 22.017025741358303 absolute error 5.115907697472721e-13 relative error 2.3236143508079593e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.399999999999804 y[1] (closed_form) 22.06717841958414 y[1] (numeric) 22.06717841958462 absolute error 4.831690603168681e-13 relative error 2.1895371085959324e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.409999999999807 y[1] (closed_form) 22.117331097810485 y[1] (numeric) 22.11733109781094 absolute error 4.547473508864641e-13 relative error 2.056067926439289e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.419999999999811 y[1] (closed_form) 22.167483776036832 y[1] (numeric) 22.16748377603726 absolute error 4.263256414560601e-13 relative error 1.923202677233581e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.429999999999814 y[1] (closed_form) 22.21763645426318 y[1] (numeric) 22.217636454263577 absolute error 3.979039320256561e-13 relative error 1.7909372711394116e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.439999999999817 y[1] (closed_form) 22.267789132489526 y[1] (numeric) 22.267789132489895 absolute error 3.694822225952521e-13 relative error 1.6592676551627835e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.449999999999821 y[1] (closed_form) 22.31794181071587 y[1] (numeric) 22.317941810716214 absolute error 3.446132268436486e-13 relative error 1.544108456623827e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.459999999999824 y[1] (closed_form) 22.368094488942216 y[1] (numeric) 22.368094488942532 absolute error 3.161915174132446e-13 relative error 1.4135827151908515e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.4699999999998274 y[1] (closed_form) 22.418247167168563 y[1] (numeric) 22.41824716716885 absolute error 2.877698079828406e-13 relative error 1.2836409815495225e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.479999999999831 y[1] (closed_form) 22.46839984539491 y[1] (numeric) 22.46839984539517 absolute error 2.5934809855243657e-13 relative error 1.1542793449333784e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.489999999999834 y[1] (closed_form) 22.518552523621256 y[1] (numeric) 22.518552523621487 absolute error 2.3092638912203256e-13 relative error 1.0254939294157473e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.4999999999998375 y[1] (closed_form) 22.568705201847603 y[1] (numeric) 22.568705201847806 absolute error 2.0250467969162855e-13 relative error 8.972808935226393e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.509999999999841 y[1] (closed_form) 22.61885788007395 y[1] (numeric) 22.618857880074124 absolute error 1.7408297026122455e-13 relative error 7.696364298507869e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.519999999999844 y[1] (closed_form) 22.669010558300297 y[1] (numeric) 22.669010558300442 absolute error 1.4566126083082054e-13 relative error 6.425567646907571e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.5299999999998475 y[1] (closed_form) 22.719163236526644 y[1] (numeric) 22.71916323652676 absolute error 1.1723955140041653e-13 relative error 5.160381576550545e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.539999999999851 y[1] (closed_form) 22.76931591475299 y[1] (numeric) 22.76931591475308 absolute error 8.881784197001252e-14 relative error 3.900769013111391e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.549999999999854 y[1] (closed_form) 22.819468592979337 y[1] (numeric) 22.819468592979398 absolute error 6.039613253960852e-14 relative error 2.6466932081928523e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.5599999999998575 y[1] (closed_form) 22.869621271205684 y[1] (numeric) 22.869621271205716 absolute error 3.197442310920451e-14 relative error 1.398117735752028e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.569999999999861 y[1] (closed_form) 22.91977394943203 y[1] (numeric) 22.919773949432034 absolute error 3.552713678800501e-15 relative error 1.550064885735289e-14% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.579999999999864 y[1] (closed_form) 22.969926627658374 y[1] (numeric) 22.969926627658353 absolute error 2.1316282072803006e-14 relative error 9.280082787524364e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.5899999999998675 y[1] (closed_form) 23.02007930588472 y[1] (numeric) 23.02007930588467 absolute error 4.973799150320701e-14 relative error 2.1606351065216477e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.599999999999871 y[1] (closed_form) 23.070231984111068 y[1] (numeric) 23.07023198411099 absolute error 7.815970093361102e-14 relative error 3.3879026872135995e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.609999999999874 y[1] (closed_form) 23.120384662337415 y[1] (numeric) 23.120384662337308 absolute error 1.0658141036401503e-13 relative error 4.609845896622722e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.6199999999998775 y[1] (closed_form) 23.17053734056376 y[1] (numeric) 23.170537340563627 absolute error 1.3500311979441904e-13 relative error 5.826499308588511e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.629999999999881 y[1] (closed_form) 23.22069001879011 y[1] (numeric) 23.220690018789945 absolute error 1.6342482922482304e-13 relative error 7.037897198256391e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.639999999999884 y[1] (closed_form) 23.270842697016455 y[1] (numeric) 23.270842697016263 absolute error 1.9184653865522705e-13 relative error 8.24407354529639e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.649999999999888 y[1] (closed_form) 23.320995375242802 y[1] (numeric) 23.320995375242582 absolute error 2.2026824808563106e-13 relative error 9.4450620370803e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.659999999999891 y[1] (closed_form) 23.37114805346915 y[1] (numeric) 23.3711480534689 absolute error 2.4868995751603507e-13 relative error 1.0640896071817926e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.669999999999894 y[1] (closed_form) 23.421300731695496 y[1] (numeric) 23.42130073169522 absolute error 2.7711166694643907e-13 relative error 1.1831608761653035e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.679999999999898 y[1] (closed_form) 23.471453409921843 y[1] (numeric) 23.471453409921537 absolute error 3.055333763768431e-13 relative error 1.3017232935719614e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.689999999999901 y[1] (closed_form) 23.52160608814819 y[1] (numeric) 23.521606088147855 absolute error 3.339550858072471e-13 relative error 1.4197801143159045e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.699999999999904 y[1] (closed_form) 23.571758766374536 y[1] (numeric) 23.571758766374174 absolute error 3.623767952376511e-13 relative error 1.5373345656098728e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.709999999999908 y[1] (closed_form) 23.62191144460088 y[1] (numeric) 23.621911444600492 absolute error 3.872457909892546e-13 relative error 1.6393499395569238e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.719999999999911 y[1] (closed_form) 23.672064122827226 y[1] (numeric) 23.67206412282681 absolute error 4.156675004196586e-13 relative error 1.7559410884614239e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.729999999999914 y[1] (closed_form) 23.722216801053573 y[1] (numeric) 23.72221680105313 absolute error 4.440892098500626e-13 relative error 1.8720392515354606e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.739999999999918 y[1] (closed_form) 23.77236947927992 y[1] (numeric) 23.772369479279448 absolute error 4.725109192804666e-13 relative error 1.9876475489425184e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.749999999999921 y[1] (closed_form) 23.822522157506267 y[1] (numeric) 23.822522157505766 absolute error 5.009326287108706e-13 relative error 2.10276907457102e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.759999999999924 y[1] (closed_form) 23.872674835732614 y[1] (numeric) 23.872674835732084 absolute error 5.293543381412746e-13 relative error 2.2174068963103255e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.769999999999928 y[1] (closed_form) 23.92282751395896 y[1] (numeric) 23.922827513958403 absolute error 5.577760475716786e-13 relative error 2.3315640563232607e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.779999999999931 y[1] (closed_form) 23.972980192185307 y[1] (numeric) 23.97298019218472 absolute error 5.861977570020827e-13 relative error 2.4452435713152212e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.789999999999934 y[1] (closed_form) 24.023132870411654 y[1] (numeric) 24.02313287041104 absolute error 6.146194664324867e-13 relative error 2.5584484327999086e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.799999999999938 y[1] (closed_form) 24.073285548638 y[1] (numeric) 24.073285548637358 absolute error 6.430411758628907e-13 relative error 2.6711816073617427e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.809999999999941 y[1] (closed_form) 24.123438226864348 y[1] (numeric) 24.123438226863676 absolute error 6.714628852932947e-13 relative error 2.7834460369150035e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.819999999999944 y[1] (closed_form) 24.173590905090695 y[1] (numeric) 24.173590905089995 absolute error 6.998845947236987e-13 relative error 2.8952446389597443e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.829999999999948 y[1] (closed_form) 24.22374358331704 y[1] (numeric) 24.223743583316313 absolute error 7.283063041541027e-13 relative error 3.0065803068345278e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.839999999999951 y[1] (closed_form) 24.273896261543385 y[1] (numeric) 24.27389626154263 absolute error 7.531752999057062e-13 relative error 3.10281996672675e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.849999999999954 y[1] (closed_form) 24.32404893976973 y[1] (numeric) 24.32404893976895 absolute error 7.815970093361102e-13 relative error 3.213268528078818e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.859999999999958 y[1] (closed_form) 24.37420161799608 y[1] (numeric) 24.37420161799527 absolute error 8.100187187665142e-13 relative error 3.323262568602277e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.869999999999961 y[1] (closed_form) 24.424354296222425 y[1] (numeric) 24.424354296221587 absolute error 8.384404281969182e-13 relative error 3.4328048882200947e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.879999999999964 y[1] (closed_form) 24.474506974448772 y[1] (numeric) 24.474506974447905 absolute error 8.668621376273222e-13 relative error 3.541898263905053e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.889999999999968 y[1] (closed_form) 24.52465965267512 y[1] (numeric) 24.524659652674224 absolute error 8.952838470577262e-13 relative error 3.6505454499144084e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.899999999999971 y[1] (closed_form) 24.574812330901466 y[1] (numeric) 24.574812330900542 absolute error 9.237055564881302e-13 relative error 3.758749178021684e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.909999999999974 y[1] (closed_form) 24.624965009127813 y[1] (numeric) 24.62496500912686 absolute error 9.521272659185342e-13 relative error 3.86651215774563e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.919999999999978 y[1] (closed_form) 24.67511768735416 y[1] (numeric) 24.67511768735318 absolute error 9.805489753489383e-13 relative error 3.97383707657639e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.929999999999981 y[1] (closed_form) 24.725270365580506 y[1] (numeric) 24.725270365579497 absolute error 1.0089706847793423e-12 relative error 4.080726600198911e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.939999999999984 y[1] (closed_form) 24.775423043806853 y[1] (numeric) 24.775423043805816 absolute error 1.0373923942097463e-12 relative error 4.1871833727136484e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.949999999999988 y[1] (closed_form) 24.8255757220332 y[1] (numeric) 24.825575722032134 absolute error 1.0658141036401503e-12 relative error 4.293210016854589e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.959999999999991 y[1] (closed_form) 24.875728400259547 y[1] (numeric) 24.875728400258453 absolute error 1.0942358130705543e-12 relative error 4.398809134204639e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.969999999999994 y[1] (closed_form) 24.92588107848589 y[1] (numeric) 24.92588107848477 absolute error 1.1191048088221578e-12 relative error 4.4897301936824345e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.979999999999998 y[1] (closed_form) 24.976033756712237 y[1] (numeric) 24.97603375671109 absolute error 1.1475265182525618e-12 relative error 4.5945105993627485e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.990000000000001 y[1] (closed_form) 25.026186434938584 y[1] (numeric) 25.026186434937408 absolute error 1.1759482276829658e-12 relative error 4.69887104349725e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = sinh ( 0.1 ) * cosh ( 0.05 ) / tanh ( 0.02 ) ; Iterations 4900 Total Elapsed Time 0 Seconds Elapsed Time(since restart) 0 Seconds Time to Timeout 3 Minutes 0.0 Seconds Percent Done 100.0204081632654%