##############ECHO OF PROBLEM################# ##############temp/lin_lnpostode.ode################# diff ( y , x , 1 ) = ln ( 0.1 * x + 0.2 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(20.0) x_end=c(30.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true $glob_min_h=c(0.001) # 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(-2.0) # ELIMINATED in preodein.rb $array_given_rad_poles[1][2]=c(0.0) # ELIMINATED in preodein.rb $array_given_ord_poles[1][1]=c(1.0) # ELIMINATED in preodein.rb $array_given_ord_poles[1][2]=c(0.0) #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=8 $glob_max_minutes=(3.0) $glob_subiter_method=3 $glob_max_iter=100000 $glob_upper_ratio_limit=c(1.000001) $glob_lower_ratio_limit=c(0.999999) $glob_look_poles=true $glob_h=c(0.001) $glob_display_interval=c(0.01) #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) x = c(x) return(c(10.0) * (c(0.1) * c(x) + c(0.2)) * ln(c(0.1) * c(x) + c(0.2)) - c(x) - c(2.0)) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 20.0 y[1] (closed_form) -4.653938071986055 y[1] (numeric) -4.653938071986055 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 14 Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 22.0 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.00000000000018 Order of pole (three term test) 0.9999999999998785 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.010000000000012 y[1] (closed_form) -4.646051225999404 y[1] (numeric) -4.646051225999413 absolute error 8.881784197001252e-15 relative error 1.9116845176606307e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 22.010000000000012 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.010000000000087 Order of pole (three term test) 0.9999999999999885 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.020000000000024 y[1] (closed_form) -4.6381598366232275 y[1] (numeric) -4.638159836623248 absolute error 2.042810365310288e-14 relative error 4.4043552556773e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 22.020000000000024 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.01999999999972 Order of pole (three term test) 1.000000000000276 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.030000000000037 y[1] (closed_form) -4.6302639059208275 y[1] (numeric) -4.6302639059208595 absolute error 3.197442310920451e-14 relative error 6.905529308668143e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 22.030000000000037 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.03000000000003 Order of pole (three term test) 1.0000000000000162 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.04000000000005 y[1] (closed_form) -4.622363435953634 y[1] (numeric) -4.622363435953676 absolute error 4.1744385725905886e-14 relative error 9.030961391138136e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 22.04000000000005 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.039999999999804 Order of pole (three term test) 1.0000000000001237 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.05000000000006 y[1] (closed_form) -4.614458428781205 y[1] (numeric) -4.614458428781254 absolute error 4.884981308350689e-14 relative error 1.0586250550838608e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 Radius of convergence (given) for eq 1 22.05000000000006 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.049999999999937 Order of pole (three term test) 1.0000000000001337 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.060000000000073 y[1] (closed_form) -4.606548886461226 y[1] (numeric) -4.606548886461285 absolute error 5.861977570020827e-14 relative error 1.2725312841570703e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 Radius of convergence (given) for eq 1 22.060000000000073 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.05999999999986 Order of pole (three term test) 1.0000000000001938 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.070000000000086 y[1] (closed_form) -4.598634811049525 y[1] (numeric) -4.5986348110495925 absolute error 6.750155989720952e-14 relative error 1.4678608472022581e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 Radius of convergence (given) for eq 1 22.070000000000086 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.070000000000103 Order of pole (three term test) 0.9999999999999772 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.080000000000098 y[1] (closed_form) -4.5907162046000565 y[1] (numeric) -4.5907162046001355 absolute error 7.904787935331115e-14 relative error 1.721907341475442e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 Radius of convergence (given) for eq 1 22.080000000000098 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.080000000000176 Order of pole (three term test) 0.9999999999999957 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.09000000000011 y[1] (closed_form) -4.582793069164932 y[1] (numeric) -4.582793069165018 absolute error 8.615330671091215e-14 relative error 1.8799301083566237e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 Radius of convergence (given) for eq 1 22.09000000000011 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.089999999999904 Order of pole (three term test) 1.0000000000002043 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.100000000000122 y[1] (closed_form) -4.574865406794384 y[1] (numeric) -4.574865406794481 absolute error 9.681144774731365e-14 relative error 2.1161594744084417e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 Radius of convergence (given) for eq 1 22.100000000000122 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.10000000000008 Order of pole (three term test) 1.0000000000000804 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.110000000000134 y[1] (closed_form) -4.5669332195368035 y[1] (numeric) -4.566933219536911 absolute error 1.0746958878371515e-13 relative error 2.353211304338169e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 Radius of convergence (given) for eq 1 22.110000000000134 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.110000000000113 Order of pole (three term test) 1.0000000000000182 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.120000000000147 y[1] (closed_form) -4.558996509438728 y[1] (numeric) -4.558996509438844 absolute error 1.1546319456101628e-13 relative error 2.5326449432888753e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 Radius of convergence (given) for eq 1 22.120000000000147 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.119999999999884 Order of pole (three term test) 1.0000000000002296 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.13000000000016 y[1] (closed_form) -4.551055278544837 y[1] (numeric) -4.551055278544962 absolute error 1.2523315717771766e-13 relative error 2.7517388718196354e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 Radius of convergence (given) for eq 1 22.13000000000016 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.13000000000013 Order of pole (three term test) 1.000000000000163 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.14000000000017 y[1] (closed_form) -4.543109528897965 y[1] (numeric) -4.543109528898102 absolute error 1.3677947663381929e-13 relative error 3.010701717926626e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 Radius of convergence (given) for eq 1 22.14000000000017 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.1400000000001 Order of pole (three term test) 1.0000000000000815 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.150000000000183 y[1] (closed_form) -4.535159262539111 y[1] (numeric) -4.535159262539256 absolute error 1.4566126083082054e-13 relative error 3.21182239472818e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 Radius of convergence (given) for eq 1 22.150000000000183 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.150000000000226 Order of pole (three term test) 0.999999999999995 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.160000000000196 y[1] (closed_form) -4.527204481507415 y[1] (numeric) -4.527204481507571 absolute error 1.5631940186722204e-13 relative error 3.452890243985018e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 Radius of convergence (given) for eq 1 22.160000000000196 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.160000000000302 Order of pole (three term test) 1.0000000000000213 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.170000000000208 y[1] (closed_form) -4.519245187840188 y[1] (numeric) -4.519245187840353 absolute error 1.652011860642233e-13 relative error 3.65550394363921e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 Radius of convergence (given) for eq 1 22.170000000000208 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.170000000000005 Order of pole (three term test) 1.0000000000002807 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.18000000000022 y[1] (closed_form) -4.511281383572896 y[1] (numeric) -4.511281383573071 absolute error 1.7497114868092467e-13 relative error 3.878524388171704e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 Radius of convergence (given) for eq 1 22.18000000000022 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.17999999999992 Order of pole (three term test) 1.0000000000003306 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.190000000000232 y[1] (closed_form) -4.503313070739175 y[1] (numeric) -4.503313070739361 absolute error 1.865174681370263e-13 relative error 4.1417832872634656e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 Radius of convergence (given) for eq 1 22.190000000000232 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.190000000000182 Order of pole (three term test) 0.999999999999955 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.200000000000244 y[1] (closed_form) -4.495340251370827 y[1] (numeric) -4.495340251371023 absolute error 1.9628743075372768e-13 relative error 4.3664643781718415e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 Radius of convergence (given) for eq 1 22.200000000000244 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.200000000000163 Order of pole (three term test) 1.000000000000091 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.210000000000257 y[1] (closed_form) -4.4873629274978235 y[1] (numeric) -4.487362927498029 absolute error 2.0516921495072893e-13 relative error 4.572155590391088e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 Radius of convergence (given) for eq 1 22.210000000000257 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.210000000000118 Order of pole (three term test) 1.0000000000001563 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.22000000000027 y[1] (closed_form) -4.479381101148306 y[1] (numeric) -4.47938110114852 absolute error 2.1405099914773018e-13 relative error 4.778584235506495e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 Radius of convergence (given) for eq 1 22.22000000000027 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.22000000000011 Order of pole (three term test) 1.0000000000003122 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.23000000000028 y[1] (closed_form) -4.471394774348589 y[1] (numeric) -4.471394774348813 absolute error 2.2382096176443156e-13 relative error 5.0056184492687454e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 Radius of convergence (given) for eq 1 22.23000000000028 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.23000000000027 Order of pole (three term test) 1.0000000000000249 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.240000000000293 y[1] (closed_form) -4.4634039491231725 y[1] (numeric) -4.463403949123403 absolute error 2.3092638912203256e-13 relative error 5.173773016161748e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 Radius of convergence (given) for eq 1 22.240000000000293 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.240000000000347 Order of pole (three term test) 0.9999999999999423 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.250000000000306 y[1] (closed_form) -4.455408627494723 y[1] (numeric) -4.4554086274949665 absolute error 2.433608869978343e-13 relative error 5.462145166574231e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 Radius of convergence (given) for eq 1 22.250000000000306 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.250000000000096 Order of pole (three term test) 1.0000000000001354 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.260000000000318 y[1] (closed_form) -4.447408811484106 y[1] (numeric) -4.447408811484355 absolute error 2.4868995751603507e-13 relative error 5.5917944146233525e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 Radius of convergence (given) for eq 1 22.260000000000318 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.260000000000176 Order of pole (three term test) 1.00000000000008 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.27000000000033 y[1] (closed_form) -4.4394045031103495 y[1] (numeric) -4.43940450311061 absolute error 2.602362769721367e-13 relative error 5.861963621242649e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 Radius of convergence (given) for eq 1 22.27000000000033 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.27000000000019 Order of pole (three term test) 1.0000000000001088 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.280000000000342 y[1] (closed_form) -4.431395704390688 y[1] (numeric) -4.431395704390956 absolute error 2.682298827494378e-13 relative error 6.05294360157618e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 Radius of convergence (given) for eq 1 22.280000000000342 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.280000000000275 Order of pole (three term test) 1.000000000000174 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.290000000000354 y[1] (closed_form) -4.42338241734053 y[1] (numeric) -4.423382417340812 absolute error 2.815525590449397e-13 relative error 6.365096491345587e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 Radius of convergence (given) for eq 1 22.290000000000354 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.29000000000017 Order of pole (three term test) 1.0000000000001168 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.300000000000367 y[1] (closed_form) -4.4153646439734935 y[1] (numeric) -4.415364643973781 absolute error 2.877698079828406e-13 relative error 6.517464154984707e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 Radius of convergence (given) for eq 1 22.300000000000367 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.30000000000038 Order of pole (three term test) 1.0000000000000673 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.31000000000038 y[1] (closed_form) -4.407342386301369 y[1] (numeric) -4.407342386301669 absolute error 2.993161274389422e-13 relative error 6.791306442840887e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 Radius of convergence (given) for eq 1 22.31000000000038 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.310000000000382 Order of pole (three term test) 1.0000000000000104 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.32000000000039 y[1] (closed_form) -4.399315646334166 y[1] (numeric) -4.399315646334474 absolute error 3.0730973321624333e-13 relative error 6.9853985919904704e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 Radius of convergence (given) for eq 1 22.32000000000039 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.320000000000537 Order of pole (three term test) 0.9999999999997856 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.330000000000403 y[1] (closed_form) -4.39128442608007 y[1] (numeric) -4.391284426080387 absolute error 3.170796958329447e-13 relative error 7.2206594942880874e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 Radius of convergence (given) for eq 1 22.330000000000403 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.33000000000014 Order of pole (three term test) 1.0000000000002625 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.340000000000416 y[1] (closed_form) -4.383248727545485 y[1] (numeric) -4.38324872754581 absolute error 3.2507330161024584e-13 relative error 7.416264095792692e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 Radius of convergence (given) for eq 1 22.340000000000416 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.340000000000256 Order of pole (three term test) 1.0000000000000848 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.350000000000428 y[1] (closed_form) -4.37520855273501 y[1] (numeric) -4.375208552735347 absolute error 3.3661962106634746e-13 relative error 7.693796010156392e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 Radius of convergence (given) for eq 1 22.350000000000428 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.350000000000364 Order of pole (three term test) 1.0000000000000662 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.36000000000044 y[1] (closed_form) -4.367163903651456 y[1] (numeric) -4.367163903651802 absolute error 3.4638958368304884e-13 relative error 7.931682696713695e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 Radius of convergence (given) for eq 1 22.36000000000044 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.360000000000387 Order of pole (three term test) 1.0000000000000357 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.370000000000452 y[1] (closed_form) -4.3591147822958405 y[1] (numeric) -4.359114782296197 absolute error 3.561595462997502e-13 relative error 8.17045579405848e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 Radius of convergence (given) for eq 1 22.370000000000452 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.370000000000488 Order of pole (three term test) 1.0000000000000169 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.380000000000464 y[1] (closed_form) -4.351061190667391 y[1] (numeric) -4.351061190667756 absolute error 3.6504133049675147e-13 relative error 8.38970803903494e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 Radius of convergence (given) for eq 1 22.380000000000464 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.380000000000514 Order of pole (three term test) 1.0000000000000102 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.390000000000477 y[1] (closed_form) -4.343003130763542 y[1] (numeric) -4.343003130763918 absolute error 3.765876499528531e-13 relative error 8.671134664520616e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 Radius of convergence (given) for eq 1 22.390000000000477 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.390000000000406 Order of pole (three term test) 1.0000000000001 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.40000000000049 y[1] (closed_form) -4.334940604579959 y[1] (numeric) -4.334940604580345 absolute error 3.863576125695545e-13 relative error 8.91263912961943e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 Radius of convergence (given) for eq 1 22.40000000000049 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.40000000000058 Order of pole (three term test) 0.9999999999999297 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.4100000000005 y[1] (closed_form) -4.326873614110511 y[1] (numeric) -4.326873614110908 absolute error 3.97015753605956e-13 relative error 9.17558008422605e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 Radius of convergence (given) for eq 1 22.4100000000005 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.410000000000373 Order of pole (three term test) 1.0000000000000535 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.420000000000513 y[1] (closed_form) -4.3188021613473 y[1] (numeric) -4.318802161347704 absolute error 4.04121180963557e-13 relative error 9.357251521738767e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 Radius of convergence (given) for eq 1 22.420000000000513 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.42000000000019 Order of pole (three term test) 1.0000000000003357 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.430000000000526 y[1] (closed_form) -4.310726248280634 y[1] (numeric) -4.3107262482810516 absolute error 4.1744385725905886e-13 relative error 9.68384056922101e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 Radius of convergence (given) for eq 1 22.430000000000526 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.430000000000256 Order of pole (three term test) 1.0000000000002165 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.440000000000538 y[1] (closed_form) -4.302645876899067 y[1] (numeric) -4.302645876899494 absolute error 4.2721381987576024e-13 relative error 9.92909554024592e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 Radius of convergence (given) for eq 1 22.440000000000538 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.44000000000036 Order of pole (three term test) 1.0000000000001734 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.45000000000055 y[1] (closed_form) -4.294561049189369 y[1] (numeric) -4.294561049189805 absolute error 4.360956040727615e-13 relative error 1.0154602509494605e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.45000000000055 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.450000000000404 Order of pole (three term test) 1.0000000000000242 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.460000000000562 y[1] (closed_form) -4.286471767136536 y[1] (numeric) -4.286471767136982 absolute error 4.4586556668946287e-13 relative error 1.0401691435548904e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.460000000000562 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.46000000000061 Order of pole (three term test) 0.9999999999999839 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.470000000000574 y[1] (closed_form) -4.278378032723808 y[1] (numeric) -4.2783780327242615 absolute error 4.53859172466764e-13 relative error 1.060820640428113e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.470000000000574 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.470000000000613 Order of pole (three term test) 0.9999999999999312 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.480000000000587 y[1] (closed_form) -4.270279847932649 y[1] (numeric) -4.2702798479331125 absolute error 4.636291350834654e-13 relative error 1.0857113622375826e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.480000000000587 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.48000000000046 Order of pole (three term test) 1.0000000000001494 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.4900000000006 y[1] (closed_form) -4.262177214742767 y[1] (numeric) -4.26217721474324 absolute error 4.733990977001667e-13 relative error 1.1106978284776401e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.4900000000006 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.490000000000506 Order of pole (three term test) 1.000000000000092 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.50000000000061 y[1] (closed_form) -4.254070135132107 y[1] (numeric) -4.254070135132592 absolute error 4.849454171562684e-13 relative error 1.1399563282968977e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.50000000000061 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.50000000000056 Order of pole (three term test) 1.0000000000000469 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.510000000000623 y[1] (closed_form) -4.245958611076855 y[1] (numeric) -4.245958611077352 absolute error 4.973799150320701e-13 relative error 1.1714196029478612e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.510000000000623 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.510000000000424 Order of pole (three term test) 1.0000000000001972 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.520000000000636 y[1] (closed_form) -4.237842644551446 y[1] (numeric) -4.237842644551952 absolute error 5.062616992290714e-13 relative error 1.1946212771254433e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.520000000000636 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.520000000000355 Order of pole (three term test) 1.0000000000003357 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.530000000000648 y[1] (closed_form) -4.229722237528552 y[1] (numeric) -4.229722237529071 absolute error 5.186961971048731e-13 relative error 1.2263126701387132e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.530000000000648 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.53000000000065 Order of pole (three term test) 0.9999999999999982 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.54000000000066 y[1] (closed_form) -4.221597391979106 y[1] (numeric) -4.221597391979634 absolute error 5.275779813018744e-13 relative error 1.2497117377991917e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.54000000000066 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.540000000000546 Order of pole (three term test) 0.9999999999999614 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.550000000000672 y[1] (closed_form) -4.213468109872284 y[1] (numeric) -4.213468109872819 absolute error 5.346834086594754e-13 relative error 1.2689864850446971e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.550000000000672 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.55000000000056 Order of pole (three term test) 1.0000000000001963 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.560000000000684 y[1] (closed_form) -4.205334393175512 y[1] (numeric) -4.20533439317606 absolute error 5.480060849549773e-13 relative error 1.3031213067010577e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.560000000000684 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.560000000000706 Order of pole (three term test) 1.0000000000001128 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.570000000000697 y[1] (closed_form) -4.197196243854481 y[1] (numeric) -4.19719624385504 absolute error 5.586642259913788e-13 relative error 1.331041470384838e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.570000000000697 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.570000000000537 Order of pole (three term test) 1.0000000000000668 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.58000000000071 y[1] (closed_form) -4.189053663873143 y[1] (numeric) -4.1890536638737075 absolute error 5.648814749292796e-13 relative error 1.3484703712460868e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.58000000000071 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.58000000000064 Order of pole (three term test) 1.0000000000000817 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.59000000000072 y[1] (closed_form) -4.1809066551936915 y[1] (numeric) -4.180906655194268 absolute error 5.764277943853813e-13 relative error 1.378714814570948e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.59000000000072 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.590000000000455 Order of pole (three term test) 1.0000000000001754 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.600000000000733 y[1] (closed_form) -4.1727552197766045 y[1] (numeric) -4.172755219777189 absolute error 5.844214001626824e-13 relative error 1.4005647812573352e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.600000000000733 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.600000000000673 Order of pole (three term test) 1.000000000000022 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.610000000000746 y[1] (closed_form) -4.16459935958061 y[1] (numeric) -4.164599359581206 absolute error 5.95967719618784e-13 relative error 1.4310325391751493e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.610000000000746 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.610000000000586 Order of pole (three term test) 1.0000000000001363 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.620000000000758 y[1] (closed_form) -4.156439076562712 y[1] (numeric) -4.156439076563317 absolute error 6.048495038157853e-13 relative error 1.4552108010590235e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.620000000000758 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.62000000000072 Order of pole (three term test) 0.9999999999999905 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.63000000000077 y[1] (closed_form) -4.1482743726781806 y[1] (numeric) -4.148274372678795 absolute error 6.146194664324867e-13 relative error 1.481626843394354e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.63000000000077 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.63000000000064 Order of pole (three term test) 1.000000000000173 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.640000000000782 y[1] (closed_form) -4.1401052498805555 y[1] (numeric) -4.140105249881183 absolute error 6.270539643082884e-13 relative error 1.5145845973997384e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.640000000000782 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.640000000000605 Order of pole (three term test) 1.000000000000028 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.650000000000794 y[1] (closed_form) -4.131931710121659 y[1] (numeric) -4.131931710122295 absolute error 6.359357485052897e-13 relative error 1.5390761346502638e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.650000000000794 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.650000000000695 Order of pole (three term test) 1.0000000000001363 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.660000000000807 y[1] (closed_form) -4.123753755351583 y[1] (numeric) -4.123753755352225 absolute error 6.421529974431905e-13 relative error 1.5572050018986692e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.660000000000807 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.66000000000073 Order of pole (three term test) 1.0000000000001452 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.67000000000082 y[1] (closed_form) -4.115571387518692 y[1] (numeric) -4.115571387519348 absolute error 6.563638521583925e-13 relative error 1.5948304387306937e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.67000000000082 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.670000000000623 Order of pole (three term test) 1.0000000000003386 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.68000000000083 y[1] (closed_form) -4.1073846085696495 y[1] (numeric) -4.107384608570315 absolute error 6.652456363553938e-13 relative error 1.6196331723292358e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.68000000000083 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.680000000000636 Order of pole (three term test) 1.0000000000002345 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.690000000000843 y[1] (closed_form) -4.099193420449389 y[1] (numeric) -4.099193420450063 absolute error 6.741274205523951e-13 relative error 1.6445367451787416e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.690000000000843 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.690000000001078 Order of pole (three term test) 0.9999999999998845 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.700000000000855 y[1] (closed_form) -4.09099782510113 y[1] (numeric) -4.090997825101816 absolute error 6.856737400084967e-13 relative error 1.6760550098594752e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.700000000000855 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.700000000000635 Order of pole (three term test) 1.0000000000001403 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.710000000000868 y[1] (closed_form) -4.082797824466386 y[1] (numeric) -4.082797824467082 absolute error 6.963318810448982e-13 relative error 1.705526237111453e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.710000000000868 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.71000000000082 Order of pole (three term test) 1.000000000000086 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.72000000000088 y[1] (closed_form) -4.074593420484955 y[1] (numeric) -4.074593420485663 absolute error 7.078782005009998e-13 relative error 1.7372977557519067e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.72000000000088 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.72000000000089 Order of pole (three term test) 1.000000000000006 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.730000000000892 y[1] (closed_form) -4.0663846150949325 y[1] (numeric) -4.066384615095651 absolute error 7.185363415374013e-13 relative error 1.767015197898654e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.730000000000892 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.730000000000746 Order of pole (three term test) 1.0000000000001799 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.740000000000904 y[1] (closed_form) -4.058171410232706 y[1] (numeric) -4.0581714102334345 absolute error 7.283063041541027e-13 relative error 1.794666194527105e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.740000000000904 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.740000000000876 Order of pole (three term test) 1.0000000000000768 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.750000000000917 y[1] (closed_form) -4.049953807832956 y[1] (numeric) -4.049953807833696 absolute error 7.398526236102043e-13 relative error 1.826817437224262e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.750000000000917 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.75000000000082 Order of pole (three term test) 1.0000000000000506 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.76000000000093 y[1] (closed_form) -4.041731809828672 y[1] (numeric) -4.041731809829421 absolute error 7.487344078072056e-13 relative error 1.8525088824212318e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.76000000000093 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.760000000000833 Order of pole (three term test) 1.0000000000000642 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.77000000000094 y[1] (closed_form) -4.033505418151133 y[1] (numeric) -4.033505418151893 absolute error 7.593925488436071e-13 relative error 1.8827111163066076e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.77000000000094 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.770000000001023 Order of pole (three term test) 0.9999999999999216 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.780000000000953 y[1] (closed_form) -4.025274634729932 y[1] (numeric) -4.025274634730701 absolute error 7.691625114603085e-13 relative error 1.910832381035571e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.780000000000953 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.78000000000063 Order of pole (three term test) 1.0000000000002593 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.790000000000965 y[1] (closed_form) -4.017039461492963 y[1] (numeric) -4.017039461493742 absolute error 7.789324740770098e-13 relative error 1.9390710037673207e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.790000000000965 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.790000000000934 Order of pole (three term test) 0.9999999999999679 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.800000000000978 y[1] (closed_form) -4.0087999003664265 y[1] (numeric) -4.008799900367217 absolute error 7.904787935331115e-13 relative error 1.9718589432734155e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.800000000000978 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.80000000000075 Order of pole (three term test) 1.0000000000002178 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.81000000000099 y[1] (closed_form) -4.000555953274837 y[1] (numeric) -4.000555953275638 absolute error 8.01136934569513e-13 relative error 2.0025640034198394e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.81000000000099 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.810000000000937 Order of pole (three term test) 1.00000000000006 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.820000000001002 y[1] (closed_form) -3.99230762214102 y[1] (numeric) -3.9923076221418317 absolute error 8.117950756059145e-13 relative error 2.033398105656397e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.820000000001002 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.820000000000945 Order of pole (three term test) 1.0000000000000284 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.830000000001014 y[1] (closed_form) -3.984054908886119 y[1] (numeric) -3.984054908886939 absolute error 8.202327705930657e-13 relative error 2.0587888203136998e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.830000000001014 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.830000000001014 Order of pole (three term test) 1.0000000000000235 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.840000000001027 y[1] (closed_form) -3.975797815429587 y[1] (numeric) -3.975797815430417 absolute error 8.30002733209767e-13 relative error 2.087638184186901e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.840000000001027 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.840000000000863 Order of pole (three term test) 1.0000000000000944 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.85000000000104 y[1] (closed_form) -3.9675363436892006 y[1] (numeric) -3.9675363436900417 absolute error 8.411049634560186e-13 relative error 2.1199678858490808e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.85000000000104 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.850000000000808 Order of pole (three term test) 1.000000000000248 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.86000000000105 y[1] (closed_form) -3.9592704955810625 y[1] (numeric) -3.959270495581912 absolute error 8.495426584431698e-13 relative error 2.145705021648163e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.86000000000105 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.860000000000998 Order of pole (three term test) 1.0000000000000986 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.870000000001063 y[1] (closed_form) -3.951000273019588 y[1] (numeric) -3.95100027302045 absolute error 8.619771563189715e-13 relative error 2.1816681770568383e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.870000000001063 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.870000000000896 Order of pole (three term test) 1.0000000000001281 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.880000000001075 y[1] (closed_form) -3.9427256779175295 y[1] (numeric) -3.9427256779184017 absolute error 8.72191208145523e-13 relative error 2.2121529099285378e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.880000000001075 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.880000000001072 Order of pole (three term test) 1.0000000000000404 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.890000000001088 y[1] (closed_form) -3.934446712185963 y[1] (numeric) -3.9344467121868445 absolute error 8.815170815523743e-13 relative error 2.240510918147896e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.890000000001088 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.89000000000103 Order of pole (three term test) 1.0000000000000806 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.9000000000011 y[1] (closed_form) -3.926163377734291 y[1] (numeric) -3.926163377735182 absolute error 8.912870441690757e-13 relative error 2.2701221483131946e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.9000000000011 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.90000000000117 Order of pole (three term test) 1.0000000000000058 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.910000000001112 y[1] (closed_form) -3.9178756764702527 y[1] (numeric) -3.917875676471154 absolute error 9.015010959956271e-13 relative error 2.3009946472008016e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.910000000001112 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.910000000001066 Order of pole (three term test) 1.0000000000001914 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.920000000001124 y[1] (closed_form) -3.909583610299922 y[1] (numeric) -3.909583610300834 absolute error 9.117151478221786e-13 relative error 2.332000639199111e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.920000000001124 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.920000000000904 Order of pole (three term test) 1.0000000000001805 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.930000000001137 y[1] (closed_form) -3.9012871811277066 y[1] (numeric) -3.9012871811286303 absolute error 9.237055564881302e-13 relative error 2.3676943367730336e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.930000000001137 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.930000000000994 Order of pole (three term test) 1.0000000000002327 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.94000000000115 y[1] (closed_form) -3.892986390856361 y[1] (numeric) -3.8929863908572906 absolute error 9.29478716216181e-13 relative error 2.387572477518265e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.94000000000115 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.940000000001124 Order of pole (three term test) 1.0000000000001457 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.95000000000116 y[1] (closed_form) -3.8846812413869642 y[1] (numeric) -3.8846812413879057 absolute error 9.414691248821327e-13 relative error 2.4235427989607612e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.95000000000116 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.950000000001058 Order of pole (three term test) 1.0000000000001028 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.960000000001173 y[1] (closed_form) -3.8763717346189566 y[1] (numeric) -3.8763717346199074 absolute error 9.50794998288984e-13 relative error 2.4527962315834145e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.960000000001173 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.96000000000122 Order of pole (three term test) 1.000000000000017 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.970000000001185 y[1] (closed_form) -3.868057872450116 y[1] (numeric) -3.868057872451075 absolute error 9.587886040662852e-13 relative error 2.4787338651139844e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.970000000001185 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.97000000000108 Order of pole (three term test) 1.000000000000145 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.980000000001198 y[1] (closed_form) -3.859739656776565 y[1] (numeric) -3.8597396567775335 absolute error 9.685585666829866e-13 relative error 2.509388333957922e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.980000000001198 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.980000000000906 Order of pole (three term test) 1.0000000000003362 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 20.99000000000121 y[1] (closed_form) -3.8514170894927773 y[1] (numeric) -3.8514170894937587 absolute error 9.814371537686384e-13 relative error 2.5482494649726222e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 22.99000000000121 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 22.990000000001157 Order of pole (three term test) 1.0000000000001807 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.000000000001222 y[1] (closed_form) -3.843090172491589 y[1] (numeric) -3.8430901724925794 absolute error 9.903189379656396e-13 relative error 2.576881867238589e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.000000000001222 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.000000000001183 Order of pole (three term test) 1.000000000000142 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.010000000001234 y[1] (closed_form) -3.834758907664174 y[1] (numeric) -3.8347589076651754 absolute error 1.0014211682118912e-12 relative error 2.6114318848323015e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.010000000001234 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.01000000000107 Order of pole (three term test) 1.0000000000001763 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.020000000001247 y[1] (closed_form) -3.8264232969000744 y[1] (numeric) -3.8264232969010856 absolute error 1.0111911308285926e-12 relative error 2.6426536019885606e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.020000000001247 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.02000000000092 Order of pole (three term test) 1.0000000000002498 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.03000000000126 y[1] (closed_form) -3.818083342087185 y[1] (numeric) -3.8180833420882054 absolute error 1.0205170042354439e-12 relative error 2.6728515666123998e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.03000000000126 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.030000000001227 Order of pole (three term test) 0.9999999999999656 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.04000000000127 y[1] (closed_form) -3.809739045111762 y[1] (numeric) -3.809739045112793 absolute error 1.0311751452718454e-12 relative error 2.706681830596602e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.04000000000127 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.040000000001097 Order of pole (three term test) 1.0000000000001752 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.050000000001283 y[1] (closed_form) -3.801390407858424 y[1] (numeric) -3.8013904078594662 absolute error 1.042277375518097e-12 relative error 2.7418319711741503e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.050000000001283 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.05000000000123 Order of pole (three term test) 1.0000000000000577 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.060000000001295 y[1] (closed_form) -3.793037432210159 y[1] (numeric) -3.793037432211208 absolute error 1.048938713665848e-12 relative error 2.7654320117126906e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.060000000001295 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.060000000001263 Order of pole (three term test) 1.0000000000000995 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.070000000001308 y[1] (closed_form) -3.7846801200483107 y[1] (numeric) -3.7846801200493716 absolute error 1.0609291223317996e-12 relative error 2.8032200573882505e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.070000000001308 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.070000000001304 Order of pole (three term test) 0.9999999999999711 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.08000000000132 y[1] (closed_form) -3.776318473252605 y[1] (numeric) -3.776318473253676 absolute error 1.071143174158351e-12 relative error 2.8364746822737062e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.08000000000132 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.080000000000954 Order of pole (three term test) 1.0000000000003004 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.090000000001332 y[1] (closed_form) -3.767952493701131 y[1] (numeric) -3.767952493702212 absolute error 1.0813572259849025e-12 relative error 2.869880200964854e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.090000000001332 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.090000000001357 Order of pole (three term test) 0.9999999999999519 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.100000000001344 y[1] (closed_form) -3.75958218327035 y[1] (numeric) -3.7595821832714442 absolute error 1.0942358130705543e-12 relative error 2.910525052330977e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.100000000001344 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.10000000000123 Order of pole (three term test) 1.0000000000000868 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.110000000001357 y[1] (closed_form) -3.751207543835111 y[1] (numeric) -3.7512075438362125 absolute error 1.1013412404281553e-12 relative error 2.935964559567345e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.110000000001357 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.11000000000136 Order of pole (three term test) 1.0000000000000417 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.12000000000137 y[1] (closed_form) -3.7428285772686216 y[1] (numeric) -3.7428285772697336 absolute error 1.1119993814645568e-12 relative error 2.971013388692391e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.12000000000137 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.120000000000996 Order of pole (three term test) 1.0000000000003897 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.13000000000138 y[1] (closed_form) -3.734445285442483 y[1] (numeric) -3.7344452854436048 absolute error 1.1217693440812582e-12 relative error 3.0038446364554065e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.13000000000138 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.130000000001246 Order of pole (three term test) 1.0000000000001081 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.140000000001393 y[1] (closed_form) -3.7260576702266697 y[1] (numeric) -3.726057670227803 absolute error 1.1333156635373598e-12 relative error 3.041594531918278e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.140000000001393 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.140000000001393 Order of pole (three term test) 0.9999999999999465 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.150000000001405 y[1] (closed_form) -3.71766573348955 y[1] (numeric) -3.7176657334906915 absolute error 1.141309269314661e-12 relative error 3.069962043745612e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.150000000001405 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.150000000001384 Order of pole (three term test) 1.0000000000000617 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.160000000001418 y[1] (closed_form) -3.709269477097866 y[1] (numeric) -3.709269477099018 absolute error 1.1519674103510624e-12 relative error 3.105644972584635e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.160000000001418 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.160000000001325 Order of pole (three term test) 1.0000000000000553 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.17000000000143 y[1] (closed_form) -3.7008689029167563 y[1] (numeric) -3.700868902917919 absolute error 1.162625551387464e-12 relative error 3.1414934759541656e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.17000000000143 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.170000000001448 Order of pole (three term test) 1.000000000000012 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.180000000001442 y[1] (closed_form) -3.6924640128097472 y[1] (numeric) -3.6924640128109187 absolute error 1.1715073355844652e-12 relative error 3.172698045316946e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.180000000001442 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.18000000000115 Order of pole (three term test) 1.000000000000197 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.190000000001454 y[1] (closed_form) -3.6840548086387557 y[1] (numeric) -3.684054808639937 absolute error 1.1812772982011666e-12 relative error 3.206459620066413e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.190000000001454 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.190000000001284 Order of pole (three term test) 1.0000000000001323 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.200000000001467 y[1] (closed_form) -3.6756412922640926 y[1] (numeric) -3.675641292265286 absolute error 1.1932677068671182e-12 relative error 3.2464204528840154e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.200000000001467 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.200000000001587 Order of pole (three term test) 1.0000000000000009 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.21000000000148 y[1] (closed_form) -3.6672234655444704 y[1] (numeric) -3.6672234655456744 absolute error 1.2039258479035198e-12 relative error 3.282935602956974e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.21000000000148 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.210000000001557 Order of pole (three term test) 1.0000000000000815 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.22000000000149 y[1] (closed_form) -3.6588013303369955 y[1] (numeric) -3.658801330338208 absolute error 1.212363542890671e-12 relative error 3.313553903127628e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.22000000000149 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.220000000001374 Order of pole (three term test) 1.000000000000065 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.230000000001503 y[1] (closed_form) -3.6503748884971685 y[1] (numeric) -3.6503748884983955 absolute error 1.227018486815723e-12 relative error 3.361349243011249e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.230000000001503 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.23000000000155 Order of pole (three term test) 1.0000000000000144 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.240000000001515 y[1] (closed_form) -3.641944141878909 y[1] (numeric) -3.6419441418801455 absolute error 1.2363443602225743e-12 relative error 3.3947372943087866e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.240000000001515 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.240000000001405 Order of pole (three term test) 1.000000000000069 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.250000000001528 y[1] (closed_form) -3.6335090923345277 y[1] (numeric) -3.633509092335773 absolute error 1.2452261444195756e-12 relative error 3.4270621395900194e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.250000000001528 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.250000000001318 Order of pole (three term test) 1.0000000000001854 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.26000000000154 y[1] (closed_form) -3.625069741714743 y[1] (numeric) -3.6250697417159987 absolute error 1.255884285455977e-12 relative error 3.464441720952696e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.26000000000154 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.260000000001543 Order of pole (three term test) 1.0000000000000124 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.270000000001552 y[1] (closed_form) -3.6166260918686888 y[1] (numeric) -3.616626091869953 absolute error 1.2643219804431283e-12 relative error 3.495860363573998e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.270000000001552 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.270000000001392 Order of pole (three term test) 1.0000000000000462 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.280000000001564 y[1] (closed_form) -3.608178144643901 y[1] (numeric) -3.6081781446451764 absolute error 1.2754242106893798e-12 relative error 3.534814966336021e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.280000000001564 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.280000000001486 Order of pole (three term test) 1.000000000000149 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.290000000001577 y[1] (closed_form) -3.5997259018863375 y[1] (numeric) -3.5997259018876213 absolute error 1.283861905676531e-12 relative error 3.566554622961038e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.290000000001577 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.290000000001456 Order of pole (three term test) 1.0000000000001583 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.30000000000159 y[1] (closed_form) -3.591269365440361 y[1] (numeric) -3.591269365441656 absolute error 1.2949641359227826e-12 relative error 3.605867463979534e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.30000000000159 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.300000000001457 Order of pole (three term test) 1.0000000000001827 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.3100000000016 y[1] (closed_form) -3.582808537148761 y[1] (numeric) -3.5828085371500658 absolute error 1.304734098539484e-12 relative error 3.641651751722703e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.3100000000016 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.310000000001494 Order of pole (three term test) 1.0000000000001443 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.320000000001613 y[1] (closed_form) -3.5743434188527345 y[1] (numeric) -3.5743434188540544 absolute error 1.319833131674386e-12 relative error 3.6925190923540754e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.320000000001613 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.320000000001524 Order of pole (three term test) 1.0000000000001295 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.330000000001625 y[1] (closed_form) -3.565874012391916 y[1] (numeric) -3.5658740123932446 absolute error 1.3287149158713873e-12 relative error 3.726197031229694e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.330000000001625 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.330000000001423 Order of pole (three term test) 1.0000000000001261 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.340000000001638 y[1] (closed_form) -3.5574003196043478 y[1] (numeric) -3.5574003196056863 absolute error 1.3384848784880887e-12 relative error 3.76253656669417e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.340000000001638 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.340000000001428 Order of pole (three term test) 1.0000000000001639 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.35000000000165 y[1] (closed_form) -3.5489223423265024 y[1] (numeric) -3.548922342327851 absolute error 1.3486989303146402e-12 relative error 3.800305558195162e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.35000000000165 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.35000000000165 Order of pole (three term test) 0.9999999999999188 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.360000000001662 y[1] (closed_form) -3.540440082393282 y[1] (numeric) -3.5404400823946394 absolute error 1.3575807145116414e-12 relative error 3.834497076402825e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.360000000001662 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.360000000001516 Order of pole (three term test) 1.0000000000001295 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.370000000001674 y[1] (closed_form) -3.531953541638007 y[1] (numeric) -3.5319535416393784 absolute error 1.3713474800169934e-12 relative error 3.882688330552067e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.370000000001674 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.370000000001447 Order of pole (three term test) 1.0000000000002682 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.380000000001687 y[1] (closed_form) -3.52346272189245 y[1] (numeric) -3.523462721893829 absolute error 1.3788969965844444e-12 relative error 3.913471222547345e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.380000000001687 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.38000000000152 Order of pole (three term test) 1.0000000000000209 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.3900000000017 y[1] (closed_form) -3.5149676249867916 y[1] (numeric) -3.514967624988183 absolute error 1.3913314944602462e-12 relative error 3.9583052901247545e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.3900000000017 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.390000000001642 Order of pole (three term test) 1.0000000000000897 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.40000000000171 y[1] (closed_form) -3.5064682527496664 y[1] (numeric) -3.5064682527510693 absolute error 1.4028778139163478e-12 relative error 4.00082850548056e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.40000000000171 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.400000000001647 Order of pole (three term test) 1.0000000000001876 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.410000000001723 y[1] (closed_form) -3.4979646070081394 y[1] (numeric) -3.497964607009552 absolute error 1.4126477765330492e-12 relative error 4.03848504842737e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.410000000001723 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.410000000001716 Order of pole (three term test) 1.000000000000079 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.420000000001735 y[1] (closed_form) -3.489456689587712 y[1] (numeric) -3.489456689589135 absolute error 1.4228618283596006e-12 relative error 4.0776027758284495e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.420000000001735 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.42000000000173 Order of pole (three term test) 1.0000000000000528 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.430000000001748 y[1] (closed_form) -3.4809445023123295 y[1] (numeric) -3.480944502313762 absolute error 1.432631790976302e-12 relative error 4.1156409992306114e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.430000000001748 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.43000000000149 Order of pole (three term test) 1.0000000000002214 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.44000000000176 y[1] (closed_form) -3.4724280470043816 y[1] (numeric) -3.472428047005824 absolute error 1.4424017535930034e-12 relative error 4.1538708191155885e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.44000000000176 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.440000000001593 Order of pole (three term test) 1.000000000000161 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.450000000001772 y[1] (closed_form) -3.4639073254846977 y[1] (numeric) -3.463907325486151 absolute error 1.453503983839255e-12 relative error 4.1961399288760386e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.450000000001772 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.4500000000018 Order of pole (three term test) 0.9999999999999805 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.460000000001784 y[1] (closed_form) -3.4553823395725622 y[1] (numeric) -3.455382339574026 absolute error 1.4637180356658064e-12 relative error 4.236052314392714e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.460000000001784 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.460000000001713 Order of pole (three term test) 1.0000000000000826 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.470000000001797 y[1] (closed_form) -3.4468530910857 y[1] (numeric) -3.446853091087176 absolute error 1.4761525335416081e-12 relative error 4.282609367249375e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.470000000001797 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.470000000001694 Order of pole (three term test) 1.000000000000063 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.48000000000181 y[1] (closed_form) -3.4383195818402967 y[1] (numeric) -3.4383195818417827 absolute error 1.4859224961583095e-12 relative error 4.321653240165061e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.48000000000181 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.48000000000177 Order of pole (three term test) 0.9999999999999812 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.49000000000182 y[1] (closed_form) -3.4297818136509832 y[1] (numeric) -3.4297818136524776 absolute error 1.4943601911454607e-12 relative error 4.357012405855412e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.49000000000182 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.49000000000183 Order of pole (three term test) 0.9999999999999661 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.500000000001833 y[1] (closed_form) -3.421239788330844 y[1] (numeric) -3.4212397883323504 absolute error 1.5063505998114124e-12 relative error 4.402937803276079e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.500000000001833 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.50000000000142 Order of pole (three term test) 1.000000000000412 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.510000000001845 y[1] (closed_form) -3.4126935076914293 y[1] (numeric) -3.4126935076929454 absolute error 1.5161205624281138e-12 relative error 4.442592219345585e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.510000000001845 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.510000000001565 Order of pole (three term test) 1.0000000000002125 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.520000000001858 y[1] (closed_form) -3.40414297354274 y[1] (numeric) -3.4041429735442676 absolute error 1.5276668818842154e-12 relative error 4.487669565459969e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.520000000001858 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.52000000000177 Order of pole (three term test) 1.0000000000000637 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.53000000000187 y[1] (closed_form) -3.395588187693246 y[1] (numeric) -3.3955881876947815 absolute error 1.5356604876615165e-12 relative error 4.522516874181819e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.53000000000187 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.530000000001753 Order of pole (three term test) 1.0000000000001765 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.540000000001882 y[1] (closed_form) -3.387029151949868 y[1] (numeric) -3.3870291519514146 absolute error 1.546762717907768e-12 relative error 4.5667239593060994e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.540000000001882 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.54000000000166 Order of pole (three term test) 1.0000000000002096 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.550000000001894 y[1] (closed_form) -3.3784658681180026 y[1] (numeric) -3.3784658681195605 absolute error 1.5578649481540197e-12 relative error 4.6111608314747865e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.550000000001894 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.550000000001752 Order of pole (three term test) 1.0000000000001084 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.560000000001907 y[1] (closed_form) -3.3698983380015086 y[1] (numeric) -3.369898338003077 absolute error 1.5685230891904212e-12 relative error 4.654511596099428e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.560000000001907 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.56000000000163 Order of pole (three term test) 1.0000000000001623 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.57000000000192 y[1] (closed_form) -3.361326563402713 y[1] (numeric) -3.3613265634042935 absolute error 1.5805134978563729e-12 relative error 4.702052799821982e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.57000000000192 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.570000000001738 Order of pole (three term test) 1.000000000000037 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.58000000000193 y[1] (closed_form) -3.352750546122415 y[1] (numeric) -3.3527505461240072 absolute error 1.5920598173124745e-12 relative error 4.748518553382246e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.58000000000193 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.580000000001913 Order of pole (three term test) 1.0000000000000167 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.590000000001943 y[1] (closed_form) -3.344170287959887 y[1] (numeric) -3.344170287961491 absolute error 1.6040502259784262e-12 relative error 4.79655665787575e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.590000000001943 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.590000000001854 Order of pole (three term test) 1.0000000000000515 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.600000000001955 y[1] (closed_form) -3.3355857907128765 y[1] (numeric) -3.33558579071449 absolute error 1.6133760993852775e-12 relative error 4.836859851955626e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.600000000001955 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.60000000000186 Order of pole (three term test) 1.0000000000001497 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.610000000001968 y[1] (closed_form) -3.3269970561776034 y[1] (numeric) -3.326997056179227 absolute error 1.623590151211829e-12 relative error 4.880046852452513e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.610000000001968 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.61000000000202 Order of pole (three term test) 1.0000000000000364 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.62000000000198 y[1] (closed_form) -3.3184040861487674 y[1] (numeric) -3.3184040861504025 absolute error 1.6351364706679306e-12 relative error 4.9274784752498815e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.62000000000198 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.62000000000191 Order of pole (three term test) 1.000000000000053 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.630000000001992 y[1] (closed_form) -3.3098068824195543 y[1] (numeric) -3.3098068824211966 absolute error 1.6422418980255316e-12 relative error 4.9617453717571894e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.630000000001992 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.630000000001928 Order of pole (three term test) 1.0000000000000056 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.640000000002004 y[1] (closed_form) -3.301205446781619 y[1] (numeric) -3.3012054467832734 absolute error 1.6542323066914832e-12 relative error 5.010994721047162e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.640000000002004 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.640000000001944 Order of pole (three term test) 1.0000000000001137 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.650000000002017 y[1] (closed_form) -3.292599781025114 y[1] (numeric) -3.292599781026781 absolute error 1.667110893777135e-12 relative error 5.0632053837350947e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.650000000002017 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.65000000000197 Order of pole (three term test) 1.0000000000000075 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.66000000000203 y[1] (closed_form) -3.283989886938677 y[1] (numeric) -3.2839898869403537 absolute error 1.6764367671839864e-12 relative error 5.1048779834908515e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.66000000000203 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.6600000000019 Order of pole (three term test) 0.9999999999999526 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.67000000000204 y[1] (closed_form) -3.2753757663094234 y[1] (numeric) -3.275375766311112 absolute error 1.688427175849938e-12 relative error 5.15491136381093e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.67000000000204 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.670000000001867 Order of pole (three term test) 1.0000000000000906 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.680000000002053 y[1] (closed_form) -3.2667574209229677 y[1] (numeric) -3.2667574209246677 absolute error 1.6999734953060397e-12 relative error 5.2038559227508865e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.680000000002053 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.68000000000188 Order of pole (three term test) 1.0000000000003606 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.690000000002065 y[1] (closed_form) -3.2581348525634155 y[1] (numeric) -3.2581348525651257 absolute error 1.7101875471325911e-12 relative error 5.2489771741248226e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.690000000002065 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.6900000000022 Order of pole (three term test) 0.9999999999999901 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.700000000002078 y[1] (closed_form) -3.249508063013362 y[1] (numeric) -3.2495080630150825 absolute error 1.7204015989591426e-12 relative error 5.294344761107516e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.700000000002078 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.700000000002024 Order of pole (three term test) 1.0000000000000793 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.71000000000209 y[1] (closed_form) -3.2408770540539003 y[1] (numeric) -3.240877054055631 absolute error 1.730615650785694e-12 relative error 5.33996082517517e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.71000000000209 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.710000000002047 Order of pole (three term test) 1.000000000000023 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.720000000002102 y[1] (closed_form) -3.2322418274646196 y[1] (numeric) -3.2322418274663622 absolute error 1.7426060594516457e-12 relative error 5.3913232749003536e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.720000000002102 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.72000000000206 Order of pole (three term test) 1.0000000000000706 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.730000000002114 y[1] (closed_form) -3.2236023850236144 y[1] (numeric) -3.223602385025367 absolute error 1.752376022068347e-12 relative error 5.4360799278770545e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.730000000002114 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.730000000002068 Order of pole (three term test) 1.0000000000000029 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.740000000002127 y[1] (closed_form) -3.2149587285074723 y[1] (numeric) -3.214958728509236 absolute error 1.7634782523145986e-12 relative error 5.4852282758021104e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.740000000002127 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.740000000002002 Order of pole (three term test) 1.000000000000055 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.75000000000214 y[1] (closed_form) -3.206310859691289 y[1] (numeric) -3.2063108596930645 absolute error 1.7754686609805503e-12 relative error 5.5374189798661525e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.75000000000214 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.750000000002068 Order of pole (three term test) 1.0000000000000844 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.76000000000215 y[1] (closed_form) -3.197658780348668 y[1] (numeric) -3.1976587803504533 absolute error 1.7852386235972517e-12 relative error 5.582955362743838e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.76000000000215 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.760000000001828 Order of pole (three term test) 1.0000000000002103 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.770000000002163 y[1] (closed_form) -3.1890024922517135 y[1] (numeric) -3.1890024922535085 absolute error 1.795008586213953e-12 relative error 5.628746263370025e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.770000000002163 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.770000000002113 Order of pole (three term test) 1.0000000000000393 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.780000000002175 y[1] (closed_form) -3.180341997171041 y[1] (numeric) -3.1803419971728473 absolute error 1.8061108164602047e-12 relative error 5.6789830089555327e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.780000000002175 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.780000000002122 Order of pole (three term test) 1.000000000000065 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.790000000002188 y[1] (closed_form) -3.171677296875778 y[1] (numeric) -3.1716772968775966 absolute error 1.8185453143360064e-12 relative error 5.733702215314724e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.790000000002188 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.79000000000206 Order of pole (three term test) 1.000000000000075 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.8000000000022 y[1] (closed_form) -3.1630083931335697 y[1] (numeric) -3.163008393135395 absolute error 1.8252066524837574e-12 relative error 5.770476791797376e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.8000000000022 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.800000000002193 Order of pole (three term test) 1.0000000000000315 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.810000000002212 y[1] (closed_form) -3.154335287710559 y[1] (numeric) -3.154335287712398 absolute error 1.8389734179891093e-12 relative error 5.829987145481451e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.810000000002212 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.81000000000231 Order of pole (three term test) 0.9999999999999423 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.820000000002224 y[1] (closed_form) -3.145657982371425 y[1] (numeric) -3.1456579823732755 absolute error 1.850519737445211e-12 relative error 5.882774757509254e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.820000000002224 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.820000000002196 Order of pole (three term test) 1.0000000000000426 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.830000000002237 y[1] (closed_form) -3.136976478879358 y[1] (numeric) -3.136976478881217 absolute error 1.858957432432362e-12 relative error 5.925952728521729e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.830000000002237 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.83000000000226 Order of pole (three term test) 1.0000000000000209 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.84000000000225 y[1] (closed_form) -3.1282907789960603 y[1] (numeric) -3.1282907789979317 absolute error 1.871391930308164e-12 relative error 5.982154673322076e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.84000000000225 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.840000000001993 Order of pole (three term test) 1.00000000000019 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.85000000000226 y[1] (closed_form) -3.1196008844817698 y[1] (numeric) -3.1196008844836505 absolute error 1.880717803715015e-12 relative error 6.02871288141541e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.85000000000226 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.850000000002144 Order of pole (three term test) 1.0000000000002025 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.860000000002273 y[1] (closed_form) -3.1109067970952395 y[1] (numeric) -3.110906797097129 absolute error 1.8895995879120164e-12 relative error 6.074111862420309e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.860000000002273 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.86000000000246 Order of pole (three term test) 0.9999999999999412 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.870000000002285 y[1] (closed_form) -3.1022085185937485 y[1] (numeric) -3.102208518595649 absolute error 1.900701818158268e-12 relative error 6.126931206480822e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.870000000002285 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.870000000002054 Order of pole (three term test) 1.0000000000001568 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.880000000002298 y[1] (closed_form) -3.0935060507331045 y[1] (numeric) -3.0935060507350185 absolute error 1.91402449445377e-12 relative error 6.187233718195511e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.880000000002298 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.88000000000225 Order of pole (three term test) 1.0000000000000744 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.89000000000231 y[1] (closed_form) -3.084799395267652 y[1] (numeric) -3.0847993952695747 absolute error 1.922906278650771e-12 relative error 6.233488899150703e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.89000000000231 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.89000000000221 Order of pole (three term test) 1.0000000000001135 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.900000000002322 y[1] (closed_form) -3.076088553950253 y[1] (numeric) -3.0760885539521885 absolute error 1.935340776526573e-12 relative error 6.291563921465284e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.900000000002322 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.900000000002155 Order of pole (three term test) 1.000000000000132 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.910000000002334 y[1] (closed_form) -3.0673735285323183 y[1] (numeric) -3.0673735285342616 absolute error 1.943334382303874e-12 relative error 6.335499619551465e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.910000000002334 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.910000000002313 Order of pole (three term test) 1.0000000000000624 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.920000000002346 y[1] (closed_form) -3.0586543207637753 y[1] (numeric) -3.0586543207657315 absolute error 1.956212969389526e-12 relative error 6.395665427471518e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.920000000002346 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.9200000000022 Order of pole (three term test) 1.0000000000001203 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.93000000000236 y[1] (closed_form) -3.0499309323931065 y[1] (numeric) -3.0499309323950734 absolute error 1.9668711104259273e-12 relative error 6.448903775282006e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.93000000000236 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.93000000000236 Order of pole (three term test) 1.000000000000189 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.94000000000237 y[1] (closed_form) -3.04120336516732 y[1] (numeric) -3.041203365169299 absolute error 1.979305608301729e-12 relative error 6.508297442294959e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.94000000000237 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.940000000002446 Order of pole (three term test) 1.0000000000000417 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.950000000002383 y[1] (closed_form) -3.032471620831977 y[1] (numeric) -3.032471620833964 absolute error 1.98685512486918e-12 relative error 6.551933120231722e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.950000000002383 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.950000000002284 Order of pole (three term test) 1.0000000000000222 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.960000000002395 y[1] (closed_form) -3.023735701131166 y[1] (numeric) -3.023735701133162 absolute error 1.9961809982760315e-12 relative error 6.601704631556485e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.960000000002395 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.96000000000228 Order of pole (three term test) 1.000000000000035 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.970000000002408 y[1] (closed_form) -3.014995607807524 y[1] (numeric) -3.0149956078095346 absolute error 2.0103918529912335e-12 relative error 6.667976058688759e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.970000000002408 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.970000000002283 Order of pole (three term test) 1.0000000000000875 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.98000000000242 y[1] (closed_form) -3.0062513426022477 y[1] (numeric) -3.0062513426042674 absolute error 2.0197177263980848e-12 relative error 6.718392763027568e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.98000000000242 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.98000000000228 Order of pole (three term test) 1.0000000000001557 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 21.990000000002432 y[1] (closed_form) -2.9975029072550647 y[1] (numeric) -2.997502907257095 absolute error 2.0303758674344863e-12 relative error 6.773557625316147e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 23.990000000002432 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 23.99000000000224 Order of pole (three term test) 1.0000000000002 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.000000000002444 y[1] (closed_form) -2.9887503035042577 y[1] (numeric) -2.9887503035063006 absolute error 2.042810365310288e-12 relative error 6.834998437022753e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 24.000000000002444 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.00000000000245 Order of pole (three term test) 1.0000000000001348 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.010000000002456 y[1] (closed_form) -2.9799935330866667 y[1] (numeric) -2.979993533088719 absolute error 2.0521362387171393e-12 relative error 6.88637816133629e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 24.010000000002456 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.01000000000247 Order of pole (three term test) 1.0000000000000078 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.02000000000247 y[1] (closed_form) -2.9712325977376786 y[1] (numeric) -2.971232597739739 absolute error 2.0605739337042905e-12 relative error 6.935081202573063e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 24.02000000000247 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.020000000002522 Order of pole (three term test) 1.000000000000048 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.03000000000248 y[1] (closed_form) -2.962467499191227 y[1] (numeric) -2.962467499193303 absolute error 2.0756729668391927e-12 relative error 7.006567894519906e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 24.03000000000248 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.030000000002218 Order of pole (three term test) 1.0000000000002212 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.040000000002493 y[1] (closed_form) -2.9536982391798254 y[1] (numeric) -2.953698239181911 absolute error 2.085442929455894e-12 relative error 7.060446804596308e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 24.040000000002493 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.0400000000024 Order of pole (three term test) 1.0000000000000182 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.050000000002505 y[1] (closed_form) -2.9449248194345223 y[1] (numeric) -2.944924819436622 absolute error 2.099653784171096e-12 relative error 7.12973645478076e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 24.050000000002505 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.05000000000245 Order of pole (three term test) 0.9999999999999974 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.060000000002518 y[1] (closed_form) -2.936147241684946 y[1] (numeric) -2.9361472416870553 absolute error 2.1094237467877974e-12 relative error 7.184325488994474e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 24.060000000002518 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.060000000002304 Order of pole (three term test) 1.0000000000001124 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.07000000000253 y[1] (closed_form) -2.9273655076592746 y[1] (numeric) -2.9273655076613916 absolute error 2.1169732633552485e-12 relative error 7.231667032409572e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 24.07000000000253 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.070000000002455 Order of pole (three term test) 1.0000000000001543 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.080000000002542 y[1] (closed_form) -2.918579619084248 y[1] (numeric) -2.9185796190863766 absolute error 2.12851958281135e-12 relative error 7.292998172443923e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 24.080000000002542 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.080000000002414 Order of pole (three term test) 1.000000000000069 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.090000000002554 y[1] (closed_form) -2.909789577685185 y[1] (numeric) -2.9097895776873224 absolute error 2.1374013670083514e-12 relative error 7.345553037236153e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 24.090000000002554 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.090000000002423 Order of pole (three term test) 1.0000000000001539 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.100000000002566 y[1] (closed_form) -2.900995385185958 y[1] (numeric) -2.900995385188108 absolute error 2.150279954094003e-12 relative error 7.412214321589371e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 24.100000000002566 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.100000000002648 Order of pole (three term test) 0.9999999999998748 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.11000000000258 y[1] (closed_form) -2.892197043309018 y[1] (numeric) -2.8921970433111808 absolute error 2.162714451969805e-12 relative error 7.477756250989738e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 24.11000000000258 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.110000000002444 Order of pole (three term test) 1.000000000000199 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.12000000000259 y[1] (closed_form) -2.883394553775389 y[1] (numeric) -2.8833945537775603 absolute error 2.171152146956956e-12 relative error 7.529847568429876e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 24.12000000000259 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.120000000002538 Order of pole (three term test) 1.0000000000000435 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.130000000002603 y[1] (closed_form) -2.8745879183046554 y[1] (numeric) -2.87458791830684 absolute error 2.184474823252458e-12 relative error 7.599262521567943e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 24.130000000002603 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.13000000000256 Order of pole (three term test) 0.9999999999999764 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.140000000002615 y[1] (closed_form) -2.865777138614991 y[1] (numeric) -2.8657771386171853 absolute error 2.1942447858691594e-12 relative error 7.656718159631986e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 24.140000000002615 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.14000000000234 Order of pole (three term test) 1.0000000000002252 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.150000000002628 y[1] (closed_form) -2.8569622164231383 y[1] (numeric) -2.8569622164253414 absolute error 2.2031265700661606e-12 relative error 7.711430544658839e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 24.150000000002628 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.150000000002283 Order of pole (three term test) 1.0000000000002995 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.16000000000264 y[1] (closed_form) -2.848143153444415 y[1] (numeric) -2.8481431534466295 absolute error 2.2146728895222623e-12 relative error 7.775848228850217e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 24.16000000000264 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.16000000000246 Order of pole (three term test) 1.0000000000001736 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.170000000002652 y[1] (closed_form) -2.8393199513927243 y[1] (numeric) -2.8393199513949523 absolute error 2.227995565817764e-12 relative error 7.846933786820688e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 24.170000000002652 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.170000000002297 Order of pole (three term test) 1.0000000000001574 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.180000000002664 y[1] (closed_form) -2.8304926119805565 y[1] (numeric) -2.8304926119827925 absolute error 2.2359891715950653e-12 relative error 7.899646733331325e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 24.180000000002664 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.180000000002785 Order of pole (three term test) 1.000000000000019 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.190000000002676 y[1] (closed_form) -2.8216611369189692 y[1] (numeric) -2.8216611369212186 absolute error 2.249311847890567e-12 relative error 7.971587439966791e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 24.190000000002676 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.190000000002684 Order of pole (three term test) 0.9999999999999946 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.20000000000269 y[1] (closed_form) -2.8128255279176244 y[1] (numeric) -2.812825527919882 absolute error 2.2577495428777183e-12 relative error 8.026624902502087e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 24.20000000000269 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.200000000002618 Order of pole (three term test) 1.0000000000000742 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.2100000000027 y[1] (closed_form) -2.803985786684752 y[1] (numeric) -2.803985786687022 absolute error 2.27018404075352e-12 relative error 8.096275136393027e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 24.2100000000027 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.210000000002566 Order of pole (three term test) 1.000000000000123 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.220000000002713 y[1] (closed_form) -2.795141914927189 y[1] (numeric) -2.7951419149294687 absolute error 2.2795099141603714e-12 relative error 8.155256454017113e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 24.220000000002713 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.22000000000262 Order of pole (three term test) 1.0000000000000517 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.230000000002725 y[1] (closed_form) -2.786293914350349 y[1] (numeric) -2.786293914352641 absolute error 2.291944412036173e-12 relative error 8.225781207904486e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 24.230000000002725 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.23000000000267 Order of pole (three term test) 1.0000000000000335 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.240000000002738 y[1] (closed_form) -2.777441786658244 y[1] (numeric) -2.7774417866605488 absolute error 2.304822999121825e-12 relative error 8.298366540725725e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 24.240000000002738 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.240000000002617 Order of pole (three term test) 1.0000000000001157 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.25000000000275 y[1] (closed_form) -2.768585533553484 y[1] (numeric) -2.7685855335557976 absolute error 2.3137047833188262e-12 relative error 8.356992244878136e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 24.25000000000275 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.250000000002668 Order of pole (three term test) 1.0000000000001061 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.260000000002762 y[1] (closed_form) -2.7597251567372645 y[1] (numeric) -2.75972515673959 absolute error 2.325695191984778e-12 relative error 8.427271050188105e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 24.260000000002762 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.260000000002606 Order of pole (three term test) 1.0000000000001597 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.270000000002774 y[1] (closed_form) -2.7508606579093886 y[1] (numeric) -2.750860657911724 absolute error 2.3354651546014793e-12 relative error 8.48994349418046e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 24.270000000002774 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.27000000000261 Order of pole (three term test) 1.0000000000001004 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.280000000002786 y[1] (closed_form) -2.7419920387682524 y[1] (numeric) -2.741992038770598 absolute error 2.3456792064280307e-12 relative error 8.554653599511354e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 24.280000000002786 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.280000000002605 Order of pole (three term test) 1.000000000000176 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.2900000000028 y[1] (closed_form) -2.733119301010852 y[1] (numeric) -2.73311930101321 absolute error 2.3581137043038325e-12 relative error 8.627920864748485e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 24.2900000000028 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.290000000002856 Order of pole (three term test) 1.000000000000013 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.30000000000281 y[1] (closed_form) -2.724242446332795 y[1] (numeric) -2.724242446335163 absolute error 2.367883666920534e-12 relative error 8.691897705756809e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 24.30000000000281 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.30000000000272 Order of pole (three term test) 1.0000000000000047 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.310000000002823 y[1] (closed_form) -2.7153614764282814 y[1] (numeric) -2.715361476430662 absolute error 2.3807622540061857e-12 relative error 8.767754402768433e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 24.310000000002823 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.31000000000224 Order of pole (three term test) 1.0000000000005491 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.320000000002835 y[1] (closed_form) -2.7064763929901297 y[1] (numeric) -2.7064763929925193 absolute error 2.389644038203187e-12 relative error 8.829354818658128e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 24.320000000002835 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.320000000002636 Order of pole (three term test) 1.000000000000151 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.330000000002848 y[1] (closed_form) -2.6975871977097547 y[1] (numeric) -2.6975871977121555 absolute error 2.4007462684494385e-12 relative error 8.899605805097483e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 24.330000000002848 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.330000000002826 Order of pole (three term test) 0.9999999999999754 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.34000000000286 y[1] (closed_form) -2.6886938922771897 y[1] (numeric) -2.6886938922796007 absolute error 2.41096032027599e-12 relative error 8.967031640162007e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 24.34000000000286 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.340000000002977 Order of pole (three term test) 0.9999999999998611 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.350000000002872 y[1] (closed_form) -2.679796478381075 y[1] (numeric) -2.679796478383496 absolute error 2.4211743721025414e-12 relative error 9.034918851618266e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 24.350000000002872 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.350000000002737 Order of pole (three term test) 1.0000000000001155 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.360000000002884 y[1] (closed_form) -2.6708949577086614 y[1] (numeric) -2.670894957711095 absolute error 2.433608869978343e-12 relative error 9.11158584861052e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 24.360000000002884 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.360000000002707 Order of pole (three term test) 1.0000000000001517 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.370000000002896 y[1] (closed_form) -2.661989331945822 y[1] (numeric) -2.661989331948266 absolute error 2.4438229218048946e-12 relative error 9.18043845058742e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 24.370000000002896 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.370000000002708 Order of pole (three term test) 0.9999999999999932 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.38000000000291 y[1] (closed_form) -2.6530796027770407 y[1] (numeric) -2.6530796027794956 absolute error 2.454925152051146e-12 relative error 9.253115321083915e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 24.38000000000291 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.380000000002664 Order of pole (three term test) 1.0000000000002596 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.39000000000292 y[1] (closed_form) -2.6441657718854223 y[1] (numeric) -2.644165771887887 absolute error 2.4646951146678475e-12 relative error 9.321257921398766e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 24.39000000000292 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.390000000002686 Order of pole (three term test) 1.000000000000308 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.400000000002933 y[1] (closed_form) -2.6352478409526867 y[1] (numeric) -2.635247840955163 absolute error 2.476241434123949e-12 relative error 9.396616878466907e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 24.400000000002933 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.400000000002986 Order of pole (three term test) 0.9999999999998899 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.410000000002945 y[1] (closed_form) -2.626325811659182 y[1] (numeric) -2.626325811661668 absolute error 2.4860113967406505e-12 relative error 9.465738735477423e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 24.410000000002945 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.410000000002658 Order of pole (three term test) 1.000000000000185 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.420000000002958 y[1] (closed_form) -2.6173996856838713 y[1] (numeric) -2.6173996856863706 absolute error 2.4993340730361524e-12 relative error 9.548920200099776e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 24.420000000002958 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.420000000002947 Order of pole (three term test) 1.0000000000000573 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.43000000000297 y[1] (closed_form) -2.6084694647043527 y[1] (numeric) -2.608469464706864 absolute error 2.511324481702104e-12 relative error 9.627578607621313e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 24.43000000000297 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.430000000002906 Order of pole (three term test) 0.9999999999999616 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.440000000002982 y[1] (closed_form) -2.5995351503968465 y[1] (numeric) -2.599535150399367 absolute error 2.5206503551089554e-12 relative error 9.696542686580528e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 24.440000000002982 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.44000000000324 Order of pole (three term test) 0.9999999999999081 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.450000000002994 y[1] (closed_form) -2.5905967444361977 y[1] (numeric) -2.590596744438729 absolute error 2.531308496145357e-12 relative error 9.771140574394013e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 24.450000000002994 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.45000000000307 Order of pole (three term test) 0.9999999999999476 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.460000000003006 y[1] (closed_form) -2.5816542484958838 y[1] (numeric) -2.5816542484984266 absolute error 2.5428548156014585e-12 relative error 9.849710963747254e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 24.460000000003006 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.460000000002974 Order of pole (three term test) 1.0000000000000457 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.47000000000302 y[1] (closed_form) -2.5727076642480142 y[1] (numeric) -2.5727076642505695 absolute error 2.5552893134772603e-12 relative error 9.932295647061614e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Radius of convergence (given) for eq 1 24.47000000000302 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.470000000002674 Order of pole (three term test) 1.000000000000266 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.48000000000303 y[1] (closed_form) -2.5637569933633344 y[1] (numeric) -2.5637569933659012 absolute error 2.566835632933362e-12 relative error 1.0012008312714493e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.48000000000303 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.480000000002853 Order of pole (three term test) 1.0000000000001212 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.490000000003043 y[1] (closed_form) -2.554802237511222 y[1] (numeric) -2.554802237513799 absolute error 2.5770496847599134e-12 relative error 1.0087080897777685e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.490000000003043 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.4900000000029 Order of pole (three term test) 1.0000000000001452 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.500000000003055 y[1] (closed_form) -2.545843398359686 y[1] (numeric) -2.545843398362276 absolute error 2.589928271845565e-12 relative error 1.0173164121227108e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.500000000003055 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.50000000000304 Order of pole (three term test) 1.000000000000025 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.510000000003068 y[1] (closed_form) -2.5368804775753873 y[1] (numeric) -2.536880477577987 absolute error 2.5996982344622666e-12 relative error 1.0247618117771623e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.510000000003068 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.51000000000291 Order of pole (three term test) 1.0000000000001932 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.52000000000308 y[1] (closed_form) -2.527913476823617 y[1] (numeric) -2.527913476826225 absolute error 2.6081359294494177e-12 relative error 1.0317346512692366e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.52000000000308 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.520000000003133 Order of pole (three term test) 1.0000000000000304 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.530000000003092 y[1] (closed_form) -2.5189423977683028 y[1] (numeric) -2.518942397770924 absolute error 2.6214586057449196e-12 relative error 1.0406981152357604e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.530000000003092 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.530000000002957 Order of pole (three term test) 1.0000000000000693 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.540000000003104 y[1] (closed_form) -2.5099672420720296 y[1] (numeric) -2.5099672420746617 absolute error 2.632116746781321e-12 relative error 1.0486657764539009e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.540000000003104 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.540000000002994 Order of pole (three term test) 1.0000000000000808 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.550000000003116 y[1] (closed_form) -2.500988011396018 y[1] (numeric) -2.500988011398662 absolute error 2.644107155447273e-12 relative error 1.0572250420230395e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.550000000003116 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.550000000003124 Order of pole (three term test) 0.999999999999967 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.56000000000313 y[1] (closed_form) -2.4920047074001417 y[1] (numeric) -2.492004707402794 absolute error 2.652100761224574e-12 relative error 1.064243880980248e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.56000000000313 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.56000000000285 Order of pole (three term test) 1.000000000000311 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.57000000000314 y[1] (closed_form) -2.4830173317429107 y[1] (numeric) -2.483017331745575 absolute error 2.6640911698905256e-12 relative error 1.0729249191428371e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.57000000000314 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.5700000000029 Order of pole (three term test) 1.0000000000002052 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.580000000003153 y[1] (closed_form) -2.474025886081499 y[1] (numeric) -2.474025886084174 absolute error 2.675193400136777e-12 relative error 1.0813118064717983e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.580000000003153 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.580000000003054 Order of pole (three term test) 1.0000000000000024 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.590000000003165 y[1] (closed_form) -2.4650303720717233 y[1] (numeric) -2.465030372074411 absolute error 2.687627898012579e-12 relative error 1.0903021433175181e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.590000000003165 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.590000000003098 Order of pole (three term test) 1.0000000000000033 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.600000000003178 y[1] (closed_form) -2.456030791368061 y[1] (numeric) -2.456030791370757 absolute error 2.69606559299973e-12 relative error 1.0977328144562735e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.600000000003178 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.600000000003114 Order of pole (three term test) 0.9999999999999081 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.61000000000319 y[1] (closed_form) -2.4470271456236325 y[1] (numeric) -2.4470271456263406 absolute error 2.708056001665682e-12 relative error 1.1066718268773129e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.61000000000319 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.610000000003005 Order of pole (three term test) 1.000000000000263 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.620000000003202 y[1] (closed_form) -2.4380194364902295 y[1] (numeric) -2.4380194364929464 absolute error 2.716937785862683e-12 relative error 1.1144036611020559e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.620000000003202 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.620000000003113 Order of pole (three term test) 1.000000000000141 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.630000000003214 y[1] (closed_form) -2.429007665618286 y[1] (numeric) -2.4290076656210164 absolute error 2.730260462158185e-12 relative error 1.1240229912832395e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.630000000003214 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.63000000000318 Order of pole (three term test) 1.000000000000128 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.640000000003226 y[1] (closed_form) -2.419991834656912 y[1] (numeric) -2.4199918346596534 absolute error 2.7413626924044365e-12 relative error 1.1327983231782623e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.640000000003226 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.640000000003187 Order of pole (three term test) 1.0000000000000144 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.65000000000324 y[1] (closed_form) -2.41097194525387 y[1] (numeric) -2.4109719452566205 absolute error 2.750688565811288e-12 relative error 1.140904427040791e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.65000000000324 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.650000000003082 Order of pole (three term test) 1.0000000000001432 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.66000000000325 y[1] (closed_form) -2.401947999055583 y[1] (numeric) -2.401947999058344 absolute error 2.7609026176378393e-12 relative error 1.1494431264637673e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.66000000000325 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.66000000000298 Order of pole (three term test) 1.000000000000313 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.670000000003263 y[1] (closed_form) -2.3929199977071427 y[1] (numeric) -2.3929199977099156 absolute error 2.772893026303791e-12 relative error 1.1587905274563012e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.670000000003263 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.670000000002968 Order of pole (three term test) 1.0000000000002116 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.680000000003275 y[1] (closed_form) -2.3838879428523114 y[1] (numeric) -2.383887942855094 absolute error 2.7826629889204924e-12 relative error 1.1672792747091327e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.680000000003275 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.6800000000032 Order of pole (three term test) 1.0000000000000278 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.690000000003288 y[1] (closed_form) -2.3748518361335087 y[1] (numeric) -2.3748518361363042 absolute error 2.795541576006144e-12 relative error 1.1771435731155169e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.690000000003288 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.690000000003266 Order of pole (three term test) 0.999999999999984 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.7000000000033 y[1] (closed_form) -2.3658116791918324 y[1] (numeric) -2.365811679194641 absolute error 2.808420163091796e-12 relative error 1.1870852561059127e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.7000000000033 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.700000000003385 Order of pole (three term test) 1.0000000000000109 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.710000000003312 y[1] (closed_form) -2.356767473667052 y[1] (numeric) -2.356767473669871 absolute error 2.8190783041281975e-12 relative error 1.1961631071485409e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.710000000003312 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.71000000000312 Order of pole (three term test) 1.0000000000001483 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.720000000003324 y[1] (closed_form) -2.347719221197604 y[1] (numeric) -2.3477192212004345 absolute error 2.830624623584299e-12 relative error 1.205691293075651e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.720000000003324 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.72000000000308 Order of pole (three term test) 1.0000000000002458 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.730000000003336 y[1] (closed_form) -2.338666923420604 y[1] (numeric) -2.3386669234234434 absolute error 2.8395064077813004e-12 relative error 1.2141559703714257e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.730000000003336 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.7300000000031 Order of pole (three term test) 1.0000000000000986 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.74000000000335 y[1] (closed_form) -2.3296105819718385 y[1] (numeric) -2.329610581974689 absolute error 2.850608638027552e-12 relative error 1.2236416936322157e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.74000000000335 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.740000000003292 Order of pole (three term test) 1.000000000000019 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.75000000000336 y[1] (closed_form) -2.3205501984857726 y[1] (numeric) -2.3205501984886374 absolute error 2.864819492742754e-12 relative error 1.2345432107489565e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.75000000000336 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.750000000003386 Order of pole (three term test) 1.0000000000000244 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.760000000003373 y[1] (closed_form) -2.311485774595564 y[1] (numeric) -2.3114857745984363 absolute error 2.872369009310205e-12 relative error 1.242650524125669e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.760000000003373 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.76000000000312 Order of pole (three term test) 1.000000000000059 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.770000000003385 y[1] (closed_form) -2.302417311933027 y[1] (numeric) -2.302417311935911 absolute error 2.8839153287663066e-12 relative error 1.2525597830677682e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.770000000003385 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.770000000003336 Order of pole (three term test) 1.0000000000001885 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.780000000003398 y[1] (closed_form) -2.2933448121286766 y[1] (numeric) -2.2933448121315725 absolute error 2.8959057374322583e-12 relative error 1.2627432744159768e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.780000000003398 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.78000000000333 Order of pole (three term test) 1.0000000000002023 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.79000000000341 y[1] (closed_form) -2.2842682768117086 y[1] (numeric) -2.284268276814615 absolute error 2.90656387846866e-12 relative error 1.2724266707085416e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.79000000000341 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.79000000000329 Order of pole (three term test) 1.0000000000000464 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.800000000003422 y[1] (closed_form) -2.275187707609998 y[1] (numeric) -2.2751877076129166 absolute error 2.9185542871346115e-12 relative error 1.2827751650436116e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.800000000003422 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.800000000003394 Order of pole (three term test) 0.999999999999989 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.810000000003434 y[1] (closed_form) -2.2661031061501156 y[1] (numeric) -2.266103106153044 absolute error 2.928324249751313e-12 relative error 1.2922290436847093e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.810000000003434 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.810000000003487 Order of pole (three term test) 1.0000000000000004 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.820000000003446 y[1] (closed_form) -2.257014474057314 y[1] (numeric) -2.2570144740602527 absolute error 2.9385383015778643e-12 relative error 1.301958111192531e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.820000000003446 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.82000000000304 Order of pole (three term test) 1.0000000000002631 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.83000000000346 y[1] (closed_form) -2.247921812955539 y[1] (numeric) -2.247921812958489 absolute error 2.949640531824116e-12 relative error 1.3121633122755128e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.83000000000346 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.830000000003178 Order of pole (three term test) 1.0000000000001932 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.84000000000347 y[1] (closed_form) -2.2388251244674287 y[1] (numeric) -2.2388251244703907 absolute error 2.9620750296999176e-12 relative error 1.3230488604618171e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.84000000000347 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.840000000003492 Order of pole (three term test) 0.9999999999999787 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.850000000003483 y[1] (closed_form) -2.2297244102143168 y[1] (numeric) -2.229724410217288 absolute error 2.971400903106769e-12 relative error 1.332631463105866e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.850000000003483 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.85000000000332 Order of pole (three term test) 1.000000000000032 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.860000000003495 y[1] (closed_form) -2.220619671816223 y[1] (numeric) -2.2206196718192084 absolute error 2.985167668612121e-12 relative error 1.3442948860173707e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.860000000003495 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.860000000003392 Order of pole (three term test) 0.9999999999999901 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.870000000003508 y[1] (closed_form) -2.2115109108918745 y[1] (numeric) -2.211510910894873 absolute error 2.9984903449076228e-12 relative error 1.3558560033051654e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.870000000003508 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.87000000000366 Order of pole (three term test) 0.9999999999998727 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.88000000000352 y[1] (closed_form) -2.2023981290586967 y[1] (numeric) -2.202398129061704 absolute error 3.007372129104624e-12 relative error 1.3654988575521413e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.88000000000352 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.880000000003502 Order of pole (three term test) 0.9999999999999628 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.890000000003532 y[1] (closed_form) -2.1932813279328016 y[1] (numeric) -2.193281327935822 absolute error 3.020250716190276e-12 relative error 1.3770466550394174e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.890000000003532 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.8900000000032 Order of pole (three term test) 1.0000000000003517 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.900000000003544 y[1] (closed_form) -2.1841605091290184 y[1] (numeric) -2.18416050913205 absolute error 3.0317970356463775e-12 relative error 1.3880834412006528e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.900000000003544 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.90000000000332 Order of pole (three term test) 1.000000000000246 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.910000000003556 y[1] (closed_form) -2.1750356742608723 y[1] (numeric) -2.175035674263913 absolute error 3.0406788198433787e-12 relative error 1.3979903207227497e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.910000000003556 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.910000000003564 Order of pole (three term test) 1.00000000000004 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.92000000000357 y[1] (closed_form) -2.1659068249405884 y[1] (numeric) -2.165906824943641 absolute error 3.0526692285093304e-12 relative error 1.409418537010735e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.92000000000357 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.920000000003334 Order of pole (three term test) 1.0000000000001523 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.93000000000358 y[1] (closed_form) -2.1567739627791056 y[1] (numeric) -2.156773962782169 absolute error 3.063327369545732e-12 relative error 1.4203284268132062e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.93000000000358 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.930000000003485 Order of pole (three term test) 1.0000000000001343 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.940000000003593 y[1] (closed_form) -2.147637089386066 y[1] (numeric) -2.147637089389142 absolute error 3.0757618674215337e-12 relative error 1.4321609002854321e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.940000000003593 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.940000000003867 Order of pole (three term test) 0.9999999999998553 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.950000000003605 y[1] (closed_form) -2.138496206369826 y[1] (numeric) -2.138496206372911 absolute error 3.085087740828385e-12 relative error 1.4426435415873063e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.950000000003605 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.950000000003545 Order of pole (three term test) 1.0000000000000722 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.960000000003618 y[1] (closed_form) -2.1293513153374484 y[1] (numeric) -2.129351315340542 absolute error 3.093525435815536e-12 relative error 1.4528018056641305e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.960000000003618 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.96000000000324 Order of pole (three term test) 1.0000000000003424 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.97000000000363 y[1] (closed_form) -2.1202024178947028 y[1] (numeric) -2.120202417897809 absolute error 3.106404022901188e-12 relative error 1.465145024212242e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.97000000000363 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.97000000000353 Order of pole (three term test) 1.0000000000002116 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.980000000003642 y[1] (closed_form) -2.1110495156460836 y[1] (numeric) -2.1110495156492024 absolute error 3.1188385207769898e-12 relative error 1.4773876679166732e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.980000000003642 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.98000000000362 Order of pole (three term test) 1.000000000000053 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 22.990000000003654 y[1] (closed_form) -2.1018926101947955 y[1] (numeric) -2.1018926101979263 absolute error 3.1308289294429414e-12 relative error 1.489528491730502e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 24.990000000003654 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 24.99000000000362 Order of pole (three term test) 0.9999999999999976 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.000000000003666 y[1] (closed_form) -2.092731703142764 y[1] (numeric) -2.092731703145904 absolute error 3.1397107136399427e-12 relative error 1.500292994522363e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.000000000003666 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.00000000000335 Order of pole (three term test) 1.0000000000002802 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.01000000000368 y[1] (closed_form) -2.083566796090622 y[1] (numeric) -2.0835667960937747 absolute error 3.1525893007255945e-12 relative error 1.5130733061405902e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.01000000000368 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.01000000000357 Order of pole (three term test) 1.0000000000001001 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.02000000000369 y[1] (closed_form) -2.0743978906377336 y[1] (numeric) -2.074397890640898 absolute error 3.1645797093915462e-12 relative error 1.5255413263164557e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.02000000000369 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.020000000003552 Order of pole (three term test) 1.0000000000000553 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.030000000003703 y[1] (closed_form) -2.0652249883821803 y[1] (numeric) -2.0652249883853577 absolute error 3.177458296477198e-12 relative error 1.5385530943852755e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.030000000003703 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.03000000000345 Order of pole (three term test) 1.0000000000002713 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.040000000003715 y[1] (closed_form) -2.056048090920772 y[1] (numeric) -2.0560480909239573 absolute error 3.185451902254499e-12 relative error 1.5493080713048594e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.040000000003715 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.040000000003563 Order of pole (three term test) 1.0000000000001859 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.050000000003728 y[1] (closed_form) -2.0468671998490287 y[1] (numeric) -2.046867199852228 absolute error 3.199218667759851e-12 relative error 1.562983015212622e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.050000000003728 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.050000000003564 Order of pole (three term test) 1.0000000000000868 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.06000000000374 y[1] (closed_form) -2.0376823167612166 y[1] (numeric) -2.0376823167644242 absolute error 3.2076563627470023e-12 relative error 1.5741690136691155e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.06000000000374 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.06000000000374 Order of pole (three term test) 0.9999999999999774 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.070000000003752 y[1] (closed_form) -2.0284934432503086 y[1] (numeric) -2.02849344325353 absolute error 3.2214231282523542e-12 relative error 1.5880865373124318e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.070000000003752 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.07000000000375 Order of pole (three term test) 1.000000000000058 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.080000000003764 y[1] (closed_form) -2.019300580908027 y[1] (numeric) -2.019300580911258 absolute error 3.2311930908690556e-12 relative error 1.6001545888805085e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.080000000003764 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.080000000003565 Order of pole (three term test) 1.0000000000000555 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.090000000003776 y[1] (closed_form) -2.010103731324808 y[1] (numeric) -2.0101037313280496 absolute error 3.241851231905457e-12 relative error 1.612778077760612e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.090000000003776 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.090000000003645 Order of pole (three term test) 1.0000000000001463 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.10000000000379 y[1] (closed_form) -2.00090289608983 y[1] (numeric) -2.0009028960930824 absolute error 3.2525093729418586e-12 relative error 1.625520848262013e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.10000000000379 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.100000000003703 Order of pole (three term test) 1.0000000000000417 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.1100000000038 y[1] (closed_form) -1.9916980767910033 y[1] (numeric) -1.9916980767942645 absolute error 3.261169112533935e-12 relative error 1.6373812630216955e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.1100000000038 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.11000000000382 Order of pole (three term test) 0.9999999999999919 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.120000000003813 y[1] (closed_form) -1.9824892750149665 y[1] (numeric) -1.982489275018241 absolute error 3.2744917888294367e-12 relative error 1.6517071895910845e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.120000000003813 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.120000000003742 Order of pole (three term test) 0.9999999999999641 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.130000000003825 y[1] (closed_form) -1.9732764923471038 y[1] (numeric) -1.9732764923503923 absolute error 3.2884805989397137e-12 relative error 1.666507765988864e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.130000000003825 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.130000000003697 Order of pole (three term test) 1.0000000000001046 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.140000000003837 y[1] (closed_form) -1.9640597303715381 y[1] (numeric) -1.9640597303748382 absolute error 3.3000269183958153e-12 relative error 1.6802070056044345e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.140000000003837 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.14000000000375 Order of pole (three term test) 1.0000000000001228 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.15000000000385 y[1] (closed_form) -1.9548389906711279 y[1] (numeric) -1.9548389906744381 absolute error 3.3102409702223667e-12 relative error 1.6933573486202602e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.15000000000385 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.15000000000362 Order of pole (three term test) 1.00000000000015 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.160000000003862 y[1] (closed_form) -1.94561427482747 y[1] (numeric) -1.9456142748307919 absolute error 3.3217872896784684e-12 relative error 1.707320578727267e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.160000000003862 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.160000000003897 Order of pole (three term test) 0.9999999999999575 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.170000000003874 y[1] (closed_form) -1.9363855844209112 y[1] (numeric) -1.936385584424243 absolute error 3.3317792969000948e-12 relative error 1.720617692935617e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.170000000003874 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.170000000003768 Order of pole (three term test) 1.0000000000000808 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.180000000003886 y[1] (closed_form) -1.9271529210305367 y[1] (numeric) -1.927152921033879 absolute error 3.3422153933315712e-12 relative error 1.7342761733429727e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.180000000003886 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.180000000003623 Order of pole (three term test) 1.0000000000002005 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.1900000000039 y[1] (closed_form) -1.9179162862341776 y[1] (numeric) -1.9179162862375327 absolute error 3.355093980417223e-12 relative error 1.7493432870341485e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.1900000000039 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.190000000003618 Order of pole (three term test) 1.0000000000002276 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.20000000000391 y[1] (closed_form) -1.9086756816084183 y[1] (numeric) -1.9086756816117845 absolute error 3.3661962106634746e-12 relative error 1.763629223706995e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.20000000000391 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.20000000000385 Order of pole (three term test) 1.0000000000000777 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.210000000003923 y[1] (closed_form) -1.8994311087285851 y[1] (numeric) -1.8994311087319642 absolute error 3.3790747977491264e-12 relative error 1.7789930796758219e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.210000000003923 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.21000000000383 Order of pole (three term test) 1.0000000000000744 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.220000000003935 y[1] (closed_form) -1.8901825691687613 y[1] (numeric) -1.8901825691721508 absolute error 3.389510894180603e-12 relative error 1.7932187871519713e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.220000000003935 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.220000000003694 Order of pole (three term test) 1.0000000000001847 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.230000000003947 y[1] (closed_form) -1.8809300645017757 y[1] (numeric) -1.8809300645051756 absolute error 3.3999469906120794e-12 relative error 1.8075882005281594e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.230000000003947 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.230000000003827 Order of pole (three term test) 1.0000000000000826 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.24000000000396 y[1] (closed_form) -1.8716735962992104 y[1] (numeric) -1.8716735963026232 absolute error 3.4128255776977312e-12 relative error 1.823408517620691e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.24000000000396 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.240000000003764 Order of pole (three term test) 1.0000000000000622 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.250000000003972 y[1] (closed_form) -1.862413166131411 y[1] (numeric) -1.8624131661348324 absolute error 3.4214853172898074e-12 relative error 1.8371247473496378e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.250000000003972 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.250000000003944 Order of pole (three term test) 1.0000000000000138 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.260000000003984 y[1] (closed_form) -1.8531487755674654 y[1] (numeric) -1.8531487755708984 absolute error 3.433031636745909e-12 relative error 1.8525396784155427e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.260000000003984 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.260000000003995 Order of pole (three term test) 1.0000000000000222 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.270000000003996 y[1] (closed_form) -1.8438804261752288 y[1] (numeric) -1.843880426178674 absolute error 3.4452440900167858e-12 relative error 1.8684747888794906e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.270000000003996 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.270000000003794 Order of pole (three term test) 1.0000000000000424 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.28000000000401 y[1] (closed_form) -1.834608119521313 y[1] (numeric) -1.8346081195247712 absolute error 3.4581226771024376e-12 relative error 1.8849380640508299e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.28000000000401 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.28000000000415 Order of pole (three term test) 0.9999999999999716 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.29000000000402 y[1] (closed_form) -1.825331857171097 y[1] (numeric) -1.825331857174563 absolute error 3.4658942382748137e-12 relative error 1.898774858203737e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.29000000000402 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.290000000004024 Order of pole (three term test) 0.999999999999993 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.300000000004033 y[1] (closed_form) -1.8160516406887055 y[1] (numeric) -1.8160516406921836 absolute error 3.4781066915456904e-12 relative error 1.91520252707499e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.300000000004033 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.300000000003788 Order of pole (three term test) 1.0000000000001292 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.310000000004045 y[1] (closed_form) -1.8067674716370412 y[1] (numeric) -1.8067674716405313 absolute error 3.490097100211642e-12 relative error 1.9316802826040485e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.310000000004045 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.310000000003914 Order of pole (three term test) 1.0000000000000753 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.320000000004057 y[1] (closed_form) -1.797479351577767 y[1] (numeric) -1.7974793515812693 absolute error 3.502309553482519e-12 relative error 1.9484560701119093e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.320000000004057 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.320000000004185 Order of pole (three term test) 0.99999999999989 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.33000000000407 y[1] (closed_form) -1.7881872820713163 y[1] (numeric) -1.7881872820748268 absolute error 3.510525203864745e-12 relative error 1.963175355882404e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.33000000000407 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.33000000000391 Order of pole (three term test) 1.000000000000023 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.340000000004082 y[1] (closed_form) -1.7788912646768793 y[1] (numeric) -1.778891264680402 absolute error 3.5227376571356217e-12 relative error 1.9802995984555007e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.340000000004082 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.34000000000387 Order of pole (three term test) 1.000000000000066 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.350000000004094 y[1] (closed_form) -1.7695913009524276 y[1] (numeric) -1.7695913009559614 absolute error 3.5338398873818733e-12 relative error 1.996980820079695e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.350000000004094 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.35000000000404 Order of pole (three term test) 1.0000000000001035 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.360000000004106 y[1] (closed_form) -1.7602873924546998 y[1] (numeric) -1.760287392458243 absolute error 3.5431657607887246e-12 relative error 2.012833686122027e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.360000000004106 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.360000000004 Order of pole (three term test) 1.0000000000001412 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.37000000000412 y[1] (closed_form) -1.7509795407391984 y[1] (numeric) -1.7509795407427569 absolute error 3.5584868385285517e-12 relative error 2.0322835051666515e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.37000000000412 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.370000000004357 Order of pole (three term test) 0.9999999999998606 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.38000000000413 y[1] (closed_form) -1.7416677473602178 y[1] (numeric) -1.7416677473637867 absolute error 3.5689229349600282e-12 relative error 2.0491410835214204e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.38000000000413 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.38000000000405 Order of pole (three term test) 1.000000000000112 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.390000000004143 y[1] (closed_form) -1.7323520138708126 y[1] (numeric) -1.732352013874392 absolute error 3.5793590313915047e-12 relative error 2.066184587619517e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.390000000004143 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.39000000000407 Order of pole (three term test) 1.0000000000001452 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.400000000004155 y[1] (closed_form) -1.7230323418228153 y[1] (numeric) -1.7230323418264077 absolute error 3.5924596630820815e-12 relative error 2.0849635702610074e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.400000000004155 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.40000000000382 Order of pole (three term test) 1.000000000000214 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.410000000004167 y[1] (closed_form) -1.7137087327668468 y[1] (numeric) -1.7137087327704477 absolute error 3.6008973580692327e-12 relative error 2.101230675445908e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.410000000004167 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.410000000004025 Order of pole (three term test) 1.0000000000000735 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.42000000000418 y[1] (closed_form) -1.7043811882522917 y[1] (numeric) -1.704381188255905 absolute error 3.6133318559450345e-12 relative error 2.1200256614250834e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.42000000000418 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.4200000000041 Order of pole (three term test) 1.0000000000000062 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.430000000004192 y[1] (closed_form) -1.6950497098273303 y[1] (numeric) -1.695049709830954 absolute error 3.623767952376511e-12 relative error 2.1378534985535342e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.430000000004192 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.430000000003915 Order of pole (three term test) 1.0000000000002274 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.440000000004204 y[1] (closed_form) -1.6857142990389136 y[1] (numeric) -1.6857142990425515 absolute error 3.637978807091713e-12 relative error 2.1581230040973465e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.440000000004204 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.44000000000393 Order of pole (three term test) 1.0000000000002485 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.450000000004216 y[1] (closed_form) -1.6763749574327882 y[1] (numeric) -1.676374957436438 absolute error 3.64974717115274e-12 relative error 2.177166364225571e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.450000000004216 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.450000000004163 Order of pole (three term test) 0.9999999999999756 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.46000000000423 y[1] (closed_form) -1.6670316865534787 y[1] (numeric) -1.6670316865571382 absolute error 3.659517133769441e-12 relative error 2.1952294988077558e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.46000000000423 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.460000000004143 Order of pole (three term test) 1.0000000000001754 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.47000000000424 y[1] (closed_form) -1.6576844879442945 y[1] (numeric) -1.657684487947966 absolute error 3.671507542435393e-12 relative error 2.214840983997174e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.47000000000424 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.470000000004124 Order of pole (three term test) 1.0000000000001714 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.480000000004253 y[1] (closed_form) -1.6483333631473371 y[1] (numeric) -1.6483333631510206 absolute error 3.683497951101344e-12 relative error 2.23468021302927e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.480000000004253 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.480000000004097 Order of pole (three term test) 1.000000000000225 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.490000000004265 y[1] (closed_form) -1.6389783137035003 y[1] (numeric) -1.6389783137071927 absolute error 3.692379735298346e-12 relative error 2.2528545401890633e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.490000000004265 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.49000000000425 Order of pole (three term test) 1.00000000000002 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.500000000004277 y[1] (closed_form) -1.6296193411524555 y[1] (numeric) -1.6296193411561635 absolute error 3.707922857643098e-12 relative error 2.2753306640438375e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.500000000004277 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.500000000004253 Order of pole (three term test) 0.9999999999999578 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.51000000000429 y[1] (closed_form) -1.6202564470326877 y[1] (numeric) -1.6202564470364063 absolute error 3.718580998679499e-12 relative error 2.2950570605595492e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.51000000000429 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.510000000004172 Order of pole (three term test) 1.0000000000000178 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.520000000004302 y[1] (closed_form) -1.6108896328814595 y[1] (numeric) -1.6108896328851883 absolute error 3.728795050506051e-12 relative error 2.3147427200435907e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.520000000004302 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.520000000004373 Order of pole (three term test) 0.999999999999999 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.530000000004314 y[1] (closed_form) -1.6015189002348293 y[1] (numeric) -1.6015189002385721 absolute error 3.742783860616328e-12 relative error 2.337021348962867e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.530000000004314 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.53000000000412 Order of pole (three term test) 0.9999999999999849 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.540000000004326 y[1] (closed_form) -1.5921442506276655 y[1] (numeric) -1.592144250631417 absolute error 3.751443600208404e-12 relative error 2.3562209257920474e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.540000000004326 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.54000000000415 Order of pole (three term test) 1.0000000000002123 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.55000000000434 y[1] (closed_form) -1.5827656855936176 y[1] (numeric) -1.5827656855973804 absolute error 3.7627678750595805e-12 relative error 2.377337283281038e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.55000000000434 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.55000000000426 Order of pole (three term test) 1.000000000000027 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.56000000000435 y[1] (closed_form) -1.5733832066651452 y[1] (numeric) -1.5733832066689193 absolute error 3.774092149910757e-12 relative error 2.398711346303302e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.56000000000435 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.56000000000427 Order of pole (three term test) 0.9999999999999898 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.570000000004363 y[1] (closed_form) -1.5639968153735069 y[1] (numeric) -1.563996815377291 absolute error 3.7840841571323836e-12 relative error 2.419496075654531e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.570000000004363 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.570000000004153 Order of pole (three term test) 1.0000000000000966 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.580000000004375 y[1] (closed_form) -1.554606513248757 y[1] (numeric) -1.5546065132525553 absolute error 3.7982950118475856e-12 relative error 2.4432517035516945e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.580000000004375 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.580000000004308 Order of pole (three term test) 0.999999999999997 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.590000000004387 y[1] (closed_form) -1.5452123018197668 y[1] (numeric) -1.5452123018235764 absolute error 3.809619286698762e-12 relative error 2.46543422040599e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.590000000004387 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.59000000000438 Order of pole (three term test) 0.9999999999999623 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.6000000000044 y[1] (closed_form) -1.535814182614203 y[1] (numeric) -1.535814182618023 absolute error 3.8198333385253136e-12 relative error 2.4871715483336285e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.6000000000044 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.600000000004293 Order of pole (three term test) 1.0000000000000708 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.610000000004412 y[1] (closed_form) -1.5264121571585392 y[1] (numeric) -1.52641215716237 absolute error 3.830935568771565e-12 relative error 2.5097648435288694e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.610000000004412 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.610000000004128 Order of pole (three term test) 1.000000000000115 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.620000000004424 y[1] (closed_form) -1.517006226978058 y[1] (numeric) -1.517006226981901 absolute error 3.842925977437517e-12 relative error 2.533230193189643e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.620000000004424 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.620000000004033 Order of pole (three term test) 1.0000000000002225 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.630000000004436 y[1] (closed_form) -1.5075963935968524 y[1] (numeric) -1.5075963936007084 absolute error 3.856026609128094e-12 relative error 2.557731383217435e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.630000000004436 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.6300000000041 Order of pole (three term test) 1.0000000000002887 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.64000000000445 y[1] (closed_form) -1.4981826585378286 y[1] (numeric) -1.498182658541695 absolute error 3.86646270555957e-12 relative error 2.58076856218126e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.64000000000445 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.640000000004203 Order of pole (three term test) 1.0000000000001936 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.65000000000446 y[1] (closed_form) -1.4887650233226992 y[1] (numeric) -1.4887650233265768 absolute error 3.877564935805822e-12 relative error 2.604551339573844e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.65000000000446 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.650000000004244 Order of pole (three term test) 1.0000000000001585 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.660000000004473 y[1] (closed_form) -1.4793434894719901 y[1] (numeric) -1.4793434894758821 absolute error 3.891997835125949e-12 relative error 2.6308953010737807e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.660000000004473 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.660000000004256 Order of pole (three term test) 1.000000000000253 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.670000000004485 y[1] (closed_form) -1.4699180585050549 y[1] (numeric) -1.4699180585089549 absolute error 3.89999144090325e-12 relative error 2.6532032981958487e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.670000000004485 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.67000000000446 Order of pole (three term test) 0.9999999999999772 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.680000000004497 y[1] (closed_form) -1.4604887319400426 y[1] (numeric) -1.4604887319439546 absolute error 3.9119818495692016e-12 relative error 2.67854298634178e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.680000000004497 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.680000000004544 Order of pole (three term test) 0.9999999999999782 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.69000000000451 y[1] (closed_form) -1.4510555112939336 y[1] (numeric) -1.4510555112978594 absolute error 3.9257486150745535e-12 relative error 2.705443440667469e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.69000000000451 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.69000000000444 Order of pole (three term test) 1.000000000000058 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.700000000004522 y[1] (closed_form) -1.4416183980825288 y[1] (numeric) -1.4416183980864652 absolute error 3.936406756110955e-12 relative error 2.730546975084877e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.700000000004522 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.70000000000417 Order of pole (three term test) 1.0000000000001246 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.710000000004534 y[1] (closed_form) -1.4321773938204423 y[1] (numeric) -1.4321773938243891 absolute error 3.9468428525424315e-12 relative error 2.755833788169165e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.710000000004534 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.710000000004456 Order of pole (three term test) 1.0000000000001181 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.720000000004546 y[1] (closed_form) -1.4227325000211088 y[1] (numeric) -1.4227325000250701 absolute error 3.9612757518625585e-12 relative error 2.7842730462710215e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.720000000004546 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.7200000000046 Order of pole (three term test) 1.0000000000001246 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.73000000000456 y[1] (closed_form) -1.4132837181967979 y[1] (numeric) -1.4132837182007696 absolute error 3.971711848294035e-12 relative error 2.810272132308666e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.73000000000456 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.7300000000044 Order of pole (three term test) 1.000000000000224 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.74000000000457 y[1] (closed_form) -1.4038310498585922 y[1] (numeric) -1.403831049862574 absolute error 3.9817038555156614e-12 relative error 2.8363127143517295e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.74000000000457 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.740000000004375 Order of pole (three term test) 1.0000000000001878 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.750000000004583 y[1] (closed_form) -1.3943744965164022 y[1] (numeric) -1.394374496520396 absolute error 3.993694264181613e-12 relative error 2.8641475257609423e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.750000000004583 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.750000000004448 Order of pole (three term test) 1.0000000000001488 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.760000000004595 y[1] (closed_form) -1.3849140596789695 y[1] (numeric) -1.3849140596829745 absolute error 4.00501853903279e-12 relative error 2.891889580470556e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.760000000004595 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.760000000004375 Order of pole (three term test) 1.0000000000001397 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.770000000004607 y[1] (closed_form) -1.3754497408538597 y[1] (numeric) -1.3754497408578776 absolute error 4.0178971261184415e-12 relative error 2.921151538131948e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.770000000004607 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.770000000004615 Order of pole (three term test) 0.9999999999999962 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.78000000000462 y[1] (closed_form) -1.3659815415474768 y[1] (numeric) -1.3659815415515038 absolute error 4.027000954920368e-12 relative error 2.9480639616537626e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.78000000000462 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.78000000000451 Order of pole (three term test) 1.0000000000000584 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.790000000004632 y[1] (closed_form) -1.3565094632650414 y[1] (numeric) -1.3565094632690826 absolute error 4.04121180963557e-12 relative error 2.9791254090543547e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.790000000004632 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.790000000004685 Order of pole (three term test) 1.000000000000006 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.800000000004644 y[1] (closed_form) -1.3470335075106235 y[1] (numeric) -1.347033507514676 absolute error 4.052536084486746e-12 relative error 3.0084894413473124e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.800000000004644 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.800000000004694 Order of pole (three term test) 1.0000000000000335 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.810000000004656 y[1] (closed_form) -1.3375536757871167 y[1] (numeric) -1.3375536757911797 absolute error 4.062972180918223e-12 relative error 3.037614306227573e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.810000000004656 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.810000000004653 Order of pole (three term test) 0.9999999999999011 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.82000000000467 y[1] (closed_form) -1.3280699695962532 y[1] (numeric) -1.328069969600326 absolute error 4.072742143534924e-12 relative error 3.066662327116002e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.82000000000467 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.82000000000436 Order of pole (three term test) 1.0000000000002585 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.83000000000468 y[1] (closed_form) -1.3185823904385963 y[1] (numeric) -1.3185823904426826 absolute error 4.086286864435351e-12 relative error 3.099000027655565e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.83000000000468 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.830000000004635 Order of pole (three term test) 1.000000000000073 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.840000000004693 y[1] (closed_form) -1.309090939813558 y[1] (numeric) -1.3090909398176567 absolute error 4.098721362311153e-12 relative error 3.1309676338413105e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.840000000004693 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.840000000004725 Order of pole (three term test) 0.9999999999999957 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.850000000004705 y[1] (closed_form) -1.2995956192193852 y[1] (numeric) -1.2995956192234939 absolute error 4.108713369532779e-12 relative error 3.16153217875628e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.850000000004705 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.85000000000473 Order of pole (three term test) 1.0000000000000506 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.860000000004717 y[1] (closed_form) -1.290096430153163 y[1] (numeric) -1.290096430157281 absolute error 4.118039242939631e-12 relative error 3.192039871353437e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.860000000004717 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.86000000000441 Order of pole (three term test) 1.0000000000003184 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.87000000000473 y[1] (closed_form) -1.2805933741108149 y[1] (numeric) -1.280593374114947 absolute error 4.132028053049908e-12 relative error 3.226651126411612e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.87000000000473 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.870000000004588 Order of pole (three term test) 1.000000000000108 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.880000000004742 y[1] (closed_form) -1.2710864525871202 y[1] (numeric) -1.2710864525912642 absolute error 4.144018461715859e-12 relative error 3.260217629793225e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.880000000004742 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.880000000004816 Order of pole (three term test) 0.9999999999999215 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.890000000004754 y[1] (closed_form) -1.2615756670756966 y[1] (numeric) -1.2615756670798501 absolute error 4.153566379727636e-12 relative error 3.29236405562221e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.890000000004754 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.89000000000458 Order of pole (three term test) 1.0000000000001534 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.900000000004766 y[1] (closed_form) -1.252061019069 y[1] (numeric) -1.2520610190731685 absolute error 4.168443368257613e-12 relative error 3.3292653511065767e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.900000000004766 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.90000000000456 Order of pole (three term test) 1.00000000000011 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.91000000000478 y[1] (closed_form) -1.2425425100583496 y[1] (numeric) -1.2425425100625296 absolute error 4.179989687713714e-12 relative error 3.364061715294894e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.91000000000478 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.910000000004977 Order of pole (three term test) 0.9999999999999162 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.92000000000479 y[1] (closed_form) -1.2330201415339026 y[1] (numeric) -1.2330201415380935 absolute error 4.190869873355041e-12 relative error 3.398865705584916e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.92000000000479 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.92000000000452 Order of pole (three term test) 1.000000000000128 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.930000000004803 y[1] (closed_form) -1.2234939149846689 y[1] (numeric) -1.2234939149888706 absolute error 4.2017500589963674e-12 relative error 3.434222277312281e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.930000000004803 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.930000000004625 Order of pole (three term test) 1.0000000000001121 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.940000000004815 y[1] (closed_form) -1.213963831898507 y[1] (numeric) -1.213963831902722 absolute error 4.214850690686944e-12 relative error 3.4719738594644763e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.940000000004815 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.940000000004694 Order of pole (three term test) 1.0000000000000886 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.950000000004827 y[1] (closed_form) -1.2044298937621356 y[1] (numeric) -1.204429893766362 absolute error 4.226397010143046e-12 relative error 3.509043599824269e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.950000000004827 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.950000000004742 Order of pole (three term test) 1.0000000000002163 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.96000000000484 y[1] (closed_form) -1.1948921020611216 y[1] (numeric) -1.1948921020653598 absolute error 4.2381653742040726e-12 relative error 3.5469021570177555e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.96000000000484 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.96000000000481 Order of pole (three term test) 0.9999999999999593 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.970000000004852 y[1] (closed_form) -1.185350458279892 y[1] (numeric) -1.185350458284139 absolute error 4.247047158401074e-12 relative error 3.5829464009860246e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.970000000004852 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.970000000004983 Order of pole (three term test) 0.9999999999999043 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.980000000004864 y[1] (closed_form) -1.1758049639017187 y[1] (numeric) -1.1758049639059807 absolute error 4.261924146931051e-12 relative error 3.6246863023851716e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.980000000004864 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.98000000000488 Order of pole (three term test) 1.0000000000000389 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 23.990000000004876 y[1] (closed_form) -1.1662556204087515 y[1] (numeric) -1.1662556204130237 absolute error 4.272138198757602e-12 relative error 3.663123353060708e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 25.990000000004876 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 25.990000000004905 Order of pole (three term test) 1.0000000000000822 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.00000000000489 y[1] (closed_form) -1.1567024292819816 y[1] (numeric) -1.1567024292862664 absolute error 4.284794741238329e-12 relative error 3.7043189611852877e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.00000000000489 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.000000000004864 Order of pole (three term test) 1.0000000000000584 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.0100000000049 y[1] (closed_form) -1.1471453920012742 y[1] (numeric) -1.147145392005568 absolute error 4.2938985700402554e-12 relative error 3.743116260572039e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.0100000000049 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.010000000004755 Order of pole (three term test) 1.0000000000000373 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.020000000004913 y[1] (closed_form) -1.1375845100453432 y[1] (numeric) -1.1375845100496502 absolute error 4.306999201730832e-12 relative error 3.786091638641562e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.020000000004913 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.020000000004735 Order of pole (three term test) 1.0000000000001785 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.030000000004925 y[1] (closed_form) -1.1280197848917766 y[1] (numeric) -1.128019784896097 absolute error 4.320543922631259e-12 relative error 3.830202253984204e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.030000000004925 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.030000000005057 Order of pole (three term test) 0.9999999999999282 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.040000000004937 y[1] (closed_form) -1.1184512180170287 y[1] (numeric) -1.1184512180213582 absolute error 4.3294257068282604e-12 relative error 3.8709115221888414e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.040000000004937 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.04000000000507 Order of pole (three term test) 0.9999999999999017 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.05000000000495 y[1] (closed_form) -1.1088788108964067 y[1] (numeric) -1.1088788109007492 absolute error 4.342526338518837e-12 relative error 3.9161415078428466e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.05000000000495 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.05000000000451 Order of pole (three term test) 1.000000000000373 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.060000000004962 y[1] (closed_form) -1.0993025650040984 y[1] (numeric) -1.0993025650084534 absolute error 4.354960836394639e-12 relative error 3.9615670653678527e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.060000000004962 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.060000000004656 Order of pole (three term test) 1.0000000000002678 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.070000000004974 y[1] (closed_form) -1.0897224818131548 y[1] (numeric) -1.089722481817521 absolute error 4.366285111245816e-12 relative error 4.006786300288943e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.070000000004974 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.07000000000483 Order of pole (three term test) 1.000000000000037 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.080000000004986 y[1] (closed_form) -1.0801385627954971 y[1] (numeric) -1.080138562799874 absolute error 4.376943252282217e-12 relative error 4.052205340168847e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.080000000004986 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.08000000000477 Order of pole (three term test) 1.000000000000127 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.090000000005 y[1] (closed_form) -1.070550809421917 y[1] (numeric) -1.070550809426305 absolute error 4.388045482528469e-12 relative error 4.098867091509607e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.090000000005 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.09000000000519 Order of pole (three term test) 0.9999999999999 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.10000000000501 y[1] (closed_form) -1.0609592231620795 y[1] (numeric) -1.060959223166479 absolute error 4.39959180198457e-12 relative error 4.1468057451558234e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.10000000000501 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.100000000004822 Order of pole (three term test) 1.0000000000001932 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.110000000005023 y[1] (closed_form) -1.0513638054845238 y[1] (numeric) -1.0513638054889347 absolute error 4.410916076835747e-12 relative error 4.195423176854528e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.110000000005023 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.11000000000481 Order of pole (three term test) 1.0000000000002707 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.120000000005035 y[1] (closed_form) -1.0417645578566628 y[1] (numeric) -1.0417645578610861 absolute error 4.423350574711549e-12 relative error 4.2460175299226884e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.120000000005035 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.12000000000499 Order of pole (three term test) 0.9999999999999982 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.130000000005047 y[1] (closed_form) -1.0321614817447866 y[1] (numeric) -1.0321614817492235 absolute error 4.436895295611976e-12 relative error 4.298644518405936e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.130000000005047 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.130000000004987 Order of pole (three term test) 0.9999999999999905 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.14000000000506 y[1] (closed_form) -1.0225545786140664 y[1] (numeric) -1.0225545786185148 absolute error 4.448441615068077e-12 relative error 4.350321936944759e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.14000000000506 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.140000000004935 Order of pole (three term test) 1.0000000000001492 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.150000000005072 y[1] (closed_form) -1.0129438499285506 y[1] (numeric) -1.012943849933008 absolute error 4.4573233992650785e-12 relative error 4.400365725681124e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.150000000005072 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.15000000000527 Order of pole (three term test) 0.9999999999998634 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.160000000005084 y[1] (closed_form) -1.0033292971511578 y[1] (numeric) -1.0033292971556294 absolute error 4.4715342539802805e-12 relative error 4.4566965867305036e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.160000000005084 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.160000000004917 Order of pole (three term test) 1.0000000000001006 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.170000000005096 y[1] (closed_form) -0.9937109217437055 y[1] (numeric) -0.9937109217481883 absolute error 4.482858528831457e-12 relative error 4.511230007380014e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.170000000005096 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.170000000004997 Order of pole (three term test) 1.0000000000001674 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.18000000000511 y[1] (closed_form) -0.9840887251668811 y[1] (numeric) -0.9840887251713766 absolute error 4.495515071312184e-12 relative error 4.568200972478206e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.18000000000511 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.180000000004906 Order of pole (three term test) 1.0000000000001423 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.19000000000512 y[1] (closed_form) -0.9744627088802638 y[1] (numeric) -0.9744627088847698 absolute error 4.506062190046123e-12 relative error 4.624150466695592e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.19000000000512 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.190000000004872 Order of pole (three term test) 1.0000000000002223 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.200000000005133 y[1] (closed_form) -0.96483287434231 y[1] (numeric) -0.9648328743468294 absolute error 4.519384866341625e-12 relative error 4.684111607849513e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.200000000005133 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.200000000004938 Order of pole (three term test) 1.0000000000002551 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.210000000005145 y[1] (closed_form) -0.9551992230103714 y[1] (numeric) -0.9551992230149031 absolute error 4.531708341914964e-12 relative error 4.744254635837114e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.210000000005145 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.210000000005223 Order of pole (three term test) 0.9999999999999032 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.220000000005157 y[1] (closed_form) -0.9455617563406875 y[1] (numeric) -0.9455617563452268 absolute error 4.539257858482415e-12 relative error 4.800593750797713e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.220000000005157 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.22000000000501 Order of pole (three term test) 1.0000000000000606 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.23000000000517 y[1] (closed_form) -0.9359204757883717 y[1] (numeric) -0.9359204757929256 absolute error 4.553912802407467e-12 relative error 4.865704854433795e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.23000000000517 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.23000000000516 Order of pole (three term test) 1.0000000000000104 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.240000000005182 y[1] (closed_form) -0.9262753828074501 y[1] (numeric) -0.9262753828120152 absolute error 4.565015032653719e-12 relative error 4.928356207435422e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.240000000005182 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.240000000004656 Order of pole (three term test) 1.0000000000004705 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.250000000005194 y[1] (closed_form) -0.9166264788508265 y[1] (numeric) -0.9166264788554025 absolute error 4.576006240597508e-12 relative error 4.992225673356547e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.250000000005194 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.25000000000506 Order of pole (three term test) 1.0000000000000584 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.260000000005206 y[1] (closed_form) -0.9069737653702994 y[1] (numeric) -0.9069737653748883 absolute error 4.5888848276831595e-12 relative error 5.05955629908392e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.260000000005206 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.26000000000497 Order of pole (three term test) 1.000000000000086 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.27000000000522 y[1] (closed_form) -0.8973172438165662 y[1] (numeric) -0.8973172438211673 absolute error 4.601097280954036e-12 relative error 5.127614912853066e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.27000000000522 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.270000000005282 Order of pole (three term test) 0.9999999999998992 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.28000000000523 y[1] (closed_form) -0.8876569156392158 y[1] (numeric) -0.8876569156438293 absolute error 4.613531778829838e-12 relative error 5.197426728216904e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.28000000000523 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.280000000005067 Order of pole (three term test) 1.0000000000002127 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.290000000005243 y[1] (closed_form) -0.8779927822867393 y[1] (numeric) -0.8779927822913615 absolute error 4.622191518421914e-12 relative error 5.264498309864666e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.290000000005243 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.290000000005133 Order of pole (three term test) 1.0000000000000544 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.300000000005255 y[1] (closed_form) -0.8683248452065122 y[1] (numeric) -0.8683248452111488 absolute error 4.636624417742041e-12 relative error 5.339734827741017e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.300000000005255 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.300000000005237 Order of pole (three term test) 0.9999999999999488 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.310000000005267 y[1] (closed_form) -0.8586531058448266 y[1] (numeric) -0.8586531058494757 absolute error 4.6491699379203055e-12 relative error 5.414491494031224e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.310000000005267 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.31000000000491 Order of pole (three term test) 1.0000000000003777 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.32000000000528 y[1] (closed_form) -0.8489775656468659 y[1] (numeric) -0.8489775656515269 absolute error 4.661049324283795e-12 relative error 5.490191393611652e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.32000000000528 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.320000000005273 Order of pole (three term test) 1.0000000000000417 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.330000000005292 y[1] (closed_form) -0.8392982260567194 y[1] (numeric) -0.8392982260613895 absolute error 4.6700421307832585e-12 relative error 5.564222568090665e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.330000000005292 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.330000000005228 Order of pole (three term test) 1.0000000000000677 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.340000000005304 y[1] (closed_form) -0.8296150885173681 y[1] (numeric) -0.8296150885220533 absolute error 4.685252186220623e-12 relative error 5.647501173820004e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.340000000005304 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.340000000004952 Order of pole (three term test) 1.0000000000002922 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.350000000005316 y[1] (closed_form) -0.8199281544707162 y[1] (numeric) -0.8199281544754127 absolute error 4.696465438769337e-12 relative error 5.727898734982483e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.350000000005316 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.350000000005135 Order of pole (three term test) 1.0000000000000893 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.36000000000533 y[1] (closed_form) -0.8102374253575597 y[1] (numeric) -0.8102374253622671 absolute error 4.707345624410664e-12 relative error 5.809834842340566e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.36000000000533 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.360000000004966 Order of pole (three term test) 1.0000000000003357 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.37000000000534 y[1] (closed_form) -0.8005429026176039 y[1] (numeric) -0.8005429026223236 absolute error 4.7197801222864655e-12 relative error 5.895724147767465e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.37000000000534 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.3700000000052 Order of pole (three term test) 1.0000000000001743 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.380000000005353 y[1] (closed_form) -0.7908445876894667 y[1] (numeric) -0.7908445876941965 absolute error 4.729772129508092e-12 relative error 5.980659415431551e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.380000000005353 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.380000000005033 Order of pole (three term test) 1.0000000000002485 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.390000000005365 y[1] (closed_form) -0.7811424820106687 y[1] (numeric) -0.7811424820154101 absolute error 4.741429471266656e-12 relative error 6.069865076422637e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.390000000005365 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.39000000000512 Order of pole (three term test) 1.0000000000000548 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.400000000005377 y[1] (closed_form) -0.771436587017643 y[1] (numeric) -0.7714365870223989 absolute error 4.7559733928892456e-12 relative error 6.165086635669867e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.400000000005377 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.40000000000531 Order of pole (three term test) 1.0000000000000737 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.41000000000539 y[1] (closed_form) -0.7617269041457426 y[1] (numeric) -0.761726904150509 absolute error 4.766409489320722e-12 relative error 6.25737316534215e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.41000000000539 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.410000000005166 Order of pole (three term test) 1.0000000000002738 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.420000000005402 y[1] (closed_form) -0.7520134348292231 y[1] (numeric) -0.7520134348340002 absolute error 4.7770676303571236e-12 relative error 6.352370062965645e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.420000000005402 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.420000000005405 Order of pole (three term test) 1.0000000000000477 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.430000000005414 y[1] (closed_form) -0.7422961805012562 y[1] (numeric) -0.7422961805060457 absolute error 4.789502128232925e-12 relative error 6.452279095655161e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.430000000005414 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.430000000005208 Order of pole (three term test) 1.000000000000083 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.440000000005426 y[1] (closed_form) -0.7325751425939337 y[1] (numeric) -0.7325751425987352 absolute error 4.801492536898877e-12 relative error 6.5542662557421e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.440000000005426 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.440000000005288 Order of pole (three term test) 0.9999999999999934 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.45000000000544 y[1] (closed_form) -0.7228503225382603 y[1] (numeric) -0.7228503225430742 absolute error 4.813927034774679e-12 relative error 6.659645689678555e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.45000000000544 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.450000000005144 Order of pole (three term test) 1.000000000000147 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.46000000000545 y[1] (closed_form) -0.7131217217641606 y[1] (numeric) -0.7131217217689867 absolute error 4.8261394880455555e-12 relative error 6.767623732041678e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.46000000000545 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.460000000005447 Order of pole (three term test) 1.0000000000001419 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.470000000005463 y[1] (closed_form) -0.7033893417004791 y[1] (numeric) -0.7033893417053156 absolute error 4.836575584477032e-12 relative error 6.876100187677521e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.470000000005463 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.470000000005133 Order of pole (three term test) 1.0000000000002327 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.480000000005475 y[1] (closed_form) -0.6936531837749733 y[1] (numeric) -0.6936531837798245 absolute error 4.851230528402084e-12 relative error 6.993740736546323e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.480000000005475 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.48000000000565 Order of pole (three term test) 0.9999999999998176 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.490000000005487 y[1] (closed_form) -0.6839132494143385 y[1] (numeric) -0.6839132494191983 absolute error 4.859779245691698e-12 relative error 7.105841639788841e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.490000000005487 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.490000000005278 Order of pole (three term test) 1.0000000000001505 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.5000000000055 y[1] (closed_form) -0.6741695400441721 y[1] (numeric) -0.674169540049045 absolute error 4.8728798773822746e-12 relative error 7.227973956021508e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.5000000000055 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.500000000005425 Order of pole (three term test) 1.0000000000000773 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.510000000005512 y[1] (closed_form) -0.6644220570890091 y[1] (numeric) -0.6644220570938962 absolute error 4.8870907320974766e-12 relative error 7.355401103793847e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.510000000005512 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.510000000005338 Order of pole (three term test) 1.0000000000001765 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.520000000005524 y[1] (closed_form) -0.654670801972312 y[1] (numeric) -0.6546708019772095 absolute error 4.897526828528953e-12 relative error 7.480900039797535e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.520000000005524 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.52000000000542 Order of pole (three term test) 0.9999999999999911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.530000000005536 y[1] (closed_form) -0.6449157761164592 y[1] (numeric) -0.6449157761213687 absolute error 4.909517237194905e-12 relative error 7.612648688420892e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.530000000005536 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.53000000000542 Order of pole (three term test) 1.0000000000000107 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.54000000000555 y[1] (closed_form) -0.6351569809427637 y[1] (numeric) -0.6351569809476854 absolute error 4.921618668163319e-12 relative error 7.748665000671422e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.54000000000555 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.54000000000542 Order of pole (three term test) 1.0000000000001978 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.55000000000556 y[1] (closed_form) -0.6253944178714654 y[1] (numeric) -0.6253944178763995 absolute error 4.934053166039121e-12 relative error 7.889506246045827e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.55000000000556 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.550000000005568 Order of pole (three term test) 1.0000000000000289 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.560000000005573 y[1] (closed_form) -0.6156280883217384 y[1] (numeric) -0.6156280883266817 absolute error 4.9432680171435095e-12 relative error 8.029633655311822e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.560000000005573 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.56000000000555 Order of pole (three term test) 1.000000000000044 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.570000000005585 y[1] (closed_form) -0.6058579937116768 y[1] (numeric) -0.6058579937166342 absolute error 4.957367849556249e-12 relative error 8.182392410448945e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.570000000005585 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.57000000000544 Order of pole (three term test) 1.0000000000001594 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.580000000005597 y[1] (closed_form) -0.5960841354583231 y[1] (numeric) -0.5960841354632911 absolute error 4.9680259905926505e-12 relative error 8.334437531662851e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.580000000005597 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.580000000005448 Order of pole (three term test) 1.0000000000001392 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.59000000000561 y[1] (closed_form) -0.5863065149776396 y[1] (numeric) -0.5863065149826207 absolute error 4.981015599980765e-12 relative error 8.495582895187049e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.59000000000561 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.590000000005507 Order of pole (three term test) 1.0000000000000617 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.600000000005622 y[1] (closed_form) -0.5765251336845338 y[1] (numeric) -0.5765251336895262 absolute error 4.9923398748319414e-12 relative error 8.659362069657274e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.600000000005622 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.600000000005252 Order of pole (three term test) 1.000000000000284 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.610000000005634 y[1] (closed_form) -0.5667399929928436 y[1] (numeric) -0.5667399929978469 absolute error 5.0033310827757305e-12 relative error 8.828265420892767e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.610000000005634 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.61000000000545 Order of pole (three term test) 1.0000000000001952 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.620000000005646 y[1] (closed_form) -0.5569510943153411 y[1] (numeric) -0.5569510943203596 absolute error 5.018541138213095e-12 relative error 9.010739343967675e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.620000000005646 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.62000000000563 Order of pole (three term test) 1.000000000000079 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.63000000000566 y[1] (closed_form) -0.5471584390637503 y[1] (numeric) -0.5471584390687796 absolute error 5.029310301551959e-12 relative error 9.191689175365138e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.63000000000566 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.630000000005555 Order of pole (three term test) 1.0000000000001523 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.64000000000567 y[1] (closed_form) -0.5373620286487188 y[1] (numeric) -0.5373620286537615 absolute error 5.042632977847461e-12 relative error 9.384051549991266e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.64000000000567 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.640000000005386 Order of pole (three term test) 1.0000000000002116 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.650000000005683 y[1] (closed_form) -0.5275618644798463 y[1] (numeric) -0.5275618644849015 absolute error 5.055178498025725e-12 relative error 9.582152991687368e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.650000000005683 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.65000000000564 Order of pole (three term test) 0.9999999999999445 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.660000000005695 y[1] (closed_form) -0.5177579479656735 y[1] (numeric) -0.5177579479707376 absolute error 5.0640602822227265e-12 relative error 9.78074851795122e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.660000000005695 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.660000000005436 Order of pole (three term test) 1.000000000000089 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.670000000005707 y[1] (closed_form) -0.507950280513672 y[1] (numeric) -0.5079502805187514 absolute error 5.079381359962554e-12 relative error 9.999760911296194e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 26.670000000005707 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.670000000005896 Order of pole (three term test) 0.9999999999998458 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.68000000000572 y[1] (closed_form) -0.49813886353027925 y[1] (numeric) -0.49813886353536846 absolute error 5.089206833730486e-12 relative error 1.021644205325317e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 26.68000000000572 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.68000000000586 Order of pole (three term test) 0.9999999999998871 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.690000000005732 y[1] (closed_form) -0.4883236984208601 y[1] (numeric) -0.48832369842596096 absolute error 5.1008641754890505e-12 relative error 1.0445661744421195e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 26.690000000005732 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.69000000000576 Order of pole (three term test) 0.9999999999999933 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.700000000005744 y[1] (closed_form) -0.4785047865897347 y[1] (numeric) -0.4785047865948472 absolute error 5.112466006096383e-12 relative error 1.0684252591353408e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 26.700000000005744 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.700000000005687 Order of pole (three term test) 1.0000000000001918 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.710000000005756 y[1] (closed_form) -0.4686821294401682 y[1] (numeric) -0.4686821294452938 absolute error 5.1256221489381915e-12 relative error 1.0936244048947736e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 26.710000000005756 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.71000000000586 Order of pole (three term test) 0.9999999999999157 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.72000000000577 y[1] (closed_form) -0.4588557283743775 y[1] (numeric) -0.45885572837951677 absolute error 5.139277892141081e-12 relative error 1.1200204278474162e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 26.72000000000577 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.720000000005538 Order of pole (three term test) 1.0000000000002205 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.73000000000578 y[1] (closed_form) -0.44902558479353516 y[1] (numeric) -0.44902558479868226 absolute error 5.147104964464688e-12 relative error 1.1462832272311076e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 26.73000000000578 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.730000000005745 Order of pole (three term test) 1.0000000000000453 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.740000000005793 y[1] (closed_form) -0.4391917000977479 y[1] (numeric) -0.43919170010290826 absolute error 5.160372129608959e-12 relative error 1.1749703212652812e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 26.740000000005793 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.740000000005995 Order of pole (three term test) 0.9999999999999946 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.750000000005805 y[1] (closed_form) -0.4293540756860921 y[1] (numeric) -0.4293540756912654 absolute error 5.173306227845842e-12 relative error 1.20490441824247e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 26.750000000005805 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.7500000000058 Order of pole (three term test) 1.0000000000000255 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.760000000005817 y[1] (closed_form) -0.41951271295659254 y[1] (numeric) -0.41951271296177844 absolute error 5.1859072591753375e-12 relative error 1.2361740416939235e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 26.760000000005817 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.760000000005956 Order of pole (three term test) 0.9999999999999665 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.77000000000583 y[1] (closed_form) -0.4096676133062296 y[1] (numeric) -0.4096676133114272 absolute error 5.197620112085133e-12 relative error 1.26874078967035e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 26.77000000000583 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.770000000005776 Order of pole (three term test) 1.0000000000000204 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.780000000005842 y[1] (closed_form) -0.399818778130939 y[1] (numeric) -0.3998187781361479 absolute error 5.208888875785078e-12 relative error 1.3028124642207747e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 26.780000000005842 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.78000000000571 Order of pole (three term test) 1.000000000000081 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.790000000005854 y[1] (closed_form) -0.38996620882561217 y[1] (numeric) -0.38996620883083405 absolute error 5.2218784851731925e-12 relative error 1.3390592228231622e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 26.790000000005854 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.790000000005595 Order of pole (three term test) 1.0000000000001923 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.800000000005866 y[1] (closed_form) -0.38010990678410295 y[1] (numeric) -0.38010990678933804 absolute error 5.235090139166232e-12 relative error 1.377256957982863e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 26.800000000005866 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.80000000000581 Order of pole (three term test) 1.0000000000000102 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.81000000000588 y[1] (closed_form) -0.3702498733992279 y[1] (numeric) -0.3702498734044719 absolute error 5.244027434514464e-12 relative error 1.4163482046245044e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 26.81000000000588 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.81000000000587 Order of pole (three term test) 1.00000000000002 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.82000000000589 y[1] (closed_form) -0.3603861100627519 y[1] (numeric) -0.3603861100680085 absolute error 5.25662846584396e-12 relative error 1.4586101736630899e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 26.82000000000589 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.820000000005763 Order of pole (three term test) 1.0000000000001745 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.830000000005903 y[1] (closed_form) -0.3505186181654132 y[1] (numeric) -0.3505186181706832 absolute error 5.270006653290693e-12 relative error 1.5034883684277579e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 26.830000000005903 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.83000000000572 Order of pole (three term test) 1.0000000000000815 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.840000000005915 y[1] (closed_form) -0.34064739909691255 y[1] (numeric) -0.3406473991021945 absolute error 5.2819415508054135e-12 relative error 1.5505597767099718e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 26.840000000005915 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.84000000000591 Order of pole (three term test) 0.9999999999999384 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.850000000005927 y[1] (closed_form) -0.33077245424590984 y[1] (numeric) -0.3307724542512053 absolute error 5.295430760554609e-12 relative error 1.600928581742713e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 26.850000000005927 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.85000000000576 Order of pole (three term test) 1.0000000000002196 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.86000000000594 y[1] (closed_form) -0.3208937850000382 y[1] (numeric) -0.32089378500534416 absolute error 5.305977879288548e-12 relative error 1.6534997333425816e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 26.86000000000594 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.86000000000571 Order of pole (three term test) 1.000000000000126 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.870000000005952 y[1] (closed_form) -0.31101139274588974 y[1] (numeric) -0.3110113927512063 absolute error 5.316580509173718e-12 relative error 1.7094487961467069e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 26.870000000005952 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.870000000005877 Order of pole (three term test) 1.0000000000000766 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.880000000005964 y[1] (closed_form) -0.3011252788690264 y[1] (numeric) -0.3011252788743551 absolute error 5.3286819401421326e-12 relative error 1.769589707033473e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 26.880000000005964 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.880000000005783 Order of pole (three term test) 1.0000000000001474 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.890000000005976 y[1] (closed_form) -0.2912354447539798 y[1] (numeric) -0.2912354447593228 absolute error 5.343003817159797e-12 relative error 1.83459943265947e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 26.890000000005976 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.890000000005898 Order of pole (three term test) 1.0000000000000273 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.90000000000599 y[1] (closed_form) -0.2813418917842583 y[1] (numeric) -0.28134189178961205 absolute error 5.353772980498661e-12 relative error 1.9029419851218248e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 26.90000000000599 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.900000000005836 Order of pole (three term test) 1.000000000000191 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.910000000006 y[1] (closed_form) -0.27144462134233294 y[1] (numeric) -0.27144462134769676 absolute error 5.363820498871519e-12 relative error 1.976027549319876e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 26.910000000006 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.910000000006033 Order of pole (three term test) 1.0000000000000095 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.920000000006013 y[1] (closed_form) -0.2615436348096445 y[1] (numeric) -0.2615436348150233 absolute error 5.3788085097039584e-12 relative error 2.0565625745848254e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 26.920000000006013 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.920000000005754 Order of pole (three term test) 1.0000000000002043 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.930000000006025 y[1] (closed_form) -0.25163893356662115 y[1] (numeric) -0.2516389335720118 absolute error 5.390632384916216e-12 relative error 2.1422091997099693e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 26.930000000006025 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.93000000000601 Order of pole (three term test) 1.0000000000000129 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.940000000006037 y[1] (closed_form) -0.24173051899265374 y[1] (numeric) -0.24173051899805714 absolute error 5.403399949699406e-12 relative error 2.235299031424169e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 26.940000000006037 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.940000000006037 Order of pole (three term test) 0.9999999999999851 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.95000000000605 y[1] (closed_form) -0.23181839246611702 y[1] (numeric) -0.23181839247153027 absolute error 5.413253179042954e-12 relative error 2.3351267004554715e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 26.95000000000605 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.9500000000061 Order of pole (three term test) 0.9999999999999082 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.960000000006062 y[1] (closed_form) -0.22190255536435188 y[1] (numeric) -0.22190255536977907 absolute error 5.427186478002e-12 relative error 2.445752131646639e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 26.960000000006062 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.960000000005707 Order of pole (three term test) 1.0000000000002442 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.970000000006074 y[1] (closed_form) -0.21198300906369028 y[1] (numeric) -0.21198300906912973 absolute error 5.4394544424241076e-12 relative error 2.565986050697971e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 26.970000000006074 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.970000000006184 Order of pole (three term test) 0.9999999999999922 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.980000000006086 y[1] (closed_form) -0.2020597549394374 y[1] (numeric) -0.20205975494488787 absolute error 5.450473405943512e-12 relative error 2.6974562092174973e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 26.980000000006086 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.98000000000576 Order of pole (three term test) 1.0000000000002156 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 24.9900000000061 y[1] (closed_form) -0.19213279436587882 y[1] (numeric) -0.19213279437133945 absolute error 5.4606319466188324e-12 relative error 2.842113427143594e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 26.9900000000061 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 26.990000000005764 Order of pole (three term test) 1.0000000000001608 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.00000000000611 y[1] (closed_form) -0.18220212871627695 y[1] (numeric) -0.18220212872175226 absolute error 5.4753146461195e-12 relative error 3.005077209962567e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.00000000000611 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.000000000006114 Order of pole (three term test) 1.000000000000058 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.010000000006123 y[1] (closed_form) -0.17226775936288874 y[1] (numeric) -0.17226775936837666 absolute error 5.487915677448996e-12 relative error 3.1856893580931113e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.010000000006123 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.01000000000616 Order of pole (three term test) 0.9999999999999601 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.020000000006135 y[1] (closed_form) -0.162329687676948 y[1] (numeric) -0.16232968768244704 absolute error 5.499045663270863e-12 relative error 3.3875785396781537e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.020000000006135 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.020000000006238 Order of pole (three term test) 0.9999999999999726 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.030000000006147 y[1] (closed_form) -0.15238791502867244 y[1] (numeric) -0.15238791503418275 absolute error 5.510314426970808e-12 relative error 3.615978620046097e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.030000000006147 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.0300000000062 Order of pole (three term test) 0.999999999999926 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.04000000000616 y[1] (closed_form) -0.14244244278726725 y[1] (numeric) -0.14244244279278928 absolute error 5.522027279880604e-12 relative error 3.876672690967225e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.04000000000616 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.040000000005584 Order of pole (three term test) 1.0000000000004368 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.05000000000617 y[1] (closed_form) -0.13249327232092512 y[1] (numeric) -0.13249327232645944 absolute error 5.534322999878327e-12 relative error 4.1770596370154506e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.05000000000617 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.05000000000613 Order of pole (three term test) 0.9999999999999714 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.060000000006184 y[1] (closed_form) -0.12254040499682617 y[1] (numeric) -0.1225404050023744 absolute error 5.548228543261757e-12 relative error 4.52767276508141e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.060000000006184 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.060000000005964 Order of pole (three term test) 1.0000000000001321 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.070000000006196 y[1] (closed_form) -0.11258384218114514 y[1] (numeric) -0.11258384218670489 absolute error 5.559747107142243e-12 relative error 4.938317079458633e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.070000000006196 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.0700000000061 Order of pole (three term test) 1.0000000000000977 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.08000000000621 y[1] (closed_form) -0.1026235852390407 y[1] (numeric) -0.1026235852446122 absolute error 5.571501593415462e-12 relative error 5.429065434069358e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.08000000000621 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.080000000006184 Order of pole (three term test) 1.0000000000000433 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.09000000000622 y[1] (closed_form) -0.09265963553466605 y[1] (numeric) -0.09265963554024947 absolute error 5.583422613142375e-12 relative error 6.025733406919663e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.09000000000622 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.090000000006256 Order of pole (three term test) 0.9999999999998971 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.100000000006233 y[1] (closed_form) -0.08269199443116548 y[1] (numeric) -0.08269199443676267 absolute error 5.597189378647727e-12 relative error 6.768719774085196e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.100000000006233 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.10000000000624 Order of pole (three term test) 1.000000000000042 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.110000000006245 y[1] (closed_form) -0.07272066329068139 y[1] (numeric) -0.07272066329629179 absolute error 5.610401032640766e-12 relative error 7.715002557408875e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.110000000006245 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.110000000005922 Order of pole (three term test) 1.0000000000002354 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.120000000006257 y[1] (closed_form) -0.06274564347435074 y[1] (numeric) -0.06274564347997183 absolute error 5.621086929252783e-12 relative error 8.958529418142918e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.120000000006257 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.120000000006318 Order of pole (three term test) 1.0000000000000147 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.13000000000627 y[1] (closed_form) -0.05276693634230156 y[1] (numeric) -0.05276693634793409 absolute error 5.632529165300326e-12 relative error 1.0674353213841806e-08% Desired digits 8 Estimated correct digits 10 Correct digits 10 h 0.001 Radius of convergence (given) for eq 1 27.13000000000627 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.130000000006103 Order of pole (three term test) 1.0000000000001532 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.14000000000628 y[1] (closed_form) -0.04278454325366354 y[1] (numeric) -0.04278454325930718 absolute error 5.643638334440482e-12 relative error 1.3190834598794577e-08% Desired digits 8 Estimated correct digits 10 Correct digits 10 h 0.001 Radius of convergence (given) for eq 1 27.14000000000628 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.140000000006378 Order of pole (three term test) 0.9999999999999283 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.150000000006294 y[1] (closed_form) -0.032798465566560964 y[1] (numeric) -0.03279846557221811 absolute error 5.657148360871389e-12 relative error 1.7248210436524277e-08% Desired digits 8 Estimated correct digits 10 Correct digits 10 h 0.001 Radius of convergence (given) for eq 1 27.150000000006294 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.15000000000616 Order of pole (three term test) 1.0000000000001468 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.160000000006306 y[1] (closed_form) -0.022808704638123345 y[1] (numeric) -0.02280870464379346 absolute error 5.67011368413084e-12 relative error 2.485942877551053e-08% Desired digits 8 Estimated correct digits 10 Correct digits 10 h 0.001 Radius of convergence (given) for eq 1 27.160000000006306 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.160000000006196 Order of pole (three term test) 0.9999999999999886 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.17000000000632 y[1] (closed_form) -0.012815261824478341 y[1] (numeric) -0.01281526183016043 absolute error 5.682088480285508e-12 relative error 4.4338450186262996e-08% Desired digits 8 Estimated correct digits 9 Correct digits 10 h 0.001 Radius of convergence (given) for eq 1 27.17000000000632 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.17000000000603 Order of pole (three term test) 1.0000000000001508 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.18000000000633 y[1] (closed_form) -0.0028181384807552945 y[1] (numeric) -0.00281813848644798 absolute error 5.692685472319381e-12 relative error 2.0200162309957435e-07% Desired digits 8 Estimated correct digits 9 Correct digits 9 h 0.001 Radius of convergence (given) for eq 1 27.18000000000633 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.18000000000625 Order of pole (three term test) 1.0000000000001448 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.190000000006343 y[1] (closed_form) 0.007182664038921871 y[1] (numeric) 0.007182664033212084 absolute error 5.709786810026429e-12 relative error 7.94939980359081e-08% Desired digits 8 Estimated correct digits 9 Correct digits 10 h 0.001 Radius of convergence (given) for eq 1 27.190000000006343 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.19000000000627 Order of pole (three term test) 1.0000000000001192 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.200000000006355 y[1] (closed_form) 0.017187144381406227 y[1] (numeric) 0.01718714437568401 absolute error 5.722217838455279e-12 relative error 3.3293592649665604e-08% Desired digits 8 Estimated correct digits 9 Correct digits 10 h 0.001 Radius of convergence (given) for eq 1 27.200000000006355 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.200000000006135 Order of pole (three term test) 1.0000000000002929 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.210000000006367 y[1] (closed_form) 0.027195301194559818 y[1] (numeric) 0.02719530118882699 absolute error 5.732827407234353e-12 relative error 2.1080212961131517e-08% Desired digits 8 Estimated correct digits 10 Correct digits 10 h 0.001 Radius of convergence (given) for eq 1 27.210000000006367 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.210000000006104 Order of pole (three term test) 1.000000000000115 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.22000000000638 y[1] (closed_form) 0.037207133127239445 y[1] (numeric) 0.03720713312149409 absolute error 5.745355580177858e-12 relative error 1.544154332055126e-08% Desired digits 8 Estimated correct digits 10 Correct digits 10 h 0.001 Radius of convergence (given) for eq 1 27.22000000000638 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.22000000000618 Order of pole (three term test) 1.0000000000002391 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.23000000000639 y[1] (closed_form) 0.047222638829289565 y[1] (numeric) 0.04722263882353112 absolute error 5.758442334080627e-12 relative error 1.2194240891317972e-08% Desired digits 8 Estimated correct digits 10 Correct digits 10 h 0.001 Radius of convergence (given) for eq 1 27.23000000000639 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.23000000000632 Order of pole (three term test) 1.0000000000000913 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.240000000006404 y[1] (closed_form) 0.05724181695154584 y[1] (numeric) 0.05724181694577557 absolute error 5.770273148186789e-12 relative error 1.0080520597505177e-08% Desired digits 8 Estimated correct digits 10 Correct digits 10 h 0.001 Radius of convergence (given) for eq 1 27.240000000006404 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.240000000006333 Order of pole (three term test) 1.0000000000001852 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.250000000006416 y[1] (closed_form) 0.0672646661458387 y[1] (numeric) 0.06726466614005548 absolute error 5.7832211242114795e-12 relative error 8.597710292165414e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.250000000006416 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.250000000006263 Order of pole (three term test) 1.0000000000000278 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.26000000000643 y[1] (closed_form) 0.07729118506497912 y[1] (numeric) 0.07729118505918842 absolute error 5.7907012518398915e-12 relative error 7.492059084061938e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.26000000000643 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.260000000006304 Order of pole (three term test) 1.0000000000001434 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.27000000000644 y[1] (closed_form) 0.08732137236278703 y[1] (numeric) 0.08732137235698031 absolute error 5.806716218970109e-12 relative error 6.649822445352114e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.27000000000644 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.270000000006366 Order of pole (three term test) 1.0000000000000806 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.280000000006453 y[1] (closed_form) 0.09735522669404162 y[1] (numeric) 0.09735522668822437 absolute error 5.8172494599162405e-12 relative error 5.975282126555071e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.280000000006453 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.280000000006602 Order of pole (three term test) 0.999999999999845 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.290000000006465 y[1] (closed_form) 0.10739274671453103 y[1] (numeric) 0.1073927467087001 absolute error 5.8309329586947456e-12 relative error 5.429540762370479e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.290000000006465 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.290000000006202 Order of pole (three term test) 1.000000000000155 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.300000000006477 y[1] (closed_form) 0.11743393108101685 y[1] (numeric) 0.11743393107517208 absolute error 5.844769113139137e-12 relative error 4.977070135808424e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.300000000006477 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.300000000006147 Order of pole (three term test) 1.0000000000002263 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.31000000000649 y[1] (closed_form) 0.12747877845124123 y[1] (numeric) 0.127478778445389 absolute error 5.852235362979741e-12 relative error 4.5907526210083156e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.31000000000649 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.310000000006692 Order of pole (three term test) 0.9999999999998501 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.3200000000065 y[1] (closed_form) 0.13752728748394816 y[1] (numeric) 0.13752728747808246 absolute error 5.865696817153321e-12 relative error 4.265114890627033e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.3200000000065 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.32000000000639 Order of pole (three term test) 1.0000000000001135 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.330000000006514 y[1] (closed_form) 0.14757945683884444 y[1] (numeric) 0.14757945683296603 absolute error 5.878408870785279e-12 relative error 3.983216225822306e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.330000000006514 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.330000000006258 Order of pole (three term test) 1.000000000000248 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.340000000006526 y[1] (closed_form) 0.15763528517662806 y[1] (numeric) 0.15763528517073397 absolute error 5.894090771008109e-12 relative error 3.739068168908925e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.340000000006526 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.34000000000624 Order of pole (three term test) 1.0000000000001568 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.35000000000654 y[1] (closed_form) 0.16769477115896692 y[1] (numeric) 0.16769477115306047 absolute error 5.906442002157064e-12 relative error 3.522138443158749e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.35000000000654 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.350000000006457 Order of pole (three term test) 1.0000000000000744 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.36000000000655 y[1] (closed_form) 0.177757913448513 y[1] (numeric) 0.1777579134425982 absolute error 5.914796430417368e-12 relative error 3.327444790316224e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.36000000000655 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.360000000006465 Order of pole (three term test) 0.9999999999999415 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.370000000006563 y[1] (closed_form) 0.1878247107089024 y[1] (numeric) 0.1878247107029776 absolute error 5.924788437638995e-12 relative error 3.154424364758612e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.370000000006563 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.370000000006335 Order of pole (three term test) 1.0000000000001346 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.380000000006575 y[1] (closed_form) 0.19789516160474463 y[1] (numeric) 0.19789516159880546 absolute error 5.9391658258078905e-12 relative error 3.0011677787606385e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.380000000006575 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.38000000000661 Order of pole (three term test) 1.0000000000000253 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.390000000006587 y[1] (closed_form) 0.2079692648016156 y[1] (numeric) 0.20796926479566416 absolute error 5.9514337902299985e-12 relative error 2.8616891038717396e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.390000000006587 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.39000000000653 Order of pole (three term test) 1.000000000000046 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.4000000000066 y[1] (closed_form) 0.21804701896607526 y[1] (numeric) 0.2180470189601103 absolute error 5.96495075555481e-12 relative error 2.735625914006586e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.4000000000066 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.40000000000639 Order of pole (three term test) 1.000000000000253 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.41000000000661 y[1] (closed_form) 0.22812842276564993 y[1] (numeric) 0.228128422759674 absolute error 5.975941963498599e-12 relative error 2.6195516941953e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.41000000000661 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.410000000006505 Order of pole (three term test) 1.0000000000001763 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.420000000006624 y[1] (closed_form) 0.23821347486885003 y[1] (numeric) 0.23821347486285746 absolute error 5.9925675532923606e-12 relative error 2.515629124923184e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.420000000006624 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.420000000006844 Order of pole (three term test) 0.9999999999999263 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.430000000006636 y[1] (closed_form) 0.24830217394513454 y[1] (numeric) 0.24830217393913417 absolute error 6.000366870040352e-12 relative error 2.4165583308047106e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.430000000006636 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.4300000000065 Order of pole (three term test) 0.9999999999999494 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.44000000000665 y[1] (closed_form) 0.25839451866496077 y[1] (numeric) 0.2583945186589477 absolute error 6.01307892367231e-12 relative error 2.327092290788483e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.44000000000665 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.44000000000655 Order of pole (three term test) 0.999999999999983 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.45000000000666 y[1] (closed_form) 0.2684905076997346 y[1] (numeric) 0.26849050769371063 absolute error 6.023959109313637e-12 relative error 2.2436395092412392e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.45000000000666 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.45000000000649 Order of pole (three term test) 1.0000000000001839 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.460000000006673 y[1] (closed_form) 0.278590139721846 y[1] (numeric) 0.27859013971580376 absolute error 6.042222278068721e-12 relative error 2.1688571907467667e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.460000000006673 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.46000000000651 Order of pole (three term test) 1.0000000000001703 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.470000000006685 y[1] (closed_form) 0.2886934134046264 y[1] (numeric) 0.2886934133985746 absolute error 6.051770196080497e-12 relative error 2.0962619564854663e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.470000000006685 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.470000000006284 Order of pole (three term test) 1.0000000000002667 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.480000000006697 y[1] (closed_form) 0.2988003274223985 y[1] (numeric) 0.2988003274163367 absolute error 6.0617622033021235e-12 relative error 2.028699986908959e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.480000000006697 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.48000000000663 Order of pole (three term test) 1.000000000000095 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.49000000000671 y[1] (closed_form) 0.3089108804504441 y[1] (numeric) 0.30891088044436843 absolute error 6.075695502261169e-12 relative error 1.966811752762409e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.49000000000671 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.490000000006763 Order of pole (three term test) 0.9999999999999464 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.50000000000672 y[1] (closed_form) 0.31902507116499734 y[1] (numeric) 0.31902507115891177 absolute error 6.085576487180333e-12 relative error 1.907554307552499e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.50000000000672 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.500000000006533 Order of pole (three term test) 1.0000000000000593 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.510000000006734 y[1] (closed_form) 0.32914289824326914 y[1] (numeric) 0.32914289823717163 absolute error 6.0975113846950535e-12 relative error 1.8525422900628376e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.510000000006734 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.51000000000664 Order of pole (three term test) 1.000000000000133 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.520000000006746 y[1] (closed_form) 0.3392643603634262 y[1] (numeric) 0.33926436035731444 absolute error 6.111777750561487e-12 relative error 1.8014794551406573e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.520000000006746 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.5200000000068 Order of pole (three term test) 0.9999999999998875 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.53000000000676 y[1] (closed_form) 0.34938945620459094 y[1] (numeric) 0.3493894561984675 absolute error 6.123435092320051e-12 relative error 1.7526101556809342e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.53000000000676 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.530000000006478 Order of pole (three term test) 1.0000000000002596 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.54000000000677 y[1] (closed_form) 0.35951818444685557 y[1] (numeric) 0.3595181844407176 absolute error 6.1379790139426404e-12 relative error 1.707279152899139e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.54000000000677 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.540000000006735 Order of pole (three term test) 1.000000000000018 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.550000000006783 y[1] (closed_form) 0.36965054377126094 y[1] (numeric) 0.3696505437651098 absolute error 6.1511351567844486e-12 relative error 1.664040608199608e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.550000000006783 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.55000000000658 Order of pole (three term test) 1.0000000000001807 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.560000000006795 y[1] (closed_form) 0.3797865328598071 y[1] (numeric) 0.3797865328536471 absolute error 6.16001694098145e-12 relative error 1.6219682395255794e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.560000000006795 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.560000000006724 Order of pole (three term test) 1.0000000000001041 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.570000000006807 y[1] (closed_form) 0.3899261503954641 y[1] (numeric) 0.3899261503892887 absolute error 6.175393529872508e-12 relative error 1.5837341310936466e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.570000000006807 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.570000000006758 Order of pole (three term test) 1.0000000000000162 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.58000000000682 y[1] (closed_form) 0.4000693950621361 y[1] (numeric) 0.40006939505594924 absolute error 6.1868843381773786e-12 relative error 1.546452794075006e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.58000000000682 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.58000000000653 Order of pole (three term test) 1.000000000000167 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.59000000000683 y[1] (closed_form) 0.4102162655446975 y[1] (numeric) 0.4102162655384978 absolute error 6.199651902960568e-12 relative error 1.5113130374604926e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.59000000000683 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.590000000006615 Order of pole (three term test) 1.0000000000002032 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.600000000006844 y[1] (closed_form) 0.4203667605289674 y[1] (numeric) 0.42036676052275673 absolute error 6.210643110904357e-12 relative error 1.4774343963564606e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.600000000006844 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.600000000006933 Order of pole (three term test) 0.9999999999999326 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.610000000006856 y[1] (closed_form) 0.4305208787017243 y[1] (numeric) 0.4305208786955008 absolute error 6.2234661868387775e-12 relative error 1.445566636769445e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.610000000006856 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.610000000006576 Order of pole (three term test) 1.0000000000001972 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.62000000000687 y[1] (closed_form) 0.4406786187506917 y[1] (numeric) 0.44067861874445596 absolute error 6.2357341512608855e-12 relative error 1.4150298848033453e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.62000000000687 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.620000000006844 Order of pole (three term test) 1.0000000000000644 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.63000000000688 y[1] (closed_form) 0.45083997936454523 y[1] (numeric) 0.4508399793582983 absolute error 6.2469474038095996e-12 relative error 1.3856240994009923e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.63000000000688 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.630000000006774 Order of pole (three term test) 1.0000000000001164 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.640000000006893 y[1] (closed_form) 0.4610049592329126 y[1] (numeric) 0.46100495922665313 absolute error 6.259492923987864e-12 relative error 1.3577929691696423e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.640000000006893 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.640000000006694 Order of pole (three term test) 1.0000000000001232 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.650000000006905 y[1] (closed_form) 0.4711735570463702 y[1] (numeric) 0.4711735570400942 absolute error 6.2759797359035474e-12 relative error 1.3319889543983687e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.650000000006905 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.650000000006894 Order of pole (three term test) 1.0000000000000113 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.660000000006917 y[1] (closed_form) 0.4813457714964251 y[1] (numeric) 0.4813457714901421 absolute error 6.282974140958686e-12 relative error 1.3052933074338535e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.660000000006917 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.66000000000683 Order of pole (three term test) 1.0000000000001634 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.67000000000693 y[1] (closed_form) 0.49152160127556144 y[1] (numeric) 0.49152160126926375 absolute error 6.297684596034969e-12 relative error 1.2812630370042073e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.67000000000693 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.670000000006574 Order of pole (three term test) 1.000000000000265 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.68000000000694 y[1] (closed_form) 0.5017010450771835 y[1] (numeric) 0.501701045070871 absolute error 6.312506073413715e-12 relative error 1.2582206346495803e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.68000000000694 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.68000000000689 Order of pole (three term test) 0.9999999999999586 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.690000000006954 y[1] (closed_form) 0.5118841015956441 y[1] (numeric) 0.5118841015893197 absolute error 6.324385459777204e-12 relative error 1.2355112104601103e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.690000000006954 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.690000000006922 Order of pole (three term test) 1.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.700000000006966 y[1] (closed_form) 0.5220707695262483 y[1] (numeric) 0.5220707695199094 absolute error 6.338929381399794e-12 relative error 1.214189675310119e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.700000000006966 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.700000000006895 Order of pole (three term test) 0.999999999999957 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.71000000000698 y[1] (closed_form) 0.5322610475652283 y[1] (numeric) 0.5322610475588804 absolute error 6.3479221878992576e-12 relative error 1.1926332420787045e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.71000000000698 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.71000000000685 Order of pole (three term test) 1.000000000000008 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.72000000000699 y[1] (closed_form) 0.5424549344097755 y[1] (numeric) 0.542454934403415 absolute error 6.360578730379984e-12 relative error 1.172554313161643e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.72000000000699 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.720000000006845 Order of pole (three term test) 1.0000000000002254 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.730000000007003 y[1] (closed_form) 0.5526524287580088 y[1] (numeric) 0.5526524287516356 absolute error 6.373235272860711e-12 relative error 1.1532085884763884e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.730000000007003 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.730000000007042 Order of pole (three term test) 1.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.740000000007015 y[1] (closed_form) 0.5628535293089847 y[1] (numeric) 0.5628535293026028 absolute error 6.381895012452787e-12 relative error 1.1338464947155683e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.740000000007015 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.740000000006713 Order of pole (three term test) 1.0000000000002194 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.750000000007027 y[1] (closed_form) 0.5730582347627156 y[1] (numeric) 0.5730582347563158 absolute error 6.399769603149252e-12 relative error 1.1167747385742019e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.750000000007027 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.750000000007 Order of pole (three term test) 1.0000000000000147 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.76000000000704 y[1] (closed_form) 0.5832665438201232 y[1] (numeric) 0.5832665438137106 absolute error 6.412648190234904e-12 relative error 1.0994369998037356e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.76000000000704 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.760000000006837 Order of pole (three term test) 1.000000000000044 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.77000000000705 y[1] (closed_form) 0.5934784551830816 y[1] (numeric) 0.5934784551766588 absolute error 6.422862242061456e-12 relative error 1.0822401699620373e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.77000000000705 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.770000000007016 Order of pole (three term test) 1.0000000000001112 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.780000000007064 y[1] (closed_form) 0.6036939675544062 y[1] (numeric) 0.6036939675479668 absolute error 6.4394045651283705e-12 relative error 1.0666670384689636e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.780000000007064 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.780000000007057 Order of pole (three term test) 0.9999999999999969 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.790000000007076 y[1] (closed_form) 0.6139130796378254 y[1] (numeric) 0.6139130796313756 absolute error 6.4497296392573844e-12 relative error 1.0505932929564502e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.790000000007076 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.790000000006877 Order of pole (three term test) 1.000000000000128 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.80000000000709 y[1] (closed_form) 0.6241357901380162 y[1] (numeric) 0.6241357901315588 absolute error 6.457390178127298e-12 relative error 1.034613024947562e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.80000000000709 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.800000000007206 Order of pole (three term test) 0.9999999999998722 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.8100000000071 y[1] (closed_form) 0.6343620977605937 y[1] (numeric) 0.634362097754122 absolute error 6.4717120551449625e-12 relative error 1.020192107629256e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.8100000000071 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.81000000000699 Order of pole (three term test) 1.0000000000002356 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.820000000007113 y[1] (closed_form) 0.6445920012120858 y[1] (numeric) 0.644592001205601 absolute error 6.484812686835539e-12 relative error 1.0060336886963456e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.001 Radius of convergence (given) for eq 1 27.820000000007113 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.820000000007013 Order of pole (three term test) 1.000000000000044 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.830000000007125 y[1] (closed_form) 0.6548254991999585 y[1] (numeric) 0.6548254991934624 absolute error 6.4960259393842534e-12 relative error 9.920239739168462e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 27.830000000007125 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.830000000007086 Order of pole (three term test) 1.0000000000000278 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.840000000007137 y[1] (closed_form) 0.665062590432612 y[1] (numeric) 0.6650625904261012 absolute error 6.510791905611768e-12 relative error 9.789743099783448e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 27.840000000007137 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.84000000000721 Order of pole (three term test) 0.9999999999999968 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.85000000000715 y[1] (closed_form) 0.6753032736193632 y[1] (numeric) 0.6753032736128401 absolute error 6.523004358882645e-12 relative error 9.659370261781607e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 27.85000000000715 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.850000000006947 Order of pole (three term test) 1.0000000000002642 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.86000000000716 y[1] (closed_form) 0.6855475474704633 y[1] (numeric) 0.685547547463929 absolute error 6.534328633733821e-12 relative error 9.531546947902037e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 27.86000000000716 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.860000000006956 Order of pole (three term test) 1.0000000000001892 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.870000000007174 y[1] (closed_form) 0.6957954106970945 y[1] (numeric) 0.6957954106905436 absolute error 6.550870956800736e-12 relative error 9.41493843748931e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 27.870000000007174 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.87000000000699 Order of pole (three term test) 0.9999999999999478 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.880000000007186 y[1] (closed_form) 0.7060468620113447 y[1] (numeric) 0.7060468620047847 absolute error 6.5599747856026625e-12 relative error 9.291132272601556e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 27.880000000007186 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.880000000007296 Order of pole (three term test) 0.9999999999999952 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.8900000000072 y[1] (closed_form) 0.716301900126247 y[1] (numeric) 0.7163019001196764 absolute error 6.5705219043366014e-12 relative error 9.17283885911591e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 27.8900000000072 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.890000000006978 Order of pole (three term test) 1.0000000000001723 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.90000000000721 y[1] (closed_form) 0.7265605237557509 y[1] (numeric) 0.7265605237491664 absolute error 6.5845107144468784e-12 relative error 9.062577031311992e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 27.90000000000721 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.900000000006692 Order of pole (three term test) 1.0000000000002813 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.910000000007223 y[1] (closed_form) 0.7368227316147227 y[1] (numeric) 0.7368227316081237 absolute error 6.5989436137670054e-12 relative error 8.955944667051244e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 27.910000000007223 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.910000000006995 Order of pole (three term test) 1.000000000000107 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.920000000007235 y[1] (closed_form) 0.7470885224189523 y[1] (numeric) 0.7470885224123388 absolute error 6.613487535389595e-12 relative error 8.85234793057212e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 27.920000000007235 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.920000000007217 Order of pole (three term test) 1.0000000000000429 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.930000000007247 y[1] (closed_form) 0.7573578948851463 y[1] (numeric) 0.7573578948785216 absolute error 6.624700787938309e-12 relative error 8.747120526079613e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 27.930000000007247 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.93000000000735 Order of pole (three term test) 0.9999999999997958 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.94000000000726 y[1] (closed_form) 0.7676308477309384 y[1] (numeric) 0.7676308477243009 absolute error 6.637468352721498e-12 relative error 8.646693097784407e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 27.94000000000726 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.94000000000726 Order of pole (three term test) 1.0000000000000897 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.95000000000727 y[1] (closed_form) 0.7779073796748683 y[1] (numeric) 0.7779073796682241 absolute error 6.644240713171712e-12 relative error 8.541171978531322e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 27.95000000000727 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.950000000007286 Order of pole (three term test) 0.9999999999999343 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.960000000007284 y[1] (closed_form) 0.7881874894364138 y[1] (numeric) 0.7881874894297548 absolute error 6.6590066793992264e-12 relative error 8.448505931197522e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 27.960000000007284 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.96000000000724 Order of pole (three term test) 1.0000000000001383 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.970000000007296 y[1] (closed_form) 0.7984711757359477 y[1] (numeric) 0.798471175729273 absolute error 6.674771846348904e-12 relative error 8.359439951225281e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 27.970000000007296 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.970000000006998 Order of pole (three term test) 1.0000000000001477 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.98000000000731 y[1] (closed_form) 0.8087584372947596 y[1] (numeric) 0.8087584372880736 absolute error 6.685985098897618e-12 relative error 8.26697415517762e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 27.98000000000731 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.980000000007145 Order of pole (three term test) 1.000000000000022 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 25.99000000000732 y[1] (closed_form) 0.8190492728350627 y[1] (numeric) 0.8190492728283657 absolute error 6.696976306841407e-12 relative error 8.176524330044818e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 27.99000000000732 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 27.99000000000739 Order of pole (three term test) 0.9999999999999599 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.000000000007333 y[1] (closed_form) 0.8293436810799797 y[1] (numeric) 0.8293436810732713 absolute error 6.708411603995046e-12 relative error 8.088819818653811e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.000000000007333 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.000000000007336 Order of pole (three term test) 0.9999999999999757 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.010000000007345 y[1] (closed_form) 0.83964166075355 y[1] (numeric) 0.8396416607468241 absolute error 6.725842105481661e-12 relative error 8.010372066871295e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.010000000007345 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.010000000007356 Order of pole (three term test) 0.9999999999998823 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.020000000007357 y[1] (closed_form) 0.8499432105807045 y[1] (numeric) 0.8499432105739693 absolute error 6.735279001190975e-12 relative error 7.924387085331556e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.020000000007357 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.02000000000735 Order of pole (three term test) 1.0000000000000377 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.03000000000737 y[1] (closed_form) 0.860248329287316 y[1] (numeric) 0.8602483292805622 absolute error 6.753819725702215e-12 relative error 7.851011732039637e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.03000000000737 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.030000000007192 Order of pole (three term test) 1.0000000000001532 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.04000000000738 y[1] (closed_form) 0.8705570156001272 y[1] (numeric) 0.870557015593367 absolute error 6.760259019245041e-12 relative error 7.765440859246638e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.04000000000738 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.04000000000729 Order of pole (three term test) 1.0000000000001095 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.050000000007394 y[1] (closed_form) 0.8808692682468298 y[1] (numeric) 0.8808692682400563 absolute error 6.77347067323808e-12 relative error 7.689530010189974e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.050000000007394 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.05000000000724 Order of pole (three term test) 1.0000000000000488 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.060000000007406 y[1] (closed_form) 0.8911850859559962 y[1] (numeric) 0.8911850859492098 absolute error 6.786460282626194e-12 relative error 7.61509633584834e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.060000000007406 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.060000000007488 Order of pole (three term test) 0.9999999999998985 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.07000000000742 y[1] (closed_form) 0.9015044674571122 y[1] (numeric) 0.9015044674503131 absolute error 6.799116825106921e-12 relative error 7.541966868212308e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.07000000000742 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.07000000000737 Order of pole (three term test) 1.0000000000000824 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.08000000000743 y[1] (closed_form) 0.9118274114805729 y[1] (numeric) 0.9118274114737576 absolute error 6.8153260812664485e-12 relative error 7.474359725817098e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.08000000000743 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.08000000000714 Order of pole (three term test) 1.0000000000001648 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.090000000007443 y[1] (closed_form) 0.9221539167576616 y[1] (numeric) 0.9221539167508386 absolute error 6.822986620136362e-12 relative error 7.398967239792591e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.090000000007443 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.09000000000721 Order of pole (three term test) 1.0000000000002718 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.100000000007455 y[1] (closed_form) 0.9324839820205959 y[1] (numeric) 0.932483982013755 absolute error 6.840861210832827e-12 relative error 7.336170210676854e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.100000000007455 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.100000000007476 Order of pole (three term test) 1.0000000000000402 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.110000000007467 y[1] (closed_form) 0.9428176060024605 y[1] (numeric) 0.9428176059956078 absolute error 6.852629574893854e-12 relative error 7.268245237749591e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.110000000007467 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.110000000007233 Order of pole (three term test) 1.0000000000000846 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.12000000000748 y[1] (closed_form) 0.9531547874372635 y[1] (numeric) 0.9531547874303993 absolute error 6.864175894349955e-12 relative error 7.201533250234821e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.12000000000748 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.120000000007433 Order of pole (three term test) 1.0000000000000204 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.13000000000749 y[1] (closed_form) 0.9634955250599084 y[1] (numeric) 0.9634955250530324 absolute error 6.8760552807134445e-12 relative error 7.136572098023915e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.13000000000749 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.13000000000728 Order of pole (three term test) 1.0000000000001308 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.140000000007504 y[1] (closed_form) 0.9738398176061978 y[1] (numeric) 0.9738398175993097 absolute error 6.888045689379396e-12 relative error 7.073078718747554e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.140000000007504 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.14000000000744 Order of pole (three term test) 1.0000000000000644 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.150000000007516 y[1] (closed_form) 0.9841876638128326 y[1] (numeric) 0.9841876638059318 absolute error 6.9008132541625855e-12 relative error 7.011684364573527e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.150000000007516 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.15000000000729 Order of pole (three term test) 1.0000000000001423 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.16000000000753 y[1] (closed_form) 0.994539062417406 y[1] (numeric) 0.994539062410497 absolute error 6.908917882242349e-12 relative error 6.946854219530586e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.16000000000753 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.160000000007578 Order of pole (three term test) 0.9999999999999236 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.17000000000754 y[1] (closed_form) 1.0048940121584273 y[1] (numeric) 1.0048940121515006 absolute error 6.926681450636352e-12 relative error 6.892947282826799e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.17000000000754 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.170000000007157 Order of pole (three term test) 1.0000000000002736 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.180000000007553 y[1] (closed_form) 1.015252511775273 y[1] (numeric) 1.015252511768333 absolute error 6.9400041269318535e-12 relative error 6.835741893212896e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.180000000007553 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.18000000000739 Order of pole (three term test) 1.000000000000031 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.190000000007565 y[1] (closed_form) 1.0256145600082327 y[1] (numeric) 1.0256145600012796 absolute error 6.95310475862243e-12 relative error 6.779452076583836e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.190000000007565 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.190000000007434 Order of pole (three term test) 1.0000000000001776 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.200000000007577 y[1] (closed_form) 1.0359801555984838 y[1] (numeric) 1.0359801555915193 absolute error 6.964429033473607e-12 relative error 6.722550616281129e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.200000000007577 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.200000000007442 Order of pole (three term test) 1.0000000000002394 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.21000000000759 y[1] (closed_form) 1.0463492972881028 y[1] (numeric) 1.0463492972811246 absolute error 6.978195798978959e-12 relative error 6.669088245258864e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.21000000000759 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.210000000007486 Order of pole (three term test) 1.0000000000001388 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.2200000000076 y[1] (closed_form) 1.0567219838200472 y[1] (numeric) 1.0567219838130584 absolute error 6.9888539400153604e-12 relative error 6.61371112461451e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.2200000000076 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.220000000007236 Order of pole (three term test) 1.0000000000002598 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.230000000007614 y[1] (closed_form) 1.067098213938177 y[1] (numeric) 1.0670982139311753 absolute error 7.001732527101012e-12 relative error 6.561469633859458e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.230000000007614 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.230000000007802 Order of pole (three term test) 1.0000000000000056 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.240000000007626 y[1] (closed_form) 1.0774779863872332 y[1] (numeric) 1.0774779863802202 absolute error 7.013056801952189e-12 relative error 6.508770379121023e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.240000000007626 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.240000000007456 Order of pole (three term test) 1.0000000000000613 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.25000000000764 y[1] (closed_form) 1.0878612999128556 y[1] (numeric) 1.0878612999058264 absolute error 7.029266058111716e-12 relative error 6.46154620876283e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.25000000000764 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.250000000007383 Order of pole (three term test) 1.0000000000001295 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.26000000000765 y[1] (closed_form) 1.098248153261558 y[1] (numeric) 1.0982481532545154 absolute error 7.042588734407218e-12 relative error 6.412565970170096e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.26000000000765 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.2600000000073 Order of pole (three term test) 1.000000000000393 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.270000000007663 y[1] (closed_form) 1.1086385451807494 y[1] (numeric) 1.108638545173696 absolute error 7.0534689200485445e-12 relative error 6.362280069288558e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.270000000007663 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.270000000007418 Order of pole (three term test) 1.0000000000002909 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.280000000007675 y[1] (closed_form) 1.1190324744187308 y[1] (numeric) 1.1190324744116626 absolute error 7.068123863973597e-12 relative error 6.316281274719088e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.280000000007675 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.28000000000766 Order of pole (three term test) 1.0000000000000118 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.290000000007687 y[1] (closed_form) 1.1294299397246732 y[1] (numeric) 1.1294299397175953 absolute error 7.077893826590298e-12 relative error 6.266784310955765e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.290000000007687 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.290000000007375 Order of pole (three term test) 1.0000000000002243 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.3000000000077 y[1] (closed_form) 1.1398309398486504 y[1] (numeric) 1.1398309398415585 absolute error 7.091882636700575e-12 relative error 6.221872374899959e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.3000000000077 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.30000000000754 Order of pole (three term test) 1.0000000000000442 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.31000000000771 y[1] (closed_form) 1.1502354735416063 y[1] (numeric) 1.1502354735345 absolute error 7.106315536020702e-12 relative error 6.178139780492218e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.31000000000771 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.31000000000753 Order of pole (three term test) 1.000000000000152 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.320000000007724 y[1] (closed_form) 1.160643539555366 y[1] (numeric) 1.1606435395482497 absolute error 7.116307543242328e-12 relative error 6.131346361492292e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.320000000007724 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.32000000000764 Order of pole (three term test) 1.0000000000000333 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.330000000007736 y[1] (closed_form) 1.1710551366426536 y[1] (numeric) 1.1710551366355195 absolute error 7.134071111636331e-12 relative error 6.092002748981823e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.330000000007736 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.33000000000739 Order of pole (three term test) 1.0000000000002478 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.34000000000775 y[1] (closed_form) 1.181470263557042 y[1] (numeric) 1.1814702635499008 absolute error 7.141176538993932e-12 relative error 6.044313394307577e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.34000000000775 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.34000000000767 Order of pole (three term test) 1.0000000000000648 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.35000000000776 y[1] (closed_form) 1.1918889190530173 y[1] (numeric) 1.1918889190458652 absolute error 7.1520567246352584e-12 relative error 6.000606776609458e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.35000000000776 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.350000000007945 Order of pole (three term test) 0.9999999999998294 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.360000000007773 y[1] (closed_form) 1.2023111018859325 y[1] (numeric) 1.2023111018787636 absolute error 7.168932114609561e-12 relative error 5.962626564259824e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.360000000007773 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.360000000007563 Order of pole (three term test) 1.0000000000000209 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.370000000007785 y[1] (closed_form) 1.2127368108120038 y[1] (numeric) 1.2127368108048233 absolute error 7.1804784340656624e-12 relative error 5.920887673276677e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.370000000007785 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.37000000000777 Order of pole (three term test) 0.9999999999999767 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.380000000007797 y[1] (closed_form) 1.2231660445883428 y[1] (numeric) 1.2231660445811505 absolute error 7.192246798126689e-12 relative error 5.880024899274607e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.380000000007797 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.380000000007715 Order of pole (three term test) 1.0000000000000786 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.39000000000781 y[1] (closed_form) 1.2335988019729314 y[1] (numeric) 1.2335988019657251 absolute error 7.206235608236966e-12 relative error 5.841636354308888e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.39000000000781 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.390000000007877 Order of pole (three term test) 0.9999999999999816 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.40000000000782 y[1] (closed_form) 1.2440350817246255 y[1] (numeric) 1.2440350817174033 absolute error 7.222222819791568e-12 relative error 5.805481634633074e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.40000000000782 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.400000000007733 Order of pole (three term test) 1.0000000000000755 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.410000000007834 y[1] (closed_form) 1.254474882603148 y[1] (numeric) 1.2544748825959149 absolute error 7.233103005432895e-12 relative error 5.765841234241021e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.410000000007834 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.410000000007635 Order of pole (three term test) 1.0000000000002196 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.420000000007846 y[1] (closed_form) 1.2649182033691062 y[1] (numeric) 1.264918203361863 absolute error 7.243317057259446e-12 relative error 5.726312608963087e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.420000000007846 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.420000000007775 Order of pole (three term test) 1.000000000000066 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.43000000000786 y[1] (closed_form) 1.275365042783978 y[1] (numeric) 1.2753650427767222 absolute error 7.255751555135248e-12 relative error 5.689156681993385e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.43000000000786 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.43000000000779 Order of pole (three term test) 1.0000000000001144 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.44000000000787 y[1] (closed_form) 1.2858153996101116 y[1] (numeric) 1.2858153996028394 absolute error 7.2721828558997e-12 relative error 5.655697433787767e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.44000000000787 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.440000000007817 Order of pole (three term test) 1.0000000000000504 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.450000000007883 y[1] (closed_form) 1.296269272610715 y[1] (numeric) 1.2962692726034315 absolute error 7.283507130750877e-12 relative error 5.618822635579205e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.450000000007883 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.450000000007954 Order of pole (three term test) 0.9999999999999668 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.460000000007895 y[1] (closed_form) 1.3067266605498808 y[1] (numeric) 1.3067266605425845 absolute error 7.296385717836529e-12 relative error 5.583712292795919e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.460000000007895 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.46000000000783 Order of pole (three term test) 0.9999999999999826 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.470000000007907 y[1] (closed_form) 1.317187562192558 y[1] (numeric) 1.3171875621852533 absolute error 7.304601368218755e-12 relative error 5.545604572867128e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.470000000007907 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.470000000007843 Order of pole (three term test) 1.0000000000000941 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.48000000000792 y[1] (closed_form) 1.3276519763045798 y[1] (numeric) 1.32765197629726 absolute error 7.319700401353657e-12 relative error 5.513267431520342e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.48000000000792 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.480000000007863 Order of pole (three term test) 1.000000000000021 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.49000000000793 y[1] (closed_form) 1.3381199016526288 y[1] (numeric) 1.338119901645294 absolute error 7.33479943448856e-12 relative error 5.481421676360843e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.49000000000793 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.490000000007566 Order of pole (three term test) 1.0000000000003348 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.500000000007944 y[1] (closed_form) 1.3485913370042546 y[1] (numeric) 1.34859133699691 absolute error 7.34456939710526e-12 relative error 5.446104535581849e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.500000000007944 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.500000000007997 Order of pole (three term test) 1.0000000000000404 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.510000000007956 y[1] (closed_form) 1.359066281127891 y[1] (numeric) 1.3590662811205283 absolute error 7.362777054709113e-12 relative error 5.417526103729638e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.510000000007956 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.510000000007853 Order of pole (three term test) 1.0000000000001072 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.52000000000797 y[1] (closed_form) 1.3695447327928072 y[1] (numeric) 1.3695447327854318 absolute error 7.37543359718984e-12 relative error 5.385317777937553e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.52000000000797 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.520000000007954 Order of pole (three term test) 1.0000000000000804 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.53000000000798 y[1] (closed_form) 1.3800266907691565 y[1] (numeric) 1.380026690761767 absolute error 7.389422407300117e-12 relative error 5.35455035524105e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.53000000000798 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.530000000007547 Order of pole (three term test) 1.0000000000002205 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.540000000007993 y[1] (closed_form) 1.3905121538279452 y[1] (numeric) 1.390512153820544 absolute error 7.401190771361144e-12 relative error 5.322636519922808e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.540000000007993 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.540000000008042 Order of pole (three term test) 1.000000000000036 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.550000000008005 y[1] (closed_form) 1.4010011207410429 y[1] (numeric) 1.4010011207336326 absolute error 7.41029460016307e-12 relative error 5.289285276405405e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.550000000008005 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.55000000000783 Order of pole (three term test) 1.0000000000001017 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.560000000008017 y[1] (closed_form) 1.4114935902811894 y[1] (numeric) 1.4114935902737629 absolute error 7.426503856322597e-12 relative error 5.261450641687386e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.560000000008017 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.56000000000798 Order of pole (three term test) 1.0000000000001534 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.57000000000803 y[1] (closed_form) 1.421989561221963 y[1] (numeric) 1.4219895612145248 absolute error 7.438272220383624e-12 relative error 5.230890875170468e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.57000000000803 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.570000000007948 Order of pole (three term test) 1.0000000000000075 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.58000000000804 y[1] (closed_form) 1.4324890323378163 y[1] (numeric) 1.4324890323303672 absolute error 7.44915240602495e-12 relative error 5.200146205564983e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.58000000000804 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.58000000000802 Order of pole (three term test) 1.0000000000000724 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.590000000008054 y[1] (closed_form) 1.4429920024040577 y[1] (numeric) 1.4429920023965959 absolute error 7.461808948505677e-12 relative error 5.17106743216465e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.590000000008054 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.590000000007684 Order of pole (three term test) 1.0000000000002158 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.600000000008066 y[1] (closed_form) 1.4534984701968447 y[1] (numeric) 1.4534984701893732 absolute error 7.471578911122378e-12 relative error 5.140410577873203e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.600000000008066 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.60000000000781 Order of pole (three term test) 1.000000000000171 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.61000000000808 y[1] (closed_form) 1.4640084344932056 y[1] (numeric) 1.4640084344857187 absolute error 7.486899988862206e-12 relative error 5.11397326167314e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.61000000000808 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.61000000000813 Order of pole (three term test) 1.0000000000000422 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.62000000000809 y[1] (closed_form) 1.4745218940710068 y[1] (numeric) 1.4745218940635056 absolute error 7.501110843577408e-12 relative error 5.087147823127668e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.62000000000809 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.620000000008186 Order of pole (three term test) 0.9999999999999792 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.630000000008103 y[1] (closed_form) 1.4850388477089744 y[1] (numeric) 1.4850388477014613 absolute error 7.51310125224336e-12 relative error 5.059195093673209e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.630000000008103 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.63000000000796 Order of pole (three term test) 1.0000000000001434 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.640000000008115 y[1] (closed_form) 1.4955592941866946 y[1] (numeric) 1.4955592941791669 absolute error 7.527756196168411e-12 relative error 5.033405379130826e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.640000000008115 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.64000000000811 Order of pole (three term test) 1.0000000000000753 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.650000000008127 y[1] (closed_form) 1.5060832322845954 y[1] (numeric) 1.506083232277055 absolute error 7.540412738649138e-12 relative error 5.006637466649833e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.650000000008127 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.650000000007864 Order of pole (three term test) 1.0000000000001872 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.66000000000814 y[1] (closed_form) 1.516610660783961 y[1] (numeric) 1.5166106607764098 absolute error 7.55107087968554e-12 relative error 4.978911908599052e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.66000000000814 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.66000000000813 Order of pole (three term test) 0.9999999999999776 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.67000000000815 y[1] (closed_form) 1.5271415784669315 y[1] (numeric) 1.527141578459367 absolute error 7.564615600585967e-12 relative error 4.953447478117871e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.67000000000815 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.67000000000802 Order of pole (three term test) 1.000000000000168 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.680000000008164 y[1] (closed_form) 1.5376759841164862 y[1] (numeric) 1.53767598410891 absolute error 7.576161920042068e-12 relative error 4.927021035836206e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.680000000008164 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.680000000007855 Order of pole (three term test) 1.0000000000002536 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.690000000008176 y[1] (closed_form) 1.5482138765164635 y[1] (numeric) 1.5482138765088724 absolute error 7.591038908572045e-12 relative error 4.903094477910348e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.690000000008176 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.690000000008215 Order of pole (three term test) 0.9999999999999005 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.70000000000819 y[1] (closed_form) 1.5587552544515404 y[1] (numeric) 1.5587552544439351 absolute error 7.605249763287247e-12 relative error 4.879053168589453e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.70000000000819 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.700000000007922 Order of pole (three term test) 1.0000000000003055 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.7100000000082 y[1] (closed_form) 1.5693001167072431 y[1] (numeric) 1.5693001166996257 absolute error 7.617462216558124e-12 relative error 4.854050627703599e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.7100000000082 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.71000000000809 Order of pole (three term test) 1.0000000000000648 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.720000000008213 y[1] (closed_form) 1.579848462069947 y[1] (numeric) 1.5798484620623183 absolute error 7.628564446804376e-12 relative error 4.828668464068565e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.720000000008213 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.720000000008056 Order of pole (three term test) 1.000000000000021 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.730000000008225 y[1] (closed_form) 1.5904002893268725 y[1] (numeric) 1.5904002893192313 absolute error 7.641220989285102e-12 relative error 4.804589788221935e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.730000000008225 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.730000000008125 Order of pole (three term test) 1.0000000000000833 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.740000000008237 y[1] (closed_form) 1.6009555972660863 y[1] (numeric) 1.600955597258429 absolute error 7.657208200839705e-12 relative error 4.782898547539817e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.740000000008237 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.740000000008386 Order of pole (three term test) 0.9999999999998037 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.75000000000825 y[1] (closed_form) 1.611514384676486 y[1] (numeric) 1.6115143846688167 absolute error 7.669198609505656e-12 relative error 4.759001025637919e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.75000000000825 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.750000000008466 Order of pole (three term test) 0.9999999999998631 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.76000000000826 y[1] (closed_form) 1.6220766503478252 y[1] (numeric) 1.6220766503401443 absolute error 7.680966973566683e-12 relative error 4.735267579321629e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.76000000000826 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.760000000008073 Order of pole (three term test) 1.000000000000073 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.770000000008274 y[1] (closed_form) 1.6326423930706966 y[1] (numeric) 1.6326423930630023 absolute error 7.694289649862185e-12 relative error 4.712783205016903e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.770000000008274 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.770000000008146 Order of pole (three term test) 1.0000000000000726 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.780000000008286 y[1] (closed_form) 1.6432116116365307 y[1] (numeric) 1.6432116116288222 absolute error 7.708500504577387e-12 relative error 4.691118569263411e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.780000000008286 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.780000000008112 Order of pole (three term test) 1.0000000000001366 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.7900000000083 y[1] (closed_form) 1.6537843048375933 y[1] (numeric) 1.653784304829875 absolute error 7.718270467194088e-12 relative error 4.667035746207572e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.7900000000083 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.790000000008174 Order of pole (three term test) 1.000000000000196 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.80000000000831 y[1] (closed_form) 1.6643604714670026 y[1] (numeric) 1.6643604714592715 absolute error 7.73114905427974e-12 relative error 4.6451169604294564e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.80000000000831 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.800000000008215 Order of pole (three term test) 1.000000000000155 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.810000000008323 y[1] (closed_form) 1.6749401103187047 y[1] (numeric) 1.67494011031096 absolute error 7.744693775180167e-12 relative error 4.623863102607603e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.810000000008323 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.810000000008127 Order of pole (three term test) 1.0000000000001201 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.820000000008335 y[1] (closed_form) 1.6855232201874841 y[1] (numeric) 1.6855232201797261 absolute error 7.758016451475669e-12 relative error 4.602734841358477e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.820000000008335 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.820000000008083 Order of pole (three term test) 1.0000000000001867 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.830000000008347 y[1] (closed_form) 1.6961097998689603 y[1] (numeric) 1.6961097998611925 absolute error 7.76778641409237e-12 relative error 4.5797662478528817e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.830000000008347 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.83000000000832 Order of pole (three term test) 1.000000000000025 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.84000000000836 y[1] (closed_form) 1.7066998481596016 y[1] (numeric) 1.7066998481518159 absolute error 7.785772027091298e-12 relative error 4.5618871036327725e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.84000000000836 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.840000000008153 Order of pole (three term test) 1.0000000000000953 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.85000000000837 y[1] (closed_form) 1.7172933638566832 y[1] (numeric) 1.7172933638488888 absolute error 7.794431766683374e-12 relative error 4.538788730411619e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.85000000000837 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.850000000008183 Order of pole (three term test) 1.000000000000035 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.860000000008384 y[1] (closed_form) 1.7278903457583468 y[1] (numeric) 1.727890345750537 absolute error 7.809752844423201e-12 relative error 4.5198197117049175e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.860000000008384 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.860000000008135 Order of pole (three term test) 1.0000000000001485 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.870000000008396 y[1] (closed_form) 1.7384907926635442 y[1] (numeric) 1.7384907926557194 absolute error 7.824851877558103e-12 relative error 4.5009452512369285e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.870000000008396 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.870000000008368 Order of pole (three term test) 1.000000000000088 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.88000000000841 y[1] (closed_form) 1.7490947033720623 y[1] (numeric) 1.7490947033642275 absolute error 7.83484388477973e-12 relative error 4.4793708823627513e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.88000000000841 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.88000000000825 Order of pole (three term test) 1.0000000000001261 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.89000000000842 y[1] (closed_form) 1.7597020766845297 y[1] (numeric) 1.759702076676683 absolute error 7.846612248840756e-12 relative error 4.4590572192905676e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.89000000000842 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.890000000008605 Order of pole (three term test) 0.9999999999998833 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.900000000008433 y[1] (closed_form) 1.770312911402403 y[1] (numeric) 1.7703129113945382 absolute error 7.864819906444609e-12 relative error 4.4426156843731493e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.900000000008433 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.900000000008255 Order of pole (three term test) 1.000000000000176 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.910000000008445 y[1] (closed_form) 1.7809272063279487 y[1] (numeric) 1.7809272063200745 absolute error 7.87414577985146e-12 relative error 4.421374299787903e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.910000000008445 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.910000000008313 Order of pole (three term test) 1.0000000000001414 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.920000000008457 y[1] (closed_form) 1.7915449602642894 y[1] (numeric) 1.791544960256403 absolute error 7.886358233122337e-12 relative error 4.40198733944078e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.920000000008457 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.92000000000819 Order of pole (three term test) 1.0000000000002445 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.93000000000847 y[1] (closed_form) 1.8021661720153617 y[1] (numeric) 1.8021661720074615 absolute error 7.900124998627689e-12 relative error 4.383682881913704e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.93000000000847 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.93000000000847 Order of pole (three term test) 0.9999999999999978 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.94000000000848 y[1] (closed_form) 1.812790840385933 y[1] (numeric) 1.8127908403780149 absolute error 7.918110611626616e-12 relative error 4.367911860113379e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.94000000000848 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.940000000008382 Order of pole (three term test) 1.0000000000000069 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.950000000008494 y[1] (closed_form) 1.8234189641815775 y[1] (numeric) 1.823418964173654 absolute error 7.923439682144817e-12 relative error 4.3453752745744696e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.950000000008494 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.950000000008416 Order of pole (three term test) 1.0000000000001157 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.960000000008506 y[1] (closed_form) 1.834050542208736 y[1] (numeric) 1.8340505422007956 absolute error 7.940537116724045e-12 relative error 4.3295083390457184e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.960000000008506 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.96000000000834 Order of pole (three term test) 1.0000000000001446 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.97000000000852 y[1] (closed_form) 1.8446855732746315 y[1] (numeric) 1.8446855732666803 absolute error 7.951195257760446e-12 relative error 4.3103254955508317e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.97000000000852 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.97000000000826 Order of pole (three term test) 1.000000000000188 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.98000000000853 y[1] (closed_form) 1.8553240561873352 y[1] (numeric) 1.8553240561793711 absolute error 7.964073844846098e-12 relative error 4.292551383833268e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.98000000000853 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.98000000000848 Order of pole (three term test) 0.9999999999999961 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 26.990000000008543 y[1] (closed_form) 1.8659659897557361 y[1] (numeric) 1.8659659897477554 absolute error 7.980727190215475e-12 relative error 4.276994990278569e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 28.990000000008543 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 28.990000000008312 Order of pole (three term test) 1.0000000000002767 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.000000000008555 y[1] (closed_form) 1.8766113727895295 y[1] (numeric) 1.8766113727815406 absolute error 7.988942840597701e-12 relative error 4.2571109588461914e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.000000000008555 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.000000000008335 Order of pole (three term test) 1.0000000000001728 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.010000000008567 y[1] (closed_form) 1.8872602040992597 y[1] (numeric) 1.8872602040912563 absolute error 8.003375739917828e-12 relative error 4.240737828590855e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.010000000008567 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.010000000008404 Order of pole (three term test) 1.0000000000001834 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.02000000000858 y[1] (closed_form) 1.8979124824962668 y[1] (numeric) 1.8979124824882514 absolute error 8.01536614858378e-12 relative error 4.2232538236122524e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.02000000000858 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.02000000000808 Order of pole (three term test) 1.0000000000002296 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.03000000000859 y[1] (closed_form) 1.9085682067927294 y[1] (numeric) 1.9085682067846947 absolute error 8.034684029212258e-12 relative error 4.2097966426435523e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.03000000000859 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.03000000000839 Order of pole (three term test) 1.0000000000001226 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.040000000008604 y[1] (closed_form) 1.9192273758016185 y[1] (numeric) 1.9192273757935725 absolute error 8.046008304063434e-12 relative error 4.1923163485008107e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.040000000008604 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.040000000008476 Order of pole (three term test) 1.000000000000142 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.050000000008616 y[1] (closed_form) 1.9298899883367433 y[1] (numeric) 1.9298899883286889 absolute error 8.054445999050586e-12 relative error 4.1735259769870254e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.050000000008616 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.050000000008414 Order of pole (three term test) 1.0000000000000713 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.06000000000863 y[1] (closed_form) 1.9405560432127373 y[1] (numeric) 1.9405560432046651 absolute error 8.072209567444588e-12 relative error 4.159740501016623e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.06000000000863 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.0600000000085 Order of pole (three term test) 1.0000000000002294 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.07000000000864 y[1] (closed_form) 1.9512255392450228 y[1] (numeric) 1.9512255392369378 absolute error 8.08508815453024e-12 relative error 4.143594880199528e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.07000000000864 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.070000000008587 Order of pole (three term test) 1.0000000000000366 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.080000000008653 y[1] (closed_form) 1.9618984752498534 y[1] (numeric) 1.9618984752417588 absolute error 8.094636072542016e-12 relative error 4.125919956949424e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.080000000008653 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.0800000000087 Order of pole (three term test) 0.9999999999999699 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.090000000008665 y[1] (closed_form) 1.9725748500443032 y[1] (numeric) 1.972574850036193 absolute error 8.110179194886769e-12 relative error 4.1114684163719403e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.090000000008665 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.090000000008654 Order of pole (three term test) 1.0000000000000306 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.100000000008677 y[1] (closed_form) 1.983254662446246 y[1] (numeric) 1.9832546624381204 absolute error 8.125500272626596e-12 relative error 4.097053407455095e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.100000000008677 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.1000000000085 Order of pole (three term test) 1.0000000000001255 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.11000000000869 y[1] (closed_form) 1.9939379112743723 y[1] (numeric) 1.993937911266233 absolute error 8.139267038131948e-12 relative error 4.0820062611327513e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.11000000000869 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.110000000008675 Order of pole (three term test) 0.9999999999999607 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.1200000000087 y[1] (closed_form) 2.0046245953481794 y[1] (numeric) 2.0046245953400326 absolute error 8.146816554699399e-12 relative error 4.0640110739958243e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.1200000000087 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.1200000000087 Order of pole (three term test) 0.9999999999999933 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.130000000008714 y[1] (closed_form) 2.0153147134879994 y[1] (numeric) 2.015314713479835 absolute error 8.164580123093401e-12 relative error 4.051268056770439e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.130000000008714 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.130000000008703 Order of pole (three term test) 0.9999999999999217 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.140000000008726 y[1] (closed_form) 2.0260082645149353 y[1] (numeric) 2.026008264506762 absolute error 8.173461907290402e-12 relative error 4.0342687887540694e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.140000000008726 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.14000000000859 Order of pole (three term test) 1.0000000000001548 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.15000000000874 y[1] (closed_form) 2.0367052472509357 y[1] (numeric) 2.0367052472427476 absolute error 8.188116851215455e-12 relative error 4.0202758166737436e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.15000000000874 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.15000000000873 Order of pole (three term test) 0.9999999999999405 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.16000000000875 y[1] (closed_form) 2.0474056605187307 y[1] (numeric) 2.0474056605105324 absolute error 8.198330903042006e-12 relative error 4.0042533148828343e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.16000000000875 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.160000000008594 Order of pole (three term test) 1.000000000000116 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.170000000008763 y[1] (closed_form) 2.0581095031418783 y[1] (numeric) 2.058109503133666 absolute error 8.212541757757208e-12 relative error 3.9903327520814943e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.170000000008763 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.170000000008546 Order of pole (three term test) 1.000000000000169 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.180000000008775 y[1] (closed_form) 2.0688167739447287 y[1] (numeric) 2.068816773936503 absolute error 8.22586443405271e-12 relative error 3.9761203300609334e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.180000000008775 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.18000000000857 Order of pole (three term test) 1.0000000000001215 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.190000000008787 y[1] (closed_form) 2.079527471752442 y[1] (numeric) 2.0795274717442047 absolute error 8.237410753508811e-12 relative error 3.961193523722507e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.190000000008787 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.190000000008506 Order of pole (three term test) 1.0000000000000826 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.2000000000088 y[1] (closed_form) 2.0902415953909887 y[1] (numeric) 2.0902415953827376 absolute error 8.251177519014163e-12 relative error 3.947475515370148e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.2000000000088 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.200000000008476 Order of pole (three term test) 1.0000000000001992 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.21000000000881 y[1] (closed_form) 2.1009591436871347 y[1] (numeric) 2.100959143678872 absolute error 8.262723838470265e-12 relative error 3.9328341359220226e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.21000000000881 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.210000000008414 Order of pole (three term test) 1.0000000000002722 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.220000000008824 y[1] (closed_form) 2.1116801154684595 y[1] (numeric) 2.1116801154601816 absolute error 8.277822871605167e-12 relative error 3.920017435864711e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.220000000008824 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.22000000000857 Order of pole (three term test) 1.0000000000001785 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.230000000008836 y[1] (closed_form) 2.1224045095633315 y[1] (numeric) 2.1224045095550412 absolute error 8.290257369480969e-12 relative error 3.906068486061889e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.230000000008836 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.230000000008534 Order of pole (three term test) 1.0000000000002178 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.24000000000885 y[1] (closed_form) 2.1331323248009326 y[1] (numeric) 2.133132324792629 absolute error 8.30358004577647e-12 relative error 3.8926699245211496e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.24000000000885 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.240000000008838 Order of pole (three term test) 0.9999999999999788 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.25000000000886 y[1] (closed_form) 2.143863560011237 y[1] (numeric) 2.1438635600029237 absolute error 8.313350008393172e-12 relative error 3.877742111699309e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.25000000000886 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.250000000008587 Order of pole (three term test) 1.0000000000002378 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.260000000008873 y[1] (closed_form) 2.1545982140250324 y[1] (numeric) 2.154598214016704 absolute error 8.328449041528074e-12 relative error 3.8654302167871906e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.260000000008873 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.260000000008525 Order of pole (three term test) 1.000000000000154 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.270000000008885 y[1] (closed_form) 2.1653362856738916 y[1] (numeric) 2.1653362856655467 absolute error 8.344880342292527e-12 relative error 3.8538495833202414e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.270000000008885 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.270000000008906 Order of pole (three term test) 1.000000000000003 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.280000000008897 y[1] (closed_form) 2.176077773790187 y[1] (numeric) 2.1760777737818295 absolute error 8.357314840168328e-12 relative error 3.840540508628955e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.280000000008897 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.28000000000858 Order of pole (three term test) 1.0000000000002394 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.29000000000891 y[1] (closed_form) 2.186822677207097 y[1] (numeric) 2.1868226771987245 absolute error 8.37241387330323e-12 relative error 3.8285746533395513e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.29000000000891 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.290000000008977 Order of pole (three term test) 0.9999999999999312 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.30000000000892 y[1] (closed_form) 2.197570994758589 y[1] (numeric) 2.197570994750203 absolute error 8.386180638808582e-12 relative error 3.8161136358326545e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.30000000000892 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.30000000000894 Order of pole (three term test) 0.9999999999998999 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.310000000008934 y[1] (closed_form) 2.2083227252794266 y[1] (numeric) 2.2083227252710307 absolute error 8.395950601425284e-12 relative error 3.801958158250133e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.310000000008934 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.31000000000899 Order of pole (three term test) 0.9999999999998906 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.320000000008946 y[1] (closed_form) 2.219077867605179 y[1] (numeric) 2.21907786759677 absolute error 8.409273277720786e-12 relative error 3.789535013837096e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.320000000008946 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.320000000008868 Order of pole (three term test) 1.000000000000064 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.33000000000896 y[1] (closed_form) 2.229836420572198 y[1] (numeric) 2.229836420563775 absolute error 8.423040043226138e-12 relative error 3.7774250907000176e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.33000000000896 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.33000000000927 Order of pole (three term test) 0.99999999999976 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.34000000000897 y[1] (closed_form) 2.240598383017634 y[1] (numeric) 2.2405983830091967 absolute error 8.43725089794134e-12 relative error 3.7656239341644374e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.34000000000897 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.34000000000896 Order of pole (three term test) 0.9999999999999831 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.350000000008983 y[1] (closed_form) 2.2513637537794295 y[1] (numeric) 2.2513637537709763 absolute error 8.453238109495942e-12 relative error 3.754718932160672e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.350000000008983 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.350000000008933 Order of pole (three term test) 0.9999999999999696 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.360000000008995 y[1] (closed_form) 2.262132531696313 y[1] (numeric) 2.2621325316878473 absolute error 8.465672607371744e-12 relative error 3.7423415687424647e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.360000000008995 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.360000000008757 Order of pole (three term test) 1.0000000000001041 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.370000000009007 y[1] (closed_form) 2.2729047156078117 y[1] (numeric) 2.2729047155993345 absolute error 8.477218926827845e-12 relative error 3.7296851331319004e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.370000000009007 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.370000000009146 Order of pole (three term test) 0.9999999999999152 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.38000000000902 y[1] (closed_form) 2.2836803043542417 y[1] (numeric) 2.2836803043457534 absolute error 8.488321157074097e-12 relative error 3.7169480950943993e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.38000000000902 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.38000000000904 Order of pole (three term test) 0.9999999999998768 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.39000000000903 y[1] (closed_form) 2.2944592967767115 y[1] (numeric) 2.294459296768208 absolute error 8.503420190208999e-12 relative error 3.7060671340540766e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.39000000000903 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.390000000009007 Order of pole (three term test) 0.99999999999992 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.400000000009044 y[1] (closed_form) 2.3052416917171037 y[1] (numeric) 2.3052416917085914 absolute error 8.512301974406e-12 relative error 3.6925854694504713e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.400000000009044 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.400000000009122 Order of pole (three term test) 0.9999999999999565 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.410000000009056 y[1] (closed_form) 2.316027488018115 y[1] (numeric) 2.3160274880095844 absolute error 8.530509632009853e-12 relative error 3.68325059876972e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.410000000009056 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.41000000000898 Order of pole (three term test) 0.9999999999998924 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.42000000000907 y[1] (closed_form) 2.326816684523198 y[1] (numeric) 2.326816684514655 absolute error 8.542944129885655e-12 relative error 3.6715157608714844e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.42000000000907 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.420000000008944 Order of pole (three term test) 0.9999999999999676 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.43000000000908 y[1] (closed_form) 2.3376092800766166 y[1] (numeric) 2.3376092800680577 absolute error 8.558931341440257e-12 relative error 3.6614037317475624e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.43000000000908 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.430000000008924 Order of pole (three term test) 1.0000000000000429 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.440000000009093 y[1] (closed_form) 2.3484052735233973 y[1] (numeric) 2.3484052735148317 absolute error 8.565592679588008e-12 relative error 3.647408211929596e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.440000000009093 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.440000000009135 Order of pole (three term test) 0.9999999999999952 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.450000000009105 y[1] (closed_form) 2.3592046637093844 y[1] (numeric) 2.359204663700802 absolute error 8.58246806956231e-12 relative error 3.637864998142243e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.450000000009105 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.450000000009094 Order of pole (three term test) 1.0000000000000544 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.460000000009117 y[1] (closed_form) 2.3700074494811716 y[1] (numeric) 2.3700074494725754 absolute error 8.596234835067662e-12 relative error 3.627091905111733e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.460000000009117 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.460000000009114 Order of pole (three term test) 0.9999999999998768 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.47000000000913 y[1] (closed_form) 2.380813629686152 y[1] (numeric) 2.380813629677544 absolute error 8.607781154523764e-12 relative error 3.615478778848588e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.47000000000913 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.47000000000919 Order of pole (three term test) 1.00000000000007 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.48000000000914 y[1] (closed_form) 2.3916232031725038 y[1] (numeric) 2.391623203163881 absolute error 8.622880187658666e-12 relative error 3.6054509657793747e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.48000000000914 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.480000000009298 Order of pole (three term test) 0.999999999999937 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.490000000009154 y[1] (closed_form) 2.4024361687891727 y[1] (numeric) 2.4024361687805404 absolute error 8.632206061065517e-12 relative error 3.593105270895146e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.490000000009154 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.490000000008905 Order of pole (three term test) 1.0000000000001952 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.500000000009166 y[1] (closed_form) 2.413252525385907 y[1] (numeric) 2.413252525377258 absolute error 8.64908145103982e-12 relative error 3.5839935357186584e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.500000000009166 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.500000000008946 Order of pole (three term test) 1.00000000000019 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.510000000009178 y[1] (closed_form) 2.4240722718132126 y[1] (numeric) 2.4240722718045493 absolute error 8.663292305755022e-12 relative error 3.573858917694255e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.510000000009178 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.51000000000901 Order of pole (three term test) 1.000000000000212 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.52000000000919 y[1] (closed_form) 2.4348954069223865 y[1] (numeric) 2.4348954069137076 absolute error 8.678835428099774e-12 relative error 3.56435656473207e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.52000000000919 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.520000000008864 Order of pole (three term test) 1.0000000000003448 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.530000000009203 y[1] (closed_form) 2.4457219295654973 y[1] (numeric) 2.4457219295568065 absolute error 8.690825836765725e-12 relative error 3.553480766437631e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.530000000009203 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.53000000000903 Order of pole (three term test) 1.0000000000000484 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.540000000009215 y[1] (closed_form) 2.456551838595395 y[1] (numeric) 2.456551838586695 absolute error 8.700151710172577e-12 relative error 3.5416112835408927e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.540000000009215 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.540000000009144 Order of pole (three term test) 1.0000000000000604 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.550000000009227 y[1] (closed_form) 2.467385132865722 y[1] (numeric) 2.467385132857001 absolute error 8.72102390303553e-12 relative error 3.534520730821854e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.550000000009227 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.55000000000909 Order of pole (three term test) 1.0000000000001288 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.56000000000924 y[1] (closed_form) 2.47822181123086 y[1] (numeric) 2.4782218112221264 absolute error 8.733458400911331e-12 relative error 3.524082614934972e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.56000000000924 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.560000000009186 Order of pole (three term test) 1.0000000000000475 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.57000000000925 y[1] (closed_form) 2.4890618725459888 y[1] (numeric) 2.4890618725372478 absolute error 8.741007917478782e-12 relative error 3.511768033527371e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.57000000000925 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.570000000009287 Order of pole (three term test) 1.0000000000000644 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.580000000009264 y[1] (closed_form) 2.4999053156670783 y[1] (numeric) 2.4999053156583186 absolute error 8.759659664292485e-12 relative error 3.503996575148305e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.580000000009264 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.580000000009058 Order of pole (three term test) 1.00000000000011 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.590000000009276 y[1] (closed_form) 2.5107521394508368 y[1] (numeric) 2.5107521394420633 absolute error 8.773426429797837e-12 relative error 3.4943419113114054e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.590000000009276 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.590000000009375 Order of pole (three term test) 0.999999999999926 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.600000000009288 y[1] (closed_form) 2.5216023427547682 y[1] (numeric) 2.5216023427459815 absolute error 8.786749106093339e-12 relative error 3.4845895235384746e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.600000000009288 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.600000000009143 Order of pole (three term test) 1.0000000000002731 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.6100000000093 y[1] (closed_form) 2.532455924437137 y[1] (numeric) 2.532455924428342 absolute error 8.79518680108049e-12 relative error 3.4729871174501507e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.6100000000093 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.61000000000912 Order of pole (three term test) 1.0000000000001257 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.620000000009313 y[1] (closed_form) 2.5433128833569967 y[1] (numeric) 2.5433128833481855 absolute error 8.811174012635092e-12 relative error 3.4644475205130696e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.620000000009313 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.62000000000911 Order of pole (three term test) 1.0000000000001232 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.630000000009325 y[1] (closed_form) 2.554173218374146 y[1] (numeric) 2.554173218365325 absolute error 8.820943975251794e-12 relative error 3.4535418004526525e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.630000000009325 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.630000000009428 Order of pole (three term test) 0.9999999999999439 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.640000000009337 y[1] (closed_form) 2.56503692834918 y[1] (numeric) 2.5650369283403425 absolute error 8.837375276016246e-12 relative error 3.4453208756350544e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.640000000009337 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.640000000009024 Order of pole (three term test) 1.0000000000001619 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.65000000000935 y[1] (closed_form) 2.5759040121434325 y[1] (numeric) 2.575904012134586 absolute error 8.846257060213247e-12 relative error 3.434233969321007e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.65000000000935 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.650000000009335 Order of pole (three term test) 0.9999999999999981 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.66000000000936 y[1] (closed_form) 2.5867744686190406 y[1] (numeric) 2.5867744686101757 absolute error 8.86490880702695e-12 relative error 3.4270126424123536e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.66000000000936 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.660000000009575 Order of pole (three term test) 0.9999999999998688 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.670000000009374 y[1] (closed_form) 2.597648296638873 y[1] (numeric) 2.5976482966299974 absolute error 8.875566948063351e-12 relative error 3.4167700683528057e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.670000000009374 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.670000000009225 Order of pole (three term test) 1.0000000000001381 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.680000000009386 y[1] (closed_form) 2.608525495066587 y[1] (numeric) 2.6085254950577013 absolute error 8.885780999889903e-12 relative error 3.406438241334144e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.680000000009386 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.68000000000924 Order of pole (three term test) 0.9999999999999208 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.690000000009398 y[1] (closed_form) 2.6194060627666076 y[1] (numeric) 2.6194060627577067 absolute error 8.900880033024805e-12 relative error 3.3980527721706984e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.690000000009398 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.69000000000902 Order of pole (three term test) 1.000000000000331 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.70000000000941 y[1] (closed_form) 2.6302899986041055 y[1] (numeric) 2.6302899985951953 absolute error 8.910205906431656e-12 relative error 3.387537462089846e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.70000000000941 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.70000000000954 Order of pole (three term test) 0.999999999999941 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.710000000009423 y[1] (closed_form) 2.6411773014450404 y[1] (numeric) 2.6411773014361146 absolute error 8.925749028776409e-12 relative error 3.3794584800849813e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.710000000009423 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.710000000009103 Order of pole (three term test) 1.00000000000025 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.720000000009435 y[1] (closed_form) 2.652067970156118 y[1] (numeric) 2.652067970147175 absolute error 8.942624418750711e-12 relative error 3.371943901658105e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.720000000009435 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.72000000000912 Order of pole (three term test) 1.0000000000001747 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.730000000009447 y[1] (closed_form) 2.662962003604804 y[1] (numeric) 2.6629620035958497 absolute error 8.954170738206813e-12 relative error 3.362485355061662e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.730000000009447 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.73000000000928 Order of pole (three term test) 1.0000000000000782 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.74000000000946 y[1] (closed_form) 2.673859400659346 y[1] (numeric) 2.6738594006503726 absolute error 8.973266574230365e-12 relative error 3.3559231169812635e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.74000000000946 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.74000000000897 Order of pole (three term test) 1.0000000000003955 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.75000000000947 y[1] (closed_form) 2.6847601601887234 y[1] (numeric) 2.6847601601797413 absolute error 8.982148358427366e-12 relative error 3.3456055001188534e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.75000000000947 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.75000000000947 Order of pole (three term test) 1.0000000000000062 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.760000000009484 y[1] (closed_form) 2.6956642810627045 y[1] (numeric) 2.695664281053711 absolute error 8.993694677883468e-12 relative error 3.336355621530849e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.760000000009484 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.760000000009526 Order of pole (three term test) 1.0000000000000415 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.770000000009496 y[1] (closed_form) 2.7065717621518033 y[1] (numeric) 2.706571762142797 absolute error 9.00612917575927e-12 relative error 3.32750429960857e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.770000000009496 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.77000000000936 Order of pole (three term test) 1.0000000000001008 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.780000000009508 y[1] (closed_form) 2.717482602327294 y[1] (numeric) 2.7174826023182757 absolute error 9.018563673635072e-12 relative error 3.3187199306856404e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.780000000009508 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.780000000009437 Order of pole (three term test) 1.0000000000000318 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.79000000000952 y[1] (closed_form) 2.728396800461212 y[1] (numeric) 2.7283968004521775 absolute error 9.034550885189674e-12 relative error 3.311303870339703e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.79000000000952 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.79000000000957 Order of pole (three term test) 0.99999999999992 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.800000000009533 y[1] (closed_form) 2.7393143554263375 y[1] (numeric) 2.7393143554172945 absolute error 9.042988580176825e-12 relative error 3.3011868689927723e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.800000000009533 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.800000000009785 Order of pole (three term test) 0.9999999999998395 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.810000000009545 y[1] (closed_form) 2.750235266096233 y[1] (numeric) 2.7502352660871723 absolute error 9.060752148570828e-12 relative error 3.294537111158469e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.810000000009545 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.81000000000928 Order of pole (three term test) 1.0000000000000995 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.820000000009557 y[1] (closed_form) 2.7611595313451858 y[1] (numeric) 2.761159531336113 absolute error 9.07274255723678e-12 relative error 3.28584511479375e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.820000000009557 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.82000000000936 Order of pole (three term test) 1.0000000000000973 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.83000000000957 y[1] (closed_form) 2.7720871500482573 y[1] (numeric) 2.7720871500391753 absolute error 9.08206843064363e-12 relative error 3.276256459139651e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.83000000000957 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.830000000009505 Order of pole (three term test) 1.0000000000000475 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.84000000000958 y[1] (closed_form) 2.7830181210812626 y[1] (numeric) 2.7830181210721685 absolute error 9.094058839309582e-12 relative error 3.2676965954416226e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.84000000000958 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.840000000009493 Order of pole (three term test) 1.0000000000000573 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.850000000009594 y[1] (closed_form) 2.7939524433207694 y[1] (numeric) 2.793952443311659 absolute error 9.110490140074035e-12 relative error 3.260789267137885e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.850000000009594 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.850000000009626 Order of pole (three term test) 0.999999999999915 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.860000000009606 y[1] (closed_form) 2.804890115644092 y[1] (numeric) 2.8048901156349637 absolute error 9.128253708468037e-12 relative error 3.254406886585609e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.860000000009606 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.86000000000929 Order of pole (three term test) 1.0000000000000682 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.870000000009618 y[1] (closed_form) 2.8158311369292903 y[1] (numeric) 2.8158311369201536 absolute error 9.136691403455188e-12 relative error 3.2447582824227515e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.870000000009618 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.8700000000095 Order of pole (three term test) 1.0000000000001754 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.88000000000963 y[1] (closed_form) 2.826775506055206 y[1] (numeric) 2.826775506046049 absolute error 9.157119507108291e-12 relative error 3.239422263102578e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.88000000000963 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.880000000009556 Order of pole (three term test) 1.0000000000001195 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.890000000009643 y[1] (closed_form) 2.837723221901385 y[1] (numeric) 2.837723221892221 absolute error 9.163780845256042e-12 relative error 3.2292722470361124e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.890000000009643 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.890000000009575 Order of pole (three term test) 1.0000000000000957 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.900000000009655 y[1] (closed_form) 2.848674283348174 y[1] (numeric) 2.8486742833389904 absolute error 9.183764859699295e-12 relative error 3.223873263918824e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.900000000009655 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.9000000000099 Order of pole (three term test) 0.9999999999998634 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.910000000009667 y[1] (closed_form) 2.8596286892766187 y[1] (numeric) 2.859628689267428 absolute error 9.190870287056896e-12 relative error 3.2140082806980963e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.910000000009667 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.91000000000964 Order of pole (three term test) 0.999999999999854 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.92000000000968 y[1] (closed_form) 2.8705864385685587 y[1] (numeric) 2.870586438559351 absolute error 9.207745677031198e-12 relative error 3.207618329592164e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.92000000000968 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.920000000009683 Order of pole (three term test) 1.000000000000119 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.93000000000969 y[1] (closed_form) 2.8815475301065447 y[1] (numeric) 2.8815475300973254 absolute error 9.2192919964873e-12 relative error 3.1994238860069814e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.93000000000969 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.930000000009528 Order of pole (three term test) 1.0000000000001117 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.940000000009704 y[1] (closed_form) 2.892511962773895 y[1] (numeric) 2.8925119627646643 absolute error 9.230838315943402e-12 relative error 3.1912878614652654e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.940000000009704 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.94000000000967 Order of pole (three term test) 1.0000000000000178 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.950000000009716 y[1] (closed_form) 2.903479735454667 y[1] (numeric) 2.903479735445425 absolute error 9.241940546189653e-12 relative error 3.183056672769381e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.950000000009716 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.950000000009585 Order of pole (three term test) 1.0000000000000782 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.960000000009728 y[1] (closed_form) 2.9144508470336703 y[1] (numeric) 2.9144508470244115 absolute error 9.258815936163955e-12 relative error 3.1768646726664077e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.960000000009728 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.96000000000939 Order of pole (three term test) 1.0000000000002212 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.97000000000974 y[1] (closed_form) 2.9254252963964404 y[1] (numeric) 2.925425296387171 absolute error 9.269474077200357e-12 relative error 3.1685902520288453e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.97000000000974 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.970000000009676 Order of pole (three term test) 0.9999999999999679 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.980000000009753 y[1] (closed_form) 2.9364030824292797 y[1] (numeric) 2.9364030824199965 absolute error 9.283240842705709e-12 relative error 3.161432740026177e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.980000000009753 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.98000000000958 Order of pole (three term test) 1.0000000000001594 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 27.990000000009765 y[1] (closed_form) 2.9473842040192224 y[1] (numeric) 2.9473842040099214 absolute error 9.301004411099711e-12 relative error 3.1556810267274716e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 29.990000000009765 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 29.990000000009605 Order of pole (three term test) 1.0000000000001121 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.000000000009777 y[1] (closed_form) 2.9583686600540346 y[1] (numeric) 2.958368660044723 absolute error 9.311662552136113e-12 relative error 3.147566656539025e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.000000000009777 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.00000000000954 Order of pole (three term test) 1.000000000000141 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.01000000000979 y[1] (closed_form) 2.969356449422243 y[1] (numeric) 2.9693564494129197 absolute error 9.323208871592215e-12 relative error 3.1398079113763053e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.01000000000979 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.010000000009512 Order of pole (three term test) 1.0000000000000793 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.0200000000098 y[1] (closed_form) 2.9803475710131053 y[1] (numeric) 2.9803475710037706 absolute error 9.334755191048316e-12 relative error 3.1321028734494767e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.0200000000098 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.020000000009542 Order of pole (three term test) 1.0000000000001834 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.030000000009814 y[1] (closed_form) 2.9913420237166264 y[1] (numeric) 2.9913420237072748 absolute error 9.351630581022619e-12 relative error 3.126232475885048e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.030000000009814 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.03000000000955 Order of pole (three term test) 1.000000000000113 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.040000000009826 y[1] (closed_form) 3.002339806423535 y[1] (numeric) 3.00233980641417 absolute error 9.36495325731812e-12 relative error 3.11921829677031e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.040000000009826 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.040000000009673 Order of pole (three term test) 1.000000000000074 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.050000000009838 y[1] (closed_form) 3.013340918025314 y[1] (numeric) 3.0133409180159347 absolute error 9.379164112033322e-12 relative error 3.112546627541773e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.050000000009838 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.050000000009586 Order of pole (three term test) 1.0000000000002203 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.06000000000985 y[1] (closed_form) 3.0243453574141697 y[1] (numeric) 3.024345357404782 absolute error 9.387601807020474e-12 relative error 3.1040111817940397e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.06000000000985 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.060000000009754 Order of pole (three term test) 1.0000000000000968 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.070000000009863 y[1] (closed_form) 3.0353531234830697 y[1] (numeric) 3.035353123473664 absolute error 9.405809464624326e-12 relative error 3.09875295623962e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.070000000009863 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.070000000009575 Order of pole (three term test) 1.0000000000001306 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.080000000009875 y[1] (closed_form) 3.046364215125685 y[1] (numeric) 3.0463642151162684 absolute error 9.416467605660728e-12 relative error 3.091051148417009e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.080000000009875 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.080000000009797 Order of pole (three term test) 1.0000000000000067 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.090000000009887 y[1] (closed_form) 3.0573786312364533 y[1] (numeric) 3.0573786312270195 absolute error 9.43378708484488e-12 relative error 3.085580238071365e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.090000000009887 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.090000000009816 Order of pole (three term test) 1.0000000000000202 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.1000000000099 y[1] (closed_form) 3.0683963707105235 y[1] (numeric) 3.0683963707010755 absolute error 9.447997939560082e-12 relative error 3.079132158330733e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.1000000000099 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.10000000000992 Order of pole (three term test) 1.0000000000000235 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.11000000000991 y[1] (closed_form) 3.0794174324437833 y[1] (numeric) 3.0794174324343295 absolute error 9.453771099288133e-12 relative error 3.069986874688097e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.11000000000991 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.110000000009983 Order of pole (three term test) 1.0000000000000802 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.120000000009924 y[1] (closed_form) 3.0904418153328805 y[1] (numeric) 3.090441815323406 absolute error 9.474643292151086e-12 relative error 3.0657892490140747e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.120000000009924 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.12000000000975 Order of pole (three term test) 1.0000000000000708 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.130000000009936 y[1] (closed_form) 3.1014695182751453 y[1] (numeric) 3.101469518265664 absolute error 9.481304630298837e-12 relative error 3.057036212811719e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.130000000009936 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.130000000009893 Order of pole (three term test) 1.0000000000000633 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.140000000009948 y[1] (closed_form) 3.112500540168689 y[1] (numeric) 3.1125005401591936 absolute error 9.495515485014039e-12 relative error 3.050767497858621e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.140000000009948 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.14000000001006 Order of pole (three term test) 0.9999999999999585 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.15000000000996 y[1] (closed_form) 3.1235348799123273 y[1] (numeric) 3.123534879902819 absolute error 9.50839407209969e-12 relative error 3.044113300366467e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.15000000000996 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.15000000000987 Order of pole (three term test) 1.0000000000000953 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.160000000009973 y[1] (closed_form) 3.1345725364056136 y[1] (numeric) 3.1345725363960906 absolute error 9.523049016024743e-12 relative error 3.0380694354403866e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.160000000009973 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.160000000009976 Order of pole (three term test) 1.000000000000013 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.170000000009985 y[1] (closed_form) 3.145613508548827 y[1] (numeric) 3.1456135085392893 absolute error 9.537703959949795e-12 relative error 3.032064789278529e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.170000000009985 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.17000000000996 Order of pole (three term test) 1.0000000000000209 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.180000000009997 y[1] (closed_form) 3.156657795242978 y[1] (numeric) 3.156657795233427 absolute error 9.551026636245297e-12 relative error 3.0256769202662726e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.180000000009997 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.18000000000979 Order of pole (three term test) 1.0000000000001341 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.19000000001001 y[1] (closed_form) 3.1677053953898096 y[1] (numeric) 3.167705395380243 absolute error 9.566569758590049e-12 relative error 3.0200313995464886e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.19000000001001 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.19000000000994 Order of pole (three term test) 1.0000000000000262 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.20000000001002 y[1] (closed_form) 3.1787563078917813 y[1] (numeric) 3.1787563078822045 absolute error 9.5767838104166e-12 relative error 3.012745515169147e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.20000000001002 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.200000000009968 Order of pole (three term test) 1.000000000000077 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.210000000010034 y[1] (closed_form) 3.1898105316520926 y[1] (numeric) 3.1898105316425047 absolute error 9.587886040662852e-12 relative error 3.005785436320889e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.210000000010034 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.21000000001005 Order of pole (three term test) 0.9999999999999453 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.220000000010046 y[1] (closed_form) 3.2008680655746673 y[1] (numeric) 3.2008680655650634 absolute error 9.603873252217454e-12 relative error 3.00039647229047e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.220000000010046 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.220000000009705 Order of pole (three term test) 1.0000000000002471 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.230000000010058 y[1] (closed_form) 3.211928908564147 y[1] (numeric) 3.211928908554525 absolute error 9.622080909821307e-12 relative error 2.9957328395922495e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.230000000010058 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.230000000010076 Order of pole (three term test) 1.0000000000000704 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.24000000001007 y[1] (closed_form) 3.2229930595258907 y[1] (numeric) 3.2229930595162597 absolute error 9.630962694018308e-12 relative error 2.988204602412344e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.24000000001007 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.240000000009932 Order of pole (three term test) 1.0000000000001508 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.250000000010083 y[1] (closed_form) 3.2340605173660038 y[1] (numeric) 3.234060517356362 absolute error 9.64162083505471e-12 relative error 2.9812740928259977e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.250000000010083 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.250000000009955 Order of pole (three term test) 1.0000000000001799 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.260000000010095 y[1] (closed_form) 3.245131280991309 y[1] (numeric) 3.2451312809816484 absolute error 9.660716671078262e-12 relative error 2.976987935023432e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.260000000010095 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.26000000001039 Order of pole (three term test) 0.999999999999784 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.270000000010107 y[1] (closed_form) 3.256205349309326 y[1] (numeric) 3.256205349299659 absolute error 9.666933920016163e-12 relative error 2.968772814671107e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.270000000010107 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.270000000009865 Order of pole (three term test) 1.000000000000314 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.28000000001012 y[1] (closed_form) 3.267282721228341 y[1] (numeric) 3.267282721218654 absolute error 9.686917934459416e-12 relative error 2.964823910560639e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.28000000001012 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.28000000000999 Order of pole (three term test) 1.0000000000000724 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.29000000001013 y[1] (closed_form) 3.2783633956573155 y[1] (numeric) 3.278363395647616 absolute error 9.699352432335218e-12 relative error 2.958595879024109e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.29000000001013 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.290000000010036 Order of pole (three term test) 1.0000000000001492 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.300000000010144 y[1] (closed_form) 3.2894473715059576 y[1] (numeric) 3.2894473714962498 absolute error 9.707790127322369e-12 relative error 2.9511918054727833e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.300000000010144 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.30000000001011 Order of pole (three term test) 0.9999999999999958 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.310000000010156 y[1] (closed_form) 3.3005346476846995 y[1] (numeric) 3.3005346476749766 absolute error 9.722889160457271e-12 relative error 2.9458527779060904e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.310000000010156 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.310000000009882 Order of pole (three term test) 1.0000000000001965 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.320000000010168 y[1] (closed_form) 3.311625223104677 y[1] (numeric) 3.3116252230949375 absolute error 9.739764550431573e-12 relative error 2.941082971128134e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.320000000010168 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.32000000001011 Order of pole (three term test) 1.0000000000001166 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.33000000001018 y[1] (closed_form) 3.3227190966777442 y[1] (numeric) 3.322719096667992 absolute error 9.752199048307375e-12 relative error 2.935005567596194e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.33000000001018 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.330000000010205 Order of pole (three term test) 0.9999999999999438 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.340000000010193 y[1] (closed_form) 3.333816267316486 y[1] (numeric) 3.333816267306718 absolute error 9.767742170652127e-12 relative error 2.929898166978035e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.340000000010193 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.340000000010036 Order of pole (three term test) 1.0000000000001719 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.350000000010205 y[1] (closed_form) 3.344916733934184 y[1] (numeric) 3.3449167339244097 absolute error 9.774403508799878e-12 relative error 2.922166465203317e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.350000000010205 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.350000000010223 Order of pole (three term test) 1.0000000000001716 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.360000000010217 y[1] (closed_form) 3.3560204954448736 y[1] (numeric) 3.356020495435077 absolute error 9.796607969292381e-12 relative error 2.919114463868536e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.360000000010217 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.36000000001013 Order of pole (three term test) 1.000000000000049 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.37000000001023 y[1] (closed_form) 3.36712755076325 y[1] (numeric) 3.3671275507534455 absolute error 9.804601575069682e-12 relative error 2.9118592709228393e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.37000000001023 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.370000000010187 Order of pole (three term test) 0.9999999999999495 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.38000000001024 y[1] (closed_form) 3.3782378988047768 y[1] (numeric) 3.3782378987949553 absolute error 9.821476965043985e-12 relative error 2.907278071955451e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.38000000001024 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.38000000001004 Order of pole (three term test) 1.0000000000001987 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.390000000010254 y[1] (closed_form) 3.389351538485599 y[1] (numeric) 3.389351538475761 absolute error 9.837908265808437e-12 relative error 2.902593063628958e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.390000000010254 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.390000000010197 Order of pole (three term test) 0.9999999999999569 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.400000000010266 y[1] (closed_form) 3.400468468722579 y[1] (numeric) 3.4004684687127305 absolute error 9.848566406844839e-12 relative error 2.896238120550653e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.400000000010266 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.400000000010337 Order of pole (three term test) 0.9999999999999105 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.410000000010278 y[1] (closed_form) 3.411588688433305 y[1] (numeric) 3.411588688423443 absolute error 9.86188908314034e-12 relative error 2.890702831961021e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.410000000010278 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.41000000001025 Order of pole (three term test) 1.0000000000000386 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.42000000001029 y[1] (closed_form) 3.422712196536061 y[1] (numeric) 3.422712196526191 absolute error 9.869882688917642e-12 relative error 2.8836437661648584e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.42000000001029 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.42000000001006 Order of pole (three term test) 1.0000000000000955 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.430000000010303 y[1] (closed_form) 3.4338389919498695 y[1] (numeric) 3.4338389919399774 absolute error 9.892087149410145e-12 relative error 2.8807661549072885e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.430000000010303 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.430000000010253 Order of pole (three term test) 1.0000000000000646 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.440000000010315 y[1] (closed_form) 3.4449690735944145 y[1] (numeric) 3.4449690735845175 absolute error 9.896972130718495e-12 relative error 2.872876916828802e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.440000000010315 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.440000000010365 Order of pole (three term test) 0.9999999999998497 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.450000000010327 y[1] (closed_form) 3.456102440390147 y[1] (numeric) 3.456102440380233 absolute error 9.913847520692798e-12 relative error 2.868505112821152e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.450000000010327 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.450000000010547 Order of pole (three term test) 1.0000000000000133 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.46000000001034 y[1] (closed_form) 3.467239091258186 y[1] (numeric) 3.467239091248257 absolute error 9.9289465538277e-12 relative error 2.863646345837864e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.46000000001034 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.46000000001039 Order of pole (three term test) 1.0000000000000495 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.47000000001035 y[1] (closed_form) 3.4783790251203683 y[1] (numeric) 3.478379025110431 absolute error 9.937384248814851e-12 relative error 2.8569009234038177e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.47000000001035 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.470000000010128 Order of pole (three term test) 1.000000000000042 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.480000000010364 y[1] (closed_form) 3.4895222408992552 y[1] (numeric) 3.4895222408893023 absolute error 9.952927371159603e-12 relative error 2.8522321063053947e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.480000000010364 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.48000000001028 Order of pole (three term test) 1.0000000000001623 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.490000000010376 y[1] (closed_form) 3.5006687375181045 y[1] (numeric) 3.500668737508128 absolute error 9.976464099281657e-12 relative error 2.8498737947866345e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.490000000010376 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.490000000010276 Order of pole (three term test) 1.0000000000000409 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.500000000010388 y[1] (closed_form) 3.511818513900856 y[1] (numeric) 3.5118185138908697 absolute error 9.986234061898358e-12 relative error 2.843607670034706e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.500000000010388 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.50000000001019 Order of pole (three term test) 1.0000000000002334 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.5100000000104 y[1] (closed_form) 3.5229715689721885 y[1] (numeric) 3.5229715689621948 absolute error 9.993783578465809e-12 relative error 2.836748291267491e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.5100000000104 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.510000000010393 Order of pole (three term test) 1.000000000000021 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.520000000010413 y[1] (closed_form) 3.5341279016574845 y[1] (numeric) 3.5341279016474756 absolute error 1.0008882611600711e-11 relative error 2.8320657571296743e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.520000000010413 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.520000000010164 Order of pole (three term test) 1.0000000000002374 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.530000000010425 y[1] (closed_form) 3.5452875108828152 y[1] (numeric) 3.545287510872789 absolute error 1.0026202090784864e-11 relative error 2.828036389152605e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.530000000010425 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.530000000010325 Order of pole (three term test) 1.000000000000083 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.540000000010437 y[1] (closed_form) 3.556450395574956 y[1] (numeric) 3.5564503955649145 absolute error 1.0041301123919766e-11 relative error 2.823405364071283e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.540000000010437 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.540000000010433 Order of pole (three term test) 1.0000000000000553 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.55000000001045 y[1] (closed_form) 3.5676165546613916 y[1] (numeric) 3.567616554651336 absolute error 1.0055511978634968e-11 relative error 2.8185517766747085e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.55000000001045 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.550000000010424 Order of pole (three term test) 0.9999999999999304 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.56000000001046 y[1] (closed_form) 3.5787859870703045 y[1] (numeric) 3.5787859870602383 absolute error 1.006617011967137e-11 relative error 2.812733188304401e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.56000000001046 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.56000000001021 Order of pole (three term test) 1.000000000000265 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.570000000010474 y[1] (closed_form) 3.589958691730587 y[1] (numeric) 3.5899586917205077 absolute error 1.0079048706757021e-11 relative error 2.807566763922368e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.570000000010474 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.570000000010374 Order of pole (three term test) 1.0000000000001141 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.580000000010486 y[1] (closed_form) 3.601134667571827 y[1] (numeric) 3.601134667561732 absolute error 1.0095035918311623e-11 relative error 2.803293086819912e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.580000000010486 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.580000000010077 Order of pole (three term test) 1.0000000000002083 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.590000000010498 y[1] (closed_form) 3.6123139135243036 y[1] (numeric) 3.6123139135141984 absolute error 1.0105249970138175e-11 relative error 2.797445131306191e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.590000000010498 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.590000000010168 Order of pole (three term test) 1.0000000000003082 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.60000000001051 y[1] (closed_form) 3.6234964285190117 y[1] (numeric) 3.6234964285088926 absolute error 1.0119016735643527e-11 relative error 2.792611207230954e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.60000000001051 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.600000000010215 Order of pole (three term test) 1.0000000000001754 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.610000000010523 y[1] (closed_form) 3.634682211487636 y[1] (numeric) 3.6346822114775024 absolute error 1.0133671679568579e-11 relative error 2.7880488829368597e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.610000000010523 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.610000000010533 Order of pole (three term test) 0.9999999999999474 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.620000000010535 y[1] (closed_form) 3.645871261362558 y[1] (numeric) 3.64587126135241 absolute error 1.0147882534283781e-11 relative error 2.7833902534702366e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.620000000010535 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.620000000010336 Order of pole (three term test) 1.0000000000001503 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.630000000010547 y[1] (closed_form) 3.6570635770768547 y[1] (numeric) 3.6570635770666957 absolute error 1.0158984764530032e-11 relative error 2.7779076164298625e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.630000000010547 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.63000000001032 Order of pole (three term test) 1.0000000000000873 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.64000000001056 y[1] (closed_form) 3.6682591575643144 y[1] (numeric) 3.6682591575541377 absolute error 1.0176748332924035e-11 relative error 2.7742719082261596e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.64000000001056 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.64000000001055 Order of pole (three term test) 0.9999999999999823 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.65000000001057 y[1] (closed_form) 3.6794580017594 y[1] (numeric) 3.6794580017492096 absolute error 1.0190515098429387e-11 relative error 2.7695696196441447e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.65000000001057 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.650000000010504 Order of pole (three term test) 0.9999999999999909 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.660000000010584 y[1] (closed_form) 3.690660108597278 y[1] (numeric) 3.69066010858708 absolute error 1.0198064614996838e-11 relative error 2.763208833899595e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.660000000010584 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.66000000001039 Order of pole (three term test) 1.0000000000001639 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.670000000010596 y[1] (closed_form) 3.7018654770138326 y[1] (numeric) 3.7018654770036123 absolute error 1.0220269075489341e-11 relative error 2.7608429152681367e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.670000000010596 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.670000000010408 Order of pole (three term test) 1.000000000000192 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.680000000010608 y[1] (closed_form) 3.713074105945587 y[1] (numeric) 3.7130741059353634 absolute error 1.0223821789168142e-11 relative error 2.753465591434648e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.680000000010608 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.680000000010317 Order of pole (three term test) 1.000000000000222 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.69000000001062 y[1] (closed_form) 3.7242859943298257 y[1] (numeric) 3.724285994319585 absolute error 1.0240697179142444e-11 relative error 2.749707512992763e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.69000000001062 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.690000000010745 Order of pole (three term test) 1.0000000000000298 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.700000000010633 y[1] (closed_form) 3.7355011411044714 y[1] (numeric) 3.735501141094219 absolute error 1.0252243498598546e-11 relative error 2.7445429974001496e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.700000000010633 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.70000000001057 Order of pole (three term test) 1.0000000000000535 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.710000000010645 y[1] (closed_form) 3.7467195452081725 y[1] (numeric) 3.7467195451979007 absolute error 1.0271783423831948e-11 relative error 2.741540512945234e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.710000000010645 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.710000000010577 Order of pole (three term test) 1.0000000000001046 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.720000000010657 y[1] (closed_form) 3.757941205580238 y[1] (numeric) 3.7579412055699573 absolute error 1.028066520802895e-11 relative error 2.735717416963042e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.720000000010657 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.720000000010273 Order of pole (three term test) 1.0000000000003155 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.73000000001067 y[1] (closed_form) 3.7691661211607013 y[1] (numeric) 3.769166121150404 absolute error 1.0297096508793402e-11 relative error 2.7319296040001676e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.73000000001067 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.73000000001045 Order of pole (three term test) 1.000000000000222 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.74000000001068 y[1] (closed_form) 3.780394290890264 y[1] (numeric) 3.780394290879949 absolute error 1.0315304166397254e-11 relative error 2.728631823208063e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.74000000001068 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.74000000001041 Order of pole (three term test) 1.0000000000001765 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.750000000010694 y[1] (closed_form) 3.79162571371031 y[1] (numeric) 3.7916257136999865 absolute error 1.0323741861384406e-11 relative error 2.7227745143868823e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.750000000010694 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.75000000001046 Order of pole (three term test) 1.0000000000001135 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.760000000010706 y[1] (closed_form) 3.802860388562941 y[1] (numeric) 3.8028603885526016 absolute error 1.0339284983729158e-11 relative error 2.7188179231676344e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.760000000010706 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.76000000001044 Order of pole (three term test) 1.0000000000002307 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.770000000010718 y[1] (closed_form) 3.814098314390918 y[1] (numeric) 3.814098314380567 absolute error 1.035127539239511e-11 relative error 2.713950857883989e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.770000000010718 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.770000000010413 Order of pole (three term test) 1.000000000000218 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.78000000001073 y[1] (closed_form) 3.825339490137708 y[1] (numeric) 3.825339490127342 absolute error 1.0365930336320162e-11 relative error 2.709806636259361e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.78000000001073 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.78000000001057 Order of pole (three term test) 1.0000000000001679 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.790000000010743 y[1] (closed_form) 3.836583914747443 y[1] (numeric) 3.8365839147370715 absolute error 1.0371703496048212e-11 relative error 2.703369384462158e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.790000000010743 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.79000000001078 Order of pole (three term test) 1.000000000000006 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.800000000010755 y[1] (closed_form) 3.8478315871649826 y[1] (numeric) 3.847831587154588 absolute error 1.0394796134960416e-11 relative error 2.701468580286573e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.800000000010755 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.800000000010613 Order of pole (three term test) 1.0000000000000222 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.810000000010767 y[1] (closed_form) 3.8590825063358167 y[1] (numeric) 3.8590825063254077 absolute error 1.0409006989675618e-11 relative error 2.697275057629936e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.810000000010767 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.810000000010405 Order of pole (three term test) 1.0000000000001974 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.82000000001078 y[1] (closed_form) 3.8703366712061538 y[1] (numeric) 3.8703366711957323 absolute error 1.042144148755142e-11 relative error 2.6926446903399947e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.82000000001078 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.82000000001083 Order of pole (three term test) 1.0000000000000409 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.83000000001079 y[1] (closed_form) 3.881594080722884 y[1] (numeric) 3.881594080712448 absolute error 1.0436096431476471e-11 relative error 2.6886109712772744e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.83000000001079 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.83000000001045 Order of pole (three term test) 1.0000000000002094 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.840000000010804 y[1] (closed_form) 3.892854733833566 y[1] (numeric) 3.8928547338231225 absolute error 1.0443645948043923e-11 relative error 2.6827730963799246e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.840000000010804 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.84000000001065 Order of pole (three term test) 1.0000000000001619 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.850000000010816 y[1] (closed_form) 3.9041186294864687 y[1] (numeric) 3.9041186294760064 absolute error 1.0462297694857625e-11 relative error 2.6798103971122905e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.850000000010816 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.85000000001114 Order of pole (three term test) 0.9999999999997031 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.860000000010828 y[1] (closed_form) 3.9153857666305143 y[1] (numeric) 3.915385766620034 absolute error 1.0480505352461478e-11 relative error 2.6767491065077723e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.860000000010828 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.860000000010963 Order of pole (three term test) 1.0000000000000806 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.87000000001084 y[1] (closed_form) 3.9266561442153076 y[1] (numeric) 3.926656144204817 absolute error 1.0490719404288029e-11 relative error 2.6716674490947733e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.87000000001084 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.870000000010688 Order of pole (three term test) 1.0000000000001779 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.880000000010853 y[1] (closed_form) 3.937929761191157 y[1] (numeric) 3.9379297611806514 absolute error 1.0505374348213081e-11 relative error 2.667740408106056e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.880000000010853 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.880000000010654 Order of pole (three term test) 1.0000000000000488 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.890000000010865 y[1] (closed_form) 3.9492066165090307 y[1] (numeric) 3.949206616498512 absolute error 1.0518697024508583e-11 relative error 2.663496252775644e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.890000000010865 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.89000000001069 Order of pole (three term test) 1.0000000000002474 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.900000000010877 y[1] (closed_form) 3.9604867091205875 y[1] (numeric) 3.9604867091100515 absolute error 1.0536016503692736e-11 relative error 2.660283262516546e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.900000000010877 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.900000000010742 Order of pole (three term test) 1.0000000000002127 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.91000000001089 y[1] (closed_form) 3.9717700379781533 y[1] (numeric) 3.9717700379676018 absolute error 1.0551559626037488e-11 relative error 2.656639111817462e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.91000000001089 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.91000000001077 Order of pole (three term test) 1.000000000000031 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.9200000000109 y[1] (closed_form) 3.983056602034729 y[1] (numeric) 3.983056602024174 absolute error 1.0555112339716288e-11 relative error 2.650003099208846e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.9200000000109 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.920000000010788 Order of pole (three term test) 1.0000000000001135 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.930000000010914 y[1] (closed_form) 3.9943464002440336 y[1] (numeric) 3.994346400233455 absolute error 1.0578649067838342e-11 relative error 2.648405523164451e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.930000000010914 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.930000000010757 Order of pole (three term test) 1.0000000000001104 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.940000000010926 y[1] (closed_form) 4.005639431560397 y[1] (numeric) 4.005639431549806 absolute error 1.0590639476504293e-11 relative error 2.643932300311591e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.940000000010926 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.940000000010766 Order of pole (three term test) 1.0000000000001892 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.950000000010938 y[1] (closed_form) 4.016935694938873 y[1] (numeric) 4.01693569492827 absolute error 1.0603073974380095e-11 relative error 2.639592659583625e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.950000000010938 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.95000000001091 Order of pole (three term test) 1.0000000000000446 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.96000000001095 y[1] (closed_form) 4.028235189335177 y[1] (numeric) 4.028235189324561 absolute error 1.0616396650675597e-11 relative error 2.635495732419669e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.96000000001095 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.960000000010492 Order of pole (three term test) 1.0000000000003757 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.970000000010963 y[1] (closed_form) 4.039537913705701 y[1] (numeric) 4.039537913695069 absolute error 1.0631495683810499e-11 relative error 2.631859363849272e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.970000000010963 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.970000000010945 Order of pole (three term test) 1.0000000000000684 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.980000000010975 y[1] (closed_form) 4.050843867007501 y[1] (numeric) 4.050843866996856 absolute error 1.0644818360106001e-11 relative error 2.627802677561527e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.980000000010975 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.980000000010673 Order of pole (three term test) 1.0000000000001712 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 28.990000000010987 y[1] (closed_form) 4.062153048198319 y[1] (numeric) 4.06215304818766 absolute error 1.0658141036401503e-11 relative error 2.6237664878551765e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 30.990000000010987 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 30.99000000001074 Order of pole (three term test) 1.0000000000001485 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.000000000011 y[1] (closed_form) 4.073465456236562 y[1] (numeric) 4.073465456225891 absolute error 1.0670575534277305e-11 relative error 2.619532594278031e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.000000000011 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.000000000010925 Order of pole (three term test) 0.9999999999999996 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.01000000001101 y[1] (closed_form) 4.0847810900813215 y[1] (numeric) 4.08478109007063 absolute error 1.0691891816350108e-11 relative error 2.617494445984436e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.01000000001101 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.010000000010912 Order of pole (three term test) 1.000000000000058 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.020000000011024 y[1] (closed_form) 4.096099948692327 y[1] (numeric) 4.096099948681628 absolute error 1.0698997243707709e-11 relative error 2.611996137233747e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.020000000011024 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.020000000010977 Order of pole (three term test) 1.000000000000062 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.030000000011036 y[1] (closed_form) 4.107422031030019 y[1] (numeric) 4.1074220310193095 absolute error 1.070965538474411e-11 relative error 2.6073910359920935e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.030000000011036 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.030000000010862 Order of pole (three term test) 1.0000000000000286 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.040000000011048 y[1] (closed_form) 4.118747336055492 y[1] (numeric) 4.118747336044769 absolute error 1.0722978061039612e-11 relative error 2.6034561448260545e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.040000000011048 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.040000000010828 Order of pole (three term test) 1.000000000000164 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.05000000001106 y[1] (closed_form) 4.130075862730514 y[1] (numeric) 4.130075862719769 absolute error 1.0745182521532115e-11 relative error 2.6016913196427726e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.05000000001106 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.050000000010755 Order of pole (three term test) 1.0000000000002494 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.060000000011073 y[1] (closed_form) 4.141407610017495 y[1] (numeric) 4.141407610006742 absolute error 1.0753176127309416e-11 relative error 2.596502720789657e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.060000000011073 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.060000000010856 Order of pole (three term test) 1.0000000000000278 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.070000000011085 y[1] (closed_form) 4.152742576879554 y[1] (numeric) 4.1527425768687865 absolute error 1.0767386982024618e-11 relative error 2.5928375724448173e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.070000000011085 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.07000000001116 Order of pole (three term test) 0.9999999999999195 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.080000000011097 y[1] (closed_form) 4.164080762280449 y[1] (numeric) 4.164080762269669 absolute error 1.077982147990042e-11 relative error 2.5887637861271636e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.080000000011097 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.080000000011058 Order of pole (three term test) 1.0000000000000777 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.09000000001111 y[1] (closed_form) 4.175422165184621 y[1] (numeric) 4.175422165173824 absolute error 1.0796696869874722e-11 relative error 2.5857737116738554e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.09000000001111 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.090000000011088 Order of pole (three term test) 1.0000000000000913 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.10000000001112 y[1] (closed_form) 4.1867667845571646 y[1] (numeric) 4.186766784546354 absolute error 1.0810907724589924e-11 relative error 2.582161434084606e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.10000000001112 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.100000000010947 Order of pole (three term test) 1.0000000000000213 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.110000000011134 y[1] (closed_form) 4.198114619363842 y[1] (numeric) 4.198114619353021 absolute error 1.0821565865626326e-11 relative error 2.5777204404357504e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.110000000011134 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.110000000010878 Order of pole (three term test) 1.0000000000001177 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.120000000011146 y[1] (closed_form) 4.209465668571092 y[1] (numeric) 4.209465668560257 absolute error 1.0834888541921828e-11 relative error 2.5739344123454375e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.120000000011146 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.120000000010947 Order of pole (three term test) 1.0000000000001799 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.130000000011158 y[1] (closed_form) 4.220819931146011 y[1] (numeric) 4.220819931135157 absolute error 1.085354028873553e-11 relative error 2.571429358700134e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.130000000011158 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.130000000010554 Order of pole (three term test) 1.0000000000003184 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.14000000001117 y[1] (closed_form) 4.232177406056351 y[1] (numeric) 4.232177406045482 absolute error 1.0869527500290133e-11 relative error 2.5683062068087144e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.14000000001117 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.140000000010865 Order of pole (three term test) 1.0000000000003388 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.150000000011183 y[1] (closed_form) 4.2435380922705335 y[1] (numeric) 4.2435380922596515 absolute error 1.0881961998165934e-11 relative error 2.564360625862432e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.150000000011183 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.15000000001145 Order of pole (three term test) 0.9999999999999375 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.160000000011195 y[1] (closed_form) 4.254901988757645 y[1] (numeric) 4.25490198874675 absolute error 1.0895284674461436e-11 relative error 2.560642925089483e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.160000000011195 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.16000000001063 Order of pole (three term test) 1.0000000000003813 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.170000000011207 y[1] (closed_form) 4.266269094487427 y[1] (numeric) 4.266269094476522 absolute error 1.0905054637078138e-11 relative error 2.5561103614324004e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.170000000011207 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.170000000011242 Order of pole (three term test) 1.000000000000025 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.18000000001122 y[1] (closed_form) 4.277639408430296 y[1] (numeric) 4.277639408419375 absolute error 1.092104184863274e-11 relative error 2.55305340303106e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.18000000001122 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.180000000011233 Order of pole (three term test) 1.0000000000000502 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.19000000001123 y[1] (closed_form) 4.289012929557309 y[1] (numeric) 4.2890129295463755 absolute error 1.0933476346508542e-11 relative error 2.549182417045556e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.19000000001123 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.190000000011015 Order of pole (three term test) 1.0000000000001343 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.200000000011244 y[1] (closed_form) 4.300389656840196 y[1] (numeric) 4.300389656829248 absolute error 1.0947687201223744e-11 relative error 2.5457430779116405e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.200000000011244 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.20000000001093 Order of pole (three term test) 1.0000000000002918 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.210000000011256 y[1] (closed_form) 4.311769589251341 y[1] (numeric) 4.311769589240383 absolute error 1.0958345342260145e-11 relative error 2.5414960413417774e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.210000000011256 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.210000000011057 Order of pole (three term test) 1.000000000000144 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.220000000011268 y[1] (closed_form) 4.323152725763791 y[1] (numeric) 4.32315272575282 absolute error 1.0970779840135947e-11 relative error 2.5376803772755195e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.220000000011268 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.220000000010923 Order of pole (three term test) 1.0000000000002207 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.23000000001128 y[1] (closed_form) 4.334539065351251 y[1] (numeric) 4.334539065340264 absolute error 1.0986767051690549e-11 relative error 2.534702510704038e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.23000000001128 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.230000000010946 Order of pole (three term test) 1.0000000000002724 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.240000000011293 y[1] (closed_form) 4.345928606988082 y[1] (numeric) 4.3459286069770755 absolute error 1.1006306976923952e-11 relative error 2.5325558637171913e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.240000000011293 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.24000000001113 Order of pole (three term test) 1.000000000000157 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.250000000011305 y[1] (closed_form) 4.357321349649283 y[1] (numeric) 4.35732134963827 absolute error 1.1012524225861853e-11 relative error 2.52736104183554e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.250000000011305 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.250000000011177 Order of pole (three term test) 1.0000000000001603 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.260000000011317 y[1] (closed_form) 4.368717292310549 y[1] (numeric) 4.368717292299517 absolute error 1.1032064151095256e-11 relative error 2.525241029103204e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.260000000011317 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.26000000001119 Order of pole (three term test) 1.0000000000001663 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.27000000001133 y[1] (closed_form) 4.380116433948189 y[1] (numeric) 4.380116433937147 absolute error 1.1041834113711957e-11 relative error 2.5208996793171933e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.27000000001133 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.27000000001148 Order of pole (three term test) 0.999999999999866 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.28000000001134 y[1] (closed_form) 4.391518773539204 y[1] (numeric) 4.391518773528143 absolute error 1.106048586052566e-11 relative error 2.518601520542246e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.28000000001134 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.280000000011135 Order of pole (three term test) 1.0000000000002607 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.290000000011354 y[1] (closed_form) 4.402924310061209 y[1] (numeric) 4.40292431005014 absolute error 1.106936764472266e-11 relative error 2.51409446658618e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.290000000011354 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.29000000001114 Order of pole (three term test) 1.0000000000000995 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.300000000011366 y[1] (closed_form) 4.414333042492508 y[1] (numeric) 4.4143330424814256 absolute error 1.1082690321018163e-11 relative error 2.510614902486024e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.300000000011366 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.30000000001152 Order of pole (three term test) 0.9999999999999016 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.310000000011378 y[1] (closed_form) 4.425744969812044 y[1] (numeric) 4.425744969800944 absolute error 1.1099565710992465e-11 relative error 2.5079542058348314e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.310000000011378 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.310000000011026 Order of pole (three term test) 1.0000000000002511 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.32000000001139 y[1] (closed_form) 4.437160090999399 y[1] (numeric) 4.437160090988291 absolute error 1.1107559316769766e-11 relative error 2.5033037097987526e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.32000000001139 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.320000000011124 Order of pole (three term test) 1.0000000000001785 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.330000000011403 y[1] (closed_form) 4.448578405034837 y[1] (numeric) 4.448578405023713 absolute error 1.1124434706744069e-11 relative error 2.5006718312874046e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.330000000011403 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.330000000011243 Order of pole (three term test) 1.0000000000000793 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.340000000011415 y[1] (closed_form) 4.459999910899242 y[1] (numeric) 4.459999910888108 absolute error 1.113420466936077e-11 relative error 2.4964584959186354e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.340000000011415 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.34000000001167 Order of pole (three term test) 0.99999999999987 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.350000000011427 y[1] (closed_form) 4.471424607574171 y[1] (numeric) 4.471424607563023 absolute error 1.1148415524075972e-11 relative error 2.493258078240122e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.350000000011427 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.350000000011217 Order of pole (three term test) 1.0000000000001374 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.36000000001144 y[1] (closed_form) 4.482852494041815 y[1] (numeric) 4.482852494030655 absolute error 1.1159961843532074e-11 relative error 2.4894778176094e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.36000000001144 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.360000000011418 Order of pole (three term test) 1.0000000000000193 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.37000000001145 y[1] (closed_form) 4.494283569285024 y[1] (numeric) 4.4942835692738505 absolute error 1.1173284519827575e-11 relative error 2.486110265980632e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.37000000001145 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.370000000011196 Order of pole (three term test) 1.0000000000000635 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.380000000011464 y[1] (closed_form) 4.505717832287296 y[1] (numeric) 4.505717832276106 absolute error 1.1190159909801878e-11 relative error 2.4835465349416415e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.380000000011464 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.380000000011364 Order of pole (three term test) 1.000000000000038 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.390000000011476 y[1] (closed_form) 4.517155282032775 y[1] (numeric) 4.517155282021563 absolute error 1.1211476191874681e-11 relative error 2.4819771497492954e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.390000000011476 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.390000000011245 Order of pole (three term test) 1.0000000000001819 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.400000000011488 y[1] (closed_form) 4.52859591750623 y[1] (numeric) 4.528595917495013 absolute error 1.1217693440812582e-11 relative error 2.477079793639404e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.400000000011488 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.400000000011357 Order of pole (three term test) 1.0000000000001597 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.4100000000115 y[1] (closed_form) 4.540039737693128 y[1] (numeric) 4.540039737681893 absolute error 1.1235457009206584e-11 relative error 2.4747486053757565e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.4100000000115 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.410000000011074 Order of pole (three term test) 1.0000000000003455 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.420000000011512 y[1] (closed_form) 4.551486741579538 y[1] (numeric) 4.551486741568285 absolute error 1.1253220577600587e-11 relative error 2.472427410322477e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.420000000011512 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.420000000011374 Order of pole (three term test) 0.9999999999999417 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.430000000011525 y[1] (closed_form) 4.562936928152183 y[1] (numeric) 4.562936928140918 absolute error 1.1265655075476388e-11 relative error 2.4689482350654696e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.430000000011525 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.430000000011376 Order of pole (three term test) 1.0000000000001106 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.440000000011537 y[1] (closed_form) 4.574390296398441 y[1] (numeric) 4.574390296387164 absolute error 1.127720139493249e-11 relative error 2.465290599232728e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.440000000011537 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.440000000011153 Order of pole (three term test) 1.0000000000002456 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.45000000001155 y[1] (closed_form) 4.585846845306335 y[1] (numeric) 4.585846845295043 absolute error 1.1292300428067392e-11 relative error 2.462424238965849e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.45000000001155 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.450000000011443 Order of pole (three term test) 1.0000000000000917 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.46000000001156 y[1] (closed_form) 4.597306573864522 y[1] (numeric) 4.597306573853214 absolute error 1.1307399461202294e-11 relative error 2.459570463602394e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.46000000001156 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.460000000011213 Order of pole (three term test) 1.0000000000001383 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.470000000011574 y[1] (closed_form) 4.608769481062296 y[1] (numeric) 4.608769481050982 absolute error 1.1314504888559895e-11 relative error 2.454994751864214e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.470000000011574 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.470000000011243 Order of pole (three term test) 1.0000000000002174 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.480000000011586 y[1] (closed_form) 4.620235565889622 y[1] (numeric) 4.62023556587829 absolute error 1.1332268456953898e-11 relative error 2.4527468990148514e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.480000000011586 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.480000000011522 Order of pole (three term test) 1.0000000000001388 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.490000000011598 y[1] (closed_form) 4.6317048273370744 y[1] (numeric) 4.631704827325729 absolute error 1.13455911332494e-11 relative error 2.449549692002365e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.490000000011598 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.490000000011573 Order of pole (three term test) 1.0000000000001092 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.50000000001161 y[1] (closed_form) 4.643177264395888 y[1] (numeric) 4.6431772643845255 absolute error 1.1362466523223702e-11 relative error 2.447131754015005e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.50000000001161 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.50000000001142 Order of pole (three term test) 1.0000000000000882 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.510000000011622 y[1] (closed_form) 4.654652876057931 y[1] (numeric) 4.65465287604655 absolute error 1.1380230091617705e-11 relative error 2.444914882945198e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.510000000011622 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.510000000011193 Order of pole (three term test) 1.0000000000002451 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.520000000011635 y[1] (closed_form) 4.666131661315703 y[1] (numeric) 4.666131661304314 absolute error 1.1389111875814706e-11 relative error 2.44080379690858e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.520000000011635 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.520000000011567 Order of pole (three term test) 1.0000000000000089 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.530000000011647 y[1] (closed_form) 4.677613619162365 y[1] (numeric) 4.677613619150962 absolute error 1.1403322730529908e-11 relative error 2.4378505064665725e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.530000000011647 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.5300000000115 Order of pole (three term test) 1.000000000000055 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.54000000001166 y[1] (closed_form) 4.689098748591697 y[1] (numeric) 4.689098748580282 absolute error 1.141486904998601e-11 relative error 2.434341791887898e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.54000000001166 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.54000000001144 Order of pole (three term test) 1.0000000000001306 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.55000000001167 y[1] (closed_form) 4.7005870485981305 y[1] (numeric) 4.7005870485867005 absolute error 1.1429968083120912e-11 relative error 2.4316043857819214e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.55000000001167 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.55000000001129 Order of pole (three term test) 1.0000000000001659 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.560000000011684 y[1] (closed_form) 4.7120785181767175 y[1] (numeric) 4.7120785181652804 absolute error 1.1437073510478513e-11 relative error 2.427182286195e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.560000000011684 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.560000000011474 Order of pole (three term test) 1.0000000000000484 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.570000000011696 y[1] (closed_form) 4.723573156323177 y[1] (numeric) 4.723573156311719 absolute error 1.1457501614131615e-11 relative error 2.4256005432654545e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.570000000011696 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.570000000011458 Order of pole (three term test) 1.0000000000001728 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.580000000011708 y[1] (closed_form) 4.735070962033824 y[1] (numeric) 4.735070962022355 absolute error 1.1469047933587717e-11 relative error 2.422149113613599e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.580000000011708 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.58000000001156 Order of pole (three term test) 1.0000000000001783 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.59000000001172 y[1] (closed_form) 4.746571934305642 y[1] (numeric) 4.746571934294157 absolute error 1.148503514514232e-11 relative error 2.4196483913231624e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.59000000001172 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.59000000001162 Order of pole (three term test) 1.0000000000000044 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.600000000011732 y[1] (closed_form) 4.758076072136241 y[1] (numeric) 4.758076072124735 absolute error 1.1506351427215122e-11 relative error 2.418278155449729e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.600000000011732 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.60000000001156 Order of pole (three term test) 1.0000000000002613 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.610000000011745 y[1] (closed_form) 4.76958337452384 y[1] (numeric) 4.769583374512326 absolute error 1.1514345032992424e-11 relative error 2.4141196680814766e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.610000000011745 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.61000000001184 Order of pole (three term test) 0.9999999999999234 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.620000000011757 y[1] (closed_form) 4.781093840467335 y[1] (numeric) 4.7810938404558065 absolute error 1.1528555887707626e-11 relative error 2.4112799857910234e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.620000000011757 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.620000000011764 Order of pole (three term test) 1.0000000000000757 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.63000000001177 y[1] (closed_form) 4.7926074689662315 y[1] (numeric) 4.792607468954686 absolute error 1.1545431277681928e-11 relative error 2.4090083221800524e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.63000000001177 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.630000000011798 Order of pole (three term test) 0.9999999999999751 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.64000000001178 y[1] (closed_form) 4.804124259020668 y[1] (numeric) 4.804124259009103 absolute error 1.156497120291533e-11 relative error 2.407300598272385e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.64000000001178 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.64000000001184 Order of pole (three term test) 0.9999999999999699 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.650000000011794 y[1] (closed_form) 4.815644209631408 y[1] (numeric) 4.815644209619831 absolute error 1.1577405700791132e-11 relative error 2.404123975279576e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.650000000011794 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.650000000011904 Order of pole (three term test) 0.999999999999968 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.660000000011806 y[1] (closed_form) 4.827167319799862 y[1] (numeric) 4.827167319788272 absolute error 1.1590728377086634e-11 relative error 2.40114493847029e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.660000000011806 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.660000000011973 Order of pole (three term test) 0.9999999999998647 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.670000000011818 y[1] (closed_form) 4.838693588528066 y[1] (numeric) 4.838693588516464 absolute error 1.1602274696542736e-11 relative error 2.3978114100984343e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.670000000011818 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.67000000001147 Order of pole (three term test) 1.0000000000002336 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.68000000001183 y[1] (closed_form) 4.850223014818688 y[1] (numeric) 4.850223014807071 absolute error 1.1617373729677638e-11 relative error 2.3952246513579993e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.68000000001183 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.680000000011663 Order of pole (three term test) 1.0000000000000733 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.690000000011842 y[1] (closed_form) 4.861755597675014 y[1] (numeric) 4.861755597663386 absolute error 1.162803187071404e-11 relative error 2.3917351740747294e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.690000000011842 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.690000000011555 Order of pole (three term test) 1.0000000000001579 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.700000000011855 y[1] (closed_form) 4.873291336100976 y[1] (numeric) 4.873291336089334 absolute error 1.1642242725429242e-11 relative error 2.3889896832525444e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.700000000011855 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.700000000011535 Order of pole (three term test) 1.0000000000002995 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.710000000011867 y[1] (closed_form) 4.8848302291011265 y[1] (numeric) 4.8848302290894665 absolute error 1.1660006293823244e-11 relative error 2.3869829138297076e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.710000000011867 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.710000000011654 Order of pole (three term test) 1.0000000000001352 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.72000000001188 y[1] (closed_form) 4.8963722756806405 y[1] (numeric) 4.896372275668965 absolute error 1.1675105326958146e-11 relative error 2.3844398811230503e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.72000000001188 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.720000000011588 Order of pole (three term test) 1.000000000000148 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.73000000001189 y[1] (closed_form) 4.90791747484532 y[1] (numeric) 4.907917474833636 absolute error 1.1683987111155147e-11 relative error 2.380640499975682e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.73000000001189 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.730000000011916 Order of pole (three term test) 1.0000000000000495 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.740000000011904 y[1] (closed_form) 4.919465825601613 y[1] (numeric) 4.919465825589911 absolute error 1.170175067954915e-11 relative error 2.378662865925716e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.740000000011904 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.740000000011722 Order of pole (three term test) 1.0000000000001064 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.750000000011916 y[1] (closed_form) 4.931017326956564 y[1] (numeric) 4.931017326944851 absolute error 1.1712408820585551e-11 relative error 2.375252010686906e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.750000000011916 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.750000000011816 Order of pole (three term test) 1.0000000000000715 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.760000000011928 y[1] (closed_form) 4.942571977917872 y[1] (numeric) 4.942571977906144 absolute error 1.1728396032140154e-11 relative error 2.3729337851911073e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.760000000011928 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.760000000011892 Order of pole (three term test) 1.0000000000001552 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.77000000001194 y[1] (closed_form) 4.95412977749384 y[1] (numeric) 4.9541297774820965 absolute error 1.1743495065275056e-11 relative error 2.370445586351953e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.77000000001194 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.770000000011983 Order of pole (three term test) 0.9999999999999984 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.780000000011952 y[1] (closed_form) 4.965690724693403 y[1] (numeric) 4.9656907246816475 absolute error 1.1755041384731157e-11 relative error 2.367252017181749e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.780000000011952 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.780000000012006 Order of pole (three term test) 1.0000000000000042 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.790000000011965 y[1] (closed_form) 4.97725481852612 y[1] (numeric) 4.977254818514352 absolute error 1.176836406102666e-11 relative error 2.364428684105738e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.790000000011965 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.790000000012117 Order of pole (three term test) 0.9999999999998244 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.800000000011977 y[1] (closed_form) 4.988822058002178 y[1] (numeric) 4.988822057990391 absolute error 1.1787015807840362e-11 relative error 2.3626851530881393e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.800000000011977 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.800000000011856 Order of pole (three term test) 1.0000000000001381 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.81000000001199 y[1] (closed_form) 5.000392442132366 y[1] (numeric) 5.000392442120572 absolute error 1.1794121235197963e-11 relative error 2.358639121166354e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.81000000001199 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.8100000000116 Order of pole (three term test) 1.0000000000002955 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.820000000012 y[1] (closed_form) 5.011965969928127 y[1] (numeric) 5.011965969916319 absolute error 1.1808332089913165e-11 relative error 2.356027985976629e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.820000000012 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.820000000012033 Order of pole (three term test) 1.000000000000024 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.830000000012014 y[1] (closed_form) 5.023542640401509 y[1] (numeric) 5.023542640389677 absolute error 1.1831424728825368e-11 relative error 2.355195441892325e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.830000000012014 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.830000000011992 Order of pole (three term test) 1.0000000000001024 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.840000000012026 y[1] (closed_form) 5.035122452565155 y[1] (numeric) 5.035122452553317 absolute error 1.1837641977763269e-11 relative error 2.351013721966693e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.840000000012026 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.840000000012264 Order of pole (three term test) 0.9999999999999454 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.850000000012038 y[1] (closed_form) 5.046705405432377 y[1] (numeric) 5.046705405420527 absolute error 1.1850076475639071e-11 relative error 2.348081673815041e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.850000000012038 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.850000000012002 Order of pole (three term test) 1.0000000000000115 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.86000000001205 y[1] (closed_form) 5.058291498017084 y[1] (numeric) 5.0582914980052145 absolute error 1.1869616400872474e-11 relative error 2.346566307126728e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.86000000001205 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.860000000011947 Order of pole (three term test) 1.0000000000000737 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.870000000012062 y[1] (closed_form) 5.069880729333789 y[1] (numeric) 5.069880729321905 absolute error 1.1884715434007376e-11 relative error 2.3441804784960085e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.870000000012062 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.87000000001175 Order of pole (three term test) 1.0000000000001414 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.880000000012075 y[1] (closed_form) 5.0814730983976375 y[1] (numeric) 5.081473098385744 absolute error 1.1893597218204377e-11 relative error 2.3405805733685444e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.880000000012075 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.880000000011904 Order of pole (three term test) 1.0000000000000182 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.890000000012087 y[1] (closed_form) 5.093068604224399 y[1] (numeric) 5.093068604212497 absolute error 1.1902479002401378e-11 relative error 2.3369956164597856e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.890000000012087 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.890000000012172 Order of pole (three term test) 1.0000000000000107 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.9000000000121 y[1] (closed_form) 5.104667245830463 y[1] (numeric) 5.104667245818542 absolute error 1.1921130749215081e-11 relative error 2.335339440382204e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.9000000000121 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.90000000001168 Order of pole (three term test) 1.000000000000284 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.91000000001211 y[1] (closed_form) 5.116269022232807 y[1] (numeric) 5.1162690222208775 absolute error 1.1929124354992382e-11 relative error 2.331606157368628e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.91000000001211 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.910000000012214 Order of pole (three term test) 1.0000000000000255 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.920000000012124 y[1] (closed_form) 5.127873932449063 y[1] (numeric) 5.127873932437114 absolute error 1.1948664280225785e-11 relative error 2.330140022478892e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.920000000012124 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.920000000011868 Order of pole (three term test) 1.0000000000002596 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.930000000012136 y[1] (closed_form) 5.139481975497439 y[1] (numeric) 5.139481975485483 absolute error 1.1956657886003086e-11 relative error 2.32643249708952e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.930000000012136 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.93000000001201 Order of pole (three term test) 1.0000000000000069 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.940000000012148 y[1] (closed_form) 5.151093150396797 y[1] (numeric) 5.151093150384826 absolute error 1.1970868740718288e-11 relative error 2.3239472459930479e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.940000000012148 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.940000000011864 Order of pole (three term test) 1.0000000000001588 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.95000000001216 y[1] (closed_form) 5.1627074561665935 y[1] (numeric) 5.162707456154601 absolute error 1.1992185022791091e-11 relative error 2.322848064626833e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.95000000001216 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.95000000001229 Order of pole (three term test) 0.999999999999899 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.960000000012172 y[1] (closed_form) 5.174324891826885 y[1] (numeric) 5.174324891814883 absolute error 1.2001954985407792e-11 relative error 2.3195209493639458e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.960000000012172 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.96000000001182 Order of pole (three term test) 1.0000000000000964 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.970000000012185 y[1] (closed_form) 5.185945456398372 y[1] (numeric) 5.185945456386353 absolute error 1.2018830375382095e-11 relative error 2.317577474817706e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.970000000012185 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.970000000012167 Order of pole (three term test) 0.9999999999999635 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.980000000012197 y[1] (closed_form) 5.197569148902346 y[1] (numeric) 5.197569148890311 absolute error 1.2034817586936697e-11 relative error 2.315470413602536e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.980000000012197 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.98000000001208 Order of pole (three term test) 1.0000000000000255 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 29.99000000001221 y[1] (closed_form) 5.209195968360717 y[1] (numeric) 5.209195968348667 absolute error 1.2049916620071599e-11 relative error 2.3132008650201712e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 Radius of convergence (given) for eq 1 31.99000000001221 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 31.990000000012135 Order of pole (three term test) 1.000000000000031 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = ln ( 0.1 * x + 0.2 ) ; Iterations 10000 Total Elapsed Time 2 Seconds Elapsed Time(since restart) 2 Seconds Time to Timeout 2 Minutes 58.0 Seconds Percent Done 100.01000000012223%