##############ECHO OF PROBLEM################# ##############R:Temp/sing7_backpostode.ode################# diff ( y , x , 1 ) = neg ( 5.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=64; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(3.0) x_end=c(2.0) $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=1 # ELIMINATED in preodein.rb $array_given_rad_poles[1][1]=c(6.0) # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # 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(c(1.0)/ ( c(x) - c(6.0) ) / ( c(x) - c(6.0) )/ ( c(x) - c(6.0) )/ ( c(x) - c(6.0) )/ ( c(x) - c(6.0) )) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 2.999 y[1] (closed_form) -0.004108374480265711 y[1] (numeric) -0.004108374480265709 absolute error 1.734723475976807e-18 relative error 4.2224083620162425e-14% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.001 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0010000000000026 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.998 y[1] (closed_form) -0.004101536308546395 y[1] (numeric) -0.004101536308546393 absolute error 2.6020852139652106e-18 relative error 6.344172081430147e-14% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.002 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.00199999999997 Order of pole (three term test) 1.750130589425304e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9970000000000003 y[1] (closed_form) -0.0040947117904110075 y[1] (numeric) -0.004094711790411004 absolute error 3.469446951953614e-18 relative error 8.472994265624169e-14% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.0029999999999997 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.003000000000015 Order of pole (three term test) 1.783078797922093e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9960000000000004 y[1] (closed_form) -0.004087900894064784 y[1] (numeric) -0.00408790089406478 absolute error 4.336808689942018e-18 relative error 1.060888901743832e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.0039999999999996 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.003999999999997 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9950000000000006 y[1] (closed_form) -0.00408110358779755 y[1] (numeric) -0.004081103587797546 absolute error 4.336808689942018e-18 relative error 1.0626558715414681e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.0049999999999994 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.005000000000012 Order of pole (three term test) 9.254066416934658e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9940000000000007 y[1] (closed_form) -0.004074319839983467 y[1] (numeric) -0.004074319839983462 absolute error 5.204170427930421e-18 relative error 1.277310233933804e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.0059999999999993 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.005999999999987 Order of pole (three term test) 9.428109268635543e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9930000000000008 y[1] (closed_form) -0.004067549619080777 y[1] (numeric) -0.004067549619080772 absolute error 5.204170427930421e-18 relative error 1.2794362491652918e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.0069999999999992 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0069999999999886 Order of pole (three term test) 9.605365846245553e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.992000000000001 y[1] (closed_form) -0.004060792893631557 y[1] (numeric) -0.004060792893631551 absolute error 6.071532165918825e-18 relative error 1.4951592767611126e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.007999999999999 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0080000000000098 Order of pole (three term test) 9.785894393202206e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.991000000000001 y[1] (closed_form) -0.004054049632261466 y[1] (numeric) -0.004054049632261458 absolute error 7.806255641895632e-18 relative error 1.925545158543379e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.008999999999999 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0090000000000097 Order of pole (three term test) 9.96975418861376e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.990000000000001 y[1] (closed_form) -0.004047319803679488 y[1] (numeric) -0.00404731980367948 absolute error 7.806255641895632e-18 relative error 1.9287469289673702e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.009999999999999 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.009999999999975 Order of pole (three term test) 1.0157005565322049e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.989000000000001 y[1] (closed_form) -0.004040603376677698 y[1] (numeric) -0.004040603376677689 absolute error 8.673617379884035e-18 relative error 2.1466143967378795e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.010999999999999 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.010999999999997 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9880000000000013 y[1] (closed_form) -0.004033900320130999 y[1] (numeric) -0.004033900320130991 absolute error 7.806255641895632e-18 relative error 1.935163247078482e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.0119999999999987 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.011999999999987 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9870000000000014 y[1] (closed_form) -0.004027210602996888 y[1] (numeric) -0.004027210602996879 absolute error 9.540979117872439e-18 relative error 2.3691284262045854e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.0129999999999986 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0129999999999897 Order of pole (three term test) 1.0739728705650874e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9860000000000015 y[1] (closed_form) -0.004020534194315197 y[1] (numeric) -0.004020534194315186 absolute error 1.0408340855860843e-17 relative error 2.5887955064721586e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.0139999999999985 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.013999999999988 Order of pole (three term test) 1.0941171460263806e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9850000000000017 y[1] (closed_form) -0.004013871063207853 y[1] (numeric) -0.004013871063207843 absolute error 9.540979117872439e-18 relative error 2.3770018935903157e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.0149999999999983 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0149999999999824 Order of pole (three term test) 2.2292647840970003e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9840000000000018 y[1] (closed_form) -0.0040072211788786385 y[1] (numeric) -0.004007221178878628 absolute error 1.0408340855860843e-17 relative error 2.597396148413615e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.0159999999999982 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0159999999999854 Order of pole (three term test) 1.1355253138533127e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.983000000000002 y[1] (closed_form) -0.004000584510612939 y[1] (numeric) -0.0040005845106129275 absolute error 1.1275702593849246e-17 relative error 2.818513785657204e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.016999999999998 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0169999999999746 Order of pole (three term test) 1.1568027355741695e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.982000000000002 y[1] (closed_form) -0.003993961027777503 y[1] (numeric) -0.003993961027777491 absolute error 1.214306433183765e-17 relative error 3.040356239678891e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 3.017999999999998 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0179999999999896 Order of pole (three term test) 1.1784716023242685e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.981000000000002 y[1] (closed_form) -0.0039873506998202015 y[1] (numeric) -0.0039873506998201885 absolute error 1.3010426069826053e-17 relative error 3.2629249467353654e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.018999999999998 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0189999999999806 Order of pole (three term test) 2.4010779646003424e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.980000000000002 y[1] (closed_form) -0.003980753496269783 y[1] (numeric) -0.003980753496269768 absolute error 1.474514954580286e-17 relative error 3.7041101790452475e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.019999999999998 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.019999999999989 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9790000000000023 y[1] (closed_form) -0.0039741693867356345 y[1] (numeric) -0.003974169386735619 absolute error 1.5612511283791264e-17 relative error 3.9284966906293125e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0209999999999977 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.020999999999968 Order of pole (three term test) 1.2458981830059382e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9780000000000024 y[1] (closed_form) -0.003967598340907541 y[1] (numeric) -0.003967598340907526 absolute error 1.474514954580286e-17 relative error 3.71639170068563e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0219999999999976 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.021999999999988 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9770000000000025 y[1] (closed_form) -0.003961040328555451 y[1] (numeric) -0.003961040328555435 absolute error 1.5612511283791264e-17 relative error 3.941517881360471e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0229999999999975 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0229999999999912 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9760000000000026 y[1] (closed_form) -0.003954495319529228 y[1] (numeric) -0.003954495319529212 absolute error 1.6479873021779667e-17 relative error 4.167377045660924e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0239999999999974 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.024000000000005 Order of pole (three term test) 1.3171098559411134e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9750000000000028 y[1] (closed_form) -0.003947963283758423 y[1] (numeric) -0.003947963283758405 absolute error 1.734723475976807e-17 relative error 4.3939706407942257e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0249999999999972 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.024999999999998 Order of pole (three term test) 6.70861957143561e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.974000000000003 y[1] (closed_form) -0.00394144419125203 y[1] (numeric) -0.003941444191252011 absolute error 1.9081958235744878e-17 relative error 4.841362026157053e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.025999999999997 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0259999999999683 Order of pole (three term test) 2.0501843909337087e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.973000000000003 y[1] (closed_form) -0.0039349380120982545 y[1] (numeric) -0.003934938012098235 absolute error 1.9081958235744878e-17 relative error 4.84936692193778e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.026999999999997 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0270000000000206 Order of pole (three term test) 1.3923150279719574e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.972000000000003 y[1] (closed_form) -0.003928444716464279 y[1] (numeric) -0.003928444716464259 absolute error 1.9949319973733282e-17 relative error 5.078172511916696e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.027999999999997 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0279999999999943 Order of pole (three term test) 7.091542465318599e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.971000000000003 y[1] (closed_form) -0.003921964274596024 y[1] (numeric) -0.003921964274596003 absolute error 2.0816681711721685e-17 relative error 5.307718340668943e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.028999999999997 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0289999999999755 Order of pole (three term test) 1.4447784121532057e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9700000000000033 y[1] (closed_form) -0.003915496656817918 y[1] (numeric) -0.003915496656817896 absolute error 2.168404344971009e-17 relative error 5.538005864965411e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0299999999999967 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.029999999999999 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9690000000000034 y[1] (closed_form) -0.0039090418335326615 y[1] (numeric) -0.00390904183353264 absolute error 2.168404344971009e-17 relative error 5.547150522590822e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0309999999999966 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.030999999999985 Order of pole (three term test) 7.495910251110645e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9680000000000035 y[1] (closed_form) -0.0039025997752210003 y[1] (numeric) -0.0039025997752209773 absolute error 2.2985086056692694e-17 relative error 5.889685691736369e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0319999999999965 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0319999999999974 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9670000000000036 y[1] (closed_form) -0.0038961704524414866 y[1] (numeric) -0.0038961704524414628 absolute error 2.3852447794681098e-17 relative error 6.122023686036184e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0329999999999964 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.032999999999981 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9660000000000037 y[1] (closed_form) -0.0038897538358302545 y[1] (numeric) -0.00388975383583023 absolute error 2.47198095326695e-17 relative error 6.355108980153019e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0339999999999963 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.03399999999998 Order of pole (three term test) 7.922900880839417e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.965000000000004 y[1] (closed_form) -0.0038833498961007855 y[1] (numeric) -0.003883349896100761 absolute error 2.47198095326695e-17 relative error 6.365589038857997e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.034999999999996 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.034999999999961 Order of pole (three term test) 2.4211413180952556e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.964000000000004 y[1] (closed_form) -0.003876958604043685 y[1] (numeric) -0.0038769586040436595 absolute error 2.5587171270657905e-17 relative error 6.599805126619194e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.035999999999996 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.035999999999995 Order of pole (three term test) 8.220739870485873e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.963000000000004 y[1] (closed_form) -0.003870579930526448 y[1] (numeric) -0.003870579930526422 absolute error 2.6020852139652106e-17 relative error 6.722726983217975e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.036999999999996 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0370000000000013 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.962000000000004 y[1] (closed_form) -0.0038642138464932336 y[1] (numeric) -0.003864213846493207 absolute error 2.6454533008646308e-17 relative error 6.846032352131273e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.037999999999996 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.037999999999977 Order of pole (three term test) 1.7059135965976618e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9610000000000043 y[1] (closed_form) -0.0038578603229646406 y[1] (numeric) -0.0038578603229646137 absolute error 2.688821387764051e-17 relative error 6.969721977123783e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0389999999999957 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0389999999999726 Order of pole (three term test) 2.606468019775126e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9600000000000044 y[1] (closed_form) -0.003851519331037478 y[1] (numeric) -0.00385151933103745 absolute error 2.8189256484623115e-17 relative error 7.318996495086996e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0399999999999956 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.039999999999976 Order of pole (three term test) 8.849783037107847e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9590000000000045 y[1] (closed_form) -0.0038451908418845396 y[1] (numeric) -0.0038451908418845114 absolute error 2.8189256484623115e-17 relative error 7.331042240495787e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0409999999999955 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0409999999999533 Order of pole (three term test) 3.6057155338825355e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9580000000000046 y[1] (closed_form) -0.003838874826754383 y[1] (numeric) -0.003838874826754354 absolute error 2.905661822261152e-17 relative error 7.569045497421895e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0419999999999954 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0419999999999847 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9570000000000047 y[1] (closed_form) -0.0038325712569711023 y[1] (numeric) -0.003832571256971072 absolute error 3.0357660829594124e-17 relative error 7.920964489408063e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0429999999999953 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.042999999999971 Order of pole (three term test) 1.8704722489320162e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.956000000000005 y[1] (closed_form) -0.003826280103934103 y[1] (numeric) -0.0038262801039340728 absolute error 3.0357660829594124e-17 relative error 7.933988104629611e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.043999999999995 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0439999999999956 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.955000000000005 y[1] (closed_form) -0.003820001339117889 y[1] (numeric) -0.003820001339117857 absolute error 3.209238430557093e-17 relative error 8.401144778913002e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.044999999999995 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.044999999999979 Order of pole (three term test) 1.9405756043739522e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.954000000000005 y[1] (closed_form) -0.0038137349340718264 y[1] (numeric) -0.003813734934071794 absolute error 3.252606517456513e-17 relative error 8.528664350523673e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.045999999999995 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.045999999999984 Order of pole (three term test) 9.882942884482263e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.953000000000005 y[1] (closed_form) -0.0038074808604199365 y[1] (numeric) -0.0038074808604199027 absolute error 3.382710778154774e-17 relative error 8.884380256035446e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.046999999999995 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0469999999999815 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9520000000000053 y[1] (closed_form) -0.003801239089860665 y[1] (numeric) -0.003801239089860631 absolute error 3.382710778154774e-17 relative error 8.898968726218081e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0479999999999947 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.047999999999981 Order of pole (three term test) 1.0252973877454403e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9510000000000054 y[1] (closed_form) -0.0037950095941666714 y[1] (numeric) -0.0037950095941666363 absolute error 3.5128150388530344e-17 relative error 9.256406213709184e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0489999999999946 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0489999999999724 Order of pole (three term test) 1.0443058382466449e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9500000000000055 y[1] (closed_form) -0.003788792345184601 y[1] (numeric) -0.0037887923451845654 absolute error 3.5561831257524545e-17 relative error 9.38605973027848e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0499999999999945 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.049999999999975 Order of pole (three term test) 1.063660287645836e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9490000000000056 y[1] (closed_form) -0.003782587314834874 y[1] (numeric) -0.003782587314834838 absolute error 3.599551212651875e-17 relative error 9.516108718851901e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0509999999999944 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0509999999999873 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9480000000000057 y[1] (closed_form) -0.003776394475111466 y[1] (numeric) -0.0037763944751114287 absolute error 3.729655473350135e-17 relative error 9.87623379371682e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0519999999999943 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0519999999999934 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.947000000000006 y[1] (closed_form) -0.0037702137980816872 y[1] (numeric) -0.00377021379808165 absolute error 3.729655473350135e-17 relative error 9.892424337441583e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.052999999999994 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0529999999999857 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.946000000000006 y[1] (closed_form) -0.0037640452558859745 y[1] (numeric) -0.0037640452558859367 absolute error 3.7730235602495554e-17 relative error 1.0023852806630158e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.053999999999994 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.053999999999994 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.945000000000006 y[1] (closed_form) -0.0037578888207376697 y[1] (numeric) -0.003757888820737631 absolute error 3.859759734048396e-17 relative error 1.0271085490205453e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.054999999999994 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.05499999999997 Order of pole (three term test) 1.165842700560614e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.944000000000006 y[1] (closed_form) -0.003751744464922806 y[1] (numeric) -0.0037517444649227665 absolute error 3.946495907847236e-17 relative error 1.051909570266651e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.055999999999994 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0559999999999756 Order of pole (three term test) 1.1874068120310185e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9430000000000063 y[1] (closed_form) -0.0037456121607998966 y[1] (numeric) -0.0037456121607998562 absolute error 4.0332320816460765e-17 relative error 1.0767884950439601e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0569999999999937 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.056999999999992 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9420000000000064 y[1] (closed_form) -0.0037394918807997194 y[1] (numeric) -0.0037394918807996777 absolute error 4.163336342344337e-17 relative error 1.1133427949719134e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0579999999999936 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.058000000000002 Order of pole (three term test) 1.2317168474905695e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9410000000000065 y[1] (closed_form) -0.003733383597425103 y[1] (numeric) -0.003733383597425062 absolute error 4.119968255444917e-17 relative error 1.10354806784024e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0589999999999935 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0589999999999886 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9400000000000066 y[1] (closed_form) -0.0037272872832507234 y[1] (numeric) -0.003727287283250681 absolute error 4.2500725161431774e-17 relative error 1.1402589049794173e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0599999999999934 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.060000000000002 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9390000000000067 y[1] (closed_form) -0.0037212029109228795 y[1] (numeric) -0.0037212029109228357 absolute error 4.380176776841438e-17 relative error 1.177086249176111e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0609999999999933 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.060999999999988 Order of pole (three term test) 1.3012429781164852e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.938000000000007 y[1] (closed_form) -0.003715130453159292 y[1] (numeric) -0.003715130453159248 absolute error 4.380176776841438e-17 relative error 1.179010221058752e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.061999999999993 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0619999999999896 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.937000000000007 y[1] (closed_form) -0.0037090698827488937 y[1] (numeric) -0.003709069882748849 absolute error 4.466912950640278e-17 relative error 1.2043215932425966e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.062999999999993 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0629999999999775 Order of pole (three term test) 1.349720246774194e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.936000000000007 y[1] (closed_form) -0.0037030211725516157 y[1] (numeric) -0.0037030211725515706 absolute error 4.5102810375396984e-17 relative error 1.2180003373925702e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.063999999999993 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0639999999999588 Order of pole (three term test) 2.0619295105587153e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.935000000000007 y[1] (closed_form) -0.0036969842954981823 y[1] (numeric) -0.003696984295498137 absolute error 4.5102810375396984e-17 relative error 1.219989233665901e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.064999999999993 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0649999999999835 Order of pole (three term test) 1.3999700905031588e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9340000000000073 y[1] (closed_form) -0.003690959224589903 y[1] (numeric) -0.0036909592245898577 absolute error 4.5102810375396984e-17 relative error 1.2219807272568365e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0659999999999927 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.065999999999987 Order of pole (three term test) 7.128897572735e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9330000000000074 y[1] (closed_form) -0.0036849459328984657 y[1] (numeric) -0.0036849459328984193 absolute error 4.640385298237959e-17 relative error 1.2592817866904152e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0669999999999926 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0669999999999904 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9320000000000075 y[1] (closed_form) -0.003678944393565727 y[1] (numeric) -0.0036789443935656804 absolute error 4.640385298237959e-17 relative error 1.2613360795432896e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0679999999999925 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0680000000000014 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9310000000000076 y[1] (closed_form) -0.003672954579803513 y[1] (numeric) -0.003672954579803465 absolute error 4.7704895589362195e-17 relative error 1.2988152876073463e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0689999999999924 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.06899999999997 Order of pole (three term test) 7.530220579947963e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9300000000000077 y[1] (closed_form) -0.0036669764648934074 y[1] (numeric) -0.0036669764648933592 absolute error 4.8138576458356397e-17 relative error 1.3127593514499335e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0699999999999923 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.069999999999969 Order of pole (three term test) 1.5337725757940994e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.929000000000008 y[1] (closed_form) -0.003661010022186553 y[1] (numeric) -0.0036610100221865036 absolute error 4.9439619065339e-17 relative error 1.3504365944295064e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.070999999999992 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0709999999999664 Order of pole (three term test) 7.810011379160862e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.928000000000008 y[1] (closed_form) -0.003655055225103443 y[1] (numeric) -0.0036550552251033933 absolute error 4.9873299934333204e-17 relative error 1.3645019531249823e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.071999999999992 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0719999999999805 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.927000000000008 y[1] (closed_form) -0.003649112047133723 y[1] (numeric) -0.0036491120471336728 absolute error 5.0306980803327406e-17 relative error 1.3786088273952057e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.072999999999992 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.072999999999995 Order of pole (three term test) 8.100005619717661e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.926000000000008 y[1] (closed_form) -0.0036431804618359855 y[1] (numeric) -0.003643180461835934 absolute error 5.160802341031001e-17 relative error 1.4165651125693094e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.073999999999992 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.073999999999972 Order of pole (three term test) 8.248942626779618e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9250000000000083 y[1] (closed_form) -0.0036372604428375668 y[1] (numeric) -0.0036372604428375147 absolute error 5.204170427930421e-17 relative error 1.4307940027166292e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0749999999999917 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0749999999999744 Order of pole (three term test) 8.400568395054396e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9240000000000084 y[1] (closed_form) -0.0036313519638343505 y[1] (numeric) -0.0036313519638342985 absolute error 5.204170427930421e-17 relative error 1.4331220106891894e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0759999999999916 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0759999999999823 Order of pole (three term test) 1.71098611332214e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9230000000000085 y[1] (closed_form) -0.0036254549985905663 y[1] (numeric) -0.0036254549985905125 absolute error 5.377642775528102e-17 relative error 1.483301482881105e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0769999999999915 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.076999999999974 Order of pole (three term test) 1.7424155223562543e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9220000000000086 y[1] (closed_form) -0.0036195695209385835 y[1] (numeric) -0.003619569520938529 absolute error 5.4643789493269423e-17 relative error 1.509676473325476e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0779999999999914 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0779999999999808 Order of pole (three term test) 8.872058843286298e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9210000000000087 y[1] (closed_form) -0.0036136955047787202 y[1] (numeric) -0.0036136955047786656 absolute error 5.4643789493269423e-17 relative error 1.512130433264478e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0789999999999913 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.078999999999962 Order of pole (three term test) 1.806984886118467e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.920000000000009 y[1] (closed_form) -0.003607832924079044 y[1] (numeric) -0.0036078329240789883 absolute error 5.551115123125783e-17 relative error 1.5386286560214791e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.079999999999991 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0799999999999765 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.919000000000009 y[1] (closed_form) -0.003601981752875168 y[1] (numeric) -0.0036019817528751123 absolute error 5.551115123125783e-17 relative error 1.5411280522714424e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.080999999999991 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.080999999999971 Order of pole (three term test) 9.369513722046744e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.918000000000009 y[1] (closed_form) -0.003596141965270062 y[1] (numeric) -0.0035961419652700047 absolute error 5.724587470723463e-17 relative error 1.5918691547800337e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.081999999999991 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0819999999999643 Order of pole (three term test) 1.9082684362956328e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.917000000000009 y[1] (closed_form) -0.003590313535433846 y[1] (numeric) -0.0035903135354337892 absolute error 5.681219383824043e-17 relative error 1.5823741653074143e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.082999999999991 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.082999999999968 Order of pole (three term test) 1.9432529075422135e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9160000000000093 y[1] (closed_form) -0.003584496437603607 y[1] (numeric) -0.0035844964376035493 absolute error 5.767955557622884e-17 relative error 1.6091397098664756e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0839999999999907 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0839999999999783 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9150000000000094 y[1] (closed_form) -0.003578690646083192 y[1] (numeric) -0.0035786906460831334 absolute error 5.854691731421724e-17 relative error 1.6359870998711696e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0849999999999906 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0849999999999853 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9140000000000095 y[1] (closed_form) -0.0035728961352430194 y[1] (numeric) -0.0035728961352429604 absolute error 5.898059818321144e-17 relative error 1.6507784147831024e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0859999999999905 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0859999999999648 Order of pole (three term test) 2.052029303004389e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9130000000000096 y[1] (closed_form) -0.0035671128795198856 y[1] (numeric) -0.0035671128795198258 absolute error 5.984795992119984e-17 relative error 1.6777702848936775e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0869999999999904 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.08699999999996 Order of pole (three term test) 1.0448000791437314e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9120000000000097 y[1] (closed_form) -0.003561340853416768 y[1] (numeric) -0.0035613408534167076 absolute error 6.028164079019405e-17 relative error 1.6926669833458806e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0879999999999903 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0879999999999934 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.91100000000001 y[1] (closed_form) -0.0035555800315026356 y[1] (numeric) -0.0035555800315025744 absolute error 6.114900252818245e-17 relative error 1.719803857215951e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.08899999999999 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0889999999999675 Order of pole (three term test) 1.0833899703280733e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.91000000000001 y[1] (closed_form) -0.0035498303884122545 y[1] (numeric) -0.003549830388412193 absolute error 6.158268339717665e-17 relative error 1.7348063614025503e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.08999999999999 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0899999999999745 Order of pole (three term test) 1.1032064533114726e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.90900000000001 y[1] (closed_form) -0.0035440918988459986 y[1] (numeric) -0.003544091898845937 absolute error 6.158268339717665e-17 relative error 1.7376153089379189e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.09099999999999 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.090999999999969 Order of pole (three term test) 2.246757629012861e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.90800000000001 y[1] (closed_form) -0.003538364537569659 y[1] (numeric) -0.003538364537569596 absolute error 6.288372600415926e-17 relative error 1.7771974972186223e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.09199999999999 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0919999999999934 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9070000000000102 y[1] (closed_form) -0.003532648279414248 y[1] (numeric) -0.0035326482794141856 absolute error 6.245004513516506e-17 relative error 1.7677968536828117e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0929999999999898 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.092999999999974 Order of pole (three term test) 1.1648163714638944e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9060000000000104 y[1] (closed_form) -0.0035269430992758205 y[1] (numeric) -0.0035269430992757567 absolute error 6.375108774214766e-17 relative error 1.8075451162009825e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0939999999999896 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0939999999999643 Order of pole (three term test) 1.1860944402461005e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9050000000000105 y[1] (closed_form) -0.003521248972115273 y[1] (numeric) -0.003521248972115208 absolute error 6.505213034913027e-17 relative error 1.8474163816383697e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0949999999999895 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0949999999999913 Order of pole (three term test) 1.207754136990275e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9040000000000106 y[1] (closed_form) -0.003515565872958161 y[1] (numeric) -0.003515565872958097 absolute error 6.418476861114186e-17 relative error 1.8257307907342328e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0959999999999894 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0959999999999726 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9030000000000107 y[1] (closed_form) -0.003509893776894516 y[1] (numeric) -0.003509893776894451 absolute error 6.505213034913027e-17 relative error 1.853393136207304e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.0969999999999893 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.096999999999962 Order of pole (three term test) 2.5044908045271945e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.902000000000011 y[1] (closed_form) -0.003504232659078649 y[1] (numeric) -0.0035042326590785833 absolute error 6.591949208711867e-17 relative error 1.881139139444313e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.097999999999989 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.097999999999989 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.901000000000011 y[1] (closed_form) -0.0034985824947289684 y[1] (numeric) -0.003498582494728902 absolute error 6.635317295611287e-17 relative error 1.8965730565473826e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.098999999999989 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.098999999999977 Order of pole (three term test) 1.2983453152246426e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.900000000000011 y[1] (closed_form) -0.0034929432591277957 y[1] (numeric) -0.003492943259127728 absolute error 6.765421556309548e-17 relative error 1.9368827531423756e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.099999999999989 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0999999999999686 Order of pole (three term test) 2.644032543189538e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.899000000000011 y[1] (closed_form) -0.003487314927621176 y[1] (numeric) -0.0034873149276211076 absolute error 6.852157730108388e-17 relative error 1.9648806810753088e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.100999999999989 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.100999999999974 Order of pole (three term test) 1.3461109440076897e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8980000000000112 y[1] (closed_form) -0.003481697475618696 y[1] (numeric) -0.003481697475618628 absolute error 6.808789643208968e-17 relative error 1.9555948473090843e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1019999999999888 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.101999999999975 Order of pole (three term test) 1.3706367767652914e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8970000000000113 y[1] (closed_form) -0.003476090878593303 y[1] (numeric) -0.0034760908785932336 absolute error 6.938893903907228e-17 relative error 1.9961773573409123e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1029999999999887 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.102999999999991 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8960000000000115 y[1] (closed_form) -0.0034704951120811123 y[1] (numeric) -0.0034704951120810425 absolute error 6.982261990806649e-17 relative error 2.0118921840577596e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1039999999999885 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.103999999999976 Order of pole (three term test) 1.4210123443209258e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8950000000000116 y[1] (closed_form) -0.0034649101516812325 y[1] (numeric) -0.003464910151681162 absolute error 7.068998164605489e-17 relative error 2.0401678124829565e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1049999999999884 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1049999999999667 Order of pole (three term test) 1.4468776180665014e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8940000000000117 y[1] (closed_form) -0.0034593359730555793 y[1] (numeric) -0.003459335973055508 absolute error 7.112366251504909e-17 relative error 2.0559917587948717e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1059999999999883 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.105999999999956 Order of pole (three term test) 2.9464102689992606e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.893000000000012 y[1] (closed_form) -0.003453772551928696 y[1] (numeric) -0.0034537725519286234 absolute error 7.24247051220317e-17 relative error 2.096973788316994e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.106999999999988 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1069999999999993 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.892000000000012 y[1] (closed_form) -0.003448219864087567 y[1] (numeric) -0.0034482198640874945 absolute error 7.24247051220317e-17 relative error 2.100350557002431e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.107999999999988 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.107999999999975 Order of pole (three term test) 7.636397334645342e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.891000000000012 y[1] (closed_form) -0.0034426778853814464 y[1] (numeric) -0.0034426778853813727 absolute error 7.37257477290143e-17 relative error 2.1415232613563422e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.108999999999988 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1089999999999596 Order of pole (three term test) 1.5550429198801712e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.890000000000012 y[1] (closed_form) -0.0034371465917216668 y[1] (numeric) -0.0034371465917215935 absolute error 7.32920668600201e-17 relative error 2.132352080546792e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.109999999999988 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1100000000000056 Order of pole (three term test) 7.916509470891619e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8890000000000122 y[1] (closed_form) -0.003431625959081471 y[1] (numeric) -0.0034316259590813965 absolute error 7.45931094670027e-17 relative error 2.1736958035767026e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1109999999999878 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.110999999999971 Order of pole (three term test) 1.6120650702613947e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8880000000000123 y[1] (closed_form) -0.003426115963495823 y[1] (numeric) -0.0034261159634957476 absolute error 7.546047120499111e-17 relative error 2.202507796262545e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1119999999999877 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.111999999999955 Order of pole (three term test) 2.462011916647749e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8870000000000124 y[1] (closed_form) -0.003420616581061236 y[1] (numeric) -0.00342061658106116 absolute error 7.589415207398531e-17 relative error 2.218727246256854e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1129999999999876 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.112999999999972 Order of pole (three term test) 1.6711394980383325e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8860000000000126 y[1] (closed_form) -0.003415127787935593 y[1] (numeric) -0.003415127787935517 absolute error 7.589415207398531e-17 relative error 2.222293184521288e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1139999999999874 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1139999999999675 Order of pole (three term test) 1.7014688666992883e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8850000000000127 y[1] (closed_form) -0.0034096495603379716 y[1] (numeric) -0.0034096495603378935 absolute error 7.806255641895632e-17 relative error 2.2894598121461663e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1149999999999873 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1149999999999887 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8840000000000128 y[1] (closed_form) -0.003404181874548459 y[1] (numeric) -0.003404181874548381 absolute error 7.806255641895632e-17 relative error 2.2931370677517273e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1159999999999872 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.115999999999967 Order of pole (three term test) 1.7637583786438533e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.883000000000013 y[1] (closed_form) -0.003398724706907988 y[1] (numeric) -0.0033987247069079095 absolute error 7.849623728795052e-17 relative error 2.3095791526864494e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.116999999999987 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.116999999999977 Order of pole (three term test) 1.7957375881192952e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.882000000000013 y[1] (closed_form) -0.0033932780338181544 y[1] (numeric) -0.003393278033818075 absolute error 7.936359902593892e-17 relative error 2.338847516619147e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.117999999999987 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.117999999999978 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.881000000000013 y[1] (closed_form) -0.0033878418317410414 y[1] (numeric) -0.003387841831740962 absolute error 7.936359902593892e-17 relative error 2.34260048041125e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.118999999999987 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.118999999999975 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.880000000000013 y[1] (closed_form) -0.00338241607719905 y[1] (numeric) -0.0033824160771989695 absolute error 8.066464163292153e-17 relative error 2.3848231498390707e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.119999999999987 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1199999999999464 Order of pole (three term test) 2.842696337210336e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8790000000000133 y[1] (closed_form) -0.003377000746774719 y[1] (numeric) -0.0033770007467746384 absolute error 8.066464163292153e-17 relative error 2.388647432487604e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1209999999999867 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.120999999999981 Order of pole (three term test) 9.647238057890072e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8780000000000134 y[1] (closed_form) -0.003371595817110559 y[1] (numeric) -0.003371595817110477 absolute error 8.196568423990414e-17 relative error 2.4310649522085456e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1219999999999866 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.121999999999976 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8770000000000135 y[1] (closed_form) -0.003366201264908871 y[1] (numeric) -0.003366201264908789 absolute error 8.196568423990414e-17 relative error 2.4349608888321502e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1229999999999865 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.12299999999997 Order of pole (three term test) 9.999610112217056e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8760000000000137 y[1] (closed_form) -0.003360817066931584 y[1] (numeric) -0.0033608170669315006 absolute error 8.326672684688674e-17 relative error 2.4775739110045945e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1239999999999863 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1239999999999633 Order of pole (three term test) 2.0361011880845843e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8750000000000138 y[1] (closed_form) -0.003355443200000074 y[1] (numeric) -0.00335544319999999 absolute error 8.370040771588094e-17 relative error 2.494466534730169e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1249999999999862 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1249999999999756 Order of pole (three term test) 1.0364614753207104e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.874000000000014 y[1] (closed_form) -0.0033500796409950003 y[1] (numeric) -0.003350079640994916 absolute error 8.413408858487514e-17 relative error 2.5114056261625664e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.125999999999986 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1259999999999586 Order of pole (three term test) 2.110398512480595e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.873000000000014 y[1] (closed_form) -0.003344726366856131 y[1] (numeric) -0.0033447263668560465 absolute error 8.456776945386935e-17 relative error 2.528391269667858e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.126999999999986 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1269999999999607 Order of pole (three term test) 1.0742696337904936e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.872000000000014 y[1] (closed_form) -0.0033393833545821744 y[1] (numeric) -0.0033393833545820894 absolute error 8.500145032286355e-17 relative error 2.54542354971698e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.127999999999986 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.127999999999948 Order of pole (three term test) 2.1873568047481915e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.871000000000014 y[1] (closed_form) -0.0033340505812306086 y[1] (numeric) -0.003334050581230523 absolute error 8.543513119185775e-17 relative error 2.562502550885817e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.128999999999986 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.128999999999987 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8700000000000143 y[1] (closed_form) -0.0033287280239175147 y[1] (numeric) -0.003328728023917428 absolute error 8.673617379884035e-17 relative error 2.60568520995483e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1299999999999857 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1299999999999732 Order of pole (three term test) 1.1335347871488145e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8690000000000144 y[1] (closed_form) -0.003323415659817403 y[1] (numeric) -0.003323415659817317 absolute error 8.630249292984615e-17 relative error 2.5968010554114024e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1309999999999856 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1309999999999696 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8680000000000145 y[1] (closed_form) -0.0033181134661630558 y[1] (numeric) -0.0033181134661629686 absolute error 8.716985466783456e-17 relative error 2.627090832087625e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1319999999999855 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1319999999999757 Order of pole (three term test) 1.174816776810928e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8670000000000146 y[1] (closed_form) -0.003312821420245348 y[1] (numeric) -0.0033128214202452605 absolute error 8.760353553682876e-17 relative error 2.644378444351547e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1329999999999854 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1329999999999703 Order of pole (three term test) 1.1960079419489556e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8660000000000148 y[1] (closed_form) -0.003307539499413089 y[1] (numeric) -0.0033075394994130005 absolute error 8.847089727481716e-17 relative error 2.674825116692212e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1339999999999852 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.133999999999971 Order of pole (three term test) 1.217574403611567e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.865000000000015 y[1] (closed_form) -0.0033022676810728507 y[1] (numeric) -0.003302267681072762 absolute error 8.847089727481716e-17 relative error 2.679095270861703e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.134999999999985 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1349999999999647 Order of pole (three term test) 1.2395226853745521e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.864000000000015 y[1] (closed_form) -0.003297005942688808 y[1] (numeric) -0.0032970059426887187 absolute error 8.933825901280557e-17 relative error 2.7096784344873675e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.135999999999985 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1359999999999753 Order of pole (three term test) 1.2618594220738156e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.863000000000015 y[1] (closed_form) -0.003291754261782567 y[1] (numeric) -0.0032917542617824772 absolute error 8.977193988179977e-17 relative error 2.7271762331731902e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.136999999999985 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1369999999999676 Order of pole (three term test) 1.2845913616664826e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.862000000000015 y[1] (closed_form) -0.0032865126159330057 y[1] (numeric) -0.003286512615932915 absolute error 9.063930161978817e-17 relative error 2.7579173492403175e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.137999999999985 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1379999999999746 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8610000000000153 y[1] (closed_form) -0.0032812809827761067 y[1] (numeric) -0.003281280982776015 absolute error 9.150666335777657e-17 relative error 2.7887481699405687e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1389999999999847 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1389999999999505 Order of pole (three term test) 2.6625368366957767e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8600000000000154 y[1] (closed_form) -0.003276059340004794 y[1] (numeric) -0.0032760593400047028 absolute error 9.107298248878237e-17 relative error 2.7799552156051333e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1399999999999846 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1399999999999784 Order of pole (three term test) 1.355227614137778e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8590000000000155 y[1] (closed_form) -0.0032708476653687743 y[1] (numeric) -0.0032708476653686815 absolute error 9.280770596475918e-17 relative error 2.837420615682984e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1409999999999845 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1409999999999783 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8580000000000156 y[1] (closed_form) -0.003265645936674365 y[1] (numeric) -0.003265645936674272 absolute error 9.280770596475918e-17 relative error 2.8419402398311356e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1419999999999844 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1419999999999764 Order of pole (three term test) 7.022117204960846e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8570000000000157 y[1] (closed_form) -0.003260454131784343 y[1] (numeric) -0.0032604541317842496 absolute error 9.324138683375338e-17 relative error 2.8597668626831852e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1429999999999843 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1429999999999434 Order of pole (three term test) 2.8593497642717046e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.856000000000016 y[1] (closed_form) -0.003255272228617776 y[1] (numeric) -0.003255272228617682 absolute error 9.410874857174178e-17 relative error 2.890964010457011e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.143999999999984 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1439999999999495 Order of pole (three term test) 2.183058138209629e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.855000000000016 y[1] (closed_form) -0.0032501002051498647 y[1] (numeric) -0.0032501002051497697 absolute error 9.497611030973019e-17 relative error 2.9222517557839657e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.144999999999984 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1449999999999667 Order of pole (three term test) 1.4815227947002706e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.854000000000016 y[1] (closed_form) -0.0032449380394117787 y[1] (numeric) -0.0032449380394116837 absolute error 9.497611030973019e-17 relative error 2.9269005804174566e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.145999999999984 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.145999999999949 Order of pole (three term test) 2.2622022672293043e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.853000000000016 y[1] (closed_form) -0.003239785709490503 y[1] (numeric) -0.003239785709490407 absolute error 9.584347204771859e-17 relative error 2.9583275142846153e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.146999999999984 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1469999999999385 Order of pole (three term test) 3.0704324619897254e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8520000000000163 y[1] (closed_form) -0.0032346431935286715 y[1] (numeric) -0.0032346431935285757 absolute error 9.584347204771859e-17 relative error 2.963030736727502e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1479999999999837 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1479999999999717 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8510000000000164 y[1] (closed_form) -0.003229510469724414 y[1] (numeric) -0.0032295104697243173 absolute error 9.6710833785707e-17 relative error 2.9945973141235765e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1489999999999836 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1489999999999703 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8500000000000165 y[1] (closed_form) -0.0032243875163311918 y[1] (numeric) -0.003224387516331095 absolute error 9.6710833785707e-17 relative error 2.999355173529129e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1499999999999835 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.14999999999996 Order of pole (three term test) 8.096791701211157e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8490000000000166 y[1] (closed_form) -0.0032192743116576457 y[1] (numeric) -0.0032192743116575486 absolute error 9.71445146547012e-17 relative error 3.017590464500685e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1509999999999834 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.15099999999995 Order of pole (three term test) 2.47259955625245e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8480000000000167 y[1] (closed_form) -0.0032141708340674346 y[1] (numeric) -0.003214170834067337 absolute error 9.75781955236954e-17 relative error 3.0358745866725814e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1519999999999833 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1519999999999655 Order of pole (three term test) 1.6779524282320633e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.847000000000017 y[1] (closed_form) -0.0032090770619790793 y[1] (numeric) -0.0032090770619789817 absolute error 9.75781955236954e-17 relative error 3.040693434252329e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.152999999999983 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1529999999999663 Order of pole (three term test) 1.7080253499247782e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.846000000000017 y[1] (closed_form) -0.0032039929738658084 y[1] (numeric) -0.00320399297386571 absolute error 9.84455572616838e-17 relative error 3.0725896737190213e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.153999999999983 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.153999999999972 Order of pole (three term test) 8.693137282969175e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.845000000000017 y[1] (closed_form) -0.003198918548255398 y[1] (numeric) -0.003198918548255299 absolute error 9.8879238130678e-17 relative error 3.0910208134122085e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.154999999999983 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1549999999999843 Order of pole (three term test) 8.848839439675455e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.844000000000017 y[1] (closed_form) -0.00319385376373002 y[1] (numeric) -0.0031938537637299204 absolute error 9.974659986866641e-17 relative error 3.1230797415149932e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.155999999999983 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1559999999999797 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8430000000000173 y[1] (closed_form) -0.003188798598926085 y[1] (numeric) -0.0031887985989259853 absolute error 9.974659986866641e-17 relative error 3.1280307229894922e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1569999999999827 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1569999999999805 Order of pole (three term test) 9.168505301995765e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8420000000000174 y[1] (closed_form) -0.00318375303253409 y[1] (numeric) -0.00318375303253399 absolute error 1.0018028073766061e-16 relative error 3.1466096683360737e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 3.1579999999999826 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1579999999999737 Order of pole (three term test) 9.332564328300105e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8410000000000175 y[1] (closed_form) -0.003178717043298462 y[1] (numeric) -0.003178717043298361 absolute error 1.0104764247564901e-16 relative error 3.178881325366249e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.1589999999999825 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1589999999999687 Order of pole (three term test) 9.499505645721416e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8400000000000176 y[1] (closed_form) -0.0031736906100174054 y[1] (numeric) -0.0031736906100173043 absolute error 1.0104764247564901e-16 relative error 3.183915979607566e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.1599999999999824 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.159999999999969 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8390000000000177 y[1] (closed_form) -0.0031686737115427504 y[1] (numeric) -0.003168673711542648 absolute error 1.0234868508263162e-16 relative error 3.2300165431927834e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.1609999999999823 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1609999999999543 Order of pole (three term test) 1.9684469600373613e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.838000000000018 y[1] (closed_form) -0.003163666326779797 y[1] (numeric) -0.003163666326779694 absolute error 1.0321604682062002e-16 relative error 3.2625452926851673e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.161999999999982 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.161999999999963 Order of pole (three term test) 1.0018124576560032e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.837000000000018 y[1] (closed_form) -0.003158668434687166 y[1] (numeric) -0.003158668434687063 absolute error 1.0278236595162582e-16 relative error 3.2539776832197132e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.162999999999982 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.162999999999976 Order of pole (three term test) 1.0197100550843902e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.836000000000018 y[1] (closed_form) -0.0031536800142766483 y[1] (numeric) -0.0031536800142765446 absolute error 1.0364972768961422e-16 relative error 3.2866279147026302e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.163999999999982 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.163999999999966 Order of pole (three term test) 1.0379215872601812e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.835000000000018 y[1] (closed_form) -0.0031487010446130505 y[1] (numeric) -0.0031487010446129456 absolute error 1.0495077029659683e-16 relative error 3.333144963893973e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.164999999999982 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1649999999999507 Order of pole (three term test) 1.0564524589486474e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8340000000000183 y[1] (closed_form) -0.003143731504814044 y[1] (numeric) -0.0031437315048139392 absolute error 1.0495077029659683e-16 relative error 3.338413924213442e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.1659999999999817 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1659999999999453 Order of pole (three term test) 2.1506163324248143e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8330000000000184 y[1] (closed_form) -0.003138771374050021 y[1] (numeric) -0.0031387713740499154 absolute error 1.0538445116559103e-16 relative error 3.357506444619167e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.1669999999999816 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1669999999999656 Order of pole (three term test) 1.094494297924043e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8320000000000185 y[1] (closed_form) -0.0031338206315439376 y[1] (numeric) -0.003133820631543831 absolute error 1.0668549377257364e-16 relative error 3.40432674093453e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.1679999999999815 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1679999999999446 Order of pole (three term test) 2.2280330746065356e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8310000000000186 y[1] (closed_form) -0.0031288792565711664 y[1] (numeric) -0.0031288792565710597 absolute error 1.0668549377257364e-16 relative error 3.409703124481917e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.1689999999999814 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1689999999999716 Order of pole (three term test) 1.133880663479142e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8300000000000187 y[1] (closed_form) -0.003123947228459353 y[1] (numeric) -0.003123947228459245 absolute error 1.0798653637955624e-16 relative error 3.456733692419392e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.1699999999999813 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.169999999999965 Order of pole (three term test) 2.3081851061549775e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.829000000000019 y[1] (closed_form) -0.0031190245265882597 y[1] (numeric) -0.0031190245265881513 absolute error 1.0842021724855044e-16 relative error 3.4760937698411025e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.170999999999981 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1709999999999585 Order of pole (three term test) 1.1746581818342514e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.828000000000019 y[1] (closed_form) -0.0031141111303896233 y[1] (numeric) -0.0031141111303895144 absolute error 1.0885389811754465e-16 relative error 3.495504609815429e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.171999999999981 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1719999999999837 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.827000000000019 y[1] (closed_form) -0.003109207019347006 y[1] (numeric) -0.003109207019346897 absolute error 1.0885389811754465e-16 relative error 3.5010180229300427e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.172999999999981 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.172999999999952 Order of pole (three term test) 1.216875065180456e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.826000000000019 y[1] (closed_form) -0.0031043121729956488 y[1] (numeric) -0.00310431217299554 absolute error 1.0885389811754465e-16 relative error 3.506538390837835e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.173999999999981 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1739999999999635 Order of pole (three term test) 1.2385387816805844e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8250000000000193 y[1] (closed_form) -0.0030994265709223265 y[1] (numeric) -0.0030994265709222164 absolute error 1.1015494072452725e-16 relative error 3.554042601233407e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.1749999999999807 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.174999999999962 Order of pole (three term test) 2.5211623291480416e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8240000000000194 y[1] (closed_form) -0.0030945501927651963 y[1] (numeric) -0.0030945501927650857 absolute error 1.1058862159352145e-16 relative error 3.5736573881421778e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.1759999999999806 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.175999999999964 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8230000000000195 y[1] (closed_form) -0.0030896830182136595 y[1] (numeric) -0.0030896830182135485 absolute error 1.1102230246251565e-16 relative error 3.593323386510524e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.1769999999999805 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1769999999999574 Order of pole (three term test) 1.3058280245598664e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8220000000000196 y[1] (closed_form) -0.0030848250270082123 y[1] (numeric) -0.0030848250270081004 absolute error 1.1188966420050406e-16 relative error 3.627099210518892e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.1779999999999804 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1779999999999577 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8210000000000197 y[1] (closed_form) -0.0030799761989403016 y[1] (numeric) -0.0030799761989401893 absolute error 1.1232334506949826e-16 relative error 3.6468900346744335e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.1789999999999803 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.178999999999967 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.82000000000002 y[1] (closed_form) -0.0030751365138521826 y[1] (numeric) -0.00307513651385207 absolute error 1.1275702593849246e-16 relative error 3.666732368809319e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.17999999999998 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.179999999999946 Order of pole (three term test) 1.3767043150235424e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.81900000000002 y[1] (closed_form) -0.0030703059516367735 y[1] (numeric) -0.0030703059516366603 absolute error 1.1319070680748666e-16 relative error 3.6866263033866365e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.18099999999998 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.180999999999975 Order of pole (three term test) 1.4011590122207554e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.81800000000002 y[1] (closed_form) -0.0030654844922375127 y[1] (numeric) -0.0030654844922373987 absolute error 1.1405806854547507e-16 relative error 3.720719150081999e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.18199999999998 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.181999999999956 Order of pole (three term test) 2.1390603170784235e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.81700000000002 y[1] (closed_form) -0.0030606721156482154 y[1] (numeric) -0.003060672115648101 absolute error 1.1449174941446927e-16 relative error 3.740738801425687e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.18299999999998 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.182999999999994 Order of pole (three term test) 7.256776066836416e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8160000000000203 y[1] (closed_form) -0.003055868801912933 y[1] (numeric) -0.003055868801912818 absolute error 1.1492543028346347e-16 relative error 3.7608103532298796e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.1839999999999797 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1839999999999735 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8150000000000204 y[1] (closed_form) -0.003051074531125811 y[1] (numeric) -0.003051074531125695 absolute error 1.1579279202145187e-16 relative error 3.79514793362736e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.1849999999999796 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1849999999999477 Order of pole (three term test) 1.5033164443102197e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8140000000000205 y[1] (closed_form) -0.003046289283430944 y[1] (numeric) -0.003046289283430828 absolute error 1.1579279202145187e-16 relative error 3.801109522042435e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.1859999999999795 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.185999999999958 Order of pole (three term test) 1.5299778961953058e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8130000000000206 y[1] (closed_form) -0.003041513039022241 y[1] (numeric) -0.0030415130390221245 absolute error 1.1666015375944028e-16 relative error 3.835596042584883e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.1869999999999794 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1869999999999408 Order of pole (three term test) 1.5571036008831636e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8120000000000207 y[1] (closed_form) -0.00303674577814328 y[1] (numeric) -0.0030367457781431623 absolute error 1.1752751549742868e-16 relative error 3.870179596307436e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.1879999999999793 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.187999999999977 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.811000000000021 y[1] (closed_form) -0.0030319874810871682 y[1] (numeric) -0.00303198748108705 absolute error 1.1839487723541708e-16 relative error 3.904860358887916e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.188999999999979 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1889999999999685 Order of pole (three term test) 8.063898198428273e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.810000000000021 y[1] (closed_form) -0.0030272381281964047 y[1] (numeric) -0.003027238128196286 absolute error 1.1882855810441129e-16 relative error 3.925312548015773e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.189999999999979 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1899999999999724 Order of pole (three term test) 8.206731220666525e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.809000000000021 y[1] (closed_form) -0.00302249769986274 y[1] (numeric) -0.003022497699862621 absolute error 1.192622389734055e-16 relative error 3.945817360880755e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.190999999999979 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1909999999999514 Order of pole (three term test) 2.5056144696928655e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.808000000000021 y[1] (closed_form) -0.003017766176527037 y[1] (numeric) -0.0030177661765269175 absolute error 1.196959198423997e-16 relative error 3.966374889261647e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.191999999999979 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1919999999999664 Order of pole (three term test) 8.499891633257025e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8070000000000213 y[1] (closed_form) -0.0030130435386791343 y[1] (numeric) -0.0030130435386790137 absolute error 1.205632815803881e-16 relative error 4.0013786735136575e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.1929999999999787 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1929999999999574 Order of pole (three term test) 8.650304533517323e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8060000000000214 y[1] (closed_form) -0.003008329766857704 y[1] (numeric) -0.003008329766857583 absolute error 1.209969624493823e-16 relative error 4.022064461894663e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.1939999999999786 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.19399999999997 Order of pole (three term test) 8.803330764872745e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8050000000000215 y[1] (closed_form) -0.00300362484165012 y[1] (numeric) -0.0030036248416499987 absolute error 1.214306433183765e-16 relative error 4.0428032700537055e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.1949999999999785 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.194999999999973 Order of pole (three term test) 8.959014892731663e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8040000000000216 y[1] (closed_form) -0.0029989287436923166 y[1] (numeric) -0.002998928743692195 absolute error 1.214306433183765e-16 relative error 4.049133997391004e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.1959999999999784 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.195999999999981 Order of pole (three term test) 9.117402228172405e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8030000000000217 y[1] (closed_form) -0.0029942414536686538 y[1] (numeric) -0.0029942414536685323 absolute error 1.214306433183765e-16 relative error 4.055472653001823e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.1969999999999783 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1969999999999494 Order of pole (three term test) 9.278538840180133e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.802000000000022 y[1] (closed_form) -0.0029895629523117822 y[1] (numeric) -0.002989562952311659 absolute error 1.231653667943533e-16 relative error 4.119845233535272e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.197999999999978 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.197999999999962 Order of pole (three term test) 9.442471568081725e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.801000000000022 y[1] (closed_form) -0.0029848932204025016 y[1] (numeric) -0.0029848932204023784 absolute error 1.231653667943533e-16 relative error 4.12629054709518e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.198999999999978 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.198999999999964 Order of pole (three term test) 9.609248034179116e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.800000000000022 y[1] (closed_form) -0.002980232238769634 y[1] (numeric) -0.00298023223876951 absolute error 1.240327285323417e-16 relative error 4.161847755312776e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.199999999999978 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.199999999999933 Order of pole (three term test) 1.9557833313174391e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.799000000000022 y[1] (closed_form) -0.0029755799882898817 y[1] (numeric) -0.002975579988289758 absolute error 1.235990476633475e-16 relative error 4.153780041193988e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.200999999999978 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.200999999999972 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7980000000000222 y[1] (closed_form) -0.0029709364498876983 y[1] (numeric) -0.002970936449887574 absolute error 1.244664094013359e-16 relative error 4.189467243772271e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2019999999999778 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.201999999999969 Order of pole (three term test) 1.0127128100332496e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7970000000000224 y[1] (closed_form) -0.002966301604535149 y[1] (numeric) -0.0029663016045350242 absolute error 1.249000902703301e-16 relative error 4.210633540411791e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2029999999999776 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2029999999999554 Order of pole (three term test) 1.0305771855408921e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7960000000000225 y[1] (closed_form) -0.002961675433251782 y[1] (numeric) -0.0029616754332516563 absolute error 1.2576745200831851e-16 relative error 4.246496783418016e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2039999999999775 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2039999999999442 Order of pole (three term test) 3.1462528984271666e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7950000000000226 y[1] (closed_form) -0.002957057917104491 y[1] (numeric) -0.0029570579171043646 absolute error 1.2620113287731272e-16 relative error 4.267793746863338e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2049999999999774 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2049999999999486 Order of pole (three term test) 2.134478823091024e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7940000000000227 y[1] (closed_form) -0.0029524490372073854 y[1] (numeric) -0.0029524490372072588 absolute error 1.2663481374630692e-16 relative error 4.289144779484025e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2059999999999773 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2059999999999778 Order of pole (three term test) 1.0860478691866756e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.793000000000023 y[1] (closed_form) -0.002947848774721658 y[1] (numeric) -0.0029478487747215307 absolute error 1.2706849461530112e-16 relative error 4.310549974779463e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.206999999999977 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2069999999999603 Order of pole (three term test) 1.1051817756661006e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.792000000000023 y[1] (closed_form) -0.0029432571108554506 y[1] (numeric) -0.0029432571108553222 absolute error 1.2836953722228372e-16 relative error 4.361478878240896e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.207999999999977 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2079999999999647 Order of pole (three term test) 1.124646658206113e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.791000000000023 y[1] (closed_form) -0.002938674026863723 y[1] (numeric) -0.0029386740268635943 absolute error 1.2880321809127793e-16 relative error 4.383038639666413e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.208999999999977 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.208999999999956 Order of pole (three term test) 1.1444481361326645e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.790000000000023 y[1] (closed_form) -0.0029340995040481243 y[1] (numeric) -0.002934099504047995 absolute error 1.2923689896027213e-16 relative error 4.404652902260687e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.209999999999977 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2099999999999684 Order of pole (three term test) 1.164591922380741e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7890000000000232 y[1] (closed_form) -0.0029295335237568593 y[1] (numeric) -0.0029295335237567296 absolute error 1.2967057982926633e-16 relative error 4.426321760024635e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2109999999999768 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2109999999999683 Order of pole (three term test) 1.185083825023791e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7880000000000233 y[1] (closed_form) -0.0029249760673845586 y[1] (numeric) -0.002924976067384429 absolute error 1.2967057982926633e-16 relative error 4.433218489381165e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2119999999999767 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.211999999999995 Order of pole (three term test) 1.2059297488277504e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7870000000000235 y[1] (closed_form) -0.0029204271163721512 y[1] (numeric) -0.002920427116372021 absolute error 1.3010426069826053e-16 relative error 4.45497372520908e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2129999999999765 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2129999999999317 Order of pole (three term test) 3.681407090489459e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7860000000000236 y[1] (closed_form) -0.0029158866522067317 y[1] (numeric) -0.0029158866522066007 absolute error 1.3097162243624894e-16 relative error 4.491656846027609e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2139999999999764 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.213999999999965 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7850000000000237 y[1] (closed_form) -0.002911354656421431 y[1] (numeric) -0.0029113546564213 absolute error 1.3140530330524314e-16 relative error 4.513545026725237e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2149999999999763 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2149999999999586 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.784000000000024 y[1] (closed_form) -0.002906831110595291 y[1] (numeric) -0.0029068311105951597 absolute error 1.3140530330524314e-16 relative error 4.520568904958933e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.215999999999976 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2159999999999695 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.783000000000024 y[1] (closed_form) -0.0029023159963531336 y[1] (numeric) -0.0029023159963530018 absolute error 1.3183898417423734e-16 relative error 4.542544104084388e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.216999999999976 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.216999999999989 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.782000000000024 y[1] (closed_form) -0.002897809295365433 y[1] (numeric) -0.0028978092953653007 absolute error 1.3227266504323154e-16 relative error 4.564574530655962e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.217999999999976 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2179999999999596 Order of pole (three term test) 1.3387829894016473e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.781000000000024 y[1] (closed_form) -0.0028933109893481885 y[1] (numeric) -0.002893310989348056 absolute error 1.3270634591222574e-16 relative error 4.586660279547831e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.218999999999976 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2189999999999612 Order of pole (three term test) 1.362280854959571e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7800000000000242 y[1] (closed_form) -0.002888821060062798 y[1] (numeric) -0.0028888210600626642 absolute error 1.3357370765021415e-16 relative error 4.623813828306503e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2199999999999758 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2199999999999527 Order of pole (three term test) 6.930918278036855e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7790000000000243 y[1] (closed_form) -0.0028843394893159277 y[1] (numeric) -0.002884339489315794 absolute error 1.3357370765021415e-16 relative error 4.6309981243537156e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2209999999999757 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.220999999999946 Order of pole (three term test) 2.1157473607650975e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7780000000000244 y[1] (closed_form) -0.002879866258959393 y[1] (numeric) -0.002879866258959259 absolute error 1.3400738851920835e-16 relative error 4.653250410580885e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2219999999999756 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.221999999999977 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7770000000000246 y[1] (closed_form) -0.002875401350890025 y[1] (numeric) -0.0028754013508898906 absolute error 1.3444106938820255e-16 relative error 4.675558399754835e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2229999999999754 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2229999999999714 Order of pole (three term test) 1.4603907299276806e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7760000000000247 y[1] (closed_form) -0.002870944747049549 y[1] (numeric) -0.0028709447470494135 absolute error 1.3530843112619095e-16 relative error 4.7130280464382514e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2239999999999753 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.223999999999975 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.775000000000025 y[1] (closed_form) -0.002866496429424456 y[1] (numeric) -0.002866496429424321 absolute error 1.3530843112619095e-16 relative error 4.7203418688143486e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.224999999999975 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2249999999999575 Order of pole (three term test) 1.512015423392944e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.774000000000025 y[1] (closed_form) -0.0028620563800458845 y[1] (numeric) -0.0028620563800457488 absolute error 1.3574211199518516e-16 relative error 4.742817539918936e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.225999999999975 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2259999999999796 Order of pole (three term test) 7.692478553938548e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.773000000000025 y[1] (closed_form) -0.0028576245809894887 y[1] (numeric) -0.002857624580989352 absolute error 1.3660947373317356e-16 relative error 4.780525568053127e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.226999999999975 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2269999999999626 Order of pole (three term test) 7.827156651227038e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.772000000000025 y[1] (closed_form) -0.002853201014375317 y[1] (numeric) -0.00285320101437518 absolute error 1.3704315460216776e-16 relative error 4.803137034919783e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.227999999999975 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.227999999999979 Order of pole (three term test) 7.964149832539981e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.771000000000025 y[1] (closed_form) -0.0028487856623676906 y[1] (numeric) -0.002848785662367553 absolute error 1.3747683547116196e-16 relative error 4.825804808245975e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.228999999999975 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.228999999999969 Order of pole (three term test) 8.103497157864937e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7700000000000253 y[1] (closed_form) -0.002844378507175078 y[1] (numeric) -0.0028443785071749395 absolute error 1.3834419720915037e-16 relative error 4.863775930670642e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2299999999999747 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2299999999999947 Order of pole (three term test) 8.245238333802218e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7690000000000254 y[1] (closed_form) -0.0028399795310499703 y[1] (numeric) -0.002839979531049832 absolute error 1.3834419720915037e-16 relative error 4.871309658982051e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2309999999999746 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.230999999999989 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7680000000000256 y[1] (closed_form) -0.0028355887162887644 y[1] (numeric) -0.0028355887162886256 absolute error 1.3877787807814457e-16 relative error 4.894146929029182e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2319999999999744 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.231999999999942 Order of pole (three term test) 2.5608193080412613e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7670000000000257 y[1] (closed_form) -0.002831206045231635 y[1] (numeric) -0.002831206045231496 absolute error 1.3921155894713877e-16 relative error 4.917040890810516e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2329999999999743 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2329999999999863 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7660000000000258 y[1] (closed_form) -0.002826831500262416 y[1] (numeric) -0.0028268315002622766 absolute error 1.3921155894713877e-16 relative error 4.9246500519827835e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2339999999999742 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2339999999999707 Order of pole (three term test) 8.836958899759001e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.765000000000026 y[1] (closed_form) -0.002822465063808479 y[1] (numeric) -0.0028224650638083385 absolute error 1.4051260155412137e-16 relative error 4.9783645989410905e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.234999999999974 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2349999999999803 Order of pole (three term test) 8.991288303560571e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.764000000000026 y[1] (closed_form) -0.0028181067183406087 y[1] (numeric) -0.002818106718340468 absolute error 1.4051260155412137e-16 relative error 4.986063893167952e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.235999999999974 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.235999999999962 Order of pole (three term test) 9.148263976228827e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.763000000000026 y[1] (closed_form) -0.0028137564463728893 y[1] (numeric) -0.002813756446372748 absolute error 1.4137996329210978e-16 relative error 5.024598467801203e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.236999999999974 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2369999999999717 Order of pole (three term test) 9.307930454168287e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.762000000000026 y[1] (closed_form) -0.0028094142304625766 y[1] (numeric) -0.002809414230462435 absolute error 1.4181364416110398e-16 relative error 5.047801161659028e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.237999999999974 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2379999999999596 Order of pole (three term test) 9.470333009216585e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7610000000000263 y[1] (closed_form) -0.0028050800532099826 y[1] (numeric) -0.002805080053209841 absolute error 1.4137996329210978e-16 relative error 5.0401400534121e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2389999999999737 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.238999999999976 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7600000000000264 y[1] (closed_form) -0.002800753897258358 y[1] (numeric) -0.0028007538972582152 absolute error 1.4268100589909238e-16 relative error 5.0943785542443416e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2399999999999736 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.239999999999952 Order of pole (three term test) 9.803531186815195e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7590000000000265 y[1] (closed_form) -0.002796435745293765 y[1] (numeric) -0.0027964357452936214 absolute error 1.4354836763708079e-16 relative error 5.1332617915024205e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2409999999999735 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.240999999999954 Order of pole (three term test) 1.9948842276718496e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7580000000000267 y[1] (closed_form) -0.0027921255800449655 y[1] (numeric) -0.0027921255800448224 absolute error 1.4311468676808659e-16 relative error 5.1256536522179565e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2419999999999733 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2419999999999574 Order of pole (three term test) 2.0296471699560202e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7570000000000268 y[1] (closed_form) -0.0027878233842833036 y[1] (numeric) -0.0027878233842831596 absolute error 1.43982048506075e-16 relative error 5.164676116779544e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2429999999999732 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.242999999999941 Order of pole (three term test) 2.06500489051621e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.756000000000027 y[1] (closed_form) -0.0027835291408225805 y[1] (numeric) -0.0027835291408224356 absolute error 1.448494102440634e-16 relative error 5.203804340315184e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.243999999999973 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2439999999999563 Order of pole (three term test) 1.0504836888064426e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.755000000000027 y[1] (closed_form) -0.0027792428325189417 y[1] (numeric) -0.0027792428325187973 absolute error 1.444157293750692e-16 relative error 5.1962256656853294e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.244999999999973 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.244999999999944 Order of pole (three term test) 2.1375447840844808e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.754000000000027 y[1] (closed_form) -0.0027749644422707625 y[1] (numeric) -0.0027749644422706173 absolute error 1.452830911130576e-16 relative error 5.235493792279802e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.245999999999973 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2459999999999902 Order of pole (three term test) 1.0873737150036723e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.753000000000027 y[1] (closed_form) -0.002770693953018523 y[1] (numeric) -0.002770693953018377 absolute error 1.457167719820518e-16 relative error 5.2592157218700086e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.246999999999973 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2469999999999617 Order of pole (three term test) 1.1062929026987214e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7520000000000273 y[1] (closed_form) -0.0027664313477446987 y[1] (numeric) -0.002766431347744552 absolute error 1.465841337200402e-16 relative error 5.298672379473333e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2479999999999727 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.247999999999951 Order of pole (three term test) 1.1255352864776929e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7510000000000274 y[1] (closed_form) -0.0027621766094736394 y[1] (numeric) -0.002762176609473493 absolute error 1.465841337200402e-16 relative error 5.306834226938635e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2489999999999726 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2489999999999535 Order of pole (three term test) 1.145106285427198e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7500000000000275 y[1] (closed_form) -0.0027579297212714576 y[1] (numeric) -0.0027579297212713106 absolute error 1.470178145890344e-16 relative error 5.330730999238676e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2499999999999725 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2499999999999725 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7490000000000276 y[1] (closed_form) -0.0027536906662459096 y[1] (numeric) -0.002753690666245762 absolute error 1.474514954580286e-16 relative error 5.354686249456202e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2509999999999724 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2509999999999786 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7480000000000278 y[1] (closed_form) -0.0027494594275462815 y[1] (numeric) -0.0027494594275461336 absolute error 1.478851763270228e-16 relative error 5.378700076291032e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2519999999999722 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2519999999999443 Order of pole (three term test) 1.205846510106901e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.747000000000028 y[1] (closed_form) -0.002745235988363274 y[1] (numeric) -0.002745235988363126 absolute error 1.478851763270228e-16 relative error 5.386974997919681e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.252999999999972 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2529999999999513 Order of pole (three term test) 2.4535759307409327e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.746000000000028 y[1] (closed_form) -0.0027410203319288896 y[1] (numeric) -0.0027410203319287413 absolute error 1.48318857196017e-16 relative error 5.411081978061915e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.253999999999972 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2539999999999445 Order of pole (three term test) 1.2480864976403873e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.745000000000028 y[1] (closed_form) -0.0027368124415163156 y[1] (numeric) -0.0027368124415161673 absolute error 1.48318857196017e-16 relative error 5.419401598227234e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.254999999999972 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2549999999999706 Order of pole (three term test) 1.2697480829575709e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.744000000000028 y[1] (closed_form) -0.0027326123004398142 y[1] (numeric) -0.0027326123004396646 absolute error 1.496198998029996e-16 relative error 5.47534312785309e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.255999999999972 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2559999999999643 Order of pole (three term test) 1.2917787954954052e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7430000000000283 y[1] (closed_form) -0.0027284198920546022 y[1] (numeric) -0.002728419892054453 absolute error 1.491862189340054e-16 relative error 5.4678614302896985e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2569999999999717 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.25699999999996 Order of pole (three term test) 1.3141848091403791e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7420000000000284 y[1] (closed_form) -0.002724235199756748 y[1] (numeric) -0.002724235199756598 absolute error 1.496198998029996e-16 relative error 5.492179963622798e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2579999999999716 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.25799999999996 Order of pole (three term test) 1.336972399097532e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7410000000000285 y[1] (closed_form) -0.002720058206983049 y[1] (numeric) -0.002720058206982899 absolute error 1.5005358067199381e-16 relative error 5.5165577077273524e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2589999999999715 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2589999999999506 Order of pole (three term test) 1.360147943521299e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7400000000000286 y[1] (closed_form) -0.0027158888972109267 y[1] (numeric) -0.0027158888972107762 absolute error 1.5048726154098802e-16 relative error 5.5409947621764065e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2599999999999714 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2599999999999785 Order of pole (three term test) 6.918589625860723e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7390000000000287 y[1] (closed_form) -0.00271172725395831 y[1] (numeric) -0.002711727253958159 absolute error 1.5092094240998222e-16 relative error 5.565491226659423e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2609999999999713 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2609999999999393 Order of pole (three term test) 2.1115333996487402e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.738000000000029 y[1] (closed_form) -0.002707573260783524 y[1] (numeric) -0.0027075732607833728 absolute error 1.5135462327897642e-16 relative error 5.5900472009823674e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.261999999999971 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2619999999999445 Order of pole (three term test) 2.148101496524257e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.737000000000029 y[1] (closed_form) -0.0027034269012851824 y[1] (numeric) -0.00270342690128503 absolute error 1.5222198501696482e-16 relative error 5.6307046787394175e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.262999999999971 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2629999999999497 Order of pole (three term test) 1.4568609257044378e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.736000000000029 y[1] (closed_form) -0.0026992881591020716 y[1] (numeric) -0.0026992881591019185 absolute error 1.5308934675495323e-16 relative error 5.6714710594618024e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.263999999999971 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2639999999999634 Order of pole (three term test) 7.410378177214984e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.735000000000029 y[1] (closed_form) -0.0026951570179130414 y[1] (numeric) -0.0026951570179128883 absolute error 1.5308934675495323e-16 relative error 5.680164299796377e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.264999999999971 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2649999999999446 Order of pole (three term test) 1.5077188251333055e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7340000000000293 y[1] (closed_form) -0.0026910334614368985 y[1] (numeric) -0.002691033461436745 absolute error 1.5352302762394743e-16 relative error 5.7049839708040125e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2659999999999707 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2659999999999636 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7330000000000294 y[1] (closed_form) -0.002686917473432291 y[1] (numeric) -0.002686917473432137 absolute error 1.5395670849294163e-16 relative error 5.729863682648803e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2669999999999706 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2669999999999653 Order of pole (three term test) 7.801596740167637e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7320000000000295 y[1] (closed_form) -0.0026828090376976024 y[1] (numeric) -0.0026828090376974476 absolute error 1.5482407023093003e-16 relative error 5.770968714336846e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2679999999999705 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.267999999999979 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7310000000000296 y[1] (closed_form) -0.0026787081380708396 y[1] (numeric) -0.002678708138070685 absolute error 1.5482407023093003e-16 relative error 5.779803631105243e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2689999999999704 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2689999999999717 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7300000000000297 y[1] (closed_form) -0.0026746147584295263 y[1] (numeric) -0.002674614758429372 absolute error 1.5439038936193583e-16 relative error 5.772434660930025e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2699999999999703 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2699999999999525 Order of pole (three term test) 1.6426162396745984e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.72900000000003 y[1] (closed_form) -0.002670528882690596 y[1] (numeric) -0.0026705288826904404 absolute error 1.5569143196891844e-16 relative error 5.829984950848279e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.27099999999997 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2709999999999524 Order of pole (three term test) 8.354922745560255e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.72800000000003 y[1] (closed_form) -0.0026664504948102755 y[1] (numeric) -0.00266645049481012 absolute error 1.5569143196891844e-16 relative error 5.8389020261933e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.27199999999997 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.271999999999961 Order of pole (three term test) 8.499169440425427e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.72700000000003 y[1] (closed_form) -0.0026623795787839868 y[1] (numeric) -0.0026623795787838306 absolute error 1.5612511283791264e-16 relative error 5.86411922935576e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.27299999999997 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.272999999999955 Order of pole (three term test) 1.72917226244324e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.72600000000003 y[1] (closed_form) -0.002658316118646234 y[1] (numeric) -0.002658316118646077 absolute error 1.5699247457590104e-16 relative error 5.905711268675246e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.27399999999997 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2739999999999454 Order of pole (three term test) 8.795039043854896e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7250000000000303 y[1] (closed_form) -0.0026542600984704955 y[1] (numeric) -0.0026542600984703385 absolute error 1.5699247457590104e-16 relative error 5.914735886899976e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2749999999999697 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2749999999999337 Order of pole (three term test) 1.7893487964816378e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7240000000000304 y[1] (closed_form) -0.002650211502369122 y[1] (numeric) -0.002650211502368964 absolute error 1.5785983631388945e-16 relative error 5.9564995538194855e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2759999999999696 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2759999999999567 Order of pole (three term test) 9.101018149721532e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7230000000000305 y[1] (closed_form) -0.002646170314493223 y[1] (numeric) -0.0026461703144930646 absolute error 1.5829351718288365e-16 relative error 5.98198522279164e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2769999999999695 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.276999999999938 Order of pole (three term test) 1.851580850643965e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7220000000000306 y[1] (closed_form) -0.002642136519032565 y[1] (numeric) -0.0026421365190324063 absolute error 1.5872719805187785e-16 relative error 6.007532044937512e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2779999999999694 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2779999999999485 Order of pole (three term test) 1.883489139375807e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7210000000000307 y[1] (closed_form) -0.0026381101002154656 y[1] (numeric) -0.002638110100215306 absolute error 1.5959455978986625e-16 relative error 6.049579195986987e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2789999999999693 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2789999999999435 Order of pole (three term test) 1.9159373184736178e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.720000000000031 y[1] (closed_form) -0.0026340910423086833 y[1] (numeric) -0.0026340910423085237 absolute error 1.5959455978986625e-16 relative error 6.058809556179483e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.279999999999969 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2799999999999607 Order of pole (three term test) 9.744671770367215e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.719000000000031 y[1] (closed_form) -0.0026300793296173196 y[1] (numeric) -0.002630079329617159 absolute error 1.6046192152785466e-16 relative error 6.101029718795673e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.280999999999969 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2809999999999753 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.718000000000031 y[1] (closed_form) -0.002626074946484705 y[1] (numeric) -0.0026260749464845448 absolute error 1.6002824065886045e-16 relative error 6.093818490331975e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.281999999999969 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2819999999999636 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.717000000000031 y[1] (closed_form) -0.002622077877292303 y[1] (numeric) -0.002622077877292142 absolute error 1.6089560239684886e-16 relative error 6.136187021378564e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.282999999999969 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.282999999999963 Order of pole (three term test) 1.0256552334051299e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7160000000000313 y[1] (closed_form) -0.002618088106459599 y[1] (numeric) -0.0026180881064594374 absolute error 1.6176296413483726e-16 relative error 6.178667697841035e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2839999999999687 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2839999999999456 Order of pole (three term test) 2.0865955470484844e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7150000000000314 y[1] (closed_form) -0.0026141056184439985 y[1] (numeric) -0.0026141056184438368 absolute error 1.6176296413483726e-16 relative error 6.1880806572430645e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2849999999999686 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2849999999999717 Order of pole (three term test) 1.0612382766201792e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7140000000000315 y[1] (closed_form) -0.002610130397740726 y[1] (numeric) -0.0026101303977405636 absolute error 1.6263032587282567e-16 relative error 6.230735675642682e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2859999999999685 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2859999999999494 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7130000000000316 y[1] (closed_form) -0.0026061624288827158 y[1] (numeric) -0.002606162428882553 absolute error 1.6263032587282567e-16 relative error 6.240222177654011e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2869999999999684 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.286999999999927 Order of pole (three term test) 3.2940990272913147e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7120000000000317 y[1] (closed_form) -0.0026022016964405152 y[1] (numeric) -0.0026022016964403517 absolute error 1.6349768761081407e-16 relative error 6.2830520721917274e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2879999999999683 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2879999999999634 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.711000000000032 y[1] (closed_form) -0.002598248185022175 y[1] (numeric) -0.002598248185022012 absolute error 1.6306400674181987e-16 relative error 6.27592112569601e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.288999999999968 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2889999999999353 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.710000000000032 y[1] (closed_form) -0.0025943018792731554 y[1] (numeric) -0.0025943018792729915 absolute error 1.6393136847980827e-16 relative error 6.318901041914863e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.289999999999968 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.289999999999944 Order of pole (three term test) 1.1555859494761887e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.709000000000032 y[1] (closed_form) -0.0025903627638762137 y[1] (numeric) -0.0025903627638760494 absolute error 1.6436504934880247e-16 relative error 6.345252164714062e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.290999999999968 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2909999999999684 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.708000000000032 y[1] (closed_form) -0.00258643082355131 y[1] (numeric) -0.0025864308235511455 absolute error 1.6436504934880247e-16 relative error 6.354898335271165e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.291999999999968 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2919999999999514 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7070000000000323 y[1] (closed_form) -0.002582506043055503 y[1] (numeric) -0.002582506043055339 absolute error 1.6436504934880247e-16 relative error 6.364556233693581e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2929999999999677 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2929999999999597 Order of pole (three term test) 1.2160988768600786e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7060000000000324 y[1] (closed_form) -0.00257858840718285 y[1] (numeric) -0.002578588407182685 absolute error 1.6523241108679088e-16 relative error 6.407862946506845e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2939999999999676 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.293999999999936 Order of pole (three term test) 2.473906455532633e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7050000000000325 y[1] (closed_form) -0.002574677900764302 y[1] (numeric) -0.0025746779007641365 absolute error 1.6566609195578508e-16 relative error 6.434439504320386e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2949999999999675 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.294999999999957 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7040000000000326 y[1] (closed_form) -0.0025707745086676077 y[1] (numeric) -0.0025707745086674416 absolute error 1.6609977282477928e-16 relative error 6.461079035316333e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2959999999999674 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.29599999999996 Order of pole (three term test) 1.2797211184900605e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7030000000000327 y[1] (closed_form) -0.0025668782157972107 y[1] (numeric) -0.002566878215797044 absolute error 1.6653345369377348e-16 relative error 6.48778164343306e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.2969999999999673 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.29699999999995 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.702000000000033 y[1] (closed_form) -0.00256298900709415 y[1] (numeric) -0.002562989007093983 absolute error 1.6696713456276768e-16 relative error 6.51454743272858e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.297999999999967 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.297999999999954 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.701000000000033 y[1] (closed_form) -0.002559106867535959 y[1] (numeric) -0.0025591068675357917 absolute error 1.6740081543176188e-16 relative error 6.541376507380642e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.298999999999967 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2989999999999586 Order of pole (three term test) 6.733046942913295e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.700000000000033 y[1] (closed_form) -0.0025552317821365693 y[1] (numeric) -0.002555231782136401 absolute error 1.682681771697503e-16 relative error 6.585241242931475e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.299999999999967 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2999999999999523 Order of pole (three term test) 6.848297287855542e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.699000000000033 y[1] (closed_form) -0.0025513637359462064 y[1] (numeric) -0.0025513637359460386 absolute error 1.6783449630075609e-16 relative error 6.578226927667468e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.300999999999967 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3009999999999655 Order of pole (three term test) 6.965484567379929e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6980000000000333 y[1] (closed_form) -0.0025475027140512982 y[1] (numeric) -0.002547502714051129 absolute error 1.691355389077387e-16 relative error 6.639268251799509e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3019999999999667 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3019999999999357 Order of pole (three term test) 7.084640732618249e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6970000000000334 y[1] (closed_form) -0.002543648701574366 y[1] (numeric) -0.002543648701574197 absolute error 1.687018580387445e-16 relative error 6.632278188978225e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3029999999999666 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.302999999999948 Order of pole (three term test) 1.4411596503682977e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6960000000000335 y[1] (closed_form) -0.002539801683673938 y[1] (numeric) -0.0025398016836737686 absolute error 1.695692197767329e-16 relative error 6.676474815602269e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3039999999999665 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.303999999999971 Order of pole (three term test) 1.4657980237337808e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6950000000000336 y[1] (closed_form) -0.0025359616455444428 y[1] (numeric) -0.0025359616455442728 absolute error 1.700029006457271e-16 relative error 6.703685796842143e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3049999999999664 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.304999999999962 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6940000000000337 y[1] (closed_form) -0.002532128572416114 y[1] (numeric) -0.0025321285724159434 absolute error 1.704365815147213e-16 relative error 6.73096079604258e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3059999999999663 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3059999999999494 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.693000000000034 y[1] (closed_form) -0.0025283024495548942 y[1] (numeric) -0.0025283024495547234 absolute error 1.708702623837155e-16 relative error 6.758299918342328e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.306999999999966 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3069999999999546 Order of pole (three term test) 7.711109797192404e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.692000000000034 y[1] (closed_form) -0.002524483262262338 y[1] (numeric) -0.002524483262262166 absolute error 1.717376241217039e-16 relative error 6.802882264618372e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.307999999999966 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.307999999999958 Order of pole (three term test) 7.842779792147336e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.691000000000034 y[1] (closed_form) -0.0025206709958755114 y[1] (numeric) -0.0025206709958753393 absolute error 1.721713049906981e-16 relative error 6.830375930552468e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.308999999999966 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3089999999999415 Order of pole (three term test) 1.5953314558844574e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.690000000000034 y[1] (closed_form) -0.0025168656357669 y[1] (numeric) -0.0025168656357667284 absolute error 1.717376241217039e-16 relative error 6.8234720869147505e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.309999999999966 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.309999999999932 Order of pole (three term test) 2.433833575327121e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6890000000000343 y[1] (closed_form) -0.002513067167344313 y[1] (numeric) -0.00251306716734414 absolute error 1.726049858596923e-16 relative error 6.8682997455293986e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3109999999999657 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.310999999999943 Order of pole (three term test) 1.6502361238126457e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6880000000000344 y[1] (closed_form) -0.0025092755760507805 y[1] (numeric) -0.0025092755760506074 absolute error 1.730386667286865e-16 relative error 6.895961064628188e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3119999999999656 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3119999999999257 Order of pole (three term test) 3.3567603564181e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6870000000000345 y[1] (closed_form) -0.002505490847364466 y[1] (numeric) -0.0025054908473642924 absolute error 1.734723475976807e-16 relative error 6.923687140192783e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3129999999999655 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3129999999999353 Order of pole (three term test) 1.7069955026600156e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6860000000000346 y[1] (closed_form) -0.0025017129667985654 y[1] (numeric) -0.002501712966798392 absolute error 1.734723475976807e-16 relative error 6.9341427214039164e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3139999999999654 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3139999999999428 Order of pole (three term test) 8.68044921356208e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6850000000000347 y[1] (closed_form) -0.002497941919901217 y[1] (numeric) -0.0024979419199010425 absolute error 1.7433970933566911e-16 relative error 6.979333984777497e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3149999999999653 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.314999999999961 Order of pole (three term test) 8.82835534409737e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.684000000000035 y[1] (closed_form) -0.0024941776922554 y[1] (numeric) -0.002494177692255225 absolute error 1.7477339020466331e-16 relative error 7.0072549661296064e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.315999999999965 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.31599999999995 Order of pole (three term test) 8.978735891581943e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.683000000000035 y[1] (closed_form) -0.002490420269478847 y[1] (numeric) -0.0024904202694786717 absolute error 1.7520707107365752e-16 relative error 7.035241128611673e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.316999999999965 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3169999999999358 Order of pole (three term test) 1.8263262974266814e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.682000000000035 y[1] (closed_form) -0.002486669637223945 y[1] (numeric) -0.00248666963722377 absolute error 1.7520707107365752e-16 relative error 7.045852350103662e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.317999999999965 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3179999999999605 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.681000000000035 y[1] (closed_form) -0.0024829257811776447 y[1] (numeric) -0.0024829257811774686 absolute error 1.7607443281164592e-16 relative error 7.09140942296448e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.318999999999965 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3189999999999515 Order of pole (three term test) 9.445133630394889e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6800000000000352 y[1] (closed_form) -0.0024791886870613633 y[1] (numeric) -0.002479188687061187 absolute error 1.7650811368064012e-16 relative error 7.119591768138433e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3199999999999648 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3199999999999528 Order of pole (three term test) 9.605824755022397e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6790000000000354 y[1] (closed_form) -0.0024754583406308944 y[1] (numeric) -0.002475458340630718 absolute error 1.7650811368064012e-16 relative error 7.130320506046381e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3209999999999646 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3209999999999376 Order of pole (three term test) 1.9538400205450132e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6780000000000355 y[1] (closed_form) -0.002471734727676314 y[1] (numeric) -0.002471734727676137 absolute error 1.7694179454963432e-16 relative error 7.158607781344639e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3219999999999645 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3219999999999272 Order of pole (three term test) 2.9805911048481575e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6770000000000356 y[1] (closed_form) -0.002468017834021886 y[1] (numeric) -0.0024680178340217088 absolute error 1.7737547541862853e-16 relative error 7.186960846614999e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3229999999999644 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3229999999999618 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6760000000000357 y[1] (closed_form) -0.0024643076455259723 y[1] (numeric) -0.002464307645525795 absolute error 1.7737547541862853e-16 relative error 7.197781321689248e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3239999999999643 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3239999999999523 Order of pole (three term test) 1.0275875128600066e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.675000000000036 y[1] (closed_form) -0.0024606041480809394 y[1] (numeric) -0.002460604148080761 absolute error 1.7824283715661693e-16 relative error 7.2438647758775455e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.324999999999964 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.324999999999947 Order of pole (three term test) 1.0450434597678403e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.674000000000036 y[1] (closed_form) -0.0024569073276130646 y[1] (numeric) -0.002456907327612886 absolute error 1.7867651802561113e-16 relative error 7.2724158545775915e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.325999999999964 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.325999999999967 Order of pole (three term test) 1.06279055288347e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.673000000000036 y[1] (closed_form) -0.0024532171700824483 y[1] (numeric) -0.002453217170082269 absolute error 1.7911019889460533e-16 relative error 7.301033152665638e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.326999999999964 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.326999999999914 Order of pole (three term test) 2.1616671169493776e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.672000000000036 y[1] (closed_form) -0.0024495336614829195 y[1] (numeric) -0.00244953366148274 absolute error 1.7954387976359953e-16 relative error 7.329716777801116e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.327999999999964 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3279999999999577 Order of pole (three term test) 1.0991773193683936e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6710000000000362 y[1] (closed_form) -0.0024458567878419446 y[1] (numeric) -0.002445856787841765 absolute error 1.7954387976359953e-16 relative error 7.34073559237361e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3289999999999638 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3289999999999362 Order of pole (three term test) 2.2356535123131665e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6700000000000363 y[1] (closed_form) -0.00244218653522054 y[1] (numeric) -0.0024421865352203596 absolute error 1.8041124150158794e-16 relative error 7.38728344046398e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3299999999999637 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3299999999999335 Order of pole (three term test) 2.2735737368426814e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6690000000000365 y[1] (closed_form) -0.0024385228897131762 y[1] (numeric) -0.0024385228897129954 absolute error 1.8084492237058214e-16 relative error 7.41616669392238e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3309999999999635 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3309999999999502 Order of pole (three term test) 1.1560627359784583e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6680000000000366 y[1] (closed_form) -0.0024348658374476915 y[1] (numeric) -0.0024348658374475102 absolute error 1.8127860323957634e-16 relative error 7.445116706290425e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3319999999999634 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3319999999999257 Order of pole (three term test) 1.1756595201403523e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6670000000000367 y[1] (closed_form) -0.002431215364585201 y[1] (numeric) -0.0024312153645850193 absolute error 1.8171228410857054e-16 relative error 7.474133585840231e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3329999999999633 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.332999999999942 Order of pole (three term test) 1.195582464998561e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.666000000000037 y[1] (closed_form) -0.0024275714573200055 y[1] (numeric) -0.0024275714573198243 absolute error 1.8127860323957634e-16 relative error 7.467487834104978e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.333999999999963 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.333999999999932 Order of pole (three term test) 2.431673797451653e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.665000000000037 y[1] (closed_form) -0.0024239341018795057 y[1] (numeric) -0.0024239341018793235 absolute error 1.8214596497756474e-16 relative error 7.51447676883335e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.334999999999963 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.334999999999936 Order of pole (three term test) 1.2364282348984871e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.664000000000037 y[1] (closed_form) -0.002420303284524107 y[1] (numeric) -0.0024203032845239243 absolute error 1.8257964584655895e-16 relative error 7.543668060693424e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.335999999999963 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.335999999999964 Order of pole (three term test) 1.2573619738390733e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.663000000000037 y[1] (closed_form) -0.002416678991547136 y[1] (numeric) -0.0024166789915469524 absolute error 1.8344700758454735e-16 relative error 7.590871945599455e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.336999999999963 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.336999999999975 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6620000000000372 y[1] (closed_form) -0.002413061209274748 y[1] (numeric) -0.0024130612092745645 absolute error 1.8344700758454735e-16 relative error 7.602252561164117e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3379999999999628 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3379999999999597 Order of pole (three term test) 1.3002791032464498e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6610000000000373 y[1] (closed_form) -0.0024094499240658418 y[1] (numeric) -0.002409449924065658 absolute error 1.8388068845354155e-16 relative error 7.63164598761409e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3389999999999627 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3389999999999564 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6600000000000374 y[1] (closed_form) -0.00240584512231197 y[1] (numeric) -0.0024058451223117855 absolute error 1.8431436932253575e-16 relative error 7.66110701030552e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3399999999999626 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.339999999999927 Order of pole (three term test) 2.689268153576767e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6590000000000376 y[1] (closed_form) -0.002402246790437249 y[1] (numeric) -0.002402246790437064 absolute error 1.8474805019152996e-16 relative error 7.690635738466437e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3409999999999624 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.340999999999939 Order of pole (three term test) 6.83682733572746e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6580000000000377 y[1] (closed_form) -0.0023986549148982753 y[1] (numeric) -0.0023986549148980905 absolute error 1.8474805019152996e-16 relative error 7.702152112170956e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3419999999999623 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3419999999999477 Order of pole (three term test) 1.3904741617135087e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6570000000000378 y[1] (closed_form) -0.0023950694821840363 y[1] (numeric) -0.0023950694821838507 absolute error 1.8561541192951836e-16 relative error 7.74989674872638e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3429999999999622 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.342999999999937 Order of pole (three term test) 1.413966307411804e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.656000000000038 y[1] (closed_form) -0.002391490478815821 y[1] (numeric) -0.0023914904788156356 absolute error 1.8561541192951836e-16 relative error 7.761494915983455e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.343999999999962 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3439999999999337 Order of pole (three term test) 1.4378481494192948e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.655000000000038 y[1] (closed_form) -0.0023879178913471387 y[1] (numeric) -0.0023879178913469522 absolute error 1.8648277366750676e-16 relative error 7.809429894689675e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.344999999999962 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3449999999999522 Order of pole (three term test) 7.310630163575104e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.654000000000038 y[1] (closed_form) -0.0023843517063636245 y[1] (numeric) -0.0023843517063634376 absolute error 1.8691645453650096e-16 relative error 7.839298792943903e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.345999999999962 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3459999999999557 Order of pole (three term test) 1.486806403642394e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.653000000000038 y[1] (closed_form) -0.0023807919104829605 y[1] (numeric) -0.0023807919104827735 absolute error 1.8691645453650096e-16 relative error 7.8510202304318e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.346999999999962 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.346999999999924 Order of pole (three term test) 1.5118958114975577e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6520000000000383 y[1] (closed_form) -0.002377238490354786 y[1] (numeric) -0.0023772384903545988 absolute error 1.8735013540549517e-16 relative error 7.880998737216915e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3479999999999617 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3479999999999284 Order of pole (three term test) 7.687004550710668e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6510000000000384 y[1] (closed_form) -0.002373691432660612 y[1] (numeric) -0.0023736914326604242 absolute error 1.8778381627448937e-16 relative error 7.911045795198709e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3489999999999616 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3489999999999567 Order of pole (three term test) 7.816642298203156e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6500000000000385 y[1] (closed_form) -0.0023701507241137352 y[1] (numeric) -0.002370150724113547 absolute error 1.8821749714348357e-16 relative error 7.941161514690728e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3499999999999615 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3499999999999397 Order of pole (three term test) 1.5896853279231053e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6490000000000387 y[1] (closed_form) -0.0023666163514591545 y[1] (numeric) -0.002366616351458966 absolute error 1.8865117801247777e-16 relative error 7.9713460061308e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3509999999999613 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3509999999999582 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6480000000000388 y[1] (closed_form) -0.0023630883014734844 y[1] (numeric) -0.002363088301473295 absolute error 1.8951853975046618e-16 relative error 8.019951672237277e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3519999999999612 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.351999999999942 Order of pole (three term test) 1.643715042043006e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.647000000000039 y[1] (closed_form) -0.0023595665609648687 y[1] (numeric) -0.0023595665609646797 absolute error 1.8908485888147197e-16 relative error 8.013542063596283e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.352999999999961 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.352999999999953 Order of pole (three term test) 1.6714021783916785e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.646000000000039 y[1] (closed_form) -0.002356051116772902 y[1] (numeric) -0.0023560511167727122 absolute error 1.8995222061946038e-16 relative error 8.06231321838378e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.353999999999961 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.353999999999964 Order of pole (three term test) 8.497736090271247e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.645000000000039 y[1] (closed_form) -0.0023525419557685373 y[1] (numeric) -0.002352541955768347 absolute error 1.9038590148845458e-16 relative error 8.092773904483186e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.354999999999961 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3549999999999462 Order of pole (three term test) 8.640787970674246e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.644000000000039 y[1] (closed_form) -0.0023490390648540074 y[1] (numeric) -0.0023490390648538166 absolute error 1.9081958235744878e-16 relative error 8.123303916587194e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.355999999999961 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3559999999999213 Order of pole (three term test) 2.6358612871928366e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6430000000000393 y[1] (closed_form) -0.00234554243096274 y[1] (numeric) -0.002345542430962548 absolute error 1.9168694409543718e-16 relative error 8.1723929426746e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3569999999999607 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.356999999999956 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6420000000000394 y[1] (closed_form) -0.0023420520410592713 y[1] (numeric) -0.0023420520410590796 absolute error 1.9168694409543718e-16 relative error 8.184572363675589e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3579999999999606 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3579999999999566 Order of pole (three term test) 9.084284294579168e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6410000000000395 y[1] (closed_form) -0.0023385678821391687 y[1] (numeric) -0.0023385678821389766 absolute error 1.9212062496443139e-16 relative error 8.21531102140563e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3589999999999605 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3589999999999547 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6400000000000396 y[1] (closed_form) -0.0023350899412289423 y[1] (numeric) -0.002335089941228749 absolute error 1.93421667571414e-16 relative error 8.283264132841815e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3599999999999604 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3599999999999475 Order of pole (three term test) 9.392290355946306e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6390000000000398 y[1] (closed_form) -0.002331618205385962 y[1] (numeric) -0.0023316182053857684 absolute error 1.93421667571414e-16 relative error 8.295597758012708e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3609999999999602 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.360999999999935 Order of pole (three term test) 2.865034982884813e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.63800000000004 y[1] (closed_form) -0.00232815266169838 y[1] (numeric) -0.0023281526616981863 absolute error 1.938553484404082e-16 relative error 8.32657375221225e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.36199999999996 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.361999999999933 Order of pole (three term test) 1.9421093613314558e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.63700000000004 y[1] (closed_form) -0.002324693297285044 y[1] (numeric) -0.0023246932972848496 absolute error 1.942890293094024e-16 relative error 8.357619886301049e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.36299999999996 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.362999999999934 Order of pole (three term test) 1.9747246230492654e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.63600000000004 y[1] (closed_form) -0.0023212400992954157 y[1] (numeric) -0.002321240099295221 absolute error 1.947227101783966e-16 relative error 8.3887362723702e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.36399999999996 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3639999999999377 Order of pole (three term test) 1.0039388373583256e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.63500000000004 y[1] (closed_form) -0.0023177930549094913 y[1] (numeric) -0.002317793054909296 absolute error 1.951563910473908e-16 relative error 8.419923022636357e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.36499999999996 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.364999999999958 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6340000000000403 y[1] (closed_form) -0.0023143521513377167 y[1] (numeric) -0.002314352151337521 absolute error 1.95590071916385e-16 relative error 8.451180249441821e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3659999999999597 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3659999999999335 Order of pole (three term test) 1.0379160505232417e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6330000000000404 y[1] (closed_form) -0.0023109173758209083 y[1] (numeric) -0.0023109173758207127 absolute error 1.95590071916385e-16 relative error 8.463741454490791e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3669999999999596 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3669999999999383 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6320000000000405 y[1] (closed_form) -0.002307488715630173 y[1] (numeric) -0.0023074887156299766 absolute error 1.964574336543734e-16 relative error 8.513906582668642e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3679999999999595 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3679999999999573 Order of pole (three term test) 1.0730219708492559e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6310000000000406 y[1] (closed_form) -0.0023040661580668227 y[1] (numeric) -0.0023040661580666258 absolute error 1.968911145233676e-16 relative error 8.545375914403641e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3689999999999594 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.36899999999993 Order of pole (three term test) 1.0910096479358298e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6300000000000407 y[1] (closed_form) -0.002300649690462299 y[1] (numeric) -0.0023006496904621012 absolute error 1.97758476261356e-16 relative error 8.595766538521467e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3699999999999593 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.369999999999966 Order of pole (three term test) 1.1092933895739372e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.629000000000041 y[1] (closed_form) -0.0022972393001780885 y[1] (numeric) -0.0022972393001778908 absolute error 1.97758476261356e-16 relative error 8.608527472345838e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.370999999999959 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.370999999999958 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.628000000000041 y[1] (closed_form) -0.0022938349746056473 y[1] (numeric) -0.002293834974605449 absolute error 1.981921571303502e-16 relative error 8.640209924622983e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.371999999999959 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3719999999999613 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.627000000000041 y[1] (closed_form) -0.002290436701166316 y[1] (numeric) -0.0022904367011661176 absolute error 1.981921571303502e-16 relative error 8.65302922492591e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.372999999999959 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3729999999999487 Order of pole (three term test) 1.1659692119120665e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.626000000000041 y[1] (closed_form) -0.0022870444673112438 y[1] (numeric) -0.002287044467311045 absolute error 1.986258379993444e-16 relative error 8.684826239205493e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.373999999999959 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3739999999999255 Order of pole (three term test) 3.556457417060353e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6250000000000413 y[1] (closed_form) -0.0022836582605213073 y[1] (numeric) -0.0022836582605211078 absolute error 1.9949319973733282e-16 relative error 8.735685333750115e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3749999999999587 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.374999999999954 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6240000000000414 y[1] (closed_form) -0.0022802780683070308 y[1] (numeric) -0.0022802780683068313 absolute error 1.9949319973733282e-16 relative error 8.748634761261574e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3759999999999586 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3759999999999324 Order of pole (three term test) 1.2254864158373827e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6230000000000415 y[1] (closed_form) -0.0022769038782085096 y[1] (numeric) -0.00227690387820831 absolute error 1.9949319973733282e-16 relative error 8.7615995407894e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3769999999999585 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.376999999999936 Order of pole (three term test) 1.2459808621796126e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6220000000000416 y[1] (closed_form) -0.00227353567779533 y[1] (numeric) -0.0022735356777951296 absolute error 2.0036056147532122e-16 relative error 8.81273003244061e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3779999999999584 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3779999999999606 Order of pole (three term test) 1.2668118271033352e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6210000000000417 y[1] (closed_form) -0.002270173454666489 y[1] (numeric) -0.0022701734546662885 absolute error 2.0036056147532122e-16 relative error 8.825782059228429e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3789999999999583 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.378999999999939 Order of pole (three term test) 1.2879847341569924e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.620000000000042 y[1] (closed_form) -0.002266817196450319 y[1] (numeric) -0.0022668171964501183 absolute error 2.0079424234431542e-16 relative error 8.857981254895431e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.379999999999958 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.379999999999936 Order of pole (three term test) 1.3095050926541963e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.619000000000042 y[1] (closed_form) -0.002263466890804409 y[1] (numeric) -0.0022634668908042077 absolute error 2.0122792321330962e-16 relative error 8.89025256038959e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.380999999999958 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3809999999999683 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.618000000000042 y[1] (closed_form) -0.0022601225254155247 y[1] (numeric) -0.002260122525415323 absolute error 2.0166160408230382e-16 relative error 8.922596090016325e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.381999999999958 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3819999999999597 Order of pole (three term test) 6.768053190304853e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.617000000000042 y[1] (closed_form) -0.0022567840879995334 y[1] (numeric) -0.0022567840879993317 absolute error 2.0166160408230382e-16 relative error 8.935795194349382e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.382999999999958 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3829999999999423 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6160000000000423 y[1] (closed_form) -0.0022534515663013258 y[1] (numeric) -0.002253451566301124 absolute error 2.0166160408230382e-16 relative error 8.949009914302199e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3839999999999577 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3839999999999573 Order of pole (three term test) 6.995871520963543e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6150000000000424 y[1] (closed_form) -0.0022501249480947386 y[1] (numeric) -0.002250124948094537 absolute error 2.0166160408230382e-16 relative error 8.962240263726595e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3849999999999576 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3849999999999425 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6140000000000425 y[1] (closed_form) -0.0022468042211824793 y[1] (numeric) -0.0022468042211822763 absolute error 2.0296264668928643e-16 relative error 9.033392619427626e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3859999999999575 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3859999999999437 Order of pole (three term test) 2.1693650871413743e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6130000000000426 y[1] (closed_form) -0.0022434893733960445 y[1] (numeric) -0.002243489373395841 absolute error 2.0339632755828063e-16 relative error 9.06607046907438e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3869999999999574 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3869999999999436 Order of pole (three term test) 1.4703576595961592e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6120000000000427 y[1] (closed_form) -0.002240180392595649 y[1] (numeric) -0.002240180392595446 absolute error 2.0296264668928643e-16 relative error 9.060102809583025e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3879999999999573 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.387999999999951 Order of pole (three term test) 1.4948667052175256e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.611000000000043 y[1] (closed_form) -0.0022368772666701508 y[1] (numeric) -0.0022368772666699465 absolute error 2.0426368929626904e-16 relative error 9.131644920346436e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.388999999999957 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3889999999999705 Order of pole (three term test) 1.519776871845027e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.610000000000043 y[1] (closed_form) -0.0022335799835369657 y[1] (numeric) -0.0022335799835367614 absolute error 2.0426368929626904e-16 relative error 9.145125350416559e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.389999999999957 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3899999999999237 Order of pole (three term test) 7.725473015235763e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.609000000000043 y[1] (closed_form) -0.0022302885311420023 y[1] (numeric) -0.0022302885311417976 absolute error 2.0469737016526324e-16 relative error 9.178066752665831e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.390999999999957 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3909999999999476 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.608000000000043 y[1] (closed_form) -0.0022270028974595807 y[1] (numeric) -0.0022270028974593755 absolute error 2.0513105103425744e-16 relative error 9.211081461468126e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.391999999999957 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.391999999999937 Order of pole (three term test) 7.984895214144613e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6070000000000433 y[1] (closed_form) -0.0022237230704923575 y[1] (numeric) -0.0022237230704921524 absolute error 2.0513105103425744e-16 relative error 9.22466712497789e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3929999999999567 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.39299999999993 Order of pole (three term test) 8.117795763295698e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6060000000000434 y[1] (closed_form) -0.0022204490382712536 y[1] (numeric) -0.0022204490382710476 absolute error 2.0599841277224584e-16 relative error 9.277331261456348e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3939999999999566 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3939999999999464 Order of pole (three term test) 8.252868163886157e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6050000000000435 y[1] (closed_form) -0.0022171807888553747 y[1] (numeric) -0.0022171807888551683 absolute error 2.0643209364124004e-16 relative error 9.310566584324913e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3949999999999565 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.394999999999939 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6040000000000436 y[1] (closed_form) -0.0022139183103319407 y[1] (numeric) -0.0022139183103317343 absolute error 2.0643209364124004e-16 relative error 9.32428683921445e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3959999999999564 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3959999999999404 Order of pole (three term test) 8.529668414030638e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6030000000000437 y[1] (closed_form) -0.0022106615908162102 y[1] (numeric) -0.002210661590816004 absolute error 2.0643209364124004e-16 relative error 9.338023264113535e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.3969999999999563 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3969999999999283 Order of pole (three term test) 1.7342935180092659e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.602000000000044 y[1] (closed_form) -0.002207410618451406 y[1] (numeric) -0.0022074106184511986 absolute error 2.0729945537922845e-16 relative error 9.391069049249115e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.397999999999956 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.397999999999936 Order of pole (three term test) 8.815581287479873e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.601000000000044 y[1] (closed_form) -0.0022041653814086387 y[1] (numeric) -0.0022041653814084314 absolute error 2.0729945537922845e-16 relative error 9.4048957091753e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.398999999999956 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3989999999999574 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.600000000000044 y[1] (closed_form) -0.0022009258678868378 y[1] (numeric) -0.0022009258678866305 absolute error 2.0729945537922845e-16 relative error 9.418738650123717e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.399999999999956 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3999999999999337 Order of pole (three term test) 1.8221802306760494e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.599000000000044 y[1] (closed_form) -0.002197692066112675 y[1] (numeric) -0.0021976920661124673 absolute error 2.0773313624822265e-16 relative error 9.452331354850158e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.400999999999956 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4009999999999536 Order of pole (three term test) 9.262183241475855e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5980000000000443 y[1] (closed_form) -0.0021944639643404905 y[1] (numeric) -0.0021944639643402823 absolute error 2.0816681711721685e-16 relative error 9.485998426033755e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4019999999999557 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.401999999999924 Order of pole (three term test) 1.8831863416714476e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5970000000000444 y[1] (closed_form) -0.0021912415508522215 y[1] (numeric) -0.002191241550852013 absolute error 2.0860049798621105e-16 relative error 9.519739980518431e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4029999999999556 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4029999999999605 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5960000000000445 y[1] (closed_form) -0.0021880248139573275 y[1] (numeric) -0.002188024813957119 absolute error 2.0860049798621105e-16 relative error 9.533735479394766e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4039999999999555 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.40399999999997 Order of pole (three term test) 1.9461972532639911e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5950000000000446 y[1] (closed_form) -0.0021848137419927206 y[1] (numeric) -0.0021848137419925116 absolute error 2.0903417885520525e-16 relative error 9.567597220646817e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4049999999999554 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.404999999999954 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5940000000000447 y[1] (closed_form) -0.002181608323322689 y[1] (numeric) -0.0021816083233224797 absolute error 2.0946785972419946e-16 relative error 9.601533762264453e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4059999999999553 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.405999999999943 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.593000000000045 y[1] (closed_form) -0.002178408546338828 y[1] (numeric) -0.002178408546338618 absolute error 2.0990154059319366e-16 relative error 9.635545221577813e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.406999999999955 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4069999999999405 Order of pole (three term test) 2.0446145922036297e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.592000000000045 y[1] (closed_form) -0.002175214399459966 y[1] (numeric) -0.002175214399459756 absolute error 2.0990154059319366e-16 relative error 9.649694331064805e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.407999999999955 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.407999999999929 Order of pole (three term test) 3.117741160237412e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.591000000000045 y[1] (closed_form) -0.002172025871132094 y[1] (numeric) -0.002172025871131884 absolute error 2.1033522146218786e-16 relative error 9.683826710248061e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.408999999999955 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4089999999999385 Order of pole (three term test) 1.0564624107554984e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.590000000000045 y[1] (closed_form) -0.002168842949828293 y[1] (numeric) -0.0021688429498280823 absolute error 2.1076890233118206e-16 relative error 9.718034325531436e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.409999999999955 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4099999999999437 Order of pole (three term test) 1.0739577691590355e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5890000000000453 y[1] (closed_form) -0.0021656656240486628 y[1] (numeric) -0.002165665624048451 absolute error 2.1163626406917047e-16 relative error 9.772342586918902e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4109999999999547 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.41099999999995 Order of pole (three term test) 1.0917375986089592e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5880000000000454 y[1] (closed_form) -0.0021624938823202496 y[1] (numeric) -0.002162493882320038 absolute error 2.1163626406917047e-16 relative error 9.786675735798853e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4119999999999546 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.411999999999936 Order of pole (three term test) 1.1098064391086274e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5870000000000455 y[1] (closed_form) -0.002159327713196979 y[1] (numeric) -0.0021593277131967668 absolute error 2.1206994493816467e-16 relative error 9.821109766807275e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4129999999999545 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4129999999999487 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5860000000000456 y[1] (closed_form) -0.0021561671052595798 y[1] (numeric) -0.0021561671052593673 absolute error 2.1250362580715887e-16 relative error 9.85561950596476e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4139999999999544 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4139999999999455 Order of pole (three term test) 1.1468296698287579e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5850000000000457 y[1] (closed_form) -0.002153012047115517 y[1] (numeric) -0.0021530120471153044 absolute error 2.1250362580715887e-16 relative error 9.870062087755577e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4149999999999543 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4149999999999365 Order of pole (three term test) 2.331586999812581e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.584000000000046 y[1] (closed_form) -0.002149862527398921 y[1] (numeric) -0.002149862527398708 absolute error 2.1337098754514727e-16 relative error 9.924866582204252e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.415999999999954 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.415999999999954 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.583000000000046 y[1] (closed_form) -0.0021467185347705158 y[1] (numeric) -0.002146718534770302 absolute error 2.1380466841414147e-16 relative error 9.959604156350063e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.416999999999954 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4169999999999447 Order of pole (three term test) 1.2046497456080576e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.582000000000046 y[1] (closed_form) -0.0021435800579175505 y[1] (numeric) -0.002143580057917336 absolute error 2.1467203015212988e-16 relative error 1.001464952798077e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.417999999999954 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4179999999999304 Order of pole (three term test) 1.224552051061274e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.581000000000046 y[1] (closed_form) -0.002140447085553728 y[1] (numeric) -0.0021404470855535132 absolute error 2.1467203015212988e-16 relative error 1.0029307970329705e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.418999999999954 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.418999999999943 Order of pole (three term test) 1.2447772005117188e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5800000000000463 y[1] (closed_form) -0.002137319606419139 y[1] (numeric) -0.0021373196064189233 absolute error 2.1553939189011828e-16 relative error 1.0084565323912064e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4199999999999537 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.419999999999947 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5790000000000464 y[1] (closed_form) -0.0021341976092801866 y[1] (numeric) -0.002134197609279971 absolute error 2.1553939189011828e-16 relative error 1.0099317464928401e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4209999999999536 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4209999999999345 Order of pole (three term test) 1.2862166727537998e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5780000000000465 y[1] (closed_form) -0.0021310810829295234 y[1] (numeric) -0.002131081082929308 absolute error 2.1553939189011828e-16 relative error 1.011408686495512e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4219999999999535 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.421999999999929 Order of pole (three term test) 2.614883036416611e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5770000000000466 y[1] (closed_form) -0.00212797001618598 y[1] (numeric) -0.0021279700161857635 absolute error 2.1640675362810669e-16 relative error 1.0169633593615128e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4229999999999534 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4229999999999015 Order of pole (three term test) 2.6580205109304376e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5760000000000467 y[1] (closed_form) -0.0021248643978944927 y[1] (numeric) -0.0021248643978942763 absolute error 2.1640675362810669e-16 relative error 1.0184497130383567e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4239999999999533 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.423999999999946 Order of pole (three term test) 6.754641767277684e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.575000000000047 y[1] (closed_form) -0.0021217642169260413 y[1] (numeric) -0.002121764216925825 absolute error 2.1640675362810669e-16 relative error 1.0199378041243026e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.424999999999953 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4249999999999603 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.574000000000047 y[1] (closed_form) -0.0021186694621775767 y[1] (numeric) -0.00211866946217736 absolute error 2.1684043449710089e-16 relative error 1.0234745833086746e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.425999999999953 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.425999999999939 Order of pole (three term test) 6.979174676756176e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.573000000000047 y[1] (closed_form) -0.0021155801225719536 y[1] (numeric) -0.002115580122571736 absolute error 2.177077962350893e-16 relative error 1.0290690194726236e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.426999999999953 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4269999999999405 Order of pole (three term test) 1.4188347890475903e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.572000000000047 y[1] (closed_form) -0.0021124961870578616 y[1] (numeric) -0.002112496187057644 absolute error 2.177077962350893e-16 relative error 1.0305713097560552e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.427999999999953 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4279999999999458 Order of pole (three term test) 7.211033728652373e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5710000000000472 y[1] (closed_form) -0.002109417644609761 y[1] (numeric) -0.0021094176446095425 absolute error 2.185751579730777e-16 relative error 1.0361872080268568e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4289999999999528 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4289999999999377 Order of pole (three term test) 7.329783571371242e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5700000000000474 y[1] (closed_form) -0.0021063444842278093 y[1] (numeric) -0.002106344484227591 absolute error 2.181414771040835e-16 relative error 1.0356400804213878e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4299999999999526 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4299999999999504 Order of pole (three term test) 1.490090695619636e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5690000000000475 y[1] (closed_form) -0.0021032766949378007 y[1] (numeric) -0.002103276694937582 absolute error 2.185751579730777e-16 relative error 1.0392125700776689e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4309999999999525 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.430999999999931 Order of pole (three term test) 1.5146147841807067e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5680000000000476 y[1] (closed_form) -0.0021002142657910935 y[1] (numeric) -0.0021002142657908737 absolute error 2.198762005800603e-16 relative error 1.0469227076563968e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4319999999999524 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4319999999999604 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5670000000000477 y[1] (closed_form) -0.0020971571858645426 y[1] (numeric) -0.0020971571858643236 absolute error 2.190088388420719e-16 relative error 1.0443129409576735e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4329999999999523 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4329999999999266 Order of pole (three term test) 1.5648581365630379e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.566000000000048 y[1] (closed_form) -0.002094105444260441 y[1] (numeric) -0.0020941054442602212 absolute error 2.198762005800603e-16 relative error 1.0499767391498868e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.433999999999952 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4339999999999384 Order of pole (three term test) 7.952950347697013e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.565000000000048 y[1] (closed_form) -0.0020910590301064422 y[1] (numeric) -0.002091059030106222 absolute error 2.203098814490545e-16 relative error 1.053580402452053e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.434999999999952 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4349999999999308 Order of pole (three term test) 8.083687255030332e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.564000000000048 y[1] (closed_form) -0.0020880179325555013 y[1] (numeric) -0.0020880179325552806 absolute error 2.207435623180487e-16 relative error 1.0571918893813484e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.435999999999952 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4359999999999484 Order of pole (three term test) 8.216534322989731e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.563000000000048 y[1] (closed_form) -0.0020849821407858053 y[1] (numeric) -0.0020849821407855846 absolute error 2.207435623180487e-16 relative error 1.058731190065988e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.436999999999952 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.43699999999993 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5620000000000482 y[1] (closed_form) -0.0020819516440007094 y[1] (numeric) -0.002081951644000488 absolute error 2.211772431870429e-16 relative error 1.062355332912658e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4379999999999518 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4379999999999384 Order of pole (three term test) 8.488693180519596e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5610000000000483 y[1] (closed_form) -0.002078926431428669 y[1] (numeric) -0.0020789264314284477 absolute error 2.211772431870429e-16 relative error 1.0639012513542706e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4389999999999517 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.438999999999947 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5600000000000485 y[1] (closed_form) -0.0020759064923231755 y[1] (numeric) -0.002075906492322954 absolute error 2.216109240560371e-16 relative error 1.0675380845696439e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4399999999999515 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.439999999999962 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5590000000000486 y[1] (closed_form) -0.00207289181596269 y[1] (numeric) -0.002072891815962468 absolute error 2.220446049250313e-16 relative error 1.0711827950457203e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4409999999999514 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4409999999999434 Order of pole (three term test) 8.913610477921987e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5580000000000487 y[1] (closed_form) -0.002069882391650579 y[1] (numeric) -0.002069882391650357 absolute error 2.220446049250313e-16 relative error 1.072740199253384e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4419999999999513 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4419999999999193 Order of pole (three term test) 2.717951702306811e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.557000000000049 y[1] (closed_form) -0.002066878208715049 y[1] (numeric) -0.002066878208714826 absolute error 2.229119666630197e-16 relative error 1.0784958964834273e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.442999999999951 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4429999999999743 Order of pole (three term test) 9.208422902404882e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.556000000000049 y[1] (closed_form) -0.00206387925650908 y[1] (numeric) -0.0020638792565088565 absolute error 2.233456475320139e-16 relative error 1.0821643118298928e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.443999999999951 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.443999999999922 Order of pole (three term test) 1.8718798800484534e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.555000000000049 y[1] (closed_form) -0.002060885524410363 y[1] (numeric) -0.0020608855244101396 absolute error 2.233456475320139e-16 relative error 1.0837363108555727e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.444999999999951 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.444999999999922 Order of pole (three term test) 1.9025612634075968e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.554000000000049 y[1] (closed_form) -0.0020578970018212362 y[1] (numeric) -0.002057897001821012 absolute error 2.242130092700023e-16 relative error 1.0895249328395644e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.445999999999951 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4459999999999313 Order of pole (three term test) 9.668682055079304e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5530000000000492 y[1] (closed_form) -0.002054913678168616 y[1] (numeric) -0.002054913678168392 absolute error 2.242130092700023e-16 relative error 1.0911067051236228e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4469999999999508 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.446999999999894 Order of pole (three term test) 2.948119683607565e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5520000000000493 y[1] (closed_form) -0.002051935542903939 y[1] (numeric) -0.0020519355429037146 absolute error 2.246466901389965e-16 relative error 1.0948038349249125e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4479999999999507 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4479999999999524 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5510000000000495 y[1] (closed_form) -0.002048962585503094 y[1] (numeric) -0.0020489625855028694 absolute error 2.246466901389965e-16 relative error 1.0963923486374334e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4489999999999505 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4489999999999568 Order of pole (three term test) 1.0151515204583784e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5500000000000496 y[1] (closed_form) -0.00204599479546636 y[1] (numeric) -0.0020459947954661346 absolute error 2.255140518769849e-16 relative error 1.102222021173723e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4499999999999504 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.449999999999952 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5490000000000497 y[1] (closed_form) -0.0020430321623183404 y[1] (numeric) -0.002043032162318115 absolute error 2.255140518769849e-16 relative error 1.1038203707037181e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4509999999999503 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4509999999999494 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.54800000000005 y[1] (closed_form) -0.0020400746756079027 y[1] (numeric) -0.0020400746756076772 absolute error 2.255140518769849e-16 relative error 1.1054205739296583e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.45199999999995 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4519999999999516 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.54700000000005 y[1] (closed_form) -0.002037122324908114 y[1] (numeric) -0.002037122324907888 absolute error 2.259477327459791e-16 relative error 1.109151522141267e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.45299999999995 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.452999999999928 Order of pole (three term test) 1.0832292346548537e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.54600000000005 y[1] (closed_form) -0.002034175099816177 y[1] (numeric) -0.0020341750998159507 absolute error 2.2638141361497333e-16 relative error 1.1128904961791677e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.45399999999995 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.453999999999957 Order of pole (three term test) 1.1009374517201705e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.54500000000005 y[1] (closed_form) -0.0020312329899533675 y[1] (numeric) -0.002031232989953141 absolute error 2.2638141361497333e-16 relative error 1.11450244622194e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.45499999999995 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4549999999999312 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.54400000000005 y[1] (closed_form) -0.002028295984964975 y[1] (numeric) -0.0020282959849647476 absolute error 2.2724877535296173e-16 relative error 1.1203925710915703e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.45599999999995 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4559999999999076 Order of pole (three term test) 2.2744221370143385e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5430000000000503 y[1] (closed_form) -0.0020253640745202324 y[1] (numeric) -0.0020253640745200056 absolute error 2.2681509448396753e-16 relative error 1.1198731987862251e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4569999999999497 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.456999999999932 Order of pole (three term test) 1.1557854934585995e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5420000000000504 y[1] (closed_form) -0.0020224372483122646 y[1] (numeric) -0.002022437248312037 absolute error 2.2768245622195593e-16 relative error 1.1257825498020185e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4579999999999496 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.457999999999937 Order of pole (three term test) 1.1746577960221317e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5410000000000506 y[1] (closed_form) -0.0020195154960580167 y[1] (numeric) -0.002019515496057788 absolute error 2.2854981795994433e-16 relative error 1.1317061859939229e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4589999999999494 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.458999999999949 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5400000000000507 y[1] (closed_form) -0.002016598807498196 y[1] (numeric) -0.0020165988074979675 absolute error 2.2854981795994433e-16 relative error 1.1333430185029442e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4599999999999493 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.459999999999948 Order of pole (three term test) 1.2133148617451077e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5390000000000508 y[1] (closed_form) -0.0020136871723972116 y[1] (numeric) -0.002013687172396983 absolute error 2.2854981795994433e-16 relative error 1.1349817443980894e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4609999999999492 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4609999999999204 Order of pole (three term test) 1.2331092209269298e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.538000000000051 y[1] (closed_form) -0.002010780580543112 y[1] (numeric) -0.0020107805805428826 absolute error 2.2941717969793274e-16 relative error 1.1409359226851453e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.461999999999949 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.461999999999927 Order of pole (three term test) 1.253220651976082e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.537000000000051 y[1] (closed_form) -0.00200787902174752 y[1] (numeric) -0.0020078790217472908 absolute error 2.2941717969793274e-16 relative error 1.1425846737432606e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.462999999999949 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4629999999999415 Order of pole (three term test) 1.2736541400485511e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.536000000000051 y[1] (closed_form) -0.002004982485845579 y[1] (numeric) -0.0020049824858453485 absolute error 2.3028454143592114e-16 relative error 1.1485613618155933e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.463999999999949 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4639999999999267 Order of pole (three term test) 1.2944147472055073e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.535000000000051 y[1] (closed_form) -0.0020020909626958824 y[1] (numeric) -0.0020020909626956517 absolute error 2.3071822230491534e-16 relative error 1.1523863131285782e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.464999999999949 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.464999999999952 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5340000000000513 y[1] (closed_form) -0.0019992044421804217 y[1] (numeric) -0.0019992044421801906 absolute error 2.3115190317390955e-16 relative error 1.1562194355761082e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4659999999999487 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4659999999999247 Order of pole (three term test) 1.336937958542987e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5330000000000514 y[1] (closed_form) -0.0019963229142045203 y[1] (numeric) -0.001996322914204289 absolute error 2.3115190317390955e-16 relative error 1.157888343259423e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4669999999999486 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4669999999999233 Order of pole (three term test) 6.793555409657626e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5320000000000515 y[1] (closed_form) -0.001993446368696775 y[1] (numeric) -0.0019934463686965436 absolute error 2.3158558404290375e-16 relative error 1.1617347106975538e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4679999999999485 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.467999999999936 Order of pole (three term test) 6.904161826176578e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5310000000000517 y[1] (closed_form) -0.001990574795608996 y[1] (numeric) -0.001990574795608764 absolute error 2.3201926491189795e-16 relative error 1.1655892831744314e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4689999999999483 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4689999999999537 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5300000000000518 y[1] (closed_form) -0.0019877081849161444 y[1] (numeric) -0.001987708184915912 absolute error 2.3245294578089215e-16 relative error 1.169452073221194e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4699999999999482 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.46999999999991 Order of pole (three term test) 2.139212029958419e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.529000000000052 y[1] (closed_form) -0.001984846526616275 y[1] (numeric) -0.001984846526616042 absolute error 2.3288662664988635e-16 relative error 1.1733230933824722e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.470999999999948 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4709999999999437 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.528000000000052 y[1] (closed_form) -0.001981989810730475 y[1] (numeric) -0.0019819898107302416 absolute error 2.3332030751888055e-16 relative error 1.1772023562163967e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.471999999999948 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.471999999999914 Order of pole (three term test) 1.472909655346543e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.527000000000052 y[1] (closed_form) -0.001979138027302804 y[1] (numeric) -0.0019791380273025704 absolute error 2.3375398838787476e-16 relative error 1.181089874294608e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.472999999999948 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.472999999999925 Order of pole (three term test) 1.496855406304022e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.526000000000052 y[1] (closed_form) -0.0019762911664002367 y[1] (numeric) -0.0019762911664000025 absolute error 2.3418766925686896e-16 relative error 1.1849856602022653e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.473999999999948 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.473999999999901 Order of pole (three term test) 1.521183391501132e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5250000000000523 y[1] (closed_form) -0.0019734492181126004 y[1] (numeric) -0.001973449218112366 absolute error 2.3462135012586316e-16 relative error 1.188889726538057e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4749999999999477 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.474999999999951 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5240000000000524 y[1] (closed_form) -0.0019706121725525188 y[1] (numeric) -0.0019706121725522837 absolute error 2.3505503099485736e-16 relative error 1.192802085914208e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4759999999999476 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4759999999999422 Order of pole (three term test) 7.855050558331403e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5230000000000525 y[1] (closed_form) -0.00196778001985535 y[1] (numeric) -0.001967780019855115 absolute error 2.3505503099485736e-16 relative error 1.1945188416545465e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4769999999999475 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.476999999999964 Order of pole (three term test) 7.982605508565673e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5220000000000526 y[1] (closed_form) -0.0019649527501791318 y[1] (numeric) -0.0019649527501788963 absolute error 2.3548871186385156e-16 relative error 1.1984446539102968e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4779999999999474 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.47799999999996 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5210000000000528 y[1] (closed_form) -0.001962130353704519 y[1] (numeric) -0.0019621303537042827 absolute error 2.3635607360183997e-16 relative error 1.2045890486103415e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4789999999999472 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.478999999999932 Order of pole (three term test) 1.648769688811467e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.520000000000053 y[1] (closed_form) -0.0019593128206347264 y[1] (numeric) -0.00195931282063449 absolute error 2.3635607360183997e-16 relative error 1.2063212730128086e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.479999999999947 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.47999999999991 Order of pole (three term test) 3.3510402288990886e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.519000000000053 y[1] (closed_form) -0.001956500141195472 y[1] (numeric) -0.0019565001411952355 absolute error 2.3635607360183997e-16 relative error 1.208055489622507e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.480999999999947 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4809999999999532 Order of pole (three term test) 8.513483391243379e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.518000000000053 y[1] (closed_form) -0.001953692305634917 y[1] (numeric) -0.0019536923056346803 absolute error 2.3678975447083417e-16 relative error 1.2120115014420426e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.481999999999947 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4819999999999385 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.517000000000053 y[1] (closed_form) -0.001950889304223609 y[1] (numeric) -0.0019508893042233715 absolute error 2.3744027577432547e-16 relative error 1.217087382970809e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.482999999999947 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4829999999999206 Order of pole (three term test) 2.637532462368022e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5160000000000533 y[1] (closed_form) -0.0019480911272544222 y[1] (numeric) -0.0019480911272541843 absolute error 2.3787395664331967e-16 relative error 1.2210617527865429e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4839999999999467 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4839999999999325 Order of pole (three term test) 1.7868503421682716e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5150000000000534 y[1] (closed_form) -0.0019452977650425021 y[1] (numeric) -0.0019452977650422643 absolute error 2.3787395664331967e-16 relative error 1.2228151438714189e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4849999999999466 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.484999999999948 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5140000000000535 y[1] (closed_form) -0.0019425092079252083 y[1] (numeric) -0.00194250920792497 absolute error 2.3830763751231387e-16 relative error 1.2268031293753811e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4859999999999465 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.485999999999946 Order of pole (three term test) 9.22604194062065e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5130000000000536 y[1] (closed_form) -0.001939725446262054 y[1] (numeric) -0.0019397254462618155 absolute error 2.38524477946811e-16 relative error 1.2296816459590162e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4869999999999464 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4869999999999024 Order of pole (three term test) 1.8750853379603175e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5120000000000537 y[1] (closed_form) -0.0019369464704346525 y[1] (numeric) -0.0019369464704344136 absolute error 2.389581588158052e-16 relative error 1.2336848873380725e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4879999999999463 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4879999999999307 Order of pole (three term test) 1.90543726895048e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.511000000000054 y[1] (closed_form) -0.0019341722708466577 y[1] (numeric) -0.0019341722708464185 absolute error 2.391749992503023e-16 relative error 1.236575473939592e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.488999999999946 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4889999999999173 Order of pole (three term test) 9.681357964347614e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.510000000000054 y[1] (closed_form) -0.0019314028379237087 y[1] (numeric) -0.0019314028379234694 absolute error 2.393918396847994e-16 relative error 1.239471305438019e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.489999999999946 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4899999999999216 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.509000000000054 y[1] (closed_form) -0.0019286381621133732 y[1] (numeric) -0.0019286381621131331 absolute error 2.400423609882907e-16 relative error 1.2446210269180602e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.490999999999946 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4909999999999326 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.508000000000054 y[1] (closed_form) -0.0019258782338850886 y[1] (numeric) -0.0019258782338848488 absolute error 2.398255205537936e-16 relative error 1.2452787322383917e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.491999999999946 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4919999999999516 Order of pole (three term test) 1.0158723762110491e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5070000000000543 y[1] (closed_form) -0.0019231230437301104 y[1] (numeric) -0.00192312304372987 absolute error 2.402592014227878e-16 relative error 1.2493178853329032e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4929999999999457 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.492999999999913 Order of pole (three term test) 2.0645850611499218e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5060000000000544 y[1] (closed_form) -0.001920372582161451 y[1] (numeric) -0.0019203725821612103 absolute error 2.40692882291782e-16 relative error 1.2533655423307136e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4939999999999456 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4939999999999283 Order of pole (three term test) 2.0979465583665902e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5050000000000545 y[1] (closed_form) -0.0019176268397138275 y[1] (numeric) -0.001917626839713586 absolute error 2.415602440297704e-16 relative error 1.2596832659362395e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4949999999999455 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.494999999999931 Order of pole (three term test) 1.065918681403311e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5040000000000546 y[1] (closed_form) -0.0019148858069436016 y[1] (numeric) -0.0019148858069433605 absolute error 2.411265631607762e-16 relative error 1.2592216323627387e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4959999999999454 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.495999999999927 Order of pole (three term test) 2.166265717295178e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5030000000000547 y[1] (closed_form) -0.0019121494744287313 y[1] (numeric) -0.0019121494744284893 absolute error 2.419939248987646e-16 relative error 1.2655596653659205e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.4969999999999453 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.496999999999936 Order of pole (three term test) 1.1006199953041881e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.502000000000055 y[1] (closed_form) -0.0019094178327687058 y[1] (numeric) -0.0019094178327684636 absolute error 2.422107653332617e-16 relative error 1.2685058302930467e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.497999999999945 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4979999999999256 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.501000000000055 y[1] (closed_form) -0.001906690872584498 y[1] (numeric) -0.0019066908725842554 absolute error 2.426444462022559e-16 relative error 1.2725945757182656e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.498999999999945 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.498999999999905 Order of pole (three term test) 2.2728604099215416e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.500000000000055 y[1] (closed_form) -0.0019039685845185052 y[1] (numeric) -0.0019039685845182626 absolute error 2.426444462022559e-16 relative error 1.2744141272878107e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.499999999999945 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.499999999999936 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.499000000000055 y[1] (closed_form) -0.0019012509592344962 y[1] (numeric) -0.001901250959234253 absolute error 2.432949675057472e-16 relative error 1.2796573031248091e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.500999999999945 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5009999999999457 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4980000000000553 y[1] (closed_form) -0.0018985379874175538 y[1] (numeric) -0.0018985379874173103 absolute error 2.435118079402443e-16 relative error 1.2826280514485576e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5019999999999447 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5019999999999247 Order of pole (three term test) 1.192301051732782e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4970000000000554 y[1] (closed_form) -0.0018958296597740224 y[1] (numeric) -0.0018958296597737791 absolute error 2.432949675057472e-16 relative error 1.283316601000679e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5029999999999446 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5029999999999206 Order of pole (three term test) 1.211517464327114e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4960000000000555 y[1] (closed_form) -0.0018931259670314539 y[1] (numeric) -0.0018931259670312104 absolute error 2.435118079402443e-16 relative error 1.286294795914119e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5039999999999445 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5039999999999347 Order of pole (three term test) 1.2310379714189577e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4950000000000556 y[1] (closed_form) -0.00189042689993855 y[1] (numeric) -0.0018904268999383066 absolute error 2.435118079402443e-16 relative error 1.288131310172109e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5049999999999444 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5049999999999373 Order of pole (three term test) 1.2508672963690047e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4940000000000557 y[1] (closed_form) -0.0018877324492651126 y[1] (numeric) -0.001887732449264868 absolute error 2.445960101127298e-16 relative error 1.2957133316638708e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5059999999999443 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.505999999999926 Order of pole (three term test) 1.271010234524445e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.493000000000056 y[1] (closed_form) -0.001885042605801983 y[1] (numeric) -0.0018850426058017384 absolute error 2.445960101127298e-16 relative error 1.2975622373727067e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.506999999999944 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5069999999999615 Order of pole (three term test) 2.582943308590187e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.492000000000056 y[1] (closed_form) -0.0018823573603609961 y[1] (numeric) -0.001882357360360751 absolute error 2.45029690981724e-16 relative error 1.3017171773096928e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.507999999999944 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.507999999999929 Order of pole (three term test) 1.3122564982451755e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.491000000000056 y[1] (closed_form) -0.0018796767037749203 y[1] (numeric) -0.001879676703774675 absolute error 2.452465314162211e-16 relative error 1.3047271954996143e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.508999999999944 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5089999999999373 Order of pole (three term test) 1.3333697842013504e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.490000000000056 y[1] (closed_form) -0.001877000626897407 y[1] (numeric) -0.0018770006268971615 absolute error 2.454633718507182e-16 relative error 1.3077426205043817e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.509999999999944 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.509999999999927 Order of pole (three term test) 2.0322249095649898e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4890000000000563 y[1] (closed_form) -0.001874329120602936 y[1] (numeric) -0.00187432912060269 absolute error 2.458970527197124e-16 relative error 1.311920356018435e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5109999999999437 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5109999999999597 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4880000000000564 y[1] (closed_form) -0.0018716621757867615 y[1] (numeric) -0.0018716621757865154 absolute error 2.461138931542095e-16 relative error 1.3149482654408745e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5119999999999436 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.511999999999908 Order of pole (three term test) 1.3987316250293355e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4870000000000565 y[1] (closed_form) -0.0018689997833648614 y[1] (numeric) -0.0018689997833646146 absolute error 2.467644144577008e-16 relative error 1.320301996041099e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5129999999999435 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5129999999999417 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4860000000000566 y[1] (closed_form) -0.0018663419342738808 y[1] (numeric) -0.0018663419342736336 absolute error 2.47198095326695e-16 relative error 1.324505926738821e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5139999999999434 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5139999999999034 Order of pole (three term test) 2.1660658190964508e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4850000000000567 y[1] (closed_form) -0.0018636886194710815 y[1] (numeric) -0.0018636886194708343 absolute error 2.47198095326695e-16 relative error 1.3263916125476494e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5149999999999433 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.51499999999993 Order of pole (three term test) 2.2008563252578266e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.484000000000057 y[1] (closed_form) -0.0018610398299342896 y[1] (numeric) -0.001861039829934042 absolute error 2.476317761956892e-16 relative error 1.33060976026737e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.515999999999943 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5159999999999276 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.483000000000057 y[1] (closed_form) -0.0018583955566618409 y[1] (numeric) -0.0018583955566615928 absolute error 2.480654570646834e-16 relative error 1.334836688429632e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.516999999999943 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5169999999999098 Order of pole (three term test) 2.2720917982913934e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.482000000000057 y[1] (closed_form) -0.0018557557906725298 y[1] (numeric) -0.0018557557906722813 absolute error 2.484991379336776e-16 relative error 1.3390724101883094e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.517999999999943 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5179999999999203 Order of pole (three term test) 1.5390359197134493e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.481000000000057 y[1] (closed_form) -0.0018531205230055566 y[1] (numeric) -0.0018531205230053079 absolute error 2.487159783681747e-16 relative error 1.3421468020050036e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.518999999999943 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5189999999999553 Order of pole (three term test) 7.818634946211088e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4800000000000573 y[1] (closed_form) -0.001850489744720476 y[1] (numeric) -0.001850489744720227 absolute error 2.489328188026718e-16 relative error 1.3452266866805799e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5199999999999427 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.519999999999916 Order of pole (three term test) 1.5888069977583345e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4790000000000574 y[1] (closed_form) -0.0018478634468971438 y[1] (numeric) -0.0018478634468968946 absolute error 2.491496592371689e-16 relative error 1.3483120717363112e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5209999999999426 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5209999999999417 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4780000000000575 y[1] (closed_form) -0.0018452416206356668 y[1] (numeric) -0.0018452416206354173 absolute error 2.495833401061631e-16 relative error 1.3525780977137521e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5219999999999425 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5219999999999105 Order of pole (three term test) 1.6401579771272407e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4770000000000576 y[1] (closed_form) -0.001842624257056349 y[1] (numeric) -0.0018426242570560995 absolute error 2.495833401061631e-16 relative error 1.3544993731108287e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5229999999999424 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5229999999999544 Order of pole (three term test) 8.332206250495533e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4760000000000577 y[1] (closed_form) -0.0018400113472996425 y[1] (numeric) -0.0018400113472993925 absolute error 2.500170209751573e-16 relative error 1.3587797778642856e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5239999999999423 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5239999999999196 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.475000000000058 y[1] (closed_form) -0.0018374028825260934 y[1] (numeric) -0.0018374028825258431 absolute error 2.502338614096544e-16 relative error 1.3618889128204074e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.524999999999942 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5249999999999133 Order of pole (three term test) 1.7202548206035487e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.474000000000058 y[1] (closed_form) -0.0018347988539162928 y[1] (numeric) -0.0018347988539160424 absolute error 2.504507018441515e-16 relative error 1.3650035877751731e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.525999999999942 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.525999999999923 Order of pole (three term test) 8.738989941376598e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.473000000000058 y[1] (closed_form) -0.0018321992526708249 y[1] (numeric) -0.001832199252670574 absolute error 2.5088438271314573e-16 relative error 1.3693073084023354e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.526999999999942 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5269999999999446 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.472000000000058 y[1] (closed_form) -0.001829604070010215 y[1] (numeric) -0.0018296040700099638 absolute error 2.5110122314764283e-16 relative error 1.3724347647862465e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.527999999999942 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.527999999999917 Order of pole (three term test) 9.020949991528865e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4710000000000583 y[1] (closed_form) -0.0018270132971748804 y[1] (numeric) -0.001827013297174629 absolute error 2.5131806358213993e-16 relative error 1.375567785799667e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5289999999999417 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.528999999999918 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4700000000000584 y[1] (closed_form) -0.0018244269254250787 y[1] (numeric) -0.0018244269254248271 absolute error 2.5153490401663703e-16 relative error 1.3787063790347818e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5299999999999416 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5299999999999416 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4690000000000585 y[1] (closed_form) -0.0018218449460408572 y[1] (numeric) -0.0018218449460406054 absolute error 2.5175174445113413e-16 relative error 1.381850552091321e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5309999999999415 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.530999999999911 Order of pole (three term test) 1.8921439468092162e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4680000000000586 y[1] (closed_form) -0.0018192673503220032 y[1] (numeric) -0.0018192673503217513 absolute error 2.5196858488563123e-16 relative error 1.3850003125765643e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5319999999999414 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5319999999999006 Order of pole (three term test) 2.8835810509593155e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4670000000000587 y[1] (closed_form) -0.0018166941295879933 y[1] (numeric) -0.001816694129587741 absolute error 2.5240226575462543e-16 relative error 1.389349267132093e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5329999999999413 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5329999999999373 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.466000000000059 y[1] (closed_form) -0.0018141252751779433 y[1] (numeric) -0.0018141252751776899 absolute error 2.5348646792711094e-16 relative error 1.3972930722893272e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.533999999999941 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.533999999999918 Order of pole (three term test) 9.92152710279591e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.465000000000059 y[1] (closed_form) -0.0018115607784505562 y[1] (numeric) -0.001811560778450303 absolute error 2.5326962749261384e-16 relative error 1.3980741386399276e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.534999999999941 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5349999999998976 Order of pole (three term test) 3.023992179575945e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.464000000000059 y[1] (closed_form) -0.0018090006307840778 y[1] (numeric) -0.0018090006307838245 absolute error 2.5326962749261384e-16 relative error 1.4000527317828452e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.535999999999941 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5359999999999197 Order of pole (three term test) 2.0481810528688855e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.463000000000059 y[1] (closed_form) -0.001806444823576242 y[1] (numeric) -0.0018064448235759882 absolute error 2.5392014879610514e-16 relative error 1.4056346780269555e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.536999999999941 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5369999999999377 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4620000000000593 y[1] (closed_form) -0.0018038933482442219 y[1] (numeric) -0.001803893348243968 absolute error 2.5392014879610514e-16 relative error 1.4076228455704017e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5379999999999407 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5379999999999296 Order of pole (three term test) 2.1140749942665107e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4610000000000594 y[1] (closed_form) -0.0018013461962245836 y[1] (numeric) -0.0018013461962243288 absolute error 2.5478751053409354e-16 relative error 1.4144283373629075e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5389999999999406 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5389999999999215 Order of pole (three term test) 1.0738991564228734e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4600000000000595 y[1] (closed_form) -0.0017988033589732314 y[1] (numeric) -0.0017988033589729766 absolute error 2.5478751053409354e-16 relative error 1.4164278116510073e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5399999999999405 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5399999999999143 Order of pole (three term test) 1.0910249114322297e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4590000000000596 y[1] (closed_form) -0.0017962648279653652 y[1] (numeric) -0.0017962648279651102 absolute error 2.5500435096859064e-16 relative error 1.4196367205911105e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5409999999999404 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.540999999999932 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4580000000000597 y[1] (closed_form) -0.0017937305946954271 y[1] (numeric) -0.0017937305946951715 absolute error 2.5565487227208195e-16 relative error 1.4252690623002492e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5419999999999403 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.541999999999934 Order of pole (three term test) 1.1260850100014276e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.45700000000006 y[1] (closed_form) -0.0017912006506770523 y[1] (numeric) -0.0017912006506767965 absolute error 2.5587171270657905e-16 relative error 1.4284927409436938e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.54299999999994 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5429999999999264 Order of pole (three term test) 1.1440276582708092e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.45600000000006 y[1] (closed_form) -0.0017886749874430237 y[1] (numeric) -0.0017886749874427676 absolute error 2.5608855314107615e-16 relative error 1.431722112395411e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.54399999999994 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5439999999999063 Order of pole (three term test) 1.162251013504422e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.45500000000006 y[1] (closed_form) -0.0017861535965452205 y[1] (numeric) -0.001786153596544964 absolute error 2.5652223401007035e-16 relative error 1.4361711921429145e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.54499999999994 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.544999999999949 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.45400000000006 y[1] (closed_form) -0.00178363646955457 y[1] (numeric) -0.001783636469554314 absolute error 2.5608855314107615e-16 relative error 1.4357665225640373e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.54599999999994 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5459999999999017 Order of pole (three term test) 2.3991143036154214e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4530000000000602 y[1] (closed_form) -0.0017811235980610025 y[1] (numeric) -0.0017811235980607458 absolute error 2.5673907444456745e-16 relative error 1.4414444608114965e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5469999999999398 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.546999999999911 Order of pole (three term test) 1.218648751677003e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4520000000000604 y[1] (closed_form) -0.0017786149736733973 y[1] (numeric) -0.0017786149736731404 absolute error 2.5695591487906455e-16 relative error 1.4446966807457495e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5479999999999396 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5479999999999188 Order of pole (three term test) 1.2380386940433455e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4510000000000605 y[1] (closed_form) -0.0017761105880195395 y[1] (numeric) -0.0017761105880192826 absolute error 2.5695591487906455e-16 relative error 1.4467337597800397e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5489999999999395 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.548999999999939 Order of pole (three term test) 1.2577315550096012e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4500000000000606 y[1] (closed_form) -0.0017736104327460709 y[1] (numeric) -0.0017736104327458137 absolute error 2.5717275531356165e-16 relative error 1.4499957294194676e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5499999999999394 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.549999999999886 Order of pole (three term test) 2.5554639590988565e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4490000000000607 y[1] (closed_form) -0.0017711144995184414 y[1] (numeric) -0.0017711144995181838 absolute error 2.5760643618255585e-16 relative error 1.4544877604050893e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5509999999999393 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.550999999999945 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.448000000000061 y[1] (closed_form) -0.0017686227800208618 y[1] (numeric) -0.0017686227800206037 absolute error 2.5804011705155006e-16 relative error 1.45898899395894e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.551999999999939 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5519999999999214 Order of pole (three term test) 2.637348899427225e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.447000000000061 y[1] (closed_form) -0.001766135265956256 y[1] (numeric) -0.0017661352659559977 absolute error 2.5825695748604716e-16 relative error 1.4622716756987272e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.552999999999939 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5529999999999253 Order of pole (three term test) 6.698130694316576e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.446000000000061 y[1] (closed_form) -0.0017636519490462146 y[1] (numeric) -0.0017636519490459562 absolute error 2.5847379792054426e-16 relative error 1.4655601297088532e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.553999999999939 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5539999999999377 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.445000000000061 y[1] (closed_form) -0.001761172821030947 y[1] (numeric) -0.0017611728210306884 absolute error 2.5869063835504136e-16 relative error 1.4688543637847548e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.554999999999939 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5549999999999273 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4440000000000612 y[1] (closed_form) -0.0017586978736692344 y[1] (numeric) -0.0017586978736689753 absolute error 2.5912431922403556e-16 relative error 1.4733873458515943e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5559999999999388 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5559999999999454 Order of pole (three term test) 7.022312087011306e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4430000000000613 y[1] (closed_form) -0.001756227098738382 y[1] (numeric) -0.0017562270987381227 absolute error 2.5934115965853266e-16 relative error 1.4766948980848498e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5569999999999387 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.556999999999928 Order of pole (three term test) 1.4267518486238505e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4420000000000615 y[1] (closed_form) -0.0017537604880341737 y[1] (numeric) -0.0017537604880339143 absolute error 2.5934115965853266e-16 relative error 1.478771824476634e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5579999999999385 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.557999999999897 Order of pole (three term test) 2.1740829115535417e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4410000000000616 y[1] (closed_form) -0.0017512980333708249 y[1] (numeric) -0.001751298033370565 absolute error 2.5977484052752686e-16 relative error 1.4833274267288657e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5589999999999384 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.558999999999907 Order of pole (three term test) 1.4723780070095295e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4400000000000617 y[1] (closed_form) -0.0017488397265809348 y[1] (numeric) -0.0017488397265806748 absolute error 2.5999168096202396e-16 relative error 1.486652418802952e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5599999999999383 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.559999999999921 Order of pole (three term test) 1.495725438642433e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.439000000000062 y[1] (closed_form) -0.0017463855595154418 y[1] (numeric) -0.0017463855595151814 absolute error 2.6042536183101817e-16 relative error 1.4912248925333343e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.560999999999938 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5609999999999356 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.438000000000062 y[1] (closed_form) -0.0017439355240435757 y[1] (numeric) -0.0017439355240433147 absolute error 2.6107588313450947e-16 relative error 1.4970500889228172e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.561999999999938 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.561999999999932 Order of pole (three term test) 1.5435163729590435e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.437000000000062 y[1] (closed_form) -0.0017414896120528116 y[1] (numeric) -0.0017414896120525505 absolute error 2.6107588313450947e-16 relative error 1.4991526870307406e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.562999999999938 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5629999999999535 Order of pole (three term test) 7.839855345554473e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.436000000000062 y[1] (closed_form) -0.0017390478154488253 y[1] (numeric) -0.001739047815448564 absolute error 2.6129272356900657e-16 relative error 1.502504538678083e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.563999999999938 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5639999999999166 Order of pole (three term test) 1.5928061869575213e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4350000000000622 y[1] (closed_form) -0.0017366101261554459 y[1] (numeric) -0.0017366101261551844 absolute error 2.6150956400350367e-16 relative error 1.5058622546583934e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5649999999999378 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5649999999999404 Order of pole (three term test) 8.090137675844404e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4340000000000623 y[1] (closed_form) -0.0017341765361146104 y[1] (numeric) -0.001734176536114349 absolute error 2.6150956400350367e-16 relative error 1.5079754486207666e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5659999999999377 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5659999999999386 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4330000000000624 y[1] (closed_form) -0.001731747037286319 y[1] (numeric) -0.0017317470372860571 absolute error 2.6194324487249787e-16 relative error 1.5125953111660465e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5669999999999376 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.566999999999924 Order of pole (three term test) 8.348262968864106e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4320000000000626 y[1] (closed_form) -0.0017293216216485875 y[1] (numeric) -0.001729321621648325 absolute error 2.6237692574149207e-16 relative error 1.517224572091826e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5679999999999374 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5679999999999072 Order of pole (three term test) 1.6960683617676973e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4310000000000627 y[1] (closed_form) -0.0017269002811974032 y[1] (numeric) -0.0017269002811971406 absolute error 2.6259376617598917e-16 relative error 1.5206075824708946e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5689999999999373 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5689999999999262 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4300000000000628 y[1] (closed_form) -0.0017244830079466804 y[1] (numeric) -0.0017244830079464176 absolute error 2.6281060661048627e-16 relative error 1.5239964986573653e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5699999999999372 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5699999999999203 Order of pole (three term test) 1.750137199077804e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.429000000000063 y[1] (closed_form) -0.0017220697939282139 y[1] (numeric) -0.0017220697939279506 absolute error 2.632442874794805e-16 relative error 1.5286505135137054e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.570999999999937 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5709999999999322 Order of pole (three term test) 8.889014377726507e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.428000000000063 y[1] (closed_form) -0.0017196606311916337 y[1] (numeric) -0.0017196606311913707 absolute error 2.630274470449834e-16 relative error 1.5295311311669634e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.571999999999937 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.571999999999881 Order of pole (three term test) 2.7088469290615904e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.427000000000063 y[1] (closed_form) -0.0017172555118043628 y[1] (numeric) -0.0017172555118040993 absolute error 2.634611279139776e-16 relative error 1.5341987613546946e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.572999999999937 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5729999999999356 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.426000000000063 y[1] (closed_form) -0.0017148544278515682 y[1] (numeric) -0.0017148544278513045 absolute error 2.636779683484747e-16 relative error 1.5376113801030914e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.573999999999937 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.573999999999935 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4250000000000633 y[1] (closed_form) -0.00171245737143612 y[1] (numeric) -0.001712457371435856 absolute error 2.641116492174689e-16 relative error 1.5422961973995103e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5749999999999367 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5749999999999127 Order of pole (three term test) 9.464127480380982e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4240000000000634 y[1] (closed_form) -0.001710064334678544 y[1] (numeric) -0.0017100643346782802 absolute error 2.638948087829718e-16 relative error 1.543186437091435e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5759999999999366 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5759999999999255 Order of pole (three term test) 9.613522892111968e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4230000000000635 y[1] (closed_form) -0.0017076753097169809 y[1] (numeric) -0.0017076753097167165 absolute error 2.64328489651966e-16 relative error 1.5478849412876626e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5769999999999365 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5769999999999045 Order of pole (three term test) 1.9530467624486445e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4220000000000637 y[1] (closed_form) -0.0017052902887071376 y[1] (numeric) -0.001705290288706873 absolute error 2.645453300864631e-16 relative error 1.55132138990264e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5779999999999363 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5779999999999204 Order of pole (three term test) 9.919295466855819e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4210000000000638 y[1] (closed_form) -0.0017029092638222464 y[1] (numeric) -0.0017029092638219815 absolute error 2.649790109554573e-16 relative error 1.5560371687725836e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5789999999999362 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5789999999999496 Order of pole (three term test) 1.0075743607856782e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.420000000000064 y[1] (closed_form) -0.001700532227253019 y[1] (numeric) -0.001700532227252754 absolute error 2.649790109554573e-16 relative error 1.5582122273771618e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.579999999999936 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.579999999999929 Order of pole (three term test) 1.0234614520678087e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.419000000000064 y[1] (closed_form) -0.0016981591712076044 y[1] (numeric) -0.0016981591712073394 absolute error 2.649790109554573e-16 relative error 1.5603897175729643e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.580999999999936 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.580999999999924 Order of pole (three term test) 1.039594503208647e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.418000000000064 y[1] (closed_form) -0.0016957900879115441 y[1] (numeric) -0.0016957900879112785 absolute error 2.656295322589486e-16 relative error 1.5664057370808525e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.581999999999936 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.581999999999889 Order of pole (three term test) 2.1119545036208526e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.417000000000064 y[1] (closed_form) -0.001693424969607727 y[1] (numeric) -0.0016934249696074612 absolute error 2.658463726934457e-16 relative error 1.569873938702035e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.582999999999936 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.582999999999911 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4160000000000643 y[1] (closed_form) -0.0016910638085563489 y[1] (numeric) -0.0016910638085560828 absolute error 2.660632131279428e-16 relative error 1.573348159789898e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5839999999999357 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5839999999999326 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4150000000000644 y[1] (closed_form) -0.0016887065970348665 y[1] (numeric) -0.0016887065970346005 absolute error 2.660632131279428e-16 relative error 1.5755443461588455e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5849999999999356 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5849999999999027 Order of pole (three term test) 2.2133237984845869e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4140000000000645 y[1] (closed_form) -0.0016863533273379567 y[1] (numeric) -0.0016863533273376898 absolute error 2.669305748659312e-16 relative error 1.5828864007242327e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5859999999999355 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5859999999999133 Order of pole (three term test) 1.1240819405880821e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4130000000000646 y[1] (closed_form) -0.001684003991777469 y[1] (numeric) -0.001684003991777202 absolute error 2.671474153004283e-16 relative error 1.586382316222741e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5869999999999354 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.586999999999917 Order of pole (three term test) 2.283542439638996e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4120000000000648 y[1] (closed_form) -0.0016816585826823882 y[1] (numeric) -0.0016816585826821204 absolute error 2.677979366039196e-16 relative error 1.592463175115838e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5879999999999352 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.587999999999912 Order of pole (three term test) 1.1597338213751198e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.411000000000065 y[1] (closed_form) -0.0016793170923987862 y[1] (numeric) -0.0016793170923985181 absolute error 2.680147770384167e-16 relative error 1.595974805779988e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.588999999999935 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.588999999999903 Order of pole (three term test) 1.1779738904914649e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.410000000000065 y[1] (closed_form) -0.0016769795132897832 y[1] (numeric) -0.0016769795132895147 absolute error 2.684484579074109e-16 relative error 1.6007855539080928e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.589999999999935 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5899999999999097 Order of pole (three term test) 2.3929912681813284e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.409000000000065 y[1] (closed_form) -0.0016746458377355016 y[1] (numeric) -0.0016746458377352336 absolute error 2.680147770384167e-16 relative error 1.600426615581197e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.590999999999935 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5909999999999425 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.408000000000065 y[1] (closed_form) -0.0016723160581330278 y[1] (numeric) -0.0016723160581327593 absolute error 2.684484579074109e-16 relative error 1.605249537620936e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.591999999999935 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5919999999999095 Order of pole (three term test) 1.2344012862692763e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4070000000000653 y[1] (closed_form) -0.0016699901668963645 y[1] (numeric) -0.0016699901668960956 absolute error 2.688821387764051e-16 relative error 1.6100821675861478e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5929999999999347 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5929999999999302 Order of pole (three term test) 1.2537939252889832e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4060000000000654 y[1] (closed_form) -0.001667668156456392 y[1] (numeric) -0.0016676681564561226 absolute error 2.695326600798964e-16 relative error 1.616224780909789e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5939999999999346 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.593999999999901 Order of pole (three term test) 1.2734857015379854e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4050000000000655 y[1] (closed_form) -0.0016653500192608242 y[1] (numeric) -0.0016653500192605546 absolute error 2.695326600798964e-16 relative error 1.618474536659447e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5949999999999345 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.594999999999918 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4040000000000656 y[1] (closed_form) -0.001663035747774168 y[1] (numeric) -0.0016630357477738986 absolute error 2.695326600798964e-16 relative error 1.6207267970074784e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5959999999999344 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.595999999999919 Order of pole (three term test) 1.3137848494737473e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4030000000000658 y[1] (closed_form) -0.0016607253344776808 y[1] (numeric) -0.0016607253344774109 absolute error 2.699663409488906e-16 relative error 1.625592958355142e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.5969999999999342 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.596999999999931 Order of pole (three term test) 6.672007411139234e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.402000000000066 y[1] (closed_form) -0.001658418771869327 y[1] (numeric) -0.0016584187718690568 absolute error 2.701831813833877e-16 relative error 1.629161379298934e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.597999999999934 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5979999999999466 Order of pole (three term test) 6.776678881604413e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.401000000000066 y[1] (closed_form) -0.0016561160524637382 y[1] (numeric) -0.001656116052463468 absolute error 2.701831813833877e-16 relative error 1.6314266200212654e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.598999999999934 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.598999999999898 Order of pole (three term test) 2.0648888039208395e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.400000000000066 y[1] (closed_form) -0.0016538171687921722 y[1] (numeric) -0.0016538171687919012 absolute error 2.710505431213761e-16 relative error 1.638938984527121e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.599999999999934 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5999999999999286 Order of pole (three term test) 1.3981766365927885e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.399000000000066 y[1] (closed_form) -0.001651522113402467 y[1] (numeric) -0.0016515221134021962 absolute error 2.70833702686879e-16 relative error 1.6399035803941324e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.600999999999934 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.600999999999914 Order of pole (three term test) 7.100465130362446e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3980000000000663 y[1] (closed_form) -0.001649230878859006 y[1] (numeric) -0.001649230878858735 absolute error 2.710505431213761e-16 relative error 1.6434966540821628e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6019999999999337 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6019999999999226 Order of pole (three term test) 7.211733627914651e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3970000000000664 y[1] (closed_form) -0.0016469434577426713 y[1] (numeric) -0.0016469434577423999 absolute error 2.714842239903703e-16 relative error 1.6484125348326846e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6029999999999336 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.602999999999917 Order of pole (three term test) 7.324714153848858e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3960000000000665 y[1] (closed_form) -0.0016446598426508052 y[1] (numeric) -0.0016446598426505333 absolute error 2.719179048593645e-16 relative error 1.6533382636806937e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6039999999999335 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6039999999999357 Order of pole (three term test) 7.439432564052673e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3950000000000666 y[1] (closed_form) -0.0016423800261971678 y[1] (numeric) -0.0016423800261968957 absolute error 2.721347452938616e-16 relative error 1.6569535731871583e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6049999999999334 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.604999999999911 Order of pole (three term test) 1.511183019512678e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3940000000000667 y[1] (closed_form) -0.0016401040010118975 y[1] (numeric) -0.0016401040010116251 absolute error 2.723515857283587e-16 relative error 1.6605750949959606e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6059999999999333 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6059999999999333 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.393000000000067 y[1] (closed_form) -0.0016378317597414687 y[1] (numeric) -0.0016378317597411961 absolute error 2.725684261628558e-16 relative error 1.6642028373285464e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.606999999999933 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.606999999999905 Order of pole (three term test) 7.794279439899282e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.392000000000067 y[1] (closed_form) -0.0016355632950486518 y[1] (numeric) -0.0016355632950483792 absolute error 2.725684261628558e-16 relative error 1.6665110239879034e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.607999999999933 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6079999999999033 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.391000000000067 y[1] (closed_form) -0.0016332985996124732 y[1] (numeric) -0.0016332985996122 absolute error 2.732189474663471e-16 relative error 1.6728046392201202e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.608999999999933 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.608999999999908 Order of pole (three term test) 1.608004993954718e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.390000000000067 y[1] (closed_form) -0.0016310376661281727 y[1] (numeric) -0.0016310376661278993 absolute error 2.734357879008442e-16 relative error 1.6764529328739404e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.609999999999933 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6099999999999137 Order of pole (three term test) 1.6331471019882378e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3890000000000673 y[1] (closed_form) -0.001628780487307165 y[1] (numeric) -0.001628780487306892 absolute error 2.7300210703185e-16 relative error 1.67611356569724e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6109999999999327 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6109999999999127 Order of pole (three term test) 1.6586751942553248e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3880000000000674 y[1] (closed_form) -0.0016265270558770007 y[1] (numeric) -0.001626527055876727 absolute error 2.736526283353413e-16 relative error 1.6824351451552808e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6119999999999326 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6119999999999 Order of pole (three term test) 1.6845950870649073e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3870000000000675 y[1] (closed_form) -0.0016242773645813212 y[1] (numeric) -0.0016242773645810476 absolute error 2.736526283353413e-16 relative error 1.6847653873812303e-11% Desired digits 12 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6129999999999325 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.612999999999913 Order of pole (three term test) 1.7109126827235672e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3860000000000676 y[1] (closed_form) -0.0016220314061798245 y[1] (numeric) -0.0016220314061795504 absolute error 2.740863092043355e-16 relative error 1.6897719005938242e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6139999999999324 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6139999999999217 Order of pole (three term test) 8.688169853913269e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3850000000000677 y[1] (closed_form) -0.0016197891734482206 y[1] (numeric) -0.0016197891734479465 absolute error 2.740863092043355e-16 relative error 1.6921110086250196e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6149999999999323 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.614999999999906 Order of pole (three term test) 1.7647650293032763e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.384000000000068 y[1] (closed_form) -0.0016175506591781948 y[1] (numeric) -0.0016175506591779205 absolute error 2.743031496388326e-16 relative error 1.695793254340447e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.615999999999932 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6159999999999184 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.383000000000068 y[1] (closed_form) -0.0016153158561773666 y[1] (numeric) -0.001615315856177092 absolute error 2.745199900733297e-16 relative error 1.699481801181469e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.616999999999932 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.616999999999894 Order of pole (three term test) 2.730421830356914e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.382000000000068 y[1] (closed_form) -0.00161308475726925 y[1] (numeric) -0.001613084757268975 absolute error 2.749536709423239e-16 relative error 1.7045209168536562e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.617999999999932 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.617999999999914 Order of pole (three term test) 9.243394814802292e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.381000000000068 y[1] (closed_form) -0.0016108573552932137 y[1] (numeric) -0.0016108573552929388 absolute error 2.749536709423239e-16 relative error 1.706877831477983e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.618999999999932 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6189999999999407 Order of pole (three term test) 9.387558497097197e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3800000000000683 y[1] (closed_form) -0.0016086336431044438 y[1] (numeric) -0.0016086336431041684 absolute error 2.7538735181131813e-16 relative error 1.7119333105570145e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6199999999999317 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.619999999999911 Order of pole (three term test) 9.533929849183459e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3790000000000684 y[1] (closed_form) -0.0016064136135739012 y[1] (numeric) -0.0016064136135736256 absolute error 2.7560419224581523e-16 relative error 1.715649007933014e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6209999999999316 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6209999999999165 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3780000000000685 y[1] (closed_form) -0.0016041972595882857 y[1] (numeric) -0.0016041972595880096 absolute error 2.7603787311480943e-16 relative error 1.720722756911167e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6219999999999315 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6219999999999186 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3770000000000686 y[1] (closed_form) -0.0016019845740499943 y[1] (numeric) -0.001601984574049718 absolute error 2.7625471354930653e-16 relative error 1.7244530192379073e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6229999999999314 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.62299999999993 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3760000000000687 y[1] (closed_form) -0.0015997755498770839 y[1] (numeric) -0.0015997755498768074 absolute error 2.7647155398380363e-16 relative error 1.7281896451351935e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6239999999999313 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6239999999999113 Order of pole (three term test) 1.0142163009933553e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.375000000000069 y[1] (closed_form) -0.0015975701800032317 y[1] (numeric) -0.0015975701800029552 absolute error 2.7647155398380363e-16 relative error 1.7305753289864508e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.624999999999931 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.624999999999903 Order of pole (three term test) 1.0300080359048352e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.374000000000069 y[1] (closed_form) -0.0015953684573776974 y[1] (numeric) -0.0015953684573774204 absolute error 2.7690523485279783e-16 relative error 1.735682021117217e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.625999999999931 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6259999999999253 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.373000000000069 y[1] (closed_form) -0.0015931703749652824 y[1] (numeric) -0.001593170374965005 absolute error 2.7733891572179203e-16 relative error 1.7407988503918526e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.626999999999931 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6269999999999385 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.372000000000069 y[1] (closed_form) -0.0015909759257462933 y[1] (numeric) -0.001590975925746016 absolute error 2.7733891572179203e-16 relative error 1.743199951889267e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.627999999999931 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6279999999998966 Order of pole (three term test) 1.0788463384403613e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3710000000000693 y[1] (closed_form) -0.0015887851027165036 y[1] (numeric) -0.001588785102716226 absolute error 2.7755575615628914e-16 relative error 1.7469685213042627e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6289999999999307 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6289999999999294 Order of pole (three term test) 1.0956257265394556e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3700000000000694 y[1] (closed_form) -0.0015865978988871135 y[1] (numeric) -0.0015865978988868358 absolute error 2.7777259659078624e-16 relative error 1.750743504612127e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6299999999999306 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.629999999999916 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3690000000000695 y[1] (closed_form) -0.001584414307284713 y[1] (numeric) -0.0015844143072844354 absolute error 2.7755575615628914e-16 relative error 1.7517877418814136e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6309999999999305 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.630999999999917 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3680000000000696 y[1] (closed_form) -0.0015822343209512448 y[1] (numeric) -0.0015822343209509666 absolute error 2.7820627745978044e-16 relative error 1.7583127465755e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6319999999999304 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6319999999999024 Order of pole (three term test) 2.295033501100297e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3670000000000697 y[1] (closed_form) -0.0015800579329439627 y[1] (numeric) -0.0015800579329436847 absolute error 2.7798943702528334e-16 relative error 1.7593623070980292e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6329999999999303 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6329999999998854 Order of pole (three term test) 2.3306887408675266e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.36600000000007 y[1] (closed_form) -0.0015778851363353991 y[1] (numeric) -0.0015778851363351203 absolute error 2.7885679876327174e-16 relative error 1.7672819924706943e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.63399999999993 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.633999999999909 Order of pole (three term test) 2.366887871852952e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.36500000000007 y[1] (closed_form) -0.0015757159242133212 y[1] (numeric) -0.001575715924213042 absolute error 2.7929047963226594e-16 relative error 1.7724672026253857e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.63499999999993 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.634999999999935 Order of pole (three term test) 1.2018195187822674e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.36400000000007 y[1] (closed_form) -0.0015735502896806973 y[1] (numeric) -0.0015735502896804183 absolute error 2.7907363919776884e-16 relative error 1.7735285680281505e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.63599999999993 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.635999999999901 Order of pole (three term test) 1.2204752505746245e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.36300000000007 y[1] (closed_form) -0.0015713882258556599 y[1] (numeric) -0.0015713882258553804 absolute error 2.7950732006676304e-16 relative error 1.7787286137680227e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.63699999999993 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6369999999999396 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3620000000000703 y[1] (closed_form) -0.0015692297258714637 y[1] (numeric) -0.001569229725871184 absolute error 2.7972416050126014e-16 relative error 1.7825571099598992e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6379999999999297 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.637999999999912 Order of pole (three term test) 1.2586439915449456e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3610000000000704 y[1] (closed_form) -0.001567074782876453 y[1] (numeric) -0.001567074782876173 absolute error 2.7994100093575724e-16 relative error 1.786392098160816e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6389999999999296 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6389999999998928 Order of pole (three term test) 1.2781655707866138e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3600000000000705 y[1] (closed_form) -0.0015649233900340215 y[1] (numeric) -0.0015649233900337414 absolute error 2.8015784137025435e-16 relative error 1.790233586860528e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6399999999999295 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6399999999999344 Order of pole (three term test) 1.2979844408779274e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3590000000000706 y[1] (closed_form) -0.0015627755405225763 y[1] (numeric) -0.0015627755405222962 absolute error 2.8015784137025435e-16 relative error 1.792694050462118e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6409999999999294 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6409999999999405 Order of pole (three term test) 1.318105045666186e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3580000000000707 y[1] (closed_form) -0.0015606312275355011 y[1] (numeric) -0.0015606312275352203 absolute error 2.8080836267374565e-16 relative error 1.7993255403276097e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6419999999999293 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6419999999999177 Order of pole (three term test) 2.007797841264584e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.357000000000071 y[1] (closed_form) -0.0015584904442811172 y[1] (numeric) -0.0015584904442808361 absolute error 2.8102520310824275e-16 relative error 1.8031884901153236e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.642999999999929 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6429999999999163 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.356000000000071 y[1] (closed_form) -0.0015563531839826491 y[1] (numeric) -0.0015563531839823679 absolute error 2.8124204354273985e-16 relative error 1.807057976538796e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.643999999999929 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6439999999999277 Order of pole (three term test) 6.901613449950878e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.355000000000071 y[1] (closed_form) -0.001554219439878187 y[1] (numeric) -0.0015542194398779055 absolute error 2.8145888397723695e-16 relative error 1.8109340081301294e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.644999999999929 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6449999999998877 Order of pole (three term test) 2.10254398460596e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.354000000000071 y[1] (closed_form) -0.0015520892052206493 y[1] (numeric) -0.0015520892052203676 absolute error 2.8167572441173405e-16 relative error 1.8148165934295656e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.645999999999929 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.645999999999901 Order of pole (three term test) 1.42339424003575e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3530000000000713 y[1] (closed_form) -0.0015499624732777469 y[1] (numeric) -0.0015499624732774647 absolute error 2.8210940528072825e-16 relative error 1.8201047454016354e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6469999999999287 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.646999999999901 Order of pole (three term test) 1.4454222901309951e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3520000000000714 y[1] (closed_form) -0.0015478392373319456 y[1] (numeric) -0.0015478392373316635 absolute error 2.8210940528072825e-16 relative error 1.82260145935445e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6479999999999286 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6479999999999317 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3510000000000715 y[1] (closed_form) -0.001545719490680432 y[1] (numeric) -0.0015457194906801496 absolute error 2.8232624571522535e-16 relative error 1.8265037571011297e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6489999999999285 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6489999999998837 Order of pole (three term test) 2.9809750854847157e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3500000000000716 y[1] (closed_form) -0.0015436032266350744 y[1] (numeric) -0.0015436032266347918 absolute error 2.8254308614972246e-16 relative error 1.8304126427983874e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6499999999999284 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.649999999999942 Order of pole (three term test) 7.56767401435873e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3490000000000717 y[1] (closed_form) -0.0015414904385223887 y[1] (numeric) -0.0015414904385221057 absolute error 2.8297676701871666e-16 relative error 1.8357348183746563e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6509999999999283 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6509999999999163 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.348000000000072 y[1] (closed_form) -0.0015393811196835014 y[1] (numeric) -0.001539381119683218 absolute error 2.8341044788771086e-16 relative error 1.8410674540816794e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.651999999999928 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.651999999999936 Order of pole (three term test) 7.803421445329305e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.347000000000072 y[1] (closed_form) -0.0015372752634741132 y[1] (numeric) -0.0015372752634738298 absolute error 2.8341044788771086e-16 relative error 1.8435894639144e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.652999999999928 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6529999999999307 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.346000000000072 y[1] (closed_form) -0.0015351728632644653 y[1] (numeric) -0.0015351728632641815 absolute error 2.8384412875670506e-16 relative error 1.848939201238389e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.653999999999928 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.653999999999894 Order of pole (three term test) 2.413913314447478e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.345000000000072 y[1] (closed_form) -0.0015330739124393001 y[1] (numeric) -0.0015330739124390165 absolute error 2.8362728832220796e-16 relative error 1.8500561911651326e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.654999999999928 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6549999999999208 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3440000000000722 y[1] (closed_form) -0.0015309784043978294 y[1] (numeric) -0.0015309784043975455 absolute error 2.8384412875670506e-16 relative error 1.8540047850534363e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6559999999999278 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6559999999999127 Order of pole (three term test) 1.6593518263048262e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3430000000000724 y[1] (closed_form) -0.0015288863325536959 y[1] (numeric) -0.0015288863325534116 absolute error 2.8427780962569926e-16 relative error 1.8593783172282703e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6569999999999276 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6569999999999334 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3420000000000725 y[1] (closed_form) -0.0015267976903349382 y[1] (numeric) -0.0015267976903346537 absolute error 2.8449465006019636e-16 relative error 1.863342156338905e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6579999999999275 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6579999999999115 Order of pole (three term test) 8.554788370947131e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3410000000000726 y[1] (closed_form) -0.0015247124711839566 y[1] (numeric) -0.001524712471183672 absolute error 2.8449465006019636e-16 relative error 1.8658904904167476e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6589999999999274 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.65899999999993 Order of pole (three term test) 8.686742296330902e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3400000000000727 y[1] (closed_form) -0.0015226306685574775 y[1] (numeric) -0.0015226306685571928 absolute error 2.8471149049469346e-16 relative error 1.8698657289257532e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6599999999999273 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.659999999999906 Order of pole (three term test) 1.7641389318441688e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.339000000000073 y[1] (closed_form) -0.001520552275926517 y[1] (numeric) -0.001520552275926232 absolute error 2.8492833092919057e-16 relative error 1.873847650226793e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.660999999999927 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.660999999999957 Order of pole (three term test) 1.7913350334833384e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.338000000000073 y[1] (closed_form) -0.0015184772867763473 y[1] (numeric) -0.001518477286776062 absolute error 2.8536201179818477e-16 relative error 1.879264275358338e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.661999999999927 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6619999999999 Order of pole (three term test) 1.8189427924083786e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.337000000000073 y[1] (closed_form) -0.0015164056946064602 y[1] (numeric) -0.0015164056946061746 absolute error 2.8557885223268187e-16 relative error 1.883261539101485e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.662999999999927 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6629999999999154 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.336000000000073 y[1] (closed_form) -0.0015143374929305338 y[1] (numeric) -0.001514337492930248 absolute error 2.8579569266717897e-16 relative error 1.8872655138063672e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.663999999999927 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6639999999999073 Order of pole (three term test) 9.377089178983383e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3350000000000732 y[1] (closed_form) -0.001512272675276396 y[1] (numeric) -0.0015122726752761103 absolute error 2.8579569266717897e-16 relative error 1.889842336898301e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6649999999999268 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6649999999998903 Order of pole (three term test) 1.9042976212803112e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3340000000000733 y[1] (closed_form) -0.0015102112351859922 y[1] (numeric) -0.0015102112351857062 absolute error 2.8601253310167607e-16 relative error 1.8938578023918077e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6659999999999267 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.665999999999921 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3330000000000735 y[1] (closed_form) -0.0015081531662153476 y[1] (numeric) -0.0015081531662150614 absolute error 2.8622937353617317e-16 relative error 1.8978800028279273e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6669999999999265 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6669999999999323 Order of pole (three term test) 9.816868292153239e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3320000000000736 y[1] (closed_form) -0.0015060984619345349 y[1] (numeric) -0.0015060984619342484 absolute error 2.8644621397067027e-16 relative error 1.9019089469272767e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6679999999999264 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6679999999999167 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3310000000000737 y[1] (closed_form) -0.0015040471159276391 y[1] (numeric) -0.0015040471159273522 absolute error 2.8687989483966447e-16 relative error 1.9073863564621636e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6689999999999263 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.668999999999904 Order of pole (three term test) 1.0121243301766092e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.330000000000074 y[1] (closed_form) -0.0015019991217927226 y[1] (numeric) -0.001501999121792436 absolute error 2.8666305440516737e-16 relative error 1.9085434222026608e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.669999999999926 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6699999999999036 Order of pole (three term test) 2.0553775107638451e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.329000000000074 y[1] (closed_form) -0.0014999544731417926 y[1] (numeric) -0.001499954473141506 absolute error 2.8666305440516737e-16 relative error 1.9111450349871303e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.670999999999926 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.670999999999926 Order of pole (three term test) 1.0434881914207961e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.328000000000074 y[1] (closed_form) -0.0014979131636007662 y[1] (numeric) -0.0014979131636004789 absolute error 2.8731357570865868e-16 relative error 1.9180923346584287e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.671999999999926 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.671999999999921 Order of pole (three term test) 1.0595261213029902e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.327000000000074 y[1] (closed_form) -0.001495875186809434 y[1] (numeric) -0.0014958751868091467 absolute error 2.8731357570865868e-16 relative error 1.9207055390862686e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.672999999999926 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6729999999999 Order of pole (three term test) 1.0758060786888854e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3260000000000742 y[1] (closed_form) -0.0014938405364214302 y[1] (numeric) -0.0014938405364211427 absolute error 2.875304161431558e-16 relative error 1.924773154381988e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6739999999999258 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6739999999999218 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3250000000000743 y[1] (closed_form) -0.0014918092061041964 y[1] (numeric) -0.0014918092061039082 absolute error 2.881809374466471e-16 relative error 1.9317546524546578e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6749999999999257 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.674999999999892 Order of pole (three term test) 2.21821293642253e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3240000000000745 y[1] (closed_form) -0.0014897811895389463 y[1] (numeric) -0.0014897811895386583 absolute error 2.8796409701215e-16 relative error 1.932928802123407e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6759999999999255 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6759999999999127 Order of pole (three term test) 1.1261342274744394e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3230000000000746 y[1] (closed_form) -0.001487756480420637 y[1] (numeric) -0.0014877564804203485 absolute error 2.886146183156413e-16 relative error 1.9399318511725828e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6769999999999254 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6769999999998992 Order of pole (three term test) 1.143418669990716e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3220000000000747 y[1] (closed_form) -0.0014857350724579292 y[1] (numeric) -0.0014857350724576405 absolute error 2.886146183156413e-16 relative error 1.9425712138448144e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6779999999999253 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6779999999998947 Order of pole (three term test) 1.1609635937147832e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.321000000000075 y[1] (closed_form) -0.0014837169593731583 y[1] (numeric) -0.0014837169593728695 absolute error 2.888314587501384e-16 relative error 1.946674916165709e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.678999999999925 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.678999999999892 Order of pole (three term test) 2.3575457034822774e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.320000000000075 y[1] (closed_form) -0.0014817021349022995 y[1] (numeric) -0.0014817021349020102 absolute error 2.892651396191326e-16 relative error 1.9522489224071082e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.679999999999925 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.679999999999905 Order of pole (three term test) 1.1968503530893112e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.319000000000075 y[1] (closed_form) -0.0014796905927949328 y[1] (numeric) -0.0014796905927946438 absolute error 2.890482991846355e-16 relative error 1.9534374320692467e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.680999999999925 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.680999999999903 Order of pole (three term test) 1.215200063500026e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.318000000000075 y[1] (closed_form) -0.001477682326814214 y[1] (numeric) -0.0014776823268139244 absolute error 2.896988204881268e-16 relative error 1.960494588256316e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.681999999999925 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.681999999999887 Order of pole (three term test) 2.467652012485053e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.317000000000075 y[1] (closed_form) -0.001475677330736836 y[1] (numeric) -0.001475677330736546 absolute error 2.90132501357121e-16 relative error 1.9660971630719018e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.682999999999925 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6829999999998972 Order of pole (three term test) 2.50546452586628e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3160000000000753 y[1] (closed_form) -0.0014736755983529996 y[1] (numeric) -0.0014736755983527099 absolute error 2.896988204881268e-16 relative error 1.9658249129720154e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6839999999999247 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6839999999999167 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3150000000000754 y[1] (closed_form) -0.0014716771234663808 y[1] (numeric) -0.0014716771234660909 absolute error 2.899156609226239e-16 relative error 1.9699678434883734e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6849999999999246 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.684999999999892 Order of pole (three term test) 1.2914023413507017e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3140000000000756 y[1] (closed_form) -0.0014696818998940957 y[1] (numeric) -0.0014696818998938051 absolute error 2.905661822261152e-16 relative error 1.9770685224268815e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6859999999999244 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.685999999999919 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3130000000000757 y[1] (closed_form) -0.0014676899214666676 y[1] (numeric) -0.001467689921466377 absolute error 2.905661822261152e-16 relative error 1.9797518397874628e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6869999999999243 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6869999999998915 Order of pole (three term test) 1.331244150454447e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3120000000000758 y[1] (closed_form) -0.0014657011820279969 y[1] (numeric) -0.0014657011820277063 absolute error 2.905661822261152e-16 relative error 1.9824380698395655e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6879999999999242 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.687999999999903 Order of pole (three term test) 2.0274229530433443e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.311000000000076 y[1] (closed_form) -0.0014637156754353266 y[1] (numeric) -0.0014637156754350358 absolute error 2.907830226606123e-16 relative error 1.986608653173916e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.688999999999924 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6889999999998917 Order of pole (three term test) 2.7445850596717024e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.310000000000076 y[1] (closed_form) -0.0014617333955592097 y[1] (numeric) -0.0014617333955589185 absolute error 2.912167035296065e-16 relative error 1.9922696191681167e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.689999999999924 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6899999999998987 Order of pole (three term test) 6.966401739100055e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.309000000000076 y[1] (closed_form) -0.0014597543362834771 y[1] (numeric) -0.001459754336283186 absolute error 2.912167035296065e-16 relative error 1.9949706350661844e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.690999999999924 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.690999999999923 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.308000000000076 y[1] (closed_form) -0.0014577784915052062 y[1] (numeric) -0.0014577784915049147 absolute error 2.914335439641036e-16 relative error 1.999162051452608e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.691999999999924 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6919999999999193 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3070000000000763 y[1] (closed_form) -0.0014558058551346867 y[1] (numeric) -0.001455805855134395 absolute error 2.916503843986007e-16 relative error 2.0033604300321906e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6929999999999237 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6929999999999215 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3060000000000764 y[1] (closed_form) -0.0014538364210953903 y[1] (numeric) -0.0014538364210950983 absolute error 2.920840652675949e-16 relative error 2.0090572847770914e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6939999999999236 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6939999999998983 Order of pole (three term test) 1.480430106184668e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3050000000000765 y[1] (closed_form) -0.0014518701833239368 y[1] (numeric) -0.0014518701833236447 absolute error 2.920840652675949e-16 relative error 2.0117781095200436e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6949999999999235 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.694999999999895 Order of pole (three term test) 2.2545613547236686e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3040000000000767 y[1] (closed_form) -0.0014499071357700643 y[1] (numeric) -0.0014499071357697722 absolute error 2.920840652675949e-16 relative error 2.0145018812702463e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6959999999999233 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.695999999999882 Order of pole (three term test) 2.288986167877871e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3030000000000768 y[1] (closed_form) -0.0014479472723965957 y[1] (numeric) -0.0014479472723963032 absolute error 2.925177461365891e-16 relative error 2.0202237451120933e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.6969999999999232 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6969999999999104 Order of pole (three term test) 7.746423618029685e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.302000000000077 y[1] (closed_form) -0.0014459905871794065 y[1] (numeric) -0.001445990587179114 absolute error 2.925177461365891e-16 relative error 2.0229574710246433e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.697999999999923 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.697999999999915 Order of pole (three term test) 7.864639007056238e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.301000000000077 y[1] (closed_form) -0.0014440370741073945 y[1] (numeric) -0.0014440370741071022 absolute error 2.92300905702092e-16 relative error 2.024192529009496e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.698999999999923 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.698999999999898 Order of pole (three term test) 1.5969251483097632e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.300000000000077 y[1] (closed_form) -0.0014420867271824483 y[1] (numeric) -0.0014420867271821554 absolute error 2.929514270055833e-16 relative error 2.031441115736169e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.699999999999923 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6999999999999087 Order of pole (three term test) 8.106409873770024e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.299000000000077 y[1] (closed_form) -0.0014401395404194128 y[1] (numeric) -0.0014401395404191196 absolute error 2.931682674400804e-16 relative error 2.0356934811657265e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.700999999999923 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7009999999999237 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2980000000000773 y[1] (closed_form) -0.0014381955078460614 y[1] (numeric) -0.001438195507845768 absolute error 2.933851078745775e-16 relative error 2.0399528873092562e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7019999999999227 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7019999999999063 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2970000000000774 y[1] (closed_form) -0.0014362546235030622 y[1] (numeric) -0.0014362546235027688 absolute error 2.933851078745775e-16 relative error 2.0427095799977558e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7029999999999226 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7029999999999146 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2960000000000775 y[1] (closed_form) -0.0014343168814439481 y[1] (numeric) -0.0014343168814436545 absolute error 2.936019483090746e-16 relative error 2.0469810549360693e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7039999999999225 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.703999999999908 Order of pole (three term test) 8.612054696371439e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2950000000000776 y[1] (closed_form) -0.0014323822757350848 y[1] (numeric) -0.001432382275734791 absolute error 2.938187887435717e-16 relative error 2.051259595437166e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7049999999999224 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7049999999999415 Order of pole (three term test) 8.743229947900569e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2940000000000778 y[1] (closed_form) -0.0014304508004556395 y[1] (numeric) -0.0014304508004553452 absolute error 2.942524696125659e-16 relative error 2.0570610993320294e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7059999999999222 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.705999999999936 Order of pole (three term test) 8.876366994947768e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.293000000000078 y[1] (closed_form) -0.00142852244969755 y[1] (numeric) -0.0014285224496972556 absolute error 2.94469310047063e-16 relative error 2.0613558443509845e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.706999999999922 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.706999999999902 Order of pole (three term test) 9.011494635936719e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.292000000000078 y[1] (closed_form) -0.001426597217565494 y[1] (numeric) -0.0014265972175651997 absolute error 2.942524696125659e-16 relative error 2.0626177171066648e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.707999999999922 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.707999999999931 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.291000000000078 y[1] (closed_form) -0.0014246750981768593 y[1] (numeric) -0.0014246750981765643 absolute error 2.949029909160572e-16 relative error 2.069966628134662e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.708999999999922 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7089999999999117 Order of pole (three term test) 9.287838973339194e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.290000000000078 y[1] (closed_form) -0.0014227560856617096 y[1] (numeric) -0.0014227560856614142 absolute error 2.953366717850514e-16 relative error 2.075806772231751e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.709999999999922 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7099999999998663 Order of pole (three term test) 2.8287346092500653e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2890000000000783 y[1] (closed_form) -0.0014208401741627572 y[1] (numeric) -0.0014208401741624614 absolute error 2.957703526540456e-16 relative error 2.081658148695936e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7109999999999217 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7109999999998946 Order of pole (three term test) 1.9145003499462126e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2880000000000784 y[1] (closed_form) -0.0014189273578353301 y[1] (numeric) -0.0014189273578350348 absolute error 2.953366717850514e-16 relative error 2.0814079745111655e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7119999999999216 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.711999999999901 Order of pole (three term test) 9.718029061921554e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2870000000000785 y[1] (closed_form) -0.0014170176308473446 y[1] (numeric) -0.0014170176308470489 absolute error 2.957703526540456e-16 relative error 2.0872736246561846e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7129999999999215 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.71299999999987 Order of pole (three term test) 2.959718603268825e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2860000000000786 y[1] (closed_form) -0.00141511098737927 y[1] (numeric) -0.0014151109873789742 absolute error 2.957703526540456e-16 relative error 2.0900859034512956e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7139999999999214 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7139999999998956 Order of pole (three term test) 2.0031264849382525e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2850000000000787 y[1] (closed_form) -0.0014132074216241025 y[1] (numeric) -0.0014132074216238063 absolute error 2.962040335230398e-16 relative error 2.0959699828255416e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7149999999999213 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7149999999999044 Order of pole (three term test) 1.0167772588919655e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.284000000000079 y[1] (closed_form) -0.0014113069277873322 y[1] (numeric) -0.001411306927787036 absolute error 2.962040335230398e-16 relative error 2.0987924574807614e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.715999999999921 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7159999999998714 Order of pole (three term test) 3.0966545759668905e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.283000000000079 y[1] (closed_form) -0.0014094095000869147 y[1] (numeric) -0.001409409500086618 absolute error 2.96637714392034e-16 relative error 2.1046950114479937e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.716999999999921 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7169999999999264 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.282000000000079 y[1] (closed_form) -0.0014075151327532396 y[1] (numeric) -0.0014075151327529426 absolute error 2.970713952610282e-16 relative error 2.1106088904346414e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.717999999999921 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.717999999999923 Order of pole (three term test) 1.063794144010694e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.281000000000079 y[1] (closed_form) -0.0014056238200291008 y[1] (numeric) -0.0014056238200288035 absolute error 2.972882356955253e-16 relative error 2.114991446924758e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.718999999999921 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.718999999999897 Order of pole (three term test) 1.0799359508110653e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2800000000000793 y[1] (closed_form) -0.001403735556169667 y[1] (numeric) -0.0014037355561693694 absolute error 2.977219165645195e-16 relative error 2.1209259483096997e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7199999999999207 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.719999999999901 Order of pole (three term test) 1.0963182513909905e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2790000000000794 y[1] (closed_form) -0.001401850335442451 y[1] (numeric) -0.0014018503354421533 absolute error 2.977219165645195e-16 relative error 2.1237781882796548e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7209999999999206 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7209999999999184 Order of pole (three term test) 1.1129445627243463e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2780000000000795 y[1] (closed_form) -0.001399968152127281 y[1] (numeric) -0.001399968152126983 absolute error 2.979387569990166e-16 relative error 2.1281823914800664e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7219999999999205 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.72199999999992 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2770000000000796 y[1] (closed_form) -0.0013980890005162695 y[1] (numeric) -0.0013980890005159713 absolute error 2.981555974335137e-16 relative error 2.1325938286004282e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7229999999999204 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.722999999999905 Order of pole (three term test) 1.1469435385872665e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2760000000000797 y[1] (closed_form) -0.0013962128749137844 y[1] (numeric) -0.001396212874913486 absolute error 2.983724378680108e-16 relative error 2.1370125088298962e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7239999999999203 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7239999999999 Order of pole (three term test) 2.328646984491429e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.27500000000008 y[1] (closed_form) -0.0013943397696364196 y[1] (numeric) -0.001394339769636121 absolute error 2.985892783025079e-16 relative error 2.1414384413661703e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.72499999999992 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7249999999998926 Order of pole (three term test) 2.3639240727309276e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.27400000000008 y[1] (closed_form) -0.0013924696790129643 y[1] (numeric) -0.0013924696790126657 absolute error 2.985892783025079e-16 relative error 2.1443143991053322e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.72599999999992 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7259999999999107 Order of pole (three term test) 1.1998629474521738e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.27300000000008 y[1] (closed_form) -0.0013906025973843758 y[1] (numeric) -0.0013906025973840766 absolute error 2.992397996059992e-16 relative error 2.1518714273139424e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.72699999999992 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7269999999999217 Order of pole (three term test) 1.2180300561283522e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.27200000000008 y[1] (closed_form) -0.0013887385191037468 y[1] (numeric) -0.0013887385191034475 absolute error 2.992397996059992e-16 relative error 2.1547598449211323e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.72799999999992 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7279999999998754 Order of pole (three term test) 2.4729344957880015e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2710000000000803 y[1] (closed_form) -0.00138687743853628 y[1] (numeric) -0.0013868774385359807 absolute error 2.9945664004049632e-16 relative error 2.1592148788327315e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7289999999999197 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7289999999998984 Order of pole (three term test) 2.5103569277956704e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2700000000000804 y[1] (closed_form) -0.0013850193500592562 y[1] (numeric) -0.0013850193500589566 absolute error 2.9967348047499343e-16 relative error 2.163677211168005e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7299999999999196 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7299999999999165 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2690000000000805 y[1] (closed_form) -0.0013831642480620057 y[1] (numeric) -0.0013831642480617058 absolute error 2.9989032090949053e-16 relative error 2.1681468511760344e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7309999999999195 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7309999999998986 Order of pole (three term test) 1.293439016159204e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2680000000000806 y[1] (closed_form) -0.0013813121269458798 y[1] (numeric) -0.0013813121269455797 absolute error 3.0010716134398763e-16 relative error 2.172623808114485e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7319999999999194 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7319999999999194 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2670000000000807 y[1] (closed_form) -0.0013794629811242213 y[1] (numeric) -0.0013794629811239212 absolute error 3.0010716134398763e-16 relative error 2.1755361720501496e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7329999999999193 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7329999999999215 Order of pole (three term test) 6.664221925259592e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.266000000000081 y[1] (closed_form) -0.0013776168050223367 y[1] (numeric) -0.0013776168050220361 absolute error 3.0054084221298183e-16 relative error 2.181599709856246e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.733999999999919 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.733999999999873 Order of pole (three term test) 2.7059736850187593e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.265000000000081 y[1] (closed_form) -0.0013757735930774655 y[1] (numeric) -0.0013757735930771645 absolute error 3.0097452308197603e-16 relative error 2.1876748078055974e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.734999999999919 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7349999999999324 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.264000000000081 y[1] (closed_form) -0.0013739333397387522 y[1] (numeric) -0.0013739333397384515 absolute error 3.0075768264747893e-16 relative error 2.189026744955958e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.735999999999919 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7359999999999025 Order of pole (three term test) 6.970863817463026e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.263000000000081 y[1] (closed_form) -0.0013720960394672202 y[1] (numeric) -0.001372096039466919 absolute error 3.0119136351647313e-16 relative error 2.195118671382687e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.736999999999919 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7369999999998993 Order of pole (three term test) 7.076124978071456e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2620000000000813 y[1] (closed_form) -0.001370261686735738 y[1] (numeric) -0.001370261686735437 absolute error 3.0097452308197603e-16 relative error 2.196474775551544e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7379999999999187 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.737999999999884 Order of pole (three term test) 7.182946795564489e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2610000000000814 y[1] (closed_form) -0.0013684302760289962 y[1] (numeric) -0.001368430276028695 absolute error 3.0119136351647313e-16 relative error 2.200998975194342e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7389999999999186 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7389999999999004 Order of pole (three term test) 7.291351982229516e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2600000000000815 y[1] (closed_form) -0.0013666018018434754 y[1] (numeric) -0.0013666018018431737 absolute error 3.0162504438546733e-16 relative error 2.2071172742388508e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7399999999999185 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.739999999999901 Order of pole (three term test) 2.2204090724034146e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2590000000000816 y[1] (closed_form) -0.0013647762586874183 y[1] (numeric) -0.0013647762586871167 absolute error 3.0162504438546733e-16 relative error 2.2100695441138242e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7409999999999184 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.740999999999899 Order of pole (three term test) 1.5026009876777424e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2580000000000817 y[1] (closed_form) -0.0013629536410808042 y[1] (numeric) -0.0013629536410805017 absolute error 3.0249240612345574e-16 relative error 2.2193888112260612e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7419999999999183 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7419999999999165 Order of pole (three term test) 7.626299772312174e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.257000000000082 y[1] (closed_form) -0.0013611339435553153 y[1] (numeric) -0.0013611339435550132 absolute error 3.0205872525446154e-16 relative error 2.2191697347983016e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.742999999999918 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7429999999999026 Order of pole (three term test) 7.741272113539218e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.256000000000082 y[1] (closed_form) -0.0013593171606543163 y[1] (numeric) -0.001359317160654014 absolute error 3.0227556568895864e-16 relative error 2.2237309616797327e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.743999999999918 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7439999999999034 Order of pole (three term test) 1.5715892684066931e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.255000000000082 y[1] (closed_form) -0.0013575032869328192 y[1] (numeric) -0.0013575032869325165 absolute error 3.0270924655795284e-16 relative error 2.2298969694718203e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.744999999999918 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.744999999999899 Order of pole (three term test) 1.5952694370856535e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.254000000000082 y[1] (closed_form) -0.0013556923169574582 y[1] (numeric) -0.0013556923169571555 absolute error 3.0270924655795284e-16 relative error 2.23287572535127e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.745999999999918 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7459999999999303 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2530000000000823 y[1] (closed_form) -0.001353884245306463 y[1] (numeric) -0.0013538842453061602 absolute error 3.0270924655795284e-16 relative error 2.2358576636618743e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7469999999999177 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7469999999998933 Order of pole (three term test) 8.218429395047744e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2520000000000824 y[1] (closed_form) -0.001352079066569629 y[1] (numeric) -0.001352079066569326 absolute error 3.0314292742694704e-16 relative error 2.24205029810907e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7479999999999176 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7479999999999074 Order of pole (three term test) 8.3421619989908e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2510000000000825 y[1] (closed_form) -0.0013502767753482904 y[1] (numeric) -0.0013502767753479873 absolute error 3.0314292742694704e-16 relative error 2.2450428901789734e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7489999999999175 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7489999999998824 Order of pole (three term test) 8.467723703334293e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2500000000000826 y[1] (closed_form) -0.0013484773662552926 y[1] (numeric) -0.0013484773662549893 absolute error 3.0335976786144414e-16 relative error 2.2496467160132692e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7499999999999174 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7499999999998845 Order of pole (three term test) 1.7190282096709829e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2490000000000827 y[1] (closed_form) -0.001346680833914964 y[1] (numeric) -0.0013466808339146605 absolute error 3.0357660829594124e-16 relative error 2.2542580294501356e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7509999999999173 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.750999999999905 Order of pole (three term test) 8.724440952196157e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.248000000000083 y[1] (closed_form) -0.0013448871729630895 y[1] (numeric) -0.0013448871729627855 absolute error 3.0401028916493544e-16 relative error 2.2604891717059974e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.751999999999917 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.751999999999891 Order of pole (three term test) 1.7711301432290653e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.247000000000083 y[1] (closed_form) -0.0013430963780468813 y[1] (numeric) -0.0013430963780465773 absolute error 3.0401028916493544e-16 relative error 2.2635031568399022e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.752999999999917 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7529999999998798 Order of pole (three term test) 2.696639408994918e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.246000000000083 y[1] (closed_form) -0.0013413084438249545 y[1] (numeric) -0.00134130844382465 absolute error 3.0444397003392965e-16 relative error 2.26975362330352e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.753999999999917 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7539999999999067 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.245000000000083 y[1] (closed_form) -0.001339523364967296 y[1] (numeric) -0.0013395233649669913 absolute error 3.0466081046842675e-16 relative error 2.274397135848877e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.754999999999917 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7549999999999244 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2440000000000833 y[1] (closed_form) -0.0013377411361552398 y[1] (numeric) -0.0013377411361549353 absolute error 3.0444397003392965e-16 relative error 2.2758062961936163e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7559999999999167 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7559999999998945 Order of pole (three term test) 1.8800296220843746e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2430000000000834 y[1] (closed_form) -0.0013359617520814402 y[1] (numeric) -0.0013359617520811355 absolute error 3.0466081046842675e-16 relative error 2.2804605745169164e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7569999999999166 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.756999999999881 Order of pole (three term test) 1.9082660965665295e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2420000000000835 y[1] (closed_form) -0.0013341852074498426 y[1] (numeric) -0.0013341852074495377 absolute error 3.0487765090292385e-16 relative error 2.28512240429997e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7579999999999165 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.757999999999864 Order of pole (three term test) 1.9369189747670563e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2410000000000836 y[1] (closed_form) -0.0013324114969756576 y[1] (numeric) -0.0013324114969753527 absolute error 3.0487765090292385e-16 relative error 2.288164366601032e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7589999999999164 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7589999999999155 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2400000000000837 y[1] (closed_form) -0.001330640615385335 y[1] (numeric) -0.0013306406153850297 absolute error 3.0531133177191805e-16 relative error 2.2944687561900712e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7599999999999163 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7599999999999074 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.239000000000084 y[1] (closed_form) -0.0013288725574165348 y[1] (numeric) -0.0013288725574162295 absolute error 3.0531133177191805e-16 relative error 2.297521534837582e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.760999999999916 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.760999999999902 Order of pole (three term test) 1.0127183677006791e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.238000000000084 y[1] (closed_form) -0.0013271073178181025 y[1] (numeric) -0.001327107317817797 absolute error 3.0552817220641515e-16 relative error 2.3022114949131176e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.761999999999916 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7619999999998655 Order of pole (three term test) 2.0558163650285836e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.237000000000084 y[1] (closed_form) -0.001325344891350041 y[1] (numeric) -0.0013253448913497351 absolute error 3.0596185307540935e-16 relative error 2.308545157357088e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.762999999999916 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.762999999999922 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.236000000000084 y[1] (closed_form) -0.001323585272783484 y[1] (numeric) -0.0013235852727831782 absolute error 3.0574501264091225e-16 relative error 2.309975933760083e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.763999999999916 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.763999999999881 Order of pole (three term test) 2.1179243190379635e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2350000000000843 y[1] (closed_form) -0.0013218284569006709 y[1] (numeric) -0.0013218284569003647 absolute error 3.0617869350990645e-16 relative error 2.316326993200104e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7649999999999157 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.76499999999989 Order of pole (three term test) 1.0748328351616417e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2340000000000844 y[1] (closed_form) -0.0013200744384949182 y[1] (numeric) -0.0013200744384946116 absolute error 3.0661237437890065e-16 relative error 2.3226900350292708e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7659999999999156 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.765999999999894 Order of pole (three term test) 1.0909370549513578e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2330000000000845 y[1] (closed_form) -0.0013183232123705937 y[1] (numeric) -0.001318323212370287 absolute error 3.0661237437890065e-16 relative error 2.3257754358095067e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7669999999999155 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.766999999999894 Order of pole (three term test) 1.1072781922085564e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2320000000000846 y[1] (closed_form) -0.0013165747733430914 y[1] (numeric) -0.0013165747733427848 absolute error 3.0661237437890065e-16 relative error 2.3288641145716326e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7679999999999154 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.767999999999903 Order of pole (three term test) 1.1238596680629604e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2310000000000847 y[1] (closed_form) -0.0013148291162388044 y[1] (numeric) -0.0013148291162384971 absolute error 3.0726289568239196e-16 relative error 2.3369036469267363e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7689999999999153 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7689999999998918 Order of pole (three term test) 1.140684952118198e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.230000000000085 y[1] (closed_form) -0.0013130862358950962 y[1] (numeric) -0.0013130862358947891 absolute error 3.0704605524789486e-16 relative error 2.3383540764829482e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.769999999999915 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7699999999998948 Order of pole (three term test) 1.157757563125522e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.229000000000085 y[1] (closed_form) -0.0013113461271602798 y[1] (numeric) -0.0013113461271599723 absolute error 3.0747973611688906e-16 relative error 2.344764130144163e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.770999999999915 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7709999999998933 Order of pole (three term test) 1.17508106966665e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.228000000000085 y[1] (closed_form) -0.0013096087848935866 y[1] (numeric) -0.001309608784893279 absolute error 3.0769657655138616e-16 relative error 2.3495304865138658e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.771999999999915 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.771999999999912 Order of pole (three term test) 1.1926590908459472e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.227000000000085 y[1] (closed_form) -0.0013078742039651426 y[1] (numeric) -0.001307874203964835 absolute error 3.0769657655138616e-16 relative error 2.35264657425407e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.772999999999915 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7729999999998767 Order of pole (three term test) 1.2104952969920011e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2260000000000852 y[1] (closed_form) -0.0013061423792559434 y[1] (numeric) -0.0013061423792556353 absolute error 3.0813025742038036e-16 relative error 2.359086285799177e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7739999999999148 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7739999999998926 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2250000000000854 y[1] (closed_form) -0.0013044133056578254 y[1] (numeric) -0.001304413305657517 absolute error 3.0834709785487746e-16 relative error 2.363875747950729e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7749999999999146 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.774999999999893 Order of pole (three term test) 1.2469572058966691e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2240000000000855 y[1] (closed_form) -0.001302686978073442 y[1] (numeric) -0.0013026869780731337 absolute error 3.0834709785487746e-16 relative error 2.3670083684331852e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7759999999999145 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.775999999999885 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2230000000000856 y[1] (closed_form) -0.001300963391416239 y[1] (numeric) -0.0013009633914159303 absolute error 3.0878077872387166e-16 relative error 2.373477845427537e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7769999999999144 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7769999999998864 Order of pole (three term test) 2.568994421522227e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2220000000000857 y[1] (closed_form) -0.0012992425406104255 y[1] (numeric) -0.0012992425406101167 absolute error 3.0878077872387166e-16 relative error 2.376621524252097e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7779999999999143 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7779999999998815 Order of pole (three term test) 1.303681239844901e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.221000000000086 y[1] (closed_form) -0.001297524420590951 y[1] (numeric) -0.0012975244205906422 absolute error 3.0878077872387166e-16 relative error 2.3797685332445535e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.778999999999914 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.778999999999908 Order of pole (three term test) 1.3231465920855558e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.220000000000086 y[1] (closed_form) -0.0012958090263034793 y[1] (numeric) -0.0012958090263031703 absolute error 3.0899761915836876e-16 relative error 2.3845922731364067e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.779999999999914 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7799999999999017 Order of pole (three term test) 6.714486584224121e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.219000000000086 y[1] (closed_form) -0.0012940963527043622 y[1] (numeric) -0.001294096352704053 absolute error 3.0921445959286586e-16 relative error 2.3894237778097364e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.780999999999914 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7809999999999198 Order of pole (three term test) 6.814687603381755e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.218000000000086 y[1] (closed_form) -0.001292386394760615 y[1] (numeric) -0.0012923863947603054 absolute error 3.0964814046186007e-16 relative error 2.3959408866975523e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.781999999999914 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.781999999999898 Order of pole (three term test) 2.0749070521768436e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2170000000000862 y[1] (closed_form) -0.0012906791474498898 y[1] (numeric) -0.0012906791474495802 absolute error 3.0964814046186007e-16 relative error 2.3991101202313493e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7829999999999138 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7829999999998933 Order of pole (three term test) 2.10585462374175e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2160000000000863 y[1] (closed_form) -0.0012889746057604527 y[1] (numeric) -0.0012889746057601428 absolute error 3.0986498089635717e-16 relative error 2.4039649773670056e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7839999999999137 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.783999999999909 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2150000000000865 y[1] (closed_form) -0.0012872727646911553 y[1] (numeric) -0.0012872727646908457 absolute error 3.0964814046186007e-16 relative error 2.4054586483553186e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7849999999999135 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7849999999998785 Order of pole (three term test) 1.4460773041839915e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2140000000000866 y[1] (closed_form) -0.0012855736192514135 y[1] (numeric) -0.0012855736192511034 absolute error 3.1008182133085427e-16 relative error 2.4120113907705586e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7859999999999134 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7859999999998872 Order of pole (three term test) 1.46762855946426e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2130000000000867 y[1] (closed_form) -0.001283877164461178 y[1] (numeric) -0.0012838771644608678 absolute error 3.1029866176535137e-16 relative error 2.4168874589772657e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7869999999999133 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.786999999999919 Order of pole (three term test) 7.44747589649065e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.212000000000087 y[1] (closed_form) -0.0012821833953509125 y[1] (numeric) -0.0012821833953506022 absolute error 3.1029866176535137e-16 relative error 2.420080176443306e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.787999999999913 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7879999999999066 Order of pole (three term test) 7.558408466898055e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.211000000000087 y[1] (closed_form) -0.0012804923069615678 y[1] (numeric) -0.0012804923069612572 absolute error 3.1051550219984847e-16 relative error 2.424969681673911e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.788999999999913 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.788999999999882 Order of pole (three term test) 7.670963476212834e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.210000000000087 y[1] (closed_form) -0.0012788038943445568 y[1] (numeric) -0.0012788038943442458 absolute error 3.1094918306884267e-16 relative error 2.431562684818205e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.789999999999913 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7899999999999125 Order of pole (three term test) 7.785164215716048e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.209000000000087 y[1] (closed_form) -0.001277118152561729 y[1] (numeric) -0.0012771181525614178 absolute error 3.1116602350333977e-16 relative error 2.436470133003608e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.790999999999913 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7909999999998942 Order of pole (three term test) 2.3703102914317804e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2080000000000872 y[1] (closed_form) -0.0012754350766853466 y[1] (numeric) -0.0012754350766850356 absolute error 3.1094918306884267e-16 relative error 2.4379851922917965e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7919999999999128 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7919999999999017 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2070000000000873 y[1] (closed_form) -0.0012737546617980614 y[1] (numeric) -0.00127375466179775 absolute error 3.1138286393783687e-16 relative error 2.4446062752640422e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7929999999999127 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7929999999998896 Order of pole (three term test) 2.441363603005939e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2060000000000874 y[1] (closed_form) -0.001272076902992886 y[1] (numeric) -0.0012720769029925744 absolute error 3.1159970437233397e-16 relative error 2.449535115677488e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7939999999999126 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7939999999999134 Order of pole (three term test) 8.258901879799743e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2050000000000876 y[1] (closed_form) -0.0012704017953731727 y[1] (numeric) -0.001270401795372861 absolute error 3.1159970437233397e-16 relative error 2.4527649874802284e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7949999999999124 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.79499999999991 Order of pole (three term test) 1.6763384564709285e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2040000000000877 y[1] (closed_form) -0.0012687293340525889 y[1] (numeric) -0.0012687293340522766 absolute error 3.122502256758253e-16 relative error 2.4611256104438936e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7959999999999123 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.795999999999912 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2030000000000878 y[1] (closed_form) -0.0012670595141550897 y[1] (numeric) -0.0012670595141547772 absolute error 3.124670661103224e-16 relative error 2.466080421792058e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.7969999999999122 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7969999999999016 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.202000000000088 y[1] (closed_form) -0.001265392330814897 y[1] (numeric) -0.0012653923308145842 absolute error 3.126839065448195e-16 relative error 2.4710431613210027e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.797999999999912 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7979999999998904 Order of pole (three term test) 8.760921762900516e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.201000000000088 y[1] (closed_form) -0.0012637277791764732 y[1] (numeric) -0.0012637277791761605 absolute error 3.126839065448195e-16 relative error 2.47429795955411e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.798999999999912 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7989999999998854 Order of pole (three term test) 1.7782075680550737e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.200000000000088 y[1] (closed_form) -0.001262065854394498 y[1] (numeric) -0.001262065854394185 absolute error 3.129007469793166e-16 relative error 2.4792743254228768e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.799999999999912 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7999999999999012 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.199000000000088 y[1] (closed_form) -0.0012604065516338434 y[1] (numeric) -0.0012604065516335302 absolute error 3.131175874138137e-16 relative error 2.4842586466083086e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.800999999999912 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.800999999999888 Order of pole (three term test) 1.8313979047247002e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1980000000000883 y[1] (closed_form) -0.0012587498660695498 y[1] (numeric) -0.0012587498660692365 absolute error 3.133344278483108e-16 relative error 2.4892509329649302e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8019999999999117 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.80199999999991 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1970000000000884 y[1] (closed_form) -0.0012570957928868022 y[1] (numeric) -0.0012570957928864886 absolute error 3.135512682828079e-16 relative error 2.4942511943562145e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8029999999999116 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.802999999999901 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1960000000000885 y[1] (closed_form) -0.001255444327280906 y[1] (numeric) -0.0012554443272805923 absolute error 3.13768108717305e-16 relative error 2.499259440654586e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8039999999999115 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8039999999999026 Order of pole (three term test) 9.57062902264442e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1950000000000887 y[1] (closed_form) -0.0012537954644572633 y[1] (numeric) -0.0012537954644569493 absolute error 3.139849491518021e-16 relative error 2.504275681741426e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8049999999999113 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8049999999999025 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1940000000000888 y[1] (closed_form) -0.0012521491996313485 y[1] (numeric) -0.0012521491996310345 absolute error 3.139849491518021e-16 relative error 2.507568181525364e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8059999999999112 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8059999999998766 Order of pole (three term test) 1.9713054221873508e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.193000000000089 y[1] (closed_form) -0.0012505055280286855 y[1] (numeric) -0.0012505055280283713 absolute error 3.142017895862992e-16 relative error 2.5125981656523447e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.806999999999911 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.806999999999865 Order of pole (three term test) 2.0005210099888253e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.192000000000089 y[1] (closed_form) -0.001248864444884823 y[1] (numeric) -0.0012488644448845085 absolute error 3.144186300207963e-16 relative error 2.5176361718728704e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.807999999999911 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.807999999999926 Order of pole (three term test) 1.0150808704899283e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.191000000000089 y[1] (closed_form) -0.0012472259454453113 y[1] (numeric) -0.0012472259454449964 absolute error 3.148523108897905e-16 relative error 2.5244207919149342e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.808999999999911 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8089999999998994 Order of pole (three term test) 1.0301168438625155e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.190000000000089 y[1] (closed_form) -0.001245590024965678 y[1] (numeric) -0.0012455900249653629 absolute error 3.150691513242876e-16 relative error 2.5294771554787402e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.809999999999911 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8099999999998926 Order of pole (three term test) 1.0453715039491269e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1890000000000893 y[1] (closed_form) -0.0012439566787114053 y[1] (numeric) -0.0012439566787110902 absolute error 3.150691513242876e-16 relative error 2.5327984222944372e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8109999999999107 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8109999999999054 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1880000000000894 y[1] (closed_form) -0.0012423259019579069 y[1] (numeric) -0.0012423259019575918 absolute error 3.150691513242876e-16 relative error 2.5361231769195048e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8119999999999106 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8119999999999 Order of pole (three term test) 1.0765494159030655e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1870000000000895 y[1] (closed_form) -0.0012406976899905033 y[1] (numeric) -0.0012406976899901878 absolute error 3.155028321932818e-16 relative error 2.542946881731494e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8129999999999105 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8129999999999105 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1860000000000896 y[1] (closed_form) -0.001239072038104399 y[1] (numeric) -0.0012390720381040832 absolute error 3.157196726277789e-16 relative error 2.5480332290508658e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8139999999999104 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8139999999998757 Order of pole (three term test) 2.217280221134869e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1850000000000898 y[1] (closed_form) -0.0012374489416046588 y[1] (numeric) -0.001237448941604343 absolute error 3.157196726277789e-16 relative error 2.5513753498255062e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8149999999999102 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8149999999998987 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.18400000000009 y[1] (closed_form) -0.0012358283958061862 y[1] (numeric) -0.00123582839580587 absolute error 3.161533534967731e-16 relative error 2.5582302087381e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.81599999999991 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.81599999999988 Order of pole (three term test) 1.1416698113014783e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.18300000000009 y[1] (closed_form) -0.0012342103960336977 y[1] (numeric) -0.0012342103960333816 absolute error 3.161533534967731e-16 relative error 2.5615839447858706e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.81699999999991 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8169999999999003 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.18200000000009 y[1] (closed_form) -0.001232594937621702 y[1] (numeric) -0.0012325949376213855 absolute error 3.163701939312702e-16 relative error 2.566700416129471e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.81799999999991 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.817999999999887 Order of pole (three term test) 1.1756654804925086e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.18100000000009 y[1] (closed_form) -0.0012309820159144749 y[1] (numeric) -0.0012309820159141583 absolute error 3.165870343657673e-16 relative error 2.5718250167170827e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.81899999999991 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.818999999999888 Order of pole (three term test) 1.1930341860982433e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1800000000000903 y[1] (closed_form) -0.0012293716262660379 y[1] (numeric) -0.0012293716262657213 absolute error 3.165870343657673e-16 relative error 2.5751939251057468e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8199999999999097 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.819999999999893 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1790000000000904 y[1] (closed_form) -0.001227763764040135 y[1] (numeric) -0.0012277637640398182 absolute error 3.168038748002644e-16 relative error 2.5803325043392325e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8209999999999096 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.820999999999896 Order of pole (three term test) 1.22853102947179e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1780000000000905 y[1] (closed_form) -0.0012261584246102083 y[1] (numeric) -0.0012261584246098917 absolute error 3.165870343657673e-16 relative error 2.581942333156576e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8219999999999095 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.821999999999894 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1770000000000906 y[1] (closed_form) -0.0012245556033593783 y[1] (numeric) -0.0012245556033590613 absolute error 3.170207152347615e-16 relative error 2.588863375130246e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8229999999999094 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.822999999999902 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1760000000000908 y[1] (closed_form) -0.001222955295680417 y[1] (numeric) -0.0012229552956800997 absolute error 3.172375556692586e-16 relative error 2.5940241380021727e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8239999999999092 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8239999999998955 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.175000000000091 y[1] (closed_form) -0.0012213574969757285 y[1] (numeric) -0.0012213574969754113 absolute error 3.172375556692586e-16 relative error 2.5974176803662173e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.824999999999909 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8249999999998985 Order of pole (three term test) 2.6053293178200873e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.174000000000091 y[1] (closed_form) -0.0012197622026573261 y[1] (numeric) -0.0012197622026570082 absolute error 3.178880769727499e-16 relative error 2.6061479547424196e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.825999999999909 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8259999999998917 Order of pole (three term test) 1.3218741148828464e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.173000000000091 y[1] (closed_form) -0.0012181694081468066 y[1] (numeric) -0.0012181694081464887 absolute error 3.178880769727499e-16 relative error 2.6095555745103715e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.826999999999909 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8269999999998894 Order of pole (three term test) 6.706808536694903e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.172000000000091 y[1] (closed_form) -0.0012165791088753317 y[1] (numeric) -0.001216579108875014 absolute error 3.176712365382528e-16 relative error 2.611184379385936e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.827999999999909 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8279999999998977 Order of pole (three term test) 6.805656945979763e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1710000000000913 y[1] (closed_form) -0.001214991300283604 y[1] (numeric) -0.0012149913002832862 absolute error 3.178880769727499e-16 relative error 2.6163815074111908e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8289999999999087 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.828999999999877 Order of pole (three term test) 1.381187168495852e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1700000000000914 y[1] (closed_form) -0.0012134059778218442 y[1] (numeric) -0.0012134059778215259 absolute error 3.183217578417441e-16 relative error 2.6233739050235754e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8299999999999086 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8299999999998557 Order of pole (three term test) 2.102299663739138e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1690000000000915 y[1] (closed_form) -0.0012118231369497678 y[1] (numeric) -0.0012118231369494495 absolute error 3.183217578417441e-16 relative error 2.6268004639932792e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8309999999999085 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8309999999999182 Order of pole (three term test) 7.110866658751099e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1680000000000916 y[1] (closed_form) -0.001210242773136566 y[1] (numeric) -0.0012102427731362473 absolute error 3.187554387107383e-16 relative error 2.633814022988339e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8319999999999084 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.831999999999883 Order of pole (three term test) 2.1646680213732578e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1670000000000917 y[1] (closed_form) -0.0012086648818608802 y[1] (numeric) -0.0012086648818605613 absolute error 3.189722791452354e-16 relative error 2.6390464712943466e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8329999999999083 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.832999999999878 Order of pole (three term test) 1.4643533928379178e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.166000000000092 y[1] (closed_form) -0.001207089458610781 y[1] (numeric) -0.001207089458610462 absolute error 3.189722791452354e-16 relative error 2.6424908019024146e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.833999999999908 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8339999999998513 Order of pole (three term test) 2.9718035253945044e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.165000000000092 y[1] (closed_form) -0.001205516498883747 y[1] (numeric) -0.001205516498883428 absolute error 3.189722791452354e-16 relative error 2.6459387278447793e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.834999999999908 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.834999999999865 Order of pole (three term test) 2.2616422182147124e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.164000000000092 y[1] (closed_form) -0.0012039459981866422 y[1] (numeric) -0.0012039459981863228 absolute error 3.194059600142296e-16 relative error 2.6529924140726582e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.835999999999908 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8359999999999093 Order of pole (three term test) 7.649684783892074e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.163000000000092 y[1] (closed_form) -0.0012023779520356922 y[1] (numeric) -0.0012023779520353725 absolute error 3.196228004487267e-16 relative error 2.6582556666777502e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.836999999999908 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8369999999998945 Order of pole (three term test) 1.5524326736534166e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1620000000000923 y[1] (closed_form) -0.0012008123559564654 y[1] (numeric) -0.0012008123559561453 absolute error 3.200564813177209e-16 relative error 2.6653330116909985e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8379999999999077 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8379999999999113 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1610000000000924 y[1] (closed_form) -0.001199249205483848 y[1] (numeric) -0.0011992492054835279 absolute error 3.200564813177209e-16 relative error 2.6688071157703307e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8389999999999076 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.838999999999896 Order of pole (three term test) 7.992015223028356e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1600000000000925 y[1] (closed_form) -0.001197688496162025 y[1] (numeric) -0.0011976884961617047 absolute error 3.20273321752218e-16 relative error 2.674095332622206e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8399999999999075 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8399999999998906 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1590000000000926 y[1] (closed_form) -0.001196130223544457 y[1] (numeric) -0.0011961302235441362 absolute error 3.207070026212122e-16 relative error 2.6812047409927552e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8409999999999074 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8409999999998945 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1580000000000927 y[1] (closed_form) -0.0011945743831938574 y[1] (numeric) -0.0011945743831935365 absolute error 3.209238430557093e-16 relative error 2.686512012736082e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8419999999999073 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8419999999999033 Order of pole (three term test) 8.349379731736285e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.157000000000093 y[1] (closed_form) -0.0011930209706821728 y[1] (numeric) -0.001193020970681852 absolute error 3.207070026212122e-16 relative error 2.6881925004036688e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.842999999999907 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8429999999998565 Order of pole (three term test) 3.388781325781803e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.156000000000093 y[1] (closed_form) -0.0011914699815905611 y[1] (numeric) -0.00119146998159024 absolute error 3.211406834902064e-16 relative error 2.69533172007823e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.843999999999907 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.843999999999911 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.155000000000093 y[1] (closed_form) -0.0011899214115093683 y[1] (numeric) -0.001189921411509047 absolute error 3.213575239247035e-16 relative error 2.700661748048337e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.844999999999907 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8449999999998994 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.154000000000093 y[1] (closed_form) -0.0011883752560381078 y[1] (numeric) -0.0011883752560377867 absolute error 3.211406834902064e-16 relative error 2.7023508092961197e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.845999999999907 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8459999999998935 Order of pole (three term test) 8.850375525784852e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1530000000000933 y[1] (closed_form) -0.0011868315107854412 y[1] (numeric) -0.0011868315107851197 absolute error 3.215743643592006e-16 relative error 2.7095199397459858e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8469999999999067 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8469999999998854 Order of pole (three term test) 8.980167908689319e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1520000000000934 y[1] (closed_form) -0.001185290171369153 y[1] (numeric) -0.001185290171368831 absolute error 3.217912047936977e-16 relative error 2.714872801332606e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8479999999999066 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8479999999999004 Order of pole (three term test) 9.111829242097132e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1510000000000935 y[1] (closed_form) -0.0011837512334161317 y[1] (numeric) -0.0011837512334158095 absolute error 3.222248856626919e-16 relative error 2.7220658916045927e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8489999999999065 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8489999999998887 Order of pole (three term test) 9.245385941817306e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1500000000000936 y[1] (closed_form) -0.001182214692562348 y[1] (numeric) -0.001182214692562026 absolute error 3.220080452281948e-16 relative error 2.7237696101565975e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8499999999999064 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.849999999999874 Order of pole (three term test) 1.8761729580022043e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1490000000000937 y[1] (closed_form) -0.0011806805444528345 y[1] (numeric) -0.0011806805444525125 absolute error 3.220080452281948e-16 relative error 2.7273088113552655e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8509999999999063 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8509999999999067 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.148000000000094 y[1] (closed_form) -0.0011791487847416632 y[1] (numeric) -0.001179148784741341 absolute error 3.222248856626919e-16 relative error 2.732690647968461e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.851999999999906 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.851999999999883 Order of pole (three term test) 9.657697922192629e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.147000000000094 y[1] (closed_form) -0.0011776194090919244 y[1] (numeric) -0.0011776194090916021 absolute error 3.222248856626919e-16 relative error 2.736239596383378e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.852999999999906 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.852999999999885 Order of pole (three term test) 9.799107647449137e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.146000000000094 y[1] (closed_form) -0.0011760924131757073 y[1] (numeric) -0.0011760924131753844 absolute error 3.228754069661832e-16 relative error 2.7453234401397834e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.853999999999906 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.853999999999888 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.145000000000094 y[1] (closed_form) -0.001174567792674076 y[1] (numeric) -0.0011745677926737529 absolute error 3.230922474006803e-16 relative error 2.7507330731852726e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.854999999999906 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8549999999999107 Order of pole (three term test) 1.0088054911923126e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1440000000000943 y[1] (closed_form) -0.0011730455432770518 y[1] (numeric) -0.0011730455432767287 absolute error 3.230922474006803e-16 relative error 2.7543026718134156e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8559999999999057 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8559999999999044 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1430000000000944 y[1] (closed_form) -0.0011715256606835906 y[1] (numeric) -0.0011715256606832675 absolute error 3.230922474006803e-16 relative error 2.7578759752659153e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8569999999999056 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.85699999999989 Order of pole (three term test) 1.038536585354177e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1420000000000945 y[1] (closed_form) -0.0011700081406015625 y[1] (numeric) -0.0011700081406012394 absolute error 3.230922474006803e-16 relative error 2.7614529864259035e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8579999999999055 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8579999999998793 Order of pole (three term test) 1.053723168529234e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1410000000000946 y[1] (closed_form) -0.001168492978747731 y[1] (numeric) -0.0011684929787474075 absolute error 3.235259282696745e-16 relative error 2.768745162819856e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8589999999999054 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8589999999998956 Order of pole (three term test) 1.0691278035454308e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1400000000000947 y[1] (closed_form) -0.0011669801708477313 y[1] (numeric) -0.0011669801708474078 absolute error 3.235259282696745e-16 relative error 2.7723344093726553e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8599999999999053 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8599999999999173 Order of pole (three term test) 1.0847535635070056e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.139000000000095 y[1] (closed_form) -0.0011654697126360517 y[1] (numeric) -0.001165469712635728 absolute error 3.237427687041716e-16 relative error 2.777787918417308e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.860999999999905 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8609999999998923 Order of pole (three term test) 1.1006035640157267e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.138000000000095 y[1] (closed_form) -0.0011639615998560108 y[1] (numeric) -0.0011639615998556869 absolute error 3.2395960913866872e-16 relative error 2.7832499730123786e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.861999999999905 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8619999999998735 Order of pole (three term test) 1.1166809637473741e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.137000000000095 y[1] (closed_form) -0.0011624558282597387 y[1] (numeric) -0.0011624558282594146 absolute error 3.2417644957316583e-16 relative error 2.7887205835466115e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.862999999999905 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8629999999998827 Order of pole (three term test) 1.132988965035839e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.136000000000095 y[1] (closed_form) -0.0011609523936081552 y[1] (numeric) -0.0011609523936078308 absolute error 3.2439329000766293e-16 relative error 2.794199760418016e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.863999999999905 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8639999999998675 Order of pole (three term test) 1.1495308144649843e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1350000000000953 y[1] (closed_form) -0.00115945129167095 y[1] (numeric) -0.0011594512916706253 absolute error 3.2461013044216003e-16 relative error 2.7996875140338693e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8649999999999047 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8649999999999056 Order of pole (three term test) 1.166309803468461e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1340000000000954 y[1] (closed_form) -0.0011579525182265618 y[1] (numeric) -0.0011579525182262372 absolute error 3.2461013044216003e-16 relative error 2.803311235414989e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8659999999999046 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.865999999999887 Order of pole (three term test) 2.3666585378746915e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1330000000000955 y[1] (closed_form) -0.001156456069062159 y[1] (numeric) -0.0011564560690618345 absolute error 3.2439329000766293e-16 relative error 2.8050636655029478e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8669999999999045 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8669999999998654 Order of pole (three term test) 1.2005925938360461e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1320000000000956 y[1] (closed_form) -0.0011549619399736186 y[1] (numeric) -0.001154961939973294 absolute error 3.2461013044216003e-16 relative error 2.8105699348809252e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8679999999999044 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8679999999998547 Order of pole (three term test) 1.218103207826216e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1310000000000957 y[1] (closed_form) -0.0011534701267655054 y[1] (numeric) -0.0011534701267651808 absolute error 3.2461013044216003e-16 relative error 2.8142049187906852e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8689999999999043 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.868999999999888 Order of pole (three term test) 1.2358645878990407e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.130000000000096 y[1] (closed_form) -0.0011519806252510533 y[1] (numeric) -0.0011519806252507283 absolute error 3.2504381131115423e-16 relative error 2.8216083168961005e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.869999999999904 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.869999999999887 Order of pole (three term test) 1.2538802590158565e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.129000000000096 y[1] (closed_form) -0.0011504934312521434 y[1] (numeric) -0.0011504934312518182 absolute error 3.2526065174565133e-16 relative error 2.8271404504383204e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.870999999999904 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8709999999998965 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.128000000000096 y[1] (closed_form) -0.001149008540599285 y[1] (numeric) -0.0011490085405989599 absolute error 3.2504381131115423e-16 relative error 2.8289068342487872e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.871999999999904 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8719999999998858 Order of pole (three term test) 1.2906888179814659e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.127000000000096 y[1] (closed_form) -0.0011475259491315968 y[1] (numeric) -0.0011475259491312711 absolute error 3.2569433261464553e-16 relative error 2.838230654924347e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.872999999999904 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8729999999999087 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1260000000000963 y[1] (closed_form) -0.001146045652696783 y[1] (numeric) -0.0011460456526964573 absolute error 3.2569433261464553e-16 relative error 2.8418966718144926e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8739999999999037 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.873999999999873 Order of pole (three term test) 2.657116137404188e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1250000000000964 y[1] (closed_form) -0.0011445676471511178 y[1] (numeric) -0.0011445676471507921 absolute error 3.2569433261464553e-16 relative error 2.84556647591179e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8749999999999036 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.874999999999857 Order of pole (three term test) 1.3478997943427728e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1240000000000965 y[1] (closed_form) -0.0011430919283594231 y[1] (numeric) -0.0011430919283590972 absolute error 3.2591117304914263e-16 relative error 2.8511370342444252e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8759999999999035 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.875999999999887 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1230000000000966 y[1] (closed_form) -0.001141618492195049 y[1] (numeric) -0.0011416184921947228 absolute error 3.2634485391813683e-16 relative error 2.858615694728776e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8769999999999034 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8769999999998737 Order of pole (three term test) 1.3874165804891055e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1220000000000967 y[1] (closed_form) -0.0011401473345398537 y[1] (numeric) -0.0011401473345395274 absolute error 3.2634485391813683e-16 relative error 2.8623042306180957e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8779999999999033 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.877999999999892 Order of pole (three term test) 1.4075994532448358e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.121000000000097 y[1] (closed_form) -0.001138678451284185 y[1] (numeric) -0.0011386784512838585 absolute error 3.2656169435263394e-16 relative error 2.867900889705451e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.878999999999903 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8789999999999027 Order of pole (three term test) 7.140353051810159e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.120000000000097 y[1] (closed_form) -0.00113721183832686 y[1] (numeric) -0.0011372118383265331 absolute error 3.2677853478713104e-16 relative error 2.8735062701062706e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.879999999999903 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.879999999999886 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.119000000000097 y[1] (closed_form) -0.001135747491575144 y[1] (numeric) -0.001135747491574817 absolute error 3.2699537522162814e-16 relative error 2.879120382367081e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.880999999999903 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.880999999999863 Order of pole (three term test) 1.469894000588843e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.118000000000097 y[1] (closed_form) -0.0011342854069447336 y[1] (numeric) -0.0011342854069444062 absolute error 3.2742905609062234e-16 relative error 2.8866549290497557e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.881999999999903 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8819999999998966 Order of pole (three term test) 1.4912544849120705e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1170000000000972 y[1] (closed_form) -0.0011328255803597347 y[1] (numeric) -0.0011328255803594073 absolute error 3.2742905609062234e-16 relative error 2.8903748447015606e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8829999999999028 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8829999999998703 Order of pole (three term test) 2.269379636301687e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1160000000000974 y[1] (closed_form) -0.0011313680077526453 y[1] (numeric) -0.0011313680077523177 absolute error 3.2764589652511944e-16 relative error 2.896015215915083e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8839999999999026 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8839999999998827 Order of pole (three term test) 7.674470436193293e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1150000000000975 y[1] (closed_form) -0.0011299126850643339 y[1] (numeric) -0.0011299126850640065 absolute error 3.2742905609062234e-16 relative error 2.8978261808962655e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8849999999999025 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8849999999998834 Order of pole (three term test) 1.5571818014723072e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1140000000000976 y[1] (closed_form) -0.001128459608244022 y[1] (numeric) -0.0011284596082436944 absolute error 3.2764589652511944e-16 relative error 2.903479168695847e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8859999999999024 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8859999999998798 Order of pole (three term test) 1.5797872871389186e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1130000000000977 y[1] (closed_form) -0.0011270087732492633 y[1] (numeric) -0.0011270087732489355 absolute error 3.2786273695961654e-16 relative error 2.9091409467413465e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8869999999999023 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8869999999999005 Order of pole (three term test) 8.01357495699558e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.112000000000098 y[1] (closed_form) -0.0011255601760459249 y[1] (numeric) -0.0011255601760455968 absolute error 3.2807957739411364e-16 relative error 2.9148115256409655e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.887999999999902 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8879999999998716 Order of pole (three term test) 1.6259694224824457e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.111000000000098 y[1] (closed_form) -0.001124113812608168 y[1] (numeric) -0.0011241138126078401 absolute error 3.2786273695961654e-16 relative error 2.9166329359383075e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.888999999999902 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.888999999999895 Order of pole (three term test) 8.247775752550222e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.110000000000098 y[1] (closed_form) -0.0011226696789184303 y[1] (numeric) -0.001122669678918102 absolute error 3.2829641782861074e-16 relative error 2.9242476571104024e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.889999999999902 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8899999999999055 Order of pole (three term test) 8.367384041639716e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.109000000000098 y[1] (closed_form) -0.0011212277709674037 y[1] (numeric) -0.0011212277709670754 absolute error 3.2829641782861074e-16 relative error 2.9280082631681e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.890999999999902 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8909999999999023 Order of pole (three term test) 8.488695461757962e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1080000000000982 y[1] (closed_form) -0.0011197880847540183 y[1] (numeric) -0.0011197880847536896 absolute error 3.2873009869760494e-16 relative error 2.935645620571293e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8919999999999018 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.891999999999871 Order of pole (three term test) 1.7223467634214357e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1070000000000983 y[1] (closed_form) -0.0011183506162854215 y[1] (numeric) -0.0011183506162850921 absolute error 3.2938062000109625e-16 relative error 2.9452357355971887e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8929999999999017 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8929999999998897 Order of pole (three term test) 8.736523238349014e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1060000000000985 y[1] (closed_form) -0.0011169153615769587 y[1] (numeric) -0.0011169153615766295 absolute error 3.2916377956659915e-16 relative error 2.9470789899590684e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8939999999999015 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.893999999999895 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1050000000000986 y[1] (closed_form) -0.001115482316652157 y[1] (numeric) -0.001115482316651828 absolute error 3.2916377956659915e-16 relative error 2.95086506215986e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8949999999999014 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8949999999999094 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1040000000000987 y[1] (closed_form) -0.001114051477542704 y[1] (numeric) -0.0011140514775423744 absolute error 3.2959746043559335e-16 relative error 2.9585478506127575e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.8959999999999013 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8959999999998973 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.103000000000099 y[1] (closed_form) -0.0011126228402884282 y[1] (numeric) -0.0011126228402880986 absolute error 3.2959746043559335e-16 relative error 2.962346704568377e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.896999999999901 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8969999999998692 Order of pole (three term test) 1.8507371738206257e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.102000000000099 y[1] (closed_form) -0.0011111964009372834 y[1] (numeric) -0.0011111964009369536 absolute error 3.2981430087009045e-16 relative error 2.9681008739039763e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.897999999999901 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.897999999999858 Order of pole (three term test) 2.816281294944188e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.101000000000099 y[1] (closed_form) -0.0011097721555453268 y[1] (numeric) -0.0011097721555449968 absolute error 3.3003114130458755e-16 relative error 2.973863956267805e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.898999999999901 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8989999999998846 Order of pole (three term test) 9.52342571939005e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.100000000000099 y[1] (closed_form) -0.0011083501001767021 y[1] (numeric) -0.0011083501001763719 absolute error 3.3024798173908465e-16 relative error 2.979635962377176e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.899999999999901 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8999999999998622 Order of pole (three term test) 1.9322353239937198e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0990000000000992 y[1] (closed_form) -0.0011069302309036201 y[1] (numeric) -0.0011069302309032899 absolute error 3.3024798173908465e-16 relative error 2.983457967983162e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9009999999999008 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9009999999998968 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0980000000000993 y[1] (closed_form) -0.001105512543806341 y[1] (numeric) -0.0011055125438060105 absolute error 3.3046482217358175e-16 relative error 2.9892453416744876e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9019999999999007 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9019999999998913 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0970000000000995 y[1] (closed_form) -0.0011040970349731542 y[1] (numeric) -0.0011040970349728235 absolute error 3.3068166260807885e-16 relative error 2.995041668743539e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9029999999999005 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9029999999998717 Order of pole (three term test) 1.0086277207261603e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0960000000000996 y[1] (closed_form) -0.0011026837005003618 y[1] (numeric) -0.0011026837005000307 absolute error 3.3111534347707305e-16 relative error 3.0028134389473947e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9039999999999004 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9039999999999044 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0950000000000997 y[1] (closed_form) -0.0011012725364922579 y[1] (numeric) -0.0011012725364919268 absolute error 3.3111534347707305e-16 relative error 3.0066612260370376e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9049999999999003 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9049999999999 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0940000000001 y[1] (closed_form) -0.0010998635390611126 y[1] (numeric) -0.0010998635390607814 absolute error 3.3111534347707305e-16 relative error 3.0105129565411933e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9059999999999 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9059999999998603 Order of pole (three term test) 2.105946844868876e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0930000000001 y[1] (closed_form) -0.001098456704327152 y[1] (numeric) -0.0010984567043268206 absolute error 3.3133218391157016e-16 relative error 3.016342679746528e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9069999999999 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9069999999999 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0920000000001 y[1] (closed_form) -0.0010970520284185404 y[1] (numeric) -0.0010970520284182088 absolute error 3.3154902434606726e-16 relative error 3.0221814076039134e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9079999999999 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9079999999999115 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0910000000001 y[1] (closed_form) -0.0010956495074713618 y[1] (numeric) -0.0010956495074710302 absolute error 3.3154902434606726e-16 relative error 3.0260500468917825e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9089999999999 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.908999999999883 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0900000000001002 y[1] (closed_form) -0.0010942491376296024 y[1] (numeric) -0.0010942491376292707 absolute error 3.3176586478056436e-16 relative error 3.03190428369216e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9099999999998998 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.909999999999903 Order of pole (three term test) 1.1150913383682522e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0890000000001003 y[1] (closed_form) -0.0010928509150451313 y[1] (numeric) -0.0010928509150447993 absolute error 3.3198270521506146e-16 relative error 3.0377675549766244e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9109999999998997 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9109999999998935 Order of pole (three term test) 1.1311748001736356e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0880000000001004 y[1] (closed_form) -0.001091454835877683 y[1] (numeric) -0.001091454835877351 absolute error 3.3198270521506146e-16 relative error 3.041653161471411e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9119999999998996 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9119999999998827 Order of pole (three term test) 1.1474860398754265e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0870000000001006 y[1] (closed_form) -0.00109006089629484 y[1] (numeric) -0.0010900608962945077 absolute error 3.3219954564955856e-16 relative error 3.047531993659418e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9129999999998994 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.912999999999898 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0860000000001007 y[1] (closed_form) -0.001088669092472013 y[1] (numeric) -0.0010886690924716805 absolute error 3.3241638608405566e-16 relative error 3.0534198902372284e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9139999999998993 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9139999999998927 Order of pole (three term test) 1.1808045616779077e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0850000000001008 y[1] (closed_form) -0.0010872794205924248 y[1] (numeric) -0.001087279420592092 absolute error 3.3285006695304986e-16 relative error 3.06131120160161e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9149999999998992 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9149999999998792 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.084000000000101 y[1] (closed_form) -0.001085891876847091 y[1] (numeric) -0.001085891876846758 absolute error 3.3306690738754696e-16 relative error 3.0672198078745505e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.915999999999899 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9159999999998814 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.083000000000101 y[1] (closed_form) -0.0010845064574348028 y[1] (numeric) -0.00108450645743447 absolute error 3.3285006695304986e-16 relative error 3.0691386360238415e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.916999999999899 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.916999999999903 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.082000000000101 y[1] (closed_form) -0.0010831231585621095 y[1] (numeric) -0.0010831231585617762 absolute error 3.3328374782204406e-16 relative error 3.0770623376245776e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.917999999999899 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.917999999999874 Order of pole (three term test) 1.250317187068765e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.081000000000101 y[1] (closed_form) -0.0010817419764432993 y[1] (numeric) -0.0010817419764429655 absolute error 3.3371742869103826e-16 relative error 3.085000267700441e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.918999999999899 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9189999999998775 Order of pole (three term test) 1.2683139902088508e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0800000000001013 y[1] (closed_form) -0.0010803629073003825 y[1] (numeric) -0.0010803629073000485 absolute error 3.3393426912553537e-16 relative error 3.090945337617823e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9199999999998987 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9199999999998885 Order of pole (three term test) 1.286565144505406e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0790000000001014 y[1] (closed_form) -0.001078985947363074 y[1] (numeric) -0.00107898594736274 absolute error 3.3393426912553537e-16 relative error 3.094889881945496e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9209999999998986 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.920999999999871 Order of pole (three term test) 2.6101483569423017e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0780000000001015 y[1] (closed_form) -0.0010776110928687758 y[1] (numeric) -0.0010776110928684415 absolute error 3.3436794999452957e-16 relative error 3.1028629178675935e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9219999999998985 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.921999999999863 Order of pole (three term test) 2.647689337299376e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0770000000001017 y[1] (closed_form) -0.001076238340062558 y[1] (numeric) -0.0010762383400622234 absolute error 3.3458479042902667e-16 relative error 3.1088354500507614e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9229999999998983 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.922999999999869 Order of pole (three term test) 2.0143203603851663e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0760000000001018 y[1] (closed_form) -0.0010748676851971416 y[1] (numeric) -0.0010748676851968075 absolute error 3.3415110956003247e-16 relative error 3.108765052311957e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9239999999998982 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9239999999998982 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.075000000000102 y[1] (closed_form) -0.001073499124532884 y[1] (numeric) -0.0010734991245325495 absolute error 3.3436794999452957e-16 relative error 3.114748231769863e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.924999999999898 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.924999999999886 Order of pole (three term test) 6.908806879435787e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.074000000000102 y[1] (closed_form) -0.0010721326543377562 y[1] (numeric) -0.0010721326543374216 absolute error 3.3458479042902667e-16 relative error 3.120740601224349e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.925999999999898 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9259999999998736 Order of pole (three term test) 2.1024216593890692e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.073000000000102 y[1] (closed_form) -0.0010707682708873294 y[1] (numeric) -0.0010707682708869948 absolute error 3.3458479042902667e-16 relative error 3.1247170795578517e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.926999999999898 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9269999999998864 Order of pole (three term test) 7.108737927168685e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.072000000000102 y[1] (closed_form) -0.0010694059704647566 y[1] (numeric) -0.0010694059704644215 absolute error 3.3501847129802087e-16 relative error 3.132752953982706e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.927999999999898 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.927999999999889 Order of pole (three term test) 1.4421646919040271e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0710000000001023 y[1] (closed_form) -0.0010680457493607535 y[1] (numeric) -0.0010680457493604187 absolute error 3.3480163086352377e-16 relative error 3.1347124508843295e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9289999999998977 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9289999999998946 Order of pole (three term test) 7.31434845098774e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0700000000001024 y[1] (closed_form) -0.0010666876038735848 y[1] (numeric) -0.0010666876038732498 absolute error 3.3501847129802087e-16 relative error 3.1407365200592e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9299999999998976 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9299999999998874 Order of pole (three term test) 7.419332824553737e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0690000000001025 y[1] (closed_form) -0.0010653315303090435 y[1] (numeric) -0.0010653315303087083 absolute error 3.3523531173251797e-16 relative error 3.146769828874483e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9309999999998975 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9309999999999077 Order of pole (three term test) 7.525796773770969e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0680000000001026 y[1] (closed_form) -0.0010639775249804346 y[1] (numeric) -0.0010639775249800996 absolute error 3.3501847129802087e-16 relative error 3.148736354221218e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9319999999998974 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.931999999999857 Order of pole (three term test) 2.29012822991002e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0670000000001028 y[1] (closed_form) -0.0010626255842085598 y[1] (numeric) -0.0010626255842082243 absolute error 3.3545215216701507e-16 relative error 3.156823599507618e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 3.9329999999998972 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.932999999999871 Order of pole (three term test) 7.743245547894882e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.066000000000103 y[1] (closed_form) -0.001061275704321697 y[1] (numeric) -0.0010612757043213614 absolute error 3.3566899260151217e-16 relative error 3.162882097786752e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.933999999999897 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9339999999998905 Order of pole (three term test) 7.854272145434101e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.065000000000103 y[1] (closed_form) -0.0010599278816555864 y[1] (numeric) -0.0010599278816552505 absolute error 3.3588583303600927e-16 relative error 3.168949877149776e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.934999999999897 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.934999999999838 Order of pole (three term test) 2.3900585614006746e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.064000000000103 y[1] (closed_form) -0.0010585821125534112 y[1] (numeric) -0.0010585821125530756 absolute error 3.3566899260151217e-16 relative error 3.17093013967375e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.935999999999897 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.935999999999861 Order of pole (three term test) 1.6162072654039663e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.063000000000103 y[1] (closed_form) -0.0010572383933657825 y[1] (numeric) -0.0010572383933654468 absolute error 3.3566899260151217e-16 relative error 3.1749602994731354e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.936999999999897 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.936999999999875 Order of pole (three term test) 8.1968174068215e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0620000000001033 y[1] (closed_form) -0.001055896720450721 y[1] (numeric) -0.0010558967204503849 absolute error 3.3610267347050637e-16 relative error 3.1831017841123447e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.9379999999998967 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9379999999998914 Order of pole (three term test) 8.314227301886091e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0610000000001034 y[1] (closed_form) -0.0010545570901736392 y[1] (numeric) -0.001054557090173303 absolute error 3.3610267347050637e-16 relative error 3.187145358011533e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.9389999999998966 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9389999999998593 Order of pole (three term test) 8.43328850411633e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0600000000001035 y[1] (closed_form) -0.0010532194989073273 y[1] (numeric) -0.001053219498906991 absolute error 3.363195139050035e-16 relative error 3.1932518744090985e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.9399999999998965 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.939999999999886 Order of pole (three term test) 8.55402381017097e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0590000000001036 y[1] (closed_form) -0.0010518839430319342 y[1] (numeric) -0.0010518839430315977 absolute error 3.365363543395006e-16 relative error 3.199367730336042e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.9409999999998964 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.940999999999857 Order of pole (three term test) 1.7352912651028646e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0580000000001037 y[1] (closed_form) -0.001050550418934951 y[1] (numeric) -0.0010505504189346146 absolute error 3.365363543395006e-16 relative error 3.203428871892521e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.9419999999998963 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9419999999998874 Order of pole (three term test) 8.800609468520291e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.057000000000104 y[1] (closed_form) -0.0010492189230111955 y[1] (numeric) -0.0010492189230108587 absolute error 3.367531947739977e-16 relative error 3.2095608208012125e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.942999999999896 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.942999999999883 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.056000000000104 y[1] (closed_form) -0.0010478894516627929 y[1] (numeric) -0.0010478894516624561 absolute error 3.367531947739977e-16 relative error 3.2136328334982006e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.943999999999896 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.943999999999895 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.055000000000104 y[1] (closed_form) -0.0010465620012991626 y[1] (numeric) -0.0010465620012988254 absolute error 3.371868756429919e-16 relative error 3.221852840294419e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.944999999999896 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9449999999999026 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.054000000000104 y[1] (closed_form) -0.001045236568336998 y[1] (numeric) -0.0010452365683366609 absolute error 3.371868756429919e-16 relative error 3.22593837469221e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.945999999999896 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9459999999999114 Order of pole (three term test) 9.3149078707548e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0530000000001043 y[1] (closed_form) -0.0010439131492002535 y[1] (numeric) -0.0010439131491999161 absolute error 3.37403716077489e-16 relative error 3.2321052410919e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.9469999999998957 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.946999999999867 Order of pole (three term test) 2.8344080020537905e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0520000000001044 y[1] (closed_form) -0.0010425917403201247 y[1] (numeric) -0.001042591740319787 absolute error 3.376205565119861e-16 relative error 3.2382815195554943e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.9479999999998956 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9479999999998743 Order of pole (three term test) 1.9166026843732251e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0510000000001045 y[1] (closed_form) -0.0010412723381350334 y[1] (numeric) -0.0010412723381346958 absolute error 3.376205565119861e-16 relative error 3.242384764745407e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.9489999999998955 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.948999999999838 Order of pole (three term test) 2.9159681532055237e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0500000000001046 y[1] (closed_form) -0.0010399549390906124 y[1] (numeric) -0.0010399549390902743 absolute error 3.380542373809803e-16 relative error 3.2506623573189766e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.9499999999998954 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9499999999998345 Order of pole (three term test) 3.943477606356114e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0490000000001047 y[1] (closed_form) -0.0010386395396396859 y[1] (numeric) -0.0010386395396393478 absolute error 3.380542373809803e-16 relative error 3.254779203748151e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.9509999999998953 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9509999999998873 Order of pole (three term test) 9.999440365729152e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.048000000000105 y[1] (closed_form) -0.0010373261362422565 y[1] (numeric) -0.0010373261362419182 absolute error 3.382710778154774e-16 relative error 3.260990598779994e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.951999999999895 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9519999999998547 Order of pole (three term test) 3.0426479036334794e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.047000000000105 y[1] (closed_form) -0.0010360147253654865 y[1] (numeric) -0.0010360147253651482 absolute error 3.382710778154774e-16 relative error 3.265118434452191e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.952999999999895 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9529999999998946 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.046000000000105 y[1] (closed_form) -0.001034705303483683 y[1] (numeric) -0.0010347053034833443 absolute error 3.387047586844716e-16 relative error 3.273441795882443e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.953999999999895 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9539999999998874 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.045000000000105 y[1] (closed_form) -0.0010333978670782802 y[1] (numeric) -0.0010333978670779415 absolute error 3.387047586844716e-16 relative error 3.2775832956002665e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.954999999999895 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9549999999998784 Order of pole (three term test) 1.0582428704332906e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0440000000001053 y[1] (closed_form) -0.0010320924126378252 y[1] (numeric) -0.0010320924126374865 absolute error 3.387047586844716e-16 relative error 3.281728986058611e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.9559999999998947 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9559999999998614 Order of pole (three term test) 1.0733315029436649e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0430000000001054 y[1] (closed_form) -0.0010307889366579603 y[1] (numeric) -0.0010307889366576214 absolute error 3.389215991189687e-16 relative error 3.2879825060775825e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.9569999999998946 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.956999999999874 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0420000000001055 y[1] (closed_form) -0.0010294874356414072 y[1] (numeric) -0.001029487435641068 absolute error 3.391384395534658e-16 relative error 3.2942455421242755e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.9579999999998945 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.95799999999987 Order of pole (three term test) 1.1041453944662881e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0410000000001056 y[1] (closed_form) -0.001028187906097951 y[1] (numeric) -0.0010281879060976117 absolute error 3.393552799879629e-16 relative error 3.300518105448655e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.9589999999998944 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9589999999998837 Order of pole (three term test) 1.1198764983676854e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0400000000001057 y[1] (closed_form) -0.0010268903445444242 y[1] (numeric) -0.001026890344544085 absolute error 3.391384395534658e-16 relative error 3.3025769631120953e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.9599999999998943 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.95999999999987 Order of pole (three term test) 2.271655340087751e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.039000000000106 y[1] (closed_form) -0.0010255947475046913 y[1] (numeric) -0.0010255947475043517 absolute error 3.3957212042246e-16 relative error 3.310977569343555e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.960999999999894 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9609999999998746 Order of pole (three term test) 2.304003862711406e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.038000000000106 y[1] (closed_form) -0.0010243011115096312 y[1] (numeric) -0.0010243011115092912 absolute error 3.400058012914542e-16 relative error 3.3193930717340357e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.961999999999894 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9619999999998887 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.037000000000106 y[1] (closed_form) -0.0010230094330971223 y[1] (numeric) -0.0010230094330967825 absolute error 3.397889608569571e-16 relative error 3.321464591272232e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.962999999999894 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.96299999999985 Order of pole (three term test) 1.185032014447276e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.036000000000106 y[1] (closed_form) -0.001021719708812028 y[1] (numeric) -0.0010217197088116879 absolute error 3.402226417259513e-16 relative error 3.329901917244352e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.963999999999894 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.963999999999857 Order of pole (three term test) 2.403788171375441e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0350000000001063 y[1] (closed_form) -0.001020431935206178 y[1] (numeric) -0.0010204319352058377 absolute error 3.402226417259513e-16 relative error 3.334104215948606e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.9649999999998937 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.964999999999862 Order of pole (three term test) 1.2189917465823973e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0340000000001064 y[1] (closed_form) -0.0010191461088383544 y[1] (numeric) -0.001019146108838014 absolute error 3.404394821604484e-16 relative error 3.3404384239713083e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.9659999999998936 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.965999999999897 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0330000000001065 y[1] (closed_form) -0.0010178622262742754 y[1] (numeric) -0.0010178622262739352 absolute error 3.402226417259513e-16 relative error 3.342521541164591e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.9669999999998935 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9669999999998615 Order of pole (three term test) 1.253906804378449e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0320000000001066 y[1] (closed_form) -0.0010165802840865804 y[1] (numeric) -0.00101658028408624 absolute error 3.404394821604484e-16 relative error 3.348869612067489e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.9679999999998934 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9679999999998943 Order of pole (three term test) 1.2717307940684489e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0310000000001067 y[1] (closed_form) -0.0010153002788548127 y[1] (numeric) -0.001015300278854472 absolute error 3.406563225949455e-16 relative error 3.355227312447721e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.9689999999998933 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9689999999998467 Order of pole (three term test) 2.579607120290141e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.030000000000107 y[1] (closed_form) -0.001014022207165405 y[1] (numeric) -0.0010140222071650642 absolute error 3.406563225949455e-16 relative error 3.3594562346638864e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.969999999999893 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9699999999998643 Order of pole (three term test) 1.3081285108815168e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.029000000000107 y[1] (closed_form) -0.0010127460656116634 y[1] (numeric) -0.0010127460656113225 absolute error 3.408731630294426e-16 relative error 3.365830533476989e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.970999999999893 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.970999999999886 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.028000000000107 y[1] (closed_form) -0.0010114718507937522 y[1] (numeric) -0.0010114718507934113 absolute error 3.408731630294426e-16 relative error 3.3700706822631046e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.971999999999893 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9719999999998774 Order of pole (three term test) 1.3455488291182878e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.027000000000107 y[1] (closed_form) -0.0010101995593186786 y[1] (numeric) -0.0010101995593183373 absolute error 3.413068438984368e-16 relative error 3.378608124998872e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.972999999999893 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9729999999998635 Order of pole (three term test) 1.3646512446770214e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0260000000001073 y[1] (closed_form) -0.0010089291878002753 y[1] (numeric) -0.001008929187799934 absolute error 3.413068438984368e-16 relative error 3.382862226858293e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.9739999999998927 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9739999999998843 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0250000000001074 y[1] (closed_form) -0.0010076607328591881 y[1] (numeric) -0.0010076607328588466 absolute error 3.415236843329339e-16 relative error 3.389272531875656e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.9749999999998926 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.97499999999989 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0240000000001075 y[1] (closed_form) -0.0010063941911228579 y[1] (numeric) -0.0010063941911225161 absolute error 3.41740524767431e-16 relative error 3.3956925405754076e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.9759999999998925 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9759999999998676 Order of pole (three term test) 7.117854031226537e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0230000000001076 y[1] (closed_form) -0.0010051295592255064 y[1] (numeric) -0.0010051295592251647 absolute error 3.41740524767431e-16 relative error 3.399964926220617e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.9769999999998924 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9769999999998857 Order of pole (three term test) 1.4437604070375273e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0220000000001077 y[1] (closed_form) -0.0010038668338081212 y[1] (numeric) -0.0010038668338077793 absolute error 3.419573652019281e-16 relative error 3.4064016629051186e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.9779999999998923 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.977999999999848 Order of pole (three term test) 1.4642311598516261e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.021000000000108 y[1] (closed_form) -0.0010026060115184397 y[1] (numeric) -0.0010026060115180975 absolute error 3.421742056364252e-16 relative error 3.412848134814241e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.978999999999892 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9789999999998598 Order of pole (three term test) 7.424934538684324e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.020000000000108 y[1] (closed_form) -0.001001347089010934 y[1] (numeric) -0.0010013470890105917 absolute error 3.421742056364252e-16 relative error 3.4171388661488274e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.979999999999892 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9799999999998708 Order of pole (three term test) 7.530157726435124e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.019000000000108 y[1] (closed_form) -0.0010000900629467957 y[1] (numeric) -0.0010000900629464535 absolute error 3.421742056364252e-16 relative error 3.4214339119438755e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.980999999999892 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9809999999998813 Order of pole (three term test) 1.5273690193186057e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.018000000000108 y[1] (closed_form) -0.0009988349299939216 y[1] (numeric) -0.0009988349299935792 absolute error 3.423910460709223e-16 relative error 3.42790420908694e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.981999999999892 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9819999999998785 Order of pole (three term test) 7.745016647788377e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0170000000001083 y[1] (closed_form) -0.0009975816868268966 y[1] (numeric) -0.0009975816868265542 absolute error 3.423910460709223e-16 relative error 3.4322106208665303e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.9829999999998917 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.982999999999859 Order of pole (three term test) 7.854692646678054e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0160000000001084 y[1] (closed_form) -0.0009963303301269808 y[1] (numeric) -0.0009963303301266384 absolute error 3.423910460709223e-16 relative error 3.4365213596105733e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.9839999999998916 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9839999999998787 Order of pole (three term test) 7.965893631468993e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0150000000001085 y[1] (closed_form) -0.0009950808565820932 y[1] (numeric) -0.0009950808565817506 absolute error 3.426078865054194e-16 relative error 3.4430155523462694e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.9849999999998915 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9849999999998644 Order of pole (three term test) 1.615728083097359e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0140000000001086 y[1] (closed_form) -0.000993833262886796 y[1] (numeric) -0.0009938332628864537 absolute error 3.423910460709223e-16 relative error 3.445155831033227e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.9859999999998914 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9859999999998874 Order of pole (three term test) 1.6385908181582314e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0130000000001087 y[1] (closed_form) -0.0009925875457422826 y[1] (numeric) -0.0009925875457419398 absolute error 3.428247269399165e-16 relative error 3.45384876538566e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.9869999999998913 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9869999999998784 Order of pole (three term test) 8.308856031836717e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.012000000000109 y[1] (closed_form) -0.0009913437018563575 y[1] (numeric) -0.000991343701856015 absolute error 3.426078865054194e-16 relative error 3.455994988053721e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.987999999999891 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9879999999998414 Order of pole (three term test) 2.527910369754659e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.011000000000109 y[1] (closed_form) -0.0009901017279434273 y[1] (numeric) -0.0009901017279430847 absolute error 3.426078865054194e-16 relative error 3.460330154327288e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.988999999999891 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9889999999998875 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.010000000000109 y[1] (closed_form) -0.0009888616207244822 y[1] (numeric) -0.000988861620724139 absolute error 3.432584078089107e-16 relative error 3.471248156616949e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.989999999999891 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.989999999999859 Order of pole (three term test) 8.666309508114186e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.009000000000109 y[1] (closed_form) -0.00098762337692708 y[1] (numeric) -0.0009876233769267368 absolute error 3.432584078089107e-16 relative error 3.4756002726154056e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.990999999999891 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.990999999999861 Order of pole (three term test) 1.7577568070774756e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0080000000001093 y[1] (closed_form) -0.0009863869932853356 y[1] (numeric) -0.0009863869932849924 absolute error 3.432584078089107e-16 relative error 3.4799567527307724e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.9919999999998907 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.991999999999882 Order of pole (three term test) 8.912958068091104e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0070000000001094 y[1] (closed_form) -0.000985152466539903 y[1] (numeric) -0.0009851524665395596 absolute error 3.434752482434078e-16 relative error 3.486518685272921e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.9929999999998906 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.992999999999869 Order of pole (three term test) 9.038854754625655e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0060000000001095 y[1] (closed_form) -0.0009839197934379611 y[1] (numeric) -0.0009839197934376177 absolute error 3.434752482434078e-16 relative error 3.4908866610280754e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.9939999999998905 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9939999999998923 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0050000000001096 y[1] (closed_form) -0.0009826889707332 y[1] (numeric) -0.0009826889707328563 absolute error 3.436920886779049e-16 relative error 3.497465616424602e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.9949999999998904 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.994999999999898 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0040000000001097 y[1] (closed_form) -0.0009814599951858047 y[1] (numeric) -0.000981459995185461 absolute error 3.436920886779049e-16 relative error 3.501845112014362e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.9959999999998903 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.995999999999909 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.00300000000011 y[1] (closed_form) -0.0009802328635624428 y[1] (numeric) -0.0009802328635620987 absolute error 3.441257695468991e-16 relative error 3.510653257392829e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.99699999999989 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.996999999999884 Order of pole (three term test) 9.560141920915682e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.00200000000011 y[1] (closed_form) -0.0009790075726362469 y[1] (numeric) -0.0009790075726359027 absolute error 3.441257695468991e-16 relative error 3.515047065675355e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.99799999999989 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.997999999999904 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.00100000000011 y[1] (closed_form) -0.0009777841191868032 y[1] (numeric) -0.0009777841191864589 absolute error 3.443426099813962e-16 relative error 3.521662944043075e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.99899999999989 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.998999999999887 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.00000000000011 y[1] (closed_form) -0.0009765625000001344 y[1] (numeric) -0.0009765624999997901 absolute error 3.443426099813962e-16 relative error 3.526068326209012e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h -0.001 Radius of convergence (given) for eq 1 3.99999999999989 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.999999999999876 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = neg ( 5.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) ; Iterations 1001 Total Elapsed Time 1 Seconds Elapsed Time(since restart) 1 Seconds Expected Time Remaining 0 Seconds Optimized Time Remaining 0 Seconds Expected Total Time 1 Seconds Time to Timeout 2 Minutes 59.0 Seconds Percent Done 0.0%